url
stringlengths
15
1.13k
text
stringlengths
100
1.04M
metadata
stringlengths
1.06k
1.1k
http://hellenicaworld.com/Science/Physics/en/Photon.html
### - Art Gallery - The photon is a type of elementary particle. It is the quantum of the electromagnetic field including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force. Photons are massless,[a] so they always move at the speed of light in vacuum, 299792458...
{"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/819887/uniqueness-of-the-comparison-functor
# Uniqueness of the Comparison Functor Suppose $F:C\rightarrow D$ and that $F\dashv U$ is an adjunction and $C^{T}$ the Eilenberg–Moore category for the monad $T=U◦F$, with the corresponding functors $F^{T}:C\rightarrow C^{T}$ and $U^{T}:C^{T}\rightarrow C$. I have been able to prove that there is a comparison functo...
{"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://collaborate.princeton.edu/en/publications/finite-sample-risk-bounds-for-maximum-likelihood-estimation-with-
# Finite-Sample Risk Bounds for Maximum Likelihood Estimation with Arbitrary Penalties W. D. Brinda, Jason M. Klusowski Research output: Contribution to journalArticlepeer-review ## Abstract The minimum description length two-part coding index of resolvability provides a finite-sample upper bound on the statistical...
{"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://richbeveridge.wordpress.com/2013/11/08/infinite-series-approximations-for-trigonometric-functions-from-14th-century-india/
Feeds: Posts ## Infinite Series Approximations for Trigonometric functions from 14th century India The infinite series approximations that have been used for many years to calculate the values of trigonometric functions have traditionally been attributed to Brook Taylor and Colin Maclaurin, European mathematicians of...
{"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": 1, "mimetex.cgi": 0, "/images/mat...
https://www.snapxam.com/problems/50614810/integral-of-1-5-1x-0-5-dx-from-5-0-to-5
Step-by-step Solution Go! 1 2 3 4 5 6 7 8 9 0 a b c d f g m n u v w x y z . (◻) + - × ◻/◻ / ÷ 2 e π ln log log lim d/dx Dx |◻| = > < >= <= sin cos tan cot sec csc asin acos atan acot asec acsc sinh cosh tanh coth sech csch asinh acosh atanh acoth asech acsch Step-by-step explanation Problem to solve: $\int_{-5}...
{"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.m.wikipedia.org/wiki/Statistical_proof
Statistical proof Statistical proof is the rational demonstration of degree of certainty for a proposition, hypothesis or theory that is used to convince others subsequent to a statistical test of the supporting evidence and the types of inferences that can be drawn from the test scores. Statistical methods are used t...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 9, "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://benchmarkfcns.xyz/benchmarkfcns/ackleyn4fcn.html
# Plots Two contours of the function are presented below: # Description and Features • The function is not convex. • The function is defined on n-dimensional space. • The function is non-separable. • The function is differentiable. # Input Domain The function can be defined on any input domain but it is usually ev...
{"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...
https://www.toptica.com/toptica-news/first-ever-precision-spectroscopy-of-antihydrogen-using-a-toptica-laser/
# First-ever precision spectroscopy of Antihydrogen – using a TOPTICA laser! ǀ  Blog A TA-FHG pro laser was used for the first-ever optical spectroscopy on an antimatter atom. CERN scientists have published the first-ever measurement on the optical spectrum of an antimatter atom. A TOPTICA TA-FHG pro was used for th...
{"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.newslytica.com/post/the-case-of-hydroxychloroquine
Search • Sai Charan # The Case Of Hydroxychloroquine There is no proven cure for treating COVID-19. However, there are a couple of medicines that are being used to treat the symptoms of COVID-19. One of them is Hydroxychloroquine. Hydroxychloroquine has been in limelight ever since President Trump declared it a mirac...
{"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://mathhelpforum.com/advanced-statistics/32482-moment-generating-function-poisson-disttribution.html
# Math Help - moment generating function for poisson disttribution 1. ## moment generating function for poisson disttribution Hi guys i am new. I have a problem in finding moment generating functions. The forum helped me in solving binomial, geometric and other few random equations but i still couldn't understand how...
{"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": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://sciencehouse.wordpress.com/2009/04/25/waiting-in-airports/
# Waiting in airports I was visiting the University of Utah this past week.  I gave talks on the Kinetic Theory of Coupled Oscillators and on Deriving Moment Equations for Neural Networks. On my way to the airport I wondered what would be the optimal arrival time so that you spend the least amount of time waiting in t...
{"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": 8, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/users/43438/joseph-garvin?tab=activity&sort=comments
Joseph Garvin Reputation Next privilege 250 Rep. Nov4 comment Concrete Mathematics - Stability of definitions in the repertoire method Brilliant! Never occurred to me to plug the closed form back into the recurrence to convince myself, but that makes sense to try since that's where the structure is coming from. Thanks...
{"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://mathonline.wikidot.com/the-alternating-series-test
The Alternating Series Test # The Alternating Series Test So far we have looked at the following tests to determine if a series was convergent or divergent: We haven't been able to use any of these tests to determine if a negative or partially negative series was convergent or divergent though. The following test wi...
