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https://opendsa.cs.vt.edu/ODSA/Books/Everything/html/SequentialRep.html | Register
# 18.3. Sequential Tree Representations¶
## 18.3.1. Sequential Tree Representations¶
Next we consider a fundamentally different approach to implementing trees. The goal is to store a series of node values with the minimum information needed to reconstruct the tree structure. This approach, known as a sequen... | 2020-08-05T11:06:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://xplaind.com/133739/future-value-of-ordinary-annuity | # Future Value of Ordinary Annuity
An ordinary annuity is a finite stream of equal equidistant cash flows that occur in arrears.
It’s 1st January 2018 and you have decided to save $1,000 each month for next three months to save enough money to start your MBA program. But you can make your first deposit only on 31st J... | 2018-06-18T11:19:48 | {"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... |
https://math.stackexchange.com/questions/2287534/how-may-we-evaluate-the-closed-form-for-int-0-pi-4xn-sqrt1-sin2x-ma | # How may we evaluate the closed form for $\int_{0}^{\pi/4}x^n\sqrt{1+\sin(2x)}\mathrm dx=n!+F(n)?$
Proposed: An approximation to n factorial in terms of $\pi$
$$\int_{0}^{\pi/4}x^n\sqrt{1+\sin(2x)}\mathrm dx=n!+F(n)\tag1$$ $n\ge1$
Where $F(n)$ is expressed in terms of $\pi$ for $n\ge2$
We notice that $$\lim_{n\to ... | 2019-10-22T10:56:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://insightr.wordpress.com/2019/08/13/basic-quantile-regression/ | ## Basic Quantile Regression
By Gabriel Vasconcelos
## Introduction
Today we are going to talk about quantile regression. When we use the lm command in R we are fitting a linear regression using Ordinary Least Squares (OLS), which has the interpretation of a model for the conditional mean of $y$ on $x$. However, som... | 2019-12-15T23:53:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 14, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://getricher.in/2014/cagr-compounded-annual-growth-rate/ | # CAGR or Compounded Annual Growth Rate – What is it?
If you see various websites which track the performance of Mutual Funds or Stocks, you would have seen this term thrown around – CAGR. CAGR stands for Compounded Annual Growth Rate. CAGR is a very useful concept to understand how much your investment has grown on a... | 2019-02-16T19:26:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 4, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://2021.help.altair.com/2021.2/hwsolvers/ms/topics/solvers/ms/modeling_feedback_control_systems.htm | # Model Feedback Control Systems
## Generating Linearized Plant Models
Control system design often begins with the linearized plant model. Given the inputs and outputs, MotionSolve can automatically linearize a complex multibody model and generate the state space form which is suitable for control packages:(1)
$\begi... | 2023-02-08T09:48:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 7, "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://stacks.math.columbia.edu/tag/0ARA | Proof. We already know the functor is fully faithful, see Lemma 86.23.2. Essential surjectivity. Let $g : W \to X_{/T}$ be a morphism of formal algebraic spaces with $W$ locally Noetherian and $g$ rig-étale. We will prove $W$ is in the essential image in a number of steps.
Step 1: $W$ is an affine formal algebraic spa... | 2021-03-04T12:20:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathspace.co/textbooks/syllabuses/Syllabus-1063/topics/Topic-20649/subtopics/Subtopic-269131/?textbookIntroActiveTab=guide | Middle Years
# 4.09 Simple interest
Lesson
It costs money to borrow money. The extra money that banks and other lenders charge us to borrow money is called interest. Interest may also refer to the additional money that is earned from investing money, such as into a savings account. There are different types of inter... | 2021-12-03T00:19:24 | {"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://amininima.wordpress.com/2013/05/12/not-that-good-will-hunting/ | ## Not That Good, Will Hunting
Many of you have probably seen or heard of the movie Good Will Hunting, starring eminent actors Stellan Skarsgård, Matt Damon and Robin Williams.
I am not going to give a long film review though I will briefly need to set context for the problem.
Will Hunting (played by Matt Damon) is a... | 2017-10-20T19:57:13 | {"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": 0, "img_math": 115, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://sci-gems.math.bas.bg:8080/jspui/handle/10525/2913 | Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2913
Title: A Basic Result on the Theory of Subresultants Authors: Akritas, Alkiviadis G.Malaschonok, Gennadi I.Vigklas, Panagiotis S. Keywords: Euclidean AlgorithmEuclidean Polynomial Remainder Sequence (prs)Modified Euclidean prsSu... | 2019-07-21T19:10:46 | {"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://sysmath.cjoe.ac.cn/jssc/EN/abstract/abstract11110.shtml | • article •
### INVARIANT DENSITY, LYAPUNOV EXPONENT, AND ALMOST SURESTABILITY OF MARKOVIAN-REGIME-SWITCHING LINEAR SYSTEMS
Qi HE, Gang George YIN
1. Department of Mathematics, Wayne State University
Qi HE;Gang George YIN. INVARIANT DENSITY, LYAPUNOV EXPONENT, AND ALMOST SURESTABILITY OF MARKOVIAN-REGIME-SWITCHING ... | 2023-02-09T01:58:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1934347/substitution-yielding-linear-function-for-least-squares-fitting | # Substitution yielding linear function for least squares fitting
I have an independent variable $\delta$ and dependent set of statistical classified data $\widehat{\Lambda }(\delta)$. The model I want to fit to this data is: $$\Lambda (\delta )=Ae^{-k\delta}*f(k)$$ There are many cases but for this example we assume:... | 2020-02-23T02:42:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codegolf.stackexchange.com/questions/109657/sum-the-powers-that-be/109659#109659 | # Sum the powers that be
A simple but hopefully not quite trivial challenge:
Write a program or function that adds up the kth powers dividing a number n. More specifically:
• Input: two positive integers n and k (or an ordered pair of integers, etc.)
