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http://inventtolearn.com/3n/ | # The 3N problem
SCENARIO
You and your noted mathematician colleagues convene in (virtual) Geneva to present brilliant theories pertaining to one of the world’s great mysteries, the elusive 3n Problem.
BACKGROUND
The 3N problem offers a fantastic world of exploration for learners of all ages. (I have done this with... | {"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.saranextgen.com/homeworkhelp/doubts.php?id=50249 | # Two forces P and Q of magnitude 2F and 3F, respectively, are at an angle with each other. If the force Q is doubled, then their resultant also gets doubled. Then, the angle is: (a) 300 (b) 600 (c) 900 (d) 1200
## Question ID - 50249 :- Two forces P and Q of magnitude 2F and 3F, respectively, are at an angle with eac... | {"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://courses.cs.cornell.edu/cs2800/wiki/index.php/SP20:Lecture_3_prep | # SP20:Lecture 3 prep
Please come to lecture 3 knowing the following definitions (you can click on the terms or symbols for more information, or you can review the entire lecture notes from last semester here):
Definition: Subset
If and are sets, then is a subset of (written ) if every is also in
Definition: Power s... | {"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://swmath.org/software/9154 | # CPsuperH
CPsuperH: a computational tool for Higgs phenomenology in the minimal supersymmetric standard model with explicit CP-violation. We provide a detailed description of the Fortran code CPsuperH, a newly-developed computational package that calculates the mass spectrum and decay widths of the neutral and charge... | {"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://quant.stackexchange.com/questions/8738/constant-maturity-futures-price-methodology | # Constant maturity futures price methodology
What is the correct methodology to compute constant maturity futures price.
I've met in some papers that do the following. To create constant maturity synthetic futures prices with maturity $m = 30, 60,...,180$ days. We should take a pair of futures that straddle the chos... | {"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://astrophysicsformulas.com/astronomy-formulas-astrophysics-formulas/temperature-in-kelvin-to-kev-conversion/ | # Temperature in Kelvin to keV Conversion
Practicing astrophysicists routinely refer to temperatures in units of eV or keV, even though this is wrong, because temperature is not dimensionally equivalent to energy. Nevertheless, they still do it, with the Boltzmann constant being implicitly included in the conversion. ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://toywiki.xyz/discrete_dlpp_dp.html | # Discrete directed last passage percolations and directed polymers
directed_last_passage_percolation directed_polymer
Definition. The directed last passage percolation (DLPP) $$Z_0(n, m)$$ on integer lattice $$\pint_{>0} \times \pint_{>0}$$, where each vertex $$(i, j)$$ has weight $$a_{ij}$$, is defined as the maxim... | {"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.tiredpixel.com/2013/index-4.html | # walking all combinations of infinite lists
#### Introduction
Some programming languages supply an interleave method for combining elements from infinite lists. The usual pattern for this is cycling through the set of lists, taking successive elements. When combination as a tuple is required, however, the problem be... | {"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/how-do-they-measure-quark-masses-quark-charges.834356/ | # How do they measure quark masses? Quark charges?
1. Sep 24, 2015
### H_Hernandez
Hello,
So, I know quarks are confined in baryons. In a proton, there are "3" quarks, but the sum of their masses is not the mass of the proton. This implies a major fraction of the proton mass comes from interactions. My question 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://mathhelpforum.com/algebra/179169-mixture-problem-help.html | # Math Help - Mixture Problem Help
1. ## Mixture Problem Help
Im having trouble understanding mixture problems. (and all the other ones like distance,work rate)
So my question is...
Victor is making orange juice. He has one pitcher that contains 2 quarts of 50% concentrate, and another pitcher that contains 4 quart... | {"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://www.mathportal.org/calculators/complex-numbers-calculator/complex-unary-operations-calculator.php | Math Calculators, Lessons and Formulas
It is time to solve your math problem
You are here:
# Calculators :: Complex numbers :: Operations with one complex number
This calculator extracts the square root, calculate the modulus, finds inverse, finds conjugate and transform complex number to polar form. The calculator... | {"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/centripetal-acceleration.293149/ | # Centripetal Acceleration
1. Feb 17, 2009
### lauriecherie
1. The problem statement, all variables and given/known data
What would Earth's rotation period have to be for objects on the equator to have a centripetal acceleration equal to 9.8 m/s^2?
____ min
2. Relevant equations
Centripetal acceleration is equal... | {"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/176760/problem-on-einstein-de-haas-experiment?noredirect=1 | # Problem on Einstein - de Haas experiment
I am a Physics student (4th year) and I'm trying to study the Einstein - de Haas effect in laboratory. That is what I got: a suspended Iron cylinder with about 5 cm height and a radius of 0.8 cm is put inside a solenoid which can create a magnetic field of 0.2 mT; we use a Ti... | {"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/gaussean-beam.133829/ | # Gaussean beam
1. Sep 27, 2006
### Quasi Particle
hello.
