content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Posts about Wavenumber on Twisted One 151's Weblog
We have previously discussed the Fourier transform (here and here, especially). In this post, we noted that (using the symmetric angular convention) the space transform for an n dimensional space is
$\tilde{f}(\mathbf{k})=\frac{1}{(2\pi)^{n/2}}\int_{\mathbb{R}^n}f(\mat... | 4 | [
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-... | 13,600 | 13600 | |
Examine The Effects Of Random Noise On Jitter
Timing jitter and noise are among the least understood engineering concepts, yet they are among the most critical parameters in analog and digital designs. Especially in high-speed communications
systems, poor jitter performance can cause increased bit-error rates and limit... | 4 | [
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A191317 - OEIS
A191317 Number of dispersed Dyck paths of length n (i.e. Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDUs, where U=(1,1) and D=(1,-1). 1
1, 1, 2, 3, 5, 8, 14, 23, 40, 67, 117, 198, 346, 590, 1032, 1769, 3096, 5328, 9329, 16103, 28205, 48801, 85500, 148216, 259733, 4509... | 5 | [
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homotopy BV-algebra
Contents
Homotopy theory for $A_\infty$-algebras
homotopy theory for $A_\infty$-algebras
for $V$ a complex with the structure of an $A_\infty$-algebra and for $V \to W$ a morphism of chain cmoplexes, we get an induced $A_\infty$-structure on $W$.
Application: for $V$ a differential graded algebr... | 4 | [
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entropy
entropy, the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work. Because work is obtained from ordered molecular motion, the amount of entropy is also
a measure of the molecular disorder, or randomness, of a system. The concept of entropy provides deep insight in... | 4 | [
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... | 13,604 | 13604 | |
group presentation
Presentations of groups
Idea
In trying to study a group $G$, one way to proceed is to
• look for a set of generating elements;
• look for ‘relations’ between those elements.
The problem is partially how one is to interpret this second part. To do this we need to look at words in the generato... | 4 | [
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Turbulence intensity
From CFD-Wiki
(Difference between revisions)
Jola (Talk | contribs) Peter (Talk | contribs)
← Older edit
... | 4 | [
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NA Digest Sunday, April 4, 1993 Volume 93 : Issue 14
NA Digest Sunday, April 4, 1993 Volume 93 : Issue 14
Today's Editor:
Cleve Moler
The MathWorks, Inc.
moler@mathworks.com
Submissions for NA Digest:
Mail to na.digest@na-net.ornl.gov.
Information about NA-NET:
Mail to na.help@na-net.ornl.gov.
--... | 4 | [
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Support vector machines: The linearly separable case
Next: Extensions to the SVM Up: Support vector machines and Previous: Support vector machines and Contents Index
Support vector machines: The linearly separable case
For two-class, separable training data sets, such as the one in Figure 14.8 (page ), there... | 4 | [
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convex hull of finite set is compact
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
In a Banach space, is the convex hull of finite set compact?
banach-spaces
This question is unlikely to help any future visitors; it is... | 5 | [
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Connectivity of a Graph
up vote 2 down vote favorite
1
int dfs(int graph[MAXNODES][MAXNODES],int visited[],int start) {
int stack[MAXNODES];
int top=-1,i;
visited[start]=1;
stack[++top]=start;
while(top!=-1)
{
start=stack[top];
for(i=0;i<MAXNODES;i++) {
if(graph[start][i]&&visited[i]==... | 4 | [
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The sum of the first n odd numbers is always a square
The sum of the first n odd numbers is always a square
I was staring at the checked pattern on the back of an airline seat the other day when I suddenly saw that the sum of the first
n
odd numbers is always a square. For example,
1
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3... | 4 | [
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A plethysm formula for $p\sb µ(\underline x)\circ h\sb \lambda(\underline x)$
Doran, William F., IV (1997) A plethysm formula for $p\sb µ(\underline x)\circ h\sb \lambda(\underline x)$. Electronic Journal of Combinatorics, 4 (1). R14. ISSN 1077-8926. http://
resolver.caltech.edu/CaltechAUTHORS:DORejc97
PDF
See Usa... | 4 | [
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Hyperbolic Functions
Date: 10/14/98 at 00:04:55
From: Anne Weber
Subject: Trig Functions using exponentials
A. What do cosh(x) and sinh(x) stand for? Why are they called this?
These functions occur naturally in the physical sciences. Give one
example of where they might occur.