• Output: the sum of all of the positive divisors of n that are kt... | 2022-10-07T18:59:02 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://rosalind.info/problems/ba1d/ | # Find All Occurrences of a Pattern in a String solved by 886
July 29, 2015, 12:29 a.m. by Rosalind Team
In this problem, we ask a simple question: how many times can one string occur as a substring of another? Recall from “Find the Most Frequent Words in a String” that different occurrences of a substring can overla... | 2018-10-23T23:54:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 2, "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://openstudy.com/updates/50c1ee89e4b016b55a9e487f | ## UnkleRhaukus 2 years ago laplace transform of a periodic functions
1. UnkleRhaukus
2. Outkast3r09
What is this you're doing lol
3. UnkleRhaukus
i have taken the Laplace transform of some periodic functions i dont know how to check if i have done it right
4. UnkleRhaukus
i have used $\mathcal L\{f(x)\}=\int\li... | 2014-12-19T01:40:22 | {"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://crypto.prof.ninja/class19/ | Class 19: Lattice Reductions
I'm going to use these old SAGE notes for most of this, but here is my plan and a FLAG:
NOTES ON CLOUD.SAGEMATH.COM (now cocalc)
• What's a lattice?
• GCD is actually mini lattice reduction
• The Knapsack Problem with LLL
• Minimal Polynomials
What's a Lattice
It's all integer combinat... | 2019-12-08T11:16:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/176252/how-to-handle-big-powers-on-big-numbers-e-g-n915937897123891 | # How to handle big powers on big numbers e.g. $n^{915937897123891}$
I'm struggling with the way to calculate an expression like $n^{915937897123891}$ where $n$ could be really any number between 1 and the power itself.
I'm trying to program (C#) this and therefor performance is key.
I tried
for(i <= 9159378971238... | 2019-07-16T19:15:25 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cstheory.stackexchange.com/questions/3161/oracle-relative-to-which-ma-does-not-have-a-complete-problem | # Oracle relative to which MA does not have a complete problem?
Babai introduced a hierarchy of complexity classes based on public-coin randomized interactive proof systems, so called Arthur-Merlin games. The game is played by powerful but untrustworthy wizard Merlin (the prover), and the king Arthur (the verifier), w... | 2019-10-23T02:03:36 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://slideplayer.com/slide/5302757/ | # 4-2 Basic Concepts of Probability This section presents three approaches to finding the probability of an event. The most important objective of this section.
## Presentation on theme: "4-2 Basic Concepts of Probability This section presents three approaches to finding the probability of an event. The most important... | 2020-02-22T10:44:24 | {"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... |
https://www.physicsforums.com/threads/ode-y-b-2-y-0-where-b-is-vector.596484/ | # ODE y''+b^2 y=0 where b is vector
1. Apr 14, 2012
### mogul
Hi,
I have a ODE
$y'' - b^2 y =0$
also the result should be
$y=C e^{\pm bx}$
but what is the result when b is vector?
$\vec b=(b_x, b_y)$
is this the result?
$y=C e^{\pm \vec{b}x}$
or this?
$y=C e^{\pm |b| x}$
how to solve it?
thanks for help!
2. Ap... | 2017-08-17T06:57:21 | {"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://www.sparrho.com/item/on-the-guionnet-jones-shlyakhtenko-construction-for-graphs/887994/ | # On the Guionnet-Jones-Shlyakhtenko construction for graphs
Research paper by Vijay Kodiyalam, V. S. Sunder
Indexed on: 24 Mar '10Published on: 24 Mar '10Published in: Mathematics - Operator Algebras
#### Abstract
Using an analogue of the Guionnet-Jones-Shlaykhtenko construction for graphs we show that their const... | 2020-10-28T12:10:24 | {"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://www.lofoya.com/Solved/2288/which-of-the-following-is-not-true | # Section-1: Critical Path Solved QuestionLogical Reasoning Discussion
Common Information
Two days (Thursday and Friday) are left for campaigning before a major election, and the city administration has received requests from five political parties for taking out their processions along the following routes.
Table b... | 2017-03-26T22:50:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.neverendingbooks.org/category/france | # Category: france
Fortunately, there are a few certainties left in life:
In spring, you might expect the next instalment of Connes’ and Consani’s quest for Gabriel’s topos. Here’s the latest: $\overline{\mathbf{Spec}(\mathbb{Z})}$ and the Gromov norm.
Every half year or so, Mochizuki’s circle-of-friends tries to cr... | 2020-09-26T05:28:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/watch-that-satellite-being-launched/ | Watch that satellite being launched!
Calculate the work that is done in Joules in launching a satellite of mass 1000 kg into an orbit above the Earth, at an elevation equal to the radius of the Earth?
Details and Assumptions
• Earth’s mass = $6\times 10^{24}$ kg
• Earth’s radius = $6.4 \times 10^6$ m
• You may assum... | 2021-06-21T11:11:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.cheenta.com/isi-mstat-psb-2006-problem-1-inverse-of-a-matrix/ | Select Page
This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 1 based on Inverse of a matrix. Let’s give it a try !!
## Problem– ISI MStat PSB 2006 Problem 1
Let A and B be two invertible $n \times n$ real matrices. Assume that $A+B$ is invertible. Show that $A^{-1}+B^{-1}$ is also invertible.
... | 2020-09-26T02:19:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.oracletutoring.ca/blog/?p=3871 | # Tutoring math, you cover this topic with students in late middle school or early high school. The math tutor shows the first case.
