url stringlengths 6 1.66k | fetch_time int64 1,368,859,978B 1,726,892,758B | content_mime_type stringclasses 3
values | warc_filename stringlengths 108 138 | warc_record_offset int32 24.2k 1.74B | warc_record_length int32 737 780k | text stringlengths 66 963k | token_count int32 32 446k | char_count int32 66 963k | metadata stringlengths 439 443 | score float64 3.5 5.13 | int_score int64 4 5 | crawl stringclasses 93
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https://mathonweb.com/help_ebook/html/graphs_3.htm | 1,643,100,793,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320304798.1/warc/CC-MAIN-20220125070039-20220125100039-00320.warc.gz | 425,272,692 | 4,962 | ### 6.3 - Other types of graphs
Literally dozens of different types of graphs (or charts or plots) have been invented. We will describe the three types that the Algebra Coach uses. We will assume that the variables of interest are called x and y and that we want to plot the graphs on the cartesian plane.
### Graphs o... | 1,794 | 7,461 | {"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, "ma... | 4.78125 | 5 | CC-MAIN-2022-05 | latest | en | 0.912803 |
http://mathhelpforum.com/algebra/1670-too-thick-solve-problem-print.html | 1,502,927,903,000,000,000 | text/html | crawl-data/CC-MAIN-2017-34/segments/1502886102757.45/warc/CC-MAIN-20170816231829-20170817011829-00644.warc.gz | 274,566,260 | 3,425 | # Too thick to solve this problem!!!!
• Jan 19th 2006, 12:24 PM
bonbhoy
Too thick to solve this problem!!!!
A housewife buys a certain amount of beef at £4 per kilo and the same amount of sausages at £3 per kilo. If she had split the money she spent equally between the beef and sausages she would have got 2 kilos more... | 693 | 2,268 | {"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": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.25 | 4 | CC-MAIN-2017-34 | longest | en | 0.967733 |
https://help.arcgis.com/en/arcgisdesktop/10.0/help/0014/001400000016000000.htm | 1,696,004,011,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510520.98/warc/CC-MAIN-20230929154432-20230929184432-00031.warc.gz | 319,171,950 | 5,297 | # Coverage topology
This topic applies to ArcEditor and ArcInfo only.
When you stand on a hill and look down on a landscape, you can easily identify intersecting streets and adjacent properties. The mathematical logic a computer uses to identify these relationships is topology.
Topology explicitly defines spatial re... | 1,181 | 6,001 | {"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, "ma... | 3.921875 | 4 | CC-MAIN-2023-40 | latest | en | 0.919127 |
http://gmatclub.com/forum/the-operation-is-defined-for-all-integers-a-and-b-by-the-162119.html?sort_by_oldest=true | 1,485,294,809,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560285289.45/warc/CC-MAIN-20170116095125-00041-ip-10-171-10-70.ec2.internal.warc.gz | 115,272,762 | 59,670 | The operation & is defined for all integers a and b by the : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 24 Jan 2017, 13:53
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimat... | 1,351 | 4,142 | {"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, "ma... | 3.890625 | 4 | CC-MAIN-2017-04 | latest | en | 0.84606 |
https://www.hackmath.net/en/examples/9th-grade-(14y)?page_num=63 | 1,563,563,860,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195526337.45/warc/CC-MAIN-20190719182214-20190719204214-00170.warc.gz | 734,356,223 | 7,928 | Examples for 9th grade - page 63
1. Sebastian
From Kovalov Sebastian walks at 6 km / h started at 8:00 in the direction of Kuty. From Kuty, the godfather is driving at 50 km/h and started at 8:30. The distance is 24 km. When and where grandfather will take Sebastian to the car.
2. The farmer
The farmer would like to f... | 957 | 3,741 | {"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, "ma... | 3.734375 | 4 | CC-MAIN-2019-30 | latest | en | 0.941657 |
https://socratic.org/questions/how-do-you-add-frac-7-x-2-frac-4-x-3#483406 | 1,716,365,460,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971058534.8/warc/CC-MAIN-20240522070747-20240522100747-00543.warc.gz | 472,252,070 | 5,906 | # How do you add \frac { 7} { x + 2} + \frac { - 4} { x - 3}?
Oct 2, 2017
$= \frac{3 x - 29}{\left(x + 2\right) \left(x - 3\right)}$
#### Explanation:
Find the least common denominator which is $\left(x + 2\right) \left(x - 3\right)$
Next, we manipulate each fraction
$\frac{7 \textcolor{red}{\left(x - 3\right)}}{... | 604 | 1,329 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 14, "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, "ma... | 4.71875 | 5 | CC-MAIN-2024-22 | latest | en | 0.32769 |
https://math.answers.com/Q/How_you_turn_a_percent_to_a_decimal | 1,696,127,549,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510734.55/warc/CC-MAIN-20231001005750-20231001035750-00611.warc.gz | 419,001,523 | 43,843 | 0
# How you turn a percent to a decimal?
Updated: 9/18/2023
Wiki User
12y ago
To convert a percent to a decimal, express the percent as a decimal then move the decimal point to the left two places:
1. 80.5% = 0.805
Wiki User
12y ago
Earn +20 pts
Q: How you turn a percent to a decimal?
Submit
Still have questio... | 562 | 2,088 | {"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, "ma... | 4.28125 | 4 | CC-MAIN-2023-40 | latest | en | 0.845668 |
https://www.gradesaver.com/textbooks/math/calculus/thomas-calculus-13th-edition/chapter-14-partial-derivatives-section-14-2-limits-and-continuity-in-higher-dimensions-exercises-14-2-page-796/43 | 1,679,971,570,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296948756.99/warc/CC-MAIN-20230328011555-20230328041555-00304.warc.gz | 901,751,521 | 13,937 | ## Thomas' Calculus 13th Edition
Consider a approach : $(x,y) \to (0,0)$ along $y=kx^2$ Then, we get $\lim\limits_{x \to 0}\dfrac{x^4-(kx)^2}{x^4+(kx)^2}=\lim\limits_{x \to 0}\dfrac{1-k^2}{1+k^2}$ or, $\lim\limits_{x \to 0}\dfrac{1-k^2}{1+k^2}=\dfrac{1-k^2}{1+k^2}$ This shows that there are multiple limit values, thus... | 183 | 417 | {"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, "mat... | 3.78125 | 4 | CC-MAIN-2023-14 | latest | en | 0.533067 |
https://www.physicsforums.com/threads/calculating-arc-length-and-area-of-cylinder-side.943456/ | 1,718,574,633,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861671.61/warc/CC-MAIN-20240616203247-20240616233247-00676.warc.gz | 849,602,119 | 16,427 | Calculating Arc Length and Area of Cylinder Side
• help
In summary, the conversation discusses a cylinder with a given radius and a specific portion of the cylinder. The length of an arc and a line segment are expressed in terms of the radius and angle, and the area of a side of the cylinder is calculated and expresse... | 769 | 2,923 | {"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, "ma... | 3.984375 | 4 | CC-MAIN-2024-26 | latest | en | 0.87192 |
https://shopverjus.com/checker-219 | 1,674,866,807,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764499468.22/warc/CC-MAIN-20230127231443-20230128021443-00225.warc.gz | 536,135,474 | 4,438 | # How to solve an exponential equation
In addition, there are also many books that can help you How to solve an exponential equation. So let's get started!
