url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://www.123calculus.com/en/refraction-law-page-8-40-300.html | # Law of Refraction
n_2*sin(theta_2) = n_1*sin(theta_1)
Calculator of the law of refraction also known as Snell's law.
Enter 'x' in the field to be calculated.
This tool is a calculator of the law of refraction (Snell's law) :
n_2*sin(theta_2) = n_1*sin(theta_1)
n1 : Medium 1 refractive index (incident ray)
n2 : Me... | 2023-01-27T08:57:41 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.kristakingmath.com/blog/tag/fundamentals | Posts tagged fundamentals
Quotient rule for exponents to simplify fractions
This is the rule we use when we’re dividing one exponential expression by another exponential expression. The quotient rule tells us that we have to subtract the exponent in the denominator from the exponent in the numerator, but the bases hav... | 2019-07-20T22:44:42 | {"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://labs.tib.eu/arxiv/?author=M.%20Hodana | • ### Neutron-Proton Scattering in the Context of the $d^*$(2380) Resonance(1408.4928)
Aug. 21, 2014 hep-ex, nucl-ex
New data on quasifree polarized neutron-proton scattering, in the region of the recently observed $d^*$ resonance structure, have been obtained by exclusive and kinematically complete high-statistics me... | 2020-12-04T00:03:29 | {"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... |
https://or.stackexchange.com/questions/4309/pyomo-add-constraint-error-rule-failed-when-generation-expression-for-constrain | # Pyomo add constraint error: Rule failed when generation expression for constraint
I am trying to solve a model with Pyomo and struggling with indexing. Below is a simple problem instance, where you can also see the error. The message is straightforward and self-explanatory but failed to resolve the issue. It stems f... | 2021-06-19T19:44:40 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.acmicpc.net/problem/3563 | 시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
3 초 128 MB 5 3 3 75.000%
## 문제
There are n ≥ 2 people labeled as 1, 2, … , n such that each of them is either a truth-teller or a liar, and the number of liars is less than or equal to t for some t (≤ n).
Each person i can test another person j in order to identify person j as truth-te... | 2017-09-22T08:21:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Definition:Juggler_Sequence | # Definition:Juggler Sequence
## Theorem
Let $m \in \Z_{\ge 0}$ be a positive integer.
The juggler sequence on $m$ is defined recursively as:
$J_m \left({n}\right) = \begin{cases} m & : n = 0 \\ \left\lfloor{\sqrt {J_m \left({n - 1}\right)} }\right\rfloor & : n \text{ even} \\ \left\lfloor{\sqrt {\left({J_m \left({... | 2019-09-19T23:38:37 | {"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... |
http://t-news.cn/Floc2018/FLoC2018-pages/paper2466.html | FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
Critical pairs for Gray categories
Author: Simon Forest
Paper Information
Title:Critical pairs for Gray categories
Authors:Simon Forest
Proceedings:IWC Final papers
Editors: Jakob Grue Simonsen and Bertram Felgenhauer
Keywords:Gray categories, rewriting, higher categories, ... | 2021-10-27T07:13:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://groupprops.subwiki.org/wiki/Proving_intersection-closedness | # Proving intersection-closedness
This is a survey article related to:subgroup metaproperty satisfaction
View other survey articles about subgroup metaproperty satisfaction
A subgroup property $p$ is termed an intersection-closed subgroup property if an arbitrary (nonempty) intersection of subgroups having property $... | 2020-09-28T12:21:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 88, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/how-do-you-find-the-greatest-common-factor-of-20-2-and-4 | # How do you find the greatest common factor of 20, 2, and 4?
The factors of 20 are $20 , 10 , 5 , 4 , 2 , 1$. | 2019-06-26T17:01:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 1, "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://quantumcomputing.stackexchange.com/questions/13196/reduced-density-matrix-equation-of-motion-to-describe-an-ellipse | # Reduced Density Matrix Equation of Motion to describe an Ellipse
Given a pure two qubit state $$|\psi_{AB}\rangle$$. If we trace out system $$B$$, the remaining density matrix $$\rho_A = Tr_B|\psi_{AB}\rangle\langle\psi_{AB}|$$, can be represented as a point lying anywhere on or inside a Blochsphere.
When you're on... | 2021-01-24T00:17:08 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://oklo.org/2007/12/24/transit-valuations/ | Home > detection > transit valuations
## transit valuations
December 24th, 2007
Image Source
Discoveries relating to transiting extrasolar planets often make the news. This is in keeping both with the wide public interest in extrasolar planets, as well as the effectiveness of the media-relations arms of the agencie... | 2017-01-21T02:08:32 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/19103/how-to-statistically-compare-two-time-series | # How to statistically compare two time series?
I have two time series, shown in the plot below:
The plot is showing the full detail of both time series, but I can easily reduce it to just the coincident observations if needed.
My question is: What statistical methods can I use to assess the differences between the ... | 2020-08-14T17:58:08 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/329302/how-to-convert-from-power-signal-received-by-antenna-to-voltage-signal | # How to convert from power signal received by Antenna to voltage signal?
I am considering wireless transmission. Let us define a cosine signal with frequency 2.4 GHz, i.e. $$s(t) = A\cos(2\pi ft),$$ where $$f=2.4\times10^9.$$
Let us assume that when TX transmits the signal s(t) of power 50 W, RX receives the signal ... | 2020-06-05T13:55:15 | {"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://nrich.maths.org/2756/index | ##### Age 11 to 18
Published May 2005,March 2007,February 2011.