Rationalizing the denominator is done when there’s a radical on the bottom of a fraction. Consider the following:
Example 1: Simplify 7/(2√(3))
Solution:
To rationalize the denomina... | 2018-03-25T05:30:00 | {"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://quant.stackexchange.com/tags/delta/new | # Tag Info
## New answers tagged delta
1
For Black-Scholes, $\Delta_C=\partial_{S} C=N(d_1)$, $d_1= \frac{\ln\left(\frac{S_t}{K}\right) + \left(r + \frac{\sigma^2}{2}\right)(T - t)}{\sigma\sqrt{T - t}}$ You may fit the volatility $\sigma$ to this term by $$\Delta_C({\hat{\sigma}})=0.25$$Note that $\Delta_P=1-\Delta_... | 2014-07-10T03:58:14 | {"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://www.physicsforums.com/threads/inelastic-collision-of-ball-with-rotating-beam-juggling-robot.605801/ | # Inelastic collision of ball with rotating beam (juggling robot)
1. May 13, 2012
1. The problem statement, all variables and given/known data
I'm trying to build a "juggling" robot but I'm getting stuck on the dynamics of catching. The robot follows the dynamics and terminology of a similar one presented in the att... | 2017-10-17T05:56:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://freedocs.mi.hdm-stuttgart.de/sd1_sect_junitDetails.html | No. 116
#### Summing up integers to a given limit
Q: Suppose an arbitrary number n is given e.g n=5. We want to compute the sum of all integers ranging from 1 to 5: 1 + 2 + 3 + 4 + 5 = 15 Implement the following method by using a loop:/** * Summing up all integers starting from 0 up to and including a given limit * ... | 2019-05-26T13:18:42 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/calculus/course/4-1-related-rates-applications-of-derivatives-by-openstax?qcr=www.quizover.com&page=5 | # 4.1 Related rates (Page 6/7)
Page 6 / 7
The radius of a sphere is increasing at a rate of 9 cm/sec. Find the radius of the sphere when the volume and the radius of the sphere are increasing at the same numerical rate.
$\frac{1}{2\sqrt{\pi }}$ cm
The base of a triangle is shrinking at a rate of 1 cm/min and the ... | 2020-02-20T08:13:46 | {"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... |
https://www.enotes.com/homework-help/implicit-differentiation-368694 | # Find dy/dx for the problem below bu using IMPLICIT DIFFERENTIATION only. x^y=y^x
Luca B. | Certified Educator
calendarEducator since 2011
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You should take logarithms both sides such that:
`ln(x^y) = ln(y^x)`
Using logarithmic properties yields:
`y*ln x = x*ln y ... | 2020-08-03T21:16:48 | {"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://worksheets.tutorvista.com/parametric-equations-and-calculus-worksheet.html | To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)
# Parametric Equations and Calculus Worksheet
Parametric Equations and Calculus Worksheet
• Page 1
1.
Find the arc length of the curve $x$ = $t$2, $y$ = $t$3 for 1 ≤ $t$ ≤ 2.
a. $\frac{1}{27}\left(80\sqrt{10}+13\sqrt{13}\right)$ units b. $\frac{1}{27}... | 2017-09-19T11:42:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 90, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/area-of-a-circle-by-integration.676672/ | # Homework Help: Area of a circle by integration
1. Mar 6, 2013
### E'lir Kramer
My curiosity was piqued by another poster who's trying to find the area of a lune using calculus.
I wanted to do this now. So I don't highjack his thread, I'm making a new post about it.
First, the geometric picture of a lune that con... | 2018-07-19T15:55:32 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/finding-the-solutions-to-a-quadratic-equation-with-a-complex-conjugate.599911/ | # Finding the solutions to a quadratic equation with a complex conjugate
1. Apr 24, 2012
### Cottontails
1. The problem statement, all variables and given/known data
Find all solutions to z^2 + 4conjugate[z] + 4 = 0 where z is a complex number.
2. Relevant equations
Alternate form: 4conjugate[z] + z^2 = -4
3. The ... | 2017-08-22T13:33:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/finding-the-second-derivative.377881/ | # Homework Help: Finding the second derivative
1. Feb 12, 2010
### illegalvirus
1. The problem statement, all variables and given/known data
Find the exact value of f''(2) if f(x)=$$\sqrt{3x-4}$$
2. Relevant equations
See above
3. The attempt at a solution
I've tried to use the product rule to differentiate.
f... | 2018-12-16T21:52:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1077169/stopped-process-of-brownian-motion | # Stopped process of Brownian motion
I am baffled about the following problem:
Let $(B_t)$ be a standard Brownian motion. Let $$\tau:= \inf\{ t \geq 0 :B_t = x \} \wedge \inf\{ t \geq 0 :B_t = -y \}$$ be a stopping time, where $x,y >0$. I am eager to know why the stopped process $(B_{t \wedge \tau})_{t \geq 0}$ is U.... | 2019-10-17T05:16:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathlesstraveled.com/2016/01/23/the-chocolate-bar-game-losing-positions-proved/ | ## The chocolate bar game: losing positions proved
In my last post I claimed that the losing positions for the chocolate bar game are precisely those of the form $(x_2, x111\dots 1_2)$ (or the reverse), that is, in binary, positions where one coordinate is the same as the other with any number of $1$ bits appended. So... | 2019-01-17T16:57:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 107, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://testbook.com/question-answer/in-a-mechanism-the-number-of-instantaneous-centre--5fad09b5508b8aebc3dff74a | In a mechanism, the number of Instantaneous centres (I-centres) N is
This question was previously asked in
ESE Mechanical 2020 Official Paper
View all UPSC IES Papers >
1. $$\frac{{n\left( {n - 1} \right)}}{2}$$
2. $$\frac{{n\left( {2n - 1} \right)}}{2}$$
3. $$\frac{{2n\left( {n - 1} \right)}}{3}$$
4. $$\frac{{n\left(... | 2022-01-22T05:27:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019228?viewType=html | # American Institute of Mathematical Sciences
October 2020, 25(10): 3983-3999. doi: 10.3934/dcdsb.2019228
## Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
1 Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 1... | 2021-01-16T06:13:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Talk:Adequality | WikiProject Mathematics (Rated C-class, Mid-priority)
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
... | 2016-09-26T15:27:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 314, "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/m... |
https://indico.fysik.su.se/event/1788/ | Welcome to the new Indico service!
