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http://www.chegg.com/homework-help/questions-and-answers/square-block-mass-m-falling-velocity-v1-strikes-msall-obstruction-b-assuming-impact-corner-q1316341
|
A square block of mass m is falling with a velocity V1, when it strikes a msall obstruction at B. Assuming that the impact between corner A and the obstruction B is perfectly plastic, determine immediately after the impact (a) the angular velocity of the block and (b) the velocity of its mass center G.
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2016-09-29 07:02:01
|
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| 65
|
https://proofwiki.org/wiki/Primitive_of_Reciprocal_of_p_squared_minus_square_of_q_by_Sine_of_a_x
|
# Primitive of Reciprocal of p squared minus square of q by Sine of a x
## Theorem
$\displaystyle \int \frac {\d x} {p^2 - q^2 \sin^2 a x} = \begin{cases} \displaystyle \frac 1 {a p \sqrt{p^2 - q^2} } \arctan \frac {\sqrt{p^2 - q^2} \tan a x} p & : p^2 > q^2 \\ \displaystyle \frac 1 {2 a p \sqrt{q^2 - p^2} } \ln \size {\frac {\sqrt {q^2 - p^2} \tan a x + p} {\sqrt {q^2 - p^2} \tan a x - p} } & : p^2 < q^2 \end{cases}$
|
2020-06-03 10:26:41
|
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| 191
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https://ncatlab.org/nlab/show/metrisable+topological+space
|
# Contents
## Definition
A topological space $(X,\tau)$ is called metrisable if there exists the stucture of a metric space $(X,d)$ on the underlying set, such that $\tau$ is the corresponding metric topology.
## Metrisability theorem
Various theorems state sufficient conditions for a topological space to be metrisable:
(…)
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2017-09-21 01:18:45
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| 77
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https://socratic.org/questions/how-do-you-use-the-vertical-line-test-to-show-x-absy-is-a-function
|
# How do you use the vertical line test to show x=absy is a function?
$y$ is not a function of $x$.
For example, the vertical line $x = 1$ intersects the relation $x = \left\mid y \right\mid$ at two points:
$\left(1 , 1\right)$ and $\left(1 , - 1\right)$
So $y$ is not uniquely determined by $x$.
|
2019-10-21 23:43:18
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| 98
|
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-p-section-p-1-algebraic-expressions-mathematical-models-and-real-numbers-exercise-set-page-17/17
|
## Precalculus (6th Edition) Blitzer
$10°C$
Start with formula: $C=\frac{5}{9}(F-32)$. Plug in $50$ for $F$: $C=\frac{5}{9}(50-32)$. Simplify to solve for C: $C=\frac{5}{9}(18)=10$.
|
2018-04-24 21:32:51
|
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| 77
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https://socratic.org/questions/57ddcb6d7c0149718679451d
|
# Question #9451d
Given that the vectors have same length, it is meant that they have same magnitude. Let this be a and angle between them is $\theta$. By the problem the resultant of the two being twice of either i.e. 2a, we can write
${\left(2 a\right)}^{2} = {a}^{2} + {a}^{2} + 2 \times a \times a \cos \theta$
$\implies \cos \theta = 1 \implies \theta = {0}^{\circ}$
|
2020-07-10 12:36:50
|
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| 122
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https://brilliant.org/problems/a-geometry-problem-by-charuka-bandara/
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# A geometry problem by Charuka Bandara
Geometry Level pending
$$E$$ and $$N$$ are points on the sides $$DC$$ and $$DA$$ of the square $$ABCD$$ such that $$AN : ND : DE = 2 : 3 : 4.$$ The line through $$N$$ perpendicular to $$BE$$ cuts $$BE$$ at $$P$$ and $$BC$$ at $$M$$. $$AC$$ cuts $$MN$$ at $$O$$ and $$BE$$ at point $$S$$. What fraction of the area of $$ABCD$$ is the area of triangle $$OPS$$?
Give your answer to the first decimal place.
×
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2017-12-15 19:27:38
|
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| 136
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https://proofwiki.org/wiki/Continuous_Strictly_Midpoint-Concave_Function_is_Strictly_Concave
|
# Continuous Strictly Midpoint-Concave Function is Strictly Concave
## Theorem
Let $f$ be a real function which is defined on a real interval $I$.
Let $f$ be strictly midpoint-concave and continuous on $I$.
Then $f$ is strictly concave.
|
2022-01-20 11:07:28
|
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| 65
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https://www.electricalexams.co/electric-line-switch-is-connected/
|
# In an electric line, a switch is connected to which of the following wire?
In an electric line, a switch is connected to which of the following wire?
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2022-01-25 14:09:13
|
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| 33
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http://cvgmt.sns.it/paper/3365/
|
# Local spectral convergence in $RCD^*(K,N)$ spaces
created by ambrosio on 14 Mar 2017
[BibTeX]
Submitted Paper
Inserted: 14 mar 2017
Last Updated: 14 mar 2017
Year: 2017
Abstract:
In this note we give necessary and sufficient conditions for the validity of the local spectral convergence, in balls, on the $RCD^*$-setting.
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2017-07-23 14:50:24
|
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| 93
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http://clay6.com/qa/24364/a-person-carrying-a-plane-mirror-facing-his-back-is-moving-with-a-speed-of-
|
Browse Questions
# A person carrying a plane mirror facing his back is moving with a speed of V m/s. Another person is following the mirror at the speed of u m/s. What is the speed of approach of the person to the image in the mirrors.
$(a)\;u-2v \\ (b)\;v-2u \\ (c)\;v-u \\ (d)2(u-v)$
The speed with which the person following is approaching the mirror is
$(u-v) m/s$
$\therefore$ the speed with which he is approaching his image in the mirror is $2 (u-v) m/s$
Hence d is the correct answer.
|
2017-04-25 10:37:06
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| 140
|
https://webwork.libretexts.org/webwork2/html2xml?answersSubmitted=0&sourceFilePath=Library/270/setDerivatives1_5Tangents/ur_dr_1_5_7.pg&problemSeed=123567&courseID=anonymous&userID=anonymous&course_password=anonymous&showSummary=1&displayMode=MathJax&problemIdentifierPrefix=102&language=en&outputformat=sticky
|
If find $f'( 5 )$.
$f'( 5 )$ =
Use this to find an equation of the tangent line to the curve $y = f(x)$ at the point $\left( 5 , {\textstyle\frac{25}{26}} \right)$.
An equation of the tangent line is $y$ = .
