url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
http://www.boundaryvalueproblems.com/content/2013/1/137 | Research
# Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
Xiubo Shi1, Qiongfen Zhang1* and Qi-Ming Zhang2
Author Affiliations
1 College of Science, Guilin University of Technology, Guilin, Guangxi, 541004, P.R. China
2 College of Science, Hunan University of Technolog... | 2013-12-08T01:05:38 | {"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/ma... |
https://questioncove.com/updates/51a0d768e4b04449b2221955 | OpenStudy (anonymous):
In radioactive decay series, what is the particle or element of each in of following? Describe types of radiation given off in this series. 1. 92238U A + 24He 2. A 91234Pa + B 3. 91234Pa C + –10e 4. C 90230Th + 24He 5. 90230Th D + 24He 6. D 86222Rn + E 7. 86222Rn 84218Po + F 8. 842... | 2017-08-24T06:54:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/factoring-puzzle.249652/ | # Factoring puzzle
1. Aug 12, 2008
### kenewbie
factoring "puzzle"
For what values of "a" can the following be factored and reduced:
$$\frac {a^2 - 2x -3}{x^2 - 4x + a}$$
Ok, so the first thing on the list is to factor the top term.
$$x = \frac {-(-2) \pm \sqrt{(-2)^2 - 4 * 1 * (-3)} } {2 * 1}$$
The roots are 3... | 2017-11-19T12:55:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://techutils.in/blog/2020/08/02/stackbounty-algorithms-graphs-shortest-path-weighted-graphs-dag-shortest-path-in-a-directed-acyclic-graph-with-two-types-of-costs/ | # #StackBounty: #algorithms #graphs #shortest-path #weighted-graphs #dag Shortest Path in a Directed Acyclic Graph with two types of costs
### Bounty: 50
I am given a directed acyclic graph $$G = (V,E)$$, which can be assumed to be topologically ordered (if needed). The edges in G have two types of costs – a nominal ... | 2020-11-29T11:10:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jiskha.com/questions/1093914/find-the-limit-as-x-approaches-infinity-x-1-e-1-x-1-1 | # maths-calculus
find the limit as x approaches infinity, -(x+1) (e^(1/(x+1))-1)
1. 👍 0
2. 👎 0
3. 👁 106
1. If you let u = -(x+1), you have
u(e^(-1/u) - 1)
= (e^(-1/u) - 1) / (1/u)
Now using l'Hospital's Rule, that is the same as
(e^(-1/u) - 1)(1/u^2) / (1/u^2)
= e^(-1/u) - 1
-> 0-1 = -1
1. 👍 0
2. 👎 0
posted ... | 2020-02-25T08:41:01 | {"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/ma... |
http://forums.xkcd.com/viewtopic.php?p=2906236 | ## Some group theory questions
For the discussion of math. Duh.
Moderators: gmalivuk, Moderators General, Prelates
### Some group theory questions
I feel I must be a bit dense at not getting this one, but maybe it really is as hard as it appears to me to be. Wikipedia says that the group of real numbers R under add... | 2013-12-07T08:41:46 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/when-acids-and-bases-combine-you-get-what-kind-of-solution | # When acids and bases combine, you get what kind of solution?
$H C {l}_{\left(a q\right)} + N a O {H}_{\left(a q\right)} \to N a C {l}_{\left(a q\right)} + {H}_{2} {O}_{\left(l\right)}$ | 2020-07-03T17:01:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 1, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://gateoverflow.in/55422/maximum-continuous-sum-in-an-array | 286 views
Given an array of $n$ elements find the maximum continuous sum in it. For example consider the below array of $n=6$.
23 4 -10 2 15 1
edited | 286 views
yes, this is an issue of programmers- even I always used to correct the code and not think of the algorithm. Since you are a good explainer you can try expl... | 2017-04-24T03:23:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/113727/existence-of-n-dimensional-polyhedron-given-edges | # Existence of n-dimensional polyhedron given edges
The following assertion is true in $2$ and $3$ dimensions:
Given $\sigma_{ij},\ 1\leq i\neq j\leq n$ with $\sigma_{ij}=\sigma_{ji}$ and $\sigma_{ij} \leq \sigma_{ik}+\sigma_{kj}$, then there exist $A_1,...,A_n \in \Bbb{R}^{n-1}$ such that $dist(A_i,A_j)=\sigma_{ij}$... | 2015-09-02T17:57:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/is-center-of-mass-a-vector-or-scalar-quantity.897947/ | # B Is Center of Mass a vector or scalar quantity?
1. Dec 21, 2016
### PHYSICS5502
I am a little bit confused on Center of Mass and Center of Gravity about what are they vectors or scalars . As I may think they are neither because they are simply two points . Am I saying right or wrong .
2. Dec 21, 2016
### Gan_HO... | 2017-12-16T03:47:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/calculation-of-an-integral-with-retarded-time.560950/ | # Calculation of an integral with retarded time
1. Dec 17, 2011
### FunWarrior
Good morning.
I would like to prove that the integral
$h^{\mu \nu} (\vec{r},t) = \int d \zeta \int d^3 \vec{y} \frac{F^{\mu \nu} (\zeta,\tilde{\tau}) \delta^{(3)} (\vec{r} - \vec{x}(\zeta,\tilde{\tau}))}{|\vec{r}-\vec{y}|}$
where $\til... | 2018-01-18T08:57:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/given-the-first-term-and-the-common-difference-of-an-arithmetic-sequence-how-do--4 | # Given the first term and the common difference of an arithmetic sequence how do you find the first five terms and explicit formula: a1 = 3/5, d= -1/3?
