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https://socratic.org/questions/the-price-of-a-notebook-was-3-50-yesterday-today-the-price-rose-to-3-75-how-do-y | The price of a notebook was $3.50 yesterday Today, the price rose to$3.75. How do you find the percentage increase?
Dec 5, 2016
7.1% subtract the final price by the original price to find the increase and then divide the increase by the original price.
Explanation:
Find the increase
$3.75 - 3.50 = .25$
Then divide the increase by the original amount
$\frac{.25}{3.50} = .0714285$
To change to a percent multiply by 100 and round off to significant numbers
# .0714285 = 7. 14285% or 7.1% or just 7% | 2019-12-15 18:03:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 2, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.20654799044132233, "perplexity": 1714.3214675462011}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-51/segments/1575541309137.92/warc/CC-MAIN-20191215173718-20191215201718-00301.warc.gz"} | 148 |
https://zbmath.org/?q=an:0381.08002 | ## Weak homomorphisms of general algebras.(English)Zbl 0381.08002
### MSC:
08A05 Structure theory of algebraic structures 08A35 Automorphisms and endomorphisms of algebraic structures | 2022-05-25 15:45:36 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8181503415107727, "perplexity": 3797.7331799869976}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662588661.65/warc/CC-MAIN-20220525151311-20220525181311-00083.warc.gz"} | 52 |
http://www.ams.org/mathscinet-getitem?mr=MR2462529 | MathSciNet bibliographic data MR2462529 (2009i:11023) 11B68 (11S80) Kim, Taekyun Symmetry \$p\$$p$-adic invariant integral on \$\Bbb Z\sb p\$$\Bbb Z\sb p$ for Bernoulli and Euler polynomials. J. Difference Equ. Appl. 14 (2008), no. 12, 1267–1277. Article
For users without a MathSciNet license , Relay Station allows linking from MR numbers in online mathematical literature directly to electronic journals and original articles. Subscribers receive the added value of full MathSciNet reviews. | 2013-12-06 18:13:17 | {"extraction_info": {"found_math": true, "script_math_tex": 2, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9928060173988342, "perplexity": 11876.648004653829}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2013-48/segments/1386163052286/warc/CC-MAIN-20131204131732-00074-ip-10-33-133-15.ec2.internal.warc.gz"} | 140 |
https://gateoverflow.in/244397/isi2016-pcb-b-5 | 20 views
What will be the output of the following C program? If you think it will give a runtime error, you need to mention it. In either case, your answer must include proper justifications without which no credit will be given.
#include<stdio.h>
main()
{
unsigned char i, j, a[]={1, 2, 3, 4, 5};
int n;
i=j=n=5;
while(i-- !=0) n+=a[i];
while j++ !=0) n+=2;
printf("i=%d, j=%d, n=%d\n", i, j, n);
while(j-- !=0) a[0]+=n;
printf("j=%d, a[0]=%d\n", j, a[0]);
}
asked in Others | 20 views
1
2 | 2019-05-26 05:36:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8435750603675842, "perplexity": 8415.936536625895}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-22/segments/1558232258849.89/warc/CC-MAIN-20190526045109-20190526071109-00442.warc.gz"} | 174 |
http://clay6.com/qa/31741/during-fusion-the-entropy-of-the-system | Browse Questions
# During fusion, the entropy of the system
$(a)\;\text{increases} \\(b)\;\text {Decreases} \\(c)\;\text{constant} \\(d)\;\text{Double the initial value}$
During fusion, the entropy of the system increases.
Hence a is the correct answer. | 2017-02-24 08:09:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9863254427909851, "perplexity": 2530.4316392509263}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-09/segments/1487501171418.79/warc/CC-MAIN-20170219104611-00372-ip-10-171-10-108.ec2.internal.warc.gz"} | 72 |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-8-section-8-2-solving-quadratic-equations-by-the-quadratic-formula-vocabulary-readiness-video-check-page-491/2 | ## Intermediate Algebra (6th Edition)
Published by Pearson
# Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Vocabulary, Readiness & Video Check: 2
#### Answer
$b=1$ and $c=1$
#### Work Step by Step
If $ax^{2}+bx+c=0$ and $2x^{2}+1x+1=0$, then $a=2$, $b=1$, and $c=1$.
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback. | 2017-06-28 17:43:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7092462778091431, "perplexity": 2124.387797982375}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-26/segments/1498128323721.80/warc/CC-MAIN-20170628171342-20170628191342-00500.warc.gz"} | 143 |
https://www.italki.com/post/question-483833?hl=en | Tâm
Can I say? We don't say: - I guess this is two men's house. - I guess this is three boys' house. - I guess this is some boys' house. We say: - I guess this is the house belongs to two men. - I guess this is the house belongs to three boys. - I guess this is the house belongs to some boys. So, can I say: - I guess this is the house of two men. - I guess this is the house of three boys. - I guess this is the house of some boys.
Oct 6, 2019 2:17 PM | 2021-09-28 08:16:59 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9420766830444336, "perplexity": 696.7887515234083}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780060538.11/warc/CC-MAIN-20210928062408-20210928092408-00629.warc.gz"} | 132 |
https://www.cdslab.org/recipes/programming/visualization-coloring/visualization-coloring | Consider the following color palettes. Which one is more appropriate for effective visualization communications with humans? | 2022-07-05 00:33:46 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9295204877853394, "perplexity": 1295.2001141116507}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656104506762.79/warc/CC-MAIN-20220704232527-20220705022527-00280.warc.gz"} | 19 |
https://brilliant.org/problems/flipping-coefficients/ | # Flipping coefficients
If $x$ is an integer such that $3x+4$ is divisible by 7, is $4x+3$ also divisible by 7?
× | 2019-10-14 19:12:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.395363986492157, "perplexity": 462.9861188353536}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-43/segments/1570986654086.1/warc/CC-MAIN-20191014173924-20191014201424-00476.warc.gz"} | 40 |
https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-3-section-3-4-the-slope-of-a-line-exercise-set-page-161/21 | # Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 21
Horizontal
#### Work Step by Step
We are given that $m=0$, which means that the slope of the line is zero (as shown on the box on pg. 158). In other words, as we move from left to right on the line, the y-value stays the same. So the line is horizontal from left to right.
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback. | 2018-05-21 23:12:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7727349400520325, "perplexity": 291.9241621525168}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-22/segments/1526794864558.8/warc/CC-MAIN-20180521220041-20180522000041-00466.warc.gz"} | 128 |
https://homework.cpm.org/category/CCI_CT/textbook/calc/chapter/3/lesson/3.3.2/problem/3-102 | ### Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem3-102
3-102.
1. Find f ′(x) for each of the following functions. Homework Help ✎
f '(x) = 2(x − 5)2 + 2x
Before you find the derivative, rename f(x) using laws of exponent.
$\text{ Careful. What is sin}\frac{\pi }{4}?$
$\text{ Describe the graph of }y=\text{ sin}\frac{\pi }{4}.$
Describe the behavior of its slope.
Refer the the hint in part (b). | 2020-01-24 20:27:43 | {"extraction_info": {"found_math": true, "script_math_tex": 2, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6594486236572266, "perplexity": 5169.212539630648}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-05/segments/1579250625097.75/warc/CC-MAIN-20200124191133-20200124220133-00540.warc.gz"} | 138 |
http://math-res-pub.org/adjm/10/1/homological-dimensions-amalgamated-duplication-ring-along-pure-ideal | Skip to content Skip to navigation
# Homological Dimensions of the Amalgamated Duplication of a Ring Along a Pure Ideal
Volume 10, Number 1 (2010), 1 - 6 | 2018-11-21 19:40:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4899708330631256, "perplexity": 1361.4420626427627}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-47/segments/1542039750800.95/warc/CC-MAIN-20181121193727-20181121214804-00062.warc.gz"} | 43 |
https://iqnca.intiquan.com/book/installation.html | # 2 Installation
## 2.1 Easy Installation
IQnca is an R package that can be installed with the R command install.packages() as follows:
install.packages("IQnca",
repos = c("https://iqnca.intiquan.com/rrepo", "https://cran.r-project.org/"),
dependencies = TRUE)
## 2.2 License
IQnca is available as an open source R package and published under the GNU Affero General Public License, Version 3.