B. What is the value of sinh(2)?... | 4 | [
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one-parameter subgroup and geodesics on Lie group
up vote 5 down vote favorite
4
Hi,
Given a Matrix Lie Group, I would like to know if the one-parameter subgroups (which can be written as $\exp^{tX}$) are the same as the geodesics (locally distance minimizing curves). Geodesics
depends on the metric used so perhaps a... | 4 | [
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0... | 13,614 | 13614 | |
Math Forum Discussions
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Topic: Solving Second Order Homogeneous Diff Eq
Replies: ... | 4 | [
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-... | 13,615 | 13615 | |
cdeaglejr
Although I’m not a big fan of COTS software, I do use open-source or public domain source code software from reputable organizations. I prefer source code because I can examine the underlying
algorithms as well as the programming style.
The following is a brief list with Internet locations for several progra... | 4 | [
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orders and length functions on finitely generated groups
up vote 6 down vote favorite
1
Let $G$ be a finitely generated group with the natural word length function ($|x|$ is the length of the shortest word in generators of $G$ representing $x$). We call a partial left invariant order $\
le $ on $G$ word order if whene... | 5 | [
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o
Topic 14: Apportionment
The number of representatives from each state in the U.S. House of Representatives is proportional to the state's population, and this number is updated every 10 years. Several different methods,
called me... | 4 | [
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Assignment Help
Construct a DFA Assignment Help
Finite Automata - Construct a DFA
How do we construct a DFA
• Determine what a DFA requires to memorize in order to recognize the strings in language.
- property of strings in language
• Determine that how many states are needed to memorize what we want actually... | 5 | [
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-0.0... | 13,619 | 13619 | |
Study
Got Homework?
Connect with other students for help. It's a free community.
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Study23 Group Title
How do I isolate th... | 5 | [
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-0.000598907470703125... | 13,620 | 13620 | |
What's new
You are currently browsing the tag archive for the ‘exponential map’ tag.
In this set of notes, we describe the basic analytic structure theory of Lie groups, by relating them to the simpler concept of a Lie algebra. Roughly speaking, the Lie algebra encodes the
“infinitesimal” structure of a Lie group, but... | 4 | [
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Math Forum Discussions
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Topic: Second differentials and parametrized curves.
Repl... | 5 | [
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1. The Problem Statement, All Variables Andgiven/known ... | Chegg.com
Shear Force and Bending Moment problem
1. The problem statement, all variables andgiven/known data
I have to find the Shear Force and Bending Moment diagrams for thisproblem. The lengths in the picture are 1.2m each and the peakforce is 4kN/m an... | 5 | [
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Yanche's Toolbox, Piping & Circulator Selection Method - Venting, Plumbing, Chimneys, Controls, Coal Bins
I’ve had several requests via private e-mails in the past several months for recommendations on pipe sizing and/or circulator selection. The request is often difficult to answer because not enough
detail design inf... | 5 | [
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Function
Function (mathematics)
In
mathematics
, a
function
is a relation such that each element of a set is associated with a unique element of another (possibly the same) set. The concept of a function is fundamental to virtually every branch of mathematics
and every quantitative
science
.
The terms function,... | 4 | [
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... | 13,625 | 13625 | |
Math Forum Discussions
Re: What's the next triple ?
Posted: Sep 1, 2010 7:36 AM
> A triangle with sides 10,17,9 has an area which is
> equal to the square of 1/6 th of its perimeter.
> Neglecting multiples, find the next largest area
> triangle which has the same characteristics i.e. A =
> (p/6)^2.