Sep 19, 2015
${a}_{n} = {a}_{1} + \left(n - 1\right) d$
$A . P \left(\frac{9}{15} , \frac{4}{15} , - \frac{1}{15} , - \frac{6}{15} , - \frac{11}{15}\right)$
#### Ex... | 2020-08-13T03:23:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 19, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1865001/help-with-telescopic-series-with-3-terms-in-denominator | # Help with Telescopic Series with 3 terms in denominator
All the examples i have done and seen only have 2 terms in the denominator so I am a bit stuck with this one. I have attached what I have done so far, not sure how to proceed with it.
Thank you for the hints they were useful, after working it out more I ended ... | 2019-09-22T01:26:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/86699/question-about-the-logic-of-hypothesis-testing | # Question about the logic of hypothesis testing
Let us say that we have this following problem:
"A government agency claims that more than 50% of US tax returns were filed electronically last year. A random sample of 150 tax returns for last year contained 86 that were filed electronically. Test the claim at $\alpha... | 2019-11-22T00:17:17 | {"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/mat... |
http://mathematica.stackexchange.com/questions/28781/how-can-i-find-all-values-of-m-such-that-my-cubic-equation-has-three-different/28784 | # How can I find all values of $m$ such that my cubic equation has three different positive solutions?
I want to find all the values of $m$ such that the equation $$-m^3 + 2 m^2 x + (-2 m - 1) x^2 + m + x^3=0$$ has three different positive solutions. I tried
Clear[f];
f[x_] := -m^3 + 2 m^2 x + (-2 m - 1) x^2 + m + x^... | 2014-09-30T20:19:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.math.gatech.edu/seminars-and-colloquia-by-series?series_tid=35&page=20 | ## Seminars and Colloquia by Series
Friday, October 3, 2008 - 15:00 , Location: Skiles 255 , Ian Goulden , University of Waterloo , Organizer: Stavros Garoufalidis
This is an expository account of recent work on the enumeration of maps (graphs embedded on a surface of arbitrary genus) and branched covers of the sphere... | 2018-01-22T10:45:05 | {"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/ma... |
https://bora.uib.no/bora-xmlui/browse?rpp=20&offset=40&etal=-1&sort_by=-1&type=author&value=Abbott%2C+Dale+C.&order=ASC | Now showing items 41-60 of 119
• #### Measurement of the ratio of cross sections for inclusive isolated-photon production in pp collisions at √s= 13 and 8 TeV with the ATLAS detector
(Peer reviewed; Journal article, 2019-04-12)
The ratio of the cross sections for inclusive isolated-photon production in pp collision... | 2021-09-24T04:14:06 | {"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/ma... |
https://xplaind.com/814601/money-supply-and-monetary-base | # Money Supply and Monetary Base
Money supply is the quantity of money available in an economy for immediate use. It equals the currency held by public plus demand deposits at banks and monetary base is the sum of total currency in circulation and the amount held by banks as reserves.
The difference between money sup... | 2019-05-25T06:07:06 | {"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/mat... |
https://www.hpmuseum.org/forum/showthread.php?tid=690&pid=5244&mode=threaded | Accuracy and the power function
02-19-2014, 09:54 AM (This post was last modified: 02-19-2014 10:07 AM by Werner.)
Post: #7
Werner Senior Member Posts: 703 Joined: Dec 2013
RE: Accuracy and the power function
(02-18-2014 08:28 PM)Dieter Wrote: However, in the example with 4 ULP error the internally calculated exponen... | 2022-10-06T12:55:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ppne.quilianobike.it/generic-rectangle-solver.html | # Generic Rectangle Solver
Length Dexter Magnetic Technologies 1050 Morse Avenue Elk Grove Village, IL 60007 (847) 956-1140 [email protected] Unlike those rigid tiles, generic rectangles are more generic:. Multiplying and Dividing Polynomials Using Generic Rectangles This session will look at the area model, use algeb... | 2020-08-08T03:03:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.studysmarter.us/textbooks/physics/fundamentals-of-physics-10th-edition/conduction-of-electricity-in-solids/q23p-show-that-at-the-average-energy-of-the-conduction-elect/ | ### Select your language
Suggested languages for you:
Americas
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Q23P
Expert-verified
Found in: Page 1273
### Fundamentals Of Physics
Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718
### Answers without the blur.
Just sign up for free and you're in.
# Show that, at $... | 2023-03-29T06:08:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 21, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://demo.formulasearchengine.com/wiki/Product_of_rings | # Product of rings
{{ safesubst:#invoke:Unsubst||$N=Refimprove |date=__DATE__ |$B= {{#invoke:Message box|ambox}} }}
In mathematics, it is possible to combine several rings into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product ΠiI Ri ... | 2021-09-23T23:50:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "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/mat... |
http://wiki.bethanycrane.com/math1231partialderivatives | Math1231 Partial Derivatives
A Partial Derivative is a multivariable function which for differentiation has all variables aside from your dF/d? as constant, and the differentiation is done in regards to ?
e.g.
(1)
\begin{align} \begin {array} {l l} F(x,y,z) & = x^3yz + 5z \\ \frac {\partial{F}}{\partial{x}} & = 3x^2... | 2017-08-18T16:11:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://theemptyrobot.com/texts/relativity-the-special-and-general-theory/section-xxviii/ | # XXVIII. Exact Formulation of the General Principle of Relativity
Relativity: The Special and General TheoryAlbert Einstein
We are now in a position to replace the pro. visional formulation of the general principle of relativity given in Section XVIII by an exact formulation. The form there used, “All bodies of refe... | 2023-03-20T16:51:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 6, "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/mat... |
https://brilliant.org/problems/alokanandas-sand-tower/ | # Alokananda's Sand Tower
Directly below her $$10\text{ m}$$ tall tower, Alokananda has piled up a heap of sand $$1\text{ m}$$ high.