KTH/Nordita/SU seminar in Theoretical Physics
# Macroscopic quantum contextuality
## by Prof. Adan Cabello (University of Sevilla)
Europe/Stockholm
FA31 ()
### FA31
Description
Quantum mechanics is supposedly universal. That is, applicable to any physical system on which experime... | 2020-01-29T01:04:36 | {"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.shaalaa.com/textbook-solutions/c/ncert-solutions-mathematics-exemplar-class-9-chapter-8-quadrilaterals_6691 | NCERT solutions for Mathematics Exemplar Class 9 chapter 8 - Quadrilaterals [Latest edition]
Chapters
Exercise 8.1Exercise 8.2Exercise 8.3Exercise 8.4
Exercise 8.1 [Pages 73 - 75]
NCERT solutions for Mathematics Exemplar Class 9 Chapter 8 Quadrilaterals Exercise 8.1 [Pages 73 - 75]
Choose the correct alternative:
... | 2023-03-25T07:19:33 | {"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://discuss.codechef.com/t/strsub-editorial/10098 | # STRSUB - Editorial
Author: Lalit Kundu
Tester: Hiroto Sekido
Editorialist: Kevin Atienza
SIMPLE
### PREREQUISITES:
Dynamic programming, preprocessing, binary search, cumulative sums
### PROBLEM:
You are given a string S of length N consisting only of 0 s and 1 s. You are also given an integer K.
You have to an... | 2021-03-09T04:39:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/key-concepts-glossary-25/ | ## Key Equations
Horizontal ellipse, center at origin $\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}=1,\text{ }a>b$ Vertical ellipse, center at origin $\frac{{x}^{2}}{{b}^{2}}+\frac{{y}^{2}}{{a}^{2}}=1,\text{ }a>b$ Horizontal ellipse, center $\left(h,k\right)$ $\frac{{\left(x-h\right)}^{2}}{{a}^{2}}+\frac{{\left(y-... | 2019-09-18T07:57:06 | {"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.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-10-review-exercises-page-1126/91 | ## Precalculus (6th Edition) Blitzer
The probability is $\frac{2}{13}$.
We know that there are fifty-two outcomes in a $52$ card deck, so $\text{n}\left( \text{S} \right)=\text{ 52}$. There are four outcomes when the pulled card is an ace, so $\text{n}{{\left( \text{E} \right)}_{\text{an ace}}}=\text{ 4}$. The probabi... | 2021-04-18T15:54:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Definition:Particular_Point_Topology/Finite | # Definition:Particular Point Topology/Finite
## Definition
Let $S$ be a set which is non-empty.
Let $p \in S$ be some particular point of $S$.
Let $T = \struct {S, \tau_p}$ be the particular point space on $S$ by $p$.
Let $S$ be finite.
Then $\tau_p$ is a finite particular point topology, and $\struct {S, \tau_p... | 2020-12-03T02:05:44 | {"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://math.stackexchange.com/questions/3145386/strange-recurrence-relation-and-limit | # strange recurrence relation and limit
$$a_{n+1}=\frac{a_n+b_n}{2}$$
$$b_{n+1}=\sqrt{a_{n+1}b_{n}}$$
also, $$a_1=a$$ and $$b_1=b$$
can someone find $$\lim_{n\to\infty}a_{n}$$ This question is from guillaume musso's novel. I remember that the answer included $$\arccos$$ thing..
• Which novel, by the way? – J.G. Ma... | 2019-05-23T18:05:44 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.hackmath.net/en/math-problem/368 | # Denominator
Calculate the missing denominator x:
$\dfrac{ 264 }{ 96} = \dfrac{ 11} { x}$
Result
x = 4
#### Solution:
$x = \dfrac{ 11 \cdot 96 }{ 264 } = 4$
Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spe... | 2020-02-28T06:11:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.mathnet.ru/php/archive.phtml?jrnid=sm&wshow=issue&year=1986&volume=172&volume_alt=130&issue=2&issue_alt=6&option_lang=eng | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archiv... | 2020-06-04T12:43:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://pos.sissa.it/414/883/ | Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Top quark and EW Physics
Observation of associated production of top quarks with the ATLAS experiment
S. Korn
Full text: Not available
Abstract
The large dataset accumulated by the ATLAS detector at a centre of mass energy of $\sqrt{s}=13\,... | 2022-10-06T03:39:15 | {"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://personale.unimore.it/rubrica/pubblicazioni/spaggiar | Nuova ricerca
Fulvia SPAGGIARI Professore Associato presso: Dipartimento di Scienze Fisiche, Informatiche e Matematiche sede ex-Matematica
## Pubblicazioni
2021 - On reduced complexity of closed piecewise linear 5-manifolds [Articolo su rivista]
Cavicchioli, Alberto; Spaggiari, Fulvia
abstract
The goal of this pape... | 2021-06-19T12:36:13 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathhelpboards.com/threads/definition-proofs.4855/ | # Definition proofs
#### Carla1985
##### Member
Hi, I have my exam tomorrow and have been doing the practice questions. However we dont get the answers to these questions so I am lost as to whether I am doing them right, also I am stuck at a few points, particularly with the definition questions.