Your overall score for this problem is
|
2020-06-06 02:25:12
|
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| 78
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http://mathhelpforum.com/discrete-math/53848-how-many-bit-strings-there-length-6-less.html
|
# Thread: how many bit strings are there of length 6 or less
1. ## how many bit strings are there of length 6 or less
thank you in advance
2. For each n, there are $2^n$ bitstrings of length n.
So add them up!
|
2013-12-08 21:49:49
|
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| 60
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https://competitive-exam.in/questions/discuss/to-calculate-the-elasticity-of-demand-which-of
|
# To calculate the elasticity of demand, which of the following formula is used?:
Percentage change in demand Original demand
Proportionate change in demand Proportionate change in price
Change in demand Change in price
None of the above
Please do not use chat terms. Example: avoid using "grt" instead of "great".
|
2021-03-06 13:44:37
|
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8061245679855347, "perplexity": 4737.925125061549}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-10/segments/1614178375096.65/warc/CC-MAIN-20210306131539-20210306161539-00588.warc.gz"}
| 69
|
https://homework.cpm.org/category/CCI_CT/textbook/pc3/chapter/11/lesson/11.2.5/problem/11-154
|
### Home > PC3 > Chapter 11 > Lesson 11.2.5 > Problem11-154
11-154.
Suppose $g(x) = 3^x$. Approximate the instantaneous rate of change at $x = 2$ to the nearest $0.001$.
$\lim\limits_{h\to 0} \frac{g(2+h)-g(2)}{(2+h)-2} =\frac{3^{2+h}-3^2}{h}$
Use a calculator to approximate the IROC.
|
2020-05-27 01:00:58
|
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| 116
|
https://brilliant.org/problems/is-the-momentum-conserved/
|
# Is the Momentum conserved?
Classical Mechanics Level 2
A particle of mass 1 kg is projected at an angle of 30 degrees with horizontal with velocity v = 40 m/s. The change in linear momentum of the particle after t = 1s will be ? (g = 10 m/s^2)
×
|
2016-10-28 17:54:56
|
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| 69
|
https://www.gradesaver.com/textbooks/math/calculus/university-calculus-early-transcendentals-3rd-edition/chapter-9-section-9-3-the-integral-test-exercises-page-504/18
|
## University Calculus: Early Transcendentals (3rd Edition)
Since, we have $\Sigma_{n=1}^\infty \dfrac{-8}{n}=-8\Sigma_{n=1}^\infty \dfrac{1}{n}$ Here, the given series is a harmonic series with partial sums not bounded. and, since $\Sigma_{n=1}^\infty \dfrac{1}{n}$ diverges, so does our sum. Hence, the given series diverges.
|
2021-04-17 09:33:33
|
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| 109
|
https://brilliant.org/problems/recursive-sequence/
|
Recursive Sequence
A sequence $$\{ a_i\}$$is defined by the recurrence relation $$a_{n} = 40 - 4a_{n-1}$$ with $$\ a_0 = -4$$. There exists real valued constants $$r, s$$ and $$t$$ such that $$a_i = r \cdot s^i + t$$ for all non-negative integers $$i$$. Determine $$r^2+s^2+t^2$$.
×
|
2017-03-28 13:58:24
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9855068325996399, "perplexity": 131.13254650500204}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-13/segments/1490218189771.94/warc/CC-MAIN-20170322212949-00254-ip-10-233-31-227.ec2.internal.warc.gz"}
| 100
|
https://socratic.org/questions/58e7c6be7c01490e3eb3cd1d
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# Question #3cd1d
You can't convert ${\text{g/cm}}^{3}$ directly to $\text{g/mol}$, if that is really what you mean there must be more information provided. If meant to convert to $\text{g/mL}$ there's a simple conversion factor $1 \text{cm"^3=1"mL}$, so $X \text{g/cm"^3times(1"cm"^3)/(1"mL")=X"g/mL}$
|
2019-11-14 13:17:47
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6262333393096924, "perplexity": 329.71224070031593}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-47/segments/1573496668525.62/warc/CC-MAIN-20191114131434-20191114155434-00380.warc.gz"}
| 105
|
https://www.albert.io/ie/trigonometry/area-triangle-law-cosines-three-known-sides
|
?
Free Version
Difficult
Area, Triangle, Law Cosines, Three Known Sides
TRIG-WV7OAE
If you are given a triangular piece of wood with the following dimensions, $11\;cm,\;18\;cm\;$ and $\;20\;cm$, what is the area of that piece of wood to the nearest square cm?
A
$98.4\; sq.\; cm$
B
$150.8\; sq.\; cm$
C
$117.4\; sq.\; cm$
D
$178.3\; sq.\; cm$
|
2016-12-08 08:01:39
|
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| 130
|
https://www.mathimatikoi.org/forum/viewtopic.php?f=27&t=1227&view=print
|
Page 1 of 1
Dobiński’s formula
Posted: Sat Aug 12, 2017 4:29 pm
Let $n \in \mathbb{N}$ and $\mathcal{B}_n$ denote the $n$ - th Bell number. Prove that
$$\sum_{k=0}^{\infty} \frac{k^n}{k!}=\mathcal{B}_n \cdot e$$
|
2020-09-26 19:34:03
|
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| 96
|
https://collegephysicsanswers.com/openstax-solutions/cyclotron-accelerates-charged-particles-shown-figure-2270-using-results-previous
|
Question
A cyclotron accelerates charged particles as shown in Figure 22.70. Using the results of the previous problem, calculate the frequency of the accelerating voltage needed for a proton in a 1.20-T field.
Question Image
$18.3 \textrm{ MHz}$
Solution Video
|
2019-02-17 01:11:01
|
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| 63
|
https://itectec.com/ubuntu/ubuntu-resolving-dependencies-related-to-32-bit-libraries-on-64-bit/
|
# Ubuntu – Resolving dependencies related to 32 bit libraries on 64 bit
I am struggling to make a 32bit application (related to adobe AIR)
work on my 64bit Ubuntu system. The application starts fine but there
is no sound. After running the application from the terminal, I've
noticed the following error messages:
/usr/lib/gtk-2.0/2.10.0/menuproxies/libappmenu.so: wrong ELF class: ELFCLASS64
Gtk-WARNING **: Failed to load type module:
|
2021-11-28 21:29:31
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.1948835551738739, "perplexity": 10219.34236077519}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964358591.95/warc/CC-MAIN-20211128194436-20211128224436-00404.warc.gz"}
| 114
|
http://mathhelpforum.com/latex-help/120991-latex-title-box.html
|
# Math Help - latex in the title box
1. ## latex in the title box
is there a way to apply the latex in the title box
be nice if our equations and such could be the same in the title
as in the post.
no big though just more decorative
2. Put the raw code, it should be sufficient
The title is a kind of summary, so you don't have to put many things.
3. I don't think it'd help much, just be over the top so to speak. You can hover over a title to see some text anyway
|
2014-04-21 13:20:41
|
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| 120
|
http://www.maplesoft.com/support/help/MapleSim/view.aspx?path=Task/PlotFunctionAndDerivatives
|
Plot a Function and Its Derivatives - Maple Help
Home : Support : Online Help : Tasks : Calculus - Differential : Derivatives : Task/PlotFunctionAndDerivatives
Plot a Function and Its Derivatives
Description Plot a function and its derivatives in a specified interval.