When she drops a ball of density $$\rho$$ from the top of the tower, the ball does reach the bottom of the sand (whose density, by the way, is $$\sigma$$) pit, but by then, it is comple... | 2018-10-24T06:11:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://scicomp.stackexchange.com/questions/23267/is-there-any-rapid-way-to-calculate-the-determinant-of-nxn-covariance-matrix/23268#23268 | # Is there any rapid way to calculate the determinant of NXN covariance matrix?
I searched the web and found some C code for calculating the determinant of a $n\times n$ matrix. This code however seems timing complexity, and run pretty slow especially when handling a larger matrix, for instance, $1000\times1000$ matri... | 2022-01-22T03:22:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ankplanet.com/physics/magnetism/alternating-current/wattless-current/ | # Wattless Current
## Wattless Current
The current which consumes no power is called wattless current or idle current. In a circuit containing pure inductor or capacitor, the phase angle between voltage and capacitor is $\frac{π}{2}$. [AC Through Circuit Elements] Hence, power consumed in such circuit is given by $P_... | 2022-11-29T00:55:00 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nhigham.com/tag/python/ | # Update of Catalogue of Software for Matrix Functions
Edvin Hopkins and I have updated to version 3.0 the catalogue of software for matrix functions that we originally produced in 2014 and updated in 2016. It covers what is available in various languages (C++, Fortran, Java, Julia, Python, Rust), problem solving envi... | 2022-12-01T03:28:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://kerodon.net/tag/02K1 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
Corollary 7.1.5.7. Let $\operatorname{\mathcal{C}}$ be an $\infty$-category and let $K$ be a simplicial set. Then:
$(1)$
Let $\overline{u}, \overline{v}: K^{\triangleleft } \rightarrow \operatorname{\mathcal{C}}$ be a pair of diagrams which a... | 2021-12-03T16:59:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://techwhiff.com/learn/1-a-reaction-of-great-social-significance-is-the/439509 | # 1. A reaction of great social significance is the fermentation of sugar with yeast. This is...
###### Question:
1. A reaction of great social significance is the fermentation of sugar with yeast. This is
Zero order (in sugar) reaction, where the yeast is a catalyst (it does not enter the reaction
itself). If a 0.... | 2022-11-26T15:24:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/405435/definability-of-sets-of-truth-assignments/405634 | # Definability of Sets of Truth Assignments
I have some questions about under what conditions a set of truth assignments is the model of some set of sentences.
To be more precise, suppose I'm dealing with only propositional logic. Let $K$ be a set of truth assignments, i.e. those maps assigning truth values to propos... | 2020-07-09T01:47:02 | {"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/mat... |
http://mathoverflow.net/questions/51477/topology-for-test-functions | # Topology for test functions [closed]
One naive way to define a topology on test functions ${\mathcal D}(\Omega)$ would be to exhaust $\Omega$ by compacts $(K_n)$ and to take the metric induced by the semi-norm system $${\| f \|} _ {n} := \| f \|_{C^n(K _ {n} )},$$ i.e. $$d(f, g) = \sum _ n 2^{-n} \frac{ \|f-g\| _ {n... | 2014-03-11T04:05:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://piping-designer.com/index.php/mathematics/geometry/plane-geometry/2551-circle-arc-triangle | # 3 Connecting Circles
Written by Jerry Ratzlaff on . Posted in Plane Geometry
• 3 connecting circles (a two-dimensional figure) has three equal length arcs connecting at the vertices bound by circles.
• a = b = c
• 3 arcs
• 3 vertexs
## Formulas that use Arc Length of a Circle Arc Triangle
$$\large{ n = \frac{\pi... | 2020-05-27T06:21:19 | {"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/mat... |
https://testbook.com/question-answer/if-the-gross-weight-of-the-soil-w-and-the-weight--60642a6fdf98379103f2e773 | # If the gross weight of the soil = W and the weight of solid particles = WS, then the value of water content will be -
This question was previously asked in
UPPCL JE CE Offical Paper I 2014
View all UPPCL JE Papers >
1. (W / WS) - 1
2. 1 + (W / WS)
3. 1 - (W / WS)
4. (WS / W) + 1
Option 1 : (W / WS) - 1
Free
CT 1: N... | 2021-09-22T11:47:43 | {"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/mat... |
http://diwaliideas.com/1ubec3/custom-stainless-steel-grill-griddle-921201 | # custom stainless steel grill griddle
Sometimes it is possible to determine a solution of a second‐order differential equation by inspection, which usually amounts to successful trial and error with a few particularly simple functions. An example of a differential equation of order 4, 2, and 1 is Create the system of ... | 2022-05-24T05:38:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ias.ac.in/describe/article/jcsc/121/05/0601-0605 | • Simulation for memory effect of Fick’s first law
• # Fulltext
https://www.ias.ac.in/article/fulltext/jcsc/121/05/0601-0605
• # Keywords
Fick’s first law; memory effects; relaxation time; second sound; Monte Carlo simulation.
