content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Existence of scales with special properties
up vote 4 down vote favorite
Let $\kappa$ be a singular cardinal, and let $\langle \kappa_i \mid i<\mathrm{cf}(\kappa) \rangle$ be an increasing sequence of regular cardinals cofinal in $\kappa$. Recall that a scale on $\Pi_{i<\
mathrm{cf}(\kappa)} \kappa_i$ is a sequence $\... | 5 | [
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... | 11,600 | 11600 | |
Point
If T is the orbital period, since the distance covered by the Earth each orbit is 2πr,
vT = 2π r
Divide by T
v = 2π r/T
Squ... | 4 | [
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Coefficient of Determination: A model Selection Criteria
$R^2$ pronounced R-Squared (Coefficient of determination) is a useful statistics to check the value of regression fit. $R^2$ measures the proportion of total variation about the mean $\bar{Y}$
explained by the regression. R is the correlation between $Y$ and $\h... | 4 | [
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Linear Algebra
May 2nd 2006, 07:14 PM #1
Member
Joined
Mar 2006
Posts
82
Linear Algebra
Hello,
I am doing my math homework, and I come across two problems I can't tend to do. Something always come up wrong. If anyone can help me, it is truly appreciated. Thank you so much.
I have to find the re... | 5 | [
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Car Contents Collision
Name: Leo M.
Status: educator
Age: 40s
Location: N/A
Country: N/A
Date: 9/12/2004
Question: This is a question about objects in a car accident. Say a car travelling at 60kmph... | 4 | [
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The ancient Greek riddle that helps us understand modern disease threats
Finding an Achilles' heel. Credit: Γιάννης Ζήσης
Even in the face of death, Zeno of Elea knew how to frustrate people. Arrested for plotting against the tyrant Demylus, the ancient Greek philosopher refused to co-operate. The story goes that,
ra... | 5 | [
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0.0231933593... | 11,605 | 11605 | |
Norms of Commutators
up vote 54 down vote favorite
28
If an $n$ by $n$ complex matrix $A$ has trace zero, then it is a commutator, which means that there are $n$ by $n$ matrices $B$ and $C$ so that $A= BC-CB$. What is the order of the best constant $\
lambda=\lambda(n)$ so that you can always choose $B$ and $C$ to sat... | 4 | [
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Eilenberg-Zilber map
Context
Homological algebra
Contents
Definition
Let $C : sAb \to Ch_\bullet^+$ be the chains/Moore complex functor of the Dold-Kan correspondence.
Let $(sAb, \otimes)$ be the standard monoidal category structure given degreewise by the tensor product on Ab and let $(Ch_\bullet^+, \otimes)$ be ... | 4 | [
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0.08007... | 11,607 | 11607 | |
An approximate infinite-dimensional fixed point theorem
up vote 4 down vote favorite
1
Given $\epsilon > 0$ and $f : [0, 1]^{\omega} \rightarrow [0, 1]^{\omega}$, can we find $x$ such that $x \in \textrm{Conv}\left( \left\{f(y) : ||y - x||_{\infty} < \epsilon\right\}\right)$?
In finite dimensions this is straightforw... | 5 | [
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Cosmological Constant - The Weight of the Vacuum -
T. Padmanabhan
5.1. Linear evolution of perturbations
When the perturbations are small, one can ignore the second term in the right hand side of (65) and replace (1 + [k](t) obtained by Fourier transforming t, x) with respect to x. Taking t, x) = D(t) f
(x), the D(t) ... | 4 | [
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Math Help
November 24th 2008, 06:23 PM #1
Newbie
Joined
Nov 2008
Posts
2
parabola
Place the following in standard quadratic form. (which is (x-h)+k ). The find the vertex, axis, domain, range, and zeroes.
(can be all done with a calculator, no work needed.)
1. f(x) = x^2-8x+16
2. f(x)=16-... | 4 | [
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A Complex Domain for Probability
Given two independent events X,Y with probabilities x,y (relative to some sample space S), let x' and y' denote the probabilities of {X U Y} and {X ∩ Y} respectively. These values are given by the
simple formulas
... | 4 | [
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Relative
Relative Scores
In this section, we will use some of the statistical information that you have already learned to solve the practical problem of how to indicate the relative standing of a person on a measure. As
part o... | 4 | [
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Homework Help
Posted by Candice on Saturday, July 14, 2012 at 4:44am.