> All values are in... | 4 | [
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A105020 - OEIS
A105020 Array read by antidiagonals: row n (n >= 0) contains the numbers m^2-n^2, m >= n+1. 0
1, 3, 4, 5, 8, 9, 7, 12, 15, 16, 9, 16, 21, 24, 25, 11, 20, 27, 32, 35, 36, 13, 24, 33, 40, 45, 48, 49, 15, 28, 39, 48, 55, 60, 63, 64, 17, 32, 45, 56, 65, 72, 77, 80, 81, 19, 36, 51, 64, 75, 84,
91, 96, 99... | 4 | [
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0.... | 13,627 | 13627 | |
POLYHEDRAL STRUCTURES by Panagiotis Stefanides
About this iReport
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Location
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Tech talk
More from PCSTEFANIDES
POLYHEDRAL STRUCTURES by Panagiotis Stefanides
POLYHEDRAL STRUCTURES
by Panagiotis Stefanides
http://www... | 4 | [
-0.06884765625,
0.002960205078125,
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-0.0272216796875,
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-0.025390625,
0.068359375,
0.043212890625,
0.0478515625,
-0.07763671875,
-0.01226806640625,
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0.004119873046875,
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-0.061279296875,
-0.06201171875,
-0.0... | 13,628 | 13628 | |
Milnor mu-bar invariants
Context
Knot theory
• knot, link
• Link Invariants
• Examples
• Related concepts
Topology
Basic concepts
Theorems
Examples
Contents
Idea
In Link Groups , John Milnor introduced the notion of the Link Group? as a way to study links. The notion of equivalence of links that Mil... | 4 | [
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0.052734375,
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0.110351562... | 13,629 | 13629 | |
My JS1K Demo - The Making Of
If you haven't seen it yet, check out the JS1K demo contest. The goal is to do something neat in 1 kilobyte of JavaScript code.
I couldn't resist making one myself, so I pulled out my bag of tricks from my Winamp music visualization days and started coding. I'm really happy with how it tu... | 4 | [
-0.07177734375,
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0.0303955078125,
0.07763671875,
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0.033203125,
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0.01251220703125,
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0.078125,
0.000640869140625,
0.00073242187... | 13,630 | 13630 | |
Electric Math Problem - Freddy's Coffee House
Re: Electric Math Problem
50,000 ohms
Re: Electric Math Problem
I bet you would put up LOTS of resistance if we came to lift your matress!!!!
Re: Electric Math Problem
50 million ohms.
I have this much money stashed under the matters.
Re: Electric Math Problem
5,000,... | 4 | [
0.0242919921875,
0.10205078125,
0.0137939453125,
-0.047607421875,
0.0025482177734375,
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0.07861328125,
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0.09375,
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0.0927734375,
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0.03... | 13,631 | 13631 | |
Posts from FOCS (Part 3)
Continuing posts from FOCS, with several guest-writers and guest-editor Justin Thaler.
[Editor: This is Part 3 in our series of posts covering FOCS 2012. Part 4 will be coming in the next couple of days, and there might or might not be a Part 5. We start with Harvard post-doc
Karthekeyan (Kar... | 4 | [
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0.0141601... | 13,632 | 13632 | |
Combinations in C++
Table of Contents
Introduction
Combination is the way of picking a different unique smaller set from a bigger set, without regard to the ordering (positions) of the elements (in the smaller set). This article teaches you how to
find combinations. First, I will show you the technique to find combin... | 4 | [
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0.04101... | 13,633 | 13633 | |
notes
Peano Axioms
“In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are a set of axioms for the natural numbers.
The constant 0 is assumed to be a natural number:
1. 0 is a natural number.
The next four axioms describe the equality relat... | 4 | [
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0.027587890625,
0.00592041015625,
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0.047119140625,
0.046630859375,
0.004669189453125,
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0.03662109375,
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0.0003833770751953125,
0.008056640625,
-0.0201416015... | 13,634 | 13634 | |
A Survey of Elliptic Cohomology - A-equivariant cohomology
Context
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Higher algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
This is a s... | 4 | [
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0.050537109375,
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0.015625,
0.0654296875,
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0.08349609375,
0.05712890625,
0.02783203125,
-0.037353515625,
0.10498046875,
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-0.08203125,
0.03564453125,
0.002593994140625,
-0.044921875,
0.0196533203125,
... | 13,635 | 13635 | |
Analysis of the propagation, transformation and scattering of the
monochromatic electromagnetic waves in the irregular waveguides: a case of
integrated-optical waveguide with statistic surface roughness and a case of
optical nanofibers with random rough surface.