$1.)Prove\ lim_{x \... | 2021-07-29T18:31:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41467-017-00936-3?error=cookies_not_supported&code=4c0cac4a-5c7c-4994-b8e5-2135cc5fc94f | Article | Open | Published:
# Distance-dependent inhibition facilitates focality of gamma oscillations in the dentate gyrus
## Abstract
Gamma oscillations (30–150 Hz) in neuronal networks are associated with the processing and recall of information. We measured local field potentials in the dentate gyrus of freely m... | 2019-05-26T07:46:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/4d8128881a5a8b0ba7357dfe | ## anonymous 5 years ago how do you get the power series of 2/((x-1)^3)?
1. anonymous
i know it involves calc.
2. anonymous
You can use the formula from geometric series, knowing that [1/(1-x)] is equal to the sum from 0 to infinity of x^n, provided that the absolute value of your x is less than 1. Just reformulate... | 2017-01-19T09:27:25 | {"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://mfleck.cs.illinois.edu/study-problems/basics/logic-3a-sol.html | # Logic: Problem 3a
### Straightforward solution
Here's one solution to the problem, which conveys the two conditions in a straightforward way:
$$(\exists x \in A,\ P(x)) \ \text{ and } \ (\neg \exists y,z \in A, \ P(y)\ \wedge P(z)\ \wedge\ y \not = z )$$
The parentheses aren't strictly necessary. But they are goo... | 2018-01-22T00:19:16 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://m.hanspub.org/journal/paper/38359 | # 基于秩的逼近的张量鲁棒主成分分析Tensor Robust Principal Component Analysis via Non-Convex Rank Approximation
Abstract: In this paper, a new tensor rank approximation is proposed and a non-convex TRPCA model is established. An effective augmented Lagrangian multiplier optimization algorithm is used to solve this non-convex minimizat... | 2021-09-22T13:40:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 98, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/what-does-it-mean-for-a-linear-approximation-to-be-reliable.872890/ | # Homework Help: What does it mean for a linear approximation to be reliable?
1. May 22, 2016
### Dusty912
1. The problem statement, all variables and given/known data
In regards to linearization of a nonlinear system in differential equations. What does it mean for a linear approximation to be reliable to describe ... | 2018-03-25T04:11:36 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.maths.usyd.edu.au/u/pubs/publist/preprints/2015/thomas.html | ## Dimensions of affine Deligne-Lusztig varieties: a new approach via labeled folded alcove walks and root operators
### Elizabeth Milićević, Petra Schwer and Anne Thomas
#### Abstract
Let $$G$$ be a reductive group over the field $$F=k((t))$$, where $$k$$ is an algebraic closure of a finite field, and let $$W$$ be ... | 2017-10-23T11:28:33 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-statistics/155574-student-t-distribution-gaussian-distribution.html | Math Help - Student T-Distribution or Gaussian Distribution
1. Student T-Distribution or Gaussian Distribution
Hey guys
Ok the background is this, I have 1500 observation and after I "compressed" the data using a stat package, I was given 20 observation.
The question is, should i be using the Gaussian distribution ... | 2016-07-27T10:25:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:1183.20050 | # zbMATH — the first resource for mathematics
Representations of algebraic groups of type $$D_n$$ in characteristic 2 with small weight multiplicities. (English. Russian original) Zbl 1183.20050
J. Math. Sci., New York 161, No. 4, 558-564 (2009); translation from Zap. Nauchn. Semin. POMI 365, 182-195 (2009).
Summary: ... | 2021-10-21T05:37:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://institutionalmarkets.com/l8nwzpk/variance-vs-standard-deviation-4bd4f2 | Short Method to Calculate Variance and Standard Deviation. 365 Data Science Standard Deviation vs Variance. Before going into the details, let us first try to understand variance and standard deviation. In this tutorial, I will explain how to measure variability using Range, Variance, Standard Deviation. All »Tutorials... | 2022-01-24T23:15:50 | {"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://www.physicsforums.com/threads/3rd-order-differential-eqn-wronskian.160180/ | # 3rd order differential eqn (wronskian)
1. Mar 10, 2007
### glitchy
y''' + 25y' = csc(5x)
i got the y (complimentary) = C1 + C2cos5x + C3sin5x. I'm just having minor difficulties getting the y (particular).
Last edited: Mar 11, 2007
2. Mar 11, 2007
### HallsofIvy
Staff Emeritus
Only minor difficulties? I don't ... | 2016-12-10T16:49:17 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/how-do-you-solve-the-system-of-equations-algebraically-1-3x-3-2y-4-5x-4y-14 | # How do you solve the system of equations algebraically 1/3x-3/2y=-4, 5x-4y=14?
Jan 19, 2017
$y = 4 , x = 6$
#### Explanation:
$\frac{1}{3} x - \frac{3}{2} y = - 4$$\textcolor{w h i t e}{a a}$$- - - - -$(1)
$5 x - 4 y = 14$$\textcolor{w h i t e}{a a a a a}$$- - - - -$(2)
$2 x - 9 y = - 24 \textcolor{w h i t e}{a a... | 2020-06-07T07:17:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 24, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1986065/how-to-solve-y-frac-yt-3-cos2t-t0-using-variation-of-parameters | # How to solve: $y'+\frac yt=3\cos2t$, $t>0$ (using variation of parameters)?
How to solve: $y'+\frac yt=3\cos2t$, $t>0$ (using variation of parameters)? I know the solution using the integrating factor method, which is $\frac ct+\frac{3\cos2t}{4t}+\frac{3\sin2t}2$.