## How can we solve an exponential equation
The solver will provide step-by-step instructions on How to solve an exponential equation. An equation solver app can... | 657 | 3,214 | {"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, "ma... | 3.65625 | 4 | CC-MAIN-2023-06 | latest | en | 0.936842 |
http://www2.maths.ox.ac.uk/chebfun/examples/approx/html/DivergentSeries.shtml | 1,427,677,349,000,000,000 | text/html | crawl-data/CC-MAIN-2015-14/segments/1427131298871.15/warc/CC-MAIN-20150323172138-00267-ip-10-168-14-71.ec2.internal.warc.gz | 957,629,768 | 5,789 | # Summing a divergent Series
Nick Trefethen and Stefan Güttel, 23rd April 2012
(Chebfun example approx/DivergentSeries.m)
The function $$f(x) = \int_0^{\infty} {e^{-t} \over 1 + xt} dt$$ is an easy one for Chebfun to evaluate. For example, the value at $x=1$ is
format long
sum(chebfun(@(t) exp(-t)./(1+t),[0 inf]))
... | 791 | 2,346 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.515625 | 4 | CC-MAIN-2015-14 | latest | en | 0.834259 |
https://artofproblemsolving.com/wiki/index.php?title=2010_AIME_I_Problems/Problem_15&oldid=129685 | 1,606,406,929,000,000,000 | text/html | crawl-data/CC-MAIN-2020-50/segments/1606141188800.15/warc/CC-MAIN-20201126142720-20201126172720-00018.warc.gz | 205,437,402 | 21,429 | # 2010 AIME I Problems/Problem 15
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
In $\triangle{ABC}$ with $AB = 12$, $BC = 13$, and $AC = 15$, let $M$ be a point on $\overline{AC}$ such that the incircles of $\triangle{ABM}$ and $\triangle{BCM}$ have equal radii. Then $\frac{AM... | 4,174 | 9,829 | {"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": 182, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "m... | 4.4375 | 4 | CC-MAIN-2020-50 | longest | en | 0.470506 |
http://www.weegy.com/?ConversationId=34A3BFBF | 1,466,856,900,000,000,000 | text/html | crawl-data/CC-MAIN-2016-26/segments/1466783393146.70/warc/CC-MAIN-20160624154953-00186-ip-10-164-35-72.ec2.internal.warc.gz | 966,096,299 | 9,661 | Two charges, Q1 and Q2, are separated by a certain distance R. If the magnitudes of the charges are doubled and their separation is also doubled, then what happens to the electrical force between
these two charges? A) It is quadrupled B) It is halved C) It is doubled D) It remains the same
C) It is doubled
Original con... | 1,439 | 5,239 | {"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, "ma... | 4 | 4 | CC-MAIN-2016-26 | longest | en | 0.949583 |
https://discuss.codechef.com/t/lcm3gcd2-editorial/105739 | 1,685,897,346,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224650201.19/warc/CC-MAIN-20230604161111-20230604191111-00047.warc.gz | 266,948,832 | 11,131 | # LCM3GCD2 - Editorial
Author: deep2905
Tester: abhidot
Editorialist: iceknight1093
3034
# PREREQUISITES:
Familiarity with GCD and LCM
# PROBLEM:
There is a hidden array A of length N. Find it using upto 3N queries of the following types:
• Given i and j, you will receive \gcd(A_i, A_j)
• Given i, j, k, you will... | 5,544 | 16,081 | {"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, "mat... | 3.96875 | 4 | CC-MAIN-2023-23 | latest | en | 0.898995 |
https://www.jiskha.com/display.cgi?id=1453297539 | 1,526,859,012,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794863811.3/warc/CC-MAIN-20180520224904-20180521004904-00099.warc.gz | 781,032,554 | 3,826 | # Math
posted by Patrice
Jacky and Rudy had the same number of stickers. After receiving 72 stickers from Rudy, Jacky had 3x as many stickers as her. How many stickers did they have altogether?
1. Steve
They each started out with x. So, together they had 2x stickers.
x+72 = 3(x-72)
x+72 = 3x-216
2x = 288
2. Gray
... | 650 | 2,534 | {"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, "ma... | 4.0625 | 4 | CC-MAIN-2018-22 | latest | en | 0.979994 |
https://homework.cpm.org/category/CC/textbook/cc2/chapter/7/lesson/7.1.5/problem/7-62 | 1,582,064,875,000,000,000 | text/html | crawl-data/CC-MAIN-2020-10/segments/1581875143815.23/warc/CC-MAIN-20200218210853-20200219000853-00284.warc.gz | 421,484,795 | 16,027 | ### Home > CC2 > Chapter 7 > Lesson 7.1.5 > Problem7-62
7-62.
Simplify each expression. Homework Help ✎
1. $3.3(x+4)$
Use the Distributive Property.
$3.3(x)+3.3(4)$
Simplify.
$3.3x+13.2$
1. $9-5\frac{1}{2}x-3(-2x+1)$
Remember to follow the Order of Operations.
$\frac{1}{2}\textit{x} + 6$
1. $2.2(3.1+x)+3x$
... | 155 | 374 | {"found_math": true, "script_math_tex": 6, "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, "mat... | 3.921875 | 4 | CC-MAIN-2020-10 | longest | en | 0.541741 |
https://www.coursehero.com/file/5862615/Estimation/ | 1,498,359,196,000,000,000 | text/html | crawl-data/CC-MAIN-2017-26/segments/1498128320386.71/warc/CC-MAIN-20170625013851-20170625033851-00429.warc.gz | 850,533,859 | 177,441 | Estimation - Estimation Sample Proportions and Point...
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Estimation
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Sample Proportions and Point Estimation Sample Proportions Let p be the proportion ... | 735 | 3,574 | {"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, "ma... | 4.46875 | 4 | CC-MAIN-2017-26 | longest | en | 0.88206 |
http://web.cs.wpi.edu/~cs2223/d08/HW/HW5/ | 1,669,549,933,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710237.57/warc/CC-MAIN-20221127105736-20221127135736-00108.warc.gz | 61,819,857 | 3,322 | ### CS2223 Algorithms Homework 5 - D Term 2008
#### PROF. CAROLINA RUIZ
Due Date: April 18, 2008 at 1:00 PM
See course policy regarding late homework submissions
• Homework Instructions:
• Read Chapter 5 of the textbook in detail.
• See Useful logarithm and exponential facts.
• This is an individual homework. No col... | 1,317 | 5,040 | {"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, "ma... | 3.953125 | 4 | CC-MAIN-2022-49 | latest | en | 0.859365 |
https://cracku.in/xat-linear-equations-questions | 1,719,006,545,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198862157.88/warc/CC-MAIN-20240621191840-20240621221840-00344.warc.gz | 156,625,955 | 25,718 | # XAT Linear Equations questions
## XAT 2024 Linear Equations questions
#### Question 1
Consider the system of two linear equations as follows: $$3x + 21y + p = 0$$; and $$qx + ry - 7 = 0$$, where p, q, and r are real numbers.
Which of the following statements DEFINITELY CONTRADICTS the fact that the lines represent... | 945 | 3,751 | {"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, "mat... | 3.578125 | 4 | CC-MAIN-2024-26 | latest | en | 0.952054 |
https://gre.magoosh.com/lessons/71-backsolving?study_item=1110?utm_source=greblog&utm_medium=blog&utm_campaign=90daybeginners&utm_term=inline | 1,725,721,610,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700650883.10/warc/CC-MAIN-20240907131200-20240907161200-00852.warc.gz | 268,475,152 | 17,959 | Home>Backsolving
Lesson by Mike McGarry
Magoosh Expert
Summary
The content provides an in-depth exploration of alternative strategies for solving word problems on the GRE, with a focus on backsolving.
• Backsolving involves starting with one of the numerical answers and working backwards to see if it makes sense.
• A ... | 794 | 3,125 | {"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, "ma... | 4.71875 | 5 | CC-MAIN-2024-38 | latest | en | 0.934055 |
https://id.scribd.com/document/207404803/Finite-Elements | 1,569,052,166,000,000,000 | text/html | crawl-data/CC-MAIN-2019-39/segments/1568514574286.12/warc/CC-MAIN-20190921063658-20190921085658-00366.warc.gz | 530,685,194 | 77,638 | Anda di halaman 1dari 8
# GEBZE INSTITUTE OF HIGH TECHNOLOGY
## DYB_501 FINITE ELEMENTS AND SOFTWARE APPLICATIONS
PREFACE This web site is intended for graduate students who takes finite elements and software
G
1) Discrete Methods 2) Continuous Problem
YT U
other hand you could use shortcuts buttons above for easy... | 1,207 | 4,445 | {"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, "ma... | 4.21875 | 4 | CC-MAIN-2019-39 | latest | en | 0.803595 |
https://www.jiskha.com/display.cgi?id=1366508545 | 1,516,313,749,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084887621.26/warc/CC-MAIN-20180118210638-20180118230638-00498.warc.gz | 916,344,034 | 4,083 | # Calculus
posted by .
Consider the function f(x)=xe^2x. Find the intervals on which f(x) is concave up and the intervals where it is concave down. Show a sign graph.
Please show work in detail so I can follow for future reference. Thanks!
• Calculus -
The curve is concave up if f '' (x) is positive and
concave do... | 955 | 2,949 | {"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, "ma... | 3.890625 | 4 | CC-MAIN-2018-05 | latest | en | 0.775515 |
https://www.wazeesupperclub.com/what-is-the-reflection-over-the-y-axis/ | 1,653,260,636,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662550298.31/warc/CC-MAIN-20220522220714-20220523010714-00547.warc.gz | 1,240,565,825 | 10,528 | # What is the reflection over the y-axis?
## What is the reflection over the y-axis?
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.
## What is the matrix for mirror reflection?
The matrix for the flat mirror is the identity ma... | 467 | 2,164 | {"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, "ma... | 4.5 | 4 | CC-MAIN-2022-21 | latest | en | 0.883647 |
https://www.crazy-numbers.com/en/15056 | 1,709,326,274,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947475701.61/warc/CC-MAIN-20240301193300-20240301223300-00320.warc.gz | 707,988,143 | 6,328 | Discover a lot of information on the number 15056: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
## Mathematical properties of 15056
Is 15056 a prime number? No
Is 15056 a perfect number? No
Number of divisors 10
List of dividers 1, 2, ... | 792 | 2,492 | {"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, "ma... | 3.625 | 4 | CC-MAIN-2024-10 | latest | en | 0.706783 |
https://www.themagiccafe.com/forums/printtopic.php?topic=677946&forum=101 | 1,600,881,428,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600400211096.40/warc/CC-MAIN-20200923144247-20200923174247-00693.warc.gz | 1,080,186,423 | 2,129 | Topic: A strange probabilistic question
Message: Posted by: ipe (Nov 2, 2018 05:51AM)
If you choose an answer to this question at random, what is the probability that you will be correct?
A) 25%
B) 50%
C) 0%
D) 25%
:bg:
Message: Posted by: landmark (Nov 3, 2018 01:09PM)
"this question " is ill-defined.