UDC 517: 519.62: 535.4: 621.38
PACS numbers: 02.60.Nm, 0... | 4 | [
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0.0859375,
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0.025634765625,
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0.054443359375,
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0.0159912109375,
0.0203857421875,
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-0... | 13,636 | 13636 | |
Calculus Problem
Date: Tue, 29 Nov 94 21:56:34 CST
From: Brad Robert Plaster
Subject: Problem
I'm a senior in a college calculus class. The following problem
was assigned, but the next day, after no one had completed it,
our professor attempted to do it but quit after 25 minutes.
Find the equation of the l... | 5 | [
-0.015625,
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0.0159912109375,
0.05810546875,
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-0.0087890625,
0.07421875,
0.013916015625,
0.189453125,
-0.02880859375,
-0.05... | 13,637 | 13637 | |
Order of Operations for Algebraic Expressions
Before we can evaluate an expression we need to know the order in which the operations are done.
For all numerical or algebraic expressions, the order of evaluation is ( BEDMAS ):
B rackets and Parentheses First Priority
E xponents Second Priority
D iv... | 4 | [
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0.0279541015625,
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0.07666015625,
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0.06591796875... | 13,638 | 13638 | |
gerbe (as a stack)
This is a sub-entry for gerbe.
For related entries see
Idea
(The definitions of sheaf and stack are elsewhere in the nLab but we will have to review them briefly. There is also motivation for sheaves, cohomology and higher stacks, which provides other
insights. For simplicity of exposition, we wil... | 4 | [
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0.0250244140625,
0.07373046875,
0.0257568359375,
0.01422119140625,
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-0.020263671875,
-0.0267333984375,
0.078125,
-0.018798828125,
0.044189453125,
-0.... | 13,639 | 13639 | |
2
Table of Contents
Notes on Quiz 2
Answers from the class plus commentary
Arch 324, Introduction to Structural Design, University of Virginia
Last updated Friday, April 19, 1996, at 1:56 PM Copyright © 1996, K... | 5 | [
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dy
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rebeccaskell94 Group Title
In △RST, what i... | 4 | [
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-0.0012130737304687... | 13,641 | 13641 | |
Artificial
6.5.2.1 Localization
Suppose a robot wants to determine its location based on its history of actions and it sensor readings. This is the problem of localization.
Figure 6.15 shows a belief-network representation of the localization problem. There is a variable Loc[i] for each time i, which represents the ... | 4 | [
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0.0242919921875,
-0.0859375,
0.05419921875,
0.0634765625,
-0.022338867... | 13,642 | 13642 | |
Reference for iterated homotopy fixed points?
up vote 6 down vote favorite
3
What are (good) references for results about iterated homotopy fixed points? That is, suppose G is a topological group acting on a space (or spectrum) X, and H is a normal subgroup of G. Then one
would like to first compute the homotopy fixed... | 4 | [
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0.03466796875,
-0.06298828125,
-0.0158691... | 13,643 | 13643 | |
networkx.algorithms.cycles
"""
========================
Cycle finding algorithms
========================
"""
# Copyright (C) 2010 by
# Aric Hagberg <hagberg@lanl.gov>
# Dan Schult <dschult@colgate.edu>
# Pieter Swart <swart@lanl.gov>
# All rights reserved.
# BSD license.
import networkx as nx
from ... | 4 | [
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Zeroes of Maass forms
up vote 8 down vote favorite
1
By a Maass form I just mean--maybe a bit loosely--any real analytic $\Bbb C$-valued function $f$ on the upper halfplane $\cal{H}$ which is automorphic of weight $k\in\Bbb Z$ with respect to a
discrete subgroup $\Gamma<{\rm SL}_2(\Bbb R)$ such that $\Gamma\backslash\... | 4 | [
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Decimal
Decimal
, also called
denary
, is the
base 10 numeral system
, which uses the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 (called
digits
) together with the
decimal point
and the sign symbols + (plus) and − (minus) to represent numbers.