{"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/296689/show-that-y-sup-c
# Show that $y=\sup (C)$ Let $A \subseteq \mathbb{R}$ nonempty and bounded above. Also, let $C = \{x+100 : x \in A\}$ Consider $M$ in $\mathbb{R}$ such that $M < y$. Is $M-100$ an upper bound for $A$? Why? Use this result to show that $y=\sup (C)$ - What is $y$? ${}{}$ –  Git Gud Feb 6 '13 at 23:11 @Git, if you put...
{"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/gravity-on-a-very-small-scale.521170/
# Gravity on a very small scale 1. Aug 12, 2011 ### ArcanaNoir Hi.. umm, I'm from the math department, and um...I'm shy.... hello physics people... So I saw this thing on tv, I think it was Through the Wormhole..I'm not sure..and um, don't judge me for watching "science for the uneducated masses".... But anyway, t...
{"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://worldebooklibrary.org/articles/eng/Deterministic_pushdown_automaton
#jsDisabledContent { display:none; } My Account |  Register |  Help # Deterministic pushdown automaton Article Id: WHEBN0003972656 Reproduction Date: Title: Deterministic pushdown automaton Author: World Heritage Encyclopedia Language: English Subject: Collection: Publisher: World Heritage Encyclopedia Publication ...
{"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://mathhelpforum.com/differential-equations/145822-solving-de-spread-rumour.html
# Math Help - Solving DE for the spread of a rumour. 1. ## Solving DE for the spread of a rumour. here is my problem and what I have done so far. Attached Thumbnails 2. The integral of $\frac{dx}{x(1- x)}$ is NOT "ln|x(1- x)|". First write it as "partial fractions": $\frac{1}{x(1-x)}= \frac{A}{x}+ \frac{B}{1- x}$, t...
{"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": 33, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://www.zbmath.org/?q=an%3A07204025
× zbMATH — the first resource for mathematics Reversible disjoint unions of well orders and their inverses. (English) Zbl 07204025 Summary: A poset $$\mathbb{P}$$ is called reversible iff every bijective homomorphism $$f:\mathbb{P} \rightarrow \mathbb{P}$$ is an automorphism. Let $$\mathcal{W}$$ and $$\mathcal{W}^*$$...
{"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://ilja-schmelzer.de/forum/showthread.php?tid=43&pid=144
About Einstein's Leyden lecture Schmelzer Administrator Posts: 212 Threads: 30 Joined: Dec 2015 Reputation: 0 05-19-2016, 09:55 PM (05-19-2016, 07:41 PM)John Duffield Wrote: NB: perhaps you have the wrong idea about ether? See Einstein talking about it here in 1920. Einstein's Leyden lecture Ether and the theory of rel...
{"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://brilliant.org/problems/an-electricity-and-magnetism-problem-by-rohan/
# An electricity and magnetism problem by Rohan Gupta A wire of resistance 12 $$\Omega$$/m is bent to form a complete circle of radius 10 cm. The resistance between the two diametrically opposite ends is: ×
{"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/246974/how-to-prove-that-this-is-an-harmonic-funtion
# How to prove that this is an Harmonic funtion? Let $u$ be an Harmonic function in $B(0,a)$ in $R^3$ we define $I(x)=x\dfrac{a^2}{|x|^2}$ Let $w(x) = u(I(x))$. Is there a way to prove that $w$ is harmonic without making too much computation? If not I will make them my self. Thanks for your help! - In fact this ...
{"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/122754/for-what-rare-events-was-the-lhc-built/122764#122764
# For what rare events was the LHC built? I understand that for low cross-section events a very high luminosity is necessary in order to obtain enough data to produce meaningful statistics. That is why the LHC was built. But which are these event which we are interested in? What are the events which would hint at new...
{"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.physicsforums.com/threads/special-relativity-kinetic-energy.847254/
# Special Relativity -- Kinetic Energy 1. Dec 8, 2015 ### Barry Melby 1. The problem statement, all variables and given/known data An electron e− and positron e+ moving at the same speed in the Earth reference frame collide head-on and produce a proton p and an antiproton p¯. The electron and positron have the same ...
{"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://cursocomandoseletricos.com.br/anthony-intervention-mttef/viewtopic.php?page=binary-relation-pdf-42478b
are in R for every x in A. The set S is called the domain of the relation and the set T the codomain. Since binary relations are sets, we can apply the classical operations of set theory to them. This wavelet tree contains two bitmaps per level at each node v, Bvl and Bvr . Example 1.6. We ask that binary relation math...
{"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://quics.umd.edu/research/publications?s=year&amp%3Bf%5Bag%5D=N&amp%3Bf%5Bauthor%5D=2086&o=asc&f%5Bauthor%5D=1692
# Publications Export 1 results: Author Title Type [ Year] Filters: Author is Ron Taylor  [Clear All Filters] 2017 , Domination with decay in triangular matchstick arrangement graphs, Involve, a Journal of Mathematics, vol. 10, no. 5, pp. 749 - 766, 2017.
