url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://blog.csdn.net/wr132/article/details/51548485 | ## colorfulshark
Linux Kernel Developer（WindRiver System）
# CodeForces 148D Bag of mice 概率DP
1. 公主抓到白老鼠；
2. 公主抓到黑老鼠，龙抓到白老鼠；（输，不可向后推进）
3. 公主抓到黑老鼠，龙抓到黑老鼠，跑掉黑老鼠；
4. 公主抓到黑老鼠，龙抓到黑老鼠，跑掉白老鼠；
D. Bag of mice
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
The dra... | 2018-07-18T11:44:58 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/218529-solve-system-equations-using-row-operations-augmented-matrix.html | # Thread: solve system of equations using row operations on augmented matrix
1. ## solve system of equations using row operations on augmented matrix
Hey guys I really need some help on solving 2 algebra problems.
The question states: Solve the system of equations using row operations on the augmented matrix.
Probl... | 2017-07-21T05:10:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.quantwolf.com/doc/simplestrategies/ch03.html | # Chapter 3BSP and BOP Strategy
The most difficult situation to deal with is when the probabilities are both unknown and changing in time. This is the problem you are faced with in the financial markets. There is no doubt that the market experiences trends. There are periods of time when the probability of an upward m... | 2018-01-23T19:18:35 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://2011.igem.org/Team:DTU-Denmark/Technical_stuff_math | # Math
## Simplification and construction of ODEs
The general reaction scheme is \begin{align} \color{blue} m + \color{red}s &\mathop{\rightleftharpoons}_{k_{-1,s}}^{k_{1,s}} c_{ms} \mathop{\rightarrow}^{k_{2,s}} (1 - p_s) \color{red} s \\ \color{red} s + \color{green} r &\mathop{\rightleftharpoons}_{k_{-1,r}}^{k_{1,... | 2023-02-09T05:45:02 | {"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... |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-11th-edition/chapter-4-section-4-2-exponential-functions-4-2-exercises-page-409/37 | ## College Algebra (11th Edition)
The parent function is $f(x)=2^x$ (with red) the given function is $g(x)=2^{x-1}+2$ (with blue). The parent function can be graphed by calculating a few coordinates and connecting them with a smooth curve: $f(-2)=2^{-2}=(\frac{1}{4})$ $f(-1)=2^{-1}=(\frac{1}{2}$ $f(0)=2^0=1$ $f(1)=2^1... | 2018-12-18T18:57:17 | {"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... |
https://paperswithcode.com/paper/statistical-models-for-degree-distributions | # Statistical Models for Degree Distributions of Networks
We define and study the statistical models in exponential family form whose sufficient statistics are the degree distributions and the bi-degree distributions of undirected labelled simple graphs. Graphs that are constrained by the joint degree distributions ar... | 2020-09-24T13:50:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://repository.nwu.ac.za/handle/10394/11187?show=full | dc.contributor.author Barnard, Etienne en_US dc.date.accessioned 2014-08-15T12:56:30Z dc.date.available 2014-08-15T12:56:30Z dc.date.issued 2011 en_US dc.identifier.citation Barnard, E. 2011. Determination and the no-free-lunch paradox. Neural Computation, 23(7):1899-1909. [https://doi.org/10.1162/NECO_a_00137] en_US d... | 2019-09-20T03:10:15 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/201168/projection-onto-closed-convex-set | # Projection onto closed convex set
Show that the function defined by $f(t)=|P_{D}(x+td)-x|$ is nondecreasing, where $D$ is closed convex, $x\in D$, $t\geq 0$, $d\in \mathbb{R}^{n}$ and $P_{D}$ is projection onto D.
I tried to solve this question in a lot of ways, for example, if we use the polarization identity, we ... | 2015-08-28T07:37:42 | {"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... |
http://www.leedsmathstuition.co.uk/2013/06/calculus-of-residues/ | # Calculus of Residues
After blowing off the cobwebs after a couple of years I have been looking at some of the notes that I made some years back on some courses that I took at Warwick on Complex Analysis and Vector Analysis.
Integration has always been one of my favourite areas of mathematics. At A-Level I learned l... | 2018-08-20T03:01:52 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/92110/hyperbolic-uniformization-metrics | # Hyperbolic Uniformization Metrics
I have been working Euclidean Ricci Flow but have been having considerable trouble trying to implement the same discrete gradient descent functionality in hyperbolic space.
I am following the proposed algorithm at the end of "Computing Teichmuller Shape Space" but the algorithm fai... | 2015-09-02T15:22:44 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mammothmemory.net/maths/algebra/powers-roots-and-indices/further-roots.html | # Further roots
## Further roots to explain x^(a/b)
Always split the power into a root and a power.
x^(a/b)=x^((a\ \m\u\l\t\i\p\l\i\e\d\ \by\ \1/b))=(x^a)^(1/b)=rootb(x^a)
Or
x^(a/b)=x^((1/b\ \m\u\l\t\i\p\l\i\e\d\ \by\ \a))=(x^(1/b))^a=(rootbx)^a
Just remember:
Example 1
What is 10^(2/10) ?
10^(2/10) =(\root10... | 2022-01-27T00:46:42 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rdrr.io/cran/maotai/man/ecdfdist.html | # ecdfdist: Distance Measures between Multiple Empirical Cumulative... In maotai: Tools for Matrix Algebra, Optimization and Inference
## Description
We measure distance between two empirical cumulative distribution functions (ECDF). For simplicity, we only take an input of ecdf objects from stats package.
## Usage
... | 2021-12-06T21:08:47 | {"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/mat... |
http://www.mathjournals.org/jot/2006-056-002/2006-056-002-001.html | Previous issue · Next issue · Most recent issue · All issues
# Journal of Operator Theory
Volume 56, Issue 2, Fall 2006 pp. 225-247.
