content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
bordism categories following Stolz-Teichner
raw material: this are notes taken more or less verbatim in a seminar – needs polishing
Previous:
Next:
see also
Contents
Idea
The goal here is to befine a category of cobordisms that carry the structure of Riemannian manifolds. Where a functor on an ordinary cobord... | 4 | [
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0.0286865234375,
-0.10009765625,
0.003021240234375,
-0.0458984375,
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0.006927490234375,
0.06201171875,
-0.05615234375,
0.026123046875,... | 11,900 | 11900 | |
The point-spread function of fiber-coupled area detectors
2.1. Experimental set-up
A 50 µm-thick disk of tantalum (Ta) with a 15 µm circular laser-drilled hole in the center was purchased from National Aperture (Salem, NH, USA), and placed at the sample position in the protein
crystallography beamline 8.3.1 at the Adv... | 4 | [
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0.05078125,
0.04443359375,
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0.05224609375,
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0.05029296875,
0.054443359375,
-0.042236328125,
0.02... | 11,901 | 11901 | |
Integration by partial fractions help?
April 11th 2014, 10:16 PM
jiel
Integration by partial fractions help?
I'm trying to find the integral of
(-12e^x-20)/(e^(2x)+6e^x+5)
using integration by partial fractions, but I keep getting stuck at
-4 (/int/ (1/2)/(e^x+1) + /int/ (5/2)/(e^x+5))
I'm no... | 5 | [
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0.039306640625,
0.04858... | 11,902 | 11902 | |
Balls In Bins
Suppose we have N bins and we randomly throw balls into them until
exactly m bins contain at least two balls. What is the expected
number of balls required? This is a special case of the generalized
Birthday Problem, which asks for the expected number of duplicate
birthdays (doubles, triples, etc) amon... | 5 | [
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0.09375,
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0.00396728515... | 11,903 | 11903 | |
Encyclopaedia Index
Back to start of article
TURBULENCE MODELS IN PHOENICS
5. Models which may make some use of the Effective Viscosity Hypothesis
5.2 TWO-FLUID TURBULENCE MODELS
Click here for an extract from an old lecture ... | 4 | [
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0.08447265... | 11,904 | 11904 | |
The maximum clique enumeration problem: algorithms, applications, and implementations
Abstract
Background
The maximum clique enumeration (MCE) problem asks that we identify all maximum cliques in a finite, simple graph. MCE is closely related to two other well-known and widely-studied problems: the
maximum clique opt... | 4 | [
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0.04541015625... | 11,905 | 11905 | |
Problems with some integration
July 22nd 2006, 09:04 PM #16
Grand Panjandrum
Joined
Nov 2005
From
someplace
Posts
14,972
Thanks
4
scorpion007
Here's also another question i couldnt solve. Its multiple choice. See if you can get it.
$f$ is a continuous, differentiable function with $f(x) ... | 4 | [
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0.02734375,
-0.025634765625,
-0.059326171... | 11,906 | 11906 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
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Pfaffian
Contents
Idea
The Pfaffian of a skew-symmetric matrix is a square root of its determinant.
Definition
Let $A = (A_{i,j})$ be a skew-symmetric $(2n \times 2n)$-matrix with entries in some field (or ring) $k$.
Definition
The Pfaffian $Pf(A) \in k$ is the element
$\frac{1}{2^n n!} \sum_{\sigma \in S_{2n}} ... | 4 | [
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... | 11,908 | 11908 | |
CBSE-CLASS 12TH BOARDS
Probability
, or
chance
, is a way of expressing knowledge or belief that an
event
will occur or has occurred. In
mathematics
the concept has been given an exact meaning in
probability theory
, that is used extensively in such
areas of study
as
mathematics
,
statistics
,
finance
... | 4 | [
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0.0025939941406... | 11,909 | 11909 | |
How To Understand Derivatives: The Quotient Rule, Exponents, and Logarithms
Get the Math, Better Explained eBook and turn Huh? to Aha!
Last time we tackled derivatives with a “machine” metaphor. Functions are a machine with an input (x) and output (y) lever. The derivative, dy/dx, is how much “output wiggle” we get... | 5 | [
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Homework Help
Posted by Fai on Saturday, August 11, 2012 at 2:29pm.
Concentrated hydrochloric acid has specific gravity 1.18 and 36% hcl weight. What volume of concentrated hcl must be diluted to give 50gm of 10 percent
My calculation
50gm x 10% = 5gm
5gm x 36.46 =182.3/ 0.36 =
506 / 1.18 = 429 ml
I am not sure a... | 4 | [
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Dispersion Trading
Tatiana Lozovaia and Helen Hizhniakova
HOW TO EXTEND MODERN PORTFOLIO THEORY TO MAKE MONEY FROM TRADING EQUITY OPTIONS
How to read dispersion numbers, or market is the biggest portfolio one could ever manage
Contents
INTRODUCTION
Every trader, market-maker or financial analyst knows what risk is... | 4 | [
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... | 11,912 | 11912 | |
Trigonometry related to Rogers--Ramanujan identities
up vote 17 down vote favorite
12
For integers $n\ge2$ and $k\ge2$, fix the notation $$ [m]=\sin\frac{\pi m}{nk+1} \quad\text{and}\quad [m]!=[1][2]\dots[m], \qquad m\in\mathbb Z_{>0}. $$ Consider the following trigonometric numbers:
$$ a_i=\frac{[i+k-2]![n-i+k-2]!}{[... | 4 | [
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0.10986328125,... | 11,913 | 11913 | |
GHZM experiment and indefensible emulators of quantum mechanics
I want to go through the
GHZM experiment
again and somewhat carefully (and in \(\LaTeX\)) and discuss the insanity of the assumptions about the laws of Nature that are forced upon you if you want to believe in "realism", i.e. the idea that
the results... | 4 | [
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0.046875,
0.0849609375,
-0.0800... | 11,914 | 11914 | |
How to Count number of Set bits or 1's in Integer on Java?
