url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://oeis.org/wiki/Template:Sierpi%C5%84ski%27s_triangle_%28Pascal%27s_triangle_mod_2%29 | This site is supported by donations to The OEIS Foundation.
# Template:Sierpiński's triangle (Pascal's triangle mod 2)
Sierpiński's triangle (Pascal's triangle mod
2
)
n
${\displaystyle {\begin{array}{l}\displaystyle {[{\rm {row}}(n)]_{2}=\left[\sum _{i=0}^{n}{\bigg (}{\binom {n}{i}}~{\bmod {~}}2{\bigg )}~2^{i}\ri... | 2019-06-15T20:49:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.embibe.com/exams/perimeter-and-area-of-circle/ | • Written By Keerthi Kulkarni
• Last Modified 06-10-2022
# Perimeter and Area of Circle: Definition, Formula, Examples
Perimeter and Area of Circle: Circle is a very important geometric figure. In our daily life, we see many circular objects around us like a ring, bottom of a bottle, a steering wheel, etc. The length... | 2022-12-02T00:11:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.omnicalculator.com/physics/speed-of-sound | Speed of Sound Calculator
Created by Hanna Pamuła, PhD candidate
Reviewed by Bogna Szyk and Steven Wooding
Last updated: Sep 12, 2022
This speed of sound calculator determines the speed of sound in the air and water.
Not everybody knows about the sound speed dependence on the temperature – the higher the air tempera... | 2022-09-28T00:45:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 10, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://en.wikipedia.org/wiki/2147483647_(number) | 2,147,483,647
(Redirected from 2147483647 (number))
Jump to navigation Jump to search
2147483647
Cardinaltwo billion one hundred forty-seven million four hundred eighty-three thousand six hundred forty-seven
Ordinal2147483647th
(two billion one hundred forty-seven million four hundred eighty-three thousand six hundre... | 2022-12-04T12:14:33 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-solve-x-2-72-x-32-0-using-the-quadratic-formula | How do you solve x^2−(72)x+32=0 using the quadratic formula?
Mar 7, 2016
${x}_{1} = 0 , 45$
${x}_{2} = 71 , 55$
Explanation:
$a {x}^{2} + b x + c = 0$
$\Delta = {b}^{2} - 4 \cdot a \cdot c$
$\Delta = {\left(- 72\right)}^{2} - 4 \cdot 1 \cdot 32 \text{ "Delta=5184-128" } \Delta = 5056$
${x}_{1} = \frac{- b - \sqrt{... | 2019-11-14T14:52:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://birational.yonsei.ac.kr/ag-yonsei-seminar | YONSEI ALGEBRAIC GEOMETRY SEMINARS
• 2020.10.14 1:30 Science hall
Speaker: 윤영호 (성균관대)
Title: Cohomologies in Topology, differential and algebraic geometry
Abstract: There are several cohomology theories in various areas of mathematics. Also, there are well-known relations between these theories. In this talk we review... | 2023-02-07T23:36:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/91930-trig-general-solutions-print.html | # Trig General Solutions
• June 5th 2009, 05:48 PM
xwrathbringerx
Trig General Solutions
Hi
For tan x = sin x, why is the general solution only x = pi*n and not also x=2pi*n?
Similarly, for cos (3x) = cos (x), why is it only x = pi*n/2 and not also x = pi*n?
Thanx!
• June 5th 2009, 06:01 PM
mr fantastic
Quote:
Ori... | 2015-02-27T21:49:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tailieu.vn/doc/jim-hefferon-linear-algebra-solutions-to-all-exercises-38871.html | # Jim Hefferon - Linear Algebra - Solutions To All Exercises
Chia sẻ: Thanh An | Ngày: | Loại File: PDF | Số trang:0
0
144
lượt xem
58
## Jim Hefferon - Linear Algebra - Solutions To All Exercises
Mô tả tài liệu
Cover. This is Cramer’s Rule for the system x1 + 2x2 = 6, 3x1 + x2 = 8. The size of the first box is the... | 2018-12-16T06:29:15 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/micro-econ-mr-mc-ac-etc-help.659359/ | # Micro econ MR MC AC etc help
1. Dec 16, 2012
### GZA09
Micro econ MR MC AC etc help!!
1. The problem statement, all variables and given/known data
The adjacent graph (I've attached it) shows the short-run cost situation of a competitive, profit-maximizing firm. Assume that MC is plotted between units. Determine f... | 2017-08-20T02:25:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/soft-and-ultrasoft-gluons-in-qcd.553746/ | # Soft and ultrasoft gluons in QCD
## Main Question or Discussion Point
I'm reading about factorization in QCD. The terms "soft gluons" and "ultrasoft gluons" are frequently referred to. I know how they are defined in terms of power counting, but don't understand their physical significance. In which QCD processes ar... | 2020-03-28T18:59:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/755192/why-forall-x-neg-alpha-rightarrow-neg-alphax-c-longrightarrow-a | # Why $[\forall x \neg \alpha \rightarrow \neg \alpha^{x}_{c}] \longrightarrow [\alpha^{x}_{c} \rightarrow \exists x \alpha]$ is a tautology?