• # Abstract
The memory effect of the Fick’s first law, expressed by $\tau(\partial J/\... | 2020-10-31T04:46:20 | {"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/mat... |
https://zbmath.org/?q=an:06792359 | ## Functions-as-constructors higher-order unification.(English)Zbl 1387.03008
Kesner, Delia (ed.) et al., 1st international conference on formal structures for computation and deduction, FSCD 2016, Porto, Portugal, June 22–26, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-959... | 2022-08-09T23:49:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://itfeature.com/tag/regression-analysis | # Basic Statistics and Data Analysis
## Simple Linear Regression Model (SLRM)
A simple linear regression model (SLRM) is based on a single independent (explanatory) variable and it fits a straight line such that the sum of squared residuals of the regression model (or vertical distances between the fitted line and po... | 2017-02-28T10:02:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://hal-ensta-paris.archives-ouvertes.fr/UPMC/jpa-00247504v1 | Structural properties and elasticity of amphiphilics on water - Archive ouverte HAL Access content directly
Journal Articles Journal de Physique II Year : 1991
## Structural properties and elasticity of amphiphilics on water
, (1) , ,
1
J. Daillant
• Function : Author
Louis Bosio
• Function : Author
B. Harzallah
• Fu... | 2023-02-09T03:15:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.math10.com/problems/monotonicity-of-functions/easy/ | # Monotonicity of Functions: Problems with Solutions
By Denitsa Dimitrova (Bulgaria)
Problem 1
Find the intervals on which the function
$f(x)=3x-3$ is increasing and decreasing.
Problem 2
Find the intervals on which the function
$f(x)=x^2-2x-3$ is increasing and decreasing.
Problem 3
Find the intervals on which the fu... | 2022-09-25T14:47:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://questions.examside.com/past-years/medical/question/two-ideal-diodes-are-connected-to-a-battery-as-shown-in-the-neet-physics-semiconductor-electronics-tkpcay2fzd8ekc5o | 1
### AIPMT 2012 Prelims
Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is
A
0.75 A
B
zero
C
0.25 A
D
0.5 A
## Explanation
Here D1 is in forward bias and D2 is in reverse bias so, D1 will conduct and D2 will not conduct.
So, the current supplied by the batt... | 2021-11-29T19:59:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/authors/?q=ai%3Awei.yimin | # zbMATH — the first resource for mathematics
## Wei, Yimin
Compute Distance To:
Author ID: wei.yimin Published as: Wei, Y.; Wei, Y.-M.; Wei, Yi-Min; Wei, Yi-min; Wei, YiMin; Wei, Yimin Homepage: http://math.fudan.edu.cn/ShowPeople.aspx?info_lb=548&flag=526&info_id=3174 External Links: ResearchGate · dblp
Documents... | 2021-05-18T18:47:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://alice-publications.web.cern.ch/node/2831 | Net-charge fluctuations in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV
We report the first measurement of the net-charge fluctuations in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV, measured with the ALICE detector at the CERN Large Hadron Collider. The dynamical fluctuations per unit entropy are observe... | 2018-07-16T15:59:23 | {"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/mat... |
https://rupress.org/jcb/article/193/2/365/36421/Measurements-of-spatiotemporal-changes-in-G-actin | To understand the intracellular role of G-actin concentration in stimulus-induced actin assembly and lamellipodium extension during cell migration, we developed a novel technique for quantifying spatiotemporal changes in G-actin concentration in live cells, consisting of sequential measurements of fluorescent decay aft... | 2022-12-05T23:43:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 16, "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/ma... |
https://www.gradesaver.com/textbooks/science/physics/college-physics-4th-edition/chapter-19-problems-page-752/8 | ## College Physics (4th Edition)
$F = 1.6 \times 10^{-12}~N$
We can find the magnetic force: $F = q~v~B$ $F = (1.6\times 10^{-19}~C)(2.0 \times 10^7~m/s)(0.50~T)$ $F = 1.6 \times 10^{-12}~N$ | 2020-02-19T11:09:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://bakingandmath.com/2014/06/22/two-things-i-tell-calculus-students-one-is-the-squeeze-theorem/ | # Two things I tell calculus students (one is the squeeze theorem)
22 Jun
I was subbing for a friend in our math tutoring center the other day and ended up chatting with an undergraduate who was retaking calculus. She asked if I was a grad student in math, and when I affirmed, she said “wow, you must have memorized ... | 2014-12-22T14:11:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/70196/whats-the-distance-between-a-ray-and-a-sphere?answertab=votes | # What's the distance between a ray and a sphere?
I don't quite understand the shapeDistance function when dealing with spheres. What does it mean to calculate the distance between a ray and a sphere? and what is the formula?
c = the center of a sphere
r = radius of a sphere
ori = origin of a ray
dir = direction o... | 2015-01-27T03:36:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/statistics-probability/introductory-statistics-9th-edition/chapter-7-section-7-1-sampling-distribution-sampling-error-and-nonsampling-errors-exercises-page-280/7-6 | ## Introductory Statistics 9th Edition
a. See Table b.Suppose we assign the letters A, B, C, D, E and F to the six ages (in years), so that A=15, B=21, C=25, D=28, E=53, F=55. $6C_{4}$=$\frac{6!}{4!(6-4)!}$ = $\frac{6*5*4*3*2*1}{4*3*2*1*2*1}$ = 15 The 15 possible samples of six ages are: ABCD, ABCE, ABCF, ABDE, ABDF, ... | 2019-12-13T07:30:29 | {"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/mat... |
http://www.researchgate.net/publication/12025306_Reducing_nonideal_to_ideal_coupling_in_random_matrix_description_of_chaotic_scattering_Application_to_the_time-delay_problem | Article
# Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem
Budker Institute of Nuclear Physics, Novo-Nikolaevsk, Novosibirsk, Russia
(Impact Factor: 2.29). 04/2001; 63(3 Pt 2):035202. DOI: 10.1103/PhysRevE.63.035202
Source: arXiv
ABSTRACT
... | 2015-10-06T02:28:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.hackmath.net/en/math-problem/24551 | # The water tank
The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank, if we paint with 1 kg of paint 10 m2?