$C^*$-algebras associated with self-similar sets
Authors Tsuyoshi Kajiwara (1) and Yasuo Watatani (2)
Author institution: (1) Department of Environmental and Mathematical Sciences,... | 2018-01-23T16:06:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/144599/guidance-needed-in-finding-scattering-amplitude | # Guidance needed in finding scattering amplitude
If I have the Lagrangian $$\mathcal{L}=\bar{\psi}(i\gamma ^\mu \partial_\mu - m)\psi -g\bar{\psi}i\gamma^5\phi\psi,$$ where $g$ is a coupling constant.
How to find the scattering amplitude for $$\phi \psi \to \phi \psi$$ What I only learned in class was electron-elect... | 2019-11-18T08:30:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Combination_Theorem_for_Continuous_Mappings/Topological_Group/Multiple_Rule | # Combination Theorem for Continuous Mappings/Topological Group/Multiple Rule
## Theorem
Let $\struct {S, \tau_{_S} }$ be a topological space.
Let $\struct {G, *, \tau_{_G} }$ be a topological group.
Let $\lambda \in G$.
Let $f: \struct {S, \tau_{_S} } \to \struct {G, \tau_{_G} }$ be a continuous mapping.
Let $\l... | 2020-11-28T17:38:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://forum.azimuthproject.org/plugin/ViewComment/16179 | Re: #9 John
1. What is the difference between an element and an object?
Re: #5 John
2. Are all morphisms in a category of the same type or can a category have, for example, objects {\$$x,y,a,b\$$} where morphisms \$$f: x \rightarrow y\$$ and \$$g: a \rightarrow b\$$ are different?
Thanks! | 2020-01-19T07:43:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-12th-edition/chapter-9-section-9-4-properties-of-logarithms-9-4-exercises-page-613/7 | ## Intermediate Algebra (12th Edition)
$log_{10}7+log_{10}8$
We know that $log_{b}xy=log_{b}x+log_{b}y$ (where $x$, $y$, and $b$ are positive real numbers and $b\ne1$). Therefore, $log_{10}(7\times8)=log_{10}7+log_{10}8$. | 2018-07-20T16:52:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/what-is-the-molar-volume-of-3-01-x-10-23-molecules-of-ethane-c2h6 | # What is the molar volume of 3.01 x 10(23) molecules of ethane (C2H6)?
Jun 28, 2014
One mole of any gas at STP takes up 22.4 L of volume.
one mole of gas = 22.4 L ..... (a)
one mole of gas has 6.02 x ${10}^{23}$ particles( Molecules) ..... (b)
equating (a) and (b) we get
6.022 x ${10}^{23}$ particles (Molecules)... | 2019-10-21T14:57:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 6, "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://ask.sagemath.org/users/24971/rburing/?sort=recent | 2019-12-06 15:51:39 -0600 commented question Solve set of equations with all unique values in sage Can you add the set of equations? Select your code and press the '101010' button to format it correctly. 2019-12-05 13:45:39 -0600 answered a question How to use a string in a symbolic expression with SageMath? I would re... | 2019-12-13T14:40:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/modulus-area/ | # Modulus Area
Geometry Level 3
$\large \begin{cases} \color{#3D99F6}{y = |x| + 2} \\ \color{#456461}{y = |x| - 2} \\ \color{#D61F06}{y = |x + 2|} \\ \color{magenta}{y = |x - 2|} \end{cases}$
Find the area of region bounded by the curves above.
× | 2021-06-21T10:39:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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/a-combinatorics-problem-by-thevarraaj-chandran/ | # An algebra problem by Thevarraaj Chandran
Algebra Level 2
$$\log_a x^2y=m$$ and $$\log_a y/x^3=n$$ express $$\log_a x/y$$ in terms of m and n.
×
Problem Loading...
Note Loading...
Set Loading... | 2017-05-28T10:33:41 | {"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... |
https://www.aimsciences.org/article/doi/10.3934/jdg.2021024 | Article Contents
Article Contents
# Explaining the definition of wholesale access prices in the Portuguese telecommunications industry
• * Corresponding author: Vitor Miguel Ribeiro
Authors were supported by the following projects and grants: DigEcoBus - NORTE-01-0145-FEDER-028540, STRIDE - NORTE-01-0145-FEDER-00003... | 2022-12-06T20:26:27 | {"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://undergroundmathematics.org/polynomials/happy-families/suggestion | Food for thought
## Suggestion
The image in the warm-up shows one of a family of functions represented by the implicit equation $(x^2+2ay-a^2)^2=y^2(a^2-x^2)$.
Try changing $a$ using the slider in the applet below.
What do you notice about the other functions in the family?
Are there any questions that you would l... | 2019-03-19T02:29:04 | {"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://www2.icp.uni-stuttgart.de/~hilfer/publikationen/html/ZZ-2012-RABDS-123/RABDS-2012-123.Sx2.html | Sie sind hier: ICP » R. Hilfer » Publikationen
# Appendix
[123.8.1] The -function of order and with parameters , , , and is defined for by the contour integral [5, 32]
(14)
where the integrand is
(15)
[123.8.2] In (14) and is not necessarily the principal value. [123.8.3] The integers must satisfy
(16)
and e... | 2021-12-03T15:35:15 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://scicomp.stackexchange.com/questions/30515/fem-1d-poisson-substitution-integral-issue/30518 | FEM 1D poisson substitution integral issue
I'm trying to solve $$\begin{cases} -u''=f \\ u(0)=0 \\ u(1)= \alpha \end{cases}$$ with FEM using reference elements and local coordinates.
So we have the global matrix $$K_{ij}=\int_\Omega N_i'(x) N_j'(x)$$.
