url stringlengths 14 2.42k | text stringlengths 100 1.02M | date stringlengths 19 19 | metadata stringlengths 1.06k 1.1k |
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https://www.greencarcongress.com/2012/09/nissan-20120923.html?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+greencarcongress%2FTrBK+%28Green+Car+Congress%29 | ## Nissan says greater than average battery capacity loss due to mileage and temperature
##### 23 September 2012
Nissan Senior Vice President, Research & Development–Nissan Americas, Carla Bailo sent an open letter to the LEAF community summarizing the company’s initial findings on reports of battery capacity loss ex... | 2023-03-21 10:47:57 | {"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://mathhelpforum.com/business-math/23826-solved-please-help.html | I can't find the answer to this question, I don't even know where to start, can anyone help?!
A family has a mortgage their house on a 25 year amortization period. The nominal interest rate is 5.95%, the interest is compounded semi-annually. The family pays $3107.77 monthly towards their mortgage, and their current ba... | 2014-12-21 01:28:50 | {"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": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://worksheets.tutorvista.com/solving-one-step-equations-worksheet.html | # Solving One-step Equations Worksheet
Solving One-step Equations Worksheet
• Page 1
1.
Find the value of $z$ in the number sentence.
$z$ + 2 = 21
a. 19 b. 18 c. 20 d. 17
2.
Find the value of $z$ in the number sentence.
$z$ + 4 = 24
a. 21 b. 19 c. 18 d. 20
3.
Find the value of $x$ in the number sentence.
$x$ + 6 =... | 2014-11-21 16:15:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 17, "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://human-web.org/California/error-function-integration.html | Address Hemet, CA 92545 (951) 530-9254 http://www.thenetmedic.com
# error function integration Mountain Center, California
Generalized error functions Graph of generalised error functions En(x): grey curve: E1(x) = (1−e−x)/ π {\displaystyle \scriptstyle {\sqrt {\pi }}} red curve: E2(x) = erf(x) green curve: E3(x) blu... | 2019-03-22 19:16:35 | {"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... |
https://underground-mining.com/index.php/topics/blasting/7-burden-calculation-procedure | Burden is calculated according to the following expression:
$$B=\frac{0.17 \cdot P_{h} \cdot r_{h}}{k\cdot \sigma_{t}}$$
Where:
$\sigma_{t}$ - Tensile strength of the monolith rock (MPa)
$P_{h}$ - Detonation pressure (GPa)
$r_{h}$ - Borehole radius (m)
$$k=\frac{(1-\nu )}{(1+\nu )(1-2\nu )}$$
$\nu -$Poisson's ra... | 2020-10-25 23:20:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/a-regular-hexagon-has-six-sides-of-equal-length-if-a-regular-hexagon-is-made-fro | # A regular hexagon has six sides of equal length. If a regular hexagon is made from a 36-inch-long string, what is the length of each side?
Jan 14, 2017
$6$ inches
#### Explanation:
We have a regular hexagon and so there are six equal-length sides. We use a string to map out that hexagon - the string is 36 inches ... | 2021-12-08 22:49:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "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.tutorke.com/lesson/334-the-velocity-v-m-s-of-a-moving-body-at-time-t-seconds-is-given-by-v--5t-2%EF%BF%BD%EF%BF%BD%EF%BF%BD-12t-7-calculate-the.aspx | Get premium membership and access revision papers with marking schemes, video lessons and live classes.
OR
# Differentiation and Its Applications Questions and Answers
The velocity V m/s, of a moving body at time t seconds is given by V = 5t^2– 12t +7.
Calculate the acceleration when t = 2 seconds.
(1m 26s)
1179 Vie... | 2023-01-31 06:21:13 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://combio.org/www_publications/index.php?key=inp64&bib=combio.bib | On the Efficiency of Spiking Neural P Systems (bibtex)
by Chen, Haiming, Ionescu, Mihai and Ishdorj, Tseren-Onolt
Abstract:
Spiking neural P systems were recently introduced in citespiking and proved to be Turing complete as number computing devices. In this paper we show that these systems are also computationally eff... | 2019-06-19 11:16:34 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rsangole.netlify.app/post/2017/02/01/finite-mixture-modeling-using-flexmix/ | # Finite Mixture Modeling using Flexmix
This page replicates the codes written by Grun & Leish (2007) in ‘FlexMix: An R package for finite mixture modelling’, University of Wollongong, Australia. My intent here was to learn the flexmix package by replicating the results by the authors.
# Model Based Clustering
The m... | 2021-04-18 21:54:09 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://qanda.ai/en/solver/popular-problems/1015580 | Calculator search results
Formula
$$x ^ { 2 } - 2 x + 3 = 0$$
Do not have the solution
$x = \dfrac { \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 2 \right ) \pm \sqrt{ \left ( - 2 \right ) ^ { 2 } - 4 \times 1 \times 3 } } { 2 \times 1 }$
Simplify Minus
$x = \dfrac { 2 \pm \sqrt{ \left ( - 2 \right ) ^ { 2 } ... | 2022-01-20 13:55:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://msp.org/apde/2016/9-7/p03.xhtml | #### Vol. 9, No. 7, 2016
Recent Issues
The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1948-206X (e-only) ISSN: 2157-5045 (print) Author Index To Appear Other MSP Journals
An analytical and numerical stud... | 2021-11-28 03:00:12 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.enotes.com/homework-help/int-2x-3cos-x-2-dx-find-indefinite-integral-by-776362 | # `int 2x^3cos(x^2) dx` Find the indefinite integral by using substitution followed by integration by parts.