{"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://support.sas.com/documentation/cdl/en/statug/68162/HTML/default/statug_ttest_details14.htm
# The TTEST Procedure #### Two-Independent-Sample Design Define the following notation: ##### Normal Difference (DIST=NORMAL TEST=DIFF) Observations at the first class level are assumed to be distributed as , and observations at the second class level are assumed to be distributed as , where , , , and are unknown. ...
{"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://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Book%3A_Heat_and_Thermodynamics_(Tatum)/11%3A_Heat_Engines/11.07%3A_A_Useful_Exercise
$$\require{cancel}$$ # 11.7: A Useful Exercise It would probably not be a useful exercise to try to memorise the details of the several heat engine cycles described in this chapter. What probably would be a useful exercise is as follows. Note that in each cycle there are four stages, which, in principle at least (if ...
{"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:P-Integrable_Function
# Definition:Integrable Function/p-Integrable ## Definition Let $\struct {X, \Sigma, \mu}$ be a measure space. Let $f \in \MM_{\overline \R}, f: X \to \overline \R$ be a measurable function. Let $p \ge 1$ be a real number. Then $f$ is said to be $p$-integrable in respect to $\mu$ if and only if: $\displaystyle \i...
{"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/54935-abelian.html
# Math Help - Abelian 1. ## Abelian Prove that a group of order 4 is Abelian. To prove that a group is Abelian, I need to show that it has an identity, inverses, is associative, and is closed under the operation. I can definitely do this for specific groups, but I am not sure how to do this for a generality. Can som...
{"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": 19, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://quantumcomputing.stackexchange.com/questions/21612/does-rm-tr-pi-z-rho-pi-z-le-p-imply-cal-e-rho-and-cal-e-pi-z-r
# Does ${\rm tr}(\Pi_z\rho\Pi_z)\le p$ imply $\cal E(\rho)$ and $\cal E(\Pi_{-z}\rho\Pi_{-z})$ are close in trace distance? Suppose I have a quantum operation $$\mathcal{E}$$ and a state $$\rho$$ such that: $$\operatorname{tr}(\Pi_z \rho \Pi_z) \le p$$ for some probability $$p$$ and some projection $$\Pi_z$$ onto so...
{"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/matrices-and-norms.205009/
# Matrices and norms 1. Dec 17, 2007 ### mathboy I'm trying to understand one step in the following proof to the following problem: http://img402.imageshack.us/img402/264/82127528zq9.jpg [Broken] Last edited by a moderator: May 3, 2017 2. Dec 17, 2007 ### Kreizhn I'm not sure if this will help you explicitly, bu...
{"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.shaalaa.com/concept-notes/arithmetic-progression-ap_1825
# Arithmetic Progression (A.P.) #### notes A sequence a_1, a_2, a_3,…, an,… is called arithmetic sequence or arithmetic progression if a_(n + 1) = a_n + d, n ∈ N, where a_1 is called the first term and the constant term d is called the common difference of the A.P. The n^(th) term (general term) of the A.P. is a^n = ...
{"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.physicsforums.com/threads/hrmm-derivative-problems-concept.8052/
# Hrmm derivative problems (concept?) 1. Oct 30, 2003 ### VikingStorm I've been trying to do these concept-based questions, (but I think my concept isn't that sound). "Suppose f'(2)=4, g'(2)=3, f(2)=-1 and g(2)=1. Find the derivative at 2 of each of the following functions a. s(x)=f(x)+g(x) b. p(x)=f(x)g(x) c. q(x)...
{"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.physicsforums.com/threads/projectile-doubt.170461/
# Projectile doubt. 1. May 16, 2007 ### perfectz Projectile doubt....... CHOOSE THE CORRECT ANSWER AND EXPLAIN. What is the nature of proportionality between the muzzle angle and the horizontal distance traveled by a projectile? a) Directly proportional. b) Inversely proportional. c) None of the above. ( who say...
{"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.physicsforums.com/threads/got-an-astrophysics-astrodynamics-question.892851/
# Got an astrophysics/ astrodynamics question... 1. Nov 10, 2016 ### Oracle1 How would a solar system need to be set up to provide a life bearing world, standard 1 g, with the surface area of Jupiter with a standard day / night 24 hour cycle? 2. Nov 10, 2016 ### phinds I think that would work if the Earth were th...
{"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/414775/query-on-brahmagupta-fibonacci-identity
Query on Brahmagupta-Fibonacci Identity According to Brahmagupta-Fibonacci Identity, for $p=q\cdot r$ we can prove if any two of the integers $p,q,r$ are of the form $a^2+n\cdot b^2,$ the third must of the same form This is probably a generalization of this problem or this Now, I want to determine the $n$ such that ...
{"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://en.wikipedia.org/wiki/Seyfert_galaxy
# Seyfert galaxy The Circinus Galaxy, a Type II Seyfert galaxy Seyfert galaxies are one of the two largest groups of active galaxies, along with quasars. They have quasar-like nuclei (very luminous, distant and bright sources of electromagnetic radiation) with very high surface brightnesses whose spectra reveal stron...