Let $c$ be a new constant symbol in the language. Then $[\forall x \neg \alpha \rightarrow \neg \alpha^{x}_{c}] \longrightarrow [\alpha^{x}_{c} \rightarrow \exists x \alpha]$ is... | 2019-10-22T03:49:37 | {"extraction_info": {"found_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://cran.rstudio.com/web/packages/acmeR/vignettes/acmeR_Vignette.html | ## Introduction
The purpose of acmeR is to provide implementation of the Avian and Chiropteran Mortality Estimator (ACME) described in Wolpert (2015). The problem of finding the true count of avian and chiropteran deaths at wind turbine sites has been of interest for the last few decades, and several methods exist for... | 2018-10-18T16:02:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://specialfunctionswiki.org/index.php/Derivative_of_hyperbolic_cosecant | # Derivative of hyperbolic cosecant
The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \mathrm{csch}(z)=-\mathrm{csch}(z)\mathrm{coth}(z),$$ where $\mathrm{csch}$ denotes the hyperbolic cosecant and $\mathrm{coth}$ denotes the hyperbolic cotangent.
From the definition, $$\mathrm{csch}(z) = \dfrac{1}{\mathr... | 2019-10-18T20:49:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://threadspodcast.com/mean-square/mean-square-error-optimization.html | Home > Mean Square > Mean Square Error Optimization
# Mean Square Error Optimization
## Contents
By using this site, you agree to the Terms of Use and Privacy Policy. Two basic numerical approaches to obtain the MMSE estimate depends on either finding the conditional expectation E { x | y } {\displaystyle \mathrm − ... | 2018-02-26T01:39:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-challenge-problems/17195-problem-32-a.html | # Math Help - Problem 32
1. ## Problem 32
Given a non-negative integer $n$ we define $P_n(x)$ to be a solution* to:
$(1-x^2)y''-2xy'+n(n+1)y=0 \mbox{ on }(-1,1)$.
Show that:
$\int_{-1}^1P_n(x)P_m(x) dx = 0 \mbox{ for }n\not = m$.
*)Yes, I realize what I said is not well-defined but it makes no difference. Pick any ... | 2015-03-30T00:47:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 39, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://artofproblemsolving.com/wiki/index.php?title=2015_AIME_I_Problems/Problem_15&diff=prev&oldid=69348 | Difference between revisions of "2015 AIME I Problems/Problem 15"
Problem
A block of wood has the shape of a right circular cylinder with radius $6$ and height $8$, and its entire surface has been painted blue. Points $A$ and $B$ are chosen on the edge of one of the circular faces of the cylinder so that $\overarc{AB... | 2021-09-20T17:07:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 64, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.freemathhelp.com/forum/threads/maximum-error-in-calculated-surface-area-volume-of-sphere.60934/ | # Maximum Error in calculated surface area, volume of sphere
##### New member
"The circumference of a sphere was measured to be 84 cm with a possible error of .5 cm. a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error? b) Use differentials to estimate the maxim... | 2019-10-21T13:19:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/differential-equations/107801-cant-solve-diff-equation-x.html | # Thread: Cant solve this diff equation :X
1. ## Cant solve this diff equation :X
(x^2-3y^2)dx + 2xydy = 0
I tried everything I just can't separate the variables :X
2. This is a homogeneous equation because both functions in $dx$ and $dy$ are of degree 2. In this case, make the substitution $y=xv$ and $dy = x dv + ... | 2017-02-23T00:32:18 | {"extraction_info": {"found_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": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://ipm.ac.ir/ViewPaperInfo.jsp?PTID=11468&school=Mathematics | ## “School of Mathematics”
Back to Papers Home
Back to Papers of School of Mathematics
Paper IPM / M / 11468
School of Mathematics Title: Quasirecognition by prime graph of F4(q) where q=2n > 2 Author(s): Behr. Khosravi (Joint with A. Babai) Status: To Appear Journal: Monatsh Math. Supported by: IPM
Abstract:
The ... | 2023-02-08T13:02:08 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathzsolution.com/finding-primes-so-that-xpypzpxpypzp-is-unsolvable-in-the-p-adic-units/ | Finding primes so that xp+yp=zpx^p+y^p=z^p is unsolvable in the p-adic units
On my number theory exam yesterday, we had the following interesting problem related to Fermat’s last theorem:
Suppose $$p>2p>2$$ is a prime. Show that $$xp+yp=zpx^p+y^p=z^p$$ has a solution in $$Z×p\mathbb{Z}_p^{\times}$$ if and only if the... | 2022-10-04T06:18:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1697826/winding-number-of-a-simple-closed-curve-in-a-plane | # Winding number of a simple closed curve in a plane.
I know that a simple closed curve $\gamma$ on a plane divides the plane into two connected components, by the Jordan curve theorem for example. If I use the definition $$\text{Winding number }(a,\gamma)=\frac{1}{2\pi i}\int_{\gamma}\frac{dz}{z-a},$$ then this is a ... | 2019-08-23T21:50:18 | {"extraction_info": {"found_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.shaalaa.com/question-bank-solutions/solve-following-equations-solution-equations-one-variable_81844 | SSC (English Medium) Class 8Maharashtra State Board
Share
# Solve the Following Equations. - SSC (English Medium) Class 8 - Mathematics
ConceptSolution of Equations in One Variable
#### Question
Solve the following equation.
2m + 7 = 9
#### Solution
2m + 7 = 9
Subtracting 7 from both sides
⇒ 2m + 7 - 7 = 9 - 7... | 2020-01-19T11:17:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/42616/can-well-formed-formulas-in-predicate-logic-for-a-given-signature-be-recognized | # Can well-formed formulas in predicate logic for a given signature be recognized in LOGSPACE?
