url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://math.stackexchange.com/questions/909640/boundary-layer-leading-order-pertubation-theory-differential-equations | # Boundary Layer, leading order, Pertubation Theory, Differential Equations
I have got the following problem, taken from Multiple Scale and singular perturbation methods, Kevorkian & Cole book, page 94, exercise 1.b.:
Find the leading order of the problem:
$\varepsilon y''+ \frac{1}{2}y^2y'-y=0$, with $0<x<1$ and $y... | 2019-08-23T16:27:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://docs.pennylane.ai/en/stable/code/api/pennylane.operation.Operator.html | # qml.operation.Operator¶
class Operator(*params, wires=None, do_queue=True, id=None)[source]
Bases: abc.ABC
Base class representing quantum operators.
Operators are uniquely defined by their name, the wires they act on, their (trainable) parameters, and their (non-trainable) hyperparameters. The trainable paramete... | 2023-01-27T05:39:20 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://conal.net/blog/page/2 | ## Parallel tree scanning by composition
My last few blog posts have been on the theme of scans, and particularly on parallel scans. In Composable parallel scanning, I tackled parallel scanning in a very general setting. There are five simple building blocks out of which a vast assortment of data structures can be bui... | 2014-04-17T03:48:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "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://tex.stackexchange.com/questions/566889/understanding-algorithmic-graph-drawing-in-tikz | # Understanding algorithmic graph drawing in TikZ
Using the graphdrawing library for TikZ, is it possible to draw the following graph
with this formatting?
I have used the following code to draw it "manually":
\tikz[nodes={circle, draw}] {
\node (1) at (0,0) {1};
\node (2) at (-1.5,-1.5) {2};
\node (5) at (0, -... | 2021-01-20T07:43:53 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://keisan.casio.com/exec/system/1292214910 | # Stirling number of the 1st kind (table) Calculator
## Calculates a table of the Stirling numbers of the first kind s(n,k) with specified n.
n n=1,2,3,... 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
$\normal Stirling\ number\ of\ the\ 1st\ kind\ s(n,k)\\[10](1)\ x(x-1)(x-2)\... | 2019-01-18T03:16:18 | {"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": 1, "/images/mat... |
https://socratic.org/questions/how-do-you-solve-the-system-2x-y-5-and-x-2y-5 | # How do you solve the system 2x + y = 5 and x - 2y = -5?
May 22, 2015
You can isolate one variable in one equation and then substitute its value in the other, as follows.
Let's, for example, isolate $y$ in the first one.
$y = 5 - 2 x$
Now, substitute it in the second:
$x - 2 \left(5 - 2 x\right) = - 5$
$x - 10 +... | 2020-02-24T18:06:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 9, "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.sciforums.com/threads/the-light-speed-postulate-and-its-interpretation-in-derivations-of-the-lorentz-transformation.156141/page-5 | # The Light Speed Postulate and its Interpretation in Derivations of the Lorentz Transformation
Discussion in 'Pseudoscience' started by tsmid, Apr 24, 2016.
1. ### Confused2Registered Senior Member
Messages:
503
The link between the two frames is
x1²-c ²t1 ²=x2²-c ²t2 ²
If you don't get that by whatever means you u... | 2019-01-19T11:10:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.bennington.college/courses/spring2021/algorithms/notes/graphs3 | Spring 2021
-->
# April 15 - graphs part 3
... start recording.
Questions?
(This yellow & black image is one I generated last night ... its a maze generated by graph search! Stay tuned ...)
We're working now on understanding trees and graphs : what they are, how to work with them in a computer program, and how to ... | 2022-05-16T11:52:20 | {"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": 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/velocity-question-for-a-car-accelerating-down-a-road.975055/ | # Velocity Question for a Car Accelerating Down a Road
## Homework Statement:
A car uniformly accelerates along a straight road, goes the distance between two points 240 m apart in 8 s. Its velocity as it passes the first point is 12 m/s. Find the acceleration of the car and its velocity as it passes the second point... | 2020-10-27T03:54:27 | {"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://en.wikipedia.org/wiki/1/2_+_1/4_+_1/8_+_1/16_+_%c2%b7_%c2%b7_%c2%b7 | # 1/2 + 1/4 + 1/8 + 1/16 + ⋯
(Redirected from 1/2 + 1/4 + 1/8 + 1/16 + · · ·)
First six summands drawn as portions of a square.
In mathematics, the infinite series 1/2 + 1/4 + 1/8 + 1/16 + · · · is an elementary example of a geometric series that converges absolutely.
Its sum is
$\frac12+\frac14+\frac18+\frac{1}{16... | 2015-02-27T16:06:37 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://digre.pmf.unizg.hr/5000/ | # Fibonometrija
Šoltić, Klara (2016) Fibonometrija. Diploma thesis, Faculty of Science > Department of Mathematics.
Preview
PDF
Language: Croatian
Trigonometric functions are a good choice for deriving relations between Fibonacci and Lucas numbers. Since this is an elegant and simple approach to this issue, it dese... | 2018-07-21T15:26:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dralb.com/2018/11/05/the-division-algorithm/ | # The Division Algorithm
In Comparing fractions with Pythagoras we explored the Pythagorean belief that all numbers are commensurate. That is, given two numbers, we can find a smaller number that divides both of these numbers. The reason for this belief was that fact that this is indeed true for all natural numbers ... | 2021-07-30T13:55:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ai.stackexchange.com/tags/expectation/hot?filter=year | # Tag Info
A quick review of resolving expectations: If you know that a discrete random variable $X$, drawn from set $\mathcal{X}$ has probability distribution $p(x) = \mathbf{Pr}\{X=x \}$, then $$\mathbb{E}[X] = \sum_{x \in \mathcal{X}} xp(x)$$ This equation is the core of what is going on when resolving the expectat... | 2021-12-06T18:07:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://halcyon.ga/post/thermal-efficiency-pv-diagram | # thermal efficiency pv diagram
halcyon.ga 9 out of 10 based on 600 ratings. 1000 user reviews.