A batsman hits a cricket ball 'off his toes' towards a fieldsman who is 65 m away. The ball reaches a maximum height of 4.9 m and the horizontal compoenent of its velocity is 28 m/s. Find the
constant speed with which the fieldsman must run forward,... | 4 | [
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How Discrete Signal Interpolation Improves D/A Conversion
How Discrete Signal Interpolation Improves D/A Conversion
Posted by Rick Lyons on May 28 2012 under Tips and Tricks
Earlier this year, for the Linear Audio magazine, published in the Netherlands whose subscribers are technically-skilled hi-fi audio enthusiast... | 4 | [
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Trigonometry Problems and Questions with Solutions - Grade 10
Grade 10 trigonometry problems and questions with answers and solutions are presented.
1. Find x and H in the right triangle below.
2. Find the lengths of all sides of the right tri... | 4 | [
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Artin-Mazur formal group
Context
Formal geometry
Group Theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Contents
Idea
Every variety in positive characteristic has a formal group attached to it, called the Artin-Mazur ... | 4 | [
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25: Static Equilibrium, Stability, Rope Walker
During the past four lectures, we have dealt with angular momentum, torques and rolling objects and rotations.
And many of you then think, "Oh, my goodness, now we have to remember a whole zoo of equations," but that's not true.
If you simply know how to make a conversio... | 5 | [
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Genetic weighted k-means algorithm for clustering large-scale gene expression data
Abstract
Background
The traditional (unweighted) k-means is one of the most popular clustering methods for analyzing gene expression data. However, it suffers three major shortcomings. It is sensitive to initial
partitions, its result ... | 4 | [
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Perform the indicated operation: (x^3+x^2+x/x-2x^2) / (x^3-1/1-3x+2x^2)Show step by step solution to explain the answer - Homework Help - eNotes.com
Perform the indicated operation: (x^3+x^2+x/x-2x^2) / (x^3-1/1-3x+2x^2)
Show step by step solution to explain the answer
`((x^3+x^2+x)/(x-2x^2))/((x^3-1)/(1-3x+2x^2))`
... | 4 | [
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... | 11,619 | 11619 | |
Choosing which answer is the best in a quotient derivative
July 17th 2010, 11:43 PM
firestarterut
Choosing which answer is the best in a quotient derivative
Hello Forum, This is my first post but I would like some help. I have the equation...
$(x^4+x^4+7)/(x^4+7x^4+1)$
Now I know I got the correct answ... | 5 | [
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0... | 11,620 | 11620 | |
Optimal change-carrying
Recently Michael left the following challenge in a comment:
I’ve been trying to optimize my change-carrying habits. What is the smallest amount of quarters, dimes, nickels and pennies one can carry while still being able to give perfect change (two
decimals)?
It’s not 100% clear what ... | 5 | [
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Roots 2 and 5
y = x - 2
y = x - 5
will graph as parallel lines through the points (2,0) and (5,0) with slope of 1.
T... | 4 | [
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... | 11,622 | 11622 | |
Maximizing a function over orthogonal matrices
October 26, 2008 8:26 AM Subscribe
Maximizing a function over orthogonal matrices, or: solving polynomial order 2 systems. Help me out or point me to a better forum / listhost.
I have a function f(T) of a matrix that I want to maximize, which is order two in the elemen... | 4 | [
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0.071777343... | 11,623 | 11623 | |
Simple differentiation problem using product rule
September 28th 2012, 06:59 PM #1
Newbie
Joined
Sep 2012
From
United States
Posts
10
Simple differentiation problem using product rule
I'm doing a seemingly simple problem for h.w
The question is to differentiate (u − squareroot of u)(u+ squareroo... | 5 | [
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... | 11,624 | 11624 | |
Mathmatics Question?? Powers and inequalities.
09-26-2004 #1
Mathmatics Question?? Powers and inequalities.
I'm going to attempt to ask an educated algebra question. Please forgive a bad translation.
Inequalities and Powers/Roots.
Legend:
() <-Power
[] <-Square Root
Solve:
the square of ... | 4 | [
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Application of Differentiation
Top
Sub The differentiation is the subfield of Calculus and there are various application of differentiation in real world. The differentiation is very important part of Math as it is used in many
Topics scientific fields. Differentiation can be defined as the process of finding the D... | 5 | [
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Eureka!
07-21-2010 #1
Okay, so I am absolutely obsessed with prime numbers, and for the past two years or so I've experimented with various schemes for detecting them (much to no avail). Well, last night I fell asleep
with my mind complete fixated on the problem (once again!). Suddenly, in the midst of a dream... | 4 | [
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... | 11,627 | 11627 | |
Factorising cubic polynomials through short division
April 8th 2009, 02:27 AM #1
Member
Joined
Aug 2008
Posts
179
Use short division to factorise x^3 - 5x^2 - 2x + 24.