Graph of $f,f\prime ,$and $f″$in a Specified Interval Enter the function $f\left(x\right)$ to be studied, and the interval on which to plot it. $f\left(x\right)=$ Interval: [ , ]
Commands Used
|
2016-05-24 08:01:13
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 11, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9115176796913147, "perplexity": 1875.0760143739526}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-22/segments/1464049270513.22/warc/CC-MAIN-20160524002110-00121-ip-10-185-217-139.ec2.internal.warc.gz"}
| 122
|
http://web.emn.fr/x-info/sdemasse/gccat/Knon-deterministic%20automaton.html
|
3.7.157. Non-deterministic automaton
A constraint for which the catalogue provides a non -deterministic automaton without counters and without array of counters. For the mentioned constraints it turn out that non -determinism is due to the fact that we introduce transitions labelled by the potential values of a counting variable to a single final state (i.e., see Figures 5.16.4, 5.49.4, and 5.298.4).
|
2019-04-23 20:29:36
|
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| 101
|
https://collegephysicsanswers.com/openstax-solutions/write-complete-decay-equation-given-nuclide-complete-aztextrmxn-notation-refer-0
|
Question
Write the complete decay equation for the given nuclide in the complete $^A_Z\textrm{X}_N$ notation. Refer to the periodic table for values of Z:
$\beta^+$ decay of $^{50}\textrm{Mn}$
|
2019-10-16 04:16:38
|
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| 56
|
https://socratic.org/questions/how-is-water-represented-in-liquid-phase
|
# How is water represented in liquid phase?
${H}_{2} O \left(l\right)$
$l$ stands for liquid, as $s$ stands for solid (ice in the case of water) and $g$ for gas (water vapour).
|
2020-11-25 06:18:21
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| 54
|
https://socratic.org/questions/what-are-the-critical-points-of-f-x-2x-3-3x-2-12x
|
# What are the critical points of f(x) = 2x^3-3x^2-12x?
Oct 28, 2015
The critical points are $- 1$ and $2$.
$f ' \left(x\right) = 6 {x}^{2} - 6 x - 12 = 6 \left({x}^{2} - x - 2\right)$
So. to find its zeros, we must look for the zeroes of $\left({x}^{2} - x - 2\right)$, which are $- 1$ and $2$. So, these are the critical points of $f \left(x\right)$.
|
2019-06-16 23:06:41
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7205237150192261, "perplexity": 151.99957036358055}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-26/segments/1560627998325.55/warc/CC-MAIN-20190616222856-20190617004856-00522.warc.gz"}
| 150
|
https://planetmath.org/DouadyRabbit
|
The Douady rabbit is a Julia set (http://planetmath.org/SetDeJulia) produced by
$c=-\frac{1}{8}+\frac{3}{4}i.$
As the Mandelbrot set indicates, the real part can be varied to as much as $-.2$ while the imaginary part can be varied to as much as $.75i$ and still produce a connected set.
Title Douady rabbit DouadyRabbit 2013-03-22 17:15:51 2013-03-22 17:15:51 PrimeFan (13766) PrimeFan (13766) 5 PrimeFan (13766) Example msc 28A80
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2018-12-16 05:56:10
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 3, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8650767207145691, "perplexity": 2832.5377282845616}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-51/segments/1544376827281.64/warc/CC-MAIN-20181216051636-20181216073636-00399.warc.gz"}
| 148
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https://genealogy.math.ndsu.nodak.edu/id.php?id=20652
|
## Per Sjölin
Ph.D. Uppsala Universitet 1971
Dissertation: Operators Connected with Convolution and Summation of Fourier Series and Fourier Integrals
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2022-08-15 04:45:47
|
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| 39
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https://byjus.com/question-answer/for-a-given-material-the-young-s-modulus-is-2-4-times-that-of-rigidity-3/
|
Question
# For a given material, the Young's modulus is $$2.4$$ times that of rigidity modulus. Its poisson's ratio is.
A
2.4
B
1.2
C
0.4
D
0.2
Solution
## The correct option is D $$0.2$$$$Y=2\eta(1+\sigma)$$$$\Rightarrow 2.4\eta =2\eta(1+\sigma)$$$$\Rightarrow 1.2=1+\sigma$$$$\Rightarrow \sigma=0.2$$Physics
Suggest Corrections
0
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2022-01-28 17:12:52
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6550741195678711, "perplexity": 6016.029927225582}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-05/segments/1642320306301.52/warc/CC-MAIN-20220128152530-20220128182530-00074.warc.gz"}
| 139
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https://xojoc.pw/project-euler/6
|
#Skip to menu
## Sum square difference
First read the problem description.
We know that the formula for the sum of squares is $$\sum_{k=1}^{n} k^2 = \frac{2n^3 + 3n^2 + n}{6}$$ and that $$\sum_{k=1}^{n} k = \frac{n*(n+1)}{2}$$ (see Arithmetic progression). So we simply need to do $$\sum_{k=1}^{n}k^2 - (\sum_{k=1}^{n}k)^2 = \frac{3n^4 + 2n^3 - 3n^2 - 2n}{12}$$
def equation(n):
return (3*n**4 + 2*n**3 - 3*n**2 - 2*n) // 12
equation(100)
25164150
Source code of the solution(s):
|
2020-03-29 08:50:20
|
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| 203
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https://plainmath.net/10934/empty-tank-storing-water-from-borehole-volume-filled-pumps-water-hours
|
Question
# An empty tank for storing water from a borehole has a volume of 480 m³. If it is filled by a pump that pumps water at a rate of 16 l/s, how many hours will it take the pump to fill this tank?
Equations, expressions, and inequalities
First, we convert the rate to $$\displaystyle\frac{{m}^{{3}}}{{h}}{r}$$: $$(16)$$
|
2021-08-02 05:39:29
|
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| 95
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http://cdm.link/2015/06/8-bit-remake-hasselhoffs-true-survivor-best-thing-weve-heard-week/
|
Okay, we hit some sort of nerd singularity just now. Start with David Hasselhoff’s cheeky, cheesy “True Survivor.” Remake it on the 8-bit SidTracker 64 app. You’ll swear all of this actually happened in the 80s, even if it didn’t. Retrorgasm.
And yes, this gem is included in the app.