Infinity is not a number, and trying to treat it as one tends to be a pretty bad idea. At best you're likely to come away with a headache, at worst with the firm belief that 1 = 0.
You may have met various ''paradoxes'' that play on this fact (and our i... | 2019-10-19T18:21:24 | {"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... |
http://mathhelpforum.com/calculus/215264-nth-term-geometric-series-print.html | # Nth term in a geometric series
• March 21st 2013, 11:37 PM
bikerboy2442
Nth term in a geometric series
Attachment 27637So for this I have calculated what I believe to be the correct few terms of Q and P Q0=75, Q1=84, Q2=94.08. Always increasing by 12% of what the previous function was. I can't understand why my form... | 2014-11-28T01:30:22 | {"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": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41586-018-0861-0?error=cookies_not_supported&code=90eb4b0e-6475-4dcb-a8a8-f09007bee42b | Letter | Published:
# Real-time vibrations of a carbon nanotube
## Abstract
The field of miniature mechanical oscillators is rapidly evolving, with emerging applications including signal processing, biological detection1 and fundamental tests of quantum mechanics2. As the dimensions of a mechanical oscillator shrink... | 2019-02-21T10:44:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/tags/statistics/new | # Tag Info
## New answers tagged statistics
0
Your sum is not correct. Your $E[S]$ includes the $\frac14$ component applied recursively, which doesn't make sense. EDIT: David's answer (which appeared during this one) is correct. I'll address your second question instead. The $E[Y]$ for the four numbers which end the... | 2014-07-30T01:03:43 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://indico.sissa.it/event/6/timetable/?view=standard | MHPC Workshop on High Performance Computing
Europe/Rome
SISSA, International School for Advanced Studies
SISSA, International School for Advanced Studies
Via Bonomea 265, 34136 Trieste, Italy
, , , ,
Description
The Master in High Performance Computing (MHPC) program is organizing its first workshop to highlight th... | 2021-09-21T02:48:53 | {"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... |
http://mathhelpforum.com/calculus/127770-volume-solid-hemisphere.html | # Math Help - volume of solid hemisphere
1. ## volume of solid hemisphere
Estimate the volume of a solid hemisphere of radius 3, imagining the axis of symmetry to be the x-axis. Partition the interval [0,3] into six subintervals of equal length and approximate the solid with cylinders based on the circular cross sect... | 2015-07-31T22:17:26 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/251539/properties-of-the-white-noise-process/251730 | # Properties of the white noise process
The stochastic process $\{u_t\}$ is a white noise process if and only if
1. $Eu_t=0$ for all integers $t$; and
2. $E(u_t u_{t+k})=\sigma^2\textbf{1}\{k=0\}$ for all integers $t$ and $k$, where $\sigma>0$ and $\textbf{1}\{k=0\}$ is equal to $1$ if and only if $k=0$, and equal to... | 2022-10-06T19:38:59 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1915999/integrating-a-l2-function-in-two-variables/1919696 | # Integrating a $L^{2}$ function in two variables
Consider for $T\in\mathbb{R}_{>0}$ the mapping $$G:\begin{cases} L^{2}((0,T)\times(0,1);\mathbb{R})&\rightarrow X\\ f&\mapsto \int_{0}^{t} f(s,h(s,t,x))\;\mathrm{d} s \end{cases}$$ for a given function $h:[0,T]\times[0,T]\times [0,1]\rightarrow [0,1]$ as smooth as you ... | 2021-09-19T06:59:54 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.cuemath.com/probability-a-given-b-formula/ | P(A/B) Formula
P(A/B) is known as conditional probability and it means the probability of event A that depends on another event B. It is also known as "the probability of A given B".
P(A/B) Formula is used to find this conditional probability quickly.
What is P(A/B) Formula?
The conditional probability P(A/B) or P(... | 2021-05-12T14:19:02 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://developmentalsystem.wordpress.com/2019/12/09/methods/ | # methods
Method 1
Consider N currently identified alleles associated with the trait. Assume there are P alleles associated with the trait across the entire genome.
If the PGS difference computed from those N alleles is $PGS_N$, then the extrapolated difference is $PGS_N \cdot \frac{P}{N}$
Benefits:
• Simple to do... | 2020-05-30T08:33:05 | {"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": 0, "img_math": 17, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mail.oceanopticsbook.info/view/light-and-radiometry/the-nature-of-light | Page updated: July 7, 2022
Author: Curtis Mobley
View PDF
# The Nature of Light
Writing this page is a no-win effort. No matter what I say about the “nature of light” or the question “What is a photon?”, there will be those who tell me (quite correctly!) that I am wrong. However, the question “What is light?” is perfe... | 2022-11-30T23:25:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 30, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://en.wikipedia.org/wiki/600-cell | 600-cell
600-cell
Schlegel diagram, vertex-centered
(vertices and edges)
TypeConvex regular 4-polytope
Schläfli symbol{3,3,5}
Coxeter diagram
Cells600 (3.3.3)
Faces1200 {3}
Edges720
Vertices120
Vertex figure
icosahedron
Petrie polygon30-gon
Coxeter groupH4, [3,3,5], order 14400
Dual120-cell
Propertiesconvex, isogonal,... | 2021-08-04T14:17:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "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://dml.cz/handle/10338.dmlcz/118804 | # Article
Full entry | PDF (0.1 MB)
Keywords:
normal integrand; Carathéodory function
Summary:
Let $D\subset T\times X$, where $T$ is a measurable space, and $X$ a topological space. We study inclusions between three classes of extended real-valued functions on $D$ which are upper semicontinuous in $x$ and satisfy s... | 2017-12-14T19:07:22 | {"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://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_College_Mathematics_for_Everyday_Life_(Inigo_et_al)/04%3A_Growth |
# 4: Growth
Population growth is a current topic in the media today. The world population is growing by over 70 million people every year. Predicting populations in the future can have an impact on how countries plan to manage resources for more people. The tools needed to help make predictions about future populati... | 2022-05-24T05:52:56 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/explain-solve-the-matching-problem-in-the-simplest-terms.332341/ | # Explain/solve the Matching Problem in the simplest terms
1. Aug 24, 2009
### redphoton
Explain/solve the "Matching Problem" in the simplest terms
How would you explain and solve the "Matching Problem" to a HS math club? give the simplest explanation and solution you know.