I've got a gaussean beam, which is collimated with a diameter of 2mm, and a wavelength of 1112nm. I need to focus it to a beam waist of 25µm, but my lens with the smallest focal length I have is still f=300mm, so I need to build a telescope:
---collimated b... | {"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.nag.com/numeric/CL/nagdoc_cl23/html/F11/f11mlc.html | f11 Chapter Contents
f11 Chapter Introduction
NAG C Library Manual
# NAG Library Function Documentnag_superlu_matrix_norm (f11mlc)
## 1 Purpose
nag_superlu_matrix_norm (f11mlc) computes the $1$-norm, the $\infty$-norm or the maximum absolute value of the elements of a real, square, sparse matrix which is held in co... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 39, "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://brilliant.org/problems/simple-isnt-enough/ | # Simple isn't enough
Calculus Level 5
$\int_{0}^{16} { \arctan{(\sqrt{\sqrt{z} -1})} \ dz}$
If the complex integral above can be expressed as $$a + ib$$. Find the value of $$\left \lfloor{a + 10b}\right \rfloor$$.
Clarification: $$i = \sqrt{-1}$$.
× | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crazyproject.wordpress.com/2011/06/22/decide-whether-a-given-linear-congruence-over-an-algebraic-integer-ring-has-a-solution/ | ## Decide whether a given linear congruence over an algebraic integer ring has a solution
Consider $A = (3\sqrt{-5}, 10+\sqrt{-5})$ as an ideal in $\mathcal{O} = \mathbb{Z}[\sqrt{-5}]$. Does $3\xi \equiv 5$ mod $A$ have a solution in $\mathcal{O}$?
Let $D = ((3),A) = (3,1+\sqrt{-5})$. By Theorem 9.13, our congruence ... | {"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": 11, "mimetex.cgi": 0, "/images/ma... |
https://physics.stackexchange.com/questions/314638/variational-derivative-of-function-with-respect-to-its-derivative/314640 | # Variational derivative of function with respect to its derivative [closed]
What is $$\frac{\delta f(t)}{\delta \dot{f}(t)}~?$$
Where $\dot{f}(t) = df/dt$.
• could you provide some context please? – ZeroTheHero Feb 25 '17 at 3:32
• It is purely a math question ,so better to ask in mathematics stack exchange – Lapmi... | {"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://pdglive.lbl.gov/Particle.action?init=0&node=M059&home=MXXX025 | ${\mathit {\mathit c}}$ ${\mathit {\overline{\mathit c}}}$ MESONS(including possibly non- ${\mathit {\mathit q}}$ ${\mathit {\overline{\mathit q}}}$ states)
#### ${{\mathit \eta}_{{c}}{(2S)}}$
$I^G(J^{PC})$ = $0^+(0^{- +})$
Quantum numbers are quark model predictions.
${{\mathit \eta}_{{c}}{(2S)}}$ MASS $3637.5 \pm1... | {"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.zbmath.org/?q=an%3A0958.30029 | ×
zbMATH — the first resource for mathematics
Metrics of constant curvature 1 with three conical singularities on the 2-sphere. (English) Zbl 0958.30029
Summary: Let $$\text{Met}_1(\Sigma)$$ be the set of positive semi-definite conformal metrics of constant curvature 1 with conical singularities on a compact Riemann ... | {"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/209654/proof-of-continuity-for-a-real-function/210006 | # Proof of continuity for a real function!
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a real function, and satisfy that: for all $x\in\mathbb{R}$ $$\lim_{r\to x,r\in\mathbb{Q}}f(r)=f(x).$$ Show that $f$ is continuous on $\mathbb{R}.$
-
you have continuous function $\tilde{f}$ on $\mathbb Q$. Now the question is: wh... | {"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://project-navel.com/navel/news/magazines/2003-06.html | # ŐV - fڎ
2011N \\ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
2010N \\ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
2009N \\ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
2008N \\ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
2007N \\ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
2006N \\ 1 | 2 | 3 ... | {"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.gradesaver.com/textbooks/math/algebra/algebra-2-1st-edition/chapter-9-quadratic-relations-and-conic-sections-9-7-solve-quadratic-systems-9-7-exercises-skill-practice-page-661/15 | ## Algebra 2 (1st Edition)
Published by McDougal Littell
# Chapter 9 Quadratic Relations and Conic Sections - 9.7 Solve Quadratic Systems - 9.7 Exercises - Skill Practice - Page 661: 15
#### Answer
$(-1,-4),(-6.5,7)$
#### Work Step by Step
Substituting the second equation ($y=-6-2x$) into the first one we get: $4... | {"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://tclcertifications.com/my-big-gty/237f36-sum-of-exponential-distribution | Jan 02, 2021 0 comment
sum of exponential distribution
The Gamma random variable of the exponential distribution with rate parameter λ can be expressed as: $Z=\sum_{i=1}^{n}X_{i}$ Here, Z = gamma random variable. 1. PROPOSITION 2. 2) so – according to Prop. We obtain: PROPOSITION 4 (m = 3). An interesting property o... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rd.springer.com/article/10.1007%2FBF00276205 | Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates
# On a transcendental equation in the stability analysis of a population growth model
• 63 Accesses
• 14 Citations
## Summary
We consider the rate equation n = rn for the density n of a single species popula... | {"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.compadre.org/portal/../picup/exercises/exercise.cfm?A=ParticleAccelerator | +
Particle Accelerator!