Musical arrangement: Fredrik Segerfalk
|
2018-08-22 03:55:29
|
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| 88
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http://clay6.com/qa/38089/the-base-radius-of-a-right-circular-cone-and-those-of-a-cylinder-are-same-t
|
Browse Questions
Home >> AIMS
# The base radius of a right circular cone and those of a cylinder are same . Their volumes are in the ratio
$(a)\;1 : 1\qquad(b)\;1 : 2\qquad(c)\;1 : 3\qquad(d)\;3 : 1$
Answer : $\;1 : 3$
The base radius of a right circular cone and those of a cylinder are same . Their volumes are in the ratio 1:3
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2017-02-23 07:38:15
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| 110
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https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-2-section-2-5-compound-inequalities-exercise-set-page-94/30
|
## Intermediate Algebra (6th Edition)
$(6,12)$
$-2 \lt \frac{1}{2}x-5 \lt 1$ Using inequality properties, multiply all parts by 2. $2(-2) \lt 2(\frac{1}{2}x-5) \lt (1) 2$ $-4 \lt 2(\frac{1}{2}x-5) \lt 2$ Using distributive property, $-4 \lt 2(\frac{1}{2}x)-2(5) \lt 2$ $-4 \lt x-10 \lt 2$ Add 10 to all parts, $-4+10 \lt x-10+10 \lt 2+10$ $6 \lt x\lt 12$ Interval Notation: $(6,12)$
|
2018-06-25 13:32:37
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| 184
|
http://mathematica.stackexchange.com/tags/experimental-mathematics/new
|
# Tag Info
3
This is a problem known as finding moments of moments. In this case, we seek the covariance (i.e. the $\mu_{1,1}$ central moment) of various sample moments. The modus operandi for solving such problems is to work with power sum notation $s_r$, namely: $$s_r = \sum_{i=1}^n X_i^r$$ In this case, you are interested in the sample mean $= \frac{s_1}{n}$, and ...
Top 50 recent answers are included
|
2015-04-28 18:18:15
|
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| 116
|
https://brilliant.org/problems/which-function-is-this/
|
# Which function is this?
Algebra Level 4
Let $$f: \mathbb{R} \rightarrow [\frac{1}{2}, 1 ]$$ and $f\left(x+2\right)= \frac{1}{2} +\sqrt{f\left(x\right)-f\left(x\right)^2}$ Then which among the following is always true?
×
|
2019-04-21 09:22:30
|
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| 83
|
http://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition/chapter-r-review-of-basic-concepts-r-6-rational-exponents-r-6-exercises-page-64/89
|
## Precalculus (6th Edition)
$\color{blue}{k^{-2}(4k+1)}$
The least exponent of the variable is $-2$. Factor out $k^{-2}$ to obtain: $=\color{blue}{k^{-2}(4k+1)}$
|
2018-04-21 17:52:52
|
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| 61
|
http://community.rapidminer.com/t5/RapidMiner-Studio-Forum/the-definition-of-deviation/td-p/923
|
Contributor
# the definition of deviation
Dear Rapid-I users.
I am really confused at the value following the "+/-" sign when evaluatnig the performance in accuracy or area under curve. Is it standard deviation, confidence interval , or something else ? Is there anyway to find out ? Some comment/suggestion , please ?
Thanks,
Kevin
|
2017-05-25 03:22:14
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| 71
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https://brilliant.org/problems/trigonometry-18-2/
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# Trigonometry! #59
Geometry Level 3
A round balloon of radius $$\frac {r}{2}$$ subtends an angle $$\alpha$$ at the eye of the observer while the angle of elevation of its centre is $$2\beta$$, then the height of the balloon is equal to which of the options?
This problem is part of the set Trigonometry.
×
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2016-10-23 14:32:43
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| 82
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https://aliquote.org/micro/2019-06-29-09-00-38/
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Is there a style convention for Common Lisp recursive helper functions?. Interesting SO thread of GP in writing CL. #lisp
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2019-07-21 16:48:54
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| 24
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https://lakschool.com/index.php/en/math/real-functions/non-rational-functions
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Math Real functions Non-rational functions
# Non-rational functions
In non-rational functions , besides the rational ones, there are also additional arithmetic operations (for example square roots, logharithms, etc.).
You should know the following non-rational functions:
Square root functions
Trigonometric functions
Exponential functions
Logarithmic functions
### Examples
Other examples of non-rational functions are:
• $f(x)=5\cdot\sin(x)$
• $f(x)=\sqrt{x}$
• $f(x)=12\cdot2^{x-1}$
|
2021-06-21 01:38:59
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| 121
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http://journeydots.com/sixties-baby
|
Sixties Baby
The strength of a mother
One life, one journey, one dot at a time... making sense of it all from the inside, out.
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2020-02-29 09:00:40
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| 33
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https://en.wikipedia.org/wiki/Talk:Bounded_inverse_theorem
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# Talk:Bounded inverse theorem
• The completion of the example space X is l-infinity. However, in this case, the map T is not onto (and thus not bijective). So, for example, the sequence ${\displaystyle a_{n}=1}$ is in l-infty, but is not in the range of T.
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2018-05-26 14:18:41
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| 71
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https://www.gradesaver.com/textbooks/math/algebra/college-algebra-11th-edition/chapter-r-review-exercises-page-75/56
|
## College Algebra (11th Edition)
$8r^2+26rs-99s^2$
Using the $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method and the laws of exponents, the given expression, $(2r+11s)(4r-9s) ,$ simplifies to \begin{array}{l}\require{cancel} 2r(4r)+2r(-9s)+11s(4r)+11s(-9s) \\\\= 8r^2-18rs+44rs-99s^2 \\\\= 8r^2+26rs-99s^2 .\end{array}
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2018-11-20 07:42:46
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| 149
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https://plainmath.net/8862/simplify-the-expression-4-3-plus-4x
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# Simplify the expression 4×3+4x
Simplify the expression $4×3+4x$
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Nathalie Redfern
Since $4×3=12$,
then
$4×3+4x=12+4x$
The expression cannot be simplified further since 12 and 4x are not like terms so they cannot be combined.
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2022-08-08 22:11:49
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| 127
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https://www.calcufox.com/eng/5014.html
|
Initial Data
$$ax^{2}+bx+c=0$$
a=
b=
c=
$$x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$$
x1=
x2=
A quadratic equation is a polynomial equation of the second degree (known as early as 2000 BC), where x represents an unknown, and a, b, and c known numbers.
|
2022-07-05 01:19:43
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| 88
|
https://answers.ros.org/answers/189996/revisions/
|
# Revision history [back]
Ubuntu 14.04 - ROS Indigo
This is because the depth_registration option is not selected.
Start rqt_reconfigure
rosrun rqt_reconfigure rqt_reconfigure
Select the driver from the left side and activate the depth_registration option.
You should now be able to see the registered rgbd pointcloud in rviz.
|
2021-06-21 11:14:39
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| 75
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http://www.ams.org/mathscinet-getitem?mr=1750311
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MathSciNet bibliographic data MR1750311 11T55 (11P05) Gallardo, Luis On the restricted Waring problem over \$\bold F_{2^n}[t]\$$\bold F_{2^n}[t]$. Acta Arith. 92 (2000), no. 2, 109–113. Journal
For users without a MathSciNet license , Relay Station allows linking from MR numbers in online mathematical literature directly to electronic journals and original articles. Subscribers receive the added value of full MathSciNet reviews.