Recall that indefinite integral follows `int f(x) dx = F(x) +C` where:
`f(x)` as the integrand function
`F(x) ` as the antiderivative of `f(x)`
`C` as the constant of integration.
For the given integral pr... | 2022-11-28 07:29:40 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gamedev.net/forums/topic/270144-duplicating-controls-in-vbnet/ | # [.net] Duplicating controls in VB.NET
This topic is 5089 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
I'm working with VB.NET to create a simple Z80 assembly tool. What it has is a series of tab pages, each one with a text box on it. What... | 2018-08-20 04:54:00 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3728261/example-of-a-noncommutative-nonunital-ring-with-this-property-about-its-ideals | # Example of a noncommutative, nonunital ring with this property about its ideals?
Is there any noncommutative ring without $$1$$ that has the following property?
Every right sided ideal is two sided too, but there exists a left sided ideal that is not two sided.
Take any right-not-left duo ring and take its product... | 2021-04-21 23:31:34 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://newtraell.cs.uchicago.edu/research/publications/techreports/TR-98-11 | # TR-98-11
## On the Quantum Complexity of Majority
Hayes, Thomas; Kutin, Samuel; Van Melkebeek, Dieter. 11 December, 1998.
### Abstract
We describe a quantum black-box algorithm computing the majority of $N$ bits with zero-sided error using only $2N/3 + O(\sqrt{N\log N})$ queries: the algorithm returns the correct... | 2021-10-25 20:35:55 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nylogic.org/talks/an-alternate-proof-of-the-halpern-lauchli-theorem-in-one-dimension | # An alternate proof of the Halpern-Läuchli Theorem in one dimension
Set theory seminarFriday, September 12, 201410:00 amGC 5382
# An alternate proof of the Halpern-Läuchli Theorem in one dimension
### The CUNY Graduate Center
I will present a new proof of the strong subtree version of the Halpern-Läuchli Theorem, ... | 2021-07-25 18:50:59 | {"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... |
https://www.geogebra.org/m/bT5BrFqb | # Maximizing Trapezoid Area
[color=#000000]Suppose both legs and one base of the isosceles trapezoid below each have length 1. [br](Drag black slider.) [br][br]If this is so, determine the value of [/color]$\theta$[color=#000000] that maximizes the area of this isosceles trapezoid.[br]Be sure to solve this problem fir... | 2017-11-22 14:45:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.albert.io/ie/linear-algebra/inner-product-space-orthonormal-distance | Free Version
Difficult
# Inner Product Space: Orthonormal Distance
LINALG-HOEYJJ
Let $V$ be an inner product space and let $\{\boldsymbol{u},\ \boldsymbol{v}\}$ be an orthonormal set in $V$.
Compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.
A
$0$
B
$1$
C
$\sqrt{2}$
D
$\sqrt{3}$
E
$2$
F
... | 2017-01-17 02:48:51 | {"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... |
https://www.themathcitadel.com/articles/mod-add-groups-integers.html | ## Like Clockwork: Modulo Addition And Finite Groups Of Integers
### 1. Introduction
Many books on abstract algebra don’t slow down enough to really examine the examples they give. Algebra is a powerful branch of mathematics, whose influence is found all throughout mathematics, engineering, experimental design, and c... | 2022-12-06 00:05:40 | {"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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsoverflow.org/17803/how-can-you-actually-measure-decay-constants | # How can you actually measure decay constants?
+ 3 like - 0 dislike
246 views
I'm trying to understand how people actually measure decay constants that are discussed in meson decays. As a concrete example lets consider the pion decay constant. The amplitude for $\pi ^-$ decay is given by,
\big\langle 0 | T \exp \l... | 2019-07-23 20:00:53 | {"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.or-exchange.org/questions/6659/multiobjective-optimization-of-piecewise-spline-parameters | # Multiobjective optimization of piecewise spline parameters
2 I've only just discovered the subject of multiobjective optimization while I'm trying to solve the problem shown/described below. I'd appreciate advise on possible methods of solution (I'm still teaching myself the subject). Given two piecewise continuous... | 2020-07-04 03:08:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://hal.in2p3.fr/in2p3-00616707 | # Measurement of the W to tau nu Cross Section in pp Collisions at sqrt(s) = 7 TeV with the ATLAS experiment
5 Laboratoire de Physique Corpusculaire
LPC - Laboratoire de Physique Corpusculaire - Clermont-Ferrand
8 APC - Neutrinos
LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies, APC (UMR_7164) - AstroPa... | 2020-11-25 09:15:30 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.docstoc.com/docs/36603736/Southern-Illinois-University-Carbondale-CS202 | # Southern Illinois University Carbondale CS202
Document Sample
Southern Illinois University Carbondale
CS202: Introduction to Computer Science
Fall 2005
Section 6
MIDTERM EXAMINATION 2
Instructor: Kenny Fong
November 1, 2005
Name: __________________________________________
ID: ___________________... | 2013-12-07 15:33:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.phy.ntnu.edu.tw/ntnujava/msg.php?id=5226 | Refraction obey Snell's Law $n_1\sin\theta_1=n_2\sin\theta_2$
[/quote]
what i mean is the equation "x^2/n+y^2/n=1"
i dun see the snell's law in it? | 2019-03-22 20:50:04 | {"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": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physicscatalyst.com/chemistry/ideal-and-non-ideal-solutions.php | # Ideal and Non- Ideal Solutions
## Ideal and Non- Ideal Solutions
Liquid-liquid solutions can be classified into ideal and non-ideal solutions on the basis of Raoult’s law
### Ideal solution
An ideal solution is a solution which always obeys Raoult’s law under all conditions of temperature and pressure.