Decimal is the principal numeral system used by humans (though some ... | 4 | [
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0.09375,
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0.00885009... | 13,646 | 13646 | |
Tiling a Chessboard
Problem: Take a chessboard and cut off two opposite corners. Is it possible to completely tile the remaining board with 2-by-1 dominoes?
Solution: Notice that every domino covers exactly one white tile and one black tile. Counting up the colors, we have 32 white and 30 black. Hence, any tiling by ... | 4 | [
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0.036865234375,
-0.03955078125,
0.0027923583984375,
0.02... | 13,647 | 13647 | |
Intersections of conjugates of Lie subgroups
up vote 2 down vote favorite
Let $G$ be a closed, connected Lie group, and let $H$ be a closed (and therefore Lie) subgroup. There is a natural action of $G$ on the space of left cosets $G/H$, for which the stabiliser of $aH$ is
the conjugate subgroup ${}^aH:=aHa^{-1}$.
No... | 4 | [
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... | 13,648 | 13648 | |
Treatise On Analysis Vol-Ii
226 XIII INTEGRATION
(13.21.9) A ^-measurable function h is v-integrable if and only if
This follows from (13.21.8) and (13.9.13).
(13.21.10) Let A be a ^-measurable set in X x Y.
(i) The set M of all x e X such that the section A(x) is not \i-measurable is
^-negligible... | 4 | [
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0.03125,
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0.046142578125,
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Quadrilateral Word problems
1.
In the rectangle, $a$ = 5.76 cm. Find the values of S and $x$.
a. S = 2.4 cm, $x$ = 5.76 cm
b. $x$ = 2.4 cm, S = 4.8 cm
c. S = $x$ = 5.76 cm
d. $x$ = 2.4 cm, S = 5.76 cm
Solution:
In a rectangle, diagonals bisect each other. From the given rectangle S^2 = 5.76 cm
[From fi... | 4 | [
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0.0052185058593... | 13,650 | 13650 | |
Chapter 6. Equalization of Time-Varying
260 CHAPTER 6 Equalization of Time-Varying Channels With a TV channel, Q will not be circulant, and thus Q will not be diagonal. In this case, the off- diagonal terms of Q will be nonzero,
complicating the estimation of a from y. In fact, the interference power profile of Q with... | 4 | [
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0.05126953125,
0... | 13,651 | 13651 | |
A060728 - OEIS
A060728 Numbers n such that Ramanujan's equation x^2 + 7 = 2^n has an integer solution. 12
3, 4, 5, 7, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET 1,1
COMMENTS See A038198 for corresponding x. - Lekraj Beedassy, Sep 07 2004
Also numbers such that 2^... | 4 | [
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0.005126953125,
-0.058... | 13,652 | 13652 | |
Physics Archive | June 15, 2011 | Chegg.com
Physics Archive: Questions from June 15, 2011
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• TallKnight150 asked
0 answers
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• krishna5265 asked
3 answers
• Anonymo... | 4 | [
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0.0079345703125,
-0.0060424... | 13,653 | 13653 | |
basic problems of algebraic topology
In algebraic topology one defines and uses functors from some category of topological spaces to some category of algebraic objects to help solve some existence or uniqueness problem for spaces or
maps.
There are 4 basic problems of algebraic topology for the existence of maps: exte... | 4 | [
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0.... | 13,654 | 13654 | |
Eulerian polynomials
From OeisWiki
The Eulerian polynomials were introduced by Leonhard Euler in his Remarques sur un beau rapport entre les séries des puissances tant directes que réciproques in 1749 (first printed in 1765) where he
describes a method of computing values of the zeta function at negative integers by ... | 4 | [
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0.00946044921875,
-0.07568359375,
-0.0208740234375... | 13,655 | 13655 | |
Brouwer's fixed point and invariance of domain theorems, and Hilbert's fifth problem
We recall Brouwer’s famous fixed point theorem:
Theorem 1 (Brouwer fixed point theorem) Let ${f: B^n \rightarrow B^n}$ be a continuous function on the unit ball ${B^n := \{ x \in {\bf R}^n: \|x\| \leq 1 \}}$ in a Euclidean space $... | 4 | [
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0.0439453125,
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0.00004768371582031... | 13,656 | 13656 | |
Magic 9 - Maths
The Magic of Number 9
1.Finding the Digital Roots by Casting “9”
What is Digital root?