## 2.3 Source Code
The source code can be downloaded from here. | 2021-10-23 11:30:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.17702850699424744, "perplexity": 4171.453852316467}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-43/segments/1634323585671.36/warc/CC-MAIN-20211023095849-20211023125849-00416.warc.gz"} | 121 |
https://www.gradesaver.com/textbooks/science/chemistry/general-chemistry-10th-edition/chapter-10-molecular-geometry-and-chemical-bonding-theory-questions-and-problems-page-420/10-16 | General Chemistry 10th Edition
We know that $O_3$ molecule consists of frameworks of localized orbitals and of delocalized orbitals .The localized framework is formed from $sp^2$ hybrid orbitals on each atom. | 2019-11-12 03:41:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.33911430835723877, "perplexity": 4404.395516274757}, "config": {"markdown_headings": false, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-47/segments/1573496664567.4/warc/CC-MAIN-20191112024224-20191112052224-00488.warc.gz"} | 49 |
https://www.gradesaver.com/textbooks/science/chemistry/chemistry-and-chemical-reactivity-9th-edition/chapter-10-gases-and-their-properties-10-1-gas-pressure-review-check-for-section-10-1-page-374/2 | Chemistry and Chemical Reactivity (9th Edition)
Pressure in Pa: $0.95\ atm×101325\ Pa/1\ atm=96259\ Pa$ From definition: $P=d.g.h$ $96259\ Pa×1\ kg/m.s^2/1\ Pa=1250\ kg/m^3×9.81\ m/s^2×h$ Solving for the height: $h=7.85\ m$ | 2021-04-18 00:00:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7042841911315918, "perplexity": 2559.1720997144494}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-17/segments/1618038464065.57/warc/CC-MAIN-20210417222733-20210418012733-00031.warc.gz"} | 97 |
https://qubit.guide/information-about-this-web-version.html | This book has some functionality unique to the online version, accessed using the toolbar along the top of the window. From left to right, the icons have the following use:
There are also some keyboard shortcuts: you can go to the previous/next section by using the right/left arrow keys ←/→; toggle the table of contents with s; jump to the search bar with f. | 2022-05-19 21:36:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7047322392463684, "perplexity": 1379.298060800536}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662530066.45/warc/CC-MAIN-20220519204127-20220519234127-00480.warc.gz"} | 77 |
https://gateoverflow.in/297820/cyclic-group | # cyclic group
153 views
1-) 1
2-) 2
3-) 3
4-) 4
0
type the problem statement
0
2??
## Related questions
1
383 views
The order of cyclic group is equal to order of generating element.... Somebody explain with example plz
Suppose that $G$ is a cyclic group of order $10$ with generator $a\in G$.Order of $a^{8}$ is _______ | 2021-01-27 03:09:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6390981078147888, "perplexity": 3121.763686339531}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-04/segments/1610704820894.84/warc/CC-MAIN-20210127024104-20210127054104-00187.warc.gz"} | 100 |
https://homework.cpm.org/category/CC/textbook/cca2/chapter/6/lesson/6.1.1/problem/6-11 | ### Home > CCA2 > Chapter 6 > Lesson 6.1.1 > Problem6-11
6-11.
Solve each exponential equation for x.
1. $10^x=16$
Rewrite it in $k=\log_bN$ format.
Use your calculator for $\log_{10}16$.
2. $10^x=41$
See part (a).
3. $3^x=729$
What are some powers of $3$? $3^4,3^5,...$
4. $10^x=101$
See part (a). | 2022-06-27 15:32:37 | {"extraction_info": {"found_math": true, "script_math_tex": 8, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9749666452407837, "perplexity": 14522.90264670927}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656103334753.21/warc/CC-MAIN-20220627134424-20220627164424-00268.warc.gz"} | 126 |
https://web2.0calc.com/questions/algebra_53696 | +0
# algebra
0
136
1
The real numbers x, y and z satisfy the equations x+2y+3z=950 and 3x+2y+z=450 . What is the average of x, y and z ?
Feb 27, 2021
If we add the equations given in the question, we get $4x+4y+4z = 1400.$ Dividing by $4$ on each side, we get $x+y+z=350.$ Therefore, the average of $x,y,z$ is just $\frac{x+y+z}{3} = \boxed{\frac{350}{3}}.$ | 2021-09-19 21:16:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9905493259429932, "perplexity": 228.37214601945624}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780056900.32/warc/CC-MAIN-20210919190128-20210919220128-00709.warc.gz"} | 141 |
https://www.questarter.com/q/evaluate-sum-i-1-infty-prod-j-1-i-frac-j-frac-1-2-j-left-j-frac-1-2-right-2-21_3290806.html | # Evaluate $\sum_{i=1}^{\infty}\prod_{j=1}^{i}\frac{j-\frac{1}{2}}{j\left(j+\frac{1}{2}\right)^2}$
by Power ranger Last Updated July 12, 2019 10:20 AM - source
We want to evaluate this formula sum,
$$\sum_{i=1}^{\infty}\prod_{j=1}^{i}\frac{j-\frac{1}{2}}{j\left(j+\frac{1}{2}\right)^2}$$
Tags : | 2019-07-17 18:21:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 1, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.2902070879936218, "perplexity": 7755.96287932225}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-30/segments/1563195525374.43/warc/CC-MAIN-20190717181736-20190717203736-00112.warc.gz"} | 129 |
https://www.projecteuclid.org/euclid.em/1317758091 | Experimental Mathematics
2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves
Nicholas M. Katz
Abstract
For a given integer $A$ and various families of elliptic curves over finite fields, we compare the number of occurrences of $A$ with the number of occurrences of $-A$ as the trace of Frobenius in the family.
Article information
Source
Experiment. Math., Volume 19, Issue 3 (2010), 267-277.
Dates
First available in Project Euclid: 4 October 2011 | 2019-09-18 20:46:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.24940195679664612, "perplexity": 636.8032147588706}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-39/segments/1568514573331.86/warc/CC-MAIN-20190918193432-20190918215432-00134.warc.gz"} | 124 |
https://www.gradesaver.com/textbooks/math/calculus/calculus-early-transcendentals-2nd-edition/chapter-4-applications-of-the-derivative-4-7-l-hopital-s-rule-4-7-exercises-page-308/91 | ## Calculus: Early Transcendentals (2nd Edition)
The solution is $$\lim_{x\to1^+}\left(\frac{1}{x-1}-\frac{1}{\sqrt{x-1}}\right)=\infty$$
To solve this limit follow the steps below: $$\lim_{x\to1^+}\left(\frac{1}{x-1}-\frac{1}{\sqrt{x-1}}\right)=\lim_{x\to1^+}\left(\frac{1}{x-1}-\frac{\sqrt{x-1}}{x-1}\right)=\lim_{x\to1^+}\frac{1-\sqrt{x-1}}{x-1}=\left[\frac{1-\sqrt{1^+-1}}{1^+-1}\right]=\left[\frac{1-0^+}{0^+}\right]=\infty.$$ | 2018-04-25 13:20:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7222289443016052, "perplexity": 2345.2758430337117}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-17/segments/1524125947803.66/warc/CC-MAIN-20180425115743-20180425135743-00265.warc.gz"} | 203 |
http://mathhelpforum.com/number-theory/194384-primes-quadratic-residues-another-prime.html | ## Primes that are quadratic residues another prime.
Let $p$ be an odd prime number. Show that there are infinitely many prime numbers that are quadratic residues modulo $p$. Show that there are infinitely many prime numbers that are quadratic nonresidues modulo $p$.
I actually really don't know how to go about proving this. I thought Euler's Criterion or the laws of quadratic reciprocity might help but I have no idea how to apply them for this question. | 2015-11-30 17:30:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.959564745426178, "perplexity": 43.69230455298653}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-48/segments/1448398462709.88/warc/CC-MAIN-20151124205422-00306-ip-10-71-132-137.ec2.internal.warc.gz"} | 96 |
https://brilliant.org/problems/lets-learn-a-b-c-today/ | # Let's learn A B C today
If $$(x+y)^2$$ has three terms which are $$x^2+y^2+2xy$$ then how many terms does $$(a+b+c+d+\cdots+ y+z)^2$$ will have?
This problem is original.