Last edited: Aug 24, 2009
2. Aug 24, 200... | 2018-07-23T16:43:53 | {"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.matrix.edu.au/beginners-guide-year-9-maths/?cta=guide_HSSG_year_9_text | # The Beginner’s Guide to Year 9 Maths
Welcome to our Beginner's Guide to year 9 Maths. In this Guide, we'll show you the secrets to acing Maths.
## All about the Beginner’s Guide to Year 9 Maths
Year 9 is an important year for Maths students. The concepts and skills learned in Year 9 are the foundations for the ski... | 2020-09-23T15:46:53 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://farside.ph.utexas.edu/teaching/jk1/Electromagnetism/node32.html | Next: Axisymmetric Charge Distributions Up: Potential Theory Previous: Poisson's Equation in Spherical
# Multipole Expansion
Consider a bounded charge distribution that lies inside the sphere . It follows that in the region . According to the previous three equations, the electrostatic potential in the region takes t... | 2018-01-19T05:40:23 | {"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://sci-gems.math.bas.bg/jspui/handle/10525/1273 | Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1273
Title: Operational Calculi for the Euler Operator Authors: Dimovski, IvanSkórnik, Krystyna Keywords: Operational Calculus of Mikusiński and HeavisideEuler Differential OperatorDuhamel ConvolutionNonlocal Boundary Value Problems4... | 2017-01-16T15:06:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ck12.org/algebra/Zero-Product-Principle/lesson/Zero-Product-Principle-Intermediate/ | <meta http-equiv="refresh" content="1; url=/nojavascript/"> Zero Product Principle ( Read ) | Algebra | CK-12 Foundation
# Zero Product Principle
%
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Practice Zero Product Principle
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Zero Product Principle
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What if you had a polynomial equation like $3x^2 + 4x - 4 = 0$ ? How could you fac... | 2014-10-23T18:46:47 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://hugocisneros.com/notes/optimal_control/ | # Optimal control
tags
Applied maths
resources
Book by Daniel Liberzon
## Optimal control problem
An typical optimal control problem starts with a control system $\dot{x} = f(t, x, u), \quad x(t_0) = x_0$ where $$x$$ is the state of the system, $$t$$ represents time and $$u$$ is the control input.
The goal of an OC... | 2022-07-02T21:31:00 | {"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://labs.tib.eu/arxiv/?author=Mauro%20Giavalisco | • ### Demographics of Star-forming Galaxies since $z\sim2.5$. I. The $UVJ$ Diagram in CANDELS(1710.05489)
April 6, 2018 astro-ph.GA
This is the first in a series of papers examining the demographics of star-forming galaxies at $0.2<z<2.5$ in CANDELS. We study 9,100 galaxies from GOODS-S and UDS having published values... | 2021-03-08T22:16:11 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/rational-numbers.416925/ | # Rational Numbers
Are whole numbers rational numbers? If so, will any whole number divided by any other whole number result in a rational number?
Office_Shredder
Staff Emeritus
Gold Member
A rational number, by definition, is an integer divided by another integer (that's not equal to zero).
As for the integers them... | 2021-01-26T02:59:34 | {"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.mathwizurd.com/linalg/2018/11/12/rank | Mathwizurd.com is created by David Witten, a mathematics and computer science student at Vanderbilt University. For more information, see the "About" page.
Definition
The rank of a matrix is the number of non-zero rows in its RREF.
MathJax TeX Test Page $$\begin{bmatrix}1 & 2 & 5 & 10 \\ 3 & 4 & 8 & 10 \\ 3 & 4 & 8 ... | 2018-12-10T00:27:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/57510/reduction-of-3-sat-to-vertex-cover | # Reduction of 3-SAT to Vertex Cover?
Can someone explain to me in the simplest possible way, how to reduce $3SAT$ to $Vertex\:Cover$?
I am following the explanation here (scroll to the bottom of page 4). I understand the basic setup of having two "gadgets": the 2-node variable gadgets and 3-node clause gadgets.
