url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://www.bartleby.com/questions-and-answers/problem-142-concord-co.-is-building-a-new-hockey-arena-at-a-cost-of-dollar2620000.-it-received-a-dow/e9f07370-ce6b-4f60-a99e-e30bd950189f | # Problem 14-2 Concord Co. is building a new hockey arena at a cost of $2,620,000. It received a downpayment of$530,000 from local businesses to support the project, and now needs to borrow $2,090,000 to complete the project. It therefore decides to issue$2,090,000 of 11%, 10-year bonds. These bonds were issued on Janu... | 2021-03-01T14:18:24 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://jfpettit.github.io/blog/2019/11/03/fundamentals-of-reinforcement-learning | # Looking at the Fundamentals of Reinforcement Learning
### 03 Nov 2019 by Jacob Pettit
#### Estimated read time: 26 mins
In this post, we’ll get into the weeds with some of the fundamentals of reinforcement learning. Hopefully, this will serve as a thorough overview of the basics for someone who is curious and does... | 2020-08-08T09:47:08 | {"extraction_info": {"found_math": true, "script_math_tex": 132, "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/m... |
https://www.physicsforums.com/threads/effect-of-errors-due-to-branching-and-acceptances.957526/ | # I Effect of errors due to branching and acceptances
#### CAF123
Gold Member
Say I have say 10 measurements of an experimental observable e.g differential cross section with respect to rapidity , one measurement in each bin and corresponding statistical and systematic uncertainties given in % per bin.
Now, suppose ... | 2019-05-23T10:00:19 | {"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... |
http://math.stackexchange.com/questions/17420/is-there-a-more-accurate-simpler-formula-than-this/17422 | # Is there a more accurate / simpler formula than this?
I am trying to make a formula where a "table lookup" is not required. Given these two tables:
Days Discount Refs Rent_Cost
------------------ ------------------------
15 0.00 0-250 $0.200 30 0.05 251-500$0.210
6... | 2015-12-01T20:38:55 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1350477/properties-of-tensor-product-of-modules | # Properties of tensor product of modules
Let $M'$ be a submodule of $\mathbb{Z}$-module $M$, and let $i:M'\rightarrow M$ be a natural monomorphism.
How to prove the following theorem ? :
$i\otimes 1_N:M'\otimes_{\mathbb{Z}} N \rightarrow M\otimes_{\mathbb{Z}} N$ is a monomorphism for all $\mathbb{Z}$-modules $N$ if... | 2019-12-14T21:35:15 | {"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://www.mathdoubts.com/tan-triple-angle-formula/ | # Tan triple angle formula
### Expansion form
$\tan{3\theta} \,=\, \dfrac{3\tan{\theta}-\tan^3{\theta}}{1-3\tan^2{\theta}}$
### Simplified form
$\dfrac{3\tan{\theta}-\tan^3{\theta}}{1-3\tan^2{\theta}} \,=\, \tan{3\theta}$
### Introduction
It is called tan triple angle identity and used in two cases as a formula.
... | 2021-10-18T02:43:22 | {"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://puzzling.stackexchange.com/questions/55465/point-mass-soldiers-in-fogland | # Point mass soldiers in Fogland
A troop of N immortal point mass soldiers (with N >= 3) are attempting to infiltrate Fogland (an infinite 2-dimensional plane covered in fog).
They will jump out of an airplane and, after being buffeted by the winds, will each land in an independent random location in Fogland.
Unfortun... | 2019-11-20T10:21:03 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.shirpeled.com/2015/12/casting-to-double-is-faster-than-kahans.html | ## Wednesday, December 23, 2015
### A floating problem
Floating point precision problems are notoriously annoying, and personally I was somewhat surprised they are still an issue in this day and age, but they are.
For instance, by the end of the following code:
float x = 0;
float f = 1e-6;
for (unsigned i = 0; i < 1e... | 2018-10-23T02:39:36 | {"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/expected-value-of-random-sums-with-dependent-variables.410540/ | # Expected value of random sums with dependent variables
1. Jun 16, 2010
### agarwalv
Hi all,
I have a question of computing the expectation of random sums.
E(sim_{k=1}^N X_k) = E(N)E(X) if N and X_1, X_2,.....are independent and X_k's are iid. Here both N and X_k's are r.vs.
But the condition of N and X_1, X_2,.... | 2018-02-24T10:56:06 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/283004-solution-satisfies-inequalities.html | # Thread: solution that satisfies inequalities
1. ## solution that satisfies inequalities
I'm interested in the condition for existence of a solution $\displaystyle (x_1, x_2)$ given
$\displaystyle |a-x_1|\leq C_1$
$\displaystyle |x_1-x_2|\leq C_2$
$\displaystyle |b-x_2|\leq C_3$
$\displaystyle x_1,x_2\leq C_4$
Thi... | 2019-10-15T17:14:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/discrete-math/66961-dedekind-cuts.html | 1. ## Cuts
I assume you are all familiar with the idea of a "cut": A non empty subset A of $\mathbb{Q}$ with the following properties:
(1) A is bounded above
(2) A has no maximum (least upper bound)
(3) A is closed downwards
: $x \in A$ And $y \leq A \Rightarrow y \in A$
I'm not sure with the following things:
(a) ... | 2017-03-30T00:59:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 49, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://opticsgirl.com/index-of-refraction-and-sellmeiers-equation/ | # Index of Refraction and Sellmeier’s Equation
Now that we know how the classical dipole behave, we can solve the equation of motion for the macroscopic polarization density, given as:
$$\frac{d^2P}{dt^2}+(\gamma + \frac{2}{T_2′})\frac{dP}{dt}+\omega_0^2P = \frac{Ne^2}{m}E$$
which we found using our heuristic model ... | 2022-01-25T01:40:27 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/calculate-the-rmsd-for-the-odd-solutions.179150/ | # Calculate the RMSD for the odd solutions
1. Aug 2, 2007
### ehrenfest
Calculate the RMSD for the odd solutions of the infinite symmetric well problem.