Message: Po... | 551 | 1,934 | {"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, "ma... | 3.71875 | 4 | CC-MAIN-2020-40 | latest | en | 0.944023 |
http://mathhelpforum.com/calculus/64216-calculus-concavity.html | 1,481,133,794,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698542217.43/warc/CC-MAIN-20161202170902-00224-ip-10-31-129-80.ec2.internal.warc.gz | 176,863,600 | 9,605 | 1. ## Calculus : Concavity
the problem is y = 2 + 3x - X^3 and i'm supposed to find out for values of X is it concave down.
when I take the double derivative it comes out to y" = -6x. I set that equal to zero and y" = 0. How do I find out which values of X are concave down? I know the answer is X > 0 but i'm trying t... | 135 | 416 | {"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": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.65625 | 4 | CC-MAIN-2016-50 | longest | en | 0.919374 |
https://socratic.org/questions/how-do-you-evaluate-sqrt-x-2-x-4-x-2-0 | 1,580,251,850,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579251783342.96/warc/CC-MAIN-20200128215526-20200129005526-00521.warc.gz | 617,928,502 | 6,594 | # How do you solve \sqrt { ( x - 2) ( x + 4) } - x - 2= 0?
May 24, 2018
No solutions
#### Explanation:
writing $\sqrt{\left(x - 2\right) \left(x + 4\right)} = x + 2$
by squaring we get
${x}^{2} + 2 x - 8 = {x}^{2} + 4 x + 4$
or
$- 12 = 2 x$ so $x = - 6$
This fulfilles not our equation since
$\sqrt{\left(- 8\right) ... | 854 | 2,173 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 25, "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, "ma... | 4.71875 | 5 | CC-MAIN-2020-05 | latest | en | 0.69697 |
https://books.google.co.nz/books?id=etc2AAAAMAAJ&lr= | 1,571,220,121,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570986666959.47/warc/CC-MAIN-20191016090425-20191016113925-00023.warc.gz | 406,394,662 | 9,840 | # An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension, Demonstration and Application of the Leading Principles of that Science
E. Morgan & Company, 1845 - Algebra - 294 pages
### What people are saying -Write a review
We haven't found any reviews in the usual places.
### Contents
SUBJECT X... | 565 | 2,245 | {"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, "ma... | 4.25 | 4 | CC-MAIN-2019-43 | latest | en | 0.921722 |
http://www.quantumstudy.com/physics/numerical-kinematics/ | 1,563,245,541,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195524475.48/warc/CC-MAIN-20190716015213-20190716041213-00142.warc.gz | 259,500,854 | 8,277 | # Numerical Problems : Kinematics
#### LEVEL – I
1. A cricketer hits a ball from the ground level with a velocity vo = (20i^ + 10j^ ) m/sec. Find the velocity of the ball at t = 1 sec, from the instant of projection (g = 10 m/sec2 ).
[ Ans: 20i^ ]
2. A body is projected vertically up with a speed Vo . Find the mag... | 641 | 2,349 | {"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, "ma... | 4 | 4 | CC-MAIN-2019-30 | longest | en | 0.925106 |
https://www.geeksforgeeks.org/count-points-covered-by-given-intervals/ | 1,575,561,156,000,000,000 | text/html | crawl-data/CC-MAIN-2019-51/segments/1575540481076.11/warc/CC-MAIN-20191205141605-20191205165605-00463.warc.gz | 719,080,924 | 27,048 | # Count points covered by given intervals
Consider an infinite x-y plane. Infinite people walk on the plane in upward or +ve Y direction. At each integer point on the x-axis, only one person walks. Suppose, several barriers exist parallel to the x-axis. Barriers are provided as three truplets
• X1 – the x-point at wh... | 892 | 3,231 | {"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, "ma... | 3.890625 | 4 | CC-MAIN-2019-51 | longest | en | 0.925574 |
https://www.mpgh.net/forum/270-homework-learning-section/171446-arithmetic.html | 1,511,297,713,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934806426.72/warc/CC-MAIN-20171121204652-20171121224652-00206.warc.gz | 828,515,436 | 22,463 | 1. ## Arithmetic
Arithmetic Operations 1A
Ok niggas, today we gonna be learning basic arithmetic operations in the set of all natural numbers or in laymen terms, all non-negative integers.
First you need to know your numbers, there are:
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These are called Arabic Numerals (don't worry, ... | 1,182 | 3,553 | {"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, "ma... | 4.28125 | 4 | CC-MAIN-2017-47 | latest | en | 0.84207 |
http://mymathforum.com/algebra/340400-si-base-units-y-equation.html | 1,524,275,412,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125944851.23/warc/CC-MAIN-20180421012725-20180421032725-00501.warc.gz | 217,835,033 | 8,935 | My Math Forum Si Base units of Y from an equation
Algebra Pre-Algebra and Basic Algebra Math Forum
May 7th, 2017, 03:22 AM #1 Newbie Joined: May 2017 From: UK Posts: 2 Thanks: 0 Si Base units of Y from an equation I have been given the equation - y = sqrt 3kx/m Where k is a constant with units joules per kelvin m... | 519 | 1,518 | {"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, "mat... | 3.703125 | 4 | CC-MAIN-2018-17 | longest | en | 0.847378 |
https://nl.mathworks.com/matlabcentral/answers/666663-construction-of-diagonal-matrix-of-functions?s_tid=prof_contriblnk | 1,713,206,499,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296817014.15/warc/CC-MAIN-20240415174104-20240415204104-00197.warc.gz | 408,240,964 | 26,575 | # construction of diagonal matrix of functions
1 view (last 30 days)
danielle sisserman on 28 Nov 2020
Edited: Matt J on 28 Nov 2020
I have three functions: f_1, f_2, and f_3.
I want to construct the matrix A for the following linear system:
so the first line of the system will be f_2(x_1) + f_3(x_2) = q_1
second line... | 753 | 2,084 | {"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, "ma... | 3.765625 | 4 | CC-MAIN-2024-18 | latest | en | 0.801475 |
https://math.stackexchange.com/questions/208250/integral-of-sinc-function-multiplied-by-gaussian | 1,716,266,148,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971058383.61/warc/CC-MAIN-20240521025434-20240521055434-00094.warc.gz | 343,815,251 | 39,851 | # Integral of sinc function multiplied by Gaussian
I am wondering whether the following integral
$$\int_{-\infty}^{\infty} \frac{\exp( - a x^2 ) \sin( bx )}{x} \,\mathrm{d}x$$
exists in closed form. I would like to use it for numerical calculation and find an efficient way to evaluate it. If analytical form does not... | 2,676 | 7,259 | {"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, "mat... | 3.65625 | 4 | CC-MAIN-2024-22 | latest | en | 0.875908 |
http://www.cs.rpi.edu/academics/courses/spring16/cs1/course_notes/lec14_design_part1.html | 1,537,795,240,000,000,000 | text/html | crawl-data/CC-MAIN-2018-39/segments/1537267160454.88/warc/CC-MAIN-20180924125835-20180924150235-00103.warc.gz | 314,906,310 | 4,429 | # Lecture 14 — Problem Solving and Design, Part 1¶
## Overview¶
This is the first of our lectures dedicated primarily to problem solving and design rather than on particular programming constructs and techniques
• Design:
• Choice of container/data structure; choice of algorithm.
• At the moment, we don’t know too m... | 609 | 2,827 | {"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, "ma... | 3.609375 | 4 | CC-MAIN-2018-39 | latest | en | 0.902895 |
http://everything2.com/title/monkey+gun | 1,487,811,833,000,000,000 | text/html | crawl-data/CC-MAIN-2017-09/segments/1487501171066.47/warc/CC-MAIN-20170219104611-00629-ip-10-171-10-108.ec2.internal.warc.gz | 87,989,143 | 5,776 | We like Monkeys. We like guns. Put them together and you get a...
Monkey gun. Oh yes. But it's not what you think.
No, the purpose of the monkey gun is not to shoot primates. Instead, it is a mental exercise to demonstrate the independence of vertical and horizontal motion. Although, shooting monkeys would be... no, ... | 328 | 1,420 | {"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, "ma... | 3.5 | 4 | CC-MAIN-2017-09 | latest | en | 0.924344 |
https://mathemerize.com/a-problem-in-mathematics-is-given-to-three-students-a-b-c-and-their-respective-probability-of-solving-the-problem-is-1over-2-1over-3-and-1over-4-probability-that-the-proble-2/ | 1,713,698,906,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296817765.59/warc/CC-MAIN-20240421101951-20240421131951-00446.warc.gz | 353,299,703 | 32,781 | # A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is $$1\over 2$$, $$1\over 3$$ and $$1\over 4$$. Probability that the problem is solved is
## Solution :
Since the probability of solving the problem by A, B and C is $$1\over 2$$, $$1\over 3$$ and $$1... | 408 | 1,470 | {"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, "mat... | 4.46875 | 4 | CC-MAIN-2024-18 | longest | en | 0.940565 |
http://www.jiskha.com/display.cgi?id=1321394776 | 1,498,362,692,000,000,000 | text/html | crawl-data/CC-MAIN-2017-26/segments/1498128320395.62/warc/CC-MAIN-20170625032210-20170625052210-00177.warc.gz | 578,561,507 | 4,647 | # Calculus
posted by .