Computing each local matrix for a 2noded element, I have $$K^e(\x... | 2019-07-17T22:24:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=188409 | ## commutation relations
i need to find the commutation relation for:
$$[x_i , p_i ^n p_j^m p_k^l]$$
I could apply a test function g(x,y,z) to this and get:
$$=x_i p_i ^n p_j^m p_k^l g - p_i ^n p_j^m p_k^l x_i g$$
but from here I'm not sure where to go. any help would be appreciated.
PhysOrg.com science news on P... | 2013-05-24T17:55:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1750867/isomorphism-of-quotient-ring-bbb-qx-langle-x3-rangle | Isomorphism of Quotient ring $\Bbb Q[x]/\langle x^3\rangle$
$\Bbb Q[x]/\langle x^3\rangle$ is isomorphic to $R$. Find $R$.
I know about $\Bbb Q[x]/\langle x\rangle$ is isomorphic to $\Bbb Q$ by the isomorphism $T(f(x))=f(x=0)$.
$\Bbb Z[x]/\langle(x-1)(x-2)\rangle$ is isomorphic to $\Bbb Z\times \Bbb Z$ by the isomor... | 2019-07-23T17:59:45 | {"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... |
http://stats.stackexchange.com/questions/4579/is-the-lagrange-function-objective-plus-lambda-times-constraints-or-objective-mi | # Is the Lagrange function objective plus lambda times constraints or objective minus lambda times constraints?
My question is: plus or minus?
Is the Lagrange function:
• the objective PLUS lambda times constraints, or
• the objective function MINUS lambda times constraints?
Example: want to maximize A=xy subject t... | 2013-12-08T21:16:00 | {"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": 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/2064158/using-stokes-theorem-to-evaluate-a-line-integral | # Using Stokes' theorem to evaluate a line integral
I have a problem where I have to evaluate the line integral by evaluating the surface integral in Stokes's theorem with a choice $S$, assuming $C$ has a counterclockwise orientation.
The $F= \left< 2y,-z,x \right>$ and $C=x^2+y^2=12$ on $z=0$.
I get the $\operatorn... | 2019-06-27T08:38:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/521e1f8ae4b06211a67e093c | anonymous 2 years ago 6500=5000(1.042)^x
1. anonymous
Find x?
2. anonymous
yea
3. anonymous
Use a logarithm.
4. anonymous
i got it to 13=10(1.042)^x
5. anonymous
Is it $$13 = 10 * 1.024^x$$ ?
6. anonymous
yea
7. anonymous
i just dont remember how to solve for variables as exponents
8. anonymous
9. anony... | 2016-05-29T21:05:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/58223/is-there-anything-that-doesnt-mix-with-water-or-oil?noredirect=1 | # Is there anything that doesn't mix with water or oil?
It's well known that water and oil don't mix, and if you put them together, the oil will float on top of the water in a distinct layer. My understanding is that this is because water is polar due to oxygens high electronegativity and oil is not. Most liquids and ... | 2021-12-04T13:56:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/406596/complete-a-bayesian-network-by-specifying-the-probability-distributions | # Complete a Bayesian Network by specifying the probability distributions
I have a hierarchical Bayesian Network like this:
Here:
$$R≡$$ log level of poisonous gas (radon) in a house
$$B≡$$ type of house (With a basement or without)
$$C≡$$ a county in Minnesota where the house is located (84 of those)
$$U≡$$ log ... | 2019-06-26T16:52:43 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://deepai.org/publication/partial-predicate-abstraction-and-counter-example-guided-refinement | # Partial Predicate Abstraction and Counter-Example Guided Refinement
In this paper we present a counter-example guided abstraction and approximation refinement (CEGAAR) technique for partial predicate abstraction, which combines predicate abstraction and fixpoint approximations for model checking infinite-state syste... | 2021-12-06T15:29:22 | {"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.nature.com/articles/s42003-021-02712-y?error=cookies_not_supported&code=3d07fe8a-4ed2-4666-9361-64e7f8e7285a | Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | 2021-10-28T22:00:00 | {"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": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/70371/greatest-common-divisor-of-a2n-1-and-b2n-1/70389 | Greatest common divisor of a^{2^n}-1 and b^{2^n}-1
Let a and b be coprime integers. Do we know, expect, or unexpect that there are infinitely many primes p which divide
$gcd(a^{2^n} - 1, b^{2^n}-1)$
for some n? Certainly any Fermat prime will divide both if I let n get large enough, but one doesn't know whether ther... | 2015-01-27T23:20:12 | {"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... |
https://www.revision.co.zw/experiment-current-voltage/ | # Experiment: Current and Voltage
////Experiment: Current and Voltage
## Experiment: Current and Voltage
### ZIMSEC O Level Combined Science Notes: Experiment: Current and Voltage
Aim: To show how current changes with voltage and to find the resistance of a resistor
Materials: Three/Four 1.5V battery cells, ammete... | 2018-12-10T17:31:07 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Solar_rotation | # Solar rotation
The solar rotation can be seen in the background
Solar rotation varies with latitude because the Sun is composed of a gaseous plasma. The rate of rotation is observed to be fastest at the equator (latitude φ = 0 °), and to decrease as latitude increases. At the equator the solar rotation period is 24... | 2017-01-25T00:53:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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://physics.stackexchange.com/questions/5373/quantum-death-like-heat-death-possible | # Quantum death like heat death possible?
Quantum decoherence is an irreversible process which is the result of interaction of the system with its environment. It prevents interference due to lack of coherence. Environment acts just like a heat bath. Now my question is, is the different branches of the wave function o... | 2014-07-23T05:01:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/95031/vector-bundle-of-rank-2-and-degree-1-on-an-elliptic-curve | # Vector bundle of rank 2 and degree 1 on an elliptic curve
I'm trying to prove the following problem in the Deformation theory book by Hartshorne.