The odd solutions have the form:
$$u_n(x) = 1/\sqrt{a} \cdot sin(n \pi x/a)$$
So, I should multiply u_n by x, then take the integral over the bottom of the well ... | 2017-02-20T20:30:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0695.14003 | # zbMATH — the first resource for mathematics
Connexions et classes caractéristiques de Beilinson. (Connections and Beilinson characteristic classes). (French) Zbl 0695.14003
Algebraic $$K$$-theory and algebraic number theory, Proc. Semin., Honolulu/Hawaii 1987, Contemp. Math. 83, 349-376 (1989).
[For the entire colle... | 2021-04-14T16:29:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://asiahk16.kattis.com/problems/peaktram | Asia Hong Kong Regional Contest 2016
#### Start
2016-11-06 03:00 CET
## Asia Hong Kong Regional Contest 2016
#### End
2016-11-06 08:00 CET
The end is near!
Contest is over.
Not yet started.
Contest is starting in -617 days 2:17:32
5:00:00
0:00:00
# Problem DPeak Tram
Inspired by the Peak Tram in Hong Kong, you... | 2018-07-16T04:17:32 | {"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://www.math.ias.edu/seminars/abstract?event=43434 | # The Tamagawa Number Formula via Chiral Homology
Joint IAS-PU Number Theory Seminar Topic: The Tamagawa Number Formula via Chiral Homology Speaker: Dennis Gaitsgory Affiliation: Harvard University Date: Thursday, March 1 Time/Room: 4:30pm - 5:30pm/S-101
Let X a curve over F_q and G a semi-simple simply-connected gr... | 2018-09-24T22:08:21 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://danielgrin.net/2016/01/07/spectral-distortions-from-the-dissipation-of-tensor-perturbations/ | # Spectral distortions from the dissipation of tensor perturbations
Left panel shows the temperature pattern seen by an electron in the metric field of a passing gravitational wave. Right panel shows spectrum of superposition of blackbodies compared with a blackbody at their mean temperature, as well as chemical poten... | 2021-05-09T08:11:08 | {"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://www.gradesaver.com/textbooks/math/calculus/calculus-10th-edition/chapter-5-logarithmic-exponential-and-other-transcendental-functions-5-5-exercises-page-363/80 | Calculus 10th Edition
$\frac{32}{3ln(3)}$
solve for indefinite integral let u=$\frac{x}{4}$ $\frac{1}{4}dx=du$ $dx=4du$ $\int3^{\frac{x}{4}}dx$ $=\int 3^udu$ $=\frac{3^u}{ln(3)}+C$ $=\frac{3^{\frac{x}{4}}}{ln(3)}+C$ ---- $\int3^{\frac{x}{4}}dx$ [-4,4] $=\frac{3^{-1}}{ln(3)}-\frac{3}{ln(3)}$ $=\frac{32}{3ln(3)}$ | 2018-08-22T08:40:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/193528/minimality-condition-in-a-certain-class-of-hypergraphs | # Minimality condition in a certain class of hypergraphs
A hypergraph is a pair $H=(V,E)$ such that $V$ is a (possibly infinite) set and $E\subseteq \mathcal{P}(V)$. $C\subseteq E$ is said to be a cover if $\bigcup C = V$ and $C$is minimal if $C'\subseteq C$ and $C'\neq C$ imply $\bigcup C'\neq V$.
We call $H=(V,E)$ ... | 2021-04-11T19:03:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.geogebra.org/m/cKWyz4Y8 | Exploring the Fundamental Theorem of Algebra
Topic:
Algebra
What do we see? To the left is a circle centred at the origin with radius where A lies on the x-axis. The point, z, lies on this circle. We think of z as a complex number. Indeed, z can be any complex number. Here . To the right there appears to be another ci... | 2022-09-29T05:04:14 | {"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.techwhiff.com/learn/430-ma-current-is-carried-by-uniformly-wound/270384 | # A 43.0 mA current is carried by a uniformly wound air-core solenoid with 420 turns, a...
###### Question:
A 43.0 mA current is carried by a uniformly wound air-core solenoid with 420 turns, a 13.0 mm diameter, and 11.0 cm length. (a) Compute the magnetic field inside the solenoid. HT (b) Compute the magnetic flux t... | 2023-02-04T15:01:06 | {"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.annevanrossum.com/ | ## Attend, Infer, Repeat
A long, long time ago - namely, in terms of these fast moving times of advances in deep learning - two years (2016), there was once a paper studying how we can teach neural networks to count.
# Attend, infer, repeat
This paper is titled “Attend, infer, repeat: Fast scene understanding with g... | 2018-09-25T05:00:47 | {"extraction_info": {"found_math": true, "script_math_tex": 76, "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/ma... |
https://thomas1111.wordpress.com/2012/04/ | ## Archive for April, 2012
### What about a Galois Prize for young European mathematicians ?
April 3, 2012
(The following text is a rewritten version, translated into english, of an opinion column that I had submitted elsewhere but which didn’t appear, for some reason which has now appeared.)