I read that visibly pushdown languages are supposed to model the typical simple formal languages like XML better than deterministic context free languages. The visibly pushdown languages can be recognized in LOGSPACE. I wond... | 2019-01-23T14:37:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gamedev.stackexchange.com/questions/20166/how-do-i-build-a-matrix-to-translate-one-set-of-points-to-another | # How do I build a matrix to translate one set of points to another?
I've got 3 points in space that define a triangle. I've also got a vertex buffer made up of three vertices, that also represent a triangle that I will refer to as a "model".
How can I can I find the matrix M that will transform vertex in my buffer t... | 2020-01-17T19:33:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/is-the-system-linear-if-there-is-an-independant-gravity-term.713534/ | # Is the system linear if there is an independant gravity term
1. Sep 30, 2013
### silentwf
Like the topic,if in my system derivation, there is an independent gravitational force independent of the state variable, is my system linear? I believe it is not but my instructor is telling is it is. I'm thinking that if th... | 2016-10-22T00:01:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.vedantu.com/question-answer/places-a-and-b-are-80-km-apart-from-each-other-class-9-maths-cbse-5ee480fc6c74206b34365e83 | Question
# Places A and B are 80 km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction they meet in 8 hours and if they move towards each other they meet in 1 hour and 20 minutes. Find the speeds of the cars.
Verified
46.3k+ views
Hint: Here... | 2021-10-20T20:57:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proxies-free.com/ag-algebraic-geometry-definition-of-smooth-morphism-of-schemes/ | # ag.algebraic geometry – Definition of smooth morphism of schemes
In Wedhorn’s and Görtz’s book, a morphism $$f: X to Y$$ is said to be smooth of relative dimension $$d$$ when for every $$x in X$$, there exists affine open neighborhoods $$U$$ of $$x$$ and $$V = operatorname{Spec} R$$ of $$y=f(x)$$ such that $$f(U) su... | 2021-08-01T01:10:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.cut-the-knot.org/wiki-math/index.php?n=MathematicalOlympiads.CMO1969Problem2?setview=big&setfontsize=110 | # CMO 1969 Problem 2
Determine which of the two numbers \sqrt{c + 1} - \sqrt{c}, \sqrt{c} - \sqrt{c - 1} is greater for any c ≥ 1.
Solution by Steve Dinh, a.k.a. Vo Duc Dien
Since c ≥ 1, we always have c > \sqrt{c² - 1}
or 2c > 2 \sqrt{c² - 1}
or 4c > 2c + 2 \sqrt{c² - 1} = [ \sqrt{c + 1}+ \sqrt{c - 1}
or 2 \sqrt... | 2019-07-18T14:22:40 | {"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/2884423/bounds-of-roots-for-a-parametric-quartic-equation | # Bounds of roots for a parametric quartic equation
I have the following quartic equation $$\omega_4 x^4+\omega_3 x^3+\omega_2 x^2+\omega_1 x+\omega_0=0$$ where $\omega_i$ depend on several real parameters. I'm not interested in searching its roots, but I would like to respond to the following point:
1. What are the ... | 2019-10-16T16:43:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://oneapi-src.github.io/oneDAL/onedal/algorithms/pairwise-distances/minkowski-distance.html | # Minkowski distance¶
The Minkowski distances are the set of distance metrics with different degree $$(p > 0)$$ and are widely used for distance computation in different algorithms. The most commonly used distance metric, Euclidean distance, is also a Minkowski distance with $$p = 2.0$$.
Operation Computational meth... | 2022-01-22T00:04:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuclid.org/euclid.ba/1519355083 | ## Bayesian Analysis
### Optimal Bayesian Minimax Rates for Unconstrained Large Covariance Matrices
#### Abstract
We obtain the optimal Bayesian minimax rate for the unconstrained large covariance matrix of multivariate normal sample with mean zero, when both the sample size, $n$, and the dimension, $p$, of the cova... | 2018-12-09T21:54:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 4, "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://math.libretexts.org/Courses/Western_Connecticut_State_University/Draft_Custom_Version_MAT_131_College_Algebra/04%3A_Linear_Functions | # 4: Linear Functions
Recall that a function is a relation that assigns to every element in the domain exactly one element in the range. Linear functions are a specific type of function that can be used to model many real-world applications, such as plant growth over time. In this chapter, we will explore linear func... | 2022-09-29T15:12:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.fightfinance.com/?q=90,101,186,331,355,375,567,575,728,773 | # Fight Finance
#### CoursesTagsRandomAllRecentScores
According to the theory of the Capital Asset Pricing Model (CAPM), total variance can be broken into two components, systematic variance and idiosyncratic variance. Which of the following events would be considered the most diversifiable according to the theory of... | 2020-10-20T05:46:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/19023/will-this-beta-branched-secondary-alkyl-halide-undergo-sn1-or-sn2/19025 | Will this beta-branched secondary alkyl halide undergo SN1 or SN2?
What is the correct mechanism here? Would SN1 occur here? I chose SN2 because we have a secondary alkyl halide with a weak base $\ce{CN-}$.
However, the solution says SN1 is major. Can you explain why?