Any normalized vector bundle $\mathcal E$ of rank 2 degree 1 on an elliptic curve $\mathcal C$ can be written as a non-split extension
$0 \to \mathcal{O_C} \to \mathcal{... | 2016-05-07T01:01:58 | {"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://stats.stackexchange.com/questions?sort=newest | # All Questions
5 views
### How to sample when you don't know the distribution
I'm fairly new to statistics (a handful of beginner-level Uni courses) and was wondering about sampling from unknown distributions. Specifically, if you have no idea about the underlying distribution, ...
6 views
### Cannot intuitively g... | 2014-10-24T12:41:52 | {"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://www.sunclipse.org/?m=201607 | # A Frabjous, Albeit Delayed, Day
David Mermin thanked me for finding a glitch in one of his papers. I can retire now, right?
The matter concerns “Hidden variables and the two theorems of John Bell” [Reviews of Modern Physics 65, 3 (1993), pp. 803–15]. Specifically, we turn our attention to Figure 4, the famous “Merm... | 2017-03-30T10:55:55 | {"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://www.hackmath.net/en/math-problem/889 | # Tower
How many m2 of copper plate should be to replace roof of the tower conical shape with diameter 24 m and the angle at the vertex of the axial section is 144°?
Correct result:
S = 476 m2
#### Solution:
$r = 24/2 = 12 \ m \ \\ s = r / \sin(144 ^\circ / 2) = 12.62 \ m \ \\ \ \\ S = \pi r s = \pi \cdot 12 \cdo... | 2021-01-18T19:10:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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://samarpanindia.co.in/railing/557-600feet-of-fence-an-enclosed-region-22500.html | Home > Garden Railing | Best Ideas Stairs House Design | Staircase Railing > 600feet of fence an enclosed region 22500
# Search for: 600feet of fence an enclosed region 22500
#### A farmer has 600m of fencing to enclose a rectangular area ...
14/09/2009 & 0183;& 32;Now imagine that section of fence getting infinites... | 2021-06-18T15:15:53 | {"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/414194/bounded-linear-operator-on-a-normed-space-with-bounded-inverse-and-dense-range/414450 | # Bounded linear operator on a normed space with bounded inverse and dense range
Does there exist such an operator $$T$$ (bounded and 1-1 on a normed space $$X$$, it's range $$R_{T}$$ is dense in $$X$$ and $$T^{-1}: R_{T}\to X$$ is bounded) which is not surjective? In other words, does there exist a normed space isome... | 2022-05-23T06:28:01 | {"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... |
https://socratic.org/questions/how-do-you-test-the-series-sigma-2-n-n-n-n-from-n-1-oo-by-the-ratio-test#538962 | # How do you test the series Sigma (2^n(n!))/n^n from n=[1,oo) by the ratio test?
Jan 21, 2018
The series converges.
See below.
#### Explanation:
We have:
sum_(n=1)^oo(2^n(n!))/(n^n)
The ratio test tells us the series will converge if :
${\lim}_{n \to \infty} \left\mid {a}_{n + 1} / {a}_{n} \right\mid < 1$
In ... | 2021-10-27T14:12:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 29, "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://math.stackexchange.com/questions/1849738/a-closed-form-lower-bound-approximating-p-n-m-s-nzn-left-sum-k-0s-f | # A Closed Form Lower Bound Approximating $p_{n,m,s} = n![z^n]\left(\sum_{k=0}^s\frac{z^k}{k!}\right)^m$
Here, I found $p_{n,m,s} = n![z^n]\left(\sum_{k=0}^s\frac{z^k}{k!}\right)^m = \sum\limits_{\substack{k_1 + \cdots + k_m=n\\0\leq k_i \leq s}} \frac{n!}{k_1!\cdots k_m!}$ as the number of ways to distribute $n$ dist... | 2019-07-22T09:59:12 | {"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... |
https://encyclopediaofmath.org/index.php?title=Linear_connection&direction=next&oldid=17268 | Linear connection
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
A linear connection on a differentiable manifold $M$ is a differential-geometric structure on $M$ associated with an affine connection on $M$. For every affine connection a parallel displacement of vectors is defined, which m... | 2021-10-28T12:11:29 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://puzzling.stackexchange.com/questions/61132/scheduling-meetings | # Scheduling Meetings
I came across this problem in real life and thought it could be made into an interesting puzzle. I will enjoy seeing how my eventual solution could be improved!
Here's the situation.
• There are 290 themes that need to be discussed.
• Each theme requires discussion by some subset of 22 people.
... | 2021-06-15T07:45:31 | {"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/mat... |
https://socratic.org/questions/what-is-the-molar-volume-of-200-0-grams-of-carbon-monoxide | # What is the molar volume of 200.0 grams of carbon monoxide??