Can the efficiency of a thermodynamic cycle be worked out ... $\begingroup$ The efficiency can not be determined solely from the P V diagram. The efficiency is equal to the work done divided by the input heat added. Even i... | 2019-09-21T05:38:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.brightstorm.com/math/algebra-2/roots-and-radicals/powers-of-i/ | # Powers of i - Concept 14,300 views
To determine the value of i raised to a power greater than two, we rewrite the term using exponent rules.Remember that i^2 = -1 and i^4 = 1. Therefore, any exponent of i that is a multiple of four will equal one; any even exponent not divisible by four will equal negative one. Also... | 2014-04-25T08:15:41 | {"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://gamedev.stackexchange.com/questions/172147/convert-3d-direction-vectors-to-yaw-pitch-roll-angles | # Convert 3D direction vectors to yaw/pitch/roll angles
I have the code below that takes a set of yaw, pitch, and roll rotation angles (in degrees), and populates forward, right, and up basis vectors to express this rotated orientation as a Cartesian coordinate basis.
Now I'd like to do the opposite operation: given ... | 2019-11-21T08:23:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.iacr.org/cryptodb/data/conf.php?venue=tcc&year=2019 | ## CryptoDB
### Papers from TCC 2019
Year
Venue
Title
2019
TCC
2019
TCC
2019
TCC
Algebraically Structured LWE, Revisited
In recent years, there has been a proliferation of algebraically structured Learning With Errors (LWE) variants, including Ring-LWE, Module-LWE, Polynomial-LWE, Order-LWE, and Middle-Product LWE, a... | 2019-12-11T04:17:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://laussy.org/wiki/WLM | # Welcome
Welcome to the web of the Wolverhampton Light & Matter (WLM) group, at the University of Wolverhampton, West Midlands, UK.
We are still a young group (born on January 6, 2017; 2150 days ago) but moving fast (see our News).
We are a theoretical groups working in various areas of quantum optics, condensed-ma... | 2022-11-26T18:31:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://hsm.stackexchange.com/questions/7969/clairauts-proposed-correction-reported-as-dalemberts-clairauts-and-euler | # Clairaut's proposed correction (reported as “D'Alembert's, Clairaut's and Euler's corrections”) to the Newtonian inverse-square law of gravity
From A.P. Yushkevich, "Leonhard Euler, his life and work", in "Development of Leonhard Euler's ideas and contemporary science", Nauka, Moscow, 1988, 15--46 (translation from ... | 2019-12-12T08:59:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ideals.illinois.edu/handle/2142/108463 | ## Files in this item
FilesDescriptionFormat
application/pdf
JOSHI-DISSERTATION-2020.pdf (15MB)
(no description provided)PDF
## Description
Title: Adapt-to-learn policy transfer in reinforcement learning and deep model reference adaptive control Author(s): Joshi, Girish Director of Research: Chowdhary, Girish Doc... | 2020-10-28T18:27:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/2083?sort=oldest | ## Stein Manifolds and Affine Varieties
When is a Stein manifold a complex affine variety? I had thought that there was a theorem saying that a variety which is Stein and has finitely generated ring of regular functions implies affine, but in the comments to my answer here, Serre's counterexample was brought up. I'm g... | 2013-05-24T13:52:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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:0123.25503 | # zbMATH — the first resource for mathematics
Remarks on number theory. III. (Hungarian. English, Russian summaries) Zbl 0123.25503
Summary: Let $$a_1 < a_2 < \cdots$$, $$A(x) = \sum_{a_i \leq x} 1$$ be an infinite sequence for which (1) $$a_k=a_{i_1}+\cdots +a_{i_r}$$, $$i < \cdots < i_r < k$$, is not solvable. I pro... | 2021-10-17T21:28:44 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://arxiver.wordpress.com/2017/03/02/kic-4150611-a-rare-multi-eclipsing-quintuple-with-a-hybrid-pulsator-ssa/ | # KIC 4150611: a rare multi-eclipsing quintuple with a hybrid pulsator [SSA]
We present the results of our analysis of KIC 4150611 (HD 181469) – an interesting, bright quintuple system that includes a hybrid $\delta$ Sct/$\gamma$ Dor pulsator. Four periods of eclipses – 94.2, 8.65, 1.52 and 1.43 d – have been observed... | 2021-05-07T07:30:30 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://de.maplesoft.com/support/help/maple/view.aspx?path=examples%2FWavelets | Wavelets and Applications - Maple Programming Help
Home : Support : Online Help : Applications and Example Worksheets : Discrete Mathematics : examples/Wavelets
Wavelets and Applications
Introduction Wavelets are powerful tools that can be used in signal processing and data compression. Wavelet transforms are an ex... | 2020-08-06T10:43:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 109, "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... |
https://cn.maplesoft.com/support/help/maple/view.aspx?path=GroupTheory/ProjectiveGeneralUnitaryGroup&L=C | ProjectiveGeneralUnitaryGroup - Maple Help
Home : Support : Online Help : Mathematics : Group Theory : ProjectiveGeneralUnitaryGroup
GroupTheory
ProjectiveGeneralUnitaryGroup
construct a permutation group isomorphic to a projective general unitary group
Calling Sequence ProjectiveGeneralUnitaryGroup(n, q) PGU(n,... | 2022-10-04T09:40:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 28, "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/newtons-law-of-gravitation.807697/ | # Newton's law of gravitation
1. Apr 9, 2015
### Calpalned
1. The problem statement, all variables and given/known
according
to my calculus III textbook, the gravitational force acting on an object at $x = <x,y,z>$ is $F(x)=-\frac{mMG}{|x|^3} x$. What's the point of having a cube on the bottom. Why shouldn't I memor... | 2017-08-17T03:28:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.hpmuseum.org/forum/thread-10155.html | Kepler's 2nd. Law
02-12-2018, 09:53 AM (This post was last modified: 02-12-2018 10:43 AM by Ángel Martin.)