× | 2017-07-26 16:31:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7344185709953308, "perplexity": 1743.7310148284814}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-30/segments/1500549426234.82/warc/CC-MAIN-20170726162158-20170726182158-00372.warc.gz"} | 62 |
https://brilliant.org/problems/parametric-in-t/ | # Parametric in $$t$$
Calculus Level 3
Given that $$x = \dfrac {t^2}2 a(t)$$ and $$y = t \cdot v(t)$$, where $$a(t)$$ and $$v(t)$$ are functions of $$t$$. Find the value of $$\dfrac{dy}{dx}$$ at $$t = 1$$ if when $$t = 1$$, $$y = 2$$, $$a(1) = 2v(1) , a'(1) = v'(1) = x$$.
× | 2017-03-26 18:55:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9204987287521362, "perplexity": 226.64620934179365}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-13/segments/1490218189245.97/warc/CC-MAIN-20170322212949-00625-ip-10-233-31-227.ec2.internal.warc.gz"} | 127 |
https://cracku.in/2-a-5-kg-object-is-raised-through-a-height-of-4-m-th-x-rrb-alp-21st-aug-2018-shift-3 | Question 2
# A 5 kg object is raised through a height of 4 m. The work done by the force of gravityacting on the object is $$(take g =10m/s^{2})$$:
Solution
The correct option is D.
Work done = $$-mgh$$ = - 5 x 4 x 10 = - 200J
Note:- work done will be negative as displacement and force of gravity are in the opposite direction. | 2022-06-29 04:23:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.33204057812690735, "perplexity": 262.77183058426175}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656103620968.33/warc/CC-MAIN-20220629024217-20220629054217-00376.warc.gz"} | 97 |
https://www.gradesaver.com/textbooks/math/other-math/CLONE-547b8018-14a8-4d02-afd6-6bc35a0864ed/chapter-7-measurement-7-3-the-metric-system-capacity-and-weight-mass-7-3-exercises-page-502/72 | Basic College Mathematics (10th Edition)
$1~L$ is greater by $0.01~L$.
First, we convert 990 mL to Liters: $990~ml*\frac{1~L}{1000~mL}=0.99~L$ This is clearly less than $1~L$. We find the difference: $1~L-0.99~L=0.01~L$ | 2021-02-25 07:23:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9228476285934448, "perplexity": 885.4669928795518}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-10/segments/1614178350846.9/warc/CC-MAIN-20210225065836-20210225095836-00402.warc.gz"} | 90 |
https://socratic.org/questions/53635fef02bf343b2dc1b820 | # Question #1b820
So if you calculate the amount of energy before (${E}_{b}$) the motion, in presence of friction, you can notice that after the motion the energy will be less (${E}_{a}$), because some energy is emitted in heat.
${E}_{e} = {E}_{b} - {E}_{a}$. | 2019-07-18 23:54:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 3, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.905458390712738, "perplexity": 490.4286699286706}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-30/segments/1563195525863.49/warc/CC-MAIN-20190718231656-20190719013656-00058.warc.gz"} | 74 |
https://math.stackexchange.com/questions/2330121/let-s-be-the-set-of-all-subsets-of-1-n-with-size-k-find-the-numbe | # Let $S$ be the set of all subsets of $\{1,…,n\}$ with size $k$. Find the number of other elements that has an intersection of size $l$ with a vertex
Let $S$ be the set of subsets of size $k$ from $\{1,\dots,n\}$.
Let $a$ be an element of $S$.
Determine the number of other elements of $S$ that have an intersection of size $l$ with $a$. | 2019-12-12 21:51:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8823713064193726, "perplexity": 29.506629146359423}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-51/segments/1575540547165.98/warc/CC-MAIN-20191212205036-20191212233036-00530.warc.gz"} | 104 |
https://learn.careers360.com/engineering/question-help-me-solve-this-a-pn-junction-has-a-thickness-of-the-order-of/ | #### A PN- junction has a thickness of the order of Option 1) Option 2) Option 3) Option 4)
As we learnt in
P-N junction -
When p type semiconductor is mixed with N - type semiconductor, P-N junction formed
- wherein
There is very thin region (of the order of micro meter) called depution region.
The thickness of PN junction i.e. the depletion region is of the order of
Option 1)
Incorrect
Option 2)
Incorrect
Option 3)
Correct
Option 4)
Incorrect | 2023-03-20 15:20:25 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.940659761428833, "perplexity": 7658.703798358797}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296943484.34/warc/CC-MAIN-20230320144934-20230320174934-00588.warc.gz"} | 116 |
https://www.lessonplanet.com/teachers/sum-of-the-angles-of-a-triangle | # Sum of the angles of a triangle
Students prove that the sum of the interior angles of a triangle is 180 degrees. Students are introduced to Geometer's Sketchpad through a demonstration then try their hand at proving the interior angle's measurement.
Concepts
Resource Details
7th - 8th
Subjects
21st Century Skills
3 more...
Resource Type
Lesson Plans
Instructional Strategy
Skills Practice
Technology
Ed Software | 2018-11-14 15:09:47 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8317858576774597, "perplexity": 2652.7234078243073}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-47/segments/1542039742117.38/warc/CC-MAIN-20181114150002-20181114172002-00244.warc.gz"} | 90 |
https://stats.stackexchange.com/questions/15936/probability-of-throwing-same-sequence-of-13-heads-or-tails | # Probability of throwing same sequence of 13 heads or tails
Simple (I hope) probability question I'd love it if someone could answer for me.
You flip a coin 13 times (two outcomes: heads or tails).
Before the coin tossing, I've written down the 'winning sequence', eg. a random sequence of 13 outcomes, heads or tails for each toss.
If you have a fair coin: $(1/2)^{13}$. $1/2$ that you have the first correct, multiplied by $1/2$ that you have the second correct, ... | 2021-04-16 01:34:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7797291278839111, "perplexity": 801.682706982436}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-17/segments/1618038088471.40/warc/CC-MAIN-20210416012946-20210416042946-00489.warc.gz"} | 121 |
http://netlogor.predictiveecology.org/reference/worldArray-class.html | This is an s4 class extension of array. It is a collection of several worldMatrix objects with the same extent (i.e., same values for all their slots) stacked together. It is used to keep more than one value per patch.
worldMatrix | 2022-05-22 14:43:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.23069949448108673, "perplexity": 857.4945209611311}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662545548.56/warc/CC-MAIN-20220522125835-20220522155835-00382.warc.gz"} | 51 |
https://brainiak.in/757/distinguish-between-accuracy-precision | # Distinguish between accuracy and precision.
more_vert
more_vert
verified
Accuracy Precision
Accuracy refers to nearness of the measured value to the true value. Precision refers to closeness of multiple readings of the same quantity.
Accuracy represents error with respect to true value Precision representsents error in the repeated measurements
Accuracy is expressed in terms of absolute error and relative error Precision is expressed in terms of absolute deviation and relative deviation. | 2022-12-04 06:06:44 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8427378535270691, "perplexity": 1137.4305597732048}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-49/segments/1669446710962.65/warc/CC-MAIN-20221204040114-20221204070114-00310.warc.gz"} | 88 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-and-trigonometry-10th-edition/chapter-1-1-6-other-types-of-equations-1-6-exercises-page-128/47 | ## Algebra and Trigonometry 10th Edition
$x=±\sqrt {14}$
$(x^2-5)^{\frac{3}{2}}=27~~$ (Square both sides) $[(x^2-5)^{\frac{3}{2}}]^2=27^2$ $(x^2-5)^3=729$ $x^2-5=\sqrt[3] {729}$ $x^2-5=9$ $x^2=14$ $x=±\sqrt {14}$ Check the solutions: $x=\sqrt {14}$ $[(\sqrt {14})^2-5]^{\frac{3}{2}}=(14-5)^{\frac{3}{2}}=9^{\frac{3}{2}}=(\sqrt 9)^3=3^3=27$ $x=-\sqrt {14}$ $[(-\sqrt {14})^2-5]^{\frac{3}{2}}=(14-5)^{\frac{3}{2}}=9^{\frac{3}{2}}=(\sqrt 9)^3=3^3=27$ | 2020-02-25 02:01:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6879972815513611, "perplexity": 524.5020579526408}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-10/segments/1581875146004.9/warc/CC-MAIN-20200225014941-20200225044941-00469.warc.gz"} | 245 |
https://competitive-exam.in/questions/discuss/the-ionic-radii-of-lt-math | 4
The ionic radii of and ${O}^{-2}$ are 0.66 $\stackrel{°}{A}$ and 1.40 $\stackrel{°}{A}$ , respectively. The most probable type of gteometry exhibited by MgO on the basis of radius ratio rule is
NaCl type
CsCl type
ZnS type
Boron oxide type
Please do not use chat terms. Example: avoid using "grt" instead of "great". | 2022-05-16 21:24:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.5453953146934509, "perplexity": 9754.30074306051}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662512249.16/warc/CC-MAIN-20220516204516-20220516234516-00464.warc.gz"} | 103 |
https://www.findfilo.com/math-question-answers/write-down-the-binomial-expansion-of-1-x-n-1-when-l6k | Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduc | Filo
Class 11
Math
JEE Main Questions
Binomial Theorem
546
150
Write down the binomial expansion of , when x=8. Deduce that is divisible by 64 where, is a positive integer.