I don't know how to use short division to factorise this cubic polynomial. I only know how to factorise it through long division. I... | 4 | [
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0.07373046875,
-0.042236328125,
-0.0373535156... | 11,628 | 11628 | |
Maclaurin series and Landau's big "Oh" problem.
September 23rd 2007, 02:22 PM #1
Newbie
Joined
Aug 2007
Posts
23
Maclaurin series and Landau's big "Oh" problem.
I have found the first 5 Taylor polynomials about x=0 for cosh(x). Being p0=1, p1=1, p2=1+ $\frac{1}{2}x^2$, p3=1+ $\frac{1}{2}x^2$, p4=1+ $\fra... | 5 | [
-0.001373291015625,
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0.0099487304... | 11,629 | 11629 | |
Example: Square Roots by Newton's Method
Next: Procedures as Black-Box Abstractions Up: The Elements of Programming Previous: Conditional Expressions and Predicates
Example: Square Roots by Newton's Method
Procedures, as introduced above, are much like ordinary mathematical functions. They specify a value that... | 4 | [
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-0.05932617187... | 11,630 | 11630 | |
Wavefront set of a product
up vote 2 down vote favorite
Let $H$ be the Heaviside function. If $f(x_1,x_2)=H(x_2)$ on $\mathbb{R}^2$, then $WF(f)=N^*\{x_2=0\}$. Similarly, if $g(x_1,x_2)=H(x_1^2-x_2)$, I think the wavefront set of $g$ is the conormal
bundle to the boundary curve $x_2=x_1^2$. But what's the wavefront se... | 5 | [
-0.009521484375,
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0.0419921875,
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-0.03857421875,
-0.0361328125,
0.08056640625,
-0.01708984375,
-0.046630859375... | 11,631 | 11631 | |
Defining a topology in the Power Set
up vote 2 down vote favorite
1
I have the follwing question:
1. Given a topological space $T$ is possible in general to give a topology to $2^T$ (the power set of $T$) such that this topology in $2^T$ is related to $T$.
2. If the answer in general is no, are there conditions ov... | 4 | [
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-0.05... | 11,632 | 11632 | |
function extensionality
Context
Type theory
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Contents
Idea
The principle of functional extensionality states that two functions are equal if their values are equal at every argument.
Definition in type theory
In i... | 4 | [
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0.0084228515625,
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0.0026397705078125,
... | 11,633 | 11633 | |
tion
The actual code of the rational.py module is displayed here, with commentary. This document is therefore an example of lightweight literate programming; see the author's Lightweight literate
programming page for more information about the tools and techniques used in this document.
The rational.py file starts wit... | 4 | [
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-0.03955078125,
0.04077148437... | 11,634 | 11634 | |
Example of symplectic and hamiltonian diffeomorphism on $S^2$ and $T^2$
up vote 4 down vote favorite
2
Hello everybody. For a purpose of consolidation of some result I am trying to set down, I need to construct an example to sustain the theory and I am looking for symplectic and Hamiltonian
diffeomorphisms. So does so... | 4 | [
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0.004791259765625,
0.0150146484375,
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-0.0245361328125,
-0.0732421875... | 11,635 | 11635 | |
Topological Defects in Cosmology - A. Gangui
5.2. CMB bispectrum from active models
Different cosmological models differ in their predictions for the statistical distribution of the anisotropies beyond the power spectrum. Future MAP and Planck satellite missions will provide
high-precision data allowing definite estim... | 4 | [
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-0.0908203125,
-0.... | 11,636 | 11636 | |
Vector Error Correction Model
A vector error correction model (VECM) can lead to a better understanding of the nature of any nonstationarity among the different component series and can also improve longer term forecasting over
an unconstrained model.
where is the differencing operator, such that ; , where and are mat... | 5 | [
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-0.053955078125,
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0.047... | 11,637 | 11637 | |
Testes de Estatística com Respostas - 40 testes de múltipla escolha selecionados a...
Testes de Estatística com Respostas
(Parte 1 de 5)
Testes de Bioestatística
1. In general, which of the following statements is FALSE?
(a) The sample mean is more sensitive to extreme values than the median.
(b) The sample range ... | 4 | [
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nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'Walls' printed from http://nrich.maths.org/
Christopher from Farnborough 6th Form College and Tim from Royds School solved this problem using different methods so here are both their solutions. Christopher found the Cartesian equations of bot... | 5 | [
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0.109375,
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0.01... | 11,639 | 11639 | |
Vectors – Project Physics Programmed Instruction
I
The Project Physics Course
Programmed Instruction
Vectors 1 The Concept of Vectors
Vectors 2 Adding Vectors
Vectors 3 Components of Vectors
INTRODUCTION
You are about to use a programmed text.