Characteri... | 2021-12-09 10:07:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/what-is-the-mechanism-for-expansion.14208/ | What is the mechanism for expansion
1. Feb 10, 2004
wolram
if space is expanding and we take it that it is quantasized
into planckian units of invariant dimensions what is the
mechanism for expansion, do these planck quanta multiply?
or have i misunderstood the concept?
2. Feb 13, 2004
meteor
Hi, in LQG the nodes... | 2017-06-25 02:23:50 | {"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://piping-designer.com/index.php/mathematics/geometry/solid-geometry/760-cube | # Cube
Written by Jerry Ratzlaff on . Posted in Solid Geometry
• Cube (a three-dimensional figure) is a regular polyhedron with square faces.
• All edges are the same length.
• All faces are squares
• Diagonal is a line from one vertices to another that is non adjacent.
• Circumscribed sphere is a polyhedron is a sph... | 2022-10-03 04:38:02 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://eccc.weizmann.ac.il/title/Z | Under the auspices of the Computational Complexity Foundation (CCF)
REPORTS > A-Z > Z:
A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z - Other
Z
TR02-001 | 8th January 2002
Cynthia Dwork, Moni Naor
#### Zaps and Their Applications
A zap is a two-round, witness-i... | 2021-05-06 18:10:19 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-use-the-binomial-series-to-expand-sqrt-1-x | # How do you use the binomial series to expand sqrt(1+x)?
Dec 18, 2015
sqrt(1+x) = (1+x)^(1/2) = sum(1//2)_k/(k!)x^k with $x \in \mathbb{C}$
Use the generalization of the binomial formula to complex numbers.
#### Explanation:
There is a generalization of the binomial formula to the complex numbers.
The general bin... | 2019-07-20 02:57:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 8, "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://mathoverflow.net/questions/25968/what-is-the-most-simple-non-planar-gorenstein-curve-singularity/26418 | # What is the most simple non-planar Gorenstein curve singularity?
Let $R$ be a reduced curve singularity over an algebraically closed field $k$ and $\tilde{R}$ its integral closure in its total ring of fractions.
The $k$-dimension of $\tilde{R}/R$ is finite. If we assume $R$ is non-planar and Gorenstein, then how sm... | 2015-04-27 07:38:37 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.albert.io/ie/sat-chemistry-subject-test/calculating-average-atomic-mass | Free Version
Difficult
# Calculating Average Atomic Mass
SATCHM-3TV61Q
An element $(X)$ has two naturally occurring isotopes. $X-90$ has an abundance of $75\%$ and $X-94$ has an abundance of $25\%$.
What is the average atomic mass of element $X$?
A
$90 \ amu$
B
$91 \ amu$
C
$92 \ amu$
D
$93 \ amu$
E
$94 \... | 2017-01-20 03:53:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.gradesaver.com/last-of-the-mohicans/q-and-a/what-is-the-attitude-of-indians-as-evidenced-by-magua-towards-the-french-309713 | # what is the attitude of indians, as evidenced by Magua, towards the french?
from the last of the mohicans | 2017-09-21 16:17:38 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gamedev.net/forums/topic/670977-code-review/ | # Code Review
This topic is 1067 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
I recently interviewed with a CAD-based studio where I live for a C++/Renderer position. The role was to work on their internal 3D rendering code that's written i... | 2018-07-20 12:52:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/wave-function-zero-at-infinity.242250/ | # Wave Function Zero At Infinity?
1. Jun 27, 2008
### GAGS
Its looking quite simple problem but let me explain properly my question.
Wave function as we know is also known as matter wave/field amplitude. Then definitely there is associated a wave with it. Then how can we say that wave amplitude vanished at infinite!... | 2018-07-18 01:59:44 | {"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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.techwhiff.com/learn/you-find-the-following-corporate-bond-quotes-to/14283 | # You find the following corporate bond quotes. To calculate the number of years until maturity, assume...
###### Question:
You find the following corporate bond quotes. To calculate the number of years until maturity, assume that it is currently January 15, 2019 and the bonds have a par value of $2,000. Company (Tic... | 2023-02-07 09:10:05 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://blog.albert-learning.com/quiz/will-or-would/ | # Will or Would?
Welcome to your quiz on Will or Would?
Choose the correct answer.
If I have the time, I _____ pick her up.
She didn’t think that he _____ be there.
What do you think _____ happen if there is no rain?
I don’t know if I _____ be free tomorrow.
_____ you like some tea?
They _____ go to the mall today.... | 2022-09-29 07:42:27 | {"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... |
https://readpaper.com/paper/4705295257206538241 | This website requires JavaScript.