546
150
Connecting you to a tutor in 60 seconds. | 2021-09-24 13:21:29 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8250673413276672, "perplexity": 3113.769696043118}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780057524.58/warc/CC-MAIN-20210924110455-20210924140455-00011.warc.gz"} | 90 |
https://stacks.math.columbia.edu/tag/00WA | Definition 7.10.9. We say that a presheaf of sets $\mathcal{F}$ on a site $\mathcal{C}$ is separated if, for all coverings of $\{ U_ i \rightarrow U\}$, the map $\mathcal{F}(U) \to \prod \mathcal{F}(U_ i)$ is injective.
There are also:
• 8 comment(s) on Section 7.10: Sheafification
In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar). | 2023-03-29 06:56:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 2, "x-ck12": 0, "texerror": 0, "math_score": 0.9348910450935364, "perplexity": 858.1114074592941}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296948951.4/warc/CC-MAIN-20230329054547-20230329084547-00113.warc.gz"} | 145 |
https://brilliant.org/problems/bisecting-a-parallelogram/ | # Bisecting a Parallelogram
Geometry Level 4
Let $$A = (0,0)$$, $$B = (2,4)$$, $$C = (17,4)$$ and $$D = (15,0)$$. Then $$ABCD$$ is a parallelogram. A line through the point $$(0,-1)$$ divides the parallelogram into two regions of equal area. The slope of this line can be written as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are positive coprime integers. Find $$a+b$$.
× | 2017-05-27 19:45:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6932752728462219, "perplexity": 72.14872256681403}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-22/segments/1495463609054.55/warc/CC-MAIN-20170527191102-20170527211102-00122.warc.gz"} | 130 |
https://proofwiki.org/wiki/Category:Complex_Modulus | # Category:Complex Modulus
This category contains results about Complex Modulus.
Definitions specific to this category can be found in Definitions/Complex Modulus.
Let $z = a + i b$ be a complex number, where $a, b \in \R$.
Then the (complex) modulus of $z$ is written $\cmod z$ and is defined as the square root of the sum of the squares of the real and imaginary parts:
$\cmod z := \sqrt {a^2 + b^2}$
## Subcategories
This category has the following 7 subcategories, out of 7 total. | 2022-09-30 21:52:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8461382985115051, "perplexity": 388.0310440038124}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-40/segments/1664030335504.37/warc/CC-MAIN-20220930212504-20221001002504-00246.warc.gz"} | 130 |
https://nrich.maths.org/7039/index?nomenu=1 | Kimberly wants to define $3^{3^3}$ as $(3^3)^3$ but Nermeen thinks that such a stack of powers should be defined as $3^{(3^3)}$ .
Do their definitions lead to the same numerical value? Is the same true if $3$ is replaced with some other number?
How would Kimberly's and Nermeen's definitions most naturally extend to the definition of $3^{3^{3^3}}$? Do their definitions lead to the same numerical value? Is the same true if $3$ is replaced with some other number? | 2018-05-22 15:26:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7972882986068726, "perplexity": 485.7756029118513}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-22/segments/1526794864798.12/warc/CC-MAIN-20180522151159-20180522171159-00463.warc.gz"} | 126 |
https://www.physicsforums.com/threads/is-this-inequality-true.589104/ | # Is this inequality true ?
Is this inequality true ??
$0\leq \sum_{k=0}^{n} \frac{1}{(k+1)^2 (n-k+1)} \leq \frac{1}{\sqrt{n+1}}$ for all natural numbers n
Is it true ??
Thanks
disregardthat
Can you write $$\frac{1}{(k+1)^2(n-k+1)}$$ differently? You want something on the form $$\frac{a}{k+1} + \frac{bk+c}{(k+1)^2} + \frac{d}{n-k+1}$$ . | 2021-01-26 05:52:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8713457584381104, "perplexity": 945.8537164393869}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-04/segments/1610704798089.76/warc/CC-MAIN-20210126042704-20210126072704-00482.warc.gz"} | 143 |
http://math.chapman.edu/cgi-bin/structures?action=history;id=Dedekind_domains | Mathematical Structures: History of Dedekind domains
# History of Dedekind domains
Revision 2 . . July 10, 2004 12:47 pm by Jipsen Revision 1 . . July 8, 2004 1:49 pm by Jipsen
Difference (from prior major revision) (no other diffs)
Changed: 28,29c28,29
A ... is a structure $\mathbf{A}=\langle A,...\rangle$ of type $\langle A Dedekind domain is a \href{Integral_domains.pdf}{integral domain}$\mathbf{A}=\langle A,...\rangle$of type$\langle | 2013-06-18 05:39:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.30405542254447937, "perplexity": 5334.842250787309}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2013-20/segments/1368706933615/warc/CC-MAIN-20130516122213-00087-ip-10-60-113-184.ec2.internal.warc.gz"} | 143 |
https://ask.sagemath.org/answers/33904/revisions/ | The TSP solver assumes you have weighted edges already. See that documentation for ways to either add edges one by one, or you can separately use add_edge_label. In any case, you'll have to probably take your matrix and programmatically use those values to set the edge labels. Probably by going through the columns, and then through the rows in each column - but watch out, since such a matrix had better be symmetric, so you only need the first i-1 entries of the ith column, I suppose! | 2018-10-19 22:18:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8022197484970093, "perplexity": 484.7973134899448}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-43/segments/1539583512460.41/warc/CC-MAIN-20181019212313-20181019233813-00419.warc.gz"} | 104 |
https://doxygen.opengeosys.org/d1/d0b/ogs_file_param__prj__process_variables__process_variable__boundary_conditions__boundary_condition__normaltraction | OGS
[case] NormalTraction
The normal traction boundary condition is a special type of Neumann boundary condition where the given value is applied in the direction of the element's normal vector $$\mathbf{n}$$:
$\bar{t} := \sigma \mathbf{n} = p \mathbf{n},$
where $$p$$ is the value on the boundary given by the parameter tag.
# Additional info
No additional info. | 2021-09-25 12:38:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9645246863365173, "perplexity": 275.6257726283512}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780057622.15/warc/CC-MAIN-20210925112158-20210925142158-00067.warc.gz"} | 94 |
https://www.transtutors.com/questions/taylor-systems-has-just-issued-preferred-stock-the-stock-has-a-8-annual-dividend-and-2573407.htm | # Taylor Systems has just issued preferred stock. The stock has a 8?% annual dividend and a $50 p... Taylor Systems has just issued preferred stock. The stock has a 8?% annual dividend and a$50 par value and was sold at ?$47.00 per share. In? addition, flotation costs of ?$3.50 per share were paid. Calculate the cost of the preferred stock.
The cost of the preferred stock is %. ?(Round to two decimal? places.) | 2018-12-13 12:54:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.27576616406440735, "perplexity": 11752.235716133755}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-51/segments/1544376824822.41/warc/CC-MAIN-20181213123823-20181213145323-00024.warc.gz"} | 103 |
http://www.physicsforums.com/showthread.php?p=3751216 | # Given an electric field, how to find its field lines?
by AlonsoMcLaren
Tags: electric, field, lines
P: 75 Given the mathematical expression of an electric field, how to find its field lines?
Sci Advisor P: 1,233 As a simple case, take $$E_x=f(x,y),\quad E_y=g(x,y)$$. Then solve the differential equation $$dy/dx=g/f$$ for y(x).