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2017-01-24 12:51:58
|
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| 115
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http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-1-vocabulary-check-page-41/8
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# Chapter 1 - Vocabulary Check: 8
reciprocals
#### Work Step by Step
No work is needed. $a$ $\ne$ 0 because it will create an undefined fraction.
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
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2017-02-21 05:55:46
|
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| 76
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https://brilliant.org/problems/thats-nifty/
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# That's nifty
$11*121=1331$. Is it possible to exchange a pair of digits such that the product's value raises by one ?
×
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2021-06-18 18:33:03
|
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| 34
|
https://brilliant.org/problems/if-only-i-could-see-in-81-dimensions-this-would-be/
|
# If Only I Could See In 81 Dimensions, Then This Would Be Easy
Algebra Level 5
Given 81 variables that satisfy
$0 \leq a_1 \leq a_2 \leq \ldots \leq a_{81} \leq 1,$
what is the maximum value of
$\left[ 9 \sum_{i=1}^{81} a_i ^2 \right] + \left[ \sum_{1 \leq j < k \leq 81 } ( a_k - a_j + 1)^2 \right] ?$
×
Problem Loading...
Note Loading...
Set Loading...
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2018-01-18 14:01:34
|
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| 139
|
http://www2.macaulay2.com/Macaulay2/doc/Macaulay2-1.19/share/doc/Macaulay2/FiniteFittingIdeals/html/_quot__Scheme.html
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# quotScheme -- Calculates the defining equations for Quot schemes of points
## Synopsis
• Usage:
quotScheme(Q,n,L)
• Inputs:
• Outputs:
## Description
The Quot scheme of n points of \mathcal{O}^p on \mathbb{P}^r embeds as a closed subscheme of the Grassmannian of rank n quotients of a push forward of \mathcal{O}(d)^p. This function gives the defining equations of this closed subscheme.
i1 : S=ZZ[x_0,x_1]; i2 : quotScheme(S^2,1,{0}) o2 = ideal(a a - a ) 2 3 4 o2 : Ideal of ZZ[a ..a ] 1 4
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2023-02-03 13:33:47
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7142711281776428, "perplexity": 2573.6546763942315}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-06/segments/1674764500056.55/warc/CC-MAIN-20230203122526-20230203152526-00350.warc.gz"}
| 160
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http://www.ncatlab.org/nlab/show/binary+digit
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# nLab binary digit
A binary digit, or bit, is either $0$ or $1$.
The set of binary digits is the boolean domain $\mathbb{B}$.
As a unit of information, a bit is the amount of information needed to specify which of the $2$ possibilities a given binary digit is. In natural units, a bit is $ln 2$.
Created on September 13, 2010 19:14:03 by Toby Bartels (64.89.62.209)
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2015-05-07 01:35:13
|
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| 109
|
http://crypto.stackexchange.com/tags/zero-knowledge-proofs/hot?filter=week
|
# Tag Info
3
The description of this "kid zero knowledge" example follows the strucure of how interactive proofs that are zero-knowledge usually work: The prover sends a commitment (walks into one of the two sides) The verifier challenges the prover (tosses the coin to decide which side the prover should walk out) The prover gives a response (walks out the side the ...
Only top voted, non community-wiki answers of a minimum length are eligible
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2014-03-12 15:21:43
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| 101
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https://socratic.org/questions/how-do-you-write-0-00769-in-scientific-notation
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How do you write 0.00769 in scientific notation?
$0.00769 = 7.69 \times {10}^{-} 3$
$0.00769 = 7.69 \times {10}^{-} 3$
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2019-10-20 11:19:11
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| 53
|
https://stats.stackexchange.com/questions/424252/how-to-decide-the-boundary-of-a-2d-kd-tree
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# How to decide the boundary of a 2d kd-tree?
People often cites this figure when talking about k-d tree
in the context of plotting, this is a $$10 \times 10$$ square, considering this particular dataset, the maximum of x axis is 9, the minimum is 2, [1,7] along the y axis.
is there a rule or algorithm to induce the $$10 \times 10$$ square based on the dataset?
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2020-04-03 02:54:49
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| 96
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https://questioncove.com/updates/542ee383e4b032bb1c8221b9
|
OpenStudy (anonymous):
The balance of a loan is $2,570 in January, and the monthly payment is$125.50. The relationship between the loan balance, y, and the number of monthly payments made since January, x, can be represented by the equation y = 2,570 - 125.50x. In what months does the loan balance, y, meet the condition, $1,600 < y <$2,000?
OpenStudy (anonymous):
hey mail me na
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2017-08-21 14:01:35
|
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| 102
|
https://socratic.org/questions/how-do-you-find-the-derivative-of-2-sin-x-sin-2x
|
# How do you find the derivative of 2 sin x + sin 2x?
By using $\mathrm{ds} \in u = \mathrm{du} \cos u$
$f \left(x\right) = 2 \sin x + \sin 2 x$
$f ' \left(x\right) = 2 \cos x + 2 \cos 2 x$
|
2022-07-06 02:03:48
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| 81
|
https://socratic.org/questions/what-is-the-oxidation-number-of-s-in-h2so3
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# What is the oxidation number of S in H2SO3?
$+ 4$
So we have 2 hydrogen which each has a charge of $+ 1$, and we have 3 oxygen which each has a charge of $- 2$. If we cancel these out we would have that sulfur should have a charge of $+ 4$ to give a total charge of $0$.
|
2022-08-10 15:15:57
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| 82
|
https://socratic.org/questions/a-weather-balloon-has-a-maximum-volume-of-7-50-10-3-l-the-balloon-contains-195-l
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# A weather balloon has a maximum volume of 7.50 * 10^3 L. The balloon contains 195 L of helium gas at a pressure of 0.993 atm. What will be the pressure when the balloon is at maximum volume?
Approx. $0.03 \cdot a t m \ldots \ldots \ldots$
We use old $\text{Boyle's Law}$, ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$ at constant temperature.
And we solve for ${P}_{2} = \frac{{P}_{1} {V}_{1}}{V} _ 2 = \frac{195 \cdot L \times 0.993 \cdot a t m}{7.5 \times {10}^{3} L}$
$= 2.58 \times {10}^{-} 2 \cdot a t m .$
|
2022-01-28 18:59:44
|
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| 193
|
https://cinc.rud.is/web/packages/cdccovidview/reference/laboratory_confirmed_hospitalizations.html
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This function grabs all data for all networks, catchments, seasons, and ages. In the future there will be ways of selecting just the desired target areas.
laboratory_confirmed_hospitalizations()
data frame
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2021-12-05 05:33:28
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| 43
|
https://heart.bmj.com/highwire/markup/97842/expansion?width=1000&height=500&iframe=true&postprocessors=highwire_tables%2Chighwire_reclass%2Chighwire_figures%2Chighwire_math%2Chighwire_inline_linked_media%2Chighwire_embed
|
Table 2
Scores for the SF-36 questionnaire of nine patients (A to I) compared with a reference population matched for age and sex
• Normal score was defined as within 1 SD of the mean of the reference population.