I a... | 2019-08-23T15:49:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/464565/definition-of-the-integral-in-non-standard-calculus | # Definition of the integral in non-standard calculus
In the sources I've seen, the integral is defined in non-standard calculus as the hyperreal extension of a function related to Riemann sums. E.g.,
Let $$S(\Delta x) = \sum_{a}^{b}f(x)\Delta x$$ be a function of a Riemann sum where $\Delta x$ is the length of each ... | 2019-06-17T05:03:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.transtutors.com/questions/if-an-object-is-located-at-0-5-times-the-focal-length-of-a-thin-lens-calculate-the-l-3608846.htm | # If an object is located at 0.5 times the focal length of a thin lens, calculate the location and... 1 answer below »
If an object is located at 0.5 times the focal length of a thin lens, calculate the location and lateral magnification of the image. Assume that both sides of the lensare filled with air, that the ind... | 2019-09-16T14:12:49 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://en.cppreference.com/w/cpp/preprocessor/replace | Replacing text macros
C++
Compiler support Freestanding and hosted Language Standard library headers Named requirements Feature test macros (C++20) Language support library Concepts library (C++20) Diagnostics library General utilities library Strings library Containers library Iterators library Ranges library (C++20... | 2021-12-06T14:20:25 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ls.mathematicstip.com/7422-47-the-mean-value-theorem.html | 4.7: The Mean Value Theorem
The Mean Value Theorem is one of the most important theorems in calculus. First, let’s start with a special case of the Mean Value Theorem, called Rolle’s theorem.
Rolle’s Theorem
Informally, Rolle’s theorem states that if the outputs of a differentiable function (f) are equal at the endp... | 2021-12-06T16:45:08 | {"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://xmphysics.com/category/04-forces/ | Category: 04 Forces
# 4.6.1 Why must Three Forces Intersect at the Same Point?
A video explanation of the origin of this “rule”.
A visual “proof” of this rule.
The classic “ladder against wall” problem:
# 4.6 Static Equilibrium
Here is the “proof” for the summation of moments is constant regardless of pivot point... | 2021-11-28T22:57:54 | {"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": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1854873/showing-following-fourier-series-converges-to-sawtooth-function | # Showing Following Fourier series converges to sawtooth function
This question is originated from S/S Fourier Analysis Chapter 2 Exercise 8.
Problem says show sawtooth function$$f(x)= \begin{cases} -\frac{\pi}{2}-\frac{x}{2}, -\pi<x<0\\ \frac{\pi}{2}-\frac{x}{2}, 0<x<\pi\\ \end{cases}$$ has fourier series $$\frac{1}... | 2019-09-18T12:02:06 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.chapman.edu/~jipsen/structures/doku.php/unique_factorization_domains | ## Unique Factorization Domains
Abbreviation: UFDom
### Definition
A unique factorization domain is an integral domains $D$ such that
every element is a product of irreducibles: $\forall a\in D \exists p_1,...,p_r\in D, n_1,...,n_r\in \mathbb{N}$ such that $a=p_1^{n_1}\cdotp_2^{n_2}...p_r^{n_r}$ and $p_i$ is irredu... | 2017-09-23T03:50:21 | {"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://advances.sciencemag.org/highwire/markup/206597/expansion?width=1000&height=500&iframe=true&postprocessors=highwire_figures%2Chighwire_math%2Chighwire_embed | Table 2 Performance statistics for a family of feedforward networks set up as a simple sequence of fully connected layers of the same width as the input vector.
A schematic of the network topology is given in the top diagram of Fig. 3.
Task Network Mean relative error Relative error SD Iteration time*, Tesla K40 (s)... | 2021-01-21T08:18:33 | {"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://math.stackexchange.com/questions/2383023/index-of-a-subgroup | # Index of a subgroup
Let $G$ be a finite group and $H$ be a subgroup of $G$. Let $q$ be a fixed prime. Suppose that for every Sylow subgroup $P$ of $G$, the index of $H$ in $H^P$ is a power of $q$. What can we say about $|H^G:H|$?
1. $H^X=\langle x^{-1} Hx |x\in X\rangle$
2. I guess that $|H^G:H|$ is also a power o... | 2019-05-23T10:58:23 | {"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://codereview.stackexchange.com/questions/159417/anagram-substrings-in-a-string | # Anagram substrings in a string
I was trying to solve this questions:
Given an input string, find all combination of unique substrings, which are anagrams of each other and distinct from each other. The substrings must follow 2 <= length(substring) < len(original string).
Example 1:
• String: “vadapav”
• substring... | 2019-10-17T04:45:16 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.directknowledge.com/diophantine-equations/ | # Diophantine Equations (of the Linear Kind)
• By David A. Smith, Founder & CEO, Direct Knowledge
• David Smith has a B.S. and M.S. in Mathematics and has enjoyed teaching calculus, linear algebra, and number theory at both Tarrant County College and the University of Texas at Arlington. David is the Founder and curre... | 2020-08-11T00:11:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/326304/why-do-electrolytics-have-a-different-charge-and-discharge-rate-for-the-same-cur | # Why do electrolytics have a different charge and discharge rate for the same current
I am measuring the charge and discharge rate of a HV electrolytic capacitor (actually three 560uF, 250V capacitors in series) to calculate the capacitance. Note: The capacitors are hand picked for an effective combined AC capacitanc... | 2020-02-17T11:59:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://alphons.io/1673/what-is-the-formula-of-the-centripetal-force-based-on-linear-speed/ | 👋 Hello! I'm Alphonsio the robot. Ask me a question, I'll try to answer.
What is the formula of the centripetal force based on linear speed?