Dec 28, 2014
Molar volume problems must contain some information about pressure and temperature, that is the only way a value for a substance's molar volume can be determined. Here's how that works:
Starting from the ideal gas law, $P V = n R T$, let's t... | 2021-06-20T19:58:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 8, "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.readkong.com/page/determination-of-photonuclear-reaction-cross-sections-on-8653995 | # Determination of Photonuclear Reaction Cross-Sections on stable p-shell Nuclei by Using Deep Neural Networks - arXiv
Determination of Photonuclear Reaction Cross-Sections on stable p-shell
Nuclei by Using Deep Neural Networks
Serkan Akkoyun1,3,*, Hüseyin Kaya1, Abdulkadir Şeker2,3, Saliha Yeşilyurt2,3
1
Department... | 2020-10-31T01:24:56 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/335376/finding-the-inverse-of-a-function/335380 | # Finding the inverse of a function
In my notes, I have an example of finding the inverse to a function defined as follows:
$$f:\{x\in\mathbb{R}\mid x\neq 0\}\to\{x\in\mathbb{R}\mid x\neq 2\}, f(x)\mapsto\frac{2x-1}{x}$$
The prof went on to prove that the function was bijective before finding the inverse. By solving... | 2015-08-31T16:01:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2857580/finding-tension-in-a-freely-sliding-ring-on-a-wire | # Finding tension in a freely sliding ring on a wire
A heavy small ring of weight $W$ is free to slide on a smooth surface wire of radius $a$, fixed in a vertical plane. It is attached by a string of length $l$ where
$$2a > l > a\sqrt{2}$$
to a point on the wire in a horizontal line with the centre. Find tension in ... | 2018-10-21T03:16:30 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/71788/basic-question-on-bra-ket-notation | # Basic question on bra-ket notation
Which of the following corresponds to a $\psi(x)$, a wavefunction written in the position basis: $x| \psi\rangle$ or $\langle x| \psi\rangle$? If it is the second expression (which my textbook asserts), what is the meaning of the first expression?
-
physics.stackexchange.com/q/657... | 2015-07-29T02:47:39 | {"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://icml.cc/Conferences/2020/ScheduleMultitrack?event=5930 | Timezone: »
Poster
Naive Exploration is Optimal for Online LQR
Max Simchowitz · Dylan Foster
Thu Jul 16 12:00 PM -- 12:45 PM & Thu Jul 16 11:00 PM -- 11:45 PM (PDT) @ None #None
We consider the problem of online adaptive control of the linear quadratic regulator, where the true system parameters are unknown. We p... | 2020-12-05T09:27:46 | {"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://sachinashanbhag.blogspot.com/2012/05/ | ## Wednesday, May 30, 2012
### Non-Uniform Quadrature Points in Octave/Matlab
Suppose you are given a bunch of points in the form of a vector x (between "a" and "b") and an accompanying density function p(x)>0. For concreteness, consider
x = [0:0.1:1.0]'; px = 0.3 - (x-0.5).^2;
The top subfigure depicts the densit... | 2018-03-25T05:15:51 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://abruzzoemozione.it/maig/what-are-3-types-of-ratios.html | Sheldon believed these physical characteristics also influenced personality. Both male and female progeny show exactly the same phenotypic ratios for characters controlled by autosomal genes. There is a further distinction between interval and ratio level variables. ” If your index finger is 3. The ratio of 4 to 8 to 1... | 2020-06-07T03:32:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.sparrho.com/item/models-of-universe-with-a-polytropic-equation-of-state-i-the-early-universe/10e6497/ | # Models of universe with a polytropic equation of state: I. The early universe
Research paper by Pierre-Henri Chavanis
Indexed on: 28 Feb '14Published on: 28 Feb '14Published in: The European Physical Journal Plus
#### Abstract
We construct models of universe with a generalized equation of state $$p=(\alpha \rho +... | 2020-09-24T21:01:12 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/8988/maximum-term-of-a-b-n | # Maximum term of (a + b) ^ n
I would like a demonstration of the fact below.
Being given real numbers a and b (nonzero) and a positive integer n, the order p, that occupies the maximum term (in absolute value) of the development of power (a+b)^ n, according to decreasing powers of a is given by:
p = 1 + integer par... | 2014-03-11T15:59:42 | {"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... |
http://mathhelpforum.com/calculus/24249-ivp-print.html | # Ivp
Printable View
• December 5th 2007, 06:22 PM
blurain
Help with an IVP
1) In recent years, Massachusetts has experienced a population explosion, not of people but of wild turkeys. The bird had virtually disappeared here when, in 1972, 37 turkeys were trucked over the border and released into the wild. There are ... | 2013-12-05T16:35:15 | {"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": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://libatoms.github.io/QUIP/crack.html | # Tools for fracture simulations¶
Module contents for quippy.crack:
Classes
CrackParams([filename,validate]) This type contains all the parameters for a crack simulation, each of which is described briefly below. ConstantStrainRate(orig_height, delta_strain) Constraint which increments epsilon_yy at a constant stra... | 2019-02-21T14:39:05 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://datascience.stackexchange.com/questions/71688/when-to-use-k-medoids-over-k-means-and-vice-versa | # When to use k-medoids over k-means and vice versa?
I had someone ask me about k-medoids at work and don't know about the performance of this algorithm over other clustering algorithms (namely k-means as it is most similar to it). In this case, it was recommended for use on taxonomic data (ie bacterial/viral species/... | 2021-09-25T18:46:19 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codereview.stackexchange.com/questions/270307/hackerrank-array-manipulation-challenge-using-microsoft-concurrent-extensions | # HackerRank "Array Manipulation" challenge (using Microsoft concurrent extensions)
I've been practising my coding skills because I have an interview coming up. The HackerRank challenge has 16 test cases; the code passes 9 of them and the other 7 time out.
If you go to HackerRank Problems Data Structures you might be... | 2021-11-30T06:48:54 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://engineering.stackexchange.com/questions/38658/machinability-index-for-ferrous-and-nonferrous-material/38660#38660 | Machinability index for ferrous and nonferrous material [closed]
What are the machinability index for ferrous and non-ferrous materials?
• Are you sure its machinability indes and not machinability index? Nov 15, 2020 at 15:31
Here is a detailed list for metals both ferrous like steel and cast iron and, nonferrous l... | 2022-05-21T09:35:39 | {"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... |
http://math.stackexchange.com/questions/237146/linear-projection-and-matrix-representation | Linear projection and matrix representation
"Let $V$ be a finite-dimensional vector space and T be the projection on $W$ along $W'$, where $W$ and $W'$ are subspaces of $V$. Find an ordered basis $\beta$ for $V$ such that $[T]_\beta$ is a diagonal matrix."