{"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": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://researchportal.unamur.be/fr/publications/theoretical-and-computational-chemistry-of-complex-systems-solvat
# Theoretical and Computational Chemistry of Complex Systems: Solvation of DNA and Proteins E. Clementi, G. Corongiu, M. Gratarola, P. Habitz, C. Lupo, P. Otto, D. Vercauteren Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs ## Résumé As is known, atomic and very small molecular...
{"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/2110964/triviality-of-vector-bundles-over-lie-groups
# Triviality of vector bundles over Lie groups I was wondering whether the triviality of the tangent bundle of a Lie group is a shared feature with all other vector bundles over Lie groups. Naturally, the first example of a non-trivial vector bundle that comes to mind is the Moebius strip, which is a vector bundle ov...
{"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/145523/links-between-difference-and-differential-equations
# Links between difference and differential equations? Does there exist any correspondence between difference equations and differential equations? In particular, can one cast some classes of ODEs into difference equations or vice versa? • Correspondence in what sense? Could you suggest an example? – Pedro Tamaroff ...
{"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://unistroy.spbstu.ru/en/article/2021.94.5/
# Numerical and Analytical Study on Bending Stiffness of Sandwich Panels at Ambient and Elevated Temperatures Authors: Abstract: This paper presents an investigation on the bending stiffness of sandwich panels at ambient and elevated temperatures. A finite element (FE) model is developed to verify simulations with ex...
{"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://nag.com/numeric/FL/nagdoc_fl24/html/G03/g03dbf.html
G03 Chapter Contents G03 Chapter Introduction NAG Library Manual # NAG Library Routine DocumentG03DBF Note:  before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details. ## 1  Purpose G03DBF computes M...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 174, "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/m...
http://ibmaths4u.com/viewtopic.php?f=3&t=346&sid=68d8c7fdea183cf8ca1f298348a06f05
## Complex Numbers Quadratics Discussions for the Core part of the syllabus. Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths HL Revision Notes ### Complex Numbers Quadratics Complex Numbers, Quadratic over complex field - IB Mathematics H...
{"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": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://mathhelpforum.com/pre-calculus/190090-even-odd-functions.html
# Thread: Even And Odd Functions 1. ## Even And Odd Functions Hey I just took a quiz and got this question wrong: Is the given functions even, odd, or neither? $f(x) = - 4x + \left| {8x} \right|$ I answered it was odd because the x coefficient of both terms have a power of 1: $f(x) = - 4{x^1} + \left| {8{x^1}} \...
{"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": 37, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://www.ck12.org/algebra/Exponential-Properties-Involving-Products/lesson/Exponential-Properties-Involving-Products-ALG-I/
# Exponential Properties Involving Products ## Add exponents to multiply exponents by other exponents % Progress MEMORY METER This indicates how strong in your memory this concept is Progress % Exponential Properties Involving Products ### Exponential Properties Involving Products In expressions involving exponent...
{"extraction_info": {"found_math": true, "script_math_tex": 75, "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://luisrguzmanjr.wordpress.com/tag/taniyama-shimura-conjecture/
You are currently browsing the tag archive for the ‘taniyama-shimura conjecture’ tag. Taniyama-Shimura 3: L-Series where it will be crucial in the definition of modularity. For today, we assume our $latex {d}&fg=000000$-dimensional variety $latex {X/\mathbb{Q}}&fg=000000$ has the property that its middle etale cohomo...
{"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": 5, "mimetex.cgi": 0, "/images/mat...
https://icsecbsemath.com/2017/07/16/class-10-sample-problems-matrices-exercise-12a/
Question 1: State True or False. If False, please state the reason. 1. If $A$ and $B$ are two matrices of order $3 \times 2$ and $2 \times 3$ respectively; then their sum $A + B$ is possible. 2. The Matrices $A_{2 \times 3}$ and  $A_{2 \times 3}$ are conformable for subtraction. 3. Transpose of a $2 \times 1$ matrix i...
{"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": 147, "mimetex.cgi": 0, "/images/m...
http://www.physicsforums.com/printthread.php?t=286458
Physics Forums (http://www.physicsforums.com/index.php) -   Astronomy & Astrophysics (http://www.physicsforums.com/forumdisplay.php?f=71) -   -   Magnetic Reconnection vs Double Layers (http://www.physicsforums.com/showthread.php?t=286458) Suede Jan21-09 03:01 PM Magnetic Reconnection vs Double Layers http://en.wik...
{"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/1153750/galois-group-over-the-field-of-rational-functions
# Galois group over the field of rational functions I am looking to find the Galois group of $x^3-x+t$ over $\mathbb{C}(t)$, the field of rational functions with complex coefficients. I have shown that the automorphisms of the rational function field $F(t)$ for fixed $F$ are precisely the fractional linear transformat...