My friend got full credit for this:
Secondary a... | 2020-01-29T06:04:37 | {"extraction_info": {"found_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://mechanismsrobotics.asmedigitalcollection.asme.org/fluidsengineering/article-abstract/130/9/091303/456423/Hydrofoil-Cavitation-Under-Strong-Thermodynamic?redirectedFrom=fulltext | Cavitation was studied for a NACA0015 hydrofoil using a material that simulates cryogenic behavior. Several angles of attack and flow speeds up to $8.6m∕s$ were tested. The material used, 2-trifluoromethyl-1,1,1,2,4,4,5,5,5-nonafluoro-3-pentanone, hereafter referred to as fluoroketone, exhibits a strong thermodynamic e... | 2022-12-06T18:25:53 | {"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://www.physicsforums.com/threads/determinant-in-transformation-from-spherical-to-cartesian-space.680570/ | # Determinant in Transformation from spherical to cartesian space
1. Mar 24, 2013
### Nikitin
1. The problem statement, all variables and given/known data
Evaluate the appropriate determinant to show that the Jacobian of the transformation from Cartesian (this is a typo, they mean spherical) pψθ-space to Cartesian x... | 2018-01-19T16:24:11 | {"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.ck12.org/algebra/Vertex-Form-of-a-Quadratic-Equation/lesson/Vertex-Form-of-a-Quadratic-Equation---Intermediate/ | <meta http-equiv="refresh" content="1; url=/nojavascript/">
# Vertex Form of a Quadratic Equation
%
Progress
Practice Vertex Form of a Quadratic Equation
Progress
%
Vertex Form of a Quadratic Equation
What if you had a quadratic function like $y - 2 = x^2 + 4x$ ? How could you rewrite it in vertex form to find its v... | 2015-03-01T00:08:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.cpm.org/category/CON_FOUND/textbook/a2c/chapter/7/lesson/7.1.4/problem/7-51 | Home > A2C > Chapter 7 > Lesson 7.1.4 > Problem7-51
7-51.
Use each pair of points given below to write a system of equations in $y = mx + b$ form to find the equation of a line that passes through the points. .
1. $\left(20, 2\right)$ and $\left(32, −4\right)$
$20 = m\left(2\right) + b$
$32 = m\left(−4\right) + b$... | 2022-07-03T05:01:43 | {"extraction_info": {"found_math": true, "script_math_tex": 7, "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://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1348 | PL EN
Preferencje
Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
## Discussiones Mathematicae Graph Theory
2007 | 27 | 1 | 105-123
Tytuł artykułu
### Linear and cyclic radio k-labelings of trees
Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Motivated by problems in radio ... | 2021-06-24T07:36:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://davedelong.com/blog/2018/05/01/deriving-a-new-formula/ | Way back in the day, I was fairly obsessed with triangles. I really enjoyed my trigonometry class in high school. In addition to being interesting, it was the impetus for me learning to code. I got a little tired of doing all the myriad of sin() and cos() and tan() functions to solve the triangles needed by my homework... | 2023-03-28T18:49:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/suppose-a-treadmill-has-an-average-acceleration-of-4-7-10-3-m-s-2-how-much-does- | # Suppose a treadmill has an average acceleration of 4.7 * 10^-3 m/s^2. How much does its speed change after 5.0 min? If the treadmill's initial speed is 1.7 m/s, what will its final speed be?
Jan 24, 2017
Final velocity =3.11m/s
#### Explanation:
First of all lets see what is given
$a = 4.7 \cdot {10}^{-} 3$$\fra... | 2020-10-26T18:48:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.koreascience.or.kr/article/JAKO201535258425635.page | # 서해 천해환경에서의 중주파수 해저면 반사손실 측정
Yoon, Young Geul;Lee, Changil;Choi, Jee Woong;Cho, Sungho;Oh, Suntaek;Jung, Seom-Kyu
윤영글;이찬길;최지웅;조성호;오선택;정섬규
• Accepted : 2015.08.09
• Published : 2015.11.30
• 57 65
#### Abstract
KIOST-HYU joint acoustics experiment was performed on the western shallow water off the Taean peninsula in... | 2019-04-24T09:51:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0702.14037 | # zbMATH — the first resource for mathematics
Projective n-folds of log-general type. I. (English) Zbl 0702.14037
In this paper adjunction theory is used to study the projective classification of a normal Gorenstein n-dimensional projective variety, X, which has singularities of codimension $$\geq 3$$, whose irrationa... | 2021-01-20T08:01:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/21848/stability-variation-in-heavy-nuclei | # Stability variation in heavy nuclei
The heavier the atom, the more unstable it gets, right?
That is not true about Uranium and we know it. I wondered why. A brief explanation stated that since more neutrons are there in the nucleus there is more nuclear force to 238U than 235U. Seems legitimate, but then that shoul... | 2019-12-06T07:07:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.vedantu.com/physics/screw-gauge | Courses
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# Screw Gauge
## Screw Gauge Measurement Using the Micrometer
Last updated date: 27th Jan 2023
Total views: 345.3k
Views today: 7.39k
A differential screw is a key component in an analog screw gauge for measuring small magnitudes. There are a numbe... | 2023-01-30T15:14:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://scicomp.stackexchange.com/questions/5579/prolongation-restriction-operator-in-multigrid | # Prolongation/Restriction Operator in Multigrid
In Multigrid, using Poisson's equation, does the equality below always hold regardless of what type of boundary conditions you use? $$R= c\cdot I^T, \text{ for some constant }c$$ where $R$ and $I$ are the restriction and interpolation operator. Why or why not?
It's not... | 2020-08-05T07:46:28 | {"extraction_info": {"found_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://clay6.com/qa/44121/what-is-the-composition-of-the-vapour-which-is-in-equilibrium-at-30-c-with- | Want to ask us a question? Click here
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# What is the composition of the vapour which is in equilibrium at $30^{\large\circ}C$ with a benzene-toluene solution with a mole fraction of benzene of 0.400? ($P_B^0$ = 119 torr and $P_T^0$ = 37.0 torr)
Can you answer this question?