Developed by Christopher Orban - Published May 23, 2017
This exercise illustrates a charged particle being accelerated through two charged plates. The student will explore how changing the mass, charge, and the spacing between the plates affects the final velocity of the particle. Although loo... | {"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://itfeature.com/statistics/measure-of-dispersion/descriptive-statistics-multivariate-data-set | # Descriptive Statistics Multivariate Data set
Much of the information contained in the data can be assessed by calculating certain summary numbers, known as descriptive statistics such as Arithmetic mean (measure of location), average of the squares of the distances of all of the numbers from the mean (variation/spre... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://oxfordre.com/physics/view/10.1093/acrefore/9780190871994.001.0001/acrefore-9780190871994-e-20?rskey=I1Fbul | Show Summary Details
Page of
PRINTED FROM the OXFORD RESEARCH ENCYCLOPEDIA, PHYSICS (oxfordre.com/physics). (c) Oxford University Press USA, 2020. All Rights Reserved. Personal use only; commercial use is strictly prohibited (for details see Privacy Policy and Legal Notice).
date: 07 July 2020
# Solar Flares
## Su... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 92, "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.khanacademy.org/science/physics/mechanical-waves-and-sound/simple-harmonic-motion-with-calculus/v/harmonic-motion-part-2-calculus | If you're seeing this message, it means we're having trouble loading external resources on our website.
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## Physics library
### Unit 8: Lesson 2
Simple harmonic motion (with calculus)
# Harmonic motion... | {"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://arxiv.org/abs/1812.02086 | math.MG
(what is this?)
# Title:Infinitesimal Hilbertianity of locally CAT($κ$)-spaces
Abstract: We show that, given a metric space $(Y,d)$ of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure $μ$ on $Y$ giving finite mass to bounded sets, the resulting metric measure space $(Y,d,... | {"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://www.maa.org/press/maa-reviews/the-riemann-hypothesis-and-the-roots-of-the-riemann-zeta-function | # The Riemann Hypothesis and the Roots of the Riemann Zeta Function
###### Samuel W. Gilbert
Publisher:
BookSurge Publishing
Publication Date:
2009
Number of Pages:
140
Format:
Paperback
Price:
49.95
ISBN:
9781439216385
Category:
General
[Reviewed by
Underwood Dudley
, on
08/23/2009
]
The Clay Mathematics Institute h... | {"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://ai.stackexchange.com/questions/13526/is-prelu-superfluous-with-respect-to-relu?noredirect=1 | Is PReLU superfluous with respect to ReLU?
Why do people use the $$PReLU$$ activation?
$$PReLU[x] = ReLU[x] + ReLU[p*x]$$
with the parameter $$p$$ typically being a small negative number.
If a fully connected layer is followed by a at least two element $$ReLU$$ layer then the combined layers together are capable 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": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/calculus/calculus-3rd-edition/chapter-7-exponential-functions-7-3-logarithms-and-their-derivatives-exercises-page-343/66 | ## Calculus (3rd Edition)
$$y'= 24x+47.$$
Taking the $\ln$ on both sides of the equation, we get $$\ln y= \ln (3x+5)(4x+9)$$ Then using the properties of $\ln$, we can write $$\ln y= \ln (3x+5)+\ln(4x+9).$$ Now taking the derivative for the above equation, we have $$\frac{y'}{y}= \frac{3}{3x+5}+ \frac{4}{4x+9},$$ Henc... | {"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://manufacturingscience.asmedigitalcollection.asme.org/DSCC/proceedings-abstract/DSCC2020/84270/V001T21A007/1096550 | Abstract
A design method is proposed for a nonlinear disturbance observer based on the notion of passivity. As an initial application, we consider here systems whose structure comprises a set of integrator cascades, though the proposed approach can be extended to a larger class of systems. We describe an explicit proc... | {"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/2417195/help-with-strong-induction | # Help with Strong Induction
I am stuck on the inductive step of a proof by strong induction, in which I am proving proposition $S(x)$: $$\sum_{i=1}^{2^x} \frac{1}{i} \geq 1 + \frac{x}{2}$$ for $x \geq 0$. I have already finished verifying the base case, $S(0)$, and writing my inductive hypothesis, $S(x)$ for $0 \leq ... | {"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://crypto.stackexchange.com/questions/32506/common-modulus-attack-not-reproducible/32514 | # Common Modulus Attack not reproducible
I want to calculate a simple example of the RSA common modulus attack. However, the result is not correct and I do not find my mistake.
p=$29, q=37, n=p*q = 1073, \phi(n) = 1008, e1 = 5, e2 = 11$
Let $m = 999$.
$c_1 = m^{e_1} \pmod n = 296$, $c_2 = m^{e_2} \pmod n = 555$
Th... | {"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.conservapedia.com/Determinant | # Determinant
Jump to: navigation, search
The determinant of a matrix (written |A|) is a single number that depends on the elements of the matrix A. Determinants exist only for square matrices (i.e., ones where the number of rows equals the number of columns).