You should try to use this booklet where there
ore no dist... | 4 | [
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0.06... | 11,640 | 11640 | |
On Subtraction
Perchance you've by now stumbled upon a new method of subtraction that is allegedly being taught in elementary school, as part of the new "Common Core" recommendations:
For anyone used to the "borrow one" method (the "old fashion" way above), the "new" way might seem confusing at first. Subtraction thr... | 4 | [
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0.1196... | 11,641 | 11641 | |
M
In the magnitude handout, we distinguished between two different magnitudes: the apparent magnitude, which indicates how bring an object appears to be, and absolute magnitude, which indicates a
star’s true brightness, or luminosity. The only reason those two numbers are different for various stars is because every s... | 4 | [
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-0.0322265625,
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0.1005859375,
-0.040771484... | 11,642 | 11642 | |
Formal Logic
Now we are moving into more difficult material. Some of you are going to love it, and some of you probably are not. Those of you who like clear answers to questions are going to like it; some of the
material is a bit like solving math problems.
The good thing is that you were introduced to deductive logic... | 4 | [
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triangulation
Contents
Triangulation
A triangulation of a topological space $Y$ is a simplicial set $X$ together with a homeomorphism $h: R X \to Y$, where $R$ denotes the geometric realization functor.
(Usually, in classical algebraic and geometric topology, the $X$ here is taken to be a simplicial complex, but the... | 4 | [
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0.0... | 11,644 | 11644 | |
ME2302 DYNAMICS OF MACHINERY ANNA UNIVERSITY QUESTION BANK question papers
ME2302 : DYNAMICS OF MACHINERY question papers Previous Year Anna university question papers
DYNAMICS OF MACHINERY QUESTION BANK question papers Previous Year Anna university question papers
ANNA UNIVERSITY QUESTION BANK
PART – A (2 Marks Que... | 4 | [
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... | 11,645 | 11645 | |
The Second Derivative Test for Relative Maximum and Minimum - Problem 1
Brightstorm is like having a personal tutor for every subject
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The Second Derivative Test for Relative Maximum and Minimum - Problem 1 4,886 views
It is also possible to find relative maxima and minima... | 4 | [
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mit :: ai :: aim :: AIM-237
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
A, !♦ LABORATORY
Artificial Intelligence
Memo No. 237 - PRELIMINARY RELEASE September 1971
AN INQUIRY INTO ALGORITHMIC COMPLEXITY
Patrick E. Q'Neil*
This Research was begun at the I.8.M. Cambridge Scientific Center 1n 1968,
continued while the ... | 5 | [
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-0.02... | 11,647 | 11647 | |
how to caluculate APFC panel rating, my running Load is
1320KW, Present P
how to caluculate APFC panel rating, my running Load is
Question 1320KW, Present P.F 0.76 to 0.8 we need 0.98 p.f
Question Submitted By :: Mechanical-Engineering
I also faced this Question!! ... | 5 | [
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-0.018310546875,
-0.0742187... | 11,648 | 11648 | |
Homework Help
Posted by anon on Friday, February 11, 2011 at 4:50pm.
could you please show me the steps to solve this equation?I looked at the answer in the back of our textbook but i keep getting the wrong answer.
5(2y+1)-(5y-2)
answer=5y+7.
thanks so much!
• gr.10 math - Christina, Friday, February 11, 2011 at... | 4 | [
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0.0791015625,
-0.1240234375,
-0.046875,... | 11,649 | 11649 | |
Polarization
The influence of matter on the electric field, not the polarization of light
The electromagnetic field in the absence of matter, that is, in the "vacuum," is excellently described classically by Maxwell's theory, which is relativistically correct, in terms of the fundamental
field vectors E and B. There ... | 4 | [
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-0.018798828125,
-0.10... | 11,650 | 11650 | |
R Tutorials--Probability Distributions
PROBILITY DISTRIBUTIONS, QUANTILES, CHECKS FOR NORMALITY
Probability Distributions
R has density and distribution functions built-in for about 20 probability distributions, including those in the following t... | 5 | [
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0.0546875,
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0.078125,
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0.06591796875,
0.00439453125,
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0.038330078125,
-0.043457031... | 11,651 | 11651 | |
Homework Help
Posted by vmu on Sunday, November 27, 2011 at 12:08am.