Related Discussions Introductory Physics Homework 7 General Physics 3 Introductory Physics Homework 6 Introductory Physics Homework 1 Introductory Physics Homework 2 | 2013-12-13 05:43:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4365314841270447, "perplexity": 1430.8348597394042}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2013-48/segments/1386164888618/warc/CC-MAIN-20131204134808-00023-ip-10-33-133-15.ec2.internal.warc.gz"} | 123 |
https://socratic.org/questions/how-do-you-solve-8-1-3x-x | # How do you solve -8=1/3x+x?
$x = - 6$
$- 8 = \frac{x + 3 x}{3}$ u will first take the LCM and do this
After that $3 \left(- 8\right) = 4 x$
then $- 24 = 4 x$
and finally $x = - 6$ | 2021-12-02 08:22:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8307421803474426, "perplexity": 1331.6948385618307}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964361169.72/warc/CC-MAIN-20211202054457-20211202084457-00239.warc.gz"} | 82 |
http://math.stackexchange.com/questions/7729/lower-bound-for-probability-distribution-of-a-random-variable | # lower bound for probability distribution of a random variable
If $X$ is a random variable with finite mean $\mu$ and variance $\sigma^2$, how do I show that
$P[\mu − d\sigma < X < \mu + d\sigma] ≥ 1 − 1/d^2~~~~~~\forall d>1$
I found this in a book but unable to see the proof. Note that $X$ may not be normal.
-
$$P[\mu - d \sigma < X < \mu + d \sigma] \geq 1 - 1/d^2$$ is equivalent to $$P[|X - \mu| < d \sigma] \geq 1 - 1/d^2,$$ which is equivalent to $$P[|X - \mu| > d \sigma] \leq 1/d^2,$$ | 2013-12-20 03:57:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9382874965667725, "perplexity": 40.187652036852484}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2013-48/segments/1387345768998/warc/CC-MAIN-20131218054928-00010-ip-10-33-133-15.ec2.internal.warc.gz"} | 185 |
https://collegephysicsanswers.com/openstax-solutions/what-relative-humidity-250circtextrmc-day-when-air-contains-180-textrm-gm3-water | Question
What is the relative humidity on a $25.0^\circ\textrm{C}$ day when the air contains $18.0 \textrm{ g/m}^3$ of water vapor?
$78.3 \%$
Solution Video | 2019-04-19 20:15:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3564075231552124, "perplexity": 865.6782876902481}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-18/segments/1555578528058.3/warc/CC-MAIN-20190419201105-20190419223105-00156.warc.gz"} | 53 |
https://www.physicsforums.com/threads/triginometric-identities.90705/ | Triginometric Identities
1. Sep 25, 2005
brandon26
I have been trying to solve this question for some time but I just cannot find the right solution:
Simplify: 4cosec^2X + (4cosec^2X)(cot^2X)
2. Sep 25, 2005
Fermat
Take out the common factor.
3. Sep 25, 2005
arildno
As a follow up to Fermat's suggestion, show that:
$$1+cot^{2}(y)=\frac{1}{\sin^{2}y}$$ | 2019-01-19 10:19:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8388535380363464, "perplexity": 2485.65319792099}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-04/segments/1547583662893.38/warc/CC-MAIN-20190119095153-20190119121153-00189.warc.gz"} | 135 |
https://forum.worldwide-invest.org/Download/spread_on_chart.1372/ | The spread_on_chart indicator shows the following values on the chart:
• stop level (the minimal distance from the current price to Stop Loss and Take Profit);
• freeze level (the minimal distance for orders modifying).
Input parameters:
• Corner - chart corner for output. By default - upper left corner is used;
• XMargin, YMargin - horizontal and vertical margins;
• Font, Color, Size - font name, font color and font size.
Author | 2021-03-05 12:48:19 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.81927889585495, "perplexity": 9312.202286153928}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-10/segments/1614178372367.74/warc/CC-MAIN-20210305122143-20210305152143-00294.warc.gz"} | 91 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-10-section-10-1-adding-and-subtracting-polynomials-practice-page-700/5 | ## Prealgebra (7th Edition)
-3$y^{2}$-y+2
-(3$y^{2}$+y-2)=-3$y^{2}$-y+2 Use the distributive property to distribute the negative sign to all the terms inside the parenthesis. | 2018-07-18 01:42:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3615172803401947, "perplexity": 845.3914251432507}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-30/segments/1531676589980.6/warc/CC-MAIN-20180718002426-20180718022426-00389.warc.gz"} | 62 |
https://spee.ch/@DoctorDDub:2/the-gate-ep-30-the-forest-co-op-let-s | ## The Gate (Ep. 30) | The Forest (Co-op Let's Play)
Checking to see if Spee.ch has your asset locally...
The Gate (Ep. 30) | The Forest (Co-op Let's Play)
Taking a break from building the summer camp, I decided it would be fun to go caving with a few friends. I was right. This is the most fun I've had caving in a long time, and we found something cool too ;)
Music:
Outro: Part2 Productions - Aileron https://soundcloud.com/part2productions/aileron ... https://www.youtube.com/watch?v=UplCXG-rhVg | 2020-02-21 00:39:15 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8683883547782898, "perplexity": 7823.34689344619}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-10/segments/1581875145316.8/warc/CC-MAIN-20200220224059-20200221014059-00034.warc.gz"} | 140 |
https://www.gradesaver.com/textbooks/science/chemistry/introductory-chemistry-5th-edition/chapter-6-chemical-composition-exercises-questions-page-197/12 | ## Introductory Chemistry (5th Edition)
Mass % composition = Molar Mass of Element X $/$ Molar Mass of the Compound | 2018-07-23 06:17:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3280811011791229, "perplexity": 5419.38697471646}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-30/segments/1531676594954.59/warc/CC-MAIN-20180723051723-20180723071720-00042.warc.gz"} | 27 |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-mathematics-for-calculus-7th-edition/chapter-12-section-12-2-arithmetic-sequences-12-2-exercises-page-857/14 | ## Precalculus: Mathematics for Calculus, 7th Edition
$a_{n}$ = 14 + $\frac{-3}{2}$(n-1) = formula for nth term 10th term: .5
Use the formula $a_{n}$ = a + d(n-1) and plug in the given values to find a formula for the nth term. For the 10th term, plug in 10 for n and solve: $a_{10}$ = 14 + $\frac{-3}{2}$(10-1) = 14 + $\frac{-3}{2}$(9) = 14 -13.5 = .5 | 2018-06-23 01:08:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8529646992683411, "perplexity": 914.4867452613958}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-26/segments/1529267864848.47/warc/CC-MAIN-20180623000334-20180623020334-00173.warc.gz"} | 140 |
http://exxamm.com/blog/Blog/13627/zxcfghfgvbnm4?Class%2012 | Mathematics Determinants , Determinant of a matrix of order one, Determinant of a matrix of second one and Determinant of a matrix of third For CBSE-NCERT | 2019-02-22 22:39:12 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9645563960075378, "perplexity": 484.5466545912623}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-09/segments/1550249406966.99/warc/CC-MAIN-20190222220601-20190223002601-00394.warc.gz"} | 36 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-and-trigonometry-10th-edition/chapter-10-10-4-the-determinant-of-a-square-matrix-10-4-exercises-page-743/46 | ## Algebra and Trigonometry 10th Edition
$-5$
The determinant of a $2 \times 2$ matrix can be computed by using the formula $det =ps-qr$ where $det =\begin{vmatrix}p & q \\r & s\end{vmatrix}$ So, $\begin{vmatrix} 1& 0 &0 \\-4 & -1 & 0 \\ 5 &1 & 5\end{vmatrix}=1 \begin{vmatrix} -1 & 0 \\1 & 5\end{vmatrix}$ or, $=1[(-1)(5)-0]$ or, $=-5$ | 2020-02-27 08:55:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9945669174194336, "perplexity": 152.43371232286705}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-10/segments/1581875146665.7/warc/CC-MAIN-20200227063824-20200227093824-00340.warc.gz"} | 144 |
https://socratic.org/questions/an-irregularly-shaped-stone-was-lowered-into-a-graduated-cylinder-holding-a-volu | # An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2 mL. The height of the water rose to 7 mL. If the mass of the stone was 28 g, what was its density?