Determinants are a basic building block of linear algebr... | {"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://www.physicsforums.com/threads/the-difference-between-system-equili-and-system-and-steady-state.1623/ | # The difference between system equili and system and steady state
• Start date
• #1
hi
Can anyone explain the difference between a system at equilibrium and a system at steady-state water flow?
I know that equilibrium occurs at equal rates, no net change is produced. But I don't understand steady state system....Ple... | {"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://www.physicsforums.com/showthread.php?t=541289 | ## Simple PDE....
I'm trying to solve the PDE:
$\frac{\partial^2 f(x,t)}{\partial x^2}=\frac{\partial f(x,t)}{\partial t}$ with $x \in [-1,1]$ and boundary conditions f(1,t)=f(-1,t)=0.
Thought that $e^{i(kx-\omega t)}$ would work, but that obviously does not fit with the boundary conditions. Has anyone an idea?
Ph... | {"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.rdmag.com/news/2014/03/new-algorithm-improves-efficiency-small-wind-turbines?et_cid=3830296&et_rid=623702531&location=top | News
New algorithm improves the efficiency of small wind turbines
Tue, 03/18/2014 - 9:47am
In recent years, mini wind energy has been developing in a spectacular way. According to estimates by the WWEA-World Wind Energy Association, the level of development of the mini wind energy industry is not the same as that of... | {"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://chemicalstatistician.wordpress.com/2014/03/17/video-the-hazard-function-is-the-probability-density-function-divided-by-the-survival-function/ | # Video Tutorial – The Hazard Function is the Probability Density Function Divided by the Survival Function
In an earlier video, I introduced the definition of the hazard function and broke it down into its mathematical components. Recall that the definition of the hazard function for events defined on a continuous 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": 2, "mimetex.cgi": 0, "/images/mat... |
https://jeeneetqna.in/390/let-a-i-j-b-i-j-k-and-c-be-a-vector-such-that-a-c-and-then-is-equal-to | # Let a = i^−j^, b = i^+j^+k^ and c be a vector such that a × c + b = 0 and a . c = 4, then |c|^2 is equal to :
more_vert
Let $\vec{a}=\hat{i}-\hat{j},\ \vec{b}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{c}$ be a vector such that $\vec{a}\times\vec{c}+\vec{b}=0$ and $\vec{a}.\vec{c}=4$, then $|\vec{c}|^2$ is equal to :
(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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1734893/does-this-definition-of-e-even-make-sense/1735035 | # Does this definition of $e$ even make sense?
This sprung from a conversation here. In Stewart's Calculus textbook, he defined $e$ as the unique solution to $\lim\limits_{h\to 0}\frac{x^h-1}{h}=1$. Ahmed asked how do you define $x^h$ is not by $\exp(h\ln(x))$ and I'm not sure.
Does this definition of $e$ even make s... | {"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/entropy-change-of-melting-ice-cube-initially-at-5c.765848/ | # Entropy change of melting ice cube initially at -5°C
1. Aug 13, 2014
### Flucky
1. The problem statement, all variables and given/known data
Calculate the entropy change of an ice cube of mass 10g, at an initial temperature of -5°C, when it completely melts.
cice = 2.1 kJkg-1K-1
Lice-water = 3.34x105 Jkg-1
2. 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://math.stackexchange.com/questions/1612437/notation-of-the-second-derivative-where-does-the-d-go | # Notation of the second derivative - Where does the d go?
In school I was taught that we use $\frac{du}{dx}$ as a notation for the first derivative of a function $u(x)$. I was also told that we could use the $d$ just like any variable.
After some time we were given the notation for the second derivative and it was e... | {"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://math.stackexchange.com/users/53394/deepak | # Deepak
less info
reputation
11
bio website location age member for 5 months seen Apr 3 at 21:01 profile views 108
Life is more fun with SE, I guess.
# 51 Questions
8 Convergence in $L^1$ space 8 Proving $f$ is a constant function 5 proving $f$ is absolutely continuous on $[0,1]$ 5 Finding a conformal map of luna... | {"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://arxiv.org/abs/1706.07262 | Full-text links:
astro-ph.SR
# Title:MOVES I. The evolving magnetic field of the planet-hosting star HD189733
Abstract: HD189733 is an active K dwarf that is, with its transiting hot Jupiter, among the most studied exoplanetary systems. In this first paper of the Multiwavelength Observations of an eVaporating Exopla... | {"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://tohoku.pure.elsevier.com/en/publications/can-the-21-cm-signal-probe-population-iii-and-ii-star-formation | # Can the 21-cm signal probe Population III and II star formation?