The perpendicular bisector of the line joining the points D(1,2) and E(5,4) meets the y-axis at the point (0,k).calculate k
• maths - Steve, Sunday, November 27, 2011 at 5:25am
First, find the midpoint of DE: ((1+5)/2,(2+4)/2) = (3,3)
No... | 4 | [
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-0.0751953125,
-0.02392578125,... | 11,652 | 11652 | |
Calc
www.delorie.com/gnu/docs/calc/calc_21.html search
GNU Emacs Calc 2.02 Manual
[ < ] [ > ] [ << ] [ Up ] [ >> ] [Top] [Contents] [Index] [ ? ]
3.... | 5 | [
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Divergence in everything: mixing rates for finite Markov chains
This is the first post in a series aobut the versatility and the power of the good old Kullback-Leibler divergence.
(image yoinked from Sergio Verdú‘s 2007 Shannon Lecture slides)
Today... | 4 | [
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-0.0283203125... | 11,654 | 11654 | |
Lorentz Force
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Lorentz Force 10,488 views
Lorentz force is the force on charge in electromagnetic field. Lorentz force is determined by the formula F = qv x B, in which q is the charge, v is the velocity, and B ... | 5 | [
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-... | 11,655 | 11655 | |
Solving Equations that Equal Zero
Date: 02/26/97 at 21:58:17
From: Thomas G. Morton, Jr.
Subject: Help with Algebra
Dear Dr. Math:
My son is in the 8th grade. I am trying to help him with his algebra
but I really need some pointers.
For example:
(1) (5x+10)(7x-2) = 0 How do I solve it for x?
(2) 3x(2x-1)(x+2) ... | 4 | [
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0.008544... | 11,656 | 11656 | |
IOI: A Medium Problem
Here is another, medium-level problem from the IOI. (Parental advisory: this is not quite as easy as it may sound!)
I think of a number between 1 and N. You want to guess the secret number by asking repeatedly about values in 1 to N. After your second guess, I will always reply "hotter" or "cold... | 5 | [
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-0.10107421875,
-0.0228271484375,
0.05029296875,
-0.01708984375,
-0.018798828125,
-0.018798828125,
0.00579833984375,
-0.02... | 11,657 | 11657 | |
Selecting Crystals For Stable Oscillators
Understanding how quartz-crystal resonators operate can lead to designing crystal oscillators with improved stability and better noise performance.
What is in this article?:
• Electrical specifications
Electrical specifications
In selecting a crystal, a designer should be... | 4 | [
-0.01068115234375,
-0.041259765625,
0.01129150390625,
-0.004486083984375,
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0.0625,
-0.04345703125,
-0.006103515625,
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0.083984375,
0.0201416015625,
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-0.04345703125,
0.05615234375,
0.0211181640... | 11,658 | 11658 | |
Examples of the Fundamental Counting Principle
Date: 02/17/2001 at 12:00:47
From: Diana
Subject: The Counting Principle and Tree Diagrams
I have a math problem that I can't figure out. I tried making a tree
diagram but it makes no sense. I would really appreciate it if you can
show me how to answer this question. Th... | 4 | [
0.10107421875,
-0.0120849609375,
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0.0206298828125,
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0.05322265625,
0.01153564453125,
0.10693359375,
-0.0908203125,
-0.0... | 11,659 | 11659 | |
Income Elasticity of Demand
The Income Elasticity of Demand measures the rate of response of quantity demand due to a raise (or lowering) in a consumers income. The formula for the Income Elasticity of Demand (IEoD) is given
by:
IEoD = (% Change in Quantity Demanded)/(% Change in Income)
Calculating the Income Elasti... | 4 | [
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0.045166015625,
0.00982666015625,
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0.01495361328125,
0.042236328125,
0.01708984375,
0.0152587890625,
-0.0016326904296... | 11,660 | 11660 | |
Complex Structure
Represents a complex number.
Namespace: System.Numerics Assembly: System.Numerics
(in System.Numerics.dll)
The Complex type exposes the following members.
Name Description
Complex Initializes a new instance of the Complex structure using the sp... | 5 | [
-0.10888671875,
0.03173828125,
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0.0279541015625,
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... | 11,661 | 11661 | |
How to Shuffle an Array (Correctly)
Today at a career fair, an Amazon recruiter asked me how to shuffle an array. Sounds like an easy problem, right? It turns out a good majority of people posting code to the internet get it wrong. But
before reading on, try it out yourself, see what you come up with, and then Google f... | 4 | [
-0.050048828125,
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-0.01507568359375,
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0.0118408203125,
-0.0498046875,
0.008178... | 11,662 | 11662 | |
Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
Abstract
Using the Kuratowski measure of noncompactness and progressive estimation method, we obtain the existence results of mild solutions for impulsive partial neutral second-order functional
integro-... | 5 | [
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-0... | 11,663 | 11663 | |
Converting Repeating Decimals into Fractions
Date: 06/25/2008 at 13:02:11
From: Sarah
Subject: Converting repeating decimals into fractions
How do you convert repeating decimals (in which only one number at the
end is repeating) into fractions?
ex. 0.91666666666666...
ex. 0.38888888888888...
ex. 0.84733333333333...