Result
V = 33510.322 l
m = 5.027 kg
#### Solution:
$r=2 \ \text{m} \ \\ V_{1}=\dfrac{ 4 }{... | 2020-06-01T13:16:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "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/mat... |
http://openstudy.com/updates/4d91de871a368b0bbd9743c1 | ## A community for students. Sign up today
Here's the question you clicked on:
## anonymous 5 years ago In 1995 the United States recovered 24% of its municipal wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Based on these two data points, ... | 2017-01-19T15:30:27 | {"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/mat... |
http://math.stackexchange.com/questions/259275/poisson-subtraction-distribution | # Poisson subtraction distribution
We have $k$ servers. Servers drops occurs according to Poisson distribution with average of $\alpha$ every second, servers repairs occurs according to Poisson distribution with average of $\beta$ every second. What's the probability, that after $t$ seconds, $x$ servers are standing?
... | 2015-05-24T05:29:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://artofproblemsolving.com/wiki/index.php?title=2013_AIME_II_Problems&diff=cur&oldid=52226 | # Difference between revisions of "2013 AIME II Problems"
2013 AIME II (Answer Key) Printable version | AoPS Contest Collections • PDF Instructions This is a 15-question, 3-hour examination. All answers are integers ranging from $000$ to $999$, inclusive. Your score will be the number of correct answers; i.e., there ... | 2022-05-17T05:27:02 | {"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": 152, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/discrete-math/194798-proof-invertibility-injective-functions-print.html | # Proof of invertibility of injective functions
• December 30th 2011, 07:18 PM
itpro
Proof of invertibility of injective functions
Thank you.
• December 30th 2011, 10:45 PM
FernandoRevilla
Re: Proof of invertibility of injective functions
Quote:
Originally Posted by itpro
If $f:A\to B$ is invertible, there exists $g... | 2014-07-31T08:57:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://courses.lumenlearning.com/wmopen-collegealgebra/chapter/introduction-polynomials/ | ## Polynomial Basics
### Learning Outcomes
• Identify the degree, leading coefficient, and leading term of a polynomial.
• Add and subtract polynomials.
• Multiply polynomials.
• Square a binomial.
• Find a difference of squares.
• Perform operations on polynomials with several variables.
Earl is building a doghouse... | 2022-06-30T03:25:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.boundaryvalueproblems.com/content/2011/1/33?fmt_view=mobile | Research
# Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian
Liang Zhang, Xian Hua Tang* and Jing Chen
### Author affiliations
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China
For all author email... | 2014-07-24T13:01:08 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/what-are-the-critical-points-of-f-x-x-x-2-4 | # What are the critical points of f(x) = x / (x^2 + 4)?
Nov 24, 2016
We have a min at $\left(- 2 , - \frac{1}{4}\right)$ and a max at $\left(2 , \frac{1}{4}\right)$
We have points of inflexions at $\left(0 , 0\right)$ ; $\left(2 \sqrt{3} , \frac{\sqrt{3}}{8}\right)$ and $\left(- 2 \sqrt{3} , - \frac{\sqrt{3}}{8}\rig... | 2019-03-21T06:05:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 40, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://nrich.maths.org/11501/solution | #### You may also like
Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?
### Making Rectangles, Making Squares
How many differently shaped rectangles can you build using these equilateral and isosceles t... | 2020-08-08T00:47:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://xianblog.wordpress.com/tag/intractable-likelihood/ | intractable likelihoods (even) for Alan
Posted in Kids, pictures, Statistics with tags , , , , , , , , , , , , on November 19, 2015 by xi'an
In connection with the official launch of the Alan Turing Institute (or ATI, of which Warwick is a partner), it funded an ATI Scoping workshop yesterday a week ago in Warwick ar... | 2016-09-26T07:02:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/fermats-little-theorem.217123/ | # Fermat's little theorem
1st question:
Fermat's little theorem: If p is prime and p does not divide a, a E Z, then ap-1 is congruent to 1 mod p.
Corollary: For all a E Z and all primes p, ap is congruent to a mod p.
I don't really understand the corollary part, why is the assumption "p does not divide a" removed?
... | 2021-09-21T01:53:51 | {"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/ma... |
http://mathoverflow.net/questions/118052/symbols-of-elliptic-operators | # Symbols of elliptic operators
First let me state the problem, then I'll explain its origin and finally, I'll ask the main question..
Problem S. Fix a positive integer $n$. Find all the pairs $(V, S)$, whith the following properties.