Research output: Contribution to journalArticlepeer-review
9 Citations (Scopus)
## Abstract
Using varying models for the star formation rate (SFR) of Population (Pop) III and II stars at z > 6 we derive the expected redshift history of the global 21... | {"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/stored-energy-in-a-battery.209242/ | # Stored energy in a battery
1. Jan 16, 2008
### PowerIso
1. The problem statement, all variables and given/known data
A certain lead acid storage battery has a mass of 30kg, Starting from a fully charged state, it can supply 5 amperes for 24 hours with a terminal voltage of 12 V before it is totally discharged. a I... | {"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://dynamicsystems.asmedigitalcollection.asme.org/article.aspx?articleid=1414210 | 0
Discussions
# Discussion: “Model Reduction of Large-Scale Discrete Plants With Specified Frequency Domain Balanced Structure” (, and , 2005, ASME J. Dyn. Syst. Meas., Control, 127, pp. 486–498)PUBLIC ACCESS
[+] Author and Article Information
Hamid Reza Shaker
Section for Automation and Control, Department of Elect... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 10, "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/infinite-square-well-with-attractive-potential.345823/ | # Infinite square well with attractive potential
1. Oct 14, 2009
### Brian-san
1. The problem statement, all variables and given/known data
We have an infinite square well potential of width 2L centered at the origin, with an attractive delta function potential V0δ(x) at the origin, with the properties
$$V_0<0, -V_0... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://farside.ph.utexas.edu/teaching/plasma/lectures/node43.html | Next: Plane Waves in a Up: Waves in Cold Plasmas Previous: Waves in Cold Plasmas
# Introduction
The cold-plasma equations describe waves, and other perturbations, which propagate through a plasma much faster than a typical thermal velocity. It is instructive to consider the relationship between the collective motions... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/155284/inequality-in-the-sobolev-space-h1/155308 | # Inequality in the Sobolev space $H^1$
I've found the following inequality $$\int_{B_r}\vert u\vert^q\leq C \bigg(\int_{B_r}\vert\nabla u\vert^2\bigg)^{a}\bigg(\int_{B_r}\vert u\vert ^2\bigg)^{\frac{q}{2}-a}+\frac{c}{r^{2a}}\bigg(\int_{B_r}\vert u\vert ^2\bigg) ^{\frac{q}{2}}$$ for $u\in H^1(\mathbb{R}^3)$,$a=\frac{3... | {"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/gradient-and-open-ball.113633/ | # Gradient and open ball
1. Mar 9, 2006
### eridanus
Let f : Rn -> R.
Suppose that grad(f(x)) = 0 for all x in some open ball B(a, r).
Show that f is constant on B(a, r).
[Hint: use part (a) to make this a problem about a function of one variable]
part (a) is show that for any two points x, y in B
there is a straig... | {"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://export.arxiv.org/abs/2207.00954 | math.NA
(what is this?)
# Title: The error bounds and perturbation bounds of the absolute value equations and some applications
Abstract: In this paper, by introducing a class of absolute value functions, we study the error bounds and perturbation bounds of two types of absolute value equations (AVEs): Ax -B|x|= b a... | {"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/calculus/87042-error-bound-taylor-polynomial-print.html | # error bound taylor polynomial
• May 2nd 2009, 10:57 PM
diroga
error bound taylor polynomial
Quote:
Use taylor's theorem to bound the error in approximating the function f(x) = e^x with the maclaurin series M_6(x) on the interval [-1,1]
The formual for this type of thing is
$|f(x) - P_n(x)| \leq \frac {K_{n + 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": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/author/D.-George/152997755 | • Publications
• Influence
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral.
On August 17, 2017 at 12∶41:04 UTC the Advanced LIGO and Advanced Virgo gravitational-wave detectors made their first observation of a binary neutron star inspiral. The signal, GW170817, was detectedExpand
Gravi... | {"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/continuously-uniform-function-proof.307814/ | # Continuously uniform function proof
1. Apr 16, 2009
### aeronautical
1. The problem statement, all variables and given/known data
Let f : (0,1) → (0,1) be a strict growing continuous function. Does f have to be continuously uniform? Please note that its from (0,1) → (0,1) and NOT [0,1] → [0,1]. Please help me wit... | {"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.chegg.com/homework-help/questions-and-answers/straight-vertical-wire-carries-current-130-downward-region-poles-alarge-superconducting-el-q123252 | A straight, vertical wire carries a current of 1.30 downward in a region between the poles of alarge superconducting electromagnet, where the magnetic field has amagnitude of 0.559 and is horizontal.
Part A) What is the magnitude of the magnetic force on a section ofthe wire with a length of 1.00 that is in this unifo... | {"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://openreview.net/forum?id=B1QgVti6Z | ## Empirical Risk Landscape Analysis for Understanding Deep Neural Networks
15 Feb 2018, 21:29 (modified: 23 Feb 2018, 00:27)ICLR 2018 Conference Blind SubmissionReaders: Everyone
Keywords: Deep Learning Analysis, Deep Learning Theory, Empirical Risk, Landscape Analysis, Nonconvex Optimization
Abstract: This work aims... | {"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://blog.ugnus.uk.eu.org/ | ## Implicit coordinate transforms are weird
There’s a wide class of coordinate transforms that are typically given backwards. Witness spherical polar coordinates:
$x = r \cos \phi \sin \theta \\ y = r \sin \phi \sin \theta \\ z = r \cos \theta \\$
Typically we already know what our cartesian coordinates $(x,y,z)$ ar... | {"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": 596, "mimetex.cgi": 0, "/images/m... |
https://www.physicsforums.com/threads/define-angle-of-projection-with-the-given-parameters.572541/ | # Homework Help: Define Angle of Projection with The Given Parameters
1. Jan 30, 2012
### velouria131
1. The problem statement, all variables and given/known data
A projectile is launched with a speed v at an angle theta above the horizontal. Ignore air resistance. Derive an expression for the angle theta in terms ... | {"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.answers.com/other-math/If_the_radius_of_a_basketball_is_5_inches_what_is_the_volume | 0