Density, $\rho$, is mass per unit volume. $\rho$ $\cong$ $5.5$ $g \cdot m {L}^{- 1}$
$\rho$ $=$ $\frac{28 \cdot g}{5 \cdot m L}$ =??g*mL^(-1) | 2019-11-21 03:54:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 9, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.2653275430202484, "perplexity": 594.5418173826366}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-47/segments/1573496670729.90/warc/CC-MAIN-20191121023525-20191121051525-00411.warc.gz"} | 114 |
https://proofwiki.org/wiki/Law_of_Identity/Formulation_2/Proof_2 | # Law of Identity/Formulation 2/Proof 2
## Theorem
$\vdash p \implies p$
## Proof
We apply the Method of Truth Tables to the proposition.
As can be seen by inspection, the truth value under the main connective is $T$ throughout.
$\begin{array}{|ccc|} \hline p & \implies & p \\ \hline F & T & F \\ T & T & T \\ \hline \end{array}$
$\blacksquare$ | 2019-09-22 12:34:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.5977075099945068, "perplexity": 850.7294173079706}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-39/segments/1568514575513.97/warc/CC-MAIN-20190922114839-20190922140839-00357.warc.gz"} | 110 |
https://brilliant.org/problems/german-tank-problem/ | # German Tank Problem
An airline has numbered their planes $1,2,\ldots,N,$ and you observe the following 3 planes, which are randomly sampled from the $N$ planes:
What is the maximum likelihood estimate for $N?$ In other words, what value of $N$ would, according to conditional probability, make your observation most likely?
× | 2022-07-05 22:06:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 4, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8444730043411255, "perplexity": 608.5398039679666}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656104628307.87/warc/CC-MAIN-20220705205356-20220705235356-00437.warc.gz"} | 74 |
https://www.usagrants.us/questions/758/revisions/ | # Revision history [back]
### Need money for down payment on home,but have no accounts
They're asking a downpayment of 3000 dollars.the home is for only 15000.all I need is the 3000.
2 No.2 Revision Holly 171 ●2 ●2
### Need money for down payment on home,but home, but have no accountsaccounts.
They're asking a downpayment of 3000 dollars.the $3,000 dollars. The home is for only 15000.all$15,000. All I need is the 3000.\$3,000. Need money for down payment on home, but have no accounts. | 2019-06-26 04:30:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.2755330204963684, "perplexity": 12477.55621014127}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-26/segments/1560628000164.31/warc/CC-MAIN-20190626033520-20190626055520-00372.warc.gz"} | 138 |
https://mathhelpforum.com/threads/general-solution.145810/ | # General Solution
#### jpquinn91
Can someone tell me which method you would use to find the general solution of:
dy/dx + (3x^2)y = 2x*exp(-x^3)
#### chisigma
MHF Hall of Honor
The DE is of the type...
$$\displaystyle y^{'} = a(x)\cdot y + b(x)$$ (1)
... and its general solution is...
$$\displaystyle y = e^{\int a(x)\cdot dx}\cdot \{\int b(x)\cdot e^{-\int a(x)\cdot dx} dx + c\}$$ (2)
Kind regards
$$\displaystyle \chi$$ $$\displaystyle \sigma$$ | 2019-11-21 05:36:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7311416268348694, "perplexity": 7124.390673481169}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-47/segments/1573496670731.88/warc/CC-MAIN-20191121050543-20191121074543-00340.warc.gz"} | 154 |
https://www.doubtnut.com/question-answer/fill-in-the-blanks-in-the-following-table-given-that-a-is-the-first-term-d-the-common-difference-and-642722915 | Home
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Fill in the blanks in the foll...
# Fill in the blanks in the following table , given that a is the first term , d the common difference and a_n the nth term of the AP : <br> {:(a,d,n,a_n),(-18.9,2.5,ul,3.6):}
Updated On: 27-06-2022
UPLOAD PHOTO AND GET THE ANSWER NOW!
Text Solution | 2022-11-27 18:21:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.1877928376197815, "perplexity": 1783.7835850352417}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-49/segments/1669446710417.25/warc/CC-MAIN-20221127173917-20221127203917-00195.warc.gz"} | 113 |
https://www.physicsforums.com/threads/please-help-with-intgeration-by-parts-in-calc-2.261796/ | 1. Oct 5, 2008
### X'S MOMMY
1. The problem statement, all variables and given/known data
INTEGRAL 1/ (X-1)(X+2) DX
2. Relevant equations
I LET U = X+2 DU=X
3. The attempt at a solution I GOT LN/(X+2)/+C I JUST DONT KNOW IF IM DOING IT RIGHT
2. Oct 5, 2008
### rocomath
Use partial fractions or find the formula for that integral.
$$\int\frac{dx}{(x+a)(x-b)}$$ | 2017-02-19 17:39:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4508651793003082, "perplexity": 3730.319052960778}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-09/segments/1487501170186.50/warc/CC-MAIN-20170219104610-00176-ip-10-171-10-108.ec2.internal.warc.gz"} | 133 |
https://byjus.com/question-answer/equivalent-weight-of-a-bivalent-metal-is-37-2-the-molecular-weight-of-its-chloride/ | Question
# Equivalent weight of a bivalent metal is $$37.2$$. The molecular weight of its chloride is
A
216.6
B
148.8
C
145.4
D
172.8
Solution
## The correct option is C 145.4 $$Equivalent \: weight \: of \: M^{2+} = 37.2$$$$Thus, \: molar \: mass \: of \: M^{2+} =37.2\times 2=74.4$$ (Mol. wt. $$=$$ Eq. wt./valency)$$Thus, \: molar \: mass \: of \: MCl_2=74.4 + 71 = 145.5$$Chemistry
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http://mathhelpforum.com/number-theory/98314-about-primes.html | Hi evebody,
Is there any proof of:
Let $P_1, P_2$ two different primes
Prove (or plz give me a link) that if
$
a=P_1^s-P_2^s
$
then
$
$
$
$
For every positive integer s
(/= means not equal)
Thank you a lot
2. $a\equiv-p_2^s\,(\bmod\,p_1)\not\equiv0\,(\bmod\,p_1)$ as $p_1$ does not divide $p_2.$
Similarly $a\equiv p_1^s\,(\bmod\,p_2)\not\equiv0\,(\bmod\,p_2)$ as $p_2$ does not divide $p_1.$
3. Indeed...
I missed the spot that
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https://mathshistory.st-andrews.ac.uk/OfTheDay/oftheday-03-24/ | ## Mathematicians Of The Day
### 24th March
Click on for a poster.
#### Quotation of the day
##### From Marston Morse
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http://www.cfd-online.com/Wiki/Rayleigh_number | Rayleigh number
$Ra = \frac{g \alpha \Gamma d^4}{\nu \kappa}$
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http://planetmath.org/SylowsThirdTheorem | # Sylow’s third theorem
Let $G$ be a finite group, and let $n$ be the number of Sylow $p$-subgroups of $G$. Then $n\equiv 1\pmod{p}$, and any two Sylow $p$-subgroups of $G$ are conjugate to one another.
Title Sylow’s third theorem SylowsThirdTheorem 2013-03-22 14:00:41 2013-03-22 14:00:41 bwebste (988) bwebste (988) 19 bwebste (988) Theorem msc 20D20 SylowTheorems ProofOfSylowTheorems SylowPSubgroup | 2018-03-21 08:48:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 7, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7285645008087158, "perplexity": 1659.2735525345483}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-13/segments/1521257647600.49/warc/CC-MAIN-20180321082653-20180321102653-00226.warc.gz"} | 163 |
https://xlor.cn/2019/11/2019nrrc/ | # 跃迁引擎启动
rank solved A B C D E F G H I J K L M
10 11 O O O Ø O . . O O O O O O
Solved by Henry.
Solved by XLor.
Solved by Henry.
# D
UpSolved by XLor.
# E
Solved by XLor.
$m$ 个关键点一起 $bfs$，每个点维护一下最短距离和多少个关键点能够以最短距离到达该点，转移时分从未访问过和最短距离相同，若出现一个点次数为关键点个数，即为答案。
# H
Solved by Forsaken.
Solved by Henry.
# J
Solved by Forsaken.
# K
Solved by Forsaken.
Solved by XLor.
Solved by XLor. | 2023-03-26 06:22:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8880695104598999, "perplexity": 14862.920008914287}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296945433.92/warc/CC-MAIN-20230326044821-20230326074821-00113.warc.gz"} | 223 |
https://docs.tigergraph.com/gsql-ref/current/ddl-and-loading/functions/token/gsql_current_time_epoch | # gsql_current_time_epoch()
Returns the current time in Unix epoch seconds.