1. $V$ is a finite dimensional complex vector space equipped with a Hermitian metr... | 2016-02-06T23:42:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ocean-sci.net/15/1615/2019/ | Journal topic
Ocean Sci., 15, 1615–1625, 2019
https://doi.org/10.5194/os-15-1615-2019
Ocean Sci., 15, 1615–1625, 2019
https://doi.org/10.5194/os-15-1615-2019
Research article 06 Dec 2019
Research article | 06 Dec 2019
# Increasing turbidity in the North Sea during the 20th century due to changing wave climate
Incre... | 2020-02-19T13:15:56 | {"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/ma... |
https://exploringnumbertheory.wordpress.com/tag/order-of-a-number/ | # Solving quadratic congruences with odd prime moduli
The goal of this post is to show how to solve the quadratic congruence equation
$x^2 \equiv a \ (\text{mod} \ p) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (1)$
where $p$ is an odd prime and $a$ is an... | 2019-09-16T16:25:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1463, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/... |
https://math.stackexchange.com/questions/2468260/taylor-series-convergernce | # Taylor Series Convergernce
I have a question on Taylor Series. I missed my lectures for this topic so I'm trying my best to follow the examples on my own but I just need confirmation whether I'm on the right track. I've picked this question:
i) Find the Maclaurin series for the function $f(x)=e^{\frac{1}{2}x}$, wri... | 2019-06-26T03:38:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.openfcst.mece.ualberta.ca/class_documentation/v_01/group__app__cathode.html | OpenFCST: The open-source Fuel Cell Simulation Toolbox
AppCathode Tutorial
The Tutorials Page
Collaboration diagram for AppCathode Tutorial:
Introduction
This tutorial describes how to develop an application using openFCST. The basic building blocks for creating a fuel cell mathematical model in openFCST are explaine... | 2021-06-21T16:04:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dev.goldbook.iupac.org/terms/view/R05240 | ## Wikipedia - Indice di rifrazione refractive index, $$n$$
https://doi.org/10.1351/goldbook.R05240
The ratio of the speed of light in vacuum to that in a given medium.
Sources:
Green Book, 2nd ed., p. 30 [Terms] [Book]
PAC, 1996, 68, 957. (Glossary of terms in quantities and units in Clinical Chemistry (IUPAC-IFCC Re... | 2021-06-15T21:47:31 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://wiki.planetmath.org/adaptedprocess | adapted process
Primary tabs
Synonym:
adapted
Type of Math Object:
Definition
Major Section:
Reference
Mathematics Subject Classification
60A99 no label found60G07 no label found
Comments
Adapted
Hello!
'A stochastic process is an adapted process if it is adapted to some filtration' what some filtration. Can I s... | 2017-11-22T11:15:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 13, "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/ma... |
http://focm2014.dm.uba.ar/sessionAbs.php?session=d8498108&order=2 | # Session B7 - Symbolic Analysis
Organizers: Evelyne Hubert (INRIA Méditerranée, France) - Peter Paule (Johanes Kepler University Linz, Austria) - Enrique Reyes (University of Santiago, Chile)
Workshop website
View session abstracts PDF
## Talks
December 17, 16:00 ~ 16:25 - Room A11
## Computing the parameterized... | 2019-04-22T18:59:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-can-i-make-a-saturated-solution-of-potassium-iodide | # How can I make a saturated solution of potassium iodide?
Jun 9, 2018
And add the salt to approx. $5 - 10 \cdot m L$ of water UNTIL such time that there is undissolved solute.... As always, a saturated solution is a solution that contains the SAME amount of solute as would be in equilibrium with undissolved solute..... | 2019-10-22T06:34:55 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://discuss.codechef.com/questions/125219/arrp-editorial | ×
# ARRP - Editorial
Div1, Div2
Practice
Author: Misha Chorniy
Tester: Lewin Gan
Easy-Medium
# PREREQUISITES:
Sieve of Eratosthenes
# PROBLEM:
You are given an array $A$ with size $N$. For each $K$ between $1$ and $N$ (inclusive), find out if it is possible to partition (split) the array $A$ into $K$ contiguous... | 2019-01-20T21:22:27 | {"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/mat... |
https://mathemerize.com/differentiation-of-exponential-function/ | # Differentiation of Exponential Function
Here you will learn differentiation of exponential function by using first principle and its examples.
Let’s begin –
## Differentiation of Exponential Function
### (1) Differentiation of $$e^x$$ :
The differentiation of $$e^x$$ with respect to x is $$e^x$$.
i.e. $$d\over ... | 2022-11-26T09:31:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cpr-condmat-mtrlsci.blogspot.com/2013/06/13063563-manvir-s-kushwaha-et-al.html | ## Surface plasmons in coaxial metamaterial cables [PDF]
Manvir S. Kushwaha, Bahram Djafari-Rouhani
Thanks to Victor Veselago for his hypothesis of negative index of refraction, metamaterials -- engineered composites -- can be designed to have properties difficult or impossible to find in nature: they can have both... | 2018-03-22T15:43:01 | {"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/mat... |
http://mathhelpforum.com/advanced-algebra/47224-solution-x-p-1-finite-field-char-p-print.html | # Solution of x^p = 1 in a finite field of char p
• August 31st 2008, 06:30 AM
petersmith
Solution of x^p = 1 in a finite field of char p
I was wondering if x^p = 1 implies that x =1 in a finite field of characteristic p, or in other words
If x^p = 1 (mod p), does that imply that x = 1 (mod p) ?
If so why?
• August 3... | 2013-06-19T10:04:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://learn.careers360.com/engineering/question-need-clarity-kindly-explain-electromagnetic-induction-and-alternating-currents-jee-main-2/ | An ideal coil of 10 H is connected in series with a resistance of 5 $\dpi{100} \Omega$ and a battery of 5 V. 2 second after the connection is made, the current flowing in ampere in the circuit is Option 1) $(1-e^{-1})\;$ Option 2) $\; \; (1-e)\;$ Option 3) $\; \; e\; \;$ Option 4) $\; e^{-1}$
As we learnt in
Self Ind... | 2020-09-27T11:37:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://openstudy.com/updates/4da4f56ed6938b0b38b0a14d | ## anonymous 5 years ago convergent or divergent? infinity summation (k/k+1) ^(k^2) k=1
1. anonymous
so I went ahead and looked at what the sum is doing before it reaches the power and factored out a k$\sum_{1}^{\infty}(k(1)/k(1+(1/k)))^(k^2) = \sum_{1}^{\infty}(1/(1+(1/k))^(k^2)$ if we take the limit as k goes to in... | 2017-01-19T08:58:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/solve-for-x-show-the-equation-you-used-and-your-work-1#366020 | # Solve for x? Show the equation you used and your work.