... | 4 | [
-0.01446533203125,
-0.054443359375,
0.04736328125,
-0.024658203125,
-0.0284423828125,
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0.0308837890625,
-0.0024566650390625,
-0.0274658203125,
-0.056640625,
0.11474... | 11,664 | 11664 | |
Measures of Dispersion
Date: 6/30/96 at 1:24:37
From: Anonymous
Subject: Measures of Dispersion
Good day!
I'm from Manila, Philippines. My question is:
What are the different characteristics of these different measures of
dispersion:
a.) Range
b.) Mean Absolute Deviation
c.) Standard Deviation
d... | 4 | [
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0.01513671875,
0.0751953125,
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-0.001220703125,
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0.02294921875,... | 11,665 | 11665 | |
definable set
Contents
Definition
Definability is most often considered only for a first-order language $L$ (not a theory); a definable set is an equivalence class of formulas which evaluate in the same way in every $L$-structure. It
makes sense to do the same for a theory: in that case in the definition of the equiv... | 4 | [
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0.03759765625,
0.054443359375,
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0.04443359375,
-0.0849609375,
... | 11,666 | 11666 | |
Classification of $p$-groups of order $p^n$ with rank $n-1$
up vote 5 down vote favorite
2
Hello, i've been looking for a way to classify the non-trivial $p$-groups $G$ that live in an exact sequence of the form $ 0 \rightarrow \mathbb{Z}/p\mathbb{Z} \rightarrow G \rightarrow (\mathbb{Z}/p
\mathbb{Z})^{n-1} \rightarro... | 5 | [
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... | 11,667 | 11667 | |
Building a Geometric figure with Mathematica.
Not too long ago I wrote here a small piece on creating beautiful figures, I was trying to explain a non trivial example on how to use METAPOST a system created by John D Hobby to build a geometric
figure.
I was reading a blog post by Chris Carlson of Wolfram Research nam... | 5 | [
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0.0615234375,
-0.049072265625,
-0.026367187... | 11,668 | 11668 | |
Do Super Quick Maths Calculation Using Vedic Method
Teaching Mental Maths Tricks to Anyone and Everyone!
Learning to perform fast mental maths calculation will help you immensely irrespective of which field of life you deal with.Knowing these mental maths tricks will give you a positive edge over the
others.Whether yo... | 4 | [
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... | 11,669 | 11669 | |
Math Forum Discussions - Re: Dynamic application of several polynomials
Date: Mar 16, 2013 3:14 AM
Author: Bob Hanlon
Subject: Re: Dynamic application of several polynomials
x = Range[27000]/27001.;
f = {25.62, -38.43, 21.81}/9;
Clear[y];
y = (f.#^{3, 2, 1} &) /@ x;
ListLinePlot[y]
polynomials =
Map[{9 - #[[1]] - ... | 4 | [
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-0.016845703125,
0.0023956298828125,
0.038330078125,
-0.09228515625,
-0... | 11,670 | 11670 | |
Adjustment Equations
Proposed Molad Adjustment Equations
[Click here to go back to the Hebrew Calendar Studies home page]
The Molad adjustments documented herein have been superseded by the simpler and more accurate Progressive Molad of the rectified Hebrew calendar. This web page is retained as an archive, and beca... | 4 | [
-0.0299072265625,
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-0.01239013671875,
-0.012451171875,
-0.01544189453125,
-0.045654296875,
-0.0976... | 11,671 | 11671 | |
Multiplicity of eigenvalues of the Laplacian on quaternionic projective space
up vote 4 down vote favorite
5
Using the classic spherical harmonics theory, one obtains the $k$-th eigenvalue of the $n$-dimensional round sphere $S^n$ to be $k(k+n-1)$, and its multiplicity is $\binom{n+k}{k}-\binom{n+k-1}{k-1}
$, see e.g.... | 4 | [
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-0.01422119140625,
... | 11,672 | 11672 | |
Compound Interest and Annuities
Annuities or Amortization
The present value P and the rent R of a decreasing annuity of n payments (rent) compounded at a rate i per interest period.
Also called amortization when the payments are equal and at a regular time inter... | 5 | [
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0.059814453125,
... | 11,673 | 11673 | |
The Naughty "Student" of Beer
William Sealy Gosset had a problem. At his work with the Guinness brewery, he could only take a small number of samples in order to control quality. (I'm talking about sampling during intermediate
beer-making steps, not necessarily the end product!)