## 1 Answer
0... | 2016-10-25T19:15:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://micromath.wordpress.com/2009/07/24/right-question/ | Posted by: Alexandre Borovik | July 24, 2009
## Right question
An example of a right question, from Martin Hyland:
Kleene’s Theorem: Fix a finite alphabet $\Sigma$. The languages recognised by a finite automaton over $\Sigma$ are exactly the regular languages.
WHY???
WHY IS IT INTUITIVELY OBVIOUS? | 2014-03-09T05:40:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/l2-norm-help.384236/ | L2 - norm help
Could someone please explain to me in fairly basic terms what the L2-norm is and what it does please. More specifically let me know what the following equation does...
E(N) = 2*pi$$\int$$(u(N) - uexact)2 r dr
Where E is the error for a specific N. I haven't found any good resources for learning about ... | 2021-03-03T20:55:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.numerade.com/questions/for-the-following-two-reactions-the-first-may-occur-but-the-second-cannot-explain-beginaligned-mathr/ | Ask your homework questions to teachers and professors, meet other students, and be entered to win \$600 or an Xbox Series X 🎉Join our Discord!
# For the following two reactions, the first may occur but the second cannot. Explain.\begin{aligned} \mathrm{K}^{0} & \rightarrow \pi^{+}+\pi^{-}(\text { can occur) }\\ \Lam... | 2021-04-15T10:36:28 | {"extraction_info": {"found_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://yufree.github.io/blog/2013/08/15/boxplot-vs-violinplot.html | # Box Plot v.s. Violin Plot
In a seminar I introduced the violin plot and showed the following figure(this example comes from the help document):
library(vioplot)
library(sm)
par(mfrow = c(1, 2))
mu <- 2
si <- 0.6
bimodal <- c(rnorm(1000, -mu, si), rnorm(1000, mu, si))
uniform <- runif(1000, -4, 4)
normal <- rnorm(20... | 2020-04-07T04:50:18 | {"extraction_info": {"found_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://plainmath.net/pre-algebra/81836-let-x-x-c | cooloicons62
2022-07-09
Let $X\left(\omega \right)$ be a continuous random variable defined on a probability space $\left(\mathrm{\Omega },\mathcal{F},\mathbb{P}\right)$.
How does the measurability condition of this random variable (i.e. $\mathrm{\forall }r\in \mathbb{R},\left\{\omega :X\left(\omega \right)\le r\righ... | 2023-01-30T15:37:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 61, "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/maclaurin-series-help.88538/ | # Maclaurin series help
1. Sep 11, 2005
### Muzly
I've looked at a number of explanations for the Maclaurin series of cos(x) yet none have given an easily understood answer, i was wondering if anyone has a way of explaining it when it is used as only a part of a function
eg. use that Maclaurin series of cos(x) to o... | 2016-10-28T16:08:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gmatclub.com/forum/m70-275108.html | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 19 Sep 2018, 04:07
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | 2018-09-19T11:07:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/60274/random-forest-binary-classification-vs-regression | # Random forest - binary classification vs. regression?
I have a dataset that I'm trying to classify into 2 groups, A and B, using a random forest model. I know the true grouping and I'm trying to see how well I can model it using the other available variables. I've tried 2 different approaches that I thought would be... | 2021-11-27T00:24:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://bootmath.com/if-f_nto-f-a-e-and-are-bounded-in-lp-norm-then-int-f_n-gto-int-fg-for-any-gin-lq.html | # If $f_n\to f$ a.e. and are bounded in $L^p$ norm, then $\int f_n g\to \int fg$ for any $g\in L^q$
Suppose $p>1$ and $q$ is its conjugate exponent. Suppose $f_n \rightarrow f~a.e.$ and $\sup_n\|f_n\|_p < \infty$. prove that if $g \in L^q,$ then $\lim_{n \rightarrow \infty} \int f_ng=\int fg.$ Does this extend to the ... | 2018-07-17T10:02:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41598-017-11631-0?error=cookies_not_supported&code=dd0e2117-a5f8-4dac-a1ba-e4eb4cd8ec88 | Article | Open
# Spatiotemporal brain dynamics of auditory temporal assimilation
• Scientific Reports 7, Article number: 11400 (2017)
• doi:10.1038/s41598-017-11631-0
Accepted:
Published online:
## Abstract
Time is a fundamental dimension, but millisecond-level judgments sometimes lead to perceptual illusions. We p... | 2018-01-22T21:56:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 4, "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.projecteuclid.org/euclid.aop/1395838121 | ## The Annals of Probability
### The Seneta–Heyde scaling for the branching random walk
#### Abstract
We consider the boundary case (in the sense of Biggins and Kyprianou [Electron. J. Probab. 10 (2005) 609–631] in a one-dimensional super-critical branching random walk, and study the additive martingale $(W_{n})$. W... | 2019-10-14T02:48:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.answers.com/Q/What_is_the_definition_of_mass_in_math | Geometry
Physics
Gravity
# What is the definition of mass in math?
###### 05/16/2012
Mass is the amount of matter present in any given chunk (i.e. size/volume) of space. In mathematical terms, m=F/a (i.e. mass = Force divided by acceleration). This equation is obtained by manipulating Newton's Second law, F=ma.