## Syntax
`gsql_current_time_epoch(0)`
## Parameters
The function takes one `INT` parameter. This parameter is actually ignored, but by convention, set its value to 0.
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Version:
Compute specific forms of elliptic integrals or Weber functions.
Determines the Jacobian elliptic function.
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Level pending
There are 7 students in a class. The teacher is going to choose 5 of them to run a lap.
How many ways can the teacher choose?
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http://www.ams.org/mathscinet-getitem?mr=MR2595835 | MathSciNet bibliographic data MR2595835 54A40 (46S40 47H10 54H25) Shakeri, S.; Ćirić, L. J. B.; Saadati, R. Common fixed point theorem in partially ordered \$\scr L\$$\scr L$-fuzzy metric spaces. Fixed Point Theory Appl. 2010, Art. ID 125082, 13 pp. Journal
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http://japanese.stackexchange.com/questions/14527/difference-between-%E6%96%B9%E6%B3%95-and-%E6%89%8B%E6%AE%B5 | # Difference between 方法 and 手段
I was brushing up on some basic vocabulary. Asked what the Japanese equivalent of "the means (of doing something)", I would use 方法. However, they've used 手段. As far as I can tell, these are (fairly) synonymous. Is there a difference? Are there places/phrases where you would use one but not the other?
-
@TokyoNagoya Ok, thanks for the information. I don't suppose you could expand on that a bit more though? – Yuushi Feb 18 '14 at 6:22 | 2015-01-27 14:26:25 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8251476883888245, "perplexity": 1566.9614453460053}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-06/segments/1422121981339.16/warc/CC-MAIN-20150124175301-00059-ip-10-180-212-252.ec2.internal.warc.gz"} | 123 |
https://www.studyadda.com/sample-papers/neet-sample-test-paper-50_q49/431/331677 | • # question_answer 49) A schematic plot of $\ell n\,\,{{K}_{eq}}$ versus inverse of temperature of a reaction is shown below The reaction must be- A) One with negligible enthalpy changeB) Highly spontaneous at ordinary temperatureC) Exothermic D) Endothermic
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https://www.ima.umn.edu/preprints/Regular-inversion-divergence-operator-Dirichlet-boundary-conditions-polygon | Campuses:
# Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon
Author:
Douglas N. Arnold, L. Ridgway Scott, and Michael Vogelius
April
1987
Document:
Number:
302 | 2021-10-25 05:08:08 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9653325080871582, "perplexity": 4291.364547767312}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-43/segments/1634323587623.1/warc/CC-MAIN-20211025030510-20211025060510-00363.warc.gz"} | 51 |
https://proofwiki.org/wiki/Book:H._Davenport/The_Higher_Arithmetic | Book:H. Davenport/The Higher Arithmetic
H. Davenport: The Higher Arithmetic: An Introduction to the Theory of Numbers
Published $\text {1952}$. | 2021-04-12 01:49:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6443242430686951, "perplexity": 5268.677574469746}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-17/segments/1618038065903.7/warc/CC-MAIN-20210411233715-20210412023715-00046.warc.gz"} | 34 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-a-combined-approach-4th-edition/chapter-3-section-3-1-reading-graphs-and-the-rectangular-coordinate-system-exercise-set-page-203/70 | ## Algebra: A Combined Approach (4th Edition)
If x=2 and y=$\frac{2}{3}$, the equation is not true, therefore it is not a solution. | 2018-07-16 01:18:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.19493505358695984, "perplexity": 1411.9364523445602}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-30/segments/1531676589029.26/warc/CC-MAIN-20180716002413-20180716022413-00161.warc.gz"} | 39 |
https://www.gradesaver.com/textbooks/math/trigonometry/trigonometry-10th-edition/chapter-1-test-page-44/10a | ## Trigonometry (10th Edition)
Published by Pearson
# Chapter 1 - Test - Page 44: 10a
#### Answer
$30^{\circ}$
#### Work Step by Step
1. Subtract 360 degrees to find coterminal angle $390^{\circ}-360^{\circ}=30^{\circ}$
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback. | 2018-10-23 20:27:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7000578045845032, "perplexity": 4788.917788354513}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-43/segments/1539583517376.96/warc/CC-MAIN-20181023195531-20181023221031-00449.warc.gz"} | 106 |
https://web2.0calc.com/questions/please-help_50720 | +0
0
46
1
What is the radius of the circle inscribed in triangle $ABC$ if $AB = 15,$ $AC = 41,$ and $BC = 52$?
Feb 26, 2021
#1
+939
+1
A = rs
semiperimeter = s = (15 + 41 + 52)/2 = 54
area = A = $$\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{(54)(2)(39)(13)} = 234$$
radius = r = $$\frac{A}{s} = \frac{234}{54} = \frac{13}{3}$$
Feb 26, 2021 | 2021-04-13 00:33:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.46065977215766907, "perplexity": 805.5438948360111}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-17/segments/1618038071212.27/warc/CC-MAIN-20210413000853-20210413030853-00262.warc.gz"} | 158 |
https://brilliant.org/problems/some-sum-2/ | # Some sum
Discrete Mathematics Level 4
$\large\sum_{n=0}^\infty \dfrac{\dbinom{4n}{2n}}{25^n}$
If the above sum can be expressed in the form $$\sqrt{\dfrac{a}{b}}$$ with $$a$$ and $$b$$ coprime positive integers, find $$a+b$$.
× | 2016-10-26 11:18:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9000276327133179, "perplexity": 340.7387844927791}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-44/segments/1476988720941.32/warc/CC-MAIN-20161020183840-00368-ip-10-171-6-4.ec2.internal.warc.gz"} | 85 |
http://pseudomonad.blogspot.com/2011/01/theory-update-39.html | ## Tuesday, January 25, 2011
### Theory Update 39
Now we could use a Fun representation of braids, as discussed in this paper, where the Fourier type transform uses both ordinary matrix multiplication and a permutation transformation $P$ to recover the Z boson diagonal.
This takes a flat neutrino diagram in $B_3$ and creates twists in copies of $B_2$. As we have seen, quarks and charged leptons (in $B_6$ perhaps) are also needed to define the transform. | 2017-03-23 22:11:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9046034812927246, "perplexity": 931.0157428084027}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-13/segments/1490218187225.79/warc/CC-MAIN-20170322212947-00298-ip-10-233-31-227.ec2.internal.warc.gz"} | 111 |
https://www.physicsforums.com/threads/material-properties-resulting-from-hexagonal-structure.882755/ | Material properties resulting from hexagonal structure
1. Aug 22, 2016
HCD
What are some properties of materials that are related to the fact that the crystal structure of said material is the hexagonal close-packed structure?
2. Aug 27, 2016 | 2018-02-19 10:40:11 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.868127167224884, "perplexity": 1000.5316785078841}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-09/segments/1518891812579.21/warc/CC-MAIN-20180219091902-20180219111902-00470.warc.gz"} | 57 |
https://or.stackexchange.com/tags/benders-decomposition/hot?filter=week | # Tag Info
As far as I can see you have binary variables in the first stage and general integer variables in the second stage. This means that classical Benders cuts (based on duality of the subproblems) do not ensure convergence. Conversely, convergence is ensured by combinatorial cuts generated as follows. Let $Q(y)$ be the recourse function -- the expected second-... | 2021-12-07 21:21:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7528955340385437, "perplexity": 389.90144449945456}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964363418.83/warc/CC-MAIN-20211207201422-20211207231422-00631.warc.gz"} | 78 |
https://encyclopediaofmath.org/index.php?title=Virtually-asymptotic_net&oldid=49152 | # Virtually-asymptotic net
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
A net (in differential geometry) on a surface $V _ {2}$ in Euclidean space which, on being deformed somewhat ( $f: V _ {2} \rightarrow V _ {2} ^ {*}$), becomes an asymptotic net of the surface $V _ {2} ^ {*}$. A Voss surface is distinguished by the presence of a conjugate virtually-asymptotic net. | 2021-10-23 07:37:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8788889050483704, "perplexity": 5913.993201545873}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-43/segments/1634323585653.49/warc/CC-MAIN-20211023064718-20211023094718-00518.warc.gz"} | 112 |
https://ask.wireshark.org/answers/17083/revisions/ | If on the other hand you only want one capture file that ends when a certain condition is met, that can be set up under Capture->Options...->Options. | 2022-05-19 22:55:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8049553036689758, "perplexity": 382.4952527113084}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662530066.45/warc/CC-MAIN-20220519204127-20220519234127-00473.warc.gz"} | 33 |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-7th-edition/chapter-8-sequences-and-series-section-8-1-sequences-and-summation-notation-8-1-exercises-page-601/68 | ## College Algebra 7th Edition
$\sum_{k=1}^{10}(3k-1)$
We write the sum in sigma notation: (We notice that the terms are multiples of $3$ minus $1$.) $2+5+8+...+29=\sum_{k=1}^{10}(3k-1)$ | 2019-11-12 14:32:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9899823665618896, "perplexity": 1303.736803443826}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-47/segments/1573496665573.50/warc/CC-MAIN-20191112124615-20191112152615-00107.warc.gz"} | 74 |
https://brilliant.org/problems/0s/ | # 100!