• Patient H suffers from aortic regurgitation and patient I from asthma.
|
2020-09-25 08:05:57
|
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| 64
|
https://web2.0calc.com/questions/fractions_23623
|
+0
# Fractions
0
42
1
On Parents Day John gave his mother 2 blue flowers, 1 pink flower, and 5 white flowers. What fraction of the flowers is blue? Pink? White? Order the fractions from the greatest to the least.
Feb 18, 2022
#1
+1382
+1
Blue: $$2 \over 8$$
Pink: $$1 \over 8$$
White: $$5 \over 8$$
You can reorder them from here...
Feb 18, 2022
#1
+1382
+1
Blue: $$2 \over 8$$
Pink: $$1 \over 8$$
White: $$5 \over 8$$
You can reorder them from here...
BuilderBoi Feb 18, 2022
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2022-05-25 02:44:39
|
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| 185
|
https://socratic.org/questions/how-do-you-complete-the-square-to-find-the-vertex-for-y-x-2-3x-2
|
# How do you complete the square to find the vertex for y=x^2-3x+2?
To complete the square half the coefficient of x, that is $- \frac{3}{2}$, then square it, that is $\frac{9}{4}$. Now add and subtract it to the expression as follows:
y=${x}^{2} - 3 x + \frac{9}{4} - \frac{9}{4} + 2$
=${\left(x - \frac{3}{2}\right)}^{2} - \frac{1}{4}$. That is how 'complete the square' is done.
Vertex is $\left(\frac{3}{2} , - \frac{1}{4}\right)$
|
2020-06-02 10:25:07
|
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| 159
|
https://www.calculus-online.com/exercise/4444
|
# Analytical Geometry – Calculate a point of intersection between a line and a plain- Exercise 4444
Exercise
Calculate the intersection point of the line
$$\frac{x+4}{1}=\frac{y-1}{2}=\frac{z+1}{-1}$$
And the plain
$$2x+3y-z=5$$
$$(-3,3,-2)$$
|
2020-05-28 22:09:51
|
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| 86
|
https://socratic.org/questions/how-do-you-graph-2sinx-2
|
# How do you graph -2sinx+2?
$- 2 \sin x + 2$ can be graphed by starting with $\sin x$
The $- 2$ tells us two things: (a) the amplitude is 2, and (b) the graph of $\sin x$ is reflected over the x-axis . Finally, the +2 shifts the entire graph vertically upward 2 units.
|
2023-02-01 13:15:00
|
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| 87
|
http://finmath.net/finmath-lib/apidocs/net/finmath/integration/package-summary.html
|
finMath lib documentation
Package net.finmath.integration
Provides algorithms for numerical integration and wrappers to libraries with algorithms for numerical integration.
See: Description
Package net.finmath.integration Description
Provides algorithms for numerical integration and wrappers to libraries with algorithms for numerical integration.
Author:
Christian Fries
|
2018-12-14 23:32:04
|
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| 59
|
http://mathhelpforum.com/calculus/62883-line-integral-question.html
|
Line Integral Question
Let C be the straight path from (0,0) to (5,5) and let F=(y - x + 2)i + (sin(y-x) - 2)j:
a) At each point of C, what angle does F make with a tangent vector C?
b) Evaluate
|
2015-03-06 18:24:40
|
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| 67
|
https://brilliant.org/discussions/thread/evaluating-functions/
|
×
# Evaluating Functions
We evaluate a function at a particular value. If the function $$f(x) = x^3 + x + 1$$ is evaluated at $$x = -2$$, we denote this as $$f(-2$$.
In this case, that would require replacing every instance of $$x$$ in the function's definition with the value to be evaluated, like this:
$f(-2) = (-2)^3 + (-2) + 1 = -8 -2 +1 = -9.$
Note by Arron Kau
2 years, 5 months ago
|
2017-01-19 13:05:41
|
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| 125
|
https://brilliant.org/problems/2015-countdown-problem-12-sums-of-consecutive/
|
# 2015 Countdown Problem 12: Sums of consecutive numbers
How many integers between 2 and 2015 inclusive cannot be expressed as a sum of at least two consecutive positive integers?
×
|
2017-07-26 01:00:42
|
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| 41
|
https://www.esaral.com/q/solve-the-following-50948
|
# Solve the following :
Question:
A sphere starts rolling down an incline of inclination $\theta$. Find the speed of its centre when it has covered a distance $\mathrm{I}$.
Solution:
By energy conservation,
$m g(l \sin \theta)=\frac{1}{2} I \omega^{2}+\frac{1}{2} m v^{2}$
$m g l \sin \theta=\frac{1}{2}\left(\frac{2}{5} m R^{2}\right)\left(\frac{v^{2}}{R^{2}}\right)+\frac{1}{2} m v^{2}$
$v=\sqrt{\frac{10}{7} g l \sin \theta}$
|
2023-02-06 19:08:52
|
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| 153
|
https://socratic.org/questions/what-is-the-the-vertex-of-y-x-2-3x-6
|
# What is the the vertex of y =-x^2-3x-6 ?
Apr 10, 2018
$\left(- \frac{3}{2} , - \frac{3}{2}\right)$
#### Explanation:
$\frac{- b}{2 a}$ is the $x$ coordinate at this point
$\frac{- - 3}{2 \times - 1}$ =$\frac{3}{- 2}$
Put this value into the equation to find the $y$ value
${\left(- \frac{3}{- 2}\right)}^{2} - 3 \times \left(\frac{3}{- 2}\right) - 6$
= $\frac{9}{4} + \frac{9}{4} - 6$= $\frac{18}{4} - 6$
=$- \frac{3}{2}$
|
2021-09-18 17:28:26
|
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| 190
|
https://collegephysicsanswers.com/openstax-solutions/car-sliding-down-hill-slope-20circ-mass-car-965-kg-when-cable-used-pull-car
|
Question
A car is sliding down a hill with a slope of $20^\circ$. The mass of the car is 965 kg. When a cable is used to pull the car up the slope, a force of 4215 N is applied. What is the car’s acceleration, ignoring friction?