Playing around in $R^2$ and $R^3$ I found it difficult to rea... | 2014-04-19T12:51:42 | {"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://ask.sagemath.org/question/36681/how-to-make-a-symbolic-function-of-a-matrix/ | # How to make a symbolic function of a matrix ?
Hi,
I'm beginning with Sage. I've got two matrix Qf and Xf defined by :
Qf = 1000000*matrix([[0,0],[0,1]]);
Xf = matrix([1],[1675]);
I would like to write a symbolic function "f" which would take a matrix X with 2 rows & 1 column.
X = var('X');
f(X) = ((X-Xf).transp... | 2018-03-21T04:49:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.komal.hu/verseny/feladat.cgi?a=feladat&f=B4743&l=en | English Információ A lap Pontverseny Cikkek Hírek Fórum
Rendelje meg a KöMaL-t!
VersenyVizsga portál
Kísérletek.hu
Matematika oktatási portál
B. 4743. The inscribed circle of triangle $\displaystyle ABC$ touches sides $\displaystyle BC$, $\displaystyle AC$ and $\displaystyle AB$ at points $\displaystyle A_1$, $\di... | 2017-10-19T12:54:15 | {"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/calculus/143654-please-help-me-solve-ff-log-problems.html | Without the use of a calculator.
1. e^ln0.1
2. log(base)2 3. log(base)3 4. log(base)4 8
3. e^log(base)e^2^9
4. ln(y+4)=5x+lnC
5. log(base)5(x+6)+log(base)5 (x+1)=1
Determine the domain of the ff:
f(x)=log(base)2 (xsquare-3x+2).
When i say log(base)2, I mean the no that goes underneath the log.
Thanks a lot!
2. Origi... | 2015-08-28T18:09:58 | {"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": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.dm.unipi.it/eventi/renormalization-of-analytic-maps-of-the-annulus-and-applications-to-conjugacy-problems-michael-yampolsky/ | # Renormalization of analytic maps of the annulus and applications to conjugacy problems – Michael Yampolsky (Univ. of Toronto)
CRM – SNS.
#### Abstract
In a recent series of works with N. Goncharuk, we have constructed an analytic renormalization operator acting on conformal maps of the annulus. We showed that this... | 2023-03-22T06:42:52 | {"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://math.stackexchange.com/questions/1687711/channels-with-memory-have-higher-capacity | # Channels with memory have higher capacity
I am working through Elements of Information Theory by Cover and Thomas and have come across the following solution to one of their problems that I don't understand.
Consider a binary, symmetric channel with $Y_i = X_i + Z_i$, where $+$ is mod2 addition and $X_i, Y_i \in \{... | 2019-10-23T19:08:45 | {"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://www.physicsforums.com/threads/energy-of-fission.228369/ | # Energy of fission
1. Homework Statement
Find the energy which comes out with fission of the nucleus of deuterium and tritium, so we receive like product the nucleus of helium.
mass of tritium$$m(\stackrel{3}{1}H)=3,016049u$$
mass of the nucleus of deuterium $$m(\stackrel{2}{1}H)=2,013553u$$
mass of the nucleus of ... | 2019-12-06T11:45:13 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.quizerry.com/2020/12/week-1-problem-set-cryptography-i/ | # Week 1 – Problem Set >> Cryptography I
## Week 1 – Problem Set >> Cryptography I
Week 1 – Problem Set LATEST SUBMISSION GRADE 80% 1. Question 1 Data compression is often used in data storage and transmission. Suppose you want to use data compression in conjunction with encryption. Does it make more sense to: 0 / 1 ... | 2021-04-18T05:12:55 | {"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://web2.0calc.com/questions/help-please-thanks_2 | +0
0
127
2
1) For what value of the constant a does the system of equations below have infinitely many solutions?
\begin{align*} 3x + 2y &= 8,\\ 6x &= 2a - 7 - 4y \end{align*}
I tried over and over again and don't seem to get the right answer. I got 23/6(or sothing like that) for the first time and now 37/6 ...
2)... | 2019-03-26T21:25:35 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/258666/molar-specific-heat-definitions-for-gases | # Molar Specific Heat Definitions for Gases
In most textbooks, the molar specific heat of a gas is defined for gases at constant volume and constant pressure as follows :
1. $$C_v = \frac{Q}{n\Delta T} = \frac{\Delta U}{n \Delta T}$$
2. $$C_p = \frac{Q}{n \Delta T}$$
But these definitions can also be related by $$C... | 2022-06-30T04:32:26 | {"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.physicsforums.com/threads/parametric-2nt-deratives.283226/ | # Parametric 2'nt deratives
## Homework Statement
find the slope and concavity of the funtion at the given point.
x=t^2
Y=t^2+t+1
(0,0)
t=x^(1/2)
## The Attempt at a Solution
t=0 when x=0
x'=2t
y'=2t+1
M=2t/(2t+1)=0
for the second deritive would you take the deritive of 2t/(2t+1) devided by the deritive of 2t+1
on... | 2021-06-12T11:02:43 | {"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://www.mathematicalfoodforthought.com/2006/05/really-rooty-real-roots-topic_12.html | ## Friday, May 12, 2006
### Really Rooty Real Roots. Topic: Algebra/Calculus. Level: AIME/Olympiad.
Problem: (Problem-Solving Through Problems - 6.5.5(b)) If $a_0, a_1, \ldots, a_n$ are real numbers satisfying
$\frac{a_0}{1}+\frac{a_1}{2}+\cdots+\frac{a_n}{n+1} = 0$,
show that the equation $a_0+a_1x+\cdots+a_nx^n =... | 2019-11-22T07:43:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rip94550.wordpress.com/2008/02/10/schurs-lemma-any-matrix-is-unitarily-similar-to-an-upper-triangular/ | ## schur’s lemma: any matrix is unitarily similar to an upper triangular
i bumped into someone last night who asked me about schur’s lemma, something about bringing a matrix to triangular form. i’ve spent so much time looking at diagonalizng things that i didn’t appreciate schur’s lemma, and it deserves to be apprecia... | 2017-07-26T20:43:33 | {"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": 0, "img_math": 20, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/56116-dealing-infinite-limits.html | # Math Help - Dealing with infinite limits.