{"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/riemann-curvature-tensor-derivation.57670/
# Riemann curvature tensor derivation 1. Dec 23, 2004 ### weio Hey, when calculating the Riemann curvature tensor, you need to calculate the commutator of some vector field $$V$$, ie like this :- $$[\bigtriangledown_a, \bigtriangledown_b]$$ = $$\bigtriangledown_a\bigtriangledown_b - \bigtriangledown_b\bigtriangled...
{"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://wiki.q-researchsoftware.com/wiki/T-Test_of_a_Probability_%25
# T-Test of a Probability % Where $\displaystyle{ \hat{a} }$ is a probability % from a ranking question, $\displaystyle{ \mu }$ is the mean probability %, $\displaystyle{ n }$ is the effective number of observations (note that this is different to the effective sample size where repeated observations exist for each re...
{"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.zentralblatt-math.org/zmath/en/search/?q=an:1056.60029
Language:   Search:   Contact Zentralblatt MATH has released its new interface! For an improved author identification, see the new author database of ZBMATH. # Simple Search Query: Enter a query and click »Search«... Format: Display: entries per page entries Zbl 1056.60029 Bendikov, A.; Saloff-Coste, L. On the sample...
{"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.math.ku.dk/english/calendar/events/algtopseminar08062020/
# Algebra/Topology Seminar Speaker: Christian Dahlhausen Title: Continuous K-theory and cohomology of rigid spaces Abstract: Continuous K-theory is a derivative of algebraic K-theory for rigid analytic spaces. In this talk, I will prove three properties for the negative continuous K-theory of a rigid space of dimensio...
{"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://tug.org/pipermail/texhax/2007-October/009343.html
# [texhax] TeX command works for "1 Foo" but not for "11 Foo" Tue Oct 30 21:49:07 CET 2007 Hi list, This is a weird problem. I use the following for my thesis to force me to include a date with each link I refer to, or make it explicit that I don't need a date, e.g. \link{http://debian.org}{}: % not making #2 optio...
{"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.zora.uzh.ch/id/eprint/18483/
Estimation of the false negative fraction of a diagnostic kit through Bayesian regression model averaging Ranyimbo, A O; Held, L (2005). Estimation of the false negative fraction of a diagnostic kit through Bayesian regression model averaging. Statistics in Medicine, 25(4):653-667. Abstract In modelling we usually e...
{"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://mathhelpforum.com/advanced-algebra/129500-prove-w-symmetric.html
# Thread: Prove that W is symmetric 1. ## Prove that W is symmetric I know that: W = W transpose is symmetric, 2. $(W-I)^T = 2W \ \ (\star)$ Using the property that: $(A \pm B)^T = A^T \pm B^T$ we have that: $W^T - I = 2W \ \Leftrightarrow \ {\color{blue}I = W^T - 2W}$ Now take the transpose of both sides of $(\st...
{"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://math.libretexts.org/Courses/Honolulu_Community_College/Math_75X%3A_Introduction_to_Mathematical_Reasoning_(Kearns)/04%3A_Fundamentals_of_Algebra/4.06%3A_Solving_Equations-_Keeping_the_Balance/4.6.03%3A_Equations_with_Decimals
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$...
{"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...
http://mathhelpforum.com/algebra/222336-reverse-ratios-percentages.html
# Thread: Reverse ratios and percentages.... 1. ## Reverse ratios and percentages.... The teachers were right.... we will need this one day!!! I didn't do so well in math class. Thank you for forums like this! I am working with dilutions of a concentrate. (I will give both gallons and lbs.) We have a diluted drum o...
{"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/s42005-019-0168-y?utm_source=other&utm_medium=other&utm_content=null&utm_campaign=JRPC_2_SC_NatureKorea_Cphys_Sep&error=cookies_not_supported&code=1039bc25-8c5c-4b59-9f94-ea33a7020ab2
## Introduction Since McCarthy and Parks1 found radiation-dose enhancements inside thunderclouds with an airborne detector in 1980s, high-energy phenomena associated with thunderstorms have been detected inside the Earth’s atmosphere and from space. Terrestrial gamma-ray flashes (TGFs) are burst-like emission with the...
{"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...
https://www.physicsforums.com/threads/conditions-for-using-stokes-theorem.695228/
Conditions for using Stokes' Theorem 1. Jun 3, 2013 Mandelbroth I'm back with more questions! I'm wondering what conditions must a manifold satisfy to be able to use Stokes' Theorem. I understand that it must be orientable, but does it have to necessarily be smooth? I tried to see if it was possible to prove Cauch...
{"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/meaning-of-this-operator.134916/
# Meaning of this operator 1. Oct 5, 2006 From the "Lie Group" theory point of view we know that: $$p$$ := is the generator for traslation (if the Lagrangian is invariant under traslation then p is conserved) $$L$$:= s the generator for rotation (if the Lagrangian is invariant under traslation then L is conserved) ...
{"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://nightingale.becomingcelia.com/category/maths
## POTW – What are the Possibilities? This is a problem originally published on Problem of the Week of University of Waterloo. The question was about finding the roots of a functions. I thought it would be really easy since Desmos seems to be able to solve all functions, however in this interesting question it fails, ...