Post: #1
Ángel Martin Senior Member Posts: 1,046 Joined: Dec 2013
Kepler's 2nd. Law
From a recent conversation with a friend's on the Kepler's laws - his son's subject for a High school paper. The goal was to cal... | 2019-12-12T04:01:22 | {"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.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-10-section-10-6-counting-principles-permutations-and-combinations-exercise-set-page-1104/48 | ## Precalculus (6th Edition) Blitzer
We need to choose 4 letters from a group of 7 letters. The order in which the letters are chosen matters because 7 letters of the word "COMBINE" are distinct. Therefore, we need to find the number of permutations of 7 things taken 4 at a time. Apply the formula, ${}_{n}{{P}_{r}}=\f... | 2021-04-19T05:00:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/tags/inequality/hot | # Tag Info
14
$(f(x))^2 = 4x^2\left(1+\sqrt{1-x^2}\right)^2$. Let $y = \sqrt{1-x^2} \Rightarrow x^2 = 1 - y^2 \Rightarrow (f(x))^2 = 4(1-y^2)(1+y)^2 = 4(1-y)(1+y)^3$. Apply AM-GM inequality we have: 2 = (1-y) + \dfrac{1+y}{3} + \dfrac{1+y}{3} + \dfrac{1+y}{3} \geq 4\sqrt[4]{\dfrac{(1-y)(1+y)^3}{27}} \Rightarrow \dfra... | 2014-12-20T01:13:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nxtchoice.com/introduction/Aptitude/Complex-Number/66 | #### Complex Number Introduction
##### DEFINITION:
A complex number is a number that can be expressed in the form a + ib, where a, b are real numbers and i is the imaginary unit that satisfies the equation i = $\sqrt{-1}$
• Complex number a + ib is denoted by Z. Where a = Real part and b = Imaginary Part
• Real part... | 2021-12-03T07:13:14 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ezeenotes.in/a-particle-moves-with-constant-acceleration-and-%F0%9D%91%A31-%F0%9D%91%A32-and-%F0%9D%91%A33-denote-the-average-velocities-in-the-three-successive-interval-%F0%9D%91%A11%F0%9D%91%A12-and/ | # A particle moves with constant acceleration and 𝑣1, 𝑣2 and 𝑣3 denote the average velocities in the three successive interval 𝑡1,𝑡2 and 𝑡3 of time. Which of the following relations is correct?
Question : A particle moves with constant acceleration and 𝑣1, 𝑣2 and 𝑣3 denote the average velocities in the three ... | 2023-02-09T13:13:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/599fa01c7c01495b834a0c75#467940 | # Question a0c75
Aug 25, 2017
${a}_{\text{c}} = 1008$ ${\text{m s}}^{- 2}$
#### Explanation:
First, let's find the time period of this system.
The string fully rotates $25$ times in $14$ seconds.
Time period is defined as the time taken to complete one full rotation.
Rightarrow "T" = frac(14 " s")(25)
$\therefo... | 2022-01-25T01:49:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 23, "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://www.researchgate.net/publication/2759834_Parallel_Algorithms_For_The_Spectral_Transform_Method | Article
# Parallel Algorithms For The Spectral Transform Method
Authors:
To read the full-text of this research, you can request a copy directly from the authors.
## Abstract
The spectral transform method is a standard numerical technique for solving par- tial differential equations on a sphere and is widely used i... | 2022-06-26T03:17:19 | {"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://math.stackexchange.com/questions/3407995/why-is-a-topology-easily-described-by-its-subbasis-but-a-sigma-algebra-canno | # Why is a topology easily described by its subbasis, but a $\sigma$-algebra cannot be expressed by its generating set?
Let $$X$$ be a set and $$\mathscr{A} \subseteq 2^X$$ a collection of subsets. Describing the topology $$\tau(\mathscr{A})$$ generated by $$\mathscr{A}$$ is easy: any open set in $$\tau(\mathscr{A})$$... | 2020-09-22T11:53:51 | {"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://community.boredofstudies.org/14/mathematics-extension-2/385887/bos-trial.html | 1. ## BOS trial
Was stuck on a question:
Sketch the locus defined by arg(z^2+z)=pi/3, stating its equation.
Obviously this will turn into the hyperbola with the positive branch, but how do we find the equation?
Also, anyone know when the bored of studies trial will be held this year, of is it held already?
2. ## Re:... | 2019-02-20T21:51:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.fixedpointtheoryandapplications.com/content/2012/1/58 | Research
Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications
Xiaolong Qin1, Ravi P Agarwal2, Sun Young Cho3* and Shin Min Kang4*
Author Affiliations
1 Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
2 Department of M... | 2013-12-13T16:04:57 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/583bc1b311ef6b7269ab885c | # How does the electronic and geometric structure differ between the ozone and water molecules?
Nov 29, 2016
What is the bond angle around the central atom for $s {p}^{3}$ hybridization versus $s {p}^{2}$ hybridization.