1. ## Dealing with infinite limits.
4 limit problems. I've done all the work. I just wanted to make sure I'm understanding this correctly, and hoping someone will double check that I'm doing the work right. Thanks for your time!
Find the limit of the sequences:
(1) = lim ... | 2015-05-25T00:50:10 | {"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://kilthub.cmu.edu/articles/journal_contribution/Lehman_Matrices/6706511/1 | Lehman Matrices.pdf.pdf' (244.34 kB)
# Lehman Matrices
journal contribution
posted on 01.02.1968, 00:00 by Gerard CornuejolsGerard Cornuejols, Betrand Guenin, Levent Tunçel
A pair of square 0, 1 matrices A,B such that ABT = E + kI (where E is the n × n matrix of all 1s and k is a positive integer) are called Lehman m... | 2022-05-27T02:06:32 | {"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://mathoverflow.net/questions/259162/super-extensions-of-the-poincar%c3%a9-lie-algebra | # Super-extensions of the Poincaré Lie algebra
For $(\mathfrak{g},[-,-])$ an ordinary Lie algebra let me say that a super-extension of it (maybe not the best terminology) is a super-Lie algebra $(\mathfrak{s}, [-,-]_{\mathfrak{s}})$ whose bosonic component is exactly $(\mathfrak{g}, [-,-])$, hence whose underlying sup... | 2022-01-21T06:13:27 | {"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://www.njohnston.ca/publications/schur-norms-hadamard-matrices/ | ## Real Schur norms and Hadamard matrices
Abstract:
We present a preliminary study of Schur norms $\|M\|_{\textup{S}}=\max\{ \|M\circ C\|: \|C\|=1\}$, where M is a matrix whose entries are $\pm1$, and $\circ$ denotes the entrywise (i.e., Schur or Hadamard) product of the matrices. We show that, if such a matrix M is ... | 2022-12-10T01:46:24 | {"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": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=0917.49002 | # zbMATH — the first resource for mathematics
On Bellman spheres for linear controlled objects of second order. (English) Zbl 0917.49002
Let be given the dynamic controlled object defined by $\dot{x}= Ax+Bu,\quad x \in \mathbb{R}^{n},\quad u \in U \subset R^{m},\tag{*}$ where the constant matrices define linear mappin... | 2021-10-23T10:59:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/3920925/can-you-solve-for-x-for-the-equation-252-log-10-x-x | # Can you solve for x for the equation $25+2^{\log_{10} x}=x$?
Solve for $$x$$ : $$25+2^{\log_{10} x}=x$$
My work
Well, I could not figure out an algebraic solution to this problem. $$25+2^{\log_{10} x}=x \implies 5^2+x^{\log_{10} 2}=x$$ $$\implies x^{\log_{10}2}-x-25=0$$ which does not seem to be solved further.
I... | 2021-10-21T17:11:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://viam.science.tsu.ge/ticmi/announcements/announcement/2003 | Main Page
TICMI
## MATHEMATICS AND INFORMATICS
### ANNOUNCEMENTS FOR 2003
CALL FOR PAPERS
On April 22-24, 2003 the Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University will be held under the support of ISMP at UNESCO.
The sections of the semi... | 2018-08-14T21:57:21 | {"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://openstudy.com/updates/5005a0e1e4b062418066c882 | ## Australopithecus 2 years ago A bag of cement of weight 375 N hangs from three wires as suggested in Figure P5.24. Two of the wires make angles q1 = 55.0° and q2 = 31.0° with the horizontal. If the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. can someone show me how to solve this problem?
... | 2015-02-27T15:24:55 | {"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://encyclopediaofmath.org/wiki/Loop | # Loop
Jump to: navigation, search
A quasi-group with an identity, that is, with an element $e$ such that $xe = ex = x$ for every element $x$ of the quasi-group. The significance of loops in the theory of quasi-groups is determined by the following theorem: Any quasi-group is isotopic (see Isotopy) to a loop. Therefo... | 2021-07-30T03:25:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://oa.journalfeeds.online/2022/08/19/a-new-polarization-direction-measurement-via-local-radon-transform-and-error-correction-eurasip-journal-on-advances-in-signal-processing/ | # A new polarization direction measurement via local Radon transform and error correction – EURASIP Journal on Advances in Signal Processing
#### ByWei Wang, Chao Gao, Xingwei Yan and Jianhua Shi
Aug 19, 2022
It has been verified that, when the input light was analyzed by an azimuthally (or a radially spatial modula... | 2023-03-31T13:48:24 | {"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/mat... |
https://www.physicsforums.com/threads/general-relativity-circular-orbit-around-earth.795470/ | # General Relativity - Circular Orbit around Earth
Tags:
1. Feb 1, 2015
### unscientific
1. The problem statement, all variables and given/known data
(a) Find the proper time in the rest frame of particle
(b) Find the proper time in the laboratory frame
(c) Find the proper time in a photon that travels from A to B ... | 2017-10-22T11:07:46 | {"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://proofwiki.org/wiki/Definition:Principle_of_Finite_Induction/Induction_Hypothesis | # Definition:Principle of Finite Induction/Induction Hypothesis
Jump to navigation Jump to search
## Terminology of Principle of Finite Induction
Consider a Proof by Finite Induction.