{"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://ptreview.sublinear.info/?p=949
# News for January 2018 And now, for the first papers of 2018! It’s a slow start with only four papers (or technical three “standard property testing” papers, and one non-standard paper). Adaptive Boolean Monotonicity Testing in Total Influence Time, by Deeparnab Chakrabarty and C. Seshadhri (arXiv ECCC). The problem...
{"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://mijn.bsl.nl/toddler-screening-for-autism-spectrum-disorder-a-meta-analysis-o/16386636?fulltextView=true&doi=10.1007%2Fs10803-018-03865-2
main-content ## Swipe om te navigeren naar een ander artikel 08-01-2019 | OriginalPaper | Uitgave 5/2019 Open Access # Toddler Screening for Autism Spectrum Disorder: A Meta-Analysis of Diagnostic Accuracy Tijdschrift: Journal of Autism and Developmental Disorders > Uitgave 5/2019 Auteurs: Ana B. Sánchez-García, Pu...
{"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://mathhelpforum.com/algebra/652-urgent.html
# Math Help - Urgent 1. ## Urgent What is area of a rectangle with a width of 12 feet and length of 10 feet? 2. 120 feet. Area of a rectangle is length times width.
{"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.geteasysolution.com/what-is-0.006-percent-of-545000
# What is 0.006 percent of 545000 - step by step solution ## Simple and best practice solution for 0.006% of 545000. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. If it's not what You are looking for type ...
{"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://neugierde.github.io/cantors-attic/Ineffable
# cantors-attic Climb into Cantor’s Attic, where you will find infinities large and small. We aim to provide a comprehensive resource of information about all notions of mathematical infinity. View the Project on GitHub neugierde/cantors-attic # Ineffable cardinal Ineffable cardinals were introduced by Jensen and K...
{"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.wikibooks.org/wiki/Fundamentals_of_Transportation/Earthwork
# Fundamentals of Transportation/Earthwork The dump truck is amongst the equipment necessary for earthwork to occur Earthwork is something that transportation projects seldom avoid. In order to establish a properly functional road, the terrain must often be adjusted. In many situations, geometric design will often in...
{"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": 29, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://math.stackexchange.com/questions/93721/best-way-to-find-magnitude-and-phase-of-a-specific-frequency-in-an-empirical-tim
# Best way to find magnitude and phase of a specific frequency in an empirical time series… I've a discrete, univariate time series, and I'm interested in to investigate a specific frequency component. Assume I'm interested in a frequency with a cycle-time of $f$ samples - and I need to get the best understanding I c...
{"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/converging-diverging-nozzle.741632/
# Homework Help: Converging-Diverging Nozzle 1. Mar 5, 2014 ### Maylis 1. The problem statement, all variables and given/known data 2. Air flows from a large supply tank in which the pressure is 147 psig and the temperature is 160 F through a converging - diverging nozzle. The velocity at the throat of the nozzle is...
{"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://chemistry.stackexchange.com/questions/14490/neutralization-reaction
# Neutralization reaction Question) Complete and balance each of the following molecular equations (in aqueous solution); include phase labels. Then, for each, write the net ionic equation. (A) $\ce{NH_3 + HNO_3 ->}$ My Attempt: I thought that the acid $\ce{HNO3}$ would just give its hydrogen to $\ce{NH3}$ and make ...
{"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.mankier.com/3/gluPartialDisk.3G
# gluPartialDisk.3G - Man Page draw an arc of a disk ## C Specification ``` GLdouble inner, GLdouble outer, GLint slices, GLint loops, GLdouble start, GLdouble sweep )``` ## Parameters inner Specifies the inner radius of the partial disk (can be 0). outer Specifies the outer radius of the partial disk. slices ...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "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://xianblog.wordpress.com/2014/12/01/reflections-on-the-probability-space-induced-by-moment-conditions-with-implications-for-bayesian-inference-discussion/?shared=email&msg=fail
## reflections on the probability space induced by moment conditions with implications for Bayesian Inference [discussion] [Following my earlier reflections on Ron Gallant’s paper, here is a more condensed set of questions towards my discussion of next Friday.] “If one specifies a set of moment functions collected to...
{"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": 4, "mimetex.cgi": 0, "/images/mat...
https://deepai.org/publication/taming-the-long-tail-of-deep-probabilistic-forecasting
DeepAI # Taming the Long Tail of Deep Probabilistic Forecasting Deep probabilistic forecasting is gaining attention in numerous applications ranging from weather prognosis, through electricity consumption estimation, to autonomous vehicle trajectory prediction. However, existing approaches focus on improvements on th...
{"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.fractalai.org/dl/2020/02/10/policy-gradient-actor-critic.html
What if we could learn the policy parameters directly? We can approach this problem by thinking of policies abstractly - Let’s consider a class of policies defined by $\theta$ and refer to such a policy as $\pi_{\theta}(a|s)$ which is a probability distribution over the action space conditioned on the state $s$. These ...