$1.02 \textrm{ m/s}^2$ up the slope.
|
2019-12-13 15:13:31
|
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| 80
|
https://socratic.org/questions/how-do-you-write-y-16x-2-40x-4-into-vertex-form
|
# How do you write y = -16x^2+40x+4 into vertex form?
May 7, 2015
Vertex form for a parabola is
$y = m {\left(x - a\right)}^{2} + b$
with the vertex at $\left(a , b\right)$
Re-arranging $y = 16 {x}^{2} + 40 x + 4$ into vertex form:
$y = - 16 \left({x}^{2} - \frac{5}{2} x\right) + 4 \text{ extract the "m" factor}$
$y = - 16 \left({x}^{2} - \frac{5}{2} x + {\left(\frac{5}{4}\right)}^{2}\right) + 25 + 4 \text{ complete the square}$
$y = - 16 {\left(x - \frac{5}{4}\right)}^{2} + 29$
|
2020-07-15 06:23:19
|
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| 217
|
https://www.lewuathe.com/intellij%20idea/red-j-in-intellij-idea.html
|
# Red J in IntelliJ IDEA
In some cases when I use IntelliJ IDEA for Java projects, I faced this red J mark.
This mark means these files are not included current project. So indexes of these files are not generated and search functionality does not work. How can we solve this problem?
So in this wizard, only you have to do is + and add a missing module into your projects. That’s all.
|
2022-10-03 21:28:15
|
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| 84
|
https://learn.careers360.com/engineering/question-i-have-a-doubt-kindly-clarify-if-a-set-a-has-8-elementshow-many-subsets-class-a-have/
|
Q
# I have a doubt, kindly clarify. If a set A has 8 elements,How many subsets class A have?
If a set A has 8 elements,How many subsets class A have?
• Option 1)
127
• Option 2)
255
• Option 3)
511
• Option 4)
1023
104 Views
As we learnt
Proper Subset -
Let A and b be two sets if A $\subset$ B and A $\neq$ B. Then A is a proper subset of B
-
A set with n elements has $2^{n}-1$ subsets
Option 1)
127
Option 2)
255
Option 3)
511
Option 4)
1023
Exams
Articles
Questions
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2020-02-19 17:07:37
|
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| 167
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https://www.gradesaver.com/textbooks/math/geometry/CLONE-68e52840-b25a-488c-a775-8f1d0bdf0669/chapter-8-section-8-4-circumference-and-area-of-a-circle-exercises-page-373/16
|
## Elementary Geometry for College Students (6th Edition)
Given the area of the circle = 56.35 $in^{2}$ to find the approximate lengths of the radius and the diameter of a circle The area A of a circle whose radius has length r is given by A = $\pi r^{2}$ 56.35 = $\pi r^{2}$ $r^{2}$ = $\frac{56.35}{3.14}$ r = $\sqrt 17.94$ = 4.23 in The radius of the circle r = 4.23 in The diameter of the circle = 2 * r = 2 * 4.23 = 8.470 in
|
2021-03-01 20:12:49
|
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| 142
|
https://datascience.stackexchange.com/questions/25152/why-svm-classifier-error-is-much-smaller-than-knn-classifier-error
|
# Why SVM classifier error is much smaller than KNN classifier error?
I have a dataset with a binary classification, on which I train a kNN algorithm and a SVM algorithm.
On the tests set I get approximately 75% error when using kNN, but only approximately a 20% error using an SVM.
What does this tell me about the dataset?
|
2021-11-30 03:11:59
|
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| 73
|
https://byjus.com/question-answer/if-the-value-of-principal-quantum-number-is-3-the-total-possible-values-for-magnetic/
|
Question
# If the value of principal quantum number is 3, the total possible values for magnetic quantum number will be?
A
5
B
9
C
8
D
10
Solution
## The correct option is C 5The azimuthal quantum number $$(l) =n-1$$$$=3-1$$$$=2$$Therefore, the total possible values of magnetic quantum number (m) are$$m= 2l+1$$$$=2(2)+1$$$$=4+1$$$$m=5$$Chemistry
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2022-01-17 20:40:06
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{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.2912590503692627, "perplexity": 3591.4428275679065}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-05/segments/1642320300616.11/warc/CC-MAIN-20220117182124-20220117212124-00022.warc.gz"}
| 135
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http://www.gradesaver.com/textbooks/math/algebra/college-algebra-7th-edition/chapter-1-equations-and-graphs-section-1-10-modeling-variation-1-10-exercises-page-164/16
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## College Algebra 7th Edition
$S=kr^{2}\theta^{2}$
Since $S$ is directly proportional (jointly) to the square of $r$ and the square of $\theta$, we have:: $S=kr^{2}\theta^{2}$ (and $k$ is a constant.)
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2018-04-24 03:33:48
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| 68
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https://wp.sciviews.org/bookdown-test/special-blocks.html
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## 1.11 Special blocks
This is a note.
This is an information.
This is a warning.
This block can be used in case of error.
This is related to Windows.
This is related to MacOS.
This is related to Linux.
This is related to the BioDataScience package.
This is a block2 construct related to SciViews or SciViews::R:
• item 1
• item 2
• item 3
This is a section related to the SciViews Box
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2022-06-28 22:03:25
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{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7368515729904175, "perplexity": 7850.44030224994}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656103617931.31/warc/CC-MAIN-20220628203615-20220628233615-00005.warc.gz"}
| 102
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https://ask.libreoffice.org/en/answers/23227/revisions/
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# Revision history [back]
I see at least to options:
• Set up the page style for two columns, and insert every table in one column.
. Create a table with two columns / one row, and insert every table in one cell.
I see at least to options:
• Set up the page style for two columns, and insert every table in one column.
. Create a table with two columns / one row, and insert every table in one cell.
I think the easier and flexible to manage is the second one.
|
2019-09-23 13:30:19
|
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8335407376289368, "perplexity": 1652.6866198819182}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-39/segments/1568514576965.71/warc/CC-MAIN-20190923125729-20190923151729-00342.warc.gz"}
| 107
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http://clay6.com/qa/46326/h-2s-a-toxic-gas-with-rotten-egg-like-smell-is-used-for-the-qualitative-ana
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# $H_2S$, a toxic gas with rotten egg like smell, is used for the qualitative analysis. If the solubility of $H_2S$ in water at STP is 0.195 m, calculate Henry’s law constant.