# If the radius of a basketball is 5 inches what is the volume?
Wiki User
2010-02-06 13:47:34
If the Basketball is regarded as a perfect sphere then the formula for the volume (V) is V = 4/3πr3 where r is the radius.
If the radius is 5 inches then V = 4/3π53 = 500/3π = 523.60 cubic inches (2dp)
Wiki User
2010-... | {"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.math.gatech.edu/seminars-and-colloquia-by-series?page=368 | ## Seminars and Colloquia by Series
Thursday, September 11, 2008 - 15:00 , Location: Skiles 269 , Robert Foley , ISyE, Georgia Tech , Organizer: Heinrich Matzinger
Under certain conditions, we obtain exact asymptotic expressions for the stationary distribution \pi of a Markov chain. In this talk, we will consider Mar... | {"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/132216-correlation-samples-print.html | # Correlation of samples
• March 5th 2010, 01:49 PM
Anonymous1
Correlation of samples
Let $X_i, i= 1,..,n,$ be i.i.d. sampes from $N(\mu, \sigma^2).$ Let $\bar{X} = \frac{1}{n}\sum_{i=1}^{n} X_i.$
Prove that $\bar{X}$ and $X_i - \bar{X}$ are uncorrelated for any $i.$
• March 5th 2010, 10:13 PM
matheagle
for simplicit... | {"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://en.formulasearchengine.com/wiki/Disjunct_matrix | # Disjunct matrix
Disjunct and separable matrices play a pivotal role in the mathematical area of non-adaptive group testing. This area investigates efficient designs and procedures to identify 'needles in haystacks' by conducting the tests on groups of items instead of each item alone. The main concept is that if the... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 270, "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/m... |
http://thermodynamicsystem0.blogspot.com/2011_03_01_archive.html | ## Saturday, 12 March 2011
### Thermodynamic system
A thermodynamic system is a precisely defined macroscopic region of the universe, often called a physical system, that is studied using the principles of thermodynamics.
All space in the universe outside the thermodynamic system is known as the surroundings, the en... | {"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/users/35706/gmb?tab=activity | GMB
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Jun14 revised What is the mean of this random variable? added 9 characters in body Jun14 comment What is the mean of this random variable? Okay, thank you. Edited. Jun14 revised What is the mean of this random variable? edited body Jun14 revised What is the mean of this r... | {"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://link.springer.com/article/10.1007%2Fs10107-014-0814-9 | Mathematical Programming
, Volume 153, Issue 2, pp 495–534
# Decomposition algorithms for submodular optimization with applications to parallel machine scheduling with controllable processing times
• Akiyoshi Shioura
• Natalia V. Shakhlevich
• Vitaly A. Strusevich
Open Access
Full Length Paper Series A
## Abstract
... | {"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/840/the-core-question-of-topology?sort=votes | # The core question of topology
As I see it, the core question of topology is to figure out whether a homeomorphism exists between two topological spaces.
To answer this question, one defines various properties of a space such as connectedness, compactness, the fundamental group, betti numbers etc.
However, it seems... | {"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://commens.org/dictionary/entry/quote-minute-logic-chapter-iii-simplest-mathematics-4 | # The Commens DictionaryQuote from ‘Minute Logic: Chapter III. The Simplest Mathematics’
Quote:
The most ordinary fact of perception, such as “it is light,” involves precisive abstraction, or prescission. But hypostatic abstraction, the abstraction which transforms “it is light” into “there is light here,” which is 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... |
https://arcojaver.firebaseapp.com/897.html | # Command prompt for windows phone 8
Command prompt is an important part of windows operating system for many years a lot of operations related to the system management is used to perform with the help of this tool. In the power user task menu, select either command prompt or command prompt admin. To use them as an al... | {"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/Electricity_and_Magnetism/Book%3A_Electromagnetics_I_(Ellingson)/08%3A_Time-Varying_Fields/8.06%3A_Transformers_as_Two-Port_Devices | # 8.6: Transformers as Two-Port Devices
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$... | {"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/165904/lebesgue-measure-of-x-y-z-in-mathbb-r-3-x-in-mathbb-r-0-leq-y-le | # lebesgue measure of $\{ (x,y,z) \in \mathbb R ^3 : x \in \mathbb R, 0 \leq y \leq 10, z \in \mathbb Z \}$
Find the lebesgue measure of the set: $$\Bigl\{ (x,y,z) \in \mathbb R ^3 : x \in \mathbb R, \quad 0 \leq y \leq 10, \quad z \in \mathbb Z \Bigr\}$$
I think is a null set but for some reason I have stuck and 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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lexique.netmath.ca/en/invariant/ | # Invariant
## Invariant
Term that refers to a property or a set that is preserved under the effect of a relation.