With y=f(x) (2x-10)^1/2
having a virtual line joined at point Q from the origin (0,0), determine the coordinates of point Q that maximises the angle of vision of an observer, situated at the origin, following the movement of point Q along the curve.
Note that tan (theta symbol) = y/x
Will I j... | 701 | 1,727 | {"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, "ma... | 4 | 4 | CC-MAIN-2017-26 | latest | en | 0.843252 |
https://www.jiskha.com/questions/1379528/1-if-3-out-of-24-marked-scripts-have-mathematical-error-and-5-are-to-be-randomly | 1,571,303,701,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570986673250.23/warc/CC-MAIN-20191017073050-20191017100550-00023.warc.gz | 956,215,780 | 5,790 | # math
1.if 3 out of 24 marked scripts have mathematical error and 5 are to be randomly selected for audit,what is the probability that none of the marked scripts with mathematical errors will be chosen?
2.ten identical PCs are in the inventory of a dealer,one has a hidden defect.if 3 are to be shipped,and the comput... | 1,030 | 3,798 | {"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, "ma... | 3.6875 | 4 | CC-MAIN-2019-43 | latest | en | 0.952166 |
https://math.stackexchange.com/questions/1386788/understanding-two-triangular-sequences | 1,563,644,608,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195526560.40/warc/CC-MAIN-20190720173623-20190720195623-00151.warc.gz | 468,012,938 | 40,952 | # Understanding two “triangular” sequences
Just playing around doodling today and I happened across two related sequences of numbers and I'm reaching out to understand what exactly is going on.
## Sequence 1
The $n$th term of Sequence 1, $a_n$, is created by (illustration follows):
• Writing $1,\ldots,n$, then $n-1... | 4,323 | 12,036 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.4375 | 4 | CC-MAIN-2019-30 | latest | en | 0.907779 |
https://razielbook.com/?post=8695 | 1,632,289,386,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057329.74/warc/CC-MAIN-20210922041825-20210922071825-00502.warc.gz | 515,010,278 | 4,450 | # How do I solve math sums easily
## Sum symbol
A practical way to shorten a sum is to use the sums notation (also Sigma notation called), which is indicated by the capital Greek letter sigma (Σ).
definition
The sum of n terms a1, a2, a3, ..., an can be written in abbreviated form as follows:
i is the Run variable... | 453 | 1,941 | {"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, "ma... | 4.46875 | 4 | CC-MAIN-2021-39 | latest | en | 0.940636 |
http://mathhelpforum.com/math-topics/80713-imaginary-unit.html | 1,527,238,855,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794867055.20/warc/CC-MAIN-20180525082822-20180525102822-00474.warc.gz | 192,161,712 | 10,915 | 1. ## Imaginary unit
Why does i equal the square root of -1 and i^2 equal -1?
2. Originally Posted by HSS8
Why does i equal the square root of -1
that is simply how it is defined.
and i^2 equal -1?
well, squaring gets rid of the square root.
see here and here
3. Originally Posted by HSS8
Why does i equal the squar... | 624 | 2,140 | {"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, "mat... | 4.0625 | 4 | CC-MAIN-2018-22 | latest | en | 0.928399 |
https://mathlake.com/properties-limits | 1,709,158,796,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474746.1/warc/CC-MAIN-20240228211701-20240229001701-00865.warc.gz | 397,854,541 | 4,106 | Properties of Limits
Notation of Limit
The limit of a function is designated by $$f\left( x \right) \to L$$ as $$x \to a$$ or using the limit notation: $$\lim\limits_{x \to a} f\left( x \right) = L.$$
Below we assume that the limits of functions $$\lim\limits_{x \to a} f\left( x \right),$$ $$\lim\limits_{x \to a} g\... | 1,786 | 4,628 | {"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, "mat... | 4.21875 | 4 | CC-MAIN-2024-10 | latest | en | 0.594053 |
http://docplayer.net/15936519-Vector-algebra-chapter-13-u13-1-basic-concepts.html | 1,547,717,059,000,000,000 | text/html | crawl-data/CC-MAIN-2019-04/segments/1547583658901.41/warc/CC-MAIN-20190117082302-20190117104302-00561.warc.gz | 67,348,672 | 33,329 | # Vector Algebra CHAPTER 13. Ü13.1. Basic Concepts
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1 CHAPTER 13 ector Algebra Ü13.1. Basic Concepts A vector in the plane or in space is an arrow: it is determined by its length, denoted and its direction. Two arrows represent the same vector if the... | 15,773 | 55,786 | {"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, "ma... | 4.6875 | 5 | CC-MAIN-2019-04 | latest | en | 0.948015 |
https://www.hackmath.net/en/math-problems/basic-functions?page_num=97 | 1,561,615,313,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560628000894.72/warc/CC-MAIN-20190627055431-20190627081431-00214.warc.gz | 776,244,368 | 7,143 | # Basic functions - problems - page 97
1. A perineum
A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
2. 15 teachers
15 teachers teach for a combined amount of 128 days over a period of 64 days. What is this expressed as a percentage?
3. Price inflation... | 854 | 3,024 | {"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, "ma... | 3.875 | 4 | CC-MAIN-2019-26 | latest | en | 0.945863 |
http://mathforum.org/library/drmath/view/61088.html | 1,498,653,771,000,000,000 | text/html | crawl-data/CC-MAIN-2017-26/segments/1498128323680.18/warc/CC-MAIN-20170628120308-20170628140308-00298.warc.gz | 260,055,105 | 3,883 | Associated Topics || Dr. Math Home || Search Dr. Math
### Are Negative Exponents Like Other Exponents?
```Date: 08/21/2002 at 09:09:18
From: Stephanie
Subject: Are positive exponents like other exponents?
I know how to do positive and negative exponents. I know that anything
to the power of zero is one. I don't know... | 1,079 | 4,047 | {"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, "ma... | 4.34375 | 4 | CC-MAIN-2017-26 | longest | en | 0.917678 |
https://www.numbersaplenty.com/3694 | 1,713,550,704,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296817442.65/warc/CC-MAIN-20240419172411-20240419202411-00530.warc.gz | 833,280,286 | 3,190 | Search a number
3694 = 21847
BaseRepresentation
bin111001101110
312001211
4321232
5104234
625034
713525
oct7156
95054
103694
112859
12217a
1318b2
1414bc
151164
hexe6e
3694 has 4 divisors (see below), whose sum is σ = 5544. Its totient is φ = 1846.
The previous prime is 3691. The next prime is 3697. The reversal of 36... | 573 | 1,987 | {"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, "ma... | 3.859375 | 4 | CC-MAIN-2024-18 | latest | en | 0.927504 |
https://overbookplan.com/26395-understanding-sports-betting-odds-2-42/ | 1,725,706,150,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700650826.4/warc/CC-MAIN-20240907095856-20240907125856-00724.warc.gz | 421,615,962 | 49,101 | # Understanding Sports Betting Odds
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## The Basics of Sports Betting Odds
Sports betting odds can seem confusing at first, but they are actually quite simple once you understand the basics. The odds represent the likelihood of a particular outcome happening, and they also show you how much money you can win if y... | 710 | 3,544 | {"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, "ma... | 3.734375 | 4 | CC-MAIN-2024-38 | latest | en | 0.921336 |
https://www.vedantu.com/question-answer/which-congruence-criterion-can-be-used-for-the-class-8-maths-cbse-60a3b7ccd4529b28fc9a7d1f | 1,721,471,518,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763515079.90/warc/CC-MAIN-20240720083242-20240720113242-00753.warc.gz | 894,610,421 | 29,895 | Courses
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# Which congruence criterion can be used for the following?Given: $RP=ZX,RQ=ZY,\angle PRQ=\angle XZY$ . So, $\Delta PQR=\Delta XYZ$ .
Last updated date: 17th Jul 2024
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348.6k+ views
Hint: We first ex... | 289 | 1,022 | {"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, "mat... | 4.125 | 4 | CC-MAIN-2024-30 | latest | en | 0.768705 |
https://doubtnut.com/question-answer/divide-the-polynomial-px-by-the-polynomial-gx-and-find-the-quotient-and-remainder-in-each-of-the-fol-3046 | 1,591,097,672,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590347424174.72/warc/CC-MAIN-20200602100039-20200602130039-00003.warc.gz | 311,108,663 | 54,556 | or
# Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :p(x)=x^3-3x^2+5x-3,g(x)=x^2-2
Question from Class 10 Chapter Polynomials
Apne doubts clear karein ab Whatsapp par bhi. Try it now.
Watch 1000+ concepts & tricky questions explained!
770.3 K+ views... | 294 | 757 | {"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, "ma... | 3.609375 | 4 | CC-MAIN-2020-24 | latest | en | 0.687555 |
https://www.geeksforgeeks.org/how-to-prove-that-sec%C2%B2%CE%B8-csc%C2%B2%CE%B8-sec%C2%B2%CE%B8-x-csc%C2%B2%CE%B8/ | 1,638,211,695,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964358786.67/warc/CC-MAIN-20211129164711-20211129194711-00250.warc.gz | 850,162,802 | 25,156 | # How to prove that sec²θ + csc²θ = sec²θ × csc²θ?