# Unitary paradox of cosmological perturbations
Dec 2022
If we interpret the Bekenstein-Hawking entropy of the Hubble horizon asthermodynamic entropy, then the entanglement entropy of the superhorizon modesof curvature perturbation entangled with the subhorizon modes will exceed the... | 2023-01-29 09:59:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/268157/lower-bound-of-data-dimension-when-using-a-deep-learning-architecture | # lower-bound of data dimension when using a deep learning architecture
I have a (X,Y)=(100,5) dataset (non-image) that I used with a deep linear classifier on Tensorflow to train and evaluate. At the same time, I have tested the very same dataset with conventional and shallow ML models (i.e. Random forest, DS-trees, ... | 2021-06-14 00:55:33 | {"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... |
https://www.physicsforums.com/threads/frw-metric-time-component.807269/ | FRW Metric: time component
Tags:
1. Apr 7, 2015
unscientific
Taken from Hobson's book:
Metric is given by
$$ds^2 = c^2 dt^2 - R^2(t) \left[ d\chi^2 + S^2(\chi) (d\theta^2 + sin^2\theta d\phi^2) \right]$$
Thus, $g_{00} = c^2, g_{11} = -R^2(t), g_{22} = -R^2(t) S^2(\chi), g_{33} = -R^2(t) S^2(\chi) sin^2 \theta$.
G... | 2017-11-25 04:49:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/125455/interaction-effect-of-2x2-anova-in-meta-analysis | # Interaction effect of 2x2 ANOVA in meta-analysis
I want to meta-analyze the interaction effect of a 2x2 ANOVA.
(I am not talking about an interaction in the meta-regression, as in this question but about an interaction as the focal effect that should be meta-analytically summarized).
What is the best way to code t... | 2019-07-22 22:53:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.transtutors.com/questions/construct-a-2-7-2-design-by-choosing-two-four-factor-interactions-as-the-independent-1913870.htm | # Construct a 2 7-2 design by choosing two four-factor interactions as the independent generators.... 1 answer below »
Construct a 27-2 design by choosing two four-factor interactions as the independent generators. Write down the complete alias structure for this design. Outline the analysis of variance table. What is... | 2019-10-21 15:19:57 | {"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... |
http://math.stackexchange.com/questions/112336/average-of-i-i-d-exponential-random-variables?answertab=active | average of i.i.d. exponential random variables
I have a question about the following probability:
$Pr\{\frac{\sum^N_{k=1}u_k}{N}<1\}$
where $u_k\sim \exp(1)$ are i.i.d. exponential random variables with mean one (also, $\frac{\sum^N_{k=1}u_k}{N}$ is gamma distributed).
I have plotted this probability for different ... | 2016-04-29 10:49:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://chronicle.com/blognetwork/castingoutnines/2008/01/08/software-software-get-your-fresh-software/ | Previous Mathematics and sex Next Finding success at MIT, and anywhere else
Software! Software! Get your fresh software!
January 8, 2008, 7:58 pm
Lots of activity on the software front lately.
OmniFocus, the GTD app which I wrote about here, was released in version 1.0 today. I’ve been very satisfied with OmniFocus... | 2015-08-02 16:30:29 | {"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://cs.stackexchange.com/questions/64742/1s-complement-addition-of-outer-carry-to-the-result | # 1's complement addition of outer carry to the result
Let's take for example this addition: 3 + (-1).
• 1 in binary is 001, and to obtain it's 1's complement counterpart we flip the bits. So it is: 110.
• 3 in binary is 011.
011 + 110 = 1001
That first 1 which is in bold has to be added to the number formed by th... | 2020-03-30 22:47:21 | {"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://nrich.maths.org/5573/solution | ### Exploring Wild & Wonderful Number Patterns
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
### I'm Eight
Find a great variety of ways of asking questions which make 8.
### Sending Cards
This challenge a... | 2017-10-20 23:11:32 | {"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://www.billmongan.com/Ursinus-CS173-Fall2021/Assignments/DNAMutations | # Assignment Goals
The goals of this assignment are:
1. To manipulate strings using the substring method
2. To apply string indexing in the context of iteration
3. To select and implement appropriate test cases to check boundary cases and potential off-by-one errors
4. To memory map strings on paper and to validate th... | 2022-11-30 07:58:23 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.adrian.idv.hk/2005-04-08-latextricks/ | # Text, style, and grammar
Try Queequeg
### Prevent hyphenation at once
\hyphenpenalty=5000
\tolerance=1000
### Using limit-mode in summation
Force limits to place at above and below (useful for inline equation):
\sum\limits_{x=1}^{n}\frac{1}{n}
### Equal by Definition
i^2 \stackrel{\mathrm{def}}{=} -1
### ... | 2018-08-19 19:23:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/133052/what-exactly-are-ancestors-in-dag | What exactly are ancestors in DAG
I am new to graph theory and confused with ancestors definition in DAG(or in general graph).
For example in the following DAG
1--->2--->3<---4<---5
If I start DFS from 1 vertex first then path covered is 1--2--3. Then next if I start DFS from vertex 5, then the path covered is 5--... | 2021-04-10 21:14:53 | {"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://solvedlib.com/n/find-the-value-of-5-6-4-7,8260739 | # Find the value of $(5 ! 6 !) /(4 ! 7 !)$.
###### Question:
Find the value of $(5 ! 6 !) /(4 ! 7 !)$.
#### Similar Solved Questions
##### In order to estimate the mean amount of time computer users spend on the internet each...
In order to estimate the mean amount of time computer users spend on the internet each ... | 2022-08-10 02:24:57 | {"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": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.myoak.info/post/71/ | # Machine Learning - Online Learning and Recommender System
## Online Learning
The online learning setting allows us to model problems where we have a continuous flood or a continuous stream of data coming in and we would like an algorithm to learn from that. Today, many of the largest websites use different versions... | 2019-07-18 05:09:15 | {"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://dwwiki.mooo.com/w/index.php?title=Talk:Main_Page&oldid=25949 | # Talk:Main Page
Old content for this page has been archived, and can be found at the following locations.