An ... | 2019-10-17T13:06:10 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://cracku.in/20-let-d-and-e-be-points-on-sides-ab-and-ac-respectiv-x-cat-2021-slot-2-quant | Question 20
# Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is
Solution
We have :
Now area of ADE = $$\frac{1}{2}\times\ AD\times\ AE\times\ \sin A$$
=... | 2022-08-13T10:01:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0412.57007 | ## Homotopy equivalences of 3-manifolds with boundaries.(English)Zbl 0412.57007
Lecture Notes in Mathematics. 761. Berlin-Heidelberg-New York: Springer-Verlag. 303 p. DM 32.00; \$ 17.60 (1979).
### MSC:
57N10 Topology of general $$3$$-manifolds (MSC2010)
Zbl 0157.306 | 2023-03-25T00:50:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://andrewdroll.com/blog/entries/bitcoin_mine.php | # Life in a Bitcoin mine
Yesterday's blog contained an overview of a recent crisis in the Bitcoin world having to do with a single organization achieving a majority of the currency's transaction processing power. Today I want to talk more about mining, and how it actually works at a fundamental level in the Bitcoin pr... | 2018-02-19T11:54:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://fykos.cz/year23/problems/series2 | # 2. Series 23. Year
### 1. calamity
One of organizers of Fykos was travelling by train back home. The train was locked in by a snow storm. He was bravely counting snow flakes behind the window and was thinking: „How many snow flakes are in 1kg of snow?“ Are you able to make qualified guess to this question?
### 2. ... | 2018-05-21T10:52:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://planetmath.org/node/36348/source | # associator
## Primary tabs
\documentclass{article}
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb,amscd}
\usepackage{amsmath}
\usepackage{amsfon... | 2018-02-23T00:59:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Supervised-Dimensionality-Reduction-via-Distance-Vepakomma-Tonde/6f8152f71351895d7a5f7783545725bd51551646 | Supervised Dimensionality Reduction via Distance Correlation Maximization
@article{Vepakomma2016SupervisedDR,
title={Supervised Dimensionality Reduction via Distance Correlation Maximization},
author={Praneeth Vepakomma and Chetan Tonde and A. Elgammal},
journal={ArXiv},
year={2016},
volume={abs/1601.00236}
}
• Publis... | 2023-03-22T18:24:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/50516ad1e4b0821420444780 | ## AravindG 3 years ago what us completing the square method..i knew it but frgt can anyone help me ?
1. anonymous
do you want a demonstration?
2. AravindG
general involving a ,b c and if possible a demonstration also
3. AravindG
it seems this method is pretty useful for solving quadratics thats why i am revising... | 2016-07-23T09:13:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41467-020-14624-2?utm_source=sn&utm_medium=referral&utm_content=RMarketing&utm_campaign=SRCL_1_rd01_SDGG_sdg2_WorldFoodDay&error=cookies_not_supported&code=3b86c537-4c5b-4ee7-8cc3-0fbf7e02a510 | ## Introduction
Lakes, natural and man-made, are important reserves of accessible freshwater and are frequently managed for provisioning ecosystem services1, such as drinking water, irrigation, hydropower generation, and fisheries2. Consequently, biota in lake ecosystems could be subject to stressors associated with h... | 2022-09-28T05:56:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://openforecast.org/adam/ADAMARIMA.html | But besides the conventional formulation, there are also state space forms of ARIMA, the most relevant to our topic being the one implemented in SSOE form (Chapter 11 of Hyndman et al., 2008). Svetunkov and Boylan (2020) adapted this state space model for supply chain forecasting, developing an order selection mechanis... | 2022-05-22T11:53:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/369912/photo-diode-for-a-high-frequency-tachometer | # Photo-diode for a high-frequency tachometer
I intend to build a tachometer, which is capable of detecting rotations up to 1kHz (60 000 RPM). From the Internet I know that this is possible to do with a magnet and a Hall detector. However, I would prefer a non-invasive solution with a light and a photo-detector, but f... | 2021-06-21T05:03:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://vismor.com/documents/network_analysis/matrix_algorithms/S7.SS5.php | # 7.5 Crout’s Method for Symmetric Matrices
If A is a symmetric n × n matrix, Algorithm 12 computes – one column at a time – the lower triangular matrix L that results from a Crout decomposition. The lower triangular portion of A is overwritten by L.
Algorithm 12: Crout’s Method - Symmetric Implementation
for $j=1,\... | 2019-02-21T15:27:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 20, "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://diaitisia.gr/suayn/angle-between-hour-and-minute-hand-at-3%3A30-203d5f | For the minute hand, one minute equates to 6 degrees. The hour hand should point to the 3 (90 degrees) at 3 o'clock. i.e. Calculate the Angle between 12 and the Hour hand 3: Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees So our formula is 30(H) So ... | 2021-07-25T09:23:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tspace.library.utoronto.ca/handle/1807/33284 | Home
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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/33284
Title: Tailoring the Acoustic Properties of Truss-Core Sandwich Structure Authors: Lee, Richa... | 2014-03-09T03:25:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/51d3b344e4b08d0a48e4c6a3 | 1. anonymous
Select one: a. h = 12 and r = 4 b. h = 6.75 and r = 4.5 c. h = 6.75 and r = 2.25 d. h = 12 and r = 8
2. hartnn
you just need to scale things by the given factor. $$new = k \times old$$ here, k=4/3 old height =9 new hight = 4/3 * 9 =... ?
3. anonymous
4. hartnn
you just need answers ?? also, the answe... | 2017-01-24T15:59:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.researcher-app.com/paper/283425 | 3 years ago
# Scattering of electromagnetic waves from a cone with conformal mapping: application to scanning near-field optical microscope.