The centripetal force can be calculated with the following formula:
The previous formula can be generalized in vector form:
Where:
• is the centripetal force expr... | 2021-04-13T07:03:34 | {"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.codecogs.com/library/engineering/fluid_mechanics/pipes/mouthpiece/convergent-mouthpiece.php | • https://me.yahoo.com
# Convergent Mouthpiece
Discharge and Pressure in a Convergent Mouthpiece
## Discharge Through A Convergent Mouthpiece
Generally a jet of liquid gets contracted at the entrance of a mouthpiece. There is always some loss of head due to this contraction of the jet. To counteract the loss of hea... | 2022-11-29T15:26:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 27, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.goodmath.org/blog/2014/03/13/squishy-equivalence-with-homotopy/ | # Squishy Equivalence with Homotopy
In topology, we always talk about the idea of continuous deformation. For example, we say that two spaces are equivalent if you can squish one into the other – if your space was made of clay, you could reshape it into the other just by squishing and molding, without ever tearing or ... | 2023-03-21T13:51:47 | {"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": 86, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/260391/central-limit-theorem-confusion | # Central limit theorem confusion
If a bunch of random variables $X_i$ are independently and identically distributed with an exponential distribution, their sum apparently follows a Gamma distribution.
But doesn't the central limit theorem imply that (for $X_i$ of any distribution with mean zero and variance $\sigma^... | 2015-08-28T00:22:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathinsight.org/applet/double_integral_riemann_sum | # Math Insight
### Applet: Double integral Riemann sum
The volume of the small boxes illustrates a Riemann sum approximating the volume under the graph of $z=f(x,y)$, shown as a transparent surface. The surface is the graph of the function $f(x,y)=\cos^2 x + \sin^2 y$. The volume is computed over the region $D$ defin... | 2017-06-28T08:59:19 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.answers.com/Q/What_is_the_area_of_a_square_that_has_5_meters_width_and_12_meters_length | Math and Arithmetic
Algebra
Geometry
# What is the area of a square that has 5 meters width and 12 meters length?
###### Wiki User
5 x 12 is not a square, but its area is 60 square meters.
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## Related Questions
### What is the formula of square meters?
Multiply the length in meters by the wi... | 2021-02-25T22:57:15 | {"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://math.stackexchange.com/questions/1980231/what-is-relationship-between-distributional-and-fourier-series-frameworks-for-pr | # What is Relationship Between Distributional and Fourier Series Frameworks for Prime Counting Functions?
I've defined three general methods for derivation of formulas for prime counting functions where each prime counting function is represented by an infinite series of Fourier series, and illustrated application of ... | 2020-01-21T23:18:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/tension-in-a-rope-at-an-angle-with-a-hanging-mass.780200/ | # Tension in a rope at an angle with a hanging mass
## Homework Statement
A rope is connected between two fixed points that are separated horizontally from one another by 10 m. The point on the left at a height of 5 m [coordinates (0,5m)], and point on the right is at a height of 10 m [coordinates
(10m,10m)]. A 100 l... | 2021-05-09T20:54:57 | {"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": 0, "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/3211780/components-of-a-vector-in-polar-coordinates | # Components of a vector in polar coordinates
The problem is the following:
A vector in the $$xy$$ plane starts at the point $$(0,-2)$$ and ends (where the tip is) at position $$(0,1)$$. Write its components in polar coordinates.
The problem suggests to start writing the relation between the basis vectors
$$\partia... | 2021-12-01T08:39:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/200891/sample-variance-degrees-of-freedom-two-stage-least-squares | # Sample variance degrees of freedom (two-stage least squares)
Let's say I have one endogenous variable $X_1$ in the linear model
$$Y=X_1\beta$$
and two instrumental variables $Z_1$ and $Z_2$ (strongly correlated with $X_1$ but not $Y$).
I compute the two-stage least squares in the following way:
$$\widehat{\beta}... | 2019-11-19T11:14:15 | {"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://wilcoxen.maxwell.insightworks.com/pages/4681.html | # Fall 2018 Final Exam Solution
Here are the final numerical results for each section of the exam. You can use them to check your work if you do the exam for practice. If you have trouble with the problems, or don't get the answers shown here, stop by during office hours or make and appointment and we can go over them... | 2020-04-07T04:13:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/867449/possible-to-determine-if-a-more-compact-solution-to-a-linear-recurrence-exists | # Possible to determine if a more 'compact' solution to a linear recurrence exists?
Given a linear a recurrence relation. It is possible to express a solution in terms of summations, products, and the coefficients which appear in the recurrence. For example, in the case of a single index, assuming $x_0$ constant:
$x_... | 2019-05-23T14:57:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuclid.org/euclid.aaa/1395858397 | ## Abstract and Applied Analysis
### An Averaging Principle for Stochastic Differential Delay Equations with Fractional Brownian Motion
Yong Xu, Bin Pei, and Yongge Li
#### Abstract
An averaging principle for a class of stochastic differential delay equations (SDDEs) driven by fractional Brownian motion (fBm) with ... | 2019-10-23T15:53:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 1, "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/calculus-i-problem-i-cant-solve.226770/ | # Calculus I problem I can't solve
Here's the problem:
$$d/dx(f(3x^5)) = 8x^2$$
Find $$f'(x)$$
After applying the chain rule:
$$f'(3x^5)(15x^4) = 8x^2$$
$$f'(3x^5) = 8/(15x^2)$$
It's not apparent to me how I proceed from here to find $$f'(x)$$. I tried dividing the expression on the right by three and taking the... | 2019-12-08T03:37:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0891.53044 | ## Stability of hypersurfaces with constant $$r$$-mean curvature.(English)Zbl 0891.53044
The authors show that in the standard spaces $$\overline M^{n+1} (c)$$ of constant curvature $$c$$, the compact (closed) hypersurfaces of constant $$r$$-mean curvature, $$r\in \{1, \dots, n\}$$, are critical points for some variat... | 2022-07-05T01:01:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuclid.org/euclid.jsl/1183745525 | ## Journal of Symbolic Logic
### Relational Semantics and a Relational Proof System for Full Lambek Calculus
Wendy MacCaull
#### Abstract
In this paper we give relational semantics and an accompanying relational proof theory for full Lambek calculus (a sequent calculus which we denote by FL). We start with the Krip... | 2019-10-19T18:53:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/126164/a-real-valued-function-f-x-satisfies-the-functional-equation-f-x-y-f-x-f-y- | # A real valued function $f(x)$ satisfies the functional equation $f(x-y) = f(x) f(y) - f(a-x) f(a+y)$ where $a$ is a given constant and $f(0) = 1, f(2a - x)$ is equal to :
( A ) $f(a) + f(a-x)$
( B ) $-f(x)$
( C ) $f(x)$
( D ) $-f(x)$ | 2019-03-20T05:46:15 | {"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... |
https://mathoverflow.net/questions/353740/singular-schemes-with-a-torus-action-and-embedded-points | # Singular schemes with a torus action and embedded points
I've got a couple rather geometric questions about the following setup.