There are multiple ways to count number of 1's or set bits in a integer number in Java. You can use bitwise and bit shift operator by your own, or, you can use Java API to count number of set bits.
Java 1.5 added two utility method called
bitCount(int i)
whic... | 4 | [
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New enumeration algorithm for protein structure comparison and classification
Abstract
Background
Protein structure comparison and classification is an effective method for exploring protein structure-function relations. This problem is computationally challenging. Many different computational
approaches for protein ... | 4 | [
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0... | 11,916 | 11916 | |
projection of the co-derivative == co-derivative of the projection ?
up vote 0 down vote favorite
Hey,
here is the formal question.
M is a riemannian sub-manifold in N. a,b are vector fields such that for each p$\in$M, $a_p$,$b_p$ in $T_p$M $\subset$ $T_p$N
prove
$\nabla^M_b$a = pr($\nabla^N_b$a)
where pr is the... | 4 | [
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0... | 11,917 | 11917 | |
Infosys Placement Puzzles (Ten Puzzles completely solved )
Qn. 1 A frog fell into 30 mt deep well and tries to getout,it goes 3mts up and fall 2mts every day. we have to calculate no of days it take to getout.
Ans
1st day it rises 1 mt,2nd day 1 mt, like wise 27 day 27 mts but on 28th day by climbing 3 mts it gets out ... | 4 | [
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0.05078125,
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0.0029296875,
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0.051269531... | 11,918 | 11918 | |
The Cosmological Constant
Annu. Rev. Astron. Astrophys. 1992. 30: 499-542
Copyright © 1992 by . All rights reserved
3.2 The Age of the Universe
By a trivial change of variables in Equation 9, from a to z and from t, we obtain an integral that relates redshift z[1] to lookback time from the present,
16.
This i... | 4 | [
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0.015380859375... | 11,919 | 11919 | |
growth of energy of eigenfunctions on hyperbolic surface
up vote 2 down vote favorite
I am looking to the behavior of eigenfunctions associated to small eigenvalues on a degenerating hyperbolic surface.
Let $(\Sigma_n, h_n)$ a sequence of compact surfaces with area equal to $1$ and curvature equal to $-1$. Let $\phi_... | 4 | [
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Re: square root modulo power of prime
Karim Belabas on Fri, 18 May 2007 12:12:37 +0200
[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]
Re: square root modulo power of prime
* Max Alekseyev [2007-05-18 04:13]:
> What is the best way to compute square roots modulo power of prime?
> sqr... | 5 | [
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SOA Sample Question 196 - Actuarial Outpost
I did this question in about 3-4 minutes
The trick is this...
The 3 losses of 750 have a deductible of 200. With deductibles in MLE's, you have to condition on the loss being above the deductible. (also, you can drop the "+1" from the (x+theta)^(a+1), since
(x+theta)^1 is j... | 5 | [
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0.035888671875,
-0.035888671875,
0.0517578... | 11,922 | 11922 | |
Filters and intersection of two binary relations
up vote -8 down vote favorite
Let $\mathfrak{F}$ is the complete lattice of filters (including the improper filter) on some set, ordered inverse to set-theoretic inclusion.
I will denote $\left\langle f \right\rangle \mathcal{X} = \bigcap^{\mathfrak{F}} \left\{ f \left... | 5 | [
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... | 11,923 | 11923 | |
Restart Bandit
Rook Jumping Maze Instructions: Starting at the circled cell in the upper-left corner, find a path to the goal cell marked “G”. From each numbered cell, one may move that exact number of cells
horizontally or vertically in a straight line. How many moves does the shortest path have?
... | 5 | [
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0.03369140625,
0.032... | 11,924 | 11924 | |
Inequality on Chern classes of surfaces
up vote 2 down vote favorite
2
I remember that some where, I saw an equality like $ c_2-c_1^2 \geq 0$ on surfaces ($c_1$ and $c_2$ are Chen classes), but I don't remember the exact form of inequality neither its name.
Can you help?
What I want is to know for which surfaces $ c... | 5 | [
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0.0087890625,
-0.0610351562... | 11,925 | 11925 | |
Maple: How to convert Cylindrical coordinates to Cartesian coordinates?
up vote 0 down vote favorite
We get some expression in Cylindrical coordinates (r, ϕ, z ) like : expr := r*z^2*sin((1/3)*ϕ) we need to convert it into Cartesian coordinates and than back to Cylindrical coordinates.
How to do such thi... | 5 | [
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... | 11,926 | 11926 | |
Chern class
Context
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Contents
Idea
The Chern classes are the integral characteristic classes
$c_i : B U \to B^{2 i} \mathbb{Z}$
of the classifying space $B U$ of the unitary group.
Accordingly these are characteristic classes o... | 4 | [
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-0.00107574462890625,
-0.060546875,
-0.0074462890625... | 11,927 | 11927 | |
Criterions for Reflexiveness of sheaves and a special case
up vote 1 down vote favorite
A coherent sheaf $V$ on a say noetherian scheme is called reflexive if the canonical map $V \rightarrow \mathcal Hom_{\mathcal O_X}(\mathcal Hom_{\mathcal O_X}(V,\mathcal O_X),\mathcal O_X)$ is an
isomorphism of sheaves.