Number Theory Level 3
Calculate the number of trailing zeroes in the following: (100!)(100!)(100!)(100!)(100!)...........................(100!) where there are 13!/30030 (100!)'s.
× | 2016-10-27 18:53:09 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8989318013191223, "perplexity": 6135.078349099148}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-44/segments/1476988721387.11/warc/CC-MAIN-20161020183841-00327-ip-10-171-6-4.ec2.internal.warc.gz"} | 54 |
https://www.uzdevumi.lv/p/anglu-valoda/10-12-klase/ing-and-the-infinitive-12711/re-575cb546-89b4-4f22-a416-9f097a68b2e3 | Uzdevums:
3p.
Read the sentences and write them in another way using the given words. Don't forget about full stops in the sentences.
Example 0.
It’s easy to understand him. | 2019-09-19 11:34:13 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8070098757743835, "perplexity": 1439.320934323739}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-39/segments/1568514573476.67/warc/CC-MAIN-20190919101533-20190919123533-00011.warc.gz"} | 43 |
http://math.stackexchange.com/questions/319780/are-there-infinitely-many-sets-of-triples-x-x1-x2-that-are-square-free | # Are there infinitely many sets of triples $\{ x,x+1,x+2\}$ that are square free?
I suppose there are a series of such questions, depending on the length of the set, staring with pairs, and the power that is supposed to be missing from the divisors.
Here is a problem insisting on the opposite; that the numbers should all have a certain power as divisor.
- | 2014-09-19 18:06:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9109538197517395, "perplexity": 257.2108749001249}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2014-41/segments/1410657131846.69/warc/CC-MAIN-20140914011211-00010-ip-10-196-40-205.us-west-1.compute.internal.warc.gz"} | 82 |
https://prefix.zazuko.com/quantitykind:Emissivity | # Resolve RDF Terms
quantitykind:Emissivity
http://qudt.org/vocab/quantitykind/Emissivity
### Recommended prefix
quantitykind:
lang:en
Emissivity
lang:""
Emissivity of a material (usually written $$\varepsilon$$ or e) is the relative ability of its surface to emit energy by radiation.
lang:""
$$\varepsilon = \frac{M}{M_b}$$, where $$M$$ is the radiant exitance of a thermal radiator and $$M_b$$ is the radiant exitance of a blackbody at the same temperature.
lang:""
$$\varepsilon$$ | 2022-08-19 02:55:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8320353627204895, "perplexity": 1582.0140715327552}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-33/segments/1659882573540.20/warc/CC-MAIN-20220819005802-20220819035802-00241.warc.gz"} | 134 |
https://forum.azimuthproject.org/plugin/ViewComment/18414 | > ah I get it – there's no canonical way of defining a product of Maybes. you have choose one (First or Last).
It's a little trickier than that, sadly.
For instance, while `Maybe a` is not necessarily a monoid, `Maybe [a]` *is*.
Feel free to check in the interpreter, but we have:
\$\$
(\textsf{Just}\; a) <> (\textsf{Just}\; b) \cong \textsf{Just}\; (a ++ b)
\$\$
So we have that `Just :: [a] -> Maybe [a]` is a semigroup homorphism... | 2021-05-14 16:30:16 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9380846619606018, "perplexity": 2806.189953251981}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-21/segments/1620243991428.43/warc/CC-MAIN-20210514152803-20210514182803-00462.warc.gz"} | 139 |
https://socratic.org/questions/how-do-you-rewrite-the-expression-as-a-single-logarithm-and-simplify-lnabs-cosx- | # How do you rewrite the expression as a single logarithm and simplify lnabs(cosx)-lnabssinx?
Mar 2, 2017
$\ln | \cot x |$
#### Explanation:
We have by the rule $\ln a - \ln b = \ln \left(\frac{a}{b}\right)$:
$= \ln | \cos \frac{x}{\sin} x |$
By the identity $\cot x = \frac{1}{\tan} x = \frac{1}{\sin \frac{x}{\cos} x} = \cos \frac{x}{\sin} x$:
$= \ln | \cot x |$
Hopefully this helps! | 2019-01-19 08:33:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9837204217910767, "perplexity": 1651.3054277416798}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-04/segments/1547583662863.53/warc/CC-MAIN-20190119074836-20190119100836-00271.warc.gz"} | 147 |
https://socratic.org/questions/what-is-the-neutral-particle-formed-when-atoms-share-electrons | # What is the neutral particle formed when atoms share electrons?
Jan 7, 2017
$\text{A molecule..............}$
#### Explanation:
Ions results from the transfer of electrons between atoms. Molecules result from the SHARING of electrons between atoms. Two electrons can form a covalent bond, a region of high electron density between 2 positively charged atomic nuclei such that electrostatic repulsion (between the nuclei) is negated, and a net attractive force results. | 2021-06-25 01:54:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 1, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.43625614047050476, "perplexity": 1043.3906412468314}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-25/segments/1623488560777.97/warc/CC-MAIN-20210624233218-20210625023218-00471.warc.gz"} | 100 |
http://mathhelpforum.com/calculus/209250-rewriting-before-integrating.html | # Math Help - Rewriting Before Integrating
1. ## Rewriting Before Integrating
why did the 2 changed into a 3 for the last step after simplifying?
2. ## Re: Rewriting Before Integrating
$\frac{2}{3}$ was factored out, so $\frac{2}{\frac{2}{3}}=2\cdot\frac{3}{2}=3$
Notice that $\frac{2}{3}\cdot3=2$ if you were to distribute as a check. | 2014-04-20 00:29:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9197134971618652, "perplexity": 3073.5948730755786}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2014-15/segments/1397609537754.12/warc/CC-MAIN-20140416005217-00482-ip-10-147-4-33.ec2.internal.warc.gz"} | 109 |
https://math.stackexchange.com/questions/638139/bound-on-the-difference-of-two-convergent-infinite-products | # Bound on the difference of two convergent infinite products
Let $(\alpha_n)$ and $(\beta_n)$ be two sequences of non-zero complex numbers such that the products $\prod_n \alpha_n$ and $\prod_n \beta_n$ are convergent. How to prove the following inequality? $$\left|\prod_{n\geq 1} \alpha_n - \prod_{n\geq 1}\beta_n\right|\leq\left(\prod_{n\geq 1}\max(|\alpha_n|,|\beta_n|)\right)\sum_{n\geq 1}\frac{|\alpha_n-\beta_n|}{\max(|\alpha_n|,|\beta_n|)}.$$ | 2019-07-18 10:52:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.842120349407196, "perplexity": 57.6090388362389}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-30/segments/1563195525627.38/warc/CC-MAIN-20190718104512-20190718130512-00205.warc.gz"} | 155 |
http://www.chegg.com/homework-help/questions-and-answers/218-c-kc-12-10-4-equilibrium-nh4sh-s-equilibrium-reaction-arrow-nh3-g-h2s-g--calculate-equ-q2694759 | At 218�C, Kc = 1.2 10-4 for the equilibrium
NH4SH(s) equilibrium reaction arrow NH3(g) + H2S(g).
Calculate the equilibrium concentration of NH3 and H2S if a sample of solid NH4SH is placed in a closed vessel at 218�C and decomposes until equilibrium is reached. | 2016-05-30 01:51:14 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.925144612789154, "perplexity": 4849.219598718859}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-22/segments/1464049282327.67/warc/CC-MAIN-20160524002122-00232-ip-10-185-217-139.ec2.internal.warc.gz"} | 77 |