S. T. Chui, Jian Zi, Zhifang Lin, Xinzhong Chen, Mengkun Liu
We study the response of a conical metallic surface to an external electromagnetic (EM) field by representing the f... | 2022-08-17T04:00:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/48465-prove-limit.html | 1. Prove Limit
Can someone show me how to solve this?
Prove limit[x^3, x, 2]=8
2. Originally Posted by sjenkins
Can someone show me how to solve this?
Prove limit[x^3, x, 2]=8
Don't CAS speak. Write it using correct mathematical notation:
Prove $\lim_{x \rightarrow 2} x^3 = 8$.
Are you required to do an epsilon-d... | 2016-09-01T00:34:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://theinfolist.com/php/SummaryGet.php?FindGo=Regression_analysis | Regression analysis
TheInfoList
OR:
In
statistical model A statistical model is a mathematical model A mathematical model is a description of a system A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded a ...
ing, regression a... | 2023-02-07T17:50:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 120, "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://dev.theomader.com/stable-csm/ | # Stable CSM
So… How can we fix this? First, lets agree to make the shadow map size in world space constant, say `shadowMapSize`, and decouple it from light and camera rotation. In my case I chose to align the shadow map to world space $X$ and $Z$ axis. I do so by exchanging the shadow view matrix for a matrix where t... | 2020-07-15T08:51:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 10, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://nuclearengineering.asmedigitalcollection.asme.org/vibrationacoustics/article/144/3/031002/1119318/Nonlinear-Restoring-Force-Identification-of?searchresult=1 | ## Abstract
Strongly nonlinear structures have attracted a great deal of attention in energy harvesting and vibration isolation recently. However, it is challenging to accurately characterize the nonlinear restoring force using analytical modeling or cyclic loading tests in many realistic conditions due to the uncerta... | 2022-10-04T00:06:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 35, "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://ptsymmetry.net/?p=512 | ## Algebraic method for pseudo-hermitian Hamiltonian
Jun-Qing Li, Yan-Gang Miao, Zhao Xue
An algebraic method for pseudo-hermitian systems is proposed through redefining annihilation and creation operators which are pseudo-hermitian adjoint to each other. As an example, a parity-pseudo-hermitian Hamiltonian is constr... | 2018-07-16T02:39:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://economics.stackexchange.com/questions/20272/dynamic-factor-model-for-inflation-uig | # Dynamic factor model for inflation (UIG)
I'm trying to replicate some results of Fed Underlying Inflation Gauge (UIG) model, which is a dynamic factor model to capture inflation trend. https://www.newyorkfed.org/research/policy/underlying-inflation-gauge
I'm getting some not so good results. The following figure sh... | 2020-01-21T08:30:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stogblog.net/tag/typical-user/ | Tag: typical user
# The curious shape of Poisson-Voronoi cells
In this blog we are exploring the shape of two kinds of cells in the Poisson-Voronoi tessellation on the plane, namely the 0-cell and the typical cell. The 0-cell is the cell containing the origin, while the typical cell is the cell obtained by conditioni... | 2021-10-23T23:49:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 4, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://carma.newcastle.edu.au/ev2.php?s=5 | Priority Research Centre for Computer-AssistedResearch Mathematics and its Applications
Member Links: (login required) Members Area CARMA News Manager CARMA Web Logs CARMA Seminar Manager CARMA Wiki Subscribe to our seminar mailing list Subscribe to our events calendar (iCal format)
### CARMA-Sponsored Seminar Series... | 2017-12-14T07:51:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://paperswithcode.com/paper/precise-higgs-mass-calculations-in-non | # Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
1 Sep 2016Peter AthronJae-hyeon ParkTom SteudtnerDominik StöckingerAlexander Voigt
We present FlexibleEFTHiggs, a method for calculating the SM-like Higgs pole mass in SUSY (and even non-SUSY) models, which combines an effect... | 2020-05-29T00:46:55 | {"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.freemathhelp.com/forum/threads/linear-word-problem-2.68071/ | # linear word problem # 2
#### MaggieSmith12345
##### New member
you have $500,000 in an IRA at the time you retire. You have the option of investion this money in twofunds: Fund A pays 1.9% annually and Fund B pays 6.9% annually. How should you divide your money between Fund A and Fund B to produce an annual interes... | 2019-03-26T06:09:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://lambda-the-ultimate.org/node/2211 | ## Decidability of Higher Order Matching
Decidability of Higher Order Matching, Colin Stirling.
Higher-order unification is the problem: given an equation t = u containing free variables, is there a solution substitution Θ such that tΘ and uΘ have the same normal form? The terms are drawn from the simply typed lambda... | 2019-06-18T02:46:38 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/77118-properties-groups-print.html | # Properties of groups
• March 5th 2009, 12:42 PM
iain3915
Properties of groups
• March 5th 2009, 04:13 PM
kalagota
3)
$(a^m)^n = \underbrace{a^m+a^m+\cdots a^m}_{n \mbox{ times}} = \underbrace{\underbrace{a+a+\cdots a}_{m \mbox{ times}}+\underbrace{a+a+\cdots a}_{m \mbox{ times}}+\cdots \underbrace{a+a+\cdots a}_{m \... | 2014-08-02T07:04:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 14, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/michelson-interferometer-calculating-errors.749712/ | # Michelson Interferometer - calculating errors
1. Apr 20, 2014
### unscientific
1. The problem statement, all variables and given/known data
Part (a): Find an expression for intensity, interference phase and total change of interference phase.
Part (b): Find an expression for <L1>/L0 and its error.