In princi... | 4 | [
-0.02783203125,
-0.0191650390625,
0.036865234375,
-0.056884765625,
0.12060546875,
-0.032470703125,
-0.06396484375,
-0.01806640625,
-0.00634765625,
-0.037841796875,
0.041748046875,
-0.037353515625,
-0.02392578125,
0.00238037109375,
0.1005859375,
-0.048828125,
0.10498046875,
0.034667... | 11,928 | 11928 | |
classifying discrete opfibration
Definition
As in WeberYS2T, a classifying discrete opfibration in a finitely complete 2-category $K$ is a discrete opfibration $p:E\to S$ such that for any $X$, the functor
$K(X,S) \to DOpf(X),$
given by pullback of $p$, is full and faithful.
The canonical example is when $K$ is som... | 4 | [
0.054931640625,
0.0079345703125,
-0.0152587890625,
-0.0269775390625,
-0.045654296875,
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-0.01214599609375,
0.0810546875,
0.043701171875,
-0.021240234375,
-0.0289306640625,
-0.07666015625,
0.045654296875,
0.0306396484375,
0.01019287109375,
0.10595703125,
... | 11,929 | 11929 | |
Wahl & Ammann proxy calculations
I had been quietly plodding through
Wahl and Ammann 2007
. This is the paper that re-did the MBH98/99 proxy calculations using conventionally centred principal components analysis and a modified number of PC's. It's relevant to recent discussions of the
Wegman report.
Some original c... | 4 | [
-0.10107421875,
-0.008544921875,
-0.01483154296875,
-0.0181884765625,
-0.07275390625,
-0.017333984375,
-0.03857421875,
0.025634765625,
-0.0634765625,
0.034912109375,
0.0023651123046875,
0.0751953125,
-0.019775390625,
-0.03564453125,
0.00909423828125,
0.0712890625,
0.03271484375,
0.... | 11,930 | 11930 | |
Homework Help
Posted by Julia on Thursday, December 8, 2011 at 9:24pm.
A projectile is launched from a platform 10 meters above ground with an initial upward velocity of 20 meters per second.
Find the time when the projectile has returned to the initial height launch, find the time the projectile hits the ground, fin... | 4 | [
0.012451171875,
0.060546875,
0.041259765625,
-0.0172119140625,
-0.01348876953125,
0.016357421875,
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0.1337890625,
0.01324462890625,
0.017333984375,
0.12890625,
0.025390625,
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0.095703125,
-0.03369140625,
0.08349609375,
0.00138092041015625,
0.03039550781... | 11,931 | 11931 | |
Finding figures of constant width on a chessboard
27 April 2009
Constant width figure of type (11,11,3)
We will say a collection of squares on an nxn board is a figure of constant width w if every row, column and diagonal (both main dia... | 4 | [
0.06298828125,
0.003997802734375,
-0.08203125,
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-0.033447265625,
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-0.041748046875,
-0.039306640625,
-0.0091552734375,
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0.0211181640625,
-0.1640625,
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0.0167236328125,
0.0... | 11,932 | 11932 | |
Why if (n & -n) == n then n is a power of 2?
Stack Overflow is a question and answer site for professional and enthusiast programmers. It's 100% free, no registration required.
Line 294 of java.util.Random source says
if ((n & -n) == n) // i.e., n is a power... | 4 | [
-0.052001953125,
0.11328125,
-0.023193359375,
0.0771484375,
-0.04736328125,
-0.09375,
-0.000606536865234375,
0.0093994140625,
0.04052734375,
-0.002899169921875,
-0.051513671875,
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-0.03662109375,
-0.03125,
-0.0028839111328125,
-0.0201416015625,
-0.09130... | 11,933 | 11933 | |
Given f, is there an automatic way to calculate fprime for Newton's method?
up vote 3 down vote favorite
The following was ported from the pseudo-code from the Wikipedia article on Newton's method:
#! /usr/bin/env python3
# https://en.wikipedia.org/wiki/Newton's_method
import sys
x0 = 1
f = lambda x: x ** 2 - 2
fpri... | 5 | [
-0.00628662109375,
-0.0390625,
-0.09326171875,
0.0296630859375,
0.060302734375,
-0.11474609375,
-0.06298828125,
0.1279296875,
-0.09619140625,
0.037109375,
0.072265625,
-0.04541015625,
0.03173828125,
0.0390625,
-0.031494140625,
-0.043701171875,
-0.0186767578125,
0.026611328125,
-0... | 11,934 | 11934 | |
Sine of an Angle and Opposite Side
Date: 5/17/96 at 16:54:58
From: Anonymous
Subject: Relationship of sine of an angle to its opposite side
Hello. I am a 10th grader in high school and I am currently in
Algebra II. Our math teacher gave us a problem for bonus, but she
didn't know the complete answer. Do you think... | 4 | [
-0.05029296875,
0.08154296875,
-0.000885009765625,
0.051513671875,
-0.0322265625,
-0.033935546875,
0.0263671875,
0.0703125,
0.05810546875,
0.01422119140625,
0.03271484375,
-0.09912109375,
-0.004852294921875,
0.060791015625,
0.019775390625,
-0.0029296875,
-0.01287841796875,
0.038574... | 11,935 | 11935 | |
I Was Orginally Suppost To Convolve These Two Signals ... | Chegg.com
Convolution
I was orginally suppost to convolve these two signals h(t) =1-t, and x(t) = e^-t. I was able to do that however, then I'm askedto find the same y(t) response using the step response, so in shortI'll
show you my two integrals for the two ... | 4 | [
-0.111328125,
0.0294189453125,
0.0673828125,
-0.035888671875,
0.00628662109375,
-0.06689453125,
-0.0279541015625,
0.05029296875,
-0.00958251953125,
-0.0703125,
0.02587890625,
-0.0380859375,
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-0.0830078125,
0.038330078125,
-0.0498046875,
-0.07421875,
-0.0245361328125,
... | 11,936 | 11936 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Spiral with constant velocity (same distance betwe... | 4 | [
-0.07373046875,
-0.053466796875,
-0.05029296875,
-0.05908203125,
-0.05908203125,
0.01611328125,
-0.04833984375,
-0.00189971923828125,
0.037841796875,
-0.0286865234375,
0.06494140625,
0.037353515625,
0.047119140625,
0.034423828125,
-0.04833984375,
0.0087890625,
-0.02734375,
-0.00567... | 11,937 | 11937 | |
The Inverse and Determinants of 2x2 and 3x3 Matrices
For those people who need instant formulas!