{"extraction_info": {"found_math": true, "script_math_tex": 1, "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://brilliant.org/problems/a-problem-by-swapnil-yadav/
# A problem by Swapnil Yadav Level pending f(x) is a polynomial function such that f(f(1))=2 . There exists no real roots of f(x). then f(2) equals ×
{"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://forum.allaboutcircuits.com/threads/initial-conditions-of-switched-circuits.44252/
# Initial Conditions of Switched Circuits Discussion in 'Homework Help' started by jegues, Oct 14, 2010. 1. ### jegues Thread Starter Well-Known Member Sep 13, 2010 735 45 See figure for question and my attempt. I redrew the circuit at a time just before time 0. Doing a KVL in loop 1, 2 and 3 I concluded that V1(0...
{"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": 4, "/images/mat...
https://infoscience.epfl.ch/record/198080
Infoscience Journal article # Impact of Annealing on the Early Hydration of Tricalcium Silicate It was recently proposed that the induction period observed during the hydration of tricalcium silicate could be explained by the build-up of ions in solution. Due to the importance of defects in this mechanism, this work...
{"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.hepdata.net/search/?q=&collaboration=HERMES&sort_order=&page=1&sort_by=latest
Showing 19 of 19 results #### Transverse-target-spin asymmetry in exclusive $\omega$-meson electroproduction The collaboration Airapetian, A. ; Akopov, N. ; Akopov, Z. ; et al. Eur.Phys.J. C75 (2015) 600, 2015. Inspire Record 1391139 Hard exclusive electroproduction of $\omega$ mesons is studied with the HERMES spec...
{"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://meta.tex.stackexchange.com/questions/1272/why-doesnt-maths-render-as-maths
Why doesn't maths render as maths? On some other SE sites, code in between dollar signs gets rendered as mathematics (using MathJaX, I believe). This doesn't seem to work here? Why not? And how do I get round it? - See this question. You should know the answer to this, since you requested the behaviour :) –  Lev Bish...
{"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://mathhelpforum.com/advanced-algebra/73612-span-print.html
# Span • February 14th 2009, 01:10 PM krepka Span Let W be the set of all (X1, X2, X3, X4, X5) in R5 which satisfy 2X1-X2+4/3X3-X4=0 X1+2/3X3-X5=0 9X1-3X2+6X3-3X4-3X5=0 Find a finite set of vectors which spans W Does this mean I have to find the vectors such that c1V1+c2V2+c3V3+c4V4+c5V5=(X1, X2, X3, X4, X5) for some...
{"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": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/users/23431/pbs?tab=activity&sort=all&page=10
pbs less info reputation 619 bio website location age member for 2 years, 8 months seen 3 hours ago profile views 256 App developer, Research Associate, and Lecturer of and dabbler in Mathematics. 712 Actions Mar26 accepted Why does this product diverge? Mar26 comment Why does this product diverge? Ok, thanks all ...
{"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/202760/prove-the-trigonometric-identity?answertab=oldest
# Prove the trigonometric identity $$\cos^2\alpha-\cos^4\alpha+\sin^4\alpha=\frac{1}{2}-\frac{1}{2}\cos2\alpha$$ - Welcome to math.SE: since you are new, I wanted to let you know a few things about the site. In order to get the best possible answers, it is helpful if you say in what context you encountered the proble...
{"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://lists.gnu.org/archive/html/emacs-devel/2004-06/msg00703.html
emacs-devel [Top][All Lists] ## Re: query-replace-interactive not documented From: Richard Stallman Subject: Re: query-replace-interactive not documented Date: Wed, 16 Jun 2004 12:57:42 -0400 If there are always to be parens around, then there would be no need for !. One could just write \\footnote{\\label{fn...
{"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://math.stackexchange.com/questions/2356410/trouble-with-pumping-lemma
# Trouble with Pumping Lemma I need to know if this language $$L = \{ \ (a^2b^2c^2)^n \mid n > 0\ \}$$ is regular or not. Since it is trivial to design an FSA with a loop that accepts that language, it is regular. For example here is my FSA that accept language L using draw.io I'm trying to prove that it is regular ...
{"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/1925710/necessary-and-sufficient-conditions-nehari
# Necessary and Sufficient Conditions - Nehari I want to find necessary and sufficient conditions in order that the following problem has a solution: Given complex numbers $a_0,\ldots,a_n$ consider the problem to find all complex function $f$, $$f(\lambda)=\sum_{\nu=0}^{\infty}{\lambda^\nu f_\nu},$$ satisfying the f...
{"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/2021/ScheduleMultitrack?event=12804
Timezone: » Subgaussian Importance Sampling for Off-Policy Evaluation and Learning Alberto Maria Metelli · Alessio Russo · Marcello Restelli Importance Sampling (IS) is a widely used building block for a large variety of off-policy estimation and learning algorithms. However, empirical and theoretical studies have pr...