282bar
Hence (A) is the correct answer.
|
2018-06-23 02:01:17
|
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.835835874080658, "perplexity": 1388.1851501058775}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-26/segments/1529267864919.43/warc/CC-MAIN-20180623015758-20180623035758-00337.warc.gz"}
| 66
|
https://math.stackexchange.com/questions/363091/limits-of-tetrations-of-infinite-height
|
# Limits of tetrations of infinite height
We know that tetrations of infinite height converge for $x$ such that $e^{-e} \le x \le e^{1/e}$. Which real numbers are limits of some tetration of infinite height? what is the complete set of such limits? thanks.
|
2019-05-25 08:01:10
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| 66
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http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-5-review-page-330/54
|
Intermediate Algebra (6th Edition)
Published by Pearson
Chapter 5 - Review: 54
8
Work Step by Step
Substitute 0 for x in the equation. 9$(0)^{2}$ - 7(0) + 8 = 0 - 0 + 8 = 8
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
|
2017-06-24 21:20:22
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| 100
|
http://techgtholpadi.blogspot.com/2014/10/using-latex-in-blogger.html
|
## Wednesday, October 1, 2014
### Using LaTeX in Blogger
I found this answer on tex.stackexchange about how to include LaTeX formulas on Blogger. It worked for me! Thanks to MathJax and Matthew!
|
2017-11-19 14:15:17
|
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9689443111419678, "perplexity": 6796.479393098598}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-47/segments/1510934805649.7/warc/CC-MAIN-20171119134146-20171119154146-00056.warc.gz"}
| 47
|
https://scikit-rf.readthedocs.io/en/stable/api/calibration/generated/skrf.calibration.calibration.UnknownThru.coefs_ntwks.html
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# skrf.calibration.calibration.UnknownThru.coefs_ntwks¶
UnknownThru.coefs_ntwks
Dictionary of error coefficients in form of Network objects
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2019-11-21 00:47:16
|
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| 35
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https://www.sarthaks.com/1231945/piece-having-resistance-equal-parts-resistance-each-part-combination-compare-original
|
# A piece of wire having resistance R is cut into four equal parts. (i) How will the resistance of each part combination compare with the original wir
36 views
in Physics
closed
A piece of wire having resistance R is cut into four equal parts.
(i) How will the resistance of each part combination compare with the original wire ?
by (71.7k points)
selected by
(i) R//4
(ii) R//16.
|
2023-03-26 22:14:04
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{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.17618662118911743, "perplexity": 2157.8395312147704}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296946535.82/warc/CC-MAIN-20230326204136-20230326234136-00592.warc.gz"}
| 93
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https://plainmath.net/1363/solve-differential-equation-dy-dx-equal-e-4x-y-3
|
Question
# Solve differential equation dy/dx = e^4x(y-3)
First order differential equations
Solve differential equation $$dy/dx = e^4x(y-3)$$
2020-10-26
$$dy/dx= e^{4x}(y-3)$$
$$dy/dx= (e^{4x})(y-3)$$
$$dy/((y-3))= (e^{4x})dx$$
$$\int 1/(y-3) dy= \int (e^{4x})dx$$
$$\ln(y-3)= e^{4x}/4+c$$
Apply exponential on both sides
$$e^{\ln(y-3)}= e^{(e^4x)/4+c)}$$
Thus, the solution of the given first order differential equation is
$$y= e^{(e^{4x}/4+c)}+3$$
|
2021-09-27 11:09:11
|
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| 198
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https://cameramath.com/es/expert-q&a/Algebra/13-Are-the-given-functions-inverses-Your-work-for-this-problem-will
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¿Todavía tienes preguntas de matemáticas?
Pregunte a nuestros tutores expertos
Algebra
Pregunta
13. Are the given functions inverses? (Your work for this problem will need $$4$$ points to be submitted at the end of the test) * $$f ( x ) = \frac { 8 - x } { 2 }$$ , $$g ( x ) = - 2 x + 8$$
Yes, they are inverses
No, they are not inverses
|
2022-05-21 16:28:50
|
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| 116
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https://ricerca.sns.it/handle/11384/59793
|
Measurement of the $pp \to ZZ$ production cross section and constraints on anomalous triple gauge couplings in four-lepton final states at $\sqrt s=$8 TeV
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2021-10-19 13:04:44
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{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9777132868766785, "perplexity": 3235.121543468682}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-43/segments/1634323585265.67/warc/CC-MAIN-20211019105138-20211019135138-00621.warc.gz"}
| 35
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https://stats.stackexchange.com/questions/309256/mar-assumption-missing-data
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# MAR Assumption missing data
I want to do predictions of missing data MAR. I do the simulations by generating normal data with 1 y and some x. after that I remove the data: Proportion of missing value from 5%, 10% to 50%. I use imputation mice. I would to ask, how much imputation should I do for each of the missing data proportions. I have not found literature about it. I just get the MCAR, the amount of imputation is as much as a lot of missing data.
|
2022-08-15 08:38:13
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| 112
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https://math.stackexchange.com/questions/930478/remainder-of-polynomials
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# Remainder of Polynomials
A polynomial $P(x)$ of degree $n \geq 2$ has a remainder of $9$ when it is divided by $(x+2)$ and a remainder of $-1$ when it is divided by $(x-3)$. Find the remainder of $P(x)$ when it is divided by $(x^2 -x-6)$.
We must have $$p(x)=(x^2-x-6)q(x)+a(x+2)+9=(x^2-x-6)q(x)+a(x-3)-1$$ solving for $a$ we get $a=-2$ so the remainder is $$-2x+5$$
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2019-11-13 19:39:14
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https://socratic.org/questions/how-do-you-solve-this-linear-equation-x-5-3-2
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How do you solve this linear equation x+5/3 =2?
Apr 29, 2018
$x = \frac{1}{3}$
Explanation:
You need to find the value of $x$.
Using basic arithmetic where $\frac{5}{3} = 1 \frac{2}{3}$
What must be added to $1 \frac{2}{3}$ to give an answer of $2$?
$\frac{1}{3}$ is needed to make a whole number.
Using an equation: isolate $x$
Subtract $1 \frac{2}{3}$ from both sides:
$x + 1 \frac{2}{3} - 1 \frac{2}{3} = 2 - 1 \frac{2}{3}$
$x = \frac{1}{3}$
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2019-11-15 07:04:15
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| 173
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https://web2.0calc.com/questions/domain_1843
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+0
# Domain
0
26
1
What is the domain of the real-valued function $f(x)=\dfrac{2x-7}{\sqrt{x^2-5x+4}}$?
Jun 7, 2022
I believe it's $$(-\infty,1)\cup(4,\infty)$$.
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2022-07-05 15:08:53
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http://www.ncatlab.org/nlab/show/classifying+morphism
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Yoneda lemma
# Contents
## Idea
A classifying map or classifying morphism for a given object is a morphism into a classifying space that classified this object.
## Examples
• For subobjects one typically speaks of characteristic maps or characteristic functions. The corresponding classifiyng space is a subobject classifier . See there for more.
Created on June 26, 2011 16:46:44 by Urs Schreiber (89.204.153.100)
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2013-06-18 05:26:31
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| 102
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https://www.bartleby.com/questions-and-answers/find-the-average-value-of-the-function-over-the-interval-f-x-9-x2-0-3-hint-use-geometry-to-evaluate-/fd1ca861-86b0-4dca-9415-6f722f2f0c9d
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# Find the average value of the function over the interval f (x) = 9 − x2, [0, 3] Hint: Use geometry to evaluate the integral.
Question
Find the average value of the function over the interval f (x) = 9 − x2, [0, 3] Hint: Use geometry to evaluate the integral.
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2021-07-25 13:59:28
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| 75
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