The general way to calculate the inverse of any square matrix, is to append a unity matrix after the matrix (i.e. [A | I]), and then do a row reduction until the matrix is of the form [I | B], and
then B is the inverse of ... | 4 | [
-0.06396484375,
-0.0306396484375,
-0.0299072265625,
-0.052490234375,
-0.0179443359375,
-0.06787109375,
-0.01177978515625,
-0.0556640625,
0.00115966796875,
-0.036865234375,
0.08349609375,
0.0255126953125,
-0.00799560546875,
-0.033203125,
-0.038330078125,
0.01531982421875,
-0.046630859... | 11,938 | 11938 | |
Multiple-platform data integration method with application to combined analysis of microarray and proteomic data
Abstract
Background
It is desirable in genomic studies to select biomarkers that differentiate between normal and diseased populations based on related data sets from different platforms, including microar... | 4 | [
0.04736328125,
-0.046630859375,
-0.01611328125,
-0.053955078125,
0.10986328125,
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0.060302734375,
-0.028564453125,
-0.0162353515625,
-0.00872802734375,
-0.047607421875,
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0.07421875,
0.017822265625,
0.0498046875,
-0.11083984375,
0.0... | 11,939 | 11939 | |
Properly Understanding Noise In Test Applications
Noise generators can serve as useful test tools in evaluating communications systems performance. They allow an operator to add a controlled amount of thermal noise to a reference signals to
determine the effect of noise on system performance, such as bit-error rate (BE... | 4 | [
-0.056640625,
-0.025634765625,
0.007232666015625,
0.0810546875,
0.0081787109375,
-0.099609375,
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-0.0908203125,
-0.01507568359375,
-0.0576171875,
-0.045166015625,
-0.03662109375,
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-0.061767578125,
-0.06494140625,
-0.048583984375,
0.13671875,
0.0088500976... | 11,940 | 11940 | |
Remotely-sensed TOA interpretation of synthetic UWB based on neural networks
Abstract
Because of the good penetration into many common materials and inherent fine resolution, Ultra-Wideband (UWB) signals are widely used in remote sensing applications. Typically, accurate Time of
Arrival (TOA) estimation of the UWB sig... | 4 | [
-0.06396484375,
-0.0537109375,
0.03564453125,
0.07666015625,
0.044677734375,
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-0.03125,
-0.0281982421875,
0.017333984375,
0.0194091796875,
-0.08447265625,
0.01263427734375,
-0.033203125,
-0.01171875,
-0.0224609375,
-0.01129150390625,
0.0615234375,
-0.08740234375,
... | 11,941 | 11941 | |
$H^1$ of the pull back of the tangent bundle.
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
If $C$ is a smooth elliptic curve and $f: C \to \mathbb P^n$, then $H^1(C,f^*T_{\mathbb P^n}) = 0.$ How do I prove this? The impl... | 5 | [
-0.07666015625,
0.09326171875,
-0.005340576171875,
0.047119140625,
0.05810546875,
0.017333984375,
-0.0135498046875,
0.06298828125,
0.01531982421875,
-0.11181640625,
0.0966796875,
-0.044921875,
-0.162109375,
-0.08984375,
-0.0135498046875,
0.0198974609375,
-0.091796875,
0.00817871093... | 11,942 | 11942 | |
Inductors and calculus
Inductors do not have a stable "resistance" as conductors do. However, there is a definite mathematical relationship between voltage and current for an inductor, as follows:
You should recognize the form of this equation from the capacitor chapter. It relates one variable (in this case, inducto... | 4 | [
-0.049560546875,
0.047607421875,
0.033203125,
-0.005889892578125,
0.037841796875,
0.0311279296875,
-0.034912109375,
0.0361328125,
0.06884765625,
0.048828125,
0.04833984375,
-0.039306640625,
0.08056640625,
0.091796875,
-0.01226806640625,
0.0023651123046875,
0.0189208984375,
0.061279... | 11,943 | 11943 | |
Scientific Papers - Vi
48 ON THE CALCULATION OF [35
necessity of the first two terms in the expression of an arbitrary functioi .It would have been better to have mentioned them explicitly; but I d not think any reader of my book could... | 4 | [
-0.10302734375,
0.0625,
-0.0181884765625,
-0.0771484375,
-0.0250244140625,
0.00885009765625,
-0.0177001953125,
0.01611328125,
-0.044677734375,
0.025390625,
0.08544921875,
-0.033203125,
-0.003570556640625,
0.0257568359375,
0.054931640625,
-0.05078125,
-0.047119140625,
0.025512695312... | 11,944 | 11944 | |
Weak convergence of measures
December 13th 2009, 07:58 AM #1
Junior Member
Joined
Nov 2009
Posts
57
Weak convergence of measures
Let $(X,d)$ a metric space, $\mathcal{B}(X)$ the algebra of its Borel sets, $(\mathbb{P}_n)_n$ a sequence of probability measures on $(X,\mathcal{B}(X))$ and $C_b(X)$ the space... | 5 | [
-0.054443359375,
-0.0830078125,
-0.0185546875,
-0.0673828125,