Let $$X$$ be a scheme over an algebraically closed field ($$\mathbb{C}$$, say) with the action of a torus $$T$$, such that the action has finitely many fixed points. $$X$$ may have some m... | 2022-05-28T16:21:03 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/discrete-math/205688-cauchy-sequence.html | # Math Help - Cauchy Sequence
1. ## Cauchy Sequence
I need to prove that every Cauchy sequence is bounded. Here is my work thus far:
{a(sub n)}n=1 to infinity is a Cauchy sequence. A sequence is said to be Cauchy if for all E>0 there exists N in the natural numbers such that if m,n>=N, then |a(sub n)-a (sub m)|<E.
P... | 2014-09-22T01:18:12 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.math.gatech.edu/seminars-colloquia/series/geometry-topology-student-seminar/jamie-conway-20130213 | ## Hyperbolicity of the Arc and Curve Complex
Series:
Geometry Topology Student Seminar
Wednesday, February 13, 2013 - 13:00
1 hour (actually 50 minutes)
Location:
Skiles 005
,
Georgia Tech
Organizer:
Given any surface, we can construct its curve complex by considering isotopy classes of curves on the surface. If the... | 2018-05-27T21:54:51 | {"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://mathshistory.st-andrews.ac.uk/Extras/Hewitt_autobiography/ | # Edwin Hewitt autobiography
Edwin Hewitt wrote So Far, So Good: My Life Up to Now in 1988, two years after he retired, giving details of his life. Sadly he suffered a severe stroke in January 1989. We give a version of Hewitt's article below.
So Good: My Life Up to Now, by Edwin Hewitt
I was born in Everett, Washin... | 2021-02-28T19:15:33 | {"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... |
https://math.bme.hu/~szasz/lp.html | LIST OF PUBLICATIONS BY Domokos SZÁSZ
1.
On the general branching process with continuous time parameter. Studia Sci. Math. Hung. 2(1967), 227-246.
2.
3.
The applications of distribution functions in water resource management (in Hungarian). Hidrologiai közlöny, 1968, 433-446, (with M. Domokos)
4.
Generation of fittin... | 2021-08-04T09:22:05 | {"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://openstudy.com/updates/4e4c69010b8b958804990bef | ## keebler01 Group Title show all work. Last fall, a gardener planted 95 iris bulbs. She found that only 80 of the bulbs bloomed in the spring. Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms. How many of the bulbs should she plant next fall if she wou... | 2014-07-30T17:38:32 | {"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://math.stackexchange.com/questions/3537284/internal-union-arrows-in-a-topos | # Internal Union Arrows In A Topos
Below I describe an internal intersection arrow in a topos. My main question is, is there a corresponding idea of an internal union arrow, and if so what is the definition of it ?
Pointers to literature would also be helpful. I did see that
https://ncatlab.org/toddtrimble/published... | 2020-10-31T04:14:25 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/133032/ozone-in-ozone-layer/133034 | # Ozone in ozone layer [closed]
If ozone is a gas, and gases have the highest entropy, then how does the ozone gas stay within a few layers of the atmosphere, even though they span for kilometers?
• Entropy and ozone at the top of the atmosphere are two unconnected things. Harmful UV rays from the Sun are unable to p... | 2020-08-13T09:44:25 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://quant.stackexchange.com/tags/yield/new | Tag Info
3
You can calculate Future Value with Matlab as follow FutureVal = fvdisc(Settle, Maturity, Price, Discount, Basis) Settle: Settlement date. Maturity: Exercise date. Price: present value of the security. Discount: Bank discount rate of the security. Basis: Day-count basis of the instrument(actual/360) For ex... | 2015-07-05T04:34:00 | {"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... |
https://stats.stackexchange.com/questions/259595/distribution-of-inter-arrival-times-in-a-poisson-process | # Distribution of inter arrival times in a Poisson process
I am new to Statistics. I am studying Poisson process, I have certain questions to ask.
A process of arrival times in continuous time is called a Poisson process of rate $\lambda$ if the following two conditions hold:
• The number of arrivals in an interval ... | 2020-01-26T09:42:40 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.zookal.com/questions-and-answers/hi-i-am-working-on-a-physics-problem-but-got-646508973 | 1. Math
2. Algebra
3. hi i am working on a physics problem but got...