The assumption made that $n \in S$ for some $n \in \Z$ is the induction hypothesis.
## Also known as
The induction hypothesis can ... | 2019-12-10T00:12:35 | {"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://codereview.stackexchange.com/questions/8928/find-the-smallest-regular-number-that-is-not-less-than-n-python | # Find the smallest regular number that is not less than N (Python)
This is from an answer to my own StackOverflow question on how to efficiently find a regular number that is greater than or equal to a given value.
I originally implemented this in C# but translated it to Python because I guessed (correctly) that it ... | 2021-02-25T01:37:30 | {"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.nature.com/articles/s41550-017-0361-4?utm_content=bufferc0423&utm_medium=social&utm_source=twitter.com&utm_campaign=buffer&error=cookies_not_supported&code=64a42a85-959f-4f39-80c2-cfbdecfab103 | Letter | Published:
# Spectroscopy and thermal modelling of the first interstellar object 1I/2017 U1 ‘Oumuamua
Nature Astronomyvolume 2pages133137 (2018) | Download Citation
## Abstract
During the formation and evolution of the Solar System, significant numbers of cometary and asteroidal bodies were ejected into in... | 2019-01-16T22:18:35 | {"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": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/210068/calculating-the-distinguished-varieties-of-intersection-product/222039 | # Calculating the distinguished varieties of intersection product
In Fulton's Intersection theory Example 6.1.2，one considers two divisors on $\mathbf{P}^2$ given by $D_1=A+2B,D_2=2A+B$, where $A,B$ are lines meeting at a point.
Let $X=D_1\times D_2,Y=\mathbf{P}^2\times\mathbf{P}^2$, $V=\mathbf{P}^2$, $f\colon V\to Y... | 2018-11-16T02:15:41 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/bullet-penetration.739982/ | # Bullet penetration
1. Feb 23, 2014
### oneamp
If F=ma, why does a bullet that's going a constant velocity, have enough force to penetrate an object?
2. Feb 23, 2014
### Staff: Mentor
It doesn't go at a constant velocity. A bullet decelerates very rapidly.
3. Feb 23, 2014
### Staff: Mentor
A moving bullet doe... | 2016-08-31T16:12:01 | {"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... |
https://en.wikipedia.org/wiki/Bimodal_distribution | # Multimodal distribution
(Redirected from Bimodal distribution)
"Bimodal" redirects here. For the musical concept, see Bimodality.
Figure 1. A simple bimodal distribution, in this case a mixture of two normal distributions with the same variance but different means. The figure shows the probability density function (... | 2016-07-26T22:24:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 38, "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/ma... |
https://www.physicsforums.com/threads/find-a-solution-to-an-equation-with-2-variables.558541/ | # Homework Help: Find a solution to an equation with 2 variables
1. Dec 9, 2011
### xeon123
Hi,
I've this one equation.
Is it possible to find a solution for this equation? How?
5x+3y=29
Is this a linear equation?
2. Dec 9, 2011
### grzz
Yes it is a linear equation.
Given any set of values for x one can plot... | 2018-11-21T06:09:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tbc-python.fossee.in/convert-notebook/Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER01_3.ipynb | # CHAPTER01:AERODYNAMICS SOME INTRODUCTORY THOUGHTS¶
## Example E01 : Pg 12¶
In [1]:
# All the quantities are in SI units
#from math import sind,cosd,tand,sqrt,math
M_inf = 2.; # freestream mach number
p_inf = 101000.; # freestream static pressure
rho_inf = 1.23; # freestream density
T_inf = 288.; # freestream temper... | 2021-06-23T23:53:35 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/391710/kinetic-energy-when-observer-is-moving-and-object-is-stationary?noredirect=1 | # Kinetic energy when observer is moving and object is stationary [duplicate]
I know kinetic energy is due to motion of an object. But what if, I, the observer of an object is moving and that object appears to be moving for me, then which one has kinetic energy. is it me or that object?I mean the object doesn't actual... | 2020-07-14T07:13:10 | {"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://leetcode.com/articles/range-sum-of-bst/ | ## Solution
Intuition and Algorithm
We traverse the tree using a depth first search. If node.val falls outside the range [L, R], (for example node.val < L), then we know that only the right branch could have nodes with value inside [L, R].
We showcase two implementations - one using a recursive algorithm, and one us... | 2019-08-18T05:17:45 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://projecteuclid.org/euclid.dmj/1077306456 | ## Duke Mathematical Journal
### Degenerations of the hyperbolic space
#### Article information
Source
Duke Math. J. Volume 56, Number 1 (1988), 143-161.
Dates
First available: 20 February 2004
http://projecteuclid.org/euclid.dmj/1077306456
Mathematical Reviews number (MathSciNet)
MR932860
Zentralblatt MATH iden... | 2014-03-17T18:50:25 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an%3A0591.12005 | zbMATH — the first resource for mathematics
On the insolubility of a class of diophantine equations and the nontriviality of the class numbers of related real quadratic fields of Richaud-Degert type. (English) Zbl 0591.12005
We establish criteria for the insolubility in integers $$(x,y)$$ of $$x^ 2-ny^ 2=\pm 4t$$ wher... | 2021-09-23T09:53:15 | {"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://www.ck12.org/book/People%2527s-Physics-Book-Version-3-%2528with-Videos%2529/r3/section/8.2/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are reading an older version of this FlexBook® textbook: People's Physics Book Version 3 (with Videos) Go to the latest version.
# 8.2: Key Concepts
Difficulty Level: At Grade Create... | 2015-10-08T22:37:31 | {"extraction_info": {"found_math": true, "script_math_tex": 5, "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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