0.01336669921875,
0.09521484375,
0.111328125,
0.045654296875,
-0.0576171875,
-0.09765625,
-0.044677734375,
0.02294921875,
0.00933837890625,
0.002685546875,
0.055908203125,
0.002349853515625,
0.04638671875,
0.019287109375... | 11,945 | 11945 | |
Existence of hyperelliptic curve with specific number of points in a family
up vote 9 down vote favorite
4
Hi,
the following question was posed to me, it apparently has applications for linear codes. Let n>1, and $K = \rm{GF}(2^n)$. Let $k$ be coprime to $2^n-1$. Does there always exist $a \neq 0$ in $K$ such
that th... | 4 | [
0.00128173828125,
-0.0078125,
-0.08544921875,
0.0205078125,
0.043701171875,
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-0.05908203125,
0.01507568359375,
-0.021728515625,
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-0.037353515625,
-0.0155029296875,
-0.007110595703125,
0.0771484375,
-0.05859375,
-0.0573730468... | 11,946 | 11946 | |
Ludwig Boltzmann: a birthday
Off-topic: Yuri Milner, Facebook's Zuckerberg, and Google's Brin launched a Life Sciences counterpart of the Milner Prize, the same money. Because it's about life sciences, the chairman of the
foundation is the chairman of Apple.
Ludwig Boltzmann
was born on February 20th, 1844, i... | 4 | [
-0.0296630859375,
-0.0576171875,
-0.0235595703125,
0.08349609375,
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-0.031982421875,
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0.0035247802734375,
-0.06298828125,
0.027587890625,
-0.0517578125,
0.00... | 11,947 | 11947 | |
Stair Patterns
Date: 02/27/2001 at 07:33:23
From: pierre aghajani
Subject: Need a formula, please
Could you help me with stair patterns made with matches?
The first step is made with four matches; the second step is made from
10 matches; the third step is made from 18 matches; the fourth step is
made from 28 matche... | 4 | [
-0.08154296875,
0.00921630859375,
0.0205078125,
-0.10400390625,
-0.08544921875,
0.0380859375,
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0.072265625,
-0.04150390625,
0.02734375,
-0.0771484375,
-0.01611328125,
0.01239013671875,
0.0179443359375,
0.024658203125,
0.09814453125,
-0.078125,
0.0439453125,
-0.0363... | 11,948 | 11948 | |
Using Omega to prove a lemma in Coq
up vote 1 down vote favorite
I am trying to make a proof in Coq using Omega. I spent a lot of time on it, but nothing came to me. I have to say I am new in Coq, so I am not at ease with this kind of language, and I do not have
much experience. But I am working on it.
Here's the cod... | 5 | [
-0.10791015625,
0.08740234375,
0.09912109375,
-0.000522613525390625,
0.0966796875,
0.0245361328125,
-0.002838134765625,
0.08740234375,
0.018798828125,
-0.06396484375,
-0.04833984375,
-0.0245361328125,
-0.01165771484375,
-0.0032501220703125,
0.052490234375,
0.019287109375,
-0.00567626... | 11,949 | 11949 | |
derivative by first principles
March 29th 2008, 07:53 PM #1
Junior Member
Joined
Mar 2008
Posts
45
derivative by first principles
Hi all,
I was wondering how do you find the derivative of the following function by first principles:
(1 + 2x) ^(1/2)
When i try to find the derivate by first pr... | 5 | [
0.08935546875,
-0.05615234375,
0.0849609375,
0.01275634765625,
0.0294189453125,
-0.045166015625,
-0.037109375,
0.005584716796875,
-0.02734375,
0.08056640625,
0.119140625,
-0.00872802734375,
0.00555419921875,
0.021728515625,
-0.02294921875,
0.049072265625,
-0.03857421875,
-0.0329589... | 11,950 | 11950 | |
Solutions for Chapter 3
Introduction to Automata Theory, Languages, and Computation
Solutions for Chapter 3
Solutions for Section 3.1
Solutions for Section 3.1... | 5 | [
-0.07080078125,
0.05029296875,
0.056884765625,
-0.0693359375,
-0.056884765625,
0.08642578125,
0.11572265625,
-0.0123291015625,
-0.02197265625,
-0.000820159912109375,
0.034912109375,
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0.0419921875,
0.0341796875,
-0.04541015625,
0.052734375,
-0.048095703125,
-0.00994873... | 11,951 | 11951 | |
Make Quick Work Of Impedance Measurements
Knowing the impedance of a transmission line can be useful for many design tasks. The line may be a piece of coaxial cable that can serve a test system setup in a laboratory, if its impedance could
be found. There are various techniques for determining the impedance of a transm... | 5 | [
-0.09765625,
0.0966796875,
0.036865234375,
-0.0311279296875,
-0.044677734375,
-0.061279296875,
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0.033203125,
-0.031982421875,
-0.0157470703125,
-0.034423828125,
-0.04443359375,
-0.022216796875,
-0.000446319580078125,
-0.09912109375,
-0.0703125,
0.0159912109375,
-0.01... | 11,952 | 11952 | |
S
Reverse Search Shellability checker ver 0.52
rsshell-0.52a.tar.gz (Jan 18, 2003.)