• Difficulty Level : Basic
• Last Updated : 03 Sep, 2021
Trigonometry is a study of the properties of triangles and trigonometric functions. It is used a lot in engineering, science, for building video games, and more. It deals with the relationship between ratios of... | 2,038 | 5,369 | {"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, "ma... | 4.59375 | 5 | CC-MAIN-2021-49 | latest | en | 0.877137 |
http://algorithms.tutorialhorizon.com/category/sorting-techniques/ | 1,516,303,317,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084887600.12/warc/CC-MAIN-20180118190921-20180118210921-00682.warc.gz | 12,960,302 | 14,195 | # Category: Sorting Techniques
## Sort Names by their Last Names.
Objective: Given a list of names ( first name and last name), sort the list by their last names. Example: List [] = {“Daenerys Targaryen”, “Jon Snow”, ” Tyrion Lannister”, ” Joffrey Baratheon”} Output:...
## Merge K Sorted Arrays
Objective: Given k s... | 607 | 2,530 | {"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, "ma... | 3.5625 | 4 | CC-MAIN-2018-05 | latest | en | 0.744744 |
https://volleydork.blog/2020/09/02/step-11-5-probability-to-win-the-rally-expected-value-and-other-metrics-a-quick-pitstop/ | 1,656,473,879,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656103620968.33/warc/CC-MAIN-20220629024217-20220629054217-00416.warc.gz | 638,235,333 | 45,440 | # Step 11.5: Probability to Win the Point, Expected Value, and Other Metrics. A Quick Pitstop.
You may be seeing terms like Expected Value (eV), Win Probabilities, or other terms floating around this blog. I’d just like to take a quick second to help translate what’s being talked about.
Expected Value (eV) – its nota... | 1,056 | 4,589 | {"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, "ma... | 4.125 | 4 | CC-MAIN-2022-27 | longest | en | 0.942086 |
https://mathoverflow.net/questions/341830/a-q-rious-identity/342221 | 1,576,350,714,000,000,000 | text/html | crawl-data/CC-MAIN-2019-51/segments/1575541288287.53/warc/CC-MAIN-20191214174719-20191214202719-00016.warc.gz | 449,484,914 | 27,041 | # A q-rious identity
Let $$[x]_q=\frac{1-q^x}{1-q}$$, $$[n]_q!=[1]_q[2]_q\cdots[n]_q$$ and $${\binom{x}{n}}_{q}=\frac{[x]_q[x-1]_q\cdots[x-n+1]_q }{[n]_q!}$$.
Computer experiments suggest that $$\det \left(q^\binom{i-j}{2}\left(\binom{i+r}{j}_{q}x+\binom{i+r-j}{j}_{q}\right)\right)_{i,j = 0}^{n - 1} = (1+x)^n$$
Any ... | 1,394 | 3,091 | {"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, "mat... | 3.6875 | 4 | CC-MAIN-2019-51 | latest | en | 0.593804 |
https://gomathanswerkey.com/mcgraw-hill-math-grade-6-lesson-3-1-answer-key/ | 1,657,059,465,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656104628307.87/warc/CC-MAIN-20220705205356-20220705235356-00437.warc.gz | 326,501,514 | 17,906 | # McGraw Hill Math Grade 6 Lesson 3.1 Answer Key Dividing Whole Numbers
Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 3.1 Dividing Whole Numbers will engage students and is a great way of informal assessment.
## McGraw-Hill Math Grade 6 Answer Key Lesson 3.1 Dividing Whole Numbers
Ex... | 1,318 | 3,985 | {"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, "ma... | 4.78125 | 5 | CC-MAIN-2022-27 | latest | en | 0.717697 |
https://www.doubtnut.com/question-answer/express-the-following-complex-numbers-in-the-standard-form-a-i-b-1-1-4i-2-1-i3-4i-5-i-642574827 | 1,670,661,501,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710421.14/warc/CC-MAIN-20221210074242-20221210104242-00604.warc.gz | 798,466,503 | 37,162 | Home
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# Express the following complex numbers in the standard form a+i b :(1/(1-4i)-2/(1+i))((3-4i)/(5+i))
Updated On: 27-06-2022
Step by step solution by experts to help you in doubt clearance & scoring excellent... | 772 | 3,106 | {"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, "mat... | 3.71875 | 4 | CC-MAIN-2022-49 | latest | en | 0.952424 |
http://mathhelpforum.com/pre-calculus/94707-inequalities-2-methods.html | 1,527,033,591,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794864999.62/warc/CC-MAIN-20180522225116-20180523005059-00002.warc.gz | 180,002,434 | 11,631 | # Thread: inequalities: 2 methods
1. ## inequalities: 2 methods
Hi guys,
I am trying to find the values of x for which
$\displaystyle x - 3 < \frac{x - 4}{x}$
Attached is a diagram from which it is easy to see the answer x < 0! i.e these are the values of x for which the straight line x - 3 is below the curve (whi... | 1,350 | 4,429 | {"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, "mat... | 4.125 | 4 | CC-MAIN-2018-22 | latest | en | 0.889408 |
http://datascope.be/MultiVarAnalPage/MDA-SizeShape.html | 1,553,464,722,000,000,000 | text/html | crawl-data/CC-MAIN-2019-13/segments/1552912203493.88/warc/CC-MAIN-20190324210143-20190324232143-00335.warc.gz | 55,355,513 | 2,527 | The Problem of Size and Shape Before we enter into the discussion of methods of Multivariate Data Analysis we have to make an important distinction. It appears that there are two types (or flavors) of basic factor analysis, depending of what our interest is in the data. Suppose we have a table that describes various so... | 481 | 2,336 | {"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, "ma... | 3.78125 | 4 | CC-MAIN-2019-13 | longest | en | 0.940148 |
https://kr.mathworks.com/matlabcentral/cody/problems/44305-5-prime-numbers/solutions/1364938 | 1,576,052,081,000,000,000 | text/html | crawl-data/CC-MAIN-2019-51/segments/1575540530452.95/warc/CC-MAIN-20191211074417-20191211102417-00556.warc.gz | 431,845,075 | 15,938 | Cody
Problem 44305. 5 Prime Numbers
Solution 1364938
Submitted on 1 Dec 2017 by Denis Koch
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
Test Suite
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n_min = 60; n_max = 1000; y_correct = [151,157,251,257,353]; a... | 634 | 1,742 | {"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, "ma... | 3.5 | 4 | CC-MAIN-2019-51 | latest | en | 0.287658 |
http://www.statemaster.com/encyclopedia/Square-%28geometry%29 | 1,571,849,654,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987834649.58/warc/CC-MAIN-20191023150047-20191023173547-00433.warc.gz | 326,592,839 | 14,685 | FACTOID # 16: In the 2000 Presidential Election, Texas gave Ralph Nader the 3rd highest popular vote count of any US state.
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Encyclop... | 2,062 | 8,628 | {"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": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.125 | 4 | CC-MAIN-2019-43 | latest | en | 0.885162 |
https://www.physicsforums.com/threads/does-rotation-of-a-3d-volume-about-a-2d-plane-create-gravity.656474/ | 1,521,785,418,000,000,000 | text/html | crawl-data/CC-MAIN-2018-13/segments/1521257648178.42/warc/CC-MAIN-20180323044127-20180323064127-00726.warc.gz | 820,913,903 | 16,532 | # Does rotation of a 3d volume about a 2d plane create gravity?
1. Dec 3, 2012
### Sunfire
Hello,
If a rotation of a 2-d disk about a 1-d line can produce centrifugal gravity, is it right to infer
that
rotation of a 3-d volume about a 2-d plane would create gravity, observable in the 3-d volume?
It is confusing ... | 887 | 3,664 | {"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, "ma... | 3.703125 | 4 | CC-MAIN-2018-13 | longest | en | 0.919613 |
https://leanprover-community.github.io/mathlib4_docs/Archive/Imo/Imo2013Q5.html | 1,717,092,695,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971670239.98/warc/CC-MAIN-20240530180105-20240530210105-00543.warc.gz | 303,703,762 | 3,603 | # IMO 2013 Q5 #
Let ℚ>₀ be the positive rational numbers. Let f : ℚ>₀ → ℝ be a function satisfying the conditions
1. f(x) * f(y) ≥ f(x * y)
2. f(x + y) ≥ f(x) + f(y)
for all x, y ∈ ℚ>₀. Given that f(a) = a for some rational a > 1, prove that f(x) = x for all x ∈ ℚ>₀.