Gosset had other problems: He was a stu... | 5 | [
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-0.036376953125,
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0.048095703125,
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-0.083984375,
0.0286865234375,
-0.... | 11,674 | 11674 | |
Torsion in homology or fundamental group of subsets of Euclidean 3-space
up vote 38 down vote favorite
18
Here's a problem I've found entertaining.
Is it possible to find a subset of 3-dimensional Euclidean space such that its homology groups (integer coefficients) or one of its fundamental groups contains an element... | 4 | [
-0.027587890625,
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0.0... | 11,675 | 11675 | |
Posts about Require introductory level university maths on Bubbles Bad; Ripples Good
In preparing some lecture notes for the implicit function theorem, I took a look at Schechter’s delightfully comprehensive Handbook of Analysis and its Foundations (which you can also find on his
website), and I learned something new a... | 5 | [
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0.0537109375,
0.01171875,
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0.034423828125,
0.0400390625,
-0.01507568359375,
-0.06591796875,
-0.05078125,
... | 11,676 | 11676 | |
Math Problem....
11-04-2002
NANO
OOOOh My God...
Hi everybody ...
I just came back from my trip... it is very nice to see all these answers... Thanx for everybody ...
I was in Getty Musiam , and I advice you all to visit it http://www.getty.edu it was a nice long tirp...
I will read your answers n... | 5 | [
-0.021484375,
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-0.0191650390625,
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0.032958984375,
0.123046875,
0.02490234375,
0.01220703125,
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0.042724609375,
-0.0341796875,
0.03759765625,
-0.0771484375,
-0.020751953125... | 11,677 | 11677 | |
A nonparametric random coefficient approach for life expectancy growth using a hierarchical mixture likelihood model with application to regional data from North Rhine-Westphalia (Germany)
Abstract
Background
Life expectancy is of increasing prime interest for a variety of reasons. In many countries, life expectancy ... | 4 | [
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0.08837890625,
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-0.0439453125,
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-0.053955078125,
... | 11,678 | 11678 | |
Algebraic curve cannot suddenly end
up vote 12 down vote favorite
3
This is a literature request for (hopefully) an English version to a rigorous proof that a complex algebraic curve cannot abruptly end.
That is, if the algebraic curve enters a closed region it must also leave it.
This has a historic significance be... | 4 | [
-0.033203125,
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-0.0712890625,
-0.05322265625,
-0.... | 11,679 | 11679 | |
Proving an Inequality
September 4th 2008, 10:32 AM #1
Junior Member
Joined
Feb 2008
Posts
48
Proving an Inequality
So i did this last week, and nailed it. The teacher hasn't given it back yet and I was trying to do it again, now I'm stuck.
I need to prove that
$[\dfrac{1}{2}(a+b)] ^2\leq \dfrac... | 4 | [
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0.08837890625,
0.052978515625,
-0.05615234375,
0.11865234375,
0.08837890625,
... | 11,680 | 11680 | |
Introduction to turbulence/Statistical analysis
From CFD-Wiki
(Difference between revisions)
(→Fluctuations about the mean) (→Fluctuations about the mean)
← Older edit ... | 4 | [
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... | 11,681 | 11681 | |
Can we find strong fixed-points in the fixed-point lemma of Gödel's incompleteness theorem, that is, where the fixed point is syntactically identical to its substitution instance rather than merely provably equivalent to it?
up vote 19 down vote favorite
3
At Graham Priest's talk for the CUNY set theory seminar yeste... | 4 | [
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0.05126953125,
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0.09765625,
0.00107574462890625,
-0.0439453125,
0.01... | 11,682 | 11682 | |
Regridding reconstruction algorithm for real-time tomographic imaging
Volume 19
Part 6 Regridding reconstruction algorithm for real-time tomographic imaging
Pages
1029-1037
November
2012 Sub-second temporal-resolution tomographic microscopy is becoming a reality at third-generation synchrotron sou... | 4 | [
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0.00604248046875,
-0.02197265625,
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-0.1611328125,
-0.0015335083007... | 11,683 | 11683 | |
Quantifying Brooks Mythical Man-Month
Abstract
Brooks Law states: “Adding manpower to a late software project makes it later.” This Law is applicable to any task involving lots of people in complex interaction. The only evidence Brooks provides
is anecdotal: “Since software construction is complex, the communications ... | 4 | [
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0.078125,
-0.01397705078125,
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0.00546264648... | 11,684 | 11684 | |
The Law of Small Numbers
In insurance, the law of large numbers (named loi des grands nombres initially by Siméon Poisson, see e.g. http://en.wikipedia.org/…) is usually applied to legitimate large portfolios, because of
pooling and diversification: the larger the pool, the more ‘predictable’ the losses will be (in a ... | 4 | [
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0.02392578... | 11,685 | 11685 | |
Computed Tomography (CT Scanning)
Computed Tomography (CT Scanning)
(Editor's note: this page was written with lots of help from Cat Scan (who is not a radiologist or a piece of X-ray equipment, but who often pu... | 4 | [
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-0.009... | 11,686 | 11686 | |
Infinite series: not quite as weird as some would say
Updated with a third footnote clarifying my use of the term “diverge,” thanks to suggestion by Evelyn Lamb, who has also written an excellent discussion of the problem with the video. At the end of
this post I list all the critiques I’ve found so far.