Jan 18, 2017
$x = 27$.
#### Explanation:
Since the Ray $A D$ bisects the $\angle B A C$, we know from Geometry,
that, $\frac{B D}{D C} = \frac{A B}{A C} \Rightarrow \frac{24}{18} = \frac{36}{x} \Rightarrow x = \frac{\left(18\right) \left(36\right)}{24} = 27$... | 2022-01-20T08:54:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://study.com/academy/answer/two-lines-both-go-through-the-point-1-2-one-with-slope-3-and-one-with-slope-1-3-find-the-equations-for-the-lines.html | # Two lines both go through the point (1,2) one with slope 3 and one with slope 1/3. Find the...
## Question:
Two lines both go through the point {eq}(1,2) {/eq} one with slope {eq}3 {/eq} and one with slope {eq}1/3 {/eq}. Find the equations for the lines.
## Equation of a Line in Point-Slope Form
{eq}{/eq}
{eq}\t... | 2020-02-20T11:18:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://libros.duhnnae.com/2017/jun7/14980678994-Evidences-of-high-energy-protons-with-energies-beyond-04-GeV-in-the-solar-particle-spectrum-as-responsible-for-the-cosmic-rays-solar-diurnal-anisotro.php | # Evidences of high energy protons with energies beyond 0.4 GeV in the solar particle spectrum as responsible for the cosmic rays solar diurnal anisotropy - Astrophysics
Evidences of high energy protons with energies beyond 0.4 GeV in the solar particle spectrum as responsible for the cosmic rays solar diurnal anisotr... | 2017-12-15T22:40:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://adanet.readthedocs.io/en/latest/theory.html | # Theory¶
## Focus on generalization¶
Generalization error is what we really want to minimize when we train a model. Most algorithms minimize generalization error indirectly by minimizing a loss function that consists of a training loss term and additional penalty terms to discourage the models away from acquiring pr... | 2022-01-28T07:57:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Definition:Differentiable_Mapping/Function_With_Values_in_Normed_Space | # Definition:Differentiable Mapping/Function With Values in Normed Space
## Definition
Let $U \subset \R$ be an open set.
Let $\struct {X, \norm {\, \cdot \,}_X}$ be a normed vector space.
A function $f : U \to X$ is (strongly) differentiable at $x \in U$ if and only if there exists $\map {f'} x \in X$ such that:
... | 2023-03-20T10:44:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/91224-subspaces.html | # Math Help - Subspaces
1. ## Subspaces
Hello MHF, would appreciate some help with the following equestions;
Determine which of the following sets are subspaces. Give reasons for your answers.
(a) $H=\left\{\left[\begin{array}{cc}s\\2s\\0\end{array}\right]:s\in\mathbb{R},s\geq0 \right\}$
(b) $L=\left\{\left[\begin{... | 2015-04-19T09:58:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 30, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.nature.com/articles/s42005-021-00545-z?error=cookies_not_supported&code=f7d9ccf5-7047-4299-9800-463244ee914e | ## Introduction
Unconventional superconductivity is observed in an ever-growing number of correlated-electron systems1, ranging from heavy-fermion2,3, high-temperature cuprate4, iron-based pnictide and chalcogenide5, to the newly discovered nickelate6 and graphene-superlattice7 families. New unusual superconducting ph... | 2023-04-02T07:23:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2702604/orthogonal-vector-in-a-plane/2702612 | # Orthogonal vector in a plane
I have two vectors $\boldsymbol{a}$ and $\boldsymbol{b}$. Now I want to find a vector $\boldsymbol{v}$ orthogonal to $\boldsymbol{a}$ that is in the plane spanned by $\boldsymbol{a}$ and $\boldsymbol{b}$. Is it ok if I do $\boldsymbol{v} = \boldsymbol{a} \times (\boldsymbol{a} \times \bo... | 2022-01-29T11:23:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.hohoweiya.xyz/2019/10/31/Genetic-Relatedness/ | Genetic Relatedness in High-Dimensional Linear Models
Posted on Oct 31, 2019
Consider estimating the genetic relatedness between two traits based on the genome-wide association data. In the framework of high-dimensional linear models, introduce two measures of genetic relatedness and develop optimal estimators for th... | 2020-02-19T16:46:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nrich.maths.org/1855 | Latin Numbers
Can you create a Latin Square from multiples of a six digit number?
Repeaters
Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
Six Times Five
Stage: 3 Ch... | 2016-10-22T03:37:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/greens-theorem-2.566283/ | # Greens Theorem 2
1. Jan 9, 2012
### bugatti79
1. The problem statement, all variables and given/known data
Use greens theorem to evaluate this line integral $\oint_{C} 6xy- y^2$ assuming C is oriented counter clockwise. The region bounded by the curves y=x^2 and y=x.
2. Relevant equations
$\displaystyle \int\in... | 2018-02-19T09:08:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/satellite-orbit-of-the-moon.474583/ | # Satellite Orbit of the Moon
## Homework Statement
The gravitational field strength on the moon, which has a radius of 1.74 x 10^6 m, is
approximately 0.17 as large as the gravitational field strength at the surface of the earth. The satellite is at an altitude of 100km above the moon.