# Solution #
We provide a direct translation of... | 933 | 1,915 | {"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, "mat... | 3.65625 | 4 | CC-MAIN-2024-22 | latest | en | 0.340416 |
https://henrisjewelry.com/transportation/how-to-find-a-vertical-tangent-line.php | 1,585,842,666,000,000,000 | text/html | crawl-data/CC-MAIN-2020-16/segments/1585370506988.10/warc/CC-MAIN-20200402143006-20200402173006-00460.warc.gz | 508,167,501 | 5,723 | # How to find a vertical tangent line
If the right-hand side of the equation differs from the left-hand side (or becomes zero), then there is a vertical tangent line at that point. The curve y = f(x) has a vertical tangent line at the point (a, f(a)) if Example 1 Find all the points on the graph y = x1/2 −x3/2 where t... | 868 | 3,500 | {"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, "ma... | 4.53125 | 5 | CC-MAIN-2020-16 | latest | en | 0.902078 |
http://mathhelpforum.com/calculus/25371-differentiation-print.html | 1,508,808,367,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187827662.87/warc/CC-MAIN-20171023235958-20171024015958-00527.warc.gz | 218,174,154 | 4,935 | # Differentiation
• Dec 30th 2007, 08:20 AM
DRJ
Differentiation
I am currently studying calculus on an open learning basis and was wondering if someone could take a look at these questions and answers I have posted and feed back on my method of working out etc. I am pretty sure these answers are correct but would appr... | 2,364 | 6,538 | {"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": 73, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.5625 | 5 | CC-MAIN-2017-43 | longest | en | 0.882766 |
https://ecotext2.ru/equations-inequalities-and-problem-solving-3971.html | 1,618,960,353,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039491784.79/warc/CC-MAIN-20210420214346-20210421004346-00156.warc.gz | 328,911,582 | 10,027 | # Equations Inequalities And Problem Solving
If you get a false statement, then the ordered pair is not a solution.
Take a look at this tutorial and learn how to determine if an ordered pair is a solution to an inequality!
In this tutorial you'll learn what an inequality is, and you'll see all the common inequality ... | 852 | 4,351 | {"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, "ma... | 4.5625 | 5 | CC-MAIN-2021-17 | latest | en | 0.946965 |
https://www.analyzemath.com/middle_school_math/grade_6/algebra_sol.html | 1,709,503,930,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947476399.55/warc/CC-MAIN-20240303210414-20240304000414-00892.warc.gz | 659,854,754 | 12,529 | # Solutions to Algebra Questions and Problems for Grade 6
Detailed solutions to Algebra Questions and Problems for Grade 6 are presented along with explanations.
## Solutions
1. Like terms have the same variable with equal exponents. Also all numbers are like terms.
A) The terms 6 x and 12 x have same variable x... | 4,683 | 12,149 | {"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, "ma... | 4.84375 | 5 | CC-MAIN-2024-10 | latest | en | 0.853505 |
https://www.physicsforums.com/threads/kirchoffs-law-and-critical-points.299115/ | 1,532,135,611,000,000,000 | text/html | crawl-data/CC-MAIN-2018-30/segments/1531676592001.81/warc/CC-MAIN-20180720232914-20180721012914-00206.warc.gz | 967,978,458 | 13,820 | # Homework Help: Kirchoff's Law and Critical Points
1. Mar 11, 2009
1. The problem statement, all variables and given/known data[/b]
What is/are the critical points of Kirchoff's Law:
L$$\left(\frac{di}{dt}\right)$$ + Ri = E
3. The attempt at a solution
I solved the differential equation above and got the followi... | 478 | 1,568 | {"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, "mat... | 3.921875 | 4 | CC-MAIN-2018-30 | latest | en | 0.851342 |
https://napalmbet.com/arbitrage-betting.html | 1,571,285,409,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570986672548.33/warc/CC-MAIN-20191017022259-20191017045759-00270.warc.gz | 610,001,104 | 37,973 | # What is arbitrage betting and surebet – how to make money on sports
How to use arbitrage betting to have a steady income? All the tricks of arbitrage betting are based on real feedback arbitrage examples.
## What is arbitrage?
Arbitrage betting (arbitrage situations) is a betting strategy when a player places thei... | 5,494 | 23,599 | {"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, "ma... | 3.5 | 4 | CC-MAIN-2019-43 | longest | en | 0.843624 |
https://codeproject.global.ssl.fastly.net/Articles/5061293/Integer-Factorization-Optimizing-Small-Factors-Che?msg=5774709 | 1,695,614,541,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233506676.95/warc/CC-MAIN-20230925015430-20230925045430-00018.warc.gz | 197,415,047 | 32,785 | 15,742,764 members
Articles / General Programming / Algorithms
Article
Posted 30 May 2019
9.4K views
4 bookmarked
# Integer Factorization: Optimizing Small Factors Checking
Rate me:
5.00/5 (1 vote)
How to optimize small factors checking
In this article, I show how I adapted a mental calculation technique to check so... | 7,041 | 19,206 | {"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, "ma... | 3.890625 | 4 | CC-MAIN-2023-40 | latest | en | 0.897467 |
https://www.turito.com/learn/physics/force-of-gravity-grade-3 | 1,718,699,345,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861747.70/warc/CC-MAIN-20240618073942-20240618103942-00087.warc.gz | 917,401,217 | 29,723 | #### Need Help?
Get in touch with us
# Force of Gravity: Know About our Earth’s Gravity
Aug 20, 2022
### Key Concepts
• The Earth’s gravity
• Consequences of the Earth’s gravity
## Introduction:
It is known that an object may start or stop its motion and slow down or speed up its motion when a force is applied t... | 1,074 | 5,019 | {"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, "ma... | 4.125 | 4 | CC-MAIN-2024-26 | latest | en | 0.945023 |
https://oneclass.com/class-notes/aus/qut/engr/enb205/182382-enb215-fundamentals-of-mechanical-design-week-1docx.en.html | 1,524,702,601,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125948029.93/warc/CC-MAIN-20180425232612-20180426012612-00201.warc.gz | 672,091,975 | 41,422 | Class Notes (838,936)
Australia (1,845)
ENB205 (17)
Lecture
# ENB215 Fundamentals of Mechanical Design Week 1.docx
3 Pages
180 Views
Course
ENB205
Professor
Negareh Ghasemi
Semester
Spring
Description
ENB215 Lecture Fundamentals of Mechanical Design Assessment Weighting Computational Scheme 50% 20% Hand Drawing 10%... | 530 | 2,216 | {"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, "ma... | 3.6875 | 4 | CC-MAIN-2018-17 | latest | en | 0.891238 |
https://kidsworksheetfun.com/motion-graphs-2-worksheet-answers/ | 1,709,425,383,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947476137.72/warc/CC-MAIN-20240302215752-20240303005752-00111.warc.gz | 339,335,838 | 25,707 | # Motion Graphs 2 Worksheet Answers
2 04 motion graphs worksheet name abby mora the distance time graphs below represent the motion of a. Hope you like them and do not forget to like social share and comment at the end of the page.
Motion Review Worksheet Speed Time Graphs In 2020 Graphing Motion Graphs High School C... | 999 | 4,900 | {"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, "ma... | 3.8125 | 4 | CC-MAIN-2024-10 | latest | en | 0.868287 |
https://www.physicsforums.com/threads/elements-of-aut-z-4z.954554/ | 1,656,256,063,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656103269583.13/warc/CC-MAIN-20220626131545-20220626161545-00411.warc.gz | 1,002,040,709 | 19,653 | # Elements of Aut(Z/4Z)
## Homework Statement
Find, with justification, all the elements of ##\operatorname{Aut} (\mathbb{Z}/4\mathbb{Z})##. Which ones are in ##\operatorname{Inn} (\mathbb{Z} / 4\mathbb{Z})##?
## The Attempt at a Solution
First we note that ##\operatorname{id}_{\mathbb{Z} / 4\mathbb{Z}} \in \operat... | 4,167 | 12,846 | {"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, "ma... | 3.984375 | 4 | CC-MAIN-2022-27 | latest | en | 0.71307 |
https://ask.sagemath.org/question/8888/substituting-for-a-matrix-of-variables/?answer=13463 | 1,582,334,996,000,000,000 | text/html | crawl-data/CC-MAIN-2020-10/segments/1581875145621.28/warc/CC-MAIN-20200221233354-20200222023354-00365.warc.gz | 296,905,288 | 15,715 | # Substituting for a matrix of variables
I constructed a matrix of variables in the following way:
n = 3
R = PolynomialRing(RR,[['r','t'][cmp(int(i/n),i%n)]+'_'+str(1+int(i/n))+str(1+i%n) for i in range(n^2)])
S = matrix(R,3,R.gens())
show(S)
When i tried to substitute one of the variables with zero, it did not wor... | 1,342 | 3,733 | {"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, "mat... | 3.546875 | 4 | CC-MAIN-2020-10 | longest | en | 0.697344 |
https://www.reference.com/web?q=Equivalent+Fractions&qo=contentPageRelatedSearch&o=600605&l=dir&gc=1 | 1,508,256,500,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187822116.0/warc/CC-MAIN-20171017144041-20171017164041-00694.warc.gz | 978,825,469 | 13,981 | articles
Equivalent fractions are fractions that have the same numerical value. For example, 1/2 and 2/4 are equivalent fractions, as they are both equal to 0.5. More »
www.reference.com Math Fractions & Percentages
Equivalent fractions can be found by either dividing or multiplying both the numerator and denominato... | 398 | 1,766 | {"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, "ma... | 4.21875 | 4 | CC-MAIN-2017-43 | longest | en | 0.822843 |
https://www.physicsforums.com/threads/static-equilibrium-man-on-a-ladder.811971/ | 1,563,944,884,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195530385.82/warc/CC-MAIN-20190724041048-20190724063048-00135.warc.gz | 780,688,084 | 20,241 | # Static equilibrium - man on a ladder
#### aweeeezy
1. The problem statement, all variables and given/known data
Here's a screen shot of the problem statement:
http://i.imgur.com/IRI02Ne.png
For the purpose of this post, I'll label the given information as:
a = left side of ladder (2.5m)
a' = distance from floor to... | 2,081 | 8,386 | {"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, "mat... | 4.0625 | 4 | CC-MAIN-2019-30 | latest | en | 0.894534 |
https://www.mathselab.com/mathematics-time-and-distance-numerical-reasoning-question-answer/ | 1,686,444,241,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224646652.16/warc/CC-MAIN-20230610233020-20230611023020-00279.warc.gz | 962,519,452 | 14,009 | # A man walks at 5 km/h for 6hr and at 4km/h for 12hr. His average speed is
### Question
A man walks at 5 km/h for 6hr and at 4km/h for 12hr. His average speed is
`A. 9 ½ km/h`
`B. 8 km/h`
`C. 4 1/3 km/h`
`D. 7 2/3 km/h`
Answer: C
Solution:
Avg speed = total distance/total time
= 5*6 + 4*12 / 18
= 4 1/3 km/h | 141 | 317 | {"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, "ma... | 3.703125 | 4 | CC-MAIN-2023-23 | longest | en | 0.797955 |
https://www.iitianacademy.com/ib-dp-physics-2-1-motion-sl-paper-1/ | 1,659,929,877,000,000,000 | text/html | crawl-data/CC-MAIN-2022-33/segments/1659882570765.6/warc/CC-MAIN-20220808031623-20220808061623-00735.warc.gz | 717,392,674 | 54,124 | # IB DP Physics 2.1 – Motion Question Bank SL Paper 1
### Question
The graph shows how the position of an object varies with time in the interval from 0 to 3 s.