Main Page/Archive 1 Main Page/Archive 2 Main Page/Archive 3 Main Page/Archive 4 Main Page/Archive 5 Main Page/Archive 6
## Item Shop Inventories
I have noticed that there is not a comprehensive list of item sh... | 2023-02-04 18:23:57 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/feeds/question/96639 | Decomposing $\mathbf{\Pi}^1_1$ sets into closed sets - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T23:50:00Z http://mathoverflow.net/feeds/question/96639 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/96639/decomposing-mathbf-pi1-1-sets-into-closed-sets D... | 2013-05-19 23:50:00 | {"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.upsc.xyz/30/show-that-similar-matrices-have-characteristic-polynomial | 0 votes
Show that similar matrices have same characteristic polynomial.
asked Nov 11, 2017
## 1 Answer
0 votes
The similar matrix of a matrix $A$ is $P^{-1}AP$ where P is invertible.
The characteristic equation of $P^{-1}AP$ is $|P^{-1}AP - \lambda I| = 0$. Now,
$|P^{-1}AP - \lambda I| \\ = |P^{-1}AP - P^{-1}\lambd... | 2018-12-17 19:47:55 | {"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://hpx-docs.stellar-group.org/latest/html/examples/1d_stencil.html | Local to remote: 1D stencil¶
When developers write code they typically begin with a simple serial code and build upon it until all of the required functionality is present. The following set of examples were developed to demonstrate this iterative process of evolving a simple serial program to an efficient, fully-dist... | 2021-01-18 10:50:41 | {"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.physicsforums.com/threads/solving-a-differential-equation-numerically-in-octave-matlab-c.436212/ | # Solving a differential equation numerically (in Octave, Matlab &c.) (1 Viewer)
### Users Who Are Viewing This Thread (Users: 0, Guests: 1)
#### ejlflop
1. The problem statement, all variables and given/known data
I have a second-order non-linear differential equation that I am trying to solve. So far I have decom... | 2019-03-25 03:27:40 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cbse.eduvictors.com/2022/02/class-11-physics-mechanical-properties.html | Class 11 - Physics - Mechanical Properties of Solids and Fluids - Important Points to Remember
1. Elasticity:
It is the property of a material by which it tries to regain its original configuration after the removal of the deforming force applied to it. Example of perfectly elastic solid, quartz, phosphor, bronze.
2... | 2022-08-20 02:37:17 | {"extraction_info": {"found_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://unacademy.com/goal/jee-main-and-advanced-preparation/TMUVD/practice/topics/WKUGJ/concept/NHRJB | Home
###### SELF STUDY
BrowsePracticeTestsSyllabusDoubts & solutionsFree live classesOther courses
## Viscosity & Terminal Velocity
#### Quick practice
##### Question 1 of 5
Spherical balls of radius R are fulling in a viscous fluid of viscosity with a velocity v. The retarding viscous force acting on the spherica... | 2022-06-25 19:19:05 | {"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://www.flyingcoloursmaths.co.uk/wrong-useful-episode-34/ | # Wrong, But Useful: Episode 34
In this month's podcast, @reflectivemaths and I discuss:
• Colin's book being available to buy
• Number of the podcast: Catalan's constant, which is about 0.915 965 (defined as $\frac{1}{1} - \frac{1}{9} + \frac{1}{25} - \frac{1}{49} + ... + \frac{1}{(2n+1)^2} - \frac{1}{(2n+3)^2} + ..... | 2019-10-16 09:35:57 | {"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://www.quizover.com/online/course/9-5-applications-of-thermodynamics-heat-pumps-and-refrigerators-by-ope?page=2 | # 9.5 Applications of thermodynamics: heat pumps and refrigerators (Page 3/7)
Page 3 / 7
## The best COPhp Of a heat pump for home use
A heat pump used to warm a home must employ a cycle that produces a working fluid at temperatures greater than typical indoor temperature so that heat transfer to the inside can ta... | 2018-04-27 06:55:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 15, "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://ethereum.stackexchange.com/questions/1162/why-is-homebrew-downloading-old-geth-version | Im on mac OSX, so I go to terminal CLI and do
brew install ethereum
then I get
==> Downloading https://build.ethdev.com/builds/OSX%20Go%20master%20brew/193/bottle/ethereum-1.1.0.yosemite.bottle.193.tar.gz
######################################################################## 100.0%
==> Pouring ethereum-1.1.0.yose... | 2019-10-16 19:13:06 | {"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://zlxb.zafu.edu.cn/en/article/2003/4 | ## 2003 Vol. 20, No. 4
column
2003, 20(4): 331-335.
[Abstract](1080) [PDF](169)
Abstract:
As a precious traditional Chinese medicine , Cornus officinalis has been in wild or semi-wild conditions for a long time and the genetic variations within its species are very complicated .Through breeding procedures including pr... | 2022-06-27 07:56:36 | {"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": 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/ground-state-wavefunction-energy-for-2-electrons.392717/ | # Ground state wavefunction & energy for 2 electrons
## Homework Statement
2 electrons are in a box of length L. Ignoring Coulomb force, 1 and 2 are labels for the electrons and m is the mass of an electron. What is the ground state and 1st excited state for the energy and wavefunction for the two electrons? Is there... | 2021-05-10 01:15:52 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://blender.stackexchange.com/questions/64257/fatal-python-error-on-startup-not-responding | # Fatal Python Error on Startup (Not Responding)
Can someone help me? Every time I try to run blender it keeps I get the same error, I tried to install blender as a zip file, install a previous version that I know worked for me before (on the same computer as now), install blender from Steam, and search all over the i... | 2020-01-23 17:10:45 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://support.bioconductor.org/p/112520/ | Question: Deseq 2 multiple comparisons (3 groups, 24 samples)
0
14 months ago by
Matthew.baldwin0 wrote:
Dear all,
I am hoping you can help the correct test for my experimental design which is as follows: I tested the cells of 3 different donors (rotator cuff tears), on 8 different nano fibre scaffolds (different ani... | 2019-11-18 20:40:59 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/391748/how-to-apply-two-or-more-gauge-transformations | # How to apply two or more gauge transformations?