I feel like... | 5 | [
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S
5. THE STELLAR MASS DENSITY TODAY
With the help of some simple stellar population synthesis tools we can now set a lower limit to the total stellar mass density that produced the observed EBL, and constrain the cosmic history of star
birth in galaxies. One of the most serious uncertainties in this calculation is th... | 4 | [
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© CAMBRIDGE UNIVERSITY PRESS 1999
3. THE ISOTROPIC UNIVERSE
3.1 The Robertson-Walker Metric
To the relativist, cosmology is the task of finding solutions to Einstein's field equations that are consistent with the large-scale matter distribution in the universe. Modern observational
cosmology has demonstrated t... | 4 | [
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trigonometric graph
September 25th 2008, 04:03 PM #1
Junior Member
Joined
Aug 2008
Posts
60
1. The curve above is the graph of a sinusoidal function. It goes through the point
2.The curve above is the graph of a sinusoidal function. It goes through the points
1. looks like a -sine curve
... | 4 | [
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Groups G and G', M is a normal subgroup of G'
July 14th 2013, 03:32 PM #1
Member
Joined
Jun 2012
From
Georgia
Posts
179
Thanks
22
Groups G and G', M is a normal subgroup of G'
We are given:
1. h: G -> G' is a group homomorphism.
2. M is a normal subgroup of G'.
3. N is the set of x in... | 4 | [
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Tutorial 5
Tutorial 5: Consumer choice (cont.)
The Budget Constraint
In the first part of Tutorial 5 we learned that a consumer seeks a bundle of goods, a market basket, the consumption of which generates the maximum happiness (utility). Graphically, such a basket is
found on the indifference curve as far from the or... | 4 | [
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Algebra
Date: 5/10/96 at 10:26:55
From: Anonymous
Subject: Algebra
Find the domain, range, and zeros of
g(x) = x^2 - 6x + 4
Date: 10/17/96 at 12:51:17
From: Doctor Leigh
Subject: Re: Algebra
The domain of a function is all the values of x that can be put into
the function. In this case the domain is all rea... | 4 | [
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Ball-screw rigidity is a matter of definition
Not all ball-screw makers spec products the same way.
George A. Jaffe
Executive Vice President
Steinmeyer Inc.
Bedford, Mass.
Alexander F. Beck
President
Steinmeyer GmbH
Germany
Stiffness or rigidity is a key factor in evaluating ball-screw drives for specific needs. Rig... | 4 | [
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infinitesimal interval object
## Background *
homotopy theory
*
algebraic topology
,
simplicial homotopy theory
*
homotopy
*
homotopy type
## Variations *
stable homotopy theory
*
proper homotopy theory
*
directed homotopy theory
## Definitions *
homotopy
*
Pi-algebra
,
spherical object and Pi(A)-a... | 4 | [
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statistics (science) :: Estimation of a population mean
statistics
Article Free Pass
Estimation of a population mean
The most fundamental point and interval estimation process involves the estimation of a population mean. Suppose it is of interest to estimate the population mean, μ, for a quantitative variable.
Data... | 4 | [
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Scientific Papers - Vi
1913] FINE SLITS IN THIN OPAQUE SCREENS 175
At the centre of the aperture (77 = 0),
(61) = 26 {7-1 +log^'6}, and at the edges (77 = + 6),
(61) = 26 [7-l + log-i6}.
It may be remarked that in (61), the real part varies with 77, although the im... | 4 | [
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Chapter IV
4.1.1 Basic rules of integration:
4.1.2 Table of standard Integrals:
Example 1. EXERCISES 1031 - 1050
Applying Basic Rules 1, 2, 3 and the formulae of integration, find the integrals:
4.1.3 Integration under the sign of th... | 5 | [
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The Stambaugh Bias in Panel Predictive
Regressions
The Stambaugh Bias in Panel Predictive Regressions
NOTE: International Finance Discussion Papers are preliminary materials circulated to stimulate discussion and critical comment. References in publications to International Finance Discussion Papers
(other than an ... | 4 | [
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