I would like to humbly... | 2020-07-10T09:02:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://meangreenmath.com/2015/09/22/different-ways-of-solving-a-contest-problem-part-3/ | # Different ways of solving a contest problem (Part 3)
The following problem appeared on the American High School Mathematics Examination (now called the AMC 12) in 1988:
If $3 \sin \theta = \cos \theta$, what is $\sin \theta \cos \theta$?
When I presented this problem to a group of students, I was pleasantly surpri... | 2017-12-13T18:57:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 23, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://cameramath.com/es/expert-q&a/Algebra/11-The-amount-of-garbage-11-The-amount-of-garbage-G-produced | ### ¿Todavía tienes preguntas de matemáticas?
Pregunte a nuestros tutores expertos
Algebra
Pregunta
The amount of garbage, $$G$$ , produced by a city with population $$p$$ is given by $$G = f ( p ) . G$$ is measured in tons per week, and $$p$$ is measured in thousands of people. a. The town of Tola has a population o... | 2022-05-16T05:31:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mlstat.wordpress.com/tag/bwt/ | ### Archive
Posts Tagged ‘BWT’
## BWT for NLP (2)
November 12, 2009 2 comments
I show how the Burrows-Wheeler Transform can be used to compute the similarity between two strings. We submitted results from this method (along with results from the Context-Chain metric developed by my colleagues Frank Schilder and Rav... | 2017-10-21T19:12:25 | {"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": 40, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://sofdem.github.io/gccat/gccat/sec2.1.6.html | ### 2.1.6. Reification view
Suppose we want to associate a 0-1 domain variable $b$ to a constraint $𝒞$ and maintain the equivalence $b\equiv 𝒞$. This is called the reification of $𝒞$. For most global constraints this can be achieved by reformulating the global constraint as a conjunction of pure functional dependen... | 2022-05-23T11:26:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 8, "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/1778187/show-that-x3-y3-z3-t3-1999-has-infinitely-many-integer-solutions/1778240 | # Show that $x^3 + y^3 + z^3 + t^3 = 1999$ has infinitely many integer solutions.
Show that $x^3 + y^3 + z^3 + t^3 = 1999$ has infinitely many integer solutions.
I have not been able to find a single solution to this equation. With some trial I think there does not exist a solution with all of them positive. Can you ... | 2021-04-15T03:35:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.j.sinap.ac.cn/nst/EN/10.1007/s41365-016-0076-8 | # Nuclear Science and Techniques
《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL 2019 Impact factor 1.556
Nuclear Science and Techniques ›› 2016, Vol. 27 ›› Issue (3): 72
• NUCLEAR PHYSICS AND INTERDISCIPLINARY RESEARCH •
### Photon interaction with semiconductor and scintillation detectors
V. P. Singh , N. M. Badiger... | 2022-01-16T09:47:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/39564/about-the-sum-of-two-integrals-and-jordan-decomposition | # About the sum of two integrals and Jordan decomposition
Let $(X,\mathcal{F})$ be a measurable space. Let $\mu : \mathcal{F} \rightarrow \mathbb{R}$ be a real measure (i.e. $\mu (\phi) = 0$ and $\mu$ is $\sigma$-additive). Let $$|\mu| (E) = \sup \left\{\sum_{h=0}^\infty |\mu(E_h)|, E_h\; {\rm are~pairwise~disjoint},\... | 2015-04-18T16:06:26 | {"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://math.eretrandre.org/tetrationforum/showthread.php?pid=3303 | • 0 Vote(s) - 0 Average
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elementary superfunctions tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 04/28/2009, 09:37 PM bo198214 Wrote:Yes exactly those formula I was looking for! However can you shorten them a bit by gathering terms or introducing constants for repeatedly occur... | 2019-09-23T07:56:42 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 156, "/images/m... |
https://mgbu.teehome.shop/en/one-mole-of-water-contains-how-many-atoms-of-oxygen.html | remington 7600 ghost ring sights
# One mole of water contains how many atoms of oxygen
sun tracker replacement seats
Jan 09, 2020 · For one gram atomic weight of oxygen with atomic weight of 16 grams, one mole of oxygen also contains 6.022 × 1023 oxygen atoms. Similarly, for one gram atomic weight of silicon with at... | 2022-12-06T03:00:53 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codegolf.stackexchange.com/questions/120796/infinitely-print-zenos-dichotomy-paradox-1-2n/120831 | # Infinitely Print Zeno's Dichotomy Paradox (1/(2^n))
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second one orders half a beer. The third one orders a fourth of a beer. The bartender stops them, pours two beers and says, "You're all a bunch of idiots."
Reddit
Print the fol... | 2019-12-09T01:02:53 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rdrr.io/cran/EnvStats/man/egammaAltCensored.html | # egammaAltCensored: Estimate Mean and Coefficient of Variation for a Gamma...
### Description
Estimate the mean and coefficient of variation of a gamma distribution given a sample of data that has been subjected to Type I censoring, and optionally construct a confidence interval for the mean.