#### Explanation:
We use valence bond formalism and $s {p}^{3}$ hybridization for the water mole... | 2020-02-21T10:25:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 9, "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://research.omicsgroup.org/index.php/Algebra_of_sets | # Algebra of sets
The algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these op... | 2019-02-19T19:53:54 | {"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/4226600/how-would-you-express-in-zfc-that-the-number-of-countable-models-of-th-mathb | # How would you express, in ZFC, that the number of countable models of Th($\mathbb{N}$), up to isomorphism, is at most $2^{\aleph_0}$?
Intuitively, it is clear to me why, up to isomorphism, there are at most $$2^{\aleph_0}$$ non-isomorphic models of Th($$\mathbb{N}$$): I can choose as "representative" of any countabl... | 2022-01-18T05:27:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3018394/linear-isometric-embedding-from-mathbbr2-2-to-l1-1 | # linear isometric embedding from $(\mathbb{R}^2, \| \|_2)$ to $(l^1, \| \|_1)$
I would like to prove the following :
There isn't a linear isometric embedding from $$(\mathbb{R}^2, \| \cdot \|_2)$$ to $$(l^1, \| \cdot \|_1)$$
I don't know how to prove this. So far I am able to prove this result only in the case wher... | 2021-04-15T22:42:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://elsenaju.eu/Arithmetic/parallelogram.htm | # Interactive Parallelogram
x-min= x-max=
y-min= y-max=
A =
B =
C =
## Interactive parallelogram
Move the points in the grafic or define the point coordinates in the numeric field.
### Properties of the parallelogram
The opposite sides are equal. The opposite sides are parallel. The diagonals halve each other. Opp... | 2019-03-22T18:51:07 | {"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.hepdata.net/record/ins792818 | • Browse all
Measurement of $\sigma(p\bar{p} \to Z + X)$ Br($Z \to \tau^+ \tau^-$) at $\sqrt{s}$ = 1.96-TeV
The collaboration
Phys.Lett. B670 (2009) 292-299, 2009
Abstract (data abstract)
Fermilab-Tevatron. Measurement of the cross section for Z0 production times its branching ratio into tau lepton pairs in PBAR P in... | 2019-03-25T05:28:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/192238/identities-related-normal-unitary-vector-normal-tangent-vector-and-curvature | # Identities related normal unitary vector, normal tangent vector and curvature.
i need help with this homework, about vector calculus.
Given a soft parametrized curve $r(t)$, we got that $T(t)=\frac {r´(t)}{\|r´(t)\|}$, the curvature is $\kappa(t)=\|\frac {dT}{ds}\|$=$\frac {\|T´(t)\|}{\|r´(t)\|}$=$\frac {\|r´(t)\ti... | 2014-07-13T06:04:57 | {"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... |
http://quant.stackexchange.com/questions?pagesize=15&sort=active | # All Questions
2 views
234 views
### Pricing options under restricted domain
How would I price an option when the underlying security is unable to trade above a certain price? I assumed this would be as simple as restricting the limits of integration of the PDF to B (the ...
68 views
### Relationship between Beta... | 2014-10-25T12:13:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://demo7.dspace.org/items/5a9c5193-6313-4907-b748-c086423fbce4 | ## Existence of new inequalities for representable polymatroids
Chan, Terence
Grant, Alex
Kern, Doris
##### Description
An Ingletonian polymatroid satisfies, in addition to the polymatroid axioms, the inequalities of Ingleton (Combin. Math. Appln., 1971). These inequalities are required for a polymatroid to be represe... | 2022-11-30T17:51:52 | {"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://nrich.maths.org/10124/solution?nomenu=1 | If $n$ is a positive integer then the units digit of $66^{n}$ is $6$. So when a power of $66$ is divided by $2$, the units digit of the quotient is either $3$ or $8$. Now $66^{66}$ is clearly a multiple of $4$, so $\frac{1}{2}\left(66^{66}\right)$ is even and therefore has units digit $8$ rather than $3$. | 2017-03-24T20:15:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.maplesoft.com/support/help/MapleSim/view.aspx?path=DrivelineComponentLibrary/simpsonGearbox | Home : Support : Online Help : MapleSim Toolboxes : MapleSim Driveline Component Library : Compound Gear Sets : Gear Sets : DrivelineComponentLibrary/simpsonGearbox
Simpson Gear
The Simpson Gear component is composed of two planetary gear sets (rear and front). The rear and front Sun gears rotate together. The front ... | 2016-07-29T02:09:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 171, "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://mathhelpforum.com/algebra/26065-recursive-formula.html | # Math Help - recursive formula
1. ## recursive formula
Hiya I need give a recursive formula for the numbers 1,3,6,10,15,21,34
I found an+1=an+2n+1
Is this right?, and if it isnt what did i do wrong
I also need to give a formula for n in the number series but that excapes me, any ideas or clues would be helpful, T... | 2015-08-29T10:19:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/classical-charged-particle-backward-in-time-feynman-stueckelberg-interpretation.624803/ | # Classical Charged Particle backward in time/Feynman Stueckelberg interpretation
Hello Friends,
I was trying to illustrate intuitively (rather than rigorously) the equivalence of negative energy solutions moving backward in time to be equal to a particle of opposite sign a la Feynman. I begin with a quote from the m... | 2021-01-25T21:37:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://forge.ipsl.jussieu.fr/nemo/changeset/11445 | # Changeset 11445
Ignore:
Timestamp:
2019-08-19T09:18:20+02:00 (8 months ago)
Message:
#2216 revision of LBC chapter: main ones in bdy description and geometry
File:
1 edited
### Legend:
Unmodified
r11435 \end{description} Note that when the bottom topography is entirely represented by the $s$-coor-dinates (pure ... | 2020-04-05T04:48:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nerdytales.blogspot.com/2004/11/ | ## Tuesday, November 30, 2004
### Free Credit Check--Really
Finally, there is an annual free credit check that doesn't involve signing up for a service temporarily or something. Lucky to be in the west this time since we are first on the list to get the service.