( -> 0.52a is a small fix from 0.52, just for letting new versions of gcc work.)
This version implemented M-sequence check in each step.
In most case in dimensions larger than 4 this makes the running time tremendously shorter, but i... | 4 | [
-0.01385498046875,
0.076171875,
-0.025634765625,
-0.04931640625,
-0.006256103515625,
-0.052978515625,
-0.055908203125,
0.0142822265625,
-0.06201171875,
0.00177001953125,
0.0001964569091796875,
-0.006103515625,
0.002655029296875,
-0.01611328125,
-0.062255859375,
-0.1025390625,
0.02966... | 11,953 | 11953 | |
Avoiding overflow with combination, permutation (nPr, nCr) functions
up vote 1 down vote favorite
I am attempting to do some statistics-related functions so I can carry out a few related procedures (ie: statistics calculations for probabilities, generate Pascal's triangle for an arbitrary depth,
etc).
I have encounte... | 5 | [
-0.032470703125,
-0.06689453125,
-0.0262451171875,
-0.07421875,
-0.035888671875,
-0.04638671875,
0.0037994384765625,
0.046875,
-0.03466796875,
0.06591796875,
-0.0966796875,
-0.005157470703125,
0.02880859375,
0.0174560546875,
0.0299072265625,
0.035400390625,
-0.01611328125,
0.066894... | 11,954 | 11954 | |
Primes in Quadratic Fields
July 21st 2010, 05:04 AM
Samson
Primes in Quadratic Fields
Hello all,
I was examining a case described in my book about primes in Quadratic Fields. The case describe examines positive prime numbers named "d" that are in Z and meet the condition that the quadratic
integers in Q... | 4 | [
-0.05322265625,
-0.049560546875,
0.0267333984375,
-0.0267333984375,
-0.035400390625,
0.05029296875,
0.057861328125,
-0.02587890625,
-0.007659912109375,
0.0234375,
-0.00543212890625,
0.048828125,
0.00012683868408203125,
0.06396484375,
0.017822265625,
0.0213623046875,
-0.00576782226562... | 11,955 | 11955 | |
245B, notes 0a. An alternate approach to the Carathéodory extension theorem
In this supplemental note to the previous lecture notes, I would like to give an alternate proof of a (weak form of the) Carathéodory extension theorem. This argument is restricted to the $\sigma$
-finite case, and does not extend the measure... | 4 | [
-0.0185546875,
0.00311279296875,
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0.0576171875,
0.00787353515625,
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-0.00994873046875,
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0.064453125,
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-0.0380859375,
-0.0179443359375,
0.044921875,
0.06396484... | 11,956 | 11956 | |
Lagrangian Notation
Date: 04/08/99 at 21:13:02
From: ben
Subject: Modern Algebra I
We are using Lagrange's Theorem. I think the notation has got me
flustered and i need some help. How would I find, for example:
[S4:<(123)>]
Date: 04/09/99 at 11:54:37
From: Doctor Teeple
Subject: Re: Modern Algebra I
Hi Ben,
... | 5 | [
0.040771484375,
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0.07958984375,
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-0.06884765625,... | 11,957 | 11957 | |
Evaluate the definite integral of y=1/cos ^2x.
x=0 to x=pi/4 - Homework Help - eNotes.com
Evaluate the definite integral of y=1/cos ^2x.
x=0 to x=pi/4
The definite integral will be evaluated using the Leibniz-Newton formula.
Int f(x)dx = F(b) - F(a), where x = a to x = b
We'll put y = f(x) = 1/(cos x)^2
We'll com... | 5 | [
0.04248046875,
0.00006818771362304688,
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0.007659912109375,
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... | 11,958 | 11958 | |
Decision Modeling and Optimization in Game Design, Part 5: Class Assignment Problems
This article is the fifth in a continuing series on the use of decision modeling and optimization techniques for game design. The full list of articles includes:
The spreadsheet for this article can be downloaded he... | 5 | [
-0.01385498046875,
0.07568359375,
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0.0203857421875,
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0.060791015625,
0.05859375,
... | 11,959 | 11959 | |
Number of double cosets
up vote 6 down vote favorite
3
If $G$ is a finite group and $H \leq G$ is a subgroup, then $|G/H| = \frac{|G|}{|H|}$.
Is there an easy way to compute $|K \backslash G / H|$, for $K \leq G$ also a subgroup?
gr.group-theory
I doubt that there is any "easy" method for this in general, sinc... | 4 | [
0.007659912109375,
-0.004608154296875,
0.00732421875,
-0.06689453125,
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-0.04150390625,
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0.041748046875,
0.032958984375,
... | 11,960 | 11960 | |
Powers of Matrices
Date: 6/27/96 at 14:54:56
From: Jose Miguel
Subject: Matrices Exponential
I am in the 2nd year of the "Mathmatics teaching" course, and I'll be
taking a test next Monday, and I can't get anywhere information about
the chapter concerning Matrices Exponential.