# Question: hi i am working on a physics problem but got...
###### Question details
Hi, I am working on a physics problem but got stuck on the algebra part of the solution, can someone please help me with simultaneous equations?
I am applying Sne... | 2021-04-14T22:31:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "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/1574472/a-system-of-linear-equations-has-a-solution-iff-b-in-span-textcol-a/1574798 | # A system of linear equations has a solution iff $b \in Span(\text{col} (A))$?
Prove that a system of linear equations $Ax=b$, where $A_{m\times n}$ has a solution iff $b \in Span(\text{col} (A))$.
If $b \in Span(\text{col} (A))$ then $b$ can be expressed uniquely with the vectors that form the columns of $A$, i.e.,... | 2019-05-24T15:30:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/133307/help-with-constant-of-integration | # Help with Constant of Integration
Ok, I hope this question makes sense...
Suppose the the variable y has a distribution of F(y|x).
Suppose after some work I have the following equation:
(1) $\int D dD = \int_{-\infty}^\infty[\int h(x,y,g)dg]d(F(y|x))$
Clearly, we have that $\int D dD = 0.5*D^2 +C_1$. Suppose tha... | 2015-11-27T12:02:20 | {"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://civil.gateoverflow.in/876/gate2017-ce-1-13 | The reaction rate involving reactants $A$ and $B$ is given by $-k[A]^{\alpha} [B]^{\beta}$. Which one of the following statements is valid for the reaction to be first-order reaction?
1. $\alpha=0$ and $\beta=0$
2. $\alpha=1$ and $\beta=0$
3. $\alpha=1$ and $\beta=1$
4. $\alpha=1$ and $\beta=2$ | 2022-10-06T07:28:59 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/27081-find-parametric-equation-line.html | # Math Help - Find a parametric equation of a line
1. ## Find a parametric equation of a line
Find the parametric equation of the line through the point p = (0,1,2) that is parallel to the plane x+y+z=2 and perpendicular to the line x=1+t , y=1-t , z=2t.
Find the parametric equation of the line through the point $P(... | 2015-08-04T08:04:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/381270/what-is-the-direct-proof-of-the-recurrence-relation-about-lattice-path-enumerati | # What is the direct proof of the recurrence relation about lattice path enumeration given by Bizley?
Let $$k$$ be a nonnegative integer and let $$m,n$$ be coprime positive integers. Let $$\phi_k$$ be the number of lattice paths from $$(0,0)$$ to $$(km,kn)$$ with steps $$(0,1)$$ and $$(1,0)$$ that are never rising abo... | 2023-01-28T20:36:04 | {"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": 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/how-do-you-solve-for-x-12-2-x-3 | # How do you solve for x: 12 = -2(x+3)?
Jul 28, 2016
$x = - 9$
#### Explanation:
$12 = - 2 \left(x + 3\right)$
or
$12 = - 2 x - 6$
or
$2 x + 6 = - 12$
or
$2 \left(x + 3\right) = - 12$
or
$x + 3 = - \frac{12}{2}$
or
$x + 3 = - 6$
or
$x = - 6 - 3$
or
$x = - 9$ | 2019-11-20T07:46:05 | {"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.ams.org/mathscinet-getitem?mr=1491110 | MathSciNet bibliographic data MR1491110 46L05 Arzumanian, Victor; Renault, Jean Examples of pseudogroups and their \$C\sp *\$$C\sp *$-algebras. Operator algebras and quantum field theory (Rome, 1996), 93–104, Int. Press, Cambridge, MA, 1997. Links to the journal or article are not yet available
For users without a Mat... | 2016-10-23T17:02:42 | {"extraction_info": {"found_math": true, "script_math_tex": 1, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/66920-calculating-stopping-distance-starting-speed-constant-deceleration-print.html | # Calculating Stopping Distance from starting speed and constant deceleration
• Jan 5th 2009, 07:30 AM
Milly_Bristol
Calculating Stopping Distance from starting speed and constant deceleration
I know this is simple but I can't remember how to do this at all! Just going over antiderivatives...
Starting speed = 55mph (... | 2017-01-21T20:37:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3202743/proving-that-a-field-extension-is-galois | # Proving that a field extension is Galois
Okay, for an assignment I'm seeking to show that a field extension is Galois. However we never really went into detail on proving such things, at least with concrete examples, and I'm having trouble following along with what few examples I can find online. I've tried though, ... | 2019-08-23T16:07:25 | {"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://www.physicsforums.com/threads/energy-conservation.103876/ | # Homework Help: Energy conservation
1. Dec 12, 2005
### iommi0028
If Kinetic Energy is mv²/2 how come E=mc² is a valid equation.. wouldn't it have to be divided by two also because c represents a velocity? Thanks for any help.
2. Dec 12, 2005
### naeblis
the equation e = mc^2 is a fundamental relation between ma... | 2018-09-22T11:38:15 | {"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://dsp.stackexchange.com/questions/34464/how-fast-can-you-sweep-sinewave | # how fast can you sweep sinewave
I am asking specifically about discrete sound signal, non dithered 16 bit 48000 Hz pcm/wav format.