### Usage
1 2 3 4 e... | 2017-04-26T02:13:47 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.poissonboltzmann.org/examples/Solvation_energies/ | # Solvation Energies
Solvation energies are usually decomposed into a free energy cycle as shown in the free energy cycle below. Note that such solvation energies often performed on fixed conformations; as such, they are more correctly called “potentials of mean force”. More details on using APBS for the polar and non... | 2017-02-22T21:57:47 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ncatlab.org/nlab/show/exterior+differential+system | # Idea
There are several different ways to think about differential systems:
• the general abstract way which we shall put forward here:
an exterior differential system is a sub-Lie-∞-algebroid $\mathfrak{a} \hookrightarrow T X$ of the tangent Lie algebroid $T X$ of a manifold that is the kernel of a morphism $p : T... | 2017-02-20T01:48:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 101, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://firas.moosvi.com/oer/physics_bank/content/public/019.Magnetism/Magnetic%20Flux/Flux%20due%20to%20a%20coil/Flux%20due%20to%20a%20coil.html | # Flux due to a coil#
The coil whose lengthwise cross section is shown in the figure carries a current $$I$$ and has $$N$$ evenly-spaced turns distributed along the length $$\ell$$. Evaluate the magnetic flux $$\oint\vec{\mathbf{B}}\cdot d\vec{\mathbf{\ell}}$$ for each of the paths indicated.
## Part 1#
Path A:
• $... | 2022-09-28T10:07:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://techlib.adi.com/dynamics-of-real-time-chapter-10/ | Select Page
10.1 Introduction
In this chapter we show how the real-time variable-step integration described in Chapter 9 can be combined with the multi-rate integration described in Chapter 8 to implement asynchronous real-time multi-rate simulation using either a single processor or multiple processors. Key to the s... | 2022-07-05T17:58:09 | {"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.ck12.org/studyguides/algebra/systems-of-linear-inequalities-study-guide.html | # Systems of Linear Inequalities
## Big Picture
One way to solve systems of linear equalities is to graph the inequalities and see if there are any areas on the graph where the inequalities overlap. The places where the inequalities’ graphs overlap are the solutions to the system.
## Key Terms
Linear Inequality: A ... | 2021-09-27T00:49:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/194350/parabolic-branch-cut | # Parabolic Branch Cut
The following is problem 19 from page 87 of Saff and Snider's "Fundamentals of Complex Analysis for Mathematics, Science, and Engineering,"
How would you construct a branch of $\log z$ that is analytic in the domain D consisting of all points in the plane except those lying on the half-parabola... | 2016-05-03T09:20:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wikimili.com/en/Fuchsian_group | # Fuchsian group
Last updated
In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded equivalently as a group of isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group ... | 2021-09-19T08:50:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 5, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/calculus/university-calculus-early-transcendentals-3rd-edition/chapter-3-section-3-9-inverse-trigonometric-functions-exercises-page-181/8 | ## University Calculus: Early Transcendentals (3rd Edition)
a) Need to calculate the value of inverse trigonometric function . $cot^{-1}(-1)=\frac{3\pi}{4}$ b) Need to calculate the value of inverse trigonometric function. $cot^{-1}({\sqrt 3})=(\frac{\pi}{6})$ c) Need to calculate the value of inverse trigonometric fu... | 2019-11-18T05:37:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.goodmath.org/blog/2008/12/27/e-the-unnatural-natural-number-classic-repost/?replytocom=30679 | # e: the Unnatural Natural Number (classic repost)
I’m away on vacation this week, taking my kids to Disney World. Since I’m not likely to have time to write while I’m away, I’m taking the opportunity to re-run an old classic series of posts on numbers, which were first posted in the summer of 2006. These posts are mi... | 2021-04-11T14:53:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2667432/show-that-if-a-topological-space-has-at-most-countable-basis-then-the-space-is | # Show that if a topological space has at most countable basis, then the space is separable and Lindelöf
Let $(X,\mathcal{T})$ be a topological space. Show that if $(X, \mathcal{T})$ has countable base, it is separable (a) and Lindelöf (b)
My attempt:
Let $\mathcal{B}$ be a countable basis of the given topology.
(a... | 2019-11-15T10:57:37 | {"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://math.stackexchange.com/questions/2409918/integral-involving-logarithm-and-dilogarithm | # Integral involving Logarithm and Dilogarithm
I need your help in evaluating the following integral in closed form. $\displaystyle\int\limits_{0.5}^{1} \frac{\mathrm{Li}_{2}\left(x\right)\ln\left(2x - 1\right)}{x}\,\mathrm{d}x$
Since the function is singular at $x = 0.5$, we are looking for Principal Value. The inte... | 2021-03-04T01:05:11 | {"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... |
http://mathoverflow.net/questions/9466/why-these-particular-numerical-factors-in-the-definition-of-gaussian-curvature/9500 | # Why these particular numerical factors in the definition of Gaussian curvature?
Wikipedia tells me that:
Gaussian curvature is the limiting difference between the circumference of a geodesic circle and a circle in the plane:
$K = \lim_{r \rightarrow 0} (2 \pi r - \mbox{C}(r)) \cdot \frac{3}{\pi r^3}$
Gaussian cur... | 2013-12-13T21:26:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mcq.electronics-club.com/flip-flop-mcq/ | # Flip-Flop MCQ
## Flip-Flop MCQ
Flip-Flop MCQ, MCQ on Flip-Flop, Multiple Choice Questions on Flip-Flop, Objective Questions on Flip-Flop, Digital Electronics MCQ, Engineering MCQ, J-K Flip-Flop MCQ, S-R Flip-Flop MCQ, D Flip-Flop MCQ, T Flip-Flop MCQ
Logic Gate MCQ
### Objective Type Questions
Q.1. A combination... | 2022-05-26T16:44:35 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2620213/what-does-the-p-harmonic-series-converge-to-when-p-1-%CE%B5 | # What does the p-harmonic series converge to when p = 1 + ε?