At which point does the instantaneous speed of the object equal its average speed over the interval from 0 to 3 s?
Ans: C
In a graph of position versus ti... | 875 | 4,038 | {"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, "mat... | 3.5 | 4 | CC-MAIN-2022-33 | latest | en | 0.917073 |
https://www.lecturio.com/medical-courses/spring-potential-energy.lecture | 1,550,311,549,000,000,000 | text/html | crawl-data/CC-MAIN-2019-09/segments/1550247480240.25/warc/CC-MAIN-20190216085312-20190216111312-00332.warc.gz | 881,393,707 | 30,988 | # Spring Potential Energy
by Jared Rovny
My Notes
• Required.
Learning Material 2
• PDF
Slides Energy Physics.pdf
• PDF
Report mistake
Transcript
00:01 We have one last thing to discuss with regard to the potential energy and that is that energy can be stored in more than one sort of place.
00:08 We talked about th... | 884 | 3,677 | {"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, "ma... | 3.796875 | 4 | CC-MAIN-2019-09 | latest | en | 0.957967 |
https://socratic.org/questions/how-do-you-determine-if-the-equation-y-0-5-1-2-x-represents-exponential-growth-o | 1,586,490,616,000,000,000 | text/html | crawl-data/CC-MAIN-2020-16/segments/1585371883359.91/warc/CC-MAIN-20200410012405-20200410042905-00511.warc.gz | 689,984,407 | 6,137 | # How do you determine if the equation y=0.5(1.2)^x represents exponential growth or decay?
Nov 21, 2017
See explanation.
#### Explanation:
An exponential equation $f \left(x\right) = a \cdot {b}^{x}$ is a decreasing function (represents decay) if:
$a > 0$ and bin(0;1)
or
$a < 0$ and $b > 1$
It is an increasin... | 205 | 593 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 14, "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, "ma... | 4.1875 | 4 | CC-MAIN-2020-16 | longest | en | 0.715973 |
https://math.stackexchange.com/questions/1977076/fundamental-theorem-of-calculus-for-lim-limits-x-to-0-frac-int-0xx-t-sin | 1,566,739,343,000,000,000 | text/html | crawl-data/CC-MAIN-2019-35/segments/1566027330233.1/warc/CC-MAIN-20190825130849-20190825152849-00274.warc.gz | 532,665,272 | 35,644 | # Fundamental Theorem of Calculus for $\lim\limits_{x\to 0}\frac{\int_0^x(x-t)\sin t^2\ dt}{x\sin^3x}$
How to integrate this?
Evaluate $$\lim_{x\to0}\frac{\displaystyle\int_0^x(x-t)\sin t^2\ dt}{x\sin^3x}.$$
I've had difficulty in using L'Hopital rule. At the same time failed to really understand how to differentiat... | 2,521 | 6,481 | {"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, "mat... | 3.578125 | 4 | CC-MAIN-2019-35 | latest | en | 0.815601 |
http://www.ck12.org/tebook/Texas-Instruments-Geometry-Teacher%2527s-Edition/r1/section/11.1/TE-Perimeter-and-Area---TI-%253A%253Aof%253A%253A-Texas-Instruments-Geometry-Teacher%2527s-Edition/ | 1,411,084,980,000,000,000 | text/html | crawl-data/CC-MAIN-2014-41/segments/1410657129409.8/warc/CC-MAIN-20140914011209-00007-ip-10-196-40-205.us-west-1.compute.internal.warc.gz | 421,328,041 | 28,202 | <meta http-equiv="refresh" content="1; url=/nojavascript/"> Diameter and Circumference of a Circle | CK-12 Foundation
You are reading an older version of this FlexBook® textbook: CK-12 Texas Instruments Geometry Teacher's Edition Go to the latest version.
# 11.1: Diameter and Circumference of a Circle
Created by: CK-... | 876 | 3,974 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2014-41 | longest | en | 0.799629 |
https://es.mathworks.com/matlabcentral/cody/problems/44-trimming-spaces/solutions/2705703 | 1,600,530,639,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600400192778.51/warc/CC-MAIN-20200919142021-20200919172021-00264.warc.gz | 398,718,195 | 16,682 | Cody
# Problem 44. Trimming Spaces
Solution 2705703
Submitted on 17 Jul 2020
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
### Test Suite
Test Status Code Input and Output
1 Pass
a = 'no extra spaces'; b = 'no extra spaces'; assert(isequal(b,removeSpa... | 444 | 1,471 | {"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, "ma... | 3.640625 | 4 | CC-MAIN-2020-40 | latest | en | 0.676947 |
https://www.momscribe.com/2010/11/transpose-and-apply.html | 1,569,014,244,000,000,000 | text/html | crawl-data/CC-MAIN-2019-39/segments/1568514574077.39/warc/CC-MAIN-20190920200607-20190920222607-00400.warc.gz | 921,990,216 | 28,444 | Latest Articles
# Transpose and Apply
Info Post
Transpose and Apply is also known as " Parāvartya Yojayet".This method can be applied to solve Horner's process of Synthetic Division ( polynomial divisions ) and is useful in cases where the divisor consists of small digits.
Example :
Polynomial Divisions
x3+4x2+5x+1 ... | 468 | 1,623 | {"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, "ma... | 4.53125 | 5 | CC-MAIN-2019-39 | longest | en | 0.893151 |
https://converter.ninja/volume/liters-to-us-customary-cups/365-l-to-uscup/ | 1,722,756,700,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640393185.10/warc/CC-MAIN-20240804071743-20240804101743-00150.warc.gz | 147,354,434 | 5,401 | # 365 liters in US customary cups
## Conversion
365 liters is equivalent to 1542.76478577159 US customary cups.[1]
## Conversion formula How to convert 365 liters to US customary cups?
We know (by definition) that: $1\mathrm{liter}\approx 4.22675283773038\mathrm{uscup}$
We can set up a proportion to solve for the ... | 385 | 1,416 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "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, "mat... | 3.921875 | 4 | CC-MAIN-2024-33 | latest | en | 0.744132 |
https://www.physicsforums.com/threads/hydrostatic-paradox-one-step-further-weights-of-the-different-fluid-amounts.516367/ | 1,511,071,213,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934805362.48/warc/CC-MAIN-20171119042717-20171119062717-00143.warc.gz | 829,021,662 | 16,455 | # Hydrostatic paradox one step further- weights of the different fluid amounts
1. Jul 23, 2011
### symphwar
1. The problem statement, all variables and given/known data
Two open-top containers, #1 on the left
and #2 on the right, with equal base area A
are placed on two scales. The #2 container
on the right has an ... | 965 | 3,418 | {"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, "mat... | 4.03125 | 4 | CC-MAIN-2017-47 | longest | en | 0.93774 |
https://www.crazy-numbers.com/en/5262 | 1,544,394,469,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376823183.3/warc/CC-MAIN-20181209210843-20181209232843-00346.warc.gz | 986,871,181 | 4,248 | Discover a lot of information on the number 5262: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
## Mathematical properties of 5262
Is 5262 a prime number? No
Is 5262 a perfect number? No
Number of divisors 8
List of dividers 1, 2, 3, 6,... | 765 | 2,405 | {"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, "ma... | 3.625 | 4 | CC-MAIN-2018-51 | longest | en | 0.769494 |
https://www.physicsforums.com/threads/horizontal-circular-motion-problem-what-am-doing-wrong.859460/ | 1,508,628,788,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187824899.75/warc/CC-MAIN-20171021224608-20171022004608-00458.warc.gz | 987,914,521 | 20,395 | # Horizontal circular motion problem, what am doing wrong?