My question is, how fast can you change sinewave frequency before it distort? Imagine a frequency sweep,it starts at 3000 Hz and ends at 6000 Hz, 3000 Hz full cycle sinewave at 48k samp... | 2019-06-24T16:53:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.embeddedrelated.com/blogs-4/mpat/all/all.php | ## Linear Feedback Shift Registers for the Uninitiated, Part XI: Pseudorandom Number Generation
December 20, 2017
Last time we looked at the use of LFSRs in counters and position encoders.
This time we’re going to look at pseudorandom number generation, and why you may — or may not — want to use LFSRs for this purpo... | 2019-02-17T12:30:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/223678/time-ordered-product-vs-path-integral | # Time-ordered product vs path integral
Suppose we have the Green function $$G(k) \equiv \tag 1\int d^4x e^{ikx}\langle 0| T\left(\partial^{x}_{\mu}A^{\mu}(x)B(0)\right)|0\rangle ,$$ which in path integral approach is equal to $$\tag 2 G(k) \equiv \int d^4x e^{ikx}\int \left[\prod_{i}D\Psi_{i}\right] \partial_{\mu}^{x... | 2019-09-22T03:49:09 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.mit.edu/combin/1996sp.html | # MIT-Harvard-MSR Combinatorics Seminar
## Schedule 1996 Spring
Organizer: Jim Propp
### Eighteenth One Day Conference on Combinatorics and Graph Theory
*SUNDAY*, February 4, 1996
10 a.m. to 4:30 p.m. at Smith College Northampton MA 01063
10:00 Ethan Coven (Wesleyan Univ.) Tiling the Integers with One Prototile D... | 2020-10-29T00:54:11 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://carlbrannen.wordpress.com/2008/01/14/consistent-histories-and-density-operator-formalism/ | Consistent Histories and Density Operator Formalism
I’ve been busy recently, mostly trying to sell an ethanol plant, and I realize that the plan was to talk about how a particle interaction could cause a force like gravity. However, I also made the New Year’s Resolution to be more professional in my physics and that w... | 2021-05-16T15:50:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 46, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://knot.kaist.ac.kr/2012/talk_info.php?talk_id=74 | Name Inasa Nakamura Kyoto University Session Jan 10 16:00~16:20 E11-101 Unknotting numbers of torus-covering knots A torus-covering knot is an oriented surface knot which is in the form of a covering over the standard torus. The unknotting number of an oriented surface knot $F$ is the minimal number of disjoint 1-handl... | 2017-09-19T11:46:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/50185/how-does-hassins-algorithm-for-the-restricted-shortest-path-work | # How does Hassin's algorithm for the Restricted Shortest Path work?
I'm studying the Approximation For Restricted Shortest Path Problem paper and don't understand what he is doing. In particular, I wonder why it is important that one computes upper and lower bounds $UB$ and $LB$ on $OPT$, so that their ratio is below... | 2020-08-05T08:25:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.shaalaa.com/question-bank-solutions/derivative-derivative-polynomials-trigonometric-functions-find-derivative-following-functions-it-be-understood-that-a-b-c-d-p-q-r-s-are-fixed-non-zero-constants-m-n-are-integers-x-sec-x-x-tan-x_14008 | Account
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Solution - Find the Derivative of the Following Functions (It is to Be Understood that A, B, C, D, P, Q, R and S Are Fixed Non-zero Constants and M and N Are Integers): (X + Sec X) (X – Tan X) - Derivative - Derivative of Polynomials and Trigonometric Functions
ConceptDerivati... | 2018-02-24T12:21:10 | {"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://math.stackexchange.com/questions/2322949/is-the-ball-of-a-reflexive-space-weakly-metrizable | # Is the ball of a reflexive space weakly metrizable?
We know from Banach-Alaoglu that if $E^*$ is separable then the unit ball is metrizable with the weak topology.
Now is this true for reflexive spaces? I.e., if a Banach $E$ (eq. $E^*$) is reflexive, is its ball weakly-metrizable?
I suspect the answer is no. Is th... | 2019-12-16T08:19:11 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codereview.stackexchange.com/questions/125605/check-for-palindrome-in-singly-linked-list/125687 | # Check for palindrome in singly linked list
Looking for code review, optimizations and best practices.
Node.java
class Node {
Node next;
int data;
public Node(int value) {
data = value;
}
}
Palindrome.java
public class Palindrome {
static Node reverse(Node head) {
Node prev = null;
Node current = head;
Node... | 2020-01-19T00:34:03 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://arne.schlueter.is/working-on/earth-observation-for-journalism/sources/02d-spectral-indices.html | # Generalized Spectral Index Calculation¶
Elaborating on the work done in previous sections, this section contains a complete implementation of the calculation of various spectral indicators.
It does not contain code to download products from the Open Access Hub1. It is rather a re-usable notebook that can be re-used... | 2021-05-07T13:49:11 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://desperatehomeschoolers.com/pages/273302-fender-fct-2-tuner | What Started The Civil War, Floor Tile Calculator With Pattern, Dow Jones & Company, Serif Photoplus X8, Lakeland College Admission Requirements, Pepsi Logo New, How To Make Lime From Shells, Tissue Culture Teak Plant Growth, The Broad Museum Architecture, … Continue reading →" /> What Started The Civil War, Floor Tile... | 2021-01-16T18:04:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.scienceopen.com/document?vid=5fdcd949-7e7e-42a2-be24-618fd7246147 | 6
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DNA nucleosides and their radical anions: molecular structures and electron affinities.
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There is no author summary for this article yet. Authors can add summaries to their articles on Science... | 2019-04-21T06:44:25 | {"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... |
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