In infinitesimal calculus, $\epsilon$ is an infinitesimal number, that is, it is defined to be a number smaller than any real number but greater than $0$.
The p-harmonic series is:
$\displaystyle \sum_{n=1}^{\infty} \frac{1}{n^p}$
It is well known that t... | 2019-08-20T12:25:47 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.expii.com/t/intersection-of-sets-definition-examples-4304 | Expii
# Intersection of Sets - Definition & Examples - Expii
The intersection of two or more sets consists of the elements common to all the sets. The intersection symbol ∩ means "and.". | 2023-02-08T13:35:28 | {"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://scicomp.stackexchange.com/tags/c/hot | # Tag Info
### Looking for Runge-Kutta 8th order in C/C++
If you're doing celestial mechanics over long time scales, using a classical Runge-Kutta integrator will not preserve energy. In that case, using a symplectic integrator would probably be better. ...
• 29.9k
Accepted
### How to document math formulations in s... | 2022-08-17T17:47:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.researchgate.net/topic/Control-Systems-Engineering | Science topic
Control Systems Engineering - Science topic
Control engineering or control systems engineering is the engineering discipline that applies control theory to design systems with desired behaviors.
Questions related to Control Systems Engineering
• asked a question related to Control Systems Engineering
Qu... | 2022-10-02T00:27:41 | {"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... |
http://slideplayer.com/slide/4182423/ | # Peter Richtárik Randomized Dual Coordinate Ascent with Arbitrary Sampling Foundations of Computational Mathematics – Montevideo, Uruguay – December 2014.
## Presentation on theme: "Peter Richtárik Randomized Dual Coordinate Ascent with Arbitrary Sampling Foundations of Computational Mathematics – Montevideo, Uruguay... | 2016-12-06T02:31:01 | {"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": 2, "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/266129/flowchart-where-the-nodes-are-pspictures | # Flowchart where the nodes are pspictures
I want to create a flowchart, in which every node is itself a pspicture (with nodes and arrows), and there are arrows between the pspictures themselves. Here is an example (which looks bad because I had to manually place the text and the arrows):
Currently, I am creating the... | 2019-12-11T22:25:34 | {"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... |
http://jnva.biemdas.com/archives/1473 | ## H.M. Srivastava, M.I. Qureshi, S.H. Malik, Some hypergeometric transformations and reduction formulas for the Gauss function and their applications involving the Clausen function
Full Text: PDF
DOI: 10.23952/jnva.5.2021.6.10
Volume 5, Issue 6, 1 December 2021, Pages 981-987
Abstract. The aim of this paper is to o... | 2021-12-04T20:13:58 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://strawberryfields.readthedocs.io/en/latest/code/backend.html | # Backend API¶
Module name: strawberryfields.backends.base
This module implements the backend API. It contains the classes
as well as a few methods which apply only to the Gaussian backend.
Note
The backend API is $$\hbar$$ independent. Internally the Strawberry Fields backends use $$\hbar=2$$.
Note
Keyword argu... | 2019-07-23T19:40:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mathdoubts.com/basic/number/type/real/natural/ | # Natural numbers
A number, whose value real and represents whole is defined as a natural number.
Natural numbers is a collection of numbers which represent real and complete quantities. It is originally used in counting objects, measuring whole quantities (not fractions) and labeling anything. Due to the use of thes... | 2018-10-17T09:15:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 9, "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://fiberguide.net/tech-guides/synopsis-lightscape-traps-rydberg-atoms-in-the-dark/ | Synopsis: Lightscape Traps Rydberg Atoms in the Dark
16 Jan Synopsis: Lightscape Traps Rydberg Atoms in the Dark
A holographic technique confines excited Rydberg atoms in the central dark region of a 3D light-intensity pattern.
Neutral atoms in highly excited Rydberg states could be the next big thing in quantum com... | 2020-12-05T02:15:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/i-just-found-a-new-way-to-calculate-force.914261/ | # B I just found a new way to calculate Force
1. May 10, 2017
### John Clement Husain
I found a new way to calculate force without getting the acceleration when you have velocity, mass, & time.
F = (m/t)v
I just find this more efficient than getting the acceleration, why not use one formula.
2. May 10, 2017
### St... | 2017-08-23T18:56:58 | {"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://ludovicarnold.altervista.org/teaching/optimization/gradient-descent/ | Course completion
55%
$\DeclareMathOperator*{\argmax}{arg\,max} \DeclareMathOperator*{\argmin}{arg\,min} \DeclareMathOperator{\dom}{dom} \DeclareMathOperator{\sigm}{sigm} \DeclareMathOperator{\softmax}{softmax} \DeclareMathOperator{\sign}{sign}$
A common local optimization method is the gradient descent algorithm. The... | 2019-02-18T09:20:50 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://linearalgebras.com/baby-rudin-chapter-1a.html | If you find any mistakes, please make a comment! Thank you.