If we add up the digits of a number until there is only one number left we have found what is called the digital root. In oth... | 4 | [
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0.0... | 13,657 | 13657 | |
Squares on Spheres
Name: James K.
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: N/A
Question: A square on the surface of a sphere measuring 1 degree 1/360th. of a circle ) square.
... | 4 | [
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0.08056640625,
0.02294921875,
-0.04150390625,
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-... | 13,658 | 13658 | |
dy
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heathernelly Group Title
PLEASEE HELPP!!!!... | 4 | [
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Comp
A powerful programming language is more than just a means for instructing a computer to perform tasks. The language also serves as a framework within which we organize our ideas about processes.
Thus, when we describe a language, we should pay particular attention to the means that the language provides for combi... | 5 | [
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Schur functor
Contents
Idea and definition
Classically, a ‘Schur functor’ is a specific sort of functor
$S: FinVect \to FinVect$
where FinVect is the category of finite-dimensional complex vector spaces. Namely, it is a functor where $S(X)$ is obtained by taking the $n$th tensor power of the vector space $X$ and th... | 4 | [
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0.... | 13,661 | 13661 | |
Biomod/2013/NanoUANL/Simulations
From OpenWetWare
SIMULATIONS
Capsid simulations (Multiscale Modeling)
A viral capsid is a system with many proteins, each with many atoms, Thus, when trying to simulate such a system, we have to face many obstacles, mainly concerned in the resolution of the information
and computati... | 4 | [
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symplectomorphism
Context
Symplectic geometry
Background
Basic concepts
Classical mechanics and quantization
Contents
Idea
Symplectomorphisms are the homomorphisms of symplectic manifolds.
In the context of mechanics where symplectic manifolds model phase spaces, symplectomorphisms are essentially what are call... | 4 | [
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Homework Help
Posted by lala on Saturday, April 10, 2010 at 11:43pm.
A fence is 1.5m high and is 1m from a wall. A ladder must start from the ground, touch the top of the fence, and rest somewhere on the wall. Calculate the minimun lenght of the ladder.
I drew a diagram and i ended up with a right angle triangle. i m... | 5 | [
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Gelfand duality
Context
Algebra
Geometry
Functional analysis
Duality
Noncommutative geometry
Contents
Idea
Gelfand duality is a duality between spaces and their algebras of functions for the case of (locally) compact topological spaces and commutative (nonunital) C-star algebras:
every (nonunital) $C^\ast$-alg... | 4 | [
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Statistic
This is an old revision of the document!
Table of Contents
Statistics
The package jhplot.stat can be used for descriptive analysis of random distributions. Similarly, cern.jet.stat.Descriptive package contains descriptive methods to calculate many statistical
characteristics.
Consider also several other p... | 5 | [
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Flotation
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Flotation 4,990 views
In flotation, the buoyant force equals the weight of the floating object and the volume of the object is always greater than the volume of water displaced. Floatation can be calc... | 4 | [
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NonNegativeLeastSquares
edu.rit.numeric
Class NonNegativeLeastSquares
•
□ edu.rit.numeric.NonNegativeLeastSquares
•
public class NonNegativeLeastSquaresextends Object
Class NonNegativeLeastSquares provides a method for solving a least squares minimization problem with nonnegativity constraints. ... | 4 | [
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0.034912109... | 13,668 | 13668 | |
dy
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intellect Group Title
Sulfur vapor is anal... | 5 | [
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Math ( composite functions )
Posted by Mira on Tuesday, October 2, 2012 at 12:43am.
I need some help with composite functions
where i have to find the f(g(x)) and g(f(x)) on most of them I just couldn't figure out how to multiply....