Part (c): Fin... | 2017-08-19T17:18:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.groundai.com/project/quantifying-entanglement-with-covariance-matrices/ | Quantifying entanglement with covariance matrices
# Quantifying entanglement with covariance matrices
Oleg Gittsovich Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, 6020 Innsbruck, Austria Otfried Gühne Institut für Quantenoptik und Quanteninf... | 2021-01-24T05:40:52 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathcs.emory.edu/seminars-detail.php?seminarId=670 | # Seminar detail
Upcoming Seminars No upcoming seminars currently scheduled. Past Seminars Thu09/27/20124:00pm ColloquiumOptimal partitions of measuresGershon Wolansky, Technion - Israel Institute of TechnologyContact: Professor Vladimir Oliker, oliker@mathcs.emory.eduVenue: Mathematics and Science Center, Room W301D... | 2013-05-24T14:09:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://csschoolonline.com/second-order-differential-equation/ | Mathematics Differential Equations Second-Order Differential Equation | linear-nonlinear | Homo-Non Homogeneous
# Second-Order Differential Equation | linear-nonlinear | Homo-Non Homogeneous
-
In previous discussion we have talked about the first order differential equations, see here ». In this article we will disc... | 2020-07-13T18:00:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.nag.com/numeric/MB/manual64_24_1/html/G03/g03faf.html | Integer type: int32 int64 nag_int show int32 show int32 show int64 show int64 show nag_int show nag_int
Chapter Contents
Chapter Introduction
NAG Toolbox
NAG Toolbox: nag_mv_multidimscal_metric (g03fa)
Purpose
nag_mv_multidimscal_metric (g03fa) performs a principal coordinate analysis also known as classic... | 2016-05-01T22:20:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 61, "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://sciencewise.info/definitions/Almost_disjoint_family_by_Jonathan_Verner | Almost disjoint family
Also available as: PDF, LaTeX.
A family of sets $\mathcal A$ is called an almost disjoint family if the intersection of any two elements of $\mathcal A$ is finite. | 2018-05-26T20:05:04 | {"extraction_info": {"found_math": true, "script_math_tex": 2, "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://mathematica.stackexchange.com/questions/182025/which-is-the-correct-way-to-parallelize-this-code | # Which is the correct way to parallelize this code?
I am reading this blog on how to parallelize Sow and Reap, but it uses SetSharedFunction:
Life[init_,step_]:=First[CellularAutomaton[{224,{2,{{2,2,2},{2,1,2},{2,2,2}}},{1,1}},{init,0},{{step}}]]
InterestingQ[result_, n_] := Count[Flatten[result], 1] >= n
SetSharedF... | 2021-01-22T00:59:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://studyadda.com/sample-papers/kvpy-stream-sx-model-paper-5_q22/1691/452443 | • # question_answer In the circuit shown the cell is ideal. The coil has an inductance of 4H and zero resistance. F is a fuse of zero resistance and will blow when the current through it reaches 5A. The switch is closed at t = 0. The fuse will blow- A) After 5 sec B) After 2 sec C) After 10 sec D) Just after closing of... | 2022-01-17T09:31:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=20635 | ## [SOLVED] Re: "The other quaternions": how useful are 2x2 real matrices to
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no,location=no, scrollbars=yes,resizable=yes,status=no,width=650,height=400'); newWindow.document.write('<HTML>... | 2013-05-21T10:29:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://datascience.stackexchange.com/questions/47357/how-many-channels-do-ultrasound-images-have | # How many channels do ultrasound images have?
I have some ultrasound images. When I read them using cv.imread and check their shape or check them with ndim, it shows 3 channels:
im = cv.imread(data_path+'a1.jpg')
print(im.shape)
im = np.array(im)
print(im.ndim)
the output is:
(154, 139, 3)
3
But when I open them ... | 2021-01-21T12:32:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/wiens-law.89868/ | # Wien's Law
1. Sep 19, 2005
### O_o
Hi,
I'm supposed to prove that Wien's Law: $$P(\lambda,T) = \frac{f(\lambda T)}{\lambda^5}$$ includes Stefan-Botlzmann's Law $$R(T) = \sigma T^4$$ and Wien's Displacement Law: $$\lambda_{max} T = b$$
For Wien's Displacement Law:
I know that I would have to find when $$P(\lambd... | 2017-09-20T15:08:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/72601/definition-of-model-of-an-algebraic-curve/137614 | # Definition of Model of an Algebraic Curve
I'm reading the classical paper of Arakelov "Intersection Theory of Divisors on an Arithmetic Surface". At the very beginning he uses the notion of model of a curve.
In specific we have a number field $K$ with ring of integers $R$, $X$ is a smooth complete algebraic curve o... | 2015-04-21T07:24:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.groundai.com/project/unveiling-the-mssm-neutral-higgs-bosons-with-leptons-and-a-bottom-quark/ | Unveiling the MSSM Neutral Higgs Bosonswith Leptons and a Bottom Quark
# Unveiling the MSSM Neutral Higgs Bosons with Leptons and a Bottom Quark
Baris Altunkaynak, Chung Kao and Kesheng Yang Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA
December 11, 2013
###### Abst... | 2020-01-23T02:55:52 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://forum.allaboutcircuits.com/threads/convolution-help.59386/ | # Convolution Help
Discussion in 'Homework Help' started by jp1390, Sep 14, 2011.
1. ### jp1390 Thread Starter Member
Aug 22, 2011
45
2
Okay, so after reading my textbook a billion times and scouring previously made thread topics and online resources, I still find myself stumped as to what the application of Convolu... | 2018-11-17T09:28:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 6, "/images/mat... |
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