Solution to Principles of Mathematical Analysis Chapter 1 Part A
Chapter 1 The Real and Complex Number Systems
Exercise 1
(By ghostofgarborg) Note that $\mathbb{Q}$ is closed under the arithmetic operations of addition, subtraction, multiplication and taki... | 2021-06-19T12:41:36 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.zbmath.org/?q=an%3A1352.74022 | # zbMATH — the first resource for mathematics
A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. (English) Zbl 1352.74022
Summary: The numerical modeling of dynamic failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situat... | 2021-06-20T18:16:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.zbmath.org/?q=an%3A0641.70014 | # zbMATH — the first resource for mathematics
Mather sets for plane Hamiltonian systems. (English) Zbl 0641.70014
Recently J. N. Mather [Topology 21, 457-467 (1982; Zbl 0506.58032)] developed a theory for area preserving monotone twist maps of an annulus, the main result of which is a generalization of the notion of a... | 2021-04-13T01:45:58 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gradesaver.com/textbooks/science/physics/college-physics-4th-edition/chapter-10-problems-page-400/58 | ## College Physics (4th Edition)
The maximum kinetic energy of the body is $4.0\times 10^{-6}~J$
In general: $y(t) = A~sin(\omega~t+\phi)$ In this case: $y(t) = (4.0~cm)~sin~[~(0.70~rad/s)~t~]$ We can see that $~A = 4.0~cm~$ and $~\omega = 0.70~rad/s~$ At the equilibrium position, the upward force of the spring is equ... | 2021-04-12T17:18:29 | {"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://brilliant.org/problems/sat-fractions-and-decimals/ | # SAT Fractions
Number Theory Level 2
Daniel ate $$\frac{1}{7}$$ of a cake. Edward ate $$\frac{1}{3}$$ of what was left. What fraction of the cake is left uneaten?
(A) $$\ \ \frac{1}{7}$$
(B) $$\ \ \frac{2}{7}$$
(C) $$\ \ \frac{11}{21}$$
(D) $$\ \ \frac{4}{7}$$
(E) $$\ \ \frac{6}{7}$$
× | 2016-10-22T16:12:50 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.shaalaa.com/question-bank-solutions/if-difference-between-roots-equation-x-2-x-8-0-2-write-values-quadratic-equations_54302 | # If the Difference Between the Roots of the Equation X 2 + a X + 8 = 0 is 2, Write the Values of A. - Mathematics
If the difference between the roots of the equation $x^2 + ax + 8 = 0$ is 2, write the values of a.
#### Solution
Given:
$x^2 + ax + 8 = 0 .$
Let $\alpha \text { and } \beta$ are the roots of the equa... | 2021-04-20T20:17:11 | {"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://photonsquared.com/categories/ | # Posts by Category
## Estimation of Temperature and Pressure of a Constant Volume Propane-Oxygen Mixture
Published:
A recent project required a first-order approximation to determine if an explosive gas mixture would result in a tank rupture. The following analysis done in Python and follows Coopers analysis 1 It p... | 2020-03-31T05:44:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2530182/concerning-the-derivative-definition-using-limit | # Concerning the derivative definition using limit
If we have the following function $$\phi(x)=\frac{e^{m_2x}-e^{m_1x}}{m_2-m_1}$$ and we want to find the following limit $$\lim_{m2\to m_1}{\frac{e^{m_2x}-e^{m_1x}}{m_2-m_1}}$$ where $$m_2=m_1+h$$ then I think it must be $$\frac{d}{dm}e^{mx}|_{m=m_1}=e^{m_1x}x$$ My fir... | 2019-07-17T04:29:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/why-does-sinx-1-2i-e-ix-e-ix.102655/ | # Why does sinx=(1/2i)[e^(ix)-e^(-ix)]?
1. Dec 4, 2005
### asdf1
why does sinx=(1/2i)[e^(ix)-e^(-ix)]?
2. Dec 4, 2005
### siddharth
This can be shown from Euler's formula.
http://mathworld.wolfram.com/EulerFormula.html" [Broken]
Last edited by a moderator: May 2, 2017
3. Dec 4, 2005
### asdf1
e^ix=cosx+isinx
... | 2017-10-24T00:43:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://amathew.wordpress.com/tag/abstract-nonsense/ | This post is an exposition of the material in the paper “Homotopy is not concrete” by P. Freyd, of whose existence I learned from this MO discussion.
A category ${\mathcal{C}}$ is concrete if there is a faithful functor ${F: \mathcal{C} \rightarrow \mathbf{Sets}}$. Most of the categories one initially encounters are i... | 2020-07-15T06:21:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/differential-geometry/142491-differentiable-mappings-banach-spaces-need-help.html | # Thread: Differentiable mappings and Banach spaces - need help
1. ## Differentiable mappings and Banach spaces - need help
Please, tell me how I can prove this, seemingly, simple statement?
If $\langle{E,\|\!\cdot\!\|_1}\rangle,\,\langle{F,\|\! \cdot\!\|_2}\rangle$ - the Banach spaces, $G\subset{E}$ - an open set a... | 2017-05-28T09:24:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 16, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://zbmath.org/?q=an:1226.60132 | ## Escape of resources in a distributed clustering process.(English)Zbl 1226.60132
Summary: In a distributed clustering algorithm introduced by E. G. Coffman jun., P.-J. Courtois, E. N. Gilbert and P. Piret [J. Appl. Probab. 28, No. 4, 737–750 (1991; Zbl 0741.60114)], each vertex of $$\mathbb Z^{d}$$ receives an initi... | 2022-05-18T07:31:01 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathsmadeeasy.co.uk/maths-revision-cards/probability-higher-revision-card-answers/ | # Probability Higher Revision Card Answers
## HP1 – Probability Basics
QUESTION: Lauren, Harriet, & Amira are all playing a game which continues until someone wins. Lauren says “I have a 40% chance of winning”, whilst Harriet says “I have a $\frac{1}{4}$ chance of winning”. Amira then claims that if the Lauren & Har... | 2019-05-23T17:14:25 | {"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... |
http://clay6.com/qa/28592/among-the-following-the-compound-that-can-be-most-readily-sulphonated-is | Browse Questions
Among the following, the compound that can be most readily sulphonated is
(a) Benzene (b) Nitro benzene (c) Toluene (d) Chloro benzene
$-CH_3$ group that has +1 effect and due to its presence, toluene has highest electron density in the benzene ring.