Would you send me some information/lin... | 5 | [
-0.0712890625,
0.0208740234375,
-0.1103515625,
-0.022705078125,
0.00994873046875,
-0.021728515625,
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-0.06396484375,
-0.0159912109375,
0.043212890625,
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0.02978515625,
0.041015625,
-0.0478515625,
-0.038330078125,
0.023681640625,
-0.045654296875,
0.0581054... | 11,961 | 11961 | |
A Spoonful of Python (and Dynamic Programming)
This primer is a third look at Python, and is admittedly selective in which features we investigate (for instance, we don’t use classes, as in our second primer on random psychedelic images). We do
assume some familiarity with the syntax and basic concepts of the language... | 5 | [
-0.1015625,
0.04345703125,
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-0.011474609375,
-0.0072021484375,
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0.10546875,
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0.041015625,
0.006805419921875,
-0.046142578125,
-0.021240234375,
-0.00842285... | 11,962 | 11962 | |
Representing Data
The information below is provided to help you review and practice converting numbers.
Binary
numbers are expressed in a positional notation system. Each digit represents a power of 2. In an 8-bit pattern the column positions have these values:
2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0
128 64 32 16 8 4 2 1
... | 4 | [
0.043701171875,
0.06298828125,
-0.13671875,
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-0.0517578125,
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0.0029754638671875,
-0.0615234375,
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-0.0299072265625,
0.01220703125,
... | 11,963 | 11963 | |
Shankar, PN (2005) Moffatt eddies in the cone. Journal of Fluid Mechanics, 539 . pp. 113-135. ISSN 0022-1120
Full text available as:
Abstract
Consider Stokes flow in a cone of half-angle a filled with a viscous liquid. It is shown that in spherical polar coordinates there exist similarity solutions for the velocity... | 4 | [
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0.01556396484375,
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0.03369140625,
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0.0216064453125,
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-0.10009765625,
-0... | 11,964 | 11964 | |
Annu. Rev. Astron. Astrophys. 1992. 30: 705-742
Copyright © 1992 by . All rights reserved
2. METHODS
Simple estimates imply that relaxation times of galaxies are many orders of magnitude longer than a Hubble time (e.g. Binney & Tremaine1987). Consequently, the dynamics of stars in galaxies is
well-described b... | 4 | [
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0.0272216796875,
-0.1005859375,
0.03369140625,
-0.10498046875,... | 11,965 | 11965 | |
ic
2. Radiation Basics
Although the CMBR is close to being an isotropic and thermal radiation background with simple spectral and angular distributions, it is useful to recall the formalism needed to deal with a general
radiation field, since the details of the small perturbations have great physical significance. The... | 4 | [
-0.01434326171875,
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0.0260009765625,
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0.046875,
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-0.02783203125,
0.05224609375,
-0.00823974609375,
-0.032470703125,
-0.05395507812... | 11,966 | 11966 | |
Factorising with Multilink
Copyright © University of Cambridge. All rights reserved.
'Factorising with Multilink' printed from http://nrich.maths.org/
We received a number of good solutions to this problem. Most of you noticed that the key to making rectangles that work for all bases is factorising quadratic equation... | 4 | [
0.017578125,
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-0.03759765625,
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0.05712890625,
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0.1142578125,
-0.03125,
0.0703125,
... | 11,967 | 11967 | |
Navigation Formula
Date: 10/21/96 at 9:9:50
From: Jerry Jost
Subject: Re: navigation formula
Hi,
I'm writing a program that deals with aircraft navigation. The only
part of the equations that I'm still having trouble with is finding
the formula that gives the final longitude and latitude if the
starting longitude a... | 5 | [
0.05419921875,
-0.02880859375,
-0.0068359375,
-0.07177734375,
0.033447265625,
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0.072265625,
-0.0191650390625,
0.01055908203125,
0.03662109375,
0.0306396484375,
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0.004180908203125,
0.0390625,
0.0238037109375,
-0.055419921875,
0.00... | 11,968 | 11968 | |
an
COMPUTING SCIENCE
How to Count
Counting is something we learn so early in life that we tend to dismiss it as a trivial skill, beneath the notice of mathematics. The recent U.S. presidential election suggests otherwise. Although
most of the vote-counting controversies last fall concerned what to count rather than h... | 4 | [
0.017578125,
-0.0791015625,
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0.03662109375,
-0.042724609375,
0.043212890625,
-0.03857421875,
0.0263671875,
0.06884765625,
0.026123046875,
-0.00823974609375,
-0.0025787353515625,
0.06982421875,
-0.03125,
-0.09765625,
-0.06396484375,
-0.051025390625,
-0.0269775390625,... | 11,969 | 11969 | |
Math Help
y=2^3x^2 i dont know how to do this question at all, any help would be greatly appreciated.
And what is the question? Would it be: Find the dy/dx? y = 2^(3x^2) d/dx a^u = ln(a)*a^u *du/dx So, dy/dx = ln(2)*[2^(3x^2)]*6x dy/dx = 6ln(2)*x*2^(3x^2) ---------answer dy/dx = 6ln(2) *x *8^(x^2) dy
/dx = ln(2^6) *x... | 5 | [
-0.000530242919921875,
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-0.033447265625,
0.041748046875,
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0.040283203125,
0.0224609375,
0.07666015625,
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-0.004180908203125,
0.018798828125,
0.027099609375,
0.068359375,
-0.15332031... | 11,970 | 11970 | |
whats the function?
June 10th 2010, 08:21 PM #1
Newbie
Joined
May 2010
Posts
24
whats the function?
Three students in an outdoor pursuits program collaborated to write an adventure travel guidebook for Alberta and BC. Two local publishers are interested in marketing and publishing it and both
anticip... | 4 | [
-0.024658203125,
0.0283203125,
-0.01220703125,
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-0.0361328125,
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0.039306640625,
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0.058349609375,
0.0262451171875,
-0.0286865234375,
-... | 11,971 | 11971 | |
How much energy has square wave and sinewave of X Hz?