A set E is generally invariant by a relation if (E) = E.
### Examples
Invariant set:
Invariant property:
• The parallelism of lines in a plane is preserved by a translation in the plane. | {"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://hal-upec-upem.archives-ouvertes.fr/hal-01136333 | # Free-path distribution and Knudsen-layer modeling for gaseous flows in the transition regime
Abstract : In this paper, we use molecular dynamics (MD) simulations to study the mean free path distribution of nonequilibrium gases in micronanochannel and to model the Knudsen (Kn) layer effect. It is found that the mean ... | {"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://en.wikipedia.org/wiki/Sun_kink | # Buckling
(Redirected from Sun kink)
Buckled skin panels on a B-52 aircraft
In engineering, buckling is the sudden change in shape of a structural component under load such as the bowing of a column under compression or the wrinkling of a plate under shear. If a structure is subjected to a gradually increasing load,... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 84, "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.khanacademy.org/math/integral-calculus/area-and-arc-length-ic | # Area & arc length using calculus
Contents
Become a professional area-under-curve finder! You will also learn here how integrals can be used to find lengths of curves. The tools of calculus are so versatile!
8 exercises available
### Area between curves
By integrating the difference of two functions, you can find 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... |
https://deepai.org/publication/multi-source-deep-gaussian-process-kernel-learning | # Multi-source Deep Gaussian Process Kernel Learning
For many problems, relevant data are plentiful but explicit knowledge is not. Predictions about target variables may be informed by data sources that are noisy but plentiful, or data which the target variable is merely some function of. Intrepretable and flexible ma... | {"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.lessonplanet.com/teachers/scotts-big-decision-a-look-at-the-decision-making-process | # Scott's Big Decision, A Look at the Decision Making Process
Students define the problem, list alternatives, state criteria to consider, and evaluate alternatives in terms of chosen criteria, through a chart, then interpret the chart to arrive at a decision.
Resource Details | {"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/103576/the-systematic-method-for-the-explicit-construction-of-representations-of-su2 | # The systematic method for the explicit construction of representations of su(2) algebra? (e.g. pauli matrices)
How do I construct the su(2) representations of a given dimension?
-
There are many ways but it's a rather lenghty derivation if you want to find all representations. I don't think people here will serve ... | {"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/33558/two-weighted-coins-determining-which-has-a-higher-probability-of-landing-heads | # Two weighted coins, determining which has a higher probability of landing heads
A friend of mine asked me the following question, and I am not sure how to solve it:
You are given two weighted coins, $C_1$ and $C_2$. Coin $C_1$ has probability $p_1$ of landing heads and $C_2$ has probability $p_2$ of landing heads. ... | {"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://math.stackexchange.com/questions/286009/proving-that-this-function-must-be-even-ii | # Proving that this function must be even (II)
Suppose $g:\mathbb{R}^d\rightarrow\mathbb{R}$ is continuous. Also let $\mathbf{x}=(x_1,\ldots,x_d)\in\mathbb{R}^d$.
I'd like to prove the following:
If
$$\int_{\mathbb{R}^d}x_k\exp(-\mathbf{x}^T\mathbf{x})f(g(x))\,d\mathbf{x}=0$$
for all bounded continuous functions $... | {"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.hackmath.net/en/math-problem/1225 | # Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18]
a. Determine the coordinates of the vectors u=AB v=CD s=DB
b. Calculate the sum of the vectors u + v
c. Calculate difference of vectors u-v
d. Determine the coordinates of the vector w = -7.u
ux = 11
uy = 18
vx = -4
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 11, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://experts.mcmaster.ca/display/publication1492041 | # Counting Lyndon Factors Academic Article
•
• Overview
•
• Research
•
• Identity
•
• In this paper, we determine the maximum number of distinct Lyndon factors that a word of length $n$ can contain. We also derive formulas for the expected total number of Lyndon factors in a word of length $n$ on an alphabet of size $... | {"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://physics.stackexchange.com/questions/27023/unitarity-of-s-matrix-in-qft | Unitarity of S-matrix in QFT
I am a beginner in QFT, and my question is probably very basic.
As far as I understand, usually in QFT, in particular in QED, one postulates existence of IN and OUT states. Unitarity of the S-matrix is also essentially postulated. On the other hand, in more classical and better understood... | {"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://michaelnielsen.org/polymath1/index.php?title=Ergodic-inspired_methods&diff=prev&oldid=1329 | # Difference between revisions of "Ergodic-inspired methods"
These methods are inspired by the Furstenberg-Katznelson argument and the ergodic perspective.