Let $f=f(t)$ be a physical quantity of a system, $t$ is a variable e.g time. For infinitesimal variation $\delta t$: $$f(t_{0}+\delta t)=f(t_{0})+\frac{\mathrm{d}f}{\mathrm{d}t}\delta t=f_{0}+\{f,H_{T}\}$$ where $H_{T}=H+u_{m}\phi_{m}$ with $\phi_{m}\approx 0$ is prima... | 2021-04-21 11:56:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/tags/calculus-and-analysis/hot?filter=month | # Tag Info
9
Here is a visualization using MeshFunctions (as mentioned by Daniel in the comment): f = x y z; g = x^2 + 10 y^2 + z^2; gp = With[{r = 3}, RegionPlot3D[g < 5, {x, -r, r}, {y, -r, r}, {z, -r, r}, PlotStyle -> Orange, PlotPoints -> 40, Mesh -> None, ViewPoint -> Front, PlotTheme -> "Classic"] ]; With[{r = ... | 2015-04-25 18:27:21 | {"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... |
http://math.stackexchange.com/questions/216598/g-is-a-topological-group-acts-on-topological-space-x-is-f-gx-rightarrow-x | # G is a topological group acts on topological space $X$, is $f_{g}:X\rightarrow X, x\rightarrow g*x$ continuous?
Let $G$ be a topological group acts on the topological space $X$, for an elememt $g\in G$, let's define the map $f:X\rightarrow X, f(x)=g*x$.
I am trying to find if $f$ is continuous?
my best thanks
-
W... | 2013-12-18 15:18:17 | {"extraction_info": {"found_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://redding.dev/policy-paragraphs/ | economics
# Policy Paragraphs
Some brief musings on a few policies.
## Government Debt
As I've discussed previously, the appropriate discount rate for Americans is probably around 2.4%. The real interest rate on federal government debt is literally negative now and has almost always been below 2.4% DFII10. Forget i... | 2021-03-05 19:40:33 | {"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://www.ncatlab.org/nlab/show/real+cohomology | Contents
cohomology
# Contents
## Idea
By real cohomology one usually means ordinary cohomology with real number coefficients, denoted $H^\bullet\big(-, \mathbb{R}\big)$.
Hence, with the pertinent conditions on the domain space $X$ satisfied, its real cohomology $H^\bullet\big(-, \mathbb{R}\big)$ is what is comput... | 2022-06-29 02:55:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 12, "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/questions/63729/what-is-the-entropy-of-a-system-when-its-volume-tends-to-zero | # What is the entropy of a system when its volume tends to zero?
Say that a closed system has $n$ dimensions and is in the shape of a $n$-ball with a radius of 1, it's volume will be
$$\frac{\pi^\frac{n}{2}}{\Gamma(\frac{n}{2}+1)}$$
which tends to 0 yet is not empty as n tends to infinity.
My question might not mak... | 2014-04-21 05:37:54 | {"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... |
http://openstudy.com/updates/5594b05ee4b0113e4fb81184 | ## anonymous one year ago For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.
1. anonymous
The vertex is (–1, 4), the domain is all real numbers, and the range is y ≥ 4. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≤ 4.-my answer The vertex is (1, 4), the domain... | 2017-01-19 13:45:26 | {"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... |
https://mareknarozniak.com/2020/10/14/jordan-wigner-transformation/ | In this article we are going to simulate different kinds of indistinguishable particles and introduce that concept briefly in case if you are not yet familiar with them. We will also write few words about the second quantization formalism in $1$D to be able to formally represent quantum states involving those particles... | 2020-10-31 22:59:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 49, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://in-terra-veritas.blogspot.com/2008/ | Ramblings about what I encounter within the realm of the geosciences, as well as the occasional rant about nonsense.
## 20 December 2008
### Anchor's Away! Geology in action in the Mediterranean
Just saw this on Reuters. A couple other news sites (358 at the time of this post) have picked it up as well. The USA Toda... | 2021-10-23 12:14:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www4.math.duke.edu/media/watch_video.php?v=4e211e151c8f4d372f61b05dc3ddde44 | Quicklists
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# Felix Otto : Gergen Lecture - Speaker, Felix Otto
## root
232 Views
In three specific examples, we shall demonstrate how the theory of partial differential equations (PDEs) relates to pattern formation in nature: Spinodal decomposition and the Cahn-Hilliard equation, Rayleigh... | 2023-03-29 07:41:46 | {"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://www.physicsforums.com/threads/heat-transfer-problem.746305/ | # Heat Transfer Problem
## Homework Statement
Two bodies of masses $m$$_{1}$ and $m$$_{2}$ and specific heat capacities $s$$_{1}$ and $s$$_{2}$ , are connected by a rod of length $l$ and cross-sectional area $A$, thermal conductivity $K$ and negligible heat capacity. The whole system is thermally insulated. At time $... | 2020-12-04 02:59:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/207510/what-does-the-number-kernel-option-refer-to-in-svm | # What does the number 'Kernel Option' refer to in SVM?