The given differential equation can be written as $... | 2019-08-23T02:09:34 | {"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://www.nature.com/articles/s41598-020-76893-7?error=cookies_not_supported&code=f1df497c-c584-401e-a907-bd9d1fa2335e | Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | 2021-11-27T04:01:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://hackage.haskell.org/package/simple-sessions-0.1/docs/src/Control-Concurrent-SimpleSession-SessionTypes.html | \section{Session Types in Haskell} \label{sec:session} \ignore{
> {-# LANGUAGE TypeOperators,
> MultiParamTypeClasses,
> FunctionalDependencies,
> UndecidableInstances #-}
> module Control.Concurrent.SimpleSession.SessionTypes (
> Z, S,
> Eps, (:!:), (:?:), (:+:), (:&:), Rec, ... | 2015-01-31T08:54:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nips.cc/Conferences/2019/Schedule?showEvent=13267 | `
( events) Timezone: »
Poster
Tue Dec 10 10:45 AM -- 12:45 PM (PST) @ East Exhibition Hall B + C #145
You Only Propagate Once: Accelerating Adversarial Training via Maximal Principle
Dinghuai Zhang · Tianyuan Zhang · Yiping Lu · Zhanxing Zhu · Bin Dong
Deep learning achieves state-of-the-art results in many tasks ... | 2021-09-23T08:01:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://hal.in2p3.fr/in2p3-00456970 | Measurement of the Top Pair Production Cross Section in the Dilepton Decay Channel in ppbar Collisions at sqrt s = 1.96 TeV
Abstract : A measurement of the $\ttbar$ production cross section in $\ppbar$ collisions at $\sqrt{{\rm s}}$ = 1.96 TeV using events with two leptons, missing transverse energy, and jets is repor... | 2020-09-18T16:30:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.m.wikipedia.org/wiki/1/2_%E2%88%92_1/4_%2B_1/8_%E2%88%92_1/16_%2B_%E2%8B%AF | # 1/2 − 1/4 + 1/8 − 1/16 + ⋯
In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + · · · is a simple example of an alternating series that converges absolutely.
It is a geometric series whose first term is 1/2 and whose common ratio is −1/2, so its sum is
$\frac12-\frac14+\frac18-\frac{1}{16}+\cdots=\frac{1/2... | 2013-05-23T13:22:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://assert.pub/arxiv/q-bio/q-bio.qm/ | ### Top 10 Arxiv Papers Today in Quantitative Methods
##### #1. Diffusion Kurtosis Imaging maps neural damage in the EAE model of multiple sclerosis
###### Andrey Chuhutin, Brian Hansen, Agnieszka Wlodarczyk, Trevor Owens, Noam Shemesh, Sune Nørhøj Jespersen
Diffusion kurtosis imaging (DKI), is an imaging modality tha... | 2018-11-16T12:12:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/cartesian-product-definitions.958970/ | # I Cartesian Product Definitions
#### Calculuser
I was studying Group Theory on my own from a mathematics journal and got confused at some point where it defines Cartesian products, from binary one, say ($A × B$), to n-tuples one, say ($A_1 × A_2 × ... × A_n$). What confuses me when I tried to read it is that the de... | 2019-07-19T23:21:49 | {"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": 2, "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/1849907/proving-if-lim-n-rightarrow-inftya-n-l-then-lim-n-rightarrow-infty-fr | # Proving if $\lim_{n\rightarrow\infty}a_n=L$ then $\lim_{n\rightarrow\infty} \frac{a_1+a_2+\cdots+a_n}n=L$ [duplicate]
Problem:
Suppose $\lim_{n\rightarrow\infty}a_n =L$ then $\lim_{n\rightarrow\infty}\ \frac{a_1+a_2+\cdots+a_n}n=L$
I've tried this:
$| a_n-L|<\varepsilon\Rightarrow L-\varepsilon<a_n<L+\varepsilon$... | 2019-08-19T02:01:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bigfloat.readthedocs.io/en/v0.3.0/ | # The bigfloat package — high precision floating-point arithmetic¶
Release v0.3.0.
The bigfloat package is a Python wrapper for the GNU MPFR library for arbitrary-precision floating-point reliable arithmetic. The MPFR library is a well-known portable C library for arbitrary-precision arithmetic on floating-point numb... | 2019-08-26T00:14:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://or.stackexchange.com/questions/4019/same-values-constraint-and-grouping-of-variables?noredirect=1 | # Same values constraint and grouping of variables
In a linear program, I would like some variables to: 1. Take the same values 2. Group some variables i.e. some variables should take same values or lie within certain percentage. 3. All different values
The objective function is given by:
• You specified $x_i \ge 0$... | 2020-12-03T20:20:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.studyadda.com/sample-papers/neet-sample-test-paper-16_q46/205/276084 | • # question_answer Heat of neutralization of strong acid and strong base is constant and equal to A) 8.7 kcal B) 13.7 kcal C) 23.7 kcal D) 30.7 kcal
The heat of neutralization for strong acid and strong base is constant and is equal to -13.7 kcal. It involves the comb... | 2019-10-16T00:27:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://neatpour.com/employer-address-ufkgmi/viewtopic.php?tag=b7ba9e-linear-regression-formula-derivation | # linear regression formula derivation
|
Derivation of simple linear regression formula. Simple Linear Regression Least Squares Estimates of 0 and 1 Simple linear regression involves the model Y^ = YjX = 0 + 1X: This document derives the least squares estimates of 0 and 1. Frank Wood, fwood@stat.columbia.edu Linear R... | 2021-03-05T06:34:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quant.stackexchange.com/questions/58253/can-i-use-the-sharpe-ratio-as-an-objective-function-in-algorithmic-trading | # Can I use the Sharpe Ratio as an objective function in algorithmic trading?