Go to http:///www.annualcreditreport.com it doesn't li... | 2017-10-23T09:52:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/intro-to-integrals.315991/ | # Intro. to Integrals
1. May 24, 2009
### wajed
Im reading on Integrals, and at the introductions author mentions three basic concepts, The Rectangle Property, The Addition Property, and The Comparison Property.
I understand what the 1st and 3rd properties mean, and I have a question concerning the 2nd.
"The Aditt... | 2017-10-19T14:58:29 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.boundaryvalueproblems.com/content/2012/1/79 | Research
# Existence and multiplicity of solutions for nonlocal p ( x ) -Laplacian problems in R N
Erlin Guo* and Peihao Zhao
Author Affiliations
School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P.R. China
For all author emails, please log on.
Boundary Value Problems 2012, 2012:79 doi:1... | 2015-03-05T00:15:11 | {"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://physics.stackexchange.com/tags/friction/new | Tag Info
3
Another application is the frictional force spectroscopy in the stick slip mode. There you use an AFM (atomic force microscope) and you move it laterally over the surface (Actually I think you move the sample, but it doesn't matter). You are performing this so slowly that the cantileaver sticks and slips. ... | 2013-05-24T13:57:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/186478/how-many-identical-pairs-in-a-random-draw | How many identical pairs in a random draw?
I have an infinite stream of good random numbers available to me that range 0 - 255. I draw them in pairs. In how many pairs will both numbers be equal?
I think that this is a form of Birthday Problem, but I can't do the math. Empirically, it's about 3% for me. It would be u... | 2019-06-24T18:07:02 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=19&t=6500&p=16308 | ## Using the Equation for Subatomic Particles
$\Delta p \Delta x\geq \frac{h}{4\pi }$
Alex Nguyen 3I
Posts: 100
Joined: Fri Sep 25, 2015 3:00 am
### Using the Equation for Subatomic Particles
Logically it would make sense that the uncertainty in the position of a proton would be higher than the uncertainty in the p... | 2021-03-06T02:51:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/470986/hamiltonian-with-one-constant-of-motion-besides-the-hamiltonian-itself | # Hamiltonian with one constant of motion (besides the Hamiltonian itself)
The background of my question is a well known fact: a Hamiltonian system with $$n$$ degrees of freedom with $$n$$ constants of motion is integrable.
My question is about the case in which there are only two constants of motion, one being the H... | 2021-12-04T09:03:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/896150/alternative-way-to-solve-this-limit | # Alternative way to solve this limit?
The solution to this limit should be 3. I know that it can be solved by using the squeeze theorem, by coming up with two other sequences whose limit is 3, but I would prefer some other method if possible as I'm not comfortable with this one. Is there any other way to solve it?
$... | 2020-12-04T06:09:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.degruyter.com/view/j/htmp.2017.36.issue-6/htmp-2015-0228/htmp-2015-0228.xml?format=INT | Show Summary Details
More options …
# High Temperature Materials and Processes
Editor-in-Chief: Fukuyama, Hiroyuki
Editorial Board: Waseda, Yoshio / Fecht, Hans-Jörg / Reddy, Ramana G. / Manna, Indranil / Nakajima, Hideo / Nakamura, Takashi / Okabe, Toru / Ostrovski, Oleg / Pericleous, Koulis / Seetharaman, Seshadri... | 2019-11-13T14:14:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 59, "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/275384/problem-about-narrow-sense-bch-code | # Problem about narrow sense BCH-Code
I have an homework to do and i have no idea where to start. The question is:
"Show that a narrow-sense binary BCH-code of length $n=2^m-1$ and designed distance $2t+1$ has minimum distance $2t+1$, provided that $$\sum_{i=0}^{t+1}\binom{2^{m}-1}{i}>2^{mt}$$"
-
Any suggestion is a... | 2016-05-05T14:59:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/186880/confusion-in-orientation-of-curve-in-complex-plane | # confusion in orientation of curve in complex plane
In a book I see the following
" The concept of the winding number s usefull to characterize what is meant by the inside(interior) and the outside(exterior) of a closed curve $\gamma$, respectively, in the following way $$Int(\gamma)=\{z\notin\gamma:n(\gamma;z)\neq ... | 2015-07-07T17:50:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/differential-equations-ivp.257387/ | # Differential Equations IVP
1. Sep 18, 2008
### dm59
Use the variable change u = ln(y) to solve the IVP dy/dt = -y ln(y), y(1) = 2?
We haven't covered this in class yet so I do not know where to even start.
2. Sep 18, 2008
### gabbagabbahey
Well, you're given $$u(t)=ln(y(t))$$, so why not calculate $$y(t)$$ in ... | 2017-06-26T19:26:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/maths-help.62736/ | # Maths help!
1. Feb 5, 2005
### footprints
How do you change this $$A = 720 \pi - \frac{4}{3} \pi r^3 + 3 \pi r^2$$ into $$A = 5 \pi (\frac{144}{r} + \frac{r^2}{3})$$?
2. Feb 5, 2005
### Galileo
Uuhm. You don't?