## Idea #1: extreme localisation
Let $A \subset [3]^n$ be line-free with density $\delta$. Let $m = m(\delta)$ be a medium size integer independent of n. We embe... | {"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://projecteuclid.org/euclid.aoms/1177704584 | ## The Annals of Mathematical Statistics
### On the Order Structure of the Set of Sufficient Subfields
D. L. Burkholder
#### Abstract
In [5], the concept of statistical sufficiency is studied within a general probability setting. The study is continued here. The notation and definitions of [5] are used. Here we giv... | {"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://fabien.galerio.org/drivingrain/fjrvanmook2002/node26.htm | # 6.1 Wind calculation method
Numerical simulations of the wind around the Main Building were performed by the commercially available CFD package Fluent. We used versions 4.4 and 4.5 and the differences between these two versions are not relevant for our purpose. The used turbulence model is a standard - model ([Fluen... | {"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://brilliant.org/problems/integration-of-the-greatest-integer-function-2/ | Integration of the greatest integer function #2
Calculus Level 3
$\large \int\limits_0^{\pi} \left\lfloor x\right\rfloor \, dx = \ ?$ | {"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://mathhelpforum.com/calculus/210478-integral.html | # Math Help - Integral
1. ## Integral
Hello! How would you integrate 2^x / ln2? Thanks already!
2. ## Re: Integral
$\displaystyle 2^x=e^{\ln 2^x}=e^{x \ln 2}$
3. ## Re: Integral
note that:
$\frac{1}{\ln(2)} = \frac{\ln(2)}{(\ln(2))^2}$
you can take the denominator (which is just a constant) outside the integral... | {"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://docs.precisely.com/docs/sftw/spectrum/22.1/en/webhelp/Spatial/ERM/source/Rest/ClosestArcSnapping/impact_on_route_and_matrix_calculations.html | # Impact on Route and Matrix Calculations
In some cases, the user receives an error - “Path could not be calculated.” This error is caused by restricted closest arcs. The improved snapping logic helps in reducing such errors by avoiding restricted arcs.
The improved logic takes the closest arc into consideration and ... | {"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://pdglive.lbl.gov/Particle.action?init=0&node=M142&home=MXXX005 | LIGHT UNFLAVORED MESONS($\boldsymbol S$ = $\boldsymbol C$ = $\boldsymbol B$ = 0) For $\mathit I = 1$ (${{\mathit \pi}}$, ${{\mathit b}}$, ${{\mathit \rho}}$, ${{\mathit a}}$): ${\mathit {\mathit u}}$ ${\mathit {\overline{\mathit d}}}$, ( ${\mathit {\mathit u}}$ ${\mathit {\overline{\mathit u}}}−$ ${\mathit {\mathit d}}... | {"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/velocity-vector.117213/ | # Velocity Vector
1. Apr 11, 2006
### danago
Ok, ive got a question. Its probably something really stupid that im overlooking, but ill ask anyway.
Say i have the question:
if a plane is can travel 75 m/s north (75j i assume?) under normal conditions, what velocity will the pilot need to set if he is to travel dire... | {"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://nceax.co.nz/Y13/Y13%20Differentiation/Rates%201.html | Rates 1
Rates are an important application of calculus . This series of 10 questions provide practice in this.
Question Number Actual Question Answer Right/Wrong 1 2 3 4 5 > 6 7 8 9 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... |
http://mathhelpforum.com/calculus/81588-finding-time-takes-hit-ground.html | # Math Help - Finding the time it takes to hit the ground
1. ## Finding the time it takes to hit the ground
The ball is tossed up in the air from a tower 50m above the ground. If the ball has an inital velocity of 30m/s, how long will it take to hit the ground if a = -9.8m/s^2.
Now ive got my velocity function v = -... | {"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": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.planetmath.org/limitofgeometricsequence | # limit of geometric sequence
As mentionned in the geometric sequence entry,
$\displaystyle\lim_{n\to\infty}ar^{n}=0$ (1)
for $|r|<1$. We will prove this for real or complex values of $r$.
We first remark, that for the values $s>1$ we have $\displaystyle\lim_{n\to\infty}s^{n}=\infty$ (cf. limit of real number... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 16, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/138629/haless-fan-associated-with-a-polyhedron/138631 | # Hales's fan associated with a polyhedron
In Hales's book (cited below), he associates what he calls a fan with any convex polyhedron in $\mathbb{R}^3$. I will not define his notion of fan, but let his figure (p.137) serve as a definition:
My question is: Has this natural object been defined and used previously in o... | {"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://learncheme.com/quiz-yourself/interactive-self-study-modules/fugacities-of-mixtures/fugacities-of-mixtures-screencast/ | #### Fugacities of Mixtures: Screencasts
Explains why fugacity is important for mixtures and explains how it is used.
We suggest you list the important points in this screencast as a way to increase retention.
Describes how the fugacities of each component in a binary mixture liquid change as the temperature increas... | {"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://jp.maplesoft.com/support/help/view.aspx?path=examples%2FCalculus1Tangents | Calculus1 Tangents - Maple Help
Calculus 1: Tangents, Inverses, and Sampling
The Student[Calculus1] package contains three routines that can be used to both work with and visualize the concepts of tangents, the inverses of functions, and the errors of plotting a function by sampling. This worksheet demonstrates this... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 21, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
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