Tags:
1. Feb 26, 2016
### SherlockLCooper
1. The problem statement, all variables and given/known data
The County Fair Swing carries the mass of riders and chairs in a circular path in a horizontal plane while suspended by cables or chains. Let's assume tha... | 1,090 | 3,960 | {"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, "mat... | 3.6875 | 4 | CC-MAIN-2017-43 | longest | en | 0.886082 |
https://howkgtolbs.com/convert/22.22-kg-to-lbs | 1,619,173,103,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039617701.99/warc/CC-MAIN-20210423101141-20210423131141-00587.warc.gz | 401,493,015 | 12,305 | # 22.22 kg to lbs - 22.22 kilograms to pounds
Do you need to learn how much is 22.22 kg equal to lbs and how to convert 22.22 kg to lbs? You are in the right place. This whole article is dedicated to kilogram to pound conversion - theoretical and also practical. It is also needed/We also want to point out that whole t... | 3,666 | 14,042 | {"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, "ma... | 4.125 | 4 | CC-MAIN-2021-17 | longest | en | 0.946683 |
https://www.backtofrontmaths.com.au/recent-news-articles/must-cant-simple-ways-adding-complexity-challenging-tasks | 1,558,542,929,000,000,000 | text/html | crawl-data/CC-MAIN-2019-22/segments/1558232256887.36/warc/CC-MAIN-20190522163302-20190522185302-00076.warc.gz | 710,960,517 | 22,225 | # “But you must… But you can’t…” Simple ways of adding complexity to challenging tasks
Sometimes it seems like we make maths teaching more difficult than it needs to be, but make the maths itself easier than it should be. Challenging tasks are not only good for the brain, but also very engaging and fun for kids. Her... | 379 | 1,565 | {"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, "ma... | 4.21875 | 4 | CC-MAIN-2019-22 | latest | en | 0.866163 |
https://mathhelpboards.com/threads/kaskas-question-at-yahoo-answers-involving-related-rates.3395/ | 1,600,599,055,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600400197946.27/warc/CC-MAIN-20200920094130-20200920124130-00410.warc.gz | 528,301,573 | 15,114 | # Kaska's question at Yahoo! Answers involving related rates
#### MarkFL
Staff member
Here is the question:
Calculus related rates question, Help please!?
A lighthouse is fixed 170 feet from a straight shoreline. A spotlight revolves at a rate of 12 revolutions per minute, (24 rad/min ), shining a spot along the sh... | 606 | 2,039 | {"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, "mat... | 4.5 | 4 | CC-MAIN-2020-40 | longest | en | 0.843868 |
https://sookocheff.com/post/fp/evaluating-lambda-expressions/ | 1,686,066,049,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224652959.43/warc/CC-MAIN-20230606150510-20230606180510-00380.warc.gz | 582,603,566 | 10,252 | A lambda expression is said to be in normal form if it cannot be reduced any further, meaning that the expression no longer contains any function applications. More formally, a reducible expression is called a redex, and a lambda expression is in normal form when it contains no more redexes.
Redex
A reducible function... | 1,363 | 6,229 | {"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, "ma... | 3.703125 | 4 | CC-MAIN-2023-23 | longest | en | 0.853832 |
https://www.forestdale.bham.sch.uk/maths-16/ | 1,604,152,038,000,000,000 | text/html | crawl-data/CC-MAIN-2020-45/segments/1603107918164.98/warc/CC-MAIN-20201031121940-20201031151940-00397.warc.gz | 635,011,771 | 13,580 | Forestdale Primary School
Believe - Aspire - Excel
## Announcements
Enjoy the half term - please stay safe - the children are back on MONDAY 2ND NOVEMBER...
# Maths
Lesson 1
LI: represent numbers using different representations
- Think about what we have been learning about representing numbers in different ways... | 467 | 1,843 | {"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, "ma... | 4.15625 | 4 | CC-MAIN-2020-45 | latest | en | 0.906772 |
https://www.clubztutors.com/quick-subject/topic/quick-math/distributive-property/ | 1,550,385,745,000,000,000 | text/html | crawl-data/CC-MAIN-2019-09/segments/1550247481624.10/warc/CC-MAIN-20190217051250-20190217073250-00003.warc.gz | 822,997,578 | 11,210 | # Quick Math
Math Topics with Step by Step Solutions
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## Distributive Property
How to solve a word problem involving the distributive property
Let x, yand z be any real values In distributive property xy+xz=x(y+z)
Example:
A basketball uniform costs \$20 for pants, \$30 for shir... | 190 | 632 | {"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, "ma... | 3.734375 | 4 | CC-MAIN-2019-09 | longest | en | 0.599408 |
https://questions.llc/questions/933656/a-force-f-12-n-i-10-n-j-acts-on-an-object-how-much-work-does-this-force-do-as | 1,660,674,941,000,000,000 | text/html | crawl-data/CC-MAIN-2022-33/segments/1659882572515.15/warc/CC-MAIN-20220816181215-20220816211215-00102.warc.gz | 446,480,158 | 4,717 | # A force F⃗ = 12 N i^ − 10 N j^ acts on an object. How much work does this force do as the object moves from the origin to the point r⃗ = 13 m i^ + 11 m j^?
1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. W = F • d = Fx•rx + Fy•ry = (12 N) (13 m) + (−1 0 N)(+11 m) = 156 -110=46 J
1. 👍
2. 👎
3. ℹ️
4. 🚩
2. 47
1. 👍
2. 👎
3. ℹ️
4.... | 181 | 313 | {"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, "ma... | 3.53125 | 4 | CC-MAIN-2022-33 | latest | en | 0.775318 |
https://proofwiki.org/wiki/Legs_of_Pythagorean_Triangle_used_as_Generator_for_another_Pythagorean_Triangle | 1,580,317,474,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579251801423.98/warc/CC-MAIN-20200129164403-20200129193403-00016.warc.gz | 591,208,925 | 10,721 | # Legs of Pythagorean Triangle used as Generator for another Pythagorean Triangle
## Theorem
Let $a$ and $b$ be the legs of a Pythagorean triangle $P_1$.
Let $\tuple {a, b}$ be used as the generator for a new Pythagorean triangle $P_2$.
Then the hypotenuse of $P_2$ is the square of the hypotenuse of $P_1$.
## Proo... | 388 | 1,148 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4 | 4 | CC-MAIN-2020-05 | latest | en | 0.781396 |
https://www.jiskha.com/display.cgi?id=1332290862 | 1,501,109,902,000,000,000 | text/html | crawl-data/CC-MAIN-2017-30/segments/1500549426639.7/warc/CC-MAIN-20170726222036-20170727002036-00531.warc.gz | 816,003,790 | 3,807 | # science
posted by .
If the greatest potential energy is 100J will the kinetic energy of the object ever reach 100J?
• science -
let's use a block. When a block is released from its rest place on a table, it has:
Potential Energy = 100J
Kinetic Energy = 0
when a block is falling halfway down, it has:
Potential En... | 122 | 459 | {"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, "ma... | 3.578125 | 4 | CC-MAIN-2017-30 | longest | en | 0.855772 |
https://www.classtools.net/QR/8-AWSXT | 1,686,285,239,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224655247.75/warc/CC-MAIN-20230609032325-20230609062325-00588.warc.gz | 768,260,438 | 14,857 | # Print
## A. Prior to the lesson:
1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.
2. If their phone camera doesn't automatically detect and decode QR codes, ask students to
• Bring these devices into the lesson.
4. Cut them out and place them around your class / scho... | 994 | 3,580 | {"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, "ma... | 3.78125 | 4 | CC-MAIN-2023-23 | latest | en | 0.969518 |
https://www.explorelearning.com/index.cfm?method=cResource.dspStandardCorrelation&id=1821 | 1,628,065,235,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046154798.45/warc/CC-MAIN-20210804080449-20210804110449-00620.warc.gz | 785,202,430 | 15,588 | ### 1: The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.
1.6.1: The student represents and uses rational numbers in a variety of equivalent forms.
1.6.1.A: compare and order non-negative rational numbers;
1.6.1.B: generate equivalent forms of rational numbers including... | 1,177 | 5,533 | {"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, "ma... | 3.84375 | 4 | CC-MAIN-2021-31 | latest | en | 0.861919 |
https://www.onlinemath4all.com/solutionstosetVII.html | 1,558,401,043,000,000,000 | text/html | crawl-data/CC-MAIN-2019-22/segments/1558232256184.17/warc/CC-MAIN-20190521002106-20190521024106-00525.warc.gz | 896,042,192 | 7,909 | ## Solutions to set VII
In this page, 'Solutions to set VII' we are discussing how to do the problems given in problems on set-VII.
5. Sam is a section chief for an electric utility company. The employees in his section cut down tall trees or climb poles. Sam recently reported the following information to t... | 1,053 | 3,055 | {"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, "ma... | 4.65625 | 5 | CC-MAIN-2019-22 | latest | en | 0.671608 |
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