3. Feb 5, 2005
### The Bob
$$A = 720 \pi - \frac{4}{3} \pi r^3 + 3 \pi r^2$$
$$A = \pi (720 - \fr... | 2017-07-25T10:53:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://redding.dev/modern-portfolio-theory/ | #economics
# Modern Portfolio Theory
## The One-Investment Model
Suppose you have utility function
$$u = -x^{-\epsilon}$$
where $x$ is your net worth, and $\epsilon$ is a parameter characterizing your risk intolerance. Now suppose you have an investment that yields a random, lognormal return:
$$e^R$$
where $R$ i... | 2021-01-17T18:30:06 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/209134/second-order-divided-differenc/210379 | # second-order divided differenc
Let's have the periodic function
$f(t_0)=−5$
$f(t_1)=−10$
$f(t_2)=−5$
where $t_0$, $t_1$ and $t_2$ are equally spaced. All I need to know is the sign of the sum
$\sum\limits_{i=0}^{i=2} {f(t_i)f′(t_i)}$
Obviously, however, the above function is not differentiable and therefore $f... | 2014-03-10T04:43:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.graduate.technion.ac.il/Theses/Abstracts.asp?Id=28293 | Ph.D Thesis
Ph.D Student Adi Wolf Galois Descent and Forms of Path Algebras Department of Mathematics Full Professor Aljadeff Eli
Abstract
For a Galois extension K/k we consider the question of classifying the K/k-forms of a finite dimensional path algebra A=kΓ, i.e., find up to k-isomorphism all the k-algebras B suc... | 2019-02-21T00:00:55 | {"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://web2.0calc.com/questions/help_12203 | +0
# help
0
151
1
Let $$a,b,c$$ be the sides of a triangle. Find the set of all possible values of $$\frac{a}{b + c} + \frac{b}{a + c} + \frac{c}{a + b}.$$
Mar 8, 2019
edited by Guest Mar 8, 2019
$$\text{The expression seems to vary from }\dfrac 3 2\\ \text{which corresponds to an equilateral triangle to }2\\ \te... | 2019-12-09T23:48:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Field_Product_with_Non-Zero_Element_yields_Unique_Solution | # Field Product with Non-Zero Element yields Unique Solution
## Theorem
Let $\struct {F, +, \times}$ be a field whose zero is $0_F$ and whose unity is $1_F$.
Let $a, b, x \in F$ such that $b \ne 0_F$.
Let:
$b \times x = a$
Then:
$x = a b^{-1}$
That is:
$x = \dfrac a b$
where $\dfrac a b$ denotes division.
##... | 2021-08-01T19:41:07 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathsimulationtechnology.wordpress.com/the-secret-agenda/ | The Secret Agenda
• Everyone has a hidden agenda. Except me! (Michael Crichton)
• Later mathematicians will regard set theory as a disease from which one has recovered. (Henri Poincare)
Here is a document describing a secret agenda that will lead to resolving the mystery of the Navier-Stokes equations and thus the my... | 2017-08-21T02:51:29 | {"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": 0, "img_math": 62, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://iwaponline.com/view-large/3075739 | The interlayer pore width of the osmotic swelling is calculated from a regression curve (Equations (11) and (12)) in Figure 2 plotting the relation between the effective montmorillonite density and basal spacing. The basal spacing of the mixed state of the osmotic and crystalline swelling was at 700 kg/m3ρem < 1,000 kg... | 2023-02-05T16:38:33 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathoverflow.net/questions/288259/how-to-show-that-the-following-function-isnt-a-polynomial-over-q/288275 | # How to show that the following function isn't a polynomial over Q?
Enumerate the rationals as $b_1,b_2,\dots$ and define the (set) function: $$f(x) = (x-b_1)^2 + (x-b_1)^2(x-b_2)^2 + \dots.$$ At any particular $x$, only finitely many terms are non zero so this is perfectly well defined as a (set) function but surely... | 2021-10-28T17:03:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-2-section-2-8-modeling-using-variation-exercise-set-page-425/46 | # Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 425: 46
See explanation.
#### Work Step by Step
Given the relation $z=kx^2\sqrt y$, we can say that $z$ is proportional jointly with the square of $x$ and the square root of $y$.
After you claim an answer you’ll have 24 hours to send in a dr... | 2021-06-13T16:30:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/statistical-geometry.81287/ | # Statistical Geometry
1. Jul 5, 2005
### BicycleTree
You have two tools:
1. A straight edge
2. The ability to judge any distance to within 20%, or any angle to within 20 degrees.
What can you construct with these tools, with an unlimited? In particular, is there a method for constructing an approximate circle that... | 2018-09-23T14:33:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rdrr.io/cran/brainGraph/man/centr_betw_comm.html | # centr_betw_comm: Calculate communicability betweenness centrality In brainGraph: Graph Theory Analysis of Brain MRI Data
## Description
centr_betw_comm calculates the communicability betweenness of the vertices of a graph. The centrality for vertex r is
ω_r = \frac{1}{C} ∑_p ∑_q \frac{(e^{\mathbf{A}})_{pq} - (e^{\... | 2022-06-27T17:50:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3002325/proof-t-is-irrational-t-a-bs-given-a-and-b-are-rational-numbers-b-neq-0-a | Proof t is irrational t = a-bs ,Given a and b are rational numbers, b $\neq 0$ and s is irrational.
Proof $$t$$ is irrational $$t = a-bs$$ , Given $$a$$ and $$b$$ are rational numbers, $$b \neq 0$$ and $$s$$ is irrational. Hence show that $$(\sqrt3-1)/(\sqrt3+1)$$ is irrational
• Can you simplify $(\sqrt3-1)/(\sqrt3+... | 2019-07-23T05:06:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stacks.math.columbia.edu/tag/06VM | Lemma 46.5.8. Let $S$ be a scheme. Let $\mathcal{F}$ be an adequate $\mathcal{O}$-module on $(\mathit{Sch}/S)_\tau$.