I read that the performance of some kernel functions in SVM can change if we change the number known as kernel option. For example, this article states that kernel option of value 2 was used, http://library.binus.ac.id/eColls/eThesisdoc/Bab5/TSA-2014-0084%205.pdf... | 2022-01-18 11:32:48 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wikimili.com/en/Differential_equation | # Differential equation
Last updated
In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. [1] In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a rel... | 2021-05-10 07:55:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 29, "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://nickyjam.com/b5h3lmjb/article.php?c0626b=coordination-number-of-nickel | Video Explanation. CHEM1902 Coordination Chemistry The total number of points of attachment to the central element is termed the coordination numberand this can vary from 2 to as many as 16, but is usually 6. What is the coordination number of a nickel atom? Thus the metal atom has coordination number 8 in the coordina... | 2021-04-20 14:20:31 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://langintro.com/cljsbook/functions_in_cljs.html | # Functions in ClojureScript¶
So, how do you call functions in ClojureScript? There’s a universal rule: Write an open parenthesis, the name of the function, the function’s arguments, and a closing parenthesis.
## Doing Arithmetic with Functions¶
Bringing back the addition function box from the previous page:
If you... | 2018-01-23 13:37:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/221825/for-a-matrix-f-with-more-columns-than-rows-why-is-f-cdot-ft-invertible/221828 | # For a matrix $F$ with more columns than rows, why is $F\cdot F^T$ invertible?
Assuming $F$ is a matrix with full rank but more columns than rows - why is $F\cdot F^T$ invertible?
-
What just happened?! – Lord_Farin Oct 27 '12 at 21:23
Invertible..."things"? You mean like a dog doing a rolling trick or a capsizing s... | 2016-02-13 09:25:08 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/239137/what-is-the-dimension-of-subspace-vecu-in-bbbrn-vecnt-vecu-vec0?answertab=oldest | # What is the dimension of subspace $\{\vec{u}\in\Bbb{R}^n:\vec{n}^T\vec{u}=\vec{0}\}$?
The subspace in question: $V=\{ \vec{u} \in \Bbb{R}^n : \vec{n}^T\vec{u}=\vec{0} \}$
I am assuming that $\vec{u} = \begin{bmatrix}x_0 \\ x_1 \\ \vdots \\ x_2\end{bmatrix}$.
The dimension of a vector space/subspace is equal to the... | 2015-01-28 01:55:19 | {"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://256k1.dev/posts/ecdsa_malleability/ | ## What is ECDSA?⌗
• ECDSA is a signature generation scheme which uses a key pair consisting of a public key and a private key.
• The "EC" relates to this scheme being a variant based on an Elliptic Curve.
• ECDSA requires agreement of three parameters:
1. G — the generator point
2. n — the multiplicative order of... | 2023-03-26 12:16:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.dml.cz/handle/10338.dmlcz/127463?show=full | # Article
Title: On oscillation and asymptotic property of a class of third order differential equations (English) Author: Parhi, N. Author: Pardi, Seshadev Language: English Journal: Czechoslovak Mathematical Journal ISSN: 0011-4642 (print) ISSN: 1572-9141 (online) Volume: 49 Issue: 1 Year: 1999 Pages: 21-33 Summary... | 2021-05-08 16:28:22 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://gmatclub.com/forum/if-denotes-a-mathematical-operation-does-x-y-y-x-for-all-x-92157.html?fl=similar | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 03 May 2016, 22:00
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
C... | 2016-05-04 05:00:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/688427/hodge-star-operator-and-volume-form-on-arbitrary-manifold | # Hodge Star operator and volume form on arbitrary manifold
I guess this is the question on definitions, however, I haven't managed to find a clear answer to this question:
Suppose we have a manifold, there is metric tensor, so we can use it to calculate Hedge Star operator on differential forms.
Let $\Omega$ be the... | 2021-08-02 10:29:43 | {"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://fewlinesofcode.com/swift,/ios,/gesture_recognizer,/$1/2019/05/13/dollar-one-unistroke-recognizer.html | The $1 Unistroke Recognizer is a 2-D single-stroke recognizer designed for rapid prototyping of gesture-based user interfaces. In machine learning terms,$1 is an instance-based nearest-neighbor classifier with a 2-D Euclidean distance function, i.e., a geometric template matcher.
Original paper is here: http://depts.w... | 2020-04-06 12:50:22 | {"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.stackexchange.com/questions/412544/astonishing-and-innocent-results-with-the-axiom-of-choice?noredirect=1 | # Astonishing and innocent results with the axiom of choice
The product of nonempty sets is nonempty.
I am fascinated that such a simple and seemingly intuitive statement can lead to rather astonishing results such as the Banach-Tarski paradox or the solution to this riddle.
I am also intrigued by the seemingly inno... | 2019-04-22 00:36:07 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.aps.org/synopsis-for/10.1103/PhysRevD.94.103506 | # Synopsis: Seeing Dark Matter Through the Clouds
A correlation between the cosmic microwave background and hydrogen absorption lines may reveal a connection between dark matter and intergalactic gas clouds.