1) f(x) = ³√x-5 , g(x) = x^3 + 1
So I started on this one and i got confused with ... | 4 | [
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22.3 Measures on Volumes and the Divergence Theorem
]>
Home | 18.013A | Chapter 22 Tools Glossary Index Up Previous Next
22.3 Measures on Volumes and the Divergence Theorem
Suppose we have a volume $V$ in three dimensions that has piecewise locally planar boundaries. (This means that its boundary can be broken up ... | 4 | [
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Scientific Papers - Vi
216 FURTHER APPLICATIONS OF BESSEL'S FUNCTIONS OF [380
When n is great, the vibration at a distance is extraordinarily small in comparison with what it would have been were lateral motion prevented. As another example, let n^l'lka. Then (27) = e-™n+ V('4587). Here ... | 4 | [
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Existence of a large divisor of the product of all primepowers in the interval [p/2, p], with the divisor restricted to some moduloclass
up vote 2 down vote favorite
The title almost says it all;
Let $p$ be some large prime. Does there exist a $d$ such that the following three things hold?;
1) $d$ divides the produc... | 5 | [
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absolute value
Context
Analysis
Algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Terminology
In field theory, what we call an ‘absolute value’ here is often called a ‘valuation’. However, there is also a more g... | 4 | [
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... | 13,674 | 13674 | |
Control Charts
Interpretation of the V-Mask on the plot In the diagram above, the V-Mask shows an out of control situation because of the point that lies above the upper arm. By sliding the V-Mask backwards so that
the origin point covers other cumulative sum data points, we can determine the first point that signaled... | 4 | [
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0... | 13,675 | 13675 | |
A002865 - OEIS
A002865 Number of partitions of n that do not contain 1 as a part. 132
(Formerly M0309 N0113)
1, 0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 34, 41, 55, 66, 88, 105, 137, 165, 210, 253, 320, 383, 478, 574, 708, 847, 1039, 1238, 1507, 1794, 2167, 2573, 3094, 3660, 4378, 5170, 6153, 7245, 8591,... | 5 | [
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Multiplication of Binary Numbers
A tutorial on how to multiply binary numbers, along with examples, exercises and answers is presented.
let us first add binary numbers with one digit
0 x 0 = 0
0 x 1 = 1
1 x 0 = 1
1 x 1 = 1
The above simple additions are similar to those of decimal.
We now multiply numbers with more t... | 4 | [
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Partially Painted Cube
Copyright © University of Cambridge. All rights reserved.
'Partially Painted Cube' printed from http://nrich.maths.org/
Well done to Rajeev from Fair Field Junior School who sent us this solution:
Jo noticed that when she painted some of the faces of her cube then $45$ faces had no paint on th... | 4 | [
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0.009... | 13,678 | 13678 | |
Level p characteristic 2 modular forms and thetas
up vote 7 down vote favorite
1
BACKGROUND
Let p be an odd prime. An element of Z/2[[x]] is "modular of level p" if it is the mod 2 reduction of a g in Z[[x]] with g the Fourier expansion of a modular form for gamma_0(p). In various cases
when f is modular of level p t... | 4 | [
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Is the universal covering of an open subset of $\mathbb{R}^n$ diffeomorphic to an open subset of $\mathbb{R}^n$ ?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is the universal covering of a connected open subset $U$... | 5 | [
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Quantum 1/f Proximity Effect in Nanotechnology
Quantum 1/f Proximity Effect in Nanotechnology
... | 4 | [
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Extending the BEAGLE library to a multi-FPGA platform
Abstract
Background
Maximum Likelihood (ML)-based phylogenetic inference using Felsenstein’s pruning algorithm is a standard method for estimating the evolutionary relationships amongst a set of species based on DNA
sequence data, and is used in popular applicatio... | 4 | [
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Physics Archive | May 17, 2010 | Chegg.com
Physics Archive: Questions from May 17, 2010
• kinecticon asked
1 answer
• Anonymous asked
The gravitational field g due to a point mass M may be obtained byanalogy with the electric field b... Show more
The gravitational field g due to a point mass... | 5 | [
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... | 13,683 | 13683 | |
Formula for Pi
Date: 28 Jun 1995 09:39:43 -0400
From: Bryan K Cantwell
Subject: Formula for PI
I would like to know the formula for Pi that was used to calculate out to
the bazillionth digit for the memory contests. Preferably, in a short
program routine for my pc (486).