For this reason Toluene can be easily sulphonated... | 2017-04-27T11:07:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/8103/list | 2 fixed terminology
Here is one set of data that will be sufficient. To get the monoidal structure you don't actually need a ("bilinear") monoidal) functor $C \to C \boxtimes C$. It is sufficient to have a bimodule category M from C to $C \boxtimes C$. You will also need a counit $C \to Vect$, and these will need to g... | 2013-05-24T02:42:47 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://teachingcalculus.com/2013/02/22/error-bounds/ | # Error Bounds
Whenever you approximate something you should be concerned about how good your approximation is. The error, E, of any approximation is defined to be the absolute value of the difference between the actual value and the approximation. If Tn(x) is the Taylor/Maclaurin approximation of degree n for a funct... | 2020-08-05T07:31:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 26, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://gmatclub.com/forum/on-the-day-of-the-performance-of-a-certain-play-each-ticket-1717.html | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 23 May 2015, 07:18
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https://epione.gitlabpages.inria.fr/flhd/federated_learning/introduction.html | # Introduction¶
Standard machine learning approaches require to have a centralizaed dataset in order to train a model. In certain scenarios like in the biomedical field, this is not straightforward due to several reasons like:
This slows down research in healthcare and limits the generalization of certain models.
##... | 2021-03-04T14:41:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/64269/list | 7 deleted 762 characters in body
If a real Banach space is all-equal, I think that it is finite dimensional and inner-product. This can be proved (at least in the finite dimensional case) using the John ellipsoid (see http://mathoverflow.net/questions/41211/easy-proof-of-the-fact-that-isotropic-spaces-are-euclidean), ... | 2013-05-22T12:01:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://hal.in2p3.fr/in2p3-00155193 | # The hadronic contribution to (g-2) of the muon
Abstract : The evaluation of the hadronic contribution to the muon magnetic anomaly $a_\mu$ is revisited, taking advantage of new experimental data on $e^+e^-$ annihilation into hadrons: SND and CMD-2 for the $\pi^+\pi^-$ channel, and \babar for multihadron final states... | 2019-04-24T15:08:58 | {"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... |
https://mindmatters.ai/2019/10/yes-you-can-manipulate-infinity-in-math/ | Mind Matters Natural and Artificial Intelligence News and Analysis
# Yes, You Can Manipulate Infinity—in Math
The hyperreals are bigger (and smaller) than your average number — and better!
Most of us learned the basic number systems in high school—integers (positive and negative whole numbers), fractions (ratios of ... | 2022-05-28T22:49:40 | {"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.recuperafranchising.it/site/random-brownian-motion-simulation-32d9b8 | Since there are so many gas molecules in the air, it will constantly bump into other molecules (roughly $$10^{14}$$ hits per second - that equals the total number of Google searches performed worldwide during 79 years!) 0000043277 00000 n If you get $$5$$ or $$6$$, roll again. By definition, $$B_{0.1} - B_0$$ is normal... | 2022-05-26T11:30:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://greprepclub.com/forum/if-the-average-of-p-and-4p-is-10-then-p-15670.html | It is currently 12 Nov 2019, 10:59
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http://mathoverflow.net/questions/42706/post-correspondence-problem-variant/42721 | # post correspondence problem variant
Is there an algorithm which takes as input two lists of words $v_1,...,v_n$ and $w_1,...,w_n$ over an alphabet $X$ and decides if there is an infinite sequence $(k_i)$ where $1 \leq k_i \leq n$ for all $i$ such that $v_{k_1}v_{k_2}...=w_{k_1}w_{k_2}...$? It seems that undecidabili... | 2014-10-25T05:47:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://zbmath.org/?q=an:0853.53069 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | 2014-04-24T21:35:56 | {"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://math.stackexchange.com/questions/242079/using-divergence-theorem-on-boundary-of-surface | # Using Divergence Theorem on boundary of surface
Use the Divergence Theorem to evaluate $$\iint_{S} \vec{F} \cdot \hat{n}\,dS,$$ where $\vec{F} = \langle 4x, 2y^2, z^2 \rangle, S$ is the boundary of the region defined by $x^2 + y^2 + z^2 \leq 4,\,\, 0 \leq z \leq 3$ and $\hat{n}$ is the unit outward normal
Attempt: ... | 2015-11-30T06:51:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://kenhung.me/2017-08-23-thoughts-on-the-signal-and-the-noise.html | Posts
Kenneth Hung | Department of Mathematics | UC Berkeley
# Thoughts on "The signal and the noise"
I came across Nate Silver’s name in two past occasions: once when I was taking Stat 215a at Berkeley, another time during the 2016 elections. With some luxury of free time when I was interning in Chicago, I took the ... | 2017-12-11T22:27:35 | {"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://www.csam.or.kr/journal/view.html?uid=1947&&vmd=Full | TEXT SIZE
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Fused inverse regression with multi-dimensional responses
Youyoung Choa, Hyoseon Hana, Jae Keun Yoo1,a
aDepartment of Statistics, Ewha Womans University, Korea
Correspondence to: 1Department of Statistics, Ewha Womans University, 11-1 Daehyun-Dong Seodaemun-Gu, Seoul 120-750, Korea. E-mail: pe... | 2021-09-22T04:38:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 36, "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://formulasearchengine.com/wiki/Canonical_commutation_relation | # Canonical commutation relation
In quantum mechanics (physics), the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related by definition such that one is the Fourier transform of another). For example,
${\displaystyle [x,p_{x}]=i\hbar }$
betwe... | 2023-03-23T13:36:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 28, "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/1208957/linear-independence-of-vectors-and-solutions-to-systems-of-equations | # Linear independence of vectors and solutions to systems of equations
I am wondering whether the following argument is correct: "Let $V$ be a set of vectors in $\mathbb{R}^m$, $$V=\{v_1,v_2,…, v_n\}$$ Then if $n>m$, the vectors in $V$ are linearly dependent and $$λ_1v_1+λ_2v_2+ \ldots + λ_nv_n=0$$ has only the trivia... | 2020-11-26T12:04:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://aquazorcarson.wordpress.com/2013/04/21/necessary-or-sufficient-conditions-for-no-arbitrage/ | ## necessary or sufficient conditions for no-arbitrage
In work I have had to work with extending volatility surface interpolation and extrapolation models to fit market data. One question I kept asking myself is, what exactly is the significance of some sort of dynamics underlying the volatility movement in time? As s... | 2017-07-22T02:36:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 7, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://frnsys.com/ai_notes/scratch/novelty_surprise_search.html | # Gravina, D., Liapis, A., & Yannakakis, G. N. (2016). Surprise search: Beyond objectives and novelty. In Proceedings of the Genetic and Evolutionary Computation Conference. ACM.