{"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://physics.stackexchange.com/questions/453616/derive-porosity-from-stiffness-value
# Derive Porosity from Stiffness Value I have the Young's modulus (stiffness) values of a hydro-gel scaffolds, and I need to know the porosity of those scaffolds. I read about Nielsen Equation, which is this: $$E = \frac{E_0 (1 - P) ^ 2}{1 + \frac{P}{f - 1}}$$ where $$E$$ is Young’s modulus, $$E_0$$ is Young’s modulu...
{"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://quantumcomputing.stackexchange.com/questions/8685/secret-sharing-though-quantum-operations
# Secret sharing though quantum operations I have a secret say $$s$$. I have a dealer $$D$$ and three participants $$A, B, C$$. I want to share this secret $$s$$ in such a way that the participation of all $$3$$ is essential to reconstruct the secret. Now for creating the shares, I use some classical sharing algorithm...
{"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://cvgmt.sns.it/paper/3219/
# Continuity for the Monge mass transfer problem in two dimensions created by santambro on 27 Oct 2016 modified on 29 Jul 2018 [BibTeX] Accepted Paper Inserted: 27 oct 2016 Last Updated: 29 jul 2018 Journal: Arch. Rati. Mech. An. Year: 2018 Notes: -- Second and strongly revised version -- Abstract: In this pape...
{"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://community.plm.automation.siemens.com/t5/1D-Simulation-Forum/Combustion-chamber-of-CFM-model-didn-t-burn/td-p/356459
Cancel Showing results for Did you mean: # Combustion chamber of CFM model didn't burn Experimenter Hi, I'm using the IFP library to build a model of Turbocharged CNG Gasoline Engine. But currently i've found that after i added the turbo group , the CFM combustion chamber didn't burn. All the parameters i've set see...
{"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://mathhelpforum.com/algebra/154459-sigma-notation.html
# Math Help - sigma notation 1. ## sigma notation how to write in correct way: to calculate the sum of odd numbers between 1 and n; to calculate the sum of even numbers between 2 and n; n E (i+2) --> do you agree? i=2 2. I would say, for even numbers: $\sum_{i=0}^{n}(2i+2)$ and for odd: $\sum_{i=0}^{n}(2i+1)$ ...
{"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": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.aimsciences.org/article/doi/10.3934/krm.2015.8.309
# American Institute of Mathematical Sciences • Previous Article Compressible Euler equations interacting with incompressible flow • KRM Home • This Issue • Next Article Instantaneous exponential lower bound for solutions to the Boltzmann equation with Maxwellian diffusion boundary conditions June  2015, 8(2): 309-333...
{"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.emis.de/classics/Erdos/cit/20400905.htm
## Zentralblatt MATH Publications of (and about) Paul Erdös Zbl.No:  204.00905 Autor:  Erdös, Paul; Rado, R. Title:  Partition relations and transitivity domains of binary relations (In English) Source:  J. Lond. Math. Soc. 42, 624-633 (1967). Review:  The main theorem is Theorem 2: For all positive integers m and n,...
{"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://en.wikibooks.org/wiki/Principles_of_Economics/Elasticity
# Principles of Economics/Elasticity Elasticity refers to the degree to which one value changes when another does. Supply and demand change with respect to price; investment and savings change with respect to interest rate. The name is "X elasticity of Y" where a change in X causes a change of magnitude (the elasticit...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 16, "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://en.wikipedia.org/wiki/Ring_of_sets
# Ring of sets Not to be confused with Ring (mathematics). In mathematics, there are two different notions of a ring of sets, both referring to certain families of sets. In order theory, a nonempty family of sets ${\displaystyle {\mathcal {R}}}$ is called a ring (of sets) if it is closed under intersection and union....
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 28, "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://physics.stackexchange.com/questions/562251/how-does-the-force-of-charge-between-particles-change-with-velocity
# How does the force of charge between particles change with velocity? I'm sure how fast a particle moves must have some relativistic effect, or maybe also classical ones too. Suppose you fixed the positions of two charged particles. Suppose you're in a lab frame and in a paradoxical but analytically useful way, you f...
{"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.physicsforums.com/threads/linear-velocity-of-a-rotating-body.327899/
# Linear velocity of a rotating body 1. Jul 30, 2009 ### rugapark 1. The problem statement, all variables and given/known data A flat rigid body is rotating with angular velocity 3 rads-1 about an axis in the direction of the vector (i + 2 j + 3 k) and passing through the point (1, 1, 0) on the body. Find the linea...
{"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://mathoverflow.net/revisions/38792/list
4 added 151 characters in body I guess the question is somehow elementary to experts, but I'd like to put down my arguments, which appear doubtful, and see if they are correct and if corrections and improvements are possible. The setting is as follows: $k$ is the base field of characteristic zero, $G$ a connected sem...
{"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.freemathhelp.com/trig-double-angles.html
# Solve Trig Problems With Double- or Half-Angles The double and half angle formulas can be used to find the values of unknown trig functions. For example, you might not know the sine of 15 degrees, but by using the half angle formula for sine, you can figure it out based on the commonly known value of sin(30) = 1/2. ...
{"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...