Thanks BKC
coyote@onramp.net
Date: 28 Jun ... | 5 | [
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nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
I received two superb solutions from Sheila Norrie, Shona Leenhouts and Alison Colvin, and Sarah Gibbs, Kathryn Husband and Gordon Ducan from Madras College, St. Andrews. It is so difficult to do
justice to them before our publication date for t... | 4 | [
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-0.0135498... | 13,685 | 13685 | |
Scala type level encoding of the SKI calculus
In one of my posts on type level meta programming in Scala the question of Turing completeness came up already. The question is whether Scala’s type system can be used to force the Scala compiler to
carry out any calculation which a Turing machine is capable of. Various of ... | 5 | [
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0.059... | 13,686 | 13686 | |
Surface area
Talk0
872pages on
this wiki
This article needs to be formatted and/or linked to other articles according to our style guidelines. Please remove this notice when this has been done.
Surface area is how much exposed area an object has. It is expressed in square units. If an object has flat faces, its sur... | 4 | [
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Marbles in a Box
Copyright © University of Cambridge. All rights reserved.
Joel and Sarah from Sawston Village College found an alternative method for working out the number of different winning lines in a $3 \times 3 \times 3$ cube. Here is the description of their method.
Congratulations! Finding all the lines once ... | 4 | [
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dy
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klimenkov Group Title
\[\lim_{n\rightarrow... | 5 | [
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-0.07177734375,
-0.004302978515625,
0.029418945... | 13,689 | 13689 | |
Percentile
Talk0
34,135pages on
this wiki
A percentile is the value of a variable below which a certain percent of observations fall. So the 20th percentile is the value (or score) below which 20 percent of the observations may be found. The
term percentile and the related term percentile rank are often used in desc... | 4 | [
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Strongly specified function in Coq
After my two previous posts about Coq, I am now ready to write a little about strong specification in Coq. A strongly specified function is a function which is containing its specification in its
output type.
1. Definitions
Such a strongly specified function is returning a type whi... | 5 | [
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The smoothest curve through a set of points
How do you fit the smoothest curve through a set of points? Suppose you have a set of increasing x values x[1], x[2], x[3], … , x[n] and a corresponding set of y values y[1], y[2], y[3], … , y[n].
You want to find the smoothest function f(x) such that f(x[i]) = y[i] for i = ... | 4 | [
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.
2. OBSERVING STAR-FORMING CLOUDS
We will begin with a discussion of the important observational techniques that we use to obtain information about the star-forming ISM. This will naturally lead us to review some of the important
radiative transfer physics that we need to keep in mind to understand the observations.... | 4 | [
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More on the evidence of a single coin toss
Recently, I asked how much evidence was contained in a single coin toss:
After seeing the outcome of this single coin toss [which came up heads], how much more should you believe my claim that the coin always comes up heads, compared to what you believed before the
co... | 5 | [
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Blimpy Burger Combinations
The number of possible Blimpy Burger combinations is:
2,147,483,648
How did we figure this out? There are four burger sizes, six cheeses (you can order all of them, some of them, or no cheese at all), four different bun types, nine different grilled items (you can
get all, some, or none of t... | 5 | [
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Deriving the Area of a Sphere
Date: 10/21/2003 at 23:59:24
From: sana
Subject: Deriving the area of sphere
I know the area of a sphere is 4phi(r^2), but I'm wondering how to
derive that formula. I know it should be done in cylindrical
coordinates, and I'm thinking that the arc of a circle is defined as
rd(theta) and... | 4 | [
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An Unusual Shape
Copyright © University of Cambridge. All rights reserved.
There were lots of solutions submitted and most of you got the right answer, that the goat was tied up on a long side of the shed, 5 feet from the bottom left corner of the diagram in the question.
There were a couple of different ways of worki... | 4 | [
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New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are
esta... | 5 | [
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Modulation Choices For Telemetry Transmitters
Designing a transmitter for telemetry applications requires careful consideration of the modulation scheme. For one such system, a weather-balloon telemetry transmitter was required to send digital
data at 384 b/s (48 B) from the output of multiple transducers (sensors) use... | 4 | [
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