1. The restriction $\mathcal{F}|_{S_{Zar}}$ is a quasi-coherent $\mathcal{O}_ S$-module on the scheme $S$.
2. The restriction $\mathcal{F}|_{S_{\acute{e}tale}}$ is the quasi-coherent module associated ... | 2022-11-27T05:25:54 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.komal.hu/verseny/feladat.cgi?a=feladat&f=A436&l=en | Magyar Information Contest Journal Articles
# Problem A. 436. (October 2007)
A. 436. Prove that
for every positive integer n.
(5 pont)
Deadline expired on 15 November 2007.
Solution. Let and . Then , since is irrational.
Write
The numerator is an integer which is not 0. In the denominator we have
and
therefor... | 2017-12-15T14:04:35 | {"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/42904/linear-programming-cost-function?answertab=votes | # Linear Programming Cost Function [closed]
I need to add the following to my LP problem:
If the amount of workers hired in period $t$ ($H_t$) is higher than 25, the hiring cost is only 1 instead of 1.2.
Example: if 30 workers are hired in period $t$, the hiring cost is equal to $25\times1.2+5\times1=35$.
Example 2... | 2015-04-02T10:08:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/discrete-math/195298-relation-between-asymptotes-big-oh-notation.html | Thread: relation between asymptotes and big oh notation
1. relation between asymptotes and big oh notation
What does big oh notation have to do with asymptotes?
2. Re: relation between asymptotes and big oh notation
Originally Posted by Jskid
What does big oh notation have to do with asymptotes?
If g(x) is an asymp... | 2018-04-22T22:30:53 | {"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://www.nextgurukul.in/wiki/concept/cbse/class-11/maths/statistics/shortcut-method-to-find-variance-and-standard-deviation/3961151 | Notes On Shortcut Method To Find Variance and Standard Deviation - CBSE Class 11 Maths
Variance of a discrete frequency distribution: Observation (xi) x1 x2 x3 ... xn Frequency (fi) f1 f2 f3 ... fn σ2 = $\sqrt{\frac{\sum _{\mathrm{\text{i = 1}}}^{\text{n}}\text{}{\text{f}}_{\text{i}}\mathrm{\text{... | 2020-10-21T01:25:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 50, "mathjax_tag": 2, "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/35603/confused-about-linear-programming-exercise-solution-in-my-textbook | # Confused about linear programming exercise solution in my textbook
please see this simple linear programming exercise and its solution from my textbook. The task is to convert the prose and matrix to a formal linear programming problem.
My answer matched theirs except I got different constraints:
$2.5x_A + 3x_B + ... | 2013-12-10T07:42:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/cosmology-question-that-i-really-dont-have-a-clue-on.283001/ | # Cosmology Question that I really don't have a clue on.
1. Jan 5, 2009
1. The problem statement, all variables and given/known data
a) Using the Robertson-Walker metric, write down an expression for the proper distance in terms of the coordinate r. For objects moving with the expansion of the universe, show that the... | 2018-02-18T09:31:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://movingtime.com/designer-cushions-xcbfs/2ac501-what-is-polynomial-in-maths | Examples of polynomials: 2a + 5b is a polynomial of two terms in two variables a and b. The finite field with p n elements is denoted GF(p n) and is also called the Galois field, in honor of the founder of finite field theory, Évariste Galois.GF(p), where p is a prime number, is simply the ring of integers modulo p.Tha... | 2021-05-17T21:55:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://richmorrison.net/?p=749 | ## Kepler’s Laws Of Planetary Motion
Johanes Kepler
Johannes Kepler analysed the astronomical observations of Tycho Brahe. Tycho is remembered as being the most skilled observational astronomers of his time, but never
managed to describe his results mathematically. Kepler was a highly skilled mathematician, and it i... | 2013-05-20T15:15:37 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/unproven-claim-in-weinbergs-textbook.709637/ | # Unproven claim in Weinberg's textbook
1. Sep 10, 2013
### dEdt
In his Lectures on Quantum Mechanics, Weinberg makes the following claim about solutions to the Schrodinger equation for a central potential: Suppose $\psi(\mathbf{x},t)$ is an eigenfunction of $H$, $\mathbf{L}^2$, and $L_z$. According to Weinberg, "si... | 2018-05-26T14:33:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://worldbuilding.stackexchange.com/questions/39012/repulsive-black-holes | # Repulsive black holes [closed]
Assume that somehow negative mass could exist. Each "normal" particle that we know of has a negative mass equivalent but with all other properties the same (including charges). As a result, negative photons exist as well as negative energies and forces. Unless another force cancels it ... | 2019-07-20T03:56:15 | {"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... |
http://mathhelpforum.com/advanced-algebra/78080-homomorphism-proof.html | # Math Help - Homomorphism proof
1. ## Homomorphism proof
If $f:G \rightarrow H$ and $x \in G$ has order k, prove that $f(x) \in H$ has order m, where m|k.