The problem with using only a fitness function (i.e. an explicit objective) for evolutionary algorithms: local optima.
In the context of ev... | 2017-11-19T04:42:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 18, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-statistics/46216-another-goodness-fit-test-grrrr-print.html | # Another Goodness of Fit test....GRRRR
• August 18th 2008, 09:08 PM
sebchase0625
Another Goodness of Fit test....GRRRR
I'm so confused with this goodness of fit stuff. I'm trying to solve the following problem...can anyone help??
The safety director of Honda USA took samples at random from the file of minor accident... | 2015-12-01T01:30:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.reference.com/browse/wiki/Pseudo-Goldstone_boson | Definitions
# Pseudo-Goldstone boson
Pseudo-Goldstone bosons arise in a quantum field theory with an approximate symmetry such that if the symmetry were exact, then there would be spontaneous symmetry breaking (SSB) and the consequent formation of Goldstone bosons. The properties of these pseudo-Goldstone bosons can ... | 2013-06-19T21:45:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/geometry/CLONE-68e52840-b25a-488c-a775-8f1d0bdf0669/chapter-10-review-exercises-page-486/35 | ## Elementary Geometry for College Students (6th Edition)
We say that one corner of the triangle is at the origin, the base is of length a, and the two congruent sides are of length 2b. Thus: $a^2 + b^2 = (d_1)^2$ $a^2 + b^2 = (d_2)^2$ It follows: $(d_2)^2=(d_1)^2 \\ d_2=d_1$ Hence, the medians have equal lengths. | 2021-03-01T11:07:53 | {"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://www.stephenkinsella.net/tag/indifference-curve/ | Economics for Business Lecture 9: Production
The theory of production of commodities by means of commodities has a long history in economics. From the earliest recorded thinking about how households manage their inputs and outputs through to the modern day, the concern with how and why and what people produce in order... | 2014-09-19T05:47:50 | {"extraction_info": {"found_math": true, "script_math_tex": 18, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 18, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://math.stackexchange.com/questions/1859320/multiplicity-of-cartier-divisor-on-locally-noetherian-scheme-is-only-non-zero-at | # Multiplicity of Cartier divisor on locally noetherian scheme is only non-zero at generic point
I'm following chapter 7 in Qing Liu's book 'Algebraic Geometry and Arithmetic Curves' about 'Divisors and applications to curves'.
My question concerns Definition 1.27:
Let $A$ be a Noetherian local ring of dimension 1. ... | 2021-12-07T00:24:23 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.math.ias.edu/seminars/abstract?event=3085 | # Explicit Constructions of Bipartite Ramsey Graphs
COMPUTER SCIENCE/DISCRETE MATH SEMINAR, II Topic: Explicit Constructions of Bipartite Ramsey Graphs Speaker: Boaz Barak and Guy Kindler Affiliation: IAS Date: Tuesday, October 26 Time/Room: 10:30am - 12:30pm/S-101
The main goal of this talk will be to present a pro... | 2020-07-02T20:21:57 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://ask.sagemath.org/answers/46079/revisions/ | Note that the mapping is just taking the binary digits of the integer and using them as coefficients w.r.t. the basis $1,x,x^2,\ldots$
You can use the built-in integer_representation() method, or do the job manually:
sage: a = F.fetch_int(3) | 2021-03-02T16:51:17 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ck12.org/book/CK-12-Chemistry---Second-Edition/r13/section/22.3/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are reading an older version of this FlexBook® textbook: CK-12 Chemistry - Second Edition Go to the latest version.
# 22.3: Spontaneous Processes
Difficulty Level: At Grade Created b... | 2015-11-30T05:08:23 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/quick-limit-question.402759/ | # Quick limit question
1. May 12, 2010
### srfriggen
how do you calculate lim x-> inf 4^x/7^x+4
It seems obvious that the bottom is growing at a faster rate than the top, so the limit would be zero, but how would you show that algebraically? I tried using l'hopital and just wind up with:
4^x ln4 / 7^x ln7
and it ... | 2017-08-21T02:21:41 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
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