As light travels to Earth from distant quasars, it’s absorbed at certain frequencies by hydrogen in intergalac... | 2017-01-20 18:09:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://dlldesigner.com/mean-square/normalised-mean-square-error-wiki.php | Home > Mean Square > Normalised Mean Square Error Wiki
# Normalised Mean Square Error Wiki
## Contents
Like the variance, MSE has the same units of measurement as the square of the quantity being estimated. The term is always between 0 and 1, since r is between -1 and 1. In bioinformatics, the RMSD is the measure of... | 2018-02-24 13:56:24 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/tags/power-series/new | # Tag Info
## New answers tagged power-series
0
Let $$S_m=\sum_{k=m}^\infty kr^k=\sum_{k=m-1}^\infty (k+1)r^{k+1}=mr^m+r\sum_{k=m}^\infty (k+1)r^k.$$ Then $$S_m-mr^m-rS_m=r\sum_{k=m}^\infty r^k=\frac{r^{m+1}}{1-r}$$ and $$S_m=\frac{r^m(m-(m-1)r)}{(1-r)^2}.$$ So $$\sum_{k=1}^\infty kr^k=S_1=\frac r{(1-r)^2}$$ and $$\... | 2016-06-28 22:31:00 | {"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://www.techwhiff.com/issue/identify-the-countries-overrun-by-germany--262379 | # Identify the countries overrun by Germany.
###### Question:
Identify the countries overrun by Germany.
### On January 1, 2019, Electro Inc. issued $740,000 of 7.5%, four-year bonds that pay interest semiannually on June 30 and December 31. They are issued at$680,186 and their market rate is 10% at the issue date. ... | 2023-02-05 23:27:31 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.quantumstudy.com/mathematics/complex-number/ | # Complex Number
Basic Concepts :
A number in the form of a + ib, where a, b are real numbers and i = √-1 is called a complex number.
A complex number can also be defined as an ordered pair of real numbers a and b and may be written as (a, b), where the first number denotes the real part and the second number denotes... | 2019-08-21 11:47:42 | {"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://plainmath.net/80211/i-m-trying-to-solve-the-following-proble | # I'm trying to solve the following problem. Let f be an integrable function in (0,1). Suppose th
I'm trying to solve the following problem.
Let $f$ be an integrable function in (0,1). Suppose that
${\int }_{0}^{1}fg\ge 0$
for any non negative, continuous $g:\left(0,1\right)\to \mathbb{R}$. Prove that $f\ge 0$ a.e. in... | 2022-09-28 12:04:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 92, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.simonqueenborough.info/R/basic/lessons/Sequences_of_Numbers.html | In this lesson, you’ll learn how to create sequences of numbers in R. Sequences of numbers are used in many different tasks, from plotting the axes of graphs to generating simulated data.
The simplest way to create a sequence of numbers in R is by using the : operator. Type 1:20 to see how it works.
1:20
## [1] 1 ... | 2019-02-16 14:09:27 | {"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://mathematica.stackexchange.com/questions/57147/double-backslash-file-path-problemversion-10-0?noredirect=1 | double-backslash-file path problem@version 10.0 [duplicate]
I found this happen @ Mathematica 10 pre test version and formal English version.
• Copy a file from windows, then paste into FrontEnd cell, you'll get a path, such like
"C:\\Users\\Hyper\\Documents\\b"
This is Ok.
However, in the Chinese character case
... | 2019-09-18 19:22:27 | {"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://github.com/vishwa-raman/DeepLearning | # vishwa-raman/DeepLearning
Code to build MLP models for outdoor head orientation tracking
Latest commit 9959f39 Jan 23, 2013
Type Name Latest commit message Commit time
Failed to load latest commit information.
dl Jan 22, 2013
scripts Jan 17, 2013
utils/src Jan 22, 2013
# DeepLearning
Code to build MLP models for o... | 2019-05-22 08:56:02 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/algebra-2-common-core/chapter-2-functions-equations-and-graphs-2-4-more-about-linear-equations-lesson-check-page-86/1 | ## Algebra 2 Common Core
$y=-3x-1$
RECALL: The slope-intercept form of a line's equation is $y=mx + b$, where m=slope and b=y-intercept. The line has a slope of -3, so $m=-3$. This means that the tentative equation of the line is $y=-3x+b$. The line passes through the point (1,-4), which means that the coordinates of ... | 2019-04-26 02:40:54 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lw2.issarice.com/users/donald-hobson | Comment by donald-hobson on Is "physical nondeterminism" a meaningful concept? · 2019-06-16T21:46:54.112Z · score: 2 (2 votes) · LW · GW
You can certainly get anthropic uncertainty in a universe that allows you to be duplicated. In a universe that duplicates, and the duplicates can never interact, we would see the app... | 2019-06-18 18:42:13 | {"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://tex.stackexchange.com/questions/168803/latex-balanced-twocolumn-text-with-footnotes-only-in-the-right-column-ftnright | # LaTeX: Balanced twocolumn Text with Footnotes only in the right column (ftnright)
Do the packages ftnright and balance work together?
I'm looking for a solution to generate a twocolumn text in LaTeX. My footnotes should appear at the bottom of the right column. However, my main problem is the last page: Both column... | 2021-09-27 20:22:03 | {"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://simbad.cds.unistra.fr/simbad/sim-ref?bibcode=2015ApJS..218...12L | other querymodes : Identifierquery Coordinatequery Criteriaquery Referencequery Basicquery Scriptsubmission TAP Outputoptions Help
2015ApJS..218...12L - Astrophys. J., Suppl. Ser., 218, 12 (2015/May-0)
Jet luminosity of gamma-ray bursts: the blandford-znajek mechanism versus the neutrino annihilation process.
LIU T.... | 2023-03-30 05:23:26 | {"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... |