Also, if gcd(|G|,|H|)=1, then $f(x)=1$ for all $x \in G$
2. Hi
You know that $f$ is a group homomorphism, and that $x$ has order $k.$ Let's use this:
$f(e_G)=f... | 2014-04-16T11:41:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 29, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://datacadamia.com/linear_algebra/basis_find | # Linear Algebra - Find a basis computation problem
Find a basis for a vector space
## 3 - Finding
### 3.1 - a Basis
#### 3.1.1 - for a null space using
##### 3.1.1.1 - Orthogonal complement
Example:
Find a basis for the null space of $A = \begin{bmatrix} \begin{array}{rrrr} 1 & 0 & 2 & 4 \\ 0 & 5 & 1 & 2 \\ 0 &... | 2021-06-16T14:57:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tjyj.stats.gov.cn/CN/10.19343/j.cnki.11-1302/c.2017.05.010 | • 论文 •
### 分位数单位根检验的拓展及其应用研究
• 出版日期:2017-05-15 发布日期:2017-05-16
### The Extension of Quantile Unit Root Test with Its Application
Si Dengkuiet al.
• Online:2017-05-15 Published:2017-05-16
Abstract: Capturing structural changes in the time series under different quantiles is of great significance to accurately iden... | 2022-08-17T07:41:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://probnum.readthedocs.io/en/latest/tutorials/filtsmooth/continuous_nonlinear_gaussian_filtering_smoothing.html | # Non-linear Gaussian filtering and smoothing (continuous-discrete)¶
Provided is an example of a nonlinear state-space model on which one can perform Bayesian filtering and smoothing in order to obtain a posterior distribution over a latent state trajectory based on noisy observations. In order to understand the theor... | 2023-02-01T12:45:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/102925-t-invariant-print.html | T-invariant
• September 17th 2009, 10:18 PM
Last_Singularity
T-invariant
Question: Let $W$ be a subspace of vector space $V$ and that $T: V \rightarrow V$ is linear. Prove that subspaces $\{0\},V,R(T),N(T)$ are all T-invariant.
I feel that the trick is really simple but I just cannot grasp it. Any pointers would be a... | 2015-05-04T20:38:02 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 18, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://med.libretexts.org/Bookshelves/Anatomy_and_Physiology/Book%3A_Acid-base_Physiology_(Brandis)/05%3A_Acid-Base_Disorders/5.04%3A_The_Urinary_Anion_Gap | # 5.4: The Urinary Anion Gap
## 3.4.1: Definition
The cations normally present in urine are Na+, K+, NH4+, Ca2+ and Mg2+. The anions normally present are Cl-, HCO3-, sulfate, phosphate and some organic anions. Only Na+, K+ and Cl- are commonly measured in urine so the other charged species are the unmeasured anions (... | 2020-12-02T15:52:57 | {"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://physics.aps.org/articles/v14/s34 | Synopsis
# Measuring Higher Dimensional “Qudits” for Computation
Physics 14, s34
With a technique called self-guided tomography, researchers accurately measure the states of qudits—quantum systems like qubits but with more than two dimensions.
In classical computing, a bit (binary digit) has two dimensions by defini... | 2021-09-16T15:27:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "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/electromagnetic-field.348570/ | # Electromagnetic field
1. Oct 24, 2009
### qoqosz
1. The problem statement, all variables and given/known data
We are given monochromatic point source of EM radiation which power is P=100W. The task is to compute E(r) and B(r). We can assume that r is large enough to treat wave as a plane wave.
2. Relevant equatio... | 2017-08-16T20:05:37 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://api-project-1022638073839.appspot.com/questions/what-is-the-derivative-of-sqrt-x-2-2 | # What is the derivative of sqrt(x - 2)?
Jun 24, 2016
${f}^{'} = \frac{\sqrt{x - 2}}{2 x - 4}$
#### Explanation:
I prefer to use a particular notation.
Let $u = x - 2 \text{ }$ Then $\text{ } \frac{\mathrm{du}}{\mathrm{dx}} = 1$
Let $\text{ "y=sqrt(x-2)" "=" "sqrt(u)" "=" } {u}^{\frac{1}{2}}$
$\frac{\mathrm{dy}}... | 2021-04-13T19:42:38 | {"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.numdam.org/articles/10.1051/m2an:2003021/ | Semi-smooth Newton methods for variational inequalities of the first kind
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 1, pp. 41-62.
Semi-smooth Newton methods are analyzed for a class of variational inequalities in infinite dimensions. It ... | 2022-11-27T08:34:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "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/very-easy-3/ | Very easy???
Algebra Level 3
Let $$a, b, c \geq 0$$ such that $a+b+c = 3$. Find the minimum of $\frac{a^3}{b+2} + \frac{b^3}{c+2} + \frac{c^3}{a+2} - a^2 - b^2 - c^2$
× | 2017-01-17T07:08:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://talkstats.com/tags/mixed-regression/ | # mixed regression
1. ### Logistic regression or something else?
I have a dependent binary outcome and 6 independent variables. These are measured in the same group of people at two moments in time in a descriptive longitudinal study. I am assessing whether these independent variables increase the likelihood of achie... | 2022-01-23T03:42:16 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.hepdata.net/record/63982 | Measurement of $\Upsilon$ production in $pp$ collisions at $\sqrt{s}=2.76$ TeV
Eur.Phys.J. C74 (2014) 2835, 2014.
The collaboration
Abstract (data abstract)
CERN-LHC. The production of Upsilon(1S), Upsilon(2S) and Upsilon(3S) mesons decaying into the dimuon final state is studied with the LHCb detector using a data sa... | 2020-08-07T08:54:50 | {"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... |
http://en.wikipedia.org/wiki/Unsolved_problems_in_mathematics | # List of unsolved problems in mathematics
(Redirected from Unsolved problems in mathematics)
Since the Renaissance, every century has seen the solution of more mathematical problems that the century before, and yet many mathematical problems, both major and minor, still elude solution.[1] Most graduate students, in ... | 2015-04-25T11:45:52 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 18, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.