I’m experimenting with custom loss functions for different trading rules and have come across a few articles citing success in directly using the (negative) Sharpe Ratio as a loss function, particularly within neural networks.
Intuitively, ... | 2021-04-12T01:45:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/164905/are-there-rngs-whose-rngs-of-matrices-are-commutative | # Are there rngs whose rngs of matrices are commutative?
If $R$ is a unital ring and $M_{2\times 2}(R)$ is a commutative ring, then $R$ is a trivial ring because if $$\begin{pmatrix}0 & 1 \\ 0 & 0\end{pmatrix}=\begin{pmatrix}1 & 0 \\ 0 & 0\end{pmatrix}\begin{pmatrix}0 & 1 \\ 0 & 1 \end{pmatrix}=\begin{pmatrix}0 & 1 \\... | 2015-05-25T20:04:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Heights%2C-ranks-and-regulators-of-abelian-varieties-Pazuki/5546a409dab0df34c39571d2fa19df94c327d55e | • Corpus ID: 118546075
# Heights, ranks and regulators of abelian varieties
@article{Pazuki2015HeightsRA,
title={Heights, ranks and regulators of abelian varieties},
author={Fabien Pazuki},
journal={arXiv: Number Theory},
year={2015}
}
• F. Pazuki
• Published 16 June 2015
• Mathematics
• arXiv: Number Theory
We lower... | 2022-08-14T15:18:31 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/functionals-operators.724946/ | # Functionals / operators
1. Nov 25, 2013
### gentsagree
Are functionals a special case of operators (as written on Wiki)?
Operators are mappings between two vector spaces, whilst a functional is a map from a vector space (the space of functions, say) to a field [or from a module to a ring, I guess]. Now, the field... | 2017-11-21T20:23:52 | {"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": 2, "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/198345/integration-by-substitution-r-tan-theta | # Integration by substitution $r=\tan\theta$
Let's calculate the integration
$$\int_{0}^{\infty}\frac{r^{n-1}}{(1+r^2)^{(n+1)/2}}dr.$$
then let $r=\tan\theta$,
according to my book, its result is
$$\int_{0}^{\pi/2}\sin^{n-1}\theta d\theta.$$
but my calculation is
$$\int_{0}^{\pi/2}\cos^{2}\theta \sin^{n-1}\theta... | 2015-10-05T00:19:34 | {"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://deepai.org/publication/boosting-randomized-smoothing-with-variance-reduced-classifiers | # Boosting Randomized Smoothing with Variance Reduced Classifiers
Randomized Smoothing (RS) is a promising method for obtaining robustness certificates by evaluating a base model under noise. In this work we: (i) theoretically motivate why ensembles are a particularly suitable choice as base models for RS, and (ii) em... | 2022-01-29T12:36:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/algebra-2-1st-edition/chapter-1-equations-and-inequalities-1-5-use-problem-solving-strategies-and-models-1-5-exercises-skill-practice-page-37/8 | ## Algebra 2 (1st Edition)
$l=19$
Given Information: perimeter formula is $P=2l+2w$, $P=46$ inches, $w=4$ inches, and $l$ is unknown. $P=2l+2w$ $46=(2l)+(2\times4)$ $46=2l+8$ $38=2l$ $l=19$ | 2021-03-06T11:36:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lmlcr.gagolewski.com/hierarchical-methods.html | ## 7.3 Hierarchical Methods
### 7.3.1 Introduction
In K-means, we need to specify the number of clusters, $$K$$, in advance.
What if we don’t know it?
There is no guarantee that a $$(K+1)$$-partition is “similar” to the $$K$$-one.
Hierarchical methods, on the other hand, output a whole hierarchy of mutually nested... | 2020-03-29T08:38:05 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://plainmath.net/20289/solve-exponential-and-logarithmic-equations-log_-8-x-plus-5-log_-8-equal | Question
# Solve exponential and logarithmic equations \log_{8}(x+5)-\log_{8}(x-2)=1
Decimals
Exponential and Logarithmic Equations Solve the equation. Find the exact solution if possible. otherwise, use a calculator to approximate to two decimals.
$$\displaystyle{{\log}_{{{8}}}{\left({x}+{5}\right)}}-{{\log}_{{{8}}}... | 2021-09-22T00:16:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homeworkhelper-in.com/math/question15623157 | , 26.02.2020 16:10, rishi1087
Other questions on the subject: Math
Which greatest 7 digit numberis exactly divisible by 72
Math, 18.08.2019 23:00, bhavya1650
Root 3 into 1 + tan 15 equal to 1 minus 10 15 prove that$$prove\: \: that \\ \sqrt{} 3(1 + tan \: 15) = 1 - tan \: 15$$ | 2021-07-23T15:10:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://coalitiontheory.net/content/societies-choosing-social-outcomes-and-their-memberships-strategy-proofness | # On societies choosing social outcomes, and their memberships: strategy-proofness
Article
Author/s:
Gustavo Bergantiños, Jordi Massó, Alejandro Neme
Social Choice and Welfare
Issue number:
April 2017, Volume 48, Issue 4
Publisher:
Springer
Year:
2017
Journal pages:
857-875
We consider a society whose members have to ... | 2021-09-28T22:53:44 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/linked/5 | 915 views
### Prove that there do not exist nonzero integers $a$ and $b$ such that $a^2=3b^2$. [duplicate]
Well, by intuition, of course there is doesn't exist any nonzero integers, but how would you prove that? I was thinking of doing the GCD of $a$ and $b$ is $1$, but that leads me to nowhere.