What is the radius of the orb... | 2020-09-20T08:37:47 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.scipedia.com/public/Marti_et_al_2018a | Published in Fire Technology Vol. 54 (6), pp 1783-1805, 2018
DOI: 10.1007/s10694-018-0769-0
## Abstract
The tendency of the polymers to melt and drip when they are exposed to external heat source play a very important role in the ignition and the spread of fire. Numerical simulation is a promising methodology for pre... | 2019-08-24T03:34:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 5, "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/mat... |
https://barneyshi.me/2021/11/30/compare-version-nums/ | # Leetcode 165 - Compare version nums
Note:
• Quite easy. Split each into an array of nums then compare one by one.
• Fill undefined with 0s.
Question:
Given two version numbers, version1 and version2, compare them.
Version numbers consist of one or more revisions joined by a dot '.'. Each revision consists of dig... | 2022-10-02T07:00:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dml.cz/handle/10338.dmlcz/133982 | # Article
Full entry | PDF (0.3 MB)
Keywords:
3-path-step graph operator; tree; unicyclic graph
Summary:
E. Prisner in his book Graph Dynamics defines the $k$-path-step operator on the class of finite graphs. The $k$-path-step operator (for a positive integer $k$) is the operator $S^{\prime }_k$ which to every finit... | 2021-01-21T08:16:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/259630/solving-a-boundary-value-problem-numerically-with-high-precision | # Solving a boundary value problem numerically, with high precision
In the paper ON A PAINLEVÉ-TYPE BOUNDARY-VALUE PROBLEM, the authors consider the BVP given by the ODE $$y''=y^2-x \tag{1}$$ with the boundary conditions \begin{align} y(0)&=0, \tag{2a} \\ y(x)& \sim \sqrt{x} \text{ as }x \to \infty \tag{2b}.\end{align... | 2019-10-15T02:39:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1973968/if-fx-gx-forall-x-in-i-backslash-a-and-lim-x-rightarrow-a-f | # If $f(x) = g(x) \forall x \in I \backslash \{a\}$ and $\lim_{x \rightarrow a} f(x) = L$ prove that $g(x) \rightarrow L$ as $x \rightarrow a$.
Let $a \in \mathbb{R}$ and $I$ be an open interval with $a \in I$. Let $f$ and $g$ be real functions defined on $I$ except possibly at $a$. If $f(x) = g(x) \forall x \in I \ba... | 2021-06-16T11:07:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/853273/prove-that-g-has-a-nontrivial-normal-subgroup | # Prove that $G$ has a nontrivial normal subgroup
Let $G$ be a group of order $pqr$ (for $p > q > r$ primes).
(i) If $G$ fails to have a normal subgroup of order $p$, determine the number of elements with order $p$.
(ii) If $G$ fails to have a normal subgroup of order $q$, show that there are at least $q^2$ elements... | 2019-10-17T23:35:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/131704/factorize-polynomial-over-gf3 | # Factorize polynomial over $GF(3)$
I want to factorize $x^{11}-1$ over $GF(3)$ but I'm stuck at $(x-1)(x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1).$ I have tried to do it trial and error but failed. Is $$x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1$$ already irreducible over $GF(3)$?
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The polynomial $$\phi_{11}(x):=... | 2015-11-28T17:00:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crypto.stackexchange.com/questions/27588/is-full-homomorphic-encryption-quantum-resistant | # Is full Homomorphic encryption quantum resistant?
Since most of our asymmetric encryption algorithms are going to be out-of-date in a couple of year due to Shor's algorithm, I was wondering about the future of FHE schemes. I have found this paper, which states:
"It is impossible to construct secure group homomorphi... | 2019-06-17T14:33:19 | {"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/mat... |
https://www.scottaaronson.com/blog/ | ## How to upper-bound the probability of something bad
April 13th, 2018
Scott Alexander has a new post decrying how rarely experts encode their knowledge in the form of detailed guidelines with conditional statements and loops—or what one could also call flowcharts or expert systems—rather than just blanket recommend... | 2018-04-19T23:07:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quant.stackexchange.com/questions/44020/how-to-estimate-market-based-pd-and-lgd-for-small-enterprises | # How to estimate market based PD and LGD for small enterprises?
I am estimating CVA/DVA for derivatives...
How to estimate PD and LGD (or RR) based on market data for the small enterprises, if there is no external rating for them and they don't have bonds or equities on exchange market? Note that these are companies... | 2019-12-12T14:39:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/198357/effect-of-rs-in-a-cs-amplifier-with-degeneration | # Effect of Rs in a CS amplifier with degeneration
I was studying the topology of CS amplifier with degeneration (a resistor connected from source to ground and I have two question about this topology:
1. It is clear for me that Rs will decrease the gain (cons.) and increase the output resistance (cons.).
I know als... | 2019-06-27T00:12:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/374696/sum-of-residues | # Sum of residues.
Let $q$ be a polynomial of degree $n$ with distinct zeroes $z_1,\ldots,z_n$. Let $p$ be a polynomial of degree $n-2$ or less. Show that:
$\displaystyle\sum_{K=1}^{n} \operatorname{Res}\left(\frac{p}{q};z_k\right)=0$
I'm trying to think of ways to use the residue theorem, but I'm not sure how to pr... | 2019-11-16T21:11:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/401614/imputing-missing-values-from-multivariate-normal-distribution | # Imputing missing values from multivariate Normal Distribution
Let's say my data of dimension $$3$$ has a multivariate normal distribution with known mean vector $$\mu$$ and covariance matrix $$\Sigma$$
I then observe a sample from the distribution but with $$1$$ value missing $$[ ?, x_2, x_3 ]$$
How can I find the... | 2019-07-16T02:40:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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