658 views
### Can a^... | 2021-03-06T17:30:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.shaalaa.com/question-bank-solutions/construct-triangle-xyz-which-y-30-z-90-xy-yz-zx-11-some-constructions-triangles_37907 | # Construct a Triangle Xyz in Which ∠Y = 30°, ∠Z = 90° and Xy + Yz + Zx = 11. - Mathematics
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11.
#### Solution
Steps of construction:
Step 1: Draw a line segment AB of 11cm.
Step 2: Draw∠DAB = Y = 30° and ∠FBA = ∠Z = 90°
Step 3: Draw the angle bi... | 2023-03-30T08:29:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/help-finding-integral-of-trigonometric-function.736291/ | # Help finding integral of trigonometric function
1. Feb 3, 2014
### student93
1. The problem statement, all variables and given/known data
4∫tan(x^2)dx from 0 to √(π)/2
2. Relevant equations
4∫tan(x^2)dx from 0 to √(π)/2
3. The attempt at a solution
I tried doing u-substitution, which didn't work, and also tri... | 2018-03-23T06:15:16 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/?level=6422&weight=2&char_order=1&atkin_lehner_string=%2B%2B%2B | ## Results (4 matches)
Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 13 19
6422.2.a.m $$3$$ $$51.280$$ 3.3.169.1 None $$-3$$ $$-2$$ $$-2$$ $$1$$ $$+$$ $$+$$ $$+$$ $$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
6422.2.a.z $$4$$ $$51.280$$ 4.4.10273.1... | 2021-11-27T06:36:44 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/what-is-a-solution-to-the-differential-equation-dy-dx-1-sec-2y#324334 | # What is a solution to the differential equation dy/dx=1/sec^2y?
Oct 20, 2016
$y = {\tan}^{- 1} \left(x + C\right)$
#### Explanation:
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{1}{\sec} ^ 2 y$
This is a first order separable Differential Equation; so we can "separate the variables" to give:
$\int {\sec}^{2} y \mat... | 2022-01-23T16:06:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.sciencemadness.org/talk/viewthread.php?action=printable&tid=65303 | ## Solvation of ionic compounds in water: basic theory and examples
blogfast25 - 11-2-2016 at 14:10
::Topics::
1. Gibbs Free Energy of dissolution
1.1. Entropy of dissolution
1.2. Enthalpy of dissolution
2. Solubility limits and Solubility products
2.1. Hydrolysis and pH effects
2.2. Common ion effect
2.3. Ionic ... | 2019-04-22T16:05:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://planetmath.org/RestrictedLieAlgebra | # restricted Lie algebra
###### Definition 1.
Given a modular Lie algebra $L$, that is, a Lie algebra defined over a field of positive characteristic $p$, then we say $L$ is restricted if there exists a power map $[p]:L\rightarrow L$ satisfying
1. 1.
$(\operatorname{ad~{}}a)^{p}=\operatorname{ad~{}}(a^{[p]})$ for a... | 2019-03-20T04:47:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 27, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/feeds/question/36784 | Are there alternative proofs for existence/uniqueness of ODE solutions? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-18T20:07:28Z http://mathoverflow.net/feeds/question/36784 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36784/are-there-alternative-proofs-... | 2013-05-18T20:07:28 | {"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://physics.stackexchange.com/questions/484186/how-to-know-how-the-self-energy-changes-the-mass | # How to know how the self-energy changes the mass?
Suppose we have a Green's function of the typical form
$$$$G(k)=\frac{1}{k^2-m^2-\Sigma(k)}$$$$ where $$\Sigma(k)$$ is the self energy of that particle. How exactly can we figure out how the self-energy modifies the effective mass of the particle? Some books always ... | 2019-08-20T00:36:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/350291/spectral-process-for-the-ornstein-uhlenbeck-process | # Spectral process for the Ornstein-Uhlenbeck process
The Ornstein-Uhlenbeck process $X(t)$ is a centered, Gaussian process with covariance function $$B(s,t) = e^{-\vert t-s \vert /2}$$
The spectral measure is abs. cont. w.r.t. the Lebesgue measure with density
$$f(\lambda) = \frac{1}{2\pi} \frac{1}{\lambda^2+1/4}$$... | 2015-08-28T00:20:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://abrahamphysics.com/mechanicsNext/public/module.php?module=11 | # Mechanics
calculus-based physics for scientists and engineers
## Vectors: Ordered Set Notation
### Ordered Set Notation for Vectors: Introduction
Since you can translate a vector wherever you like, you can translate it so that its tail is at the origin of a coordinate system. The location of the tip uniquely defi... | 2021-06-23T21:25:41 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/162177/building-transformation-matrix-from-spherical-to-cartesian-coordinate-system | # building transformation matrix from spherical to cartesian coordinate system
How to arrive at the following from given $x = r\sin \theta \cos \phi, y = r\sin \theta \sin \phi, z=r\cos\theta$
$$\begin{bmatrix} A_x\\ A_y\\ A_z \end{bmatrix} = \begin{bmatrix} \sin \theta \cos \phi & \cos \theta \cos \phi & -\sin\phi\\... | 2014-08-29T16:09:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cstheory.stackexchange.com/questions/10790/density-of-distinct-satisfying-assignments-for-uniquely-satisfiable-formulas | # Density of distinct satisfying assignments for uniquely satisfiable formulas
Motivated by the NP-completeness of Another-SAT problem, Another-3SAT={$(\phi, m)$: 3CNF formula $\phi$ has a satisfying assignment different from $m$ }, Let us consider a function from all uniquely satisfiable Horn 3SAT formulas on $n$... | 2022-08-17T04:55:06 | {"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... |
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