1. 5th August 2009, 23:15 #1
Member level 1
Join Date
Jul 2009
Posts
39
Helped
1 / 1
Points
834
Level
6
energy of sine wave
I confused. Say I have both square wave and sinewave of X Hz.... | 5 | [
0.00872802734375,
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0.06396484375,
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0.1318359375,
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0.013122558... | 11,972 | 11972 | |
y
Week 1
Monday, July 9th
Using MAT tiles participants investigated the problem of which combinations of regular polygons tile round a point.
Investigation of integer solutions to 1/a +1/b + 1/c = 1/2.
HTML file: Regular Polygons
Tuesday, July 10th
I handed out the Altair problem as a starter. This is a tessella... | 4 | [
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0.05859375,
0.04638671875,
-0.042236328125,
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0.05859375,
-0.00084686279296875,
-0.0255126953125,
-0.0045166015625,
-0... | 11,973 | 11973 | |
Problem to a solution
up vote 2 down vote favorite
1
Consider an NP hard problem $\frak P$ which takes an input of length n
$\frak P$ can be solved partially by a factor $ p_i = p(n,i)\in$ [0,1)...
by a polynomial time algorithm $\mathcal A(i)$ having time complexity $T_i$(n) $\in [1,\infty)$.
Let it be that with s... | 4 | [
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-0.0257568359375,
-0.0458984375,
0.0213623046875,
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0.07763671875,
0.0208740234375,
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0.05322265625,
0.005645751953125,
0.026611328125,
0.059814453125,
0.032958984375,
-0.024... | 11,974 | 11974 | |
basis theorem
Contents
Idea
The basis theorem for vector spaces states that every vector space $V$ admits a basis, or in other words is a free module over its ground field of scalars. It is a famous classical consequence of the
axiom of choice (and is equivalent to it by a result of Andreas Blass, proved in 1984).
S... | 4 | [
-0.050537109375,
0.0146484375,
0.032958984375,
0.0296630859375,
0.126953125,
0.08837890625,
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0.054443359375,
0.024658203125,
-0.035888671875,
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0.05810546875,
-0.0439453125,
0.02001953125,
-0.0013427734375,
-0.003692626953125,
0.06689453125,... | 11,975 | 11975 | |
Random knot on six vertices
up vote 26 down vote favorite
7
This question is inspired by Joseph O'Rourke's beautiful question on random knots. Choose an random ordered 6-tuple of points on the unit sphere in $\mathbf{R}^3$, and form a knot by connecting
successive pairs of points in the 6-tuple by sticks (see the pict... | 4 | [
-0.004730224609375,
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-0.046875,
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0.008056640625,
0.0213623046875,
0.06201171875,
0.00823974609375,
0.0341796875,
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0.0164794921875,
-0.043212890625,
-0.0712890625,
-0.0029296875,
-0.035400390625,
-0... | 11,976 | 11976 | |
real roots
Member
Registered: 2012-07-20
Posts: 236
Re: real roots
Re: real roots
Hi jacks;
I forgot that idea. That is best.
In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable... | 5 | [
-0.1025390625,
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0.00909423828125,
0.10009765625,
-0.0234375,
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0.0019378662109375,
-0.07373046875,
-0.07421875,
-0.048583984375,
-0.03... | 11,977 | 11977 | |
Encapsulation theory: radial encapsulation.
Edmund Kirwan^*
Abstract
This paper introduces the concept of radial encapsulation, whereby dependenc... | 4 | [
-0.007049560546875,
0.0206298828125,
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0.0390625,
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2.4.1 Representations for Complex Numbers | SICP in Clojure
2.4.1 Representations for Complex Numbers
We will develop a system that performs arithmetic operations on complex numbers as a simple but unrealistic example of a program that uses generic operations. We begin by discussing two plausible
representations fo... | 4 | [
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0.023681640625,
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-0.0439453125,
-0.01116943359375,
... | 11,979 | 11979 | |
Physics Archive | October 11, 2011 | Chegg.com
Physics Archive: Questions from October 11, 2011
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
2 answers
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• pmalua1 asked
1 answer
• pmalua1 as... | 5 | [
-0.1044921875,
0.00421142578125,
0.0017242431640625,
0.1279296875,
-0.05859375,
-0.07666015625,
-0.050048828125,
0.06640625,
-0.033203125,
0.042724609375,
0.00250244140625,
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-0.05517578125,
-0.048095703125,
0.0157470703125,
0.04541015625,
-0.018310546875,
0.01306152... | 11,980 | 11980 | |
Averaging 30 Miles Per Hour
Date: 03/17/97 at 17:58:41
From: by way of Sarah Seastone
Subject: How to Average 30 MPH
You go on a car trip. For half the distance, you travel at 15 mph.
What speed should you travel for the rest of your trip such that you
average 30 mph?
Hint: Don't assume the obvious!
Thanks for yo... | 4 | [
0.0289306640625,
0.0291748046875,
0.07763671875,
-0.01458740234375,
0.020263671875,
-0.042724609375,
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0.0390625,
-0.042236328125,
0.0244140625,
0.05908203125,
-0.11279296875,
-0.0220947265625,
0.052978515625,
-0.049072265625,
0.051025390625,
0.0147705078125,
0.009582... | 11,981 | 11981 | |
Rationalizing Denominators with Multiple Radicals
Date: 11/04/2004 at 04:09:57
From: chi thien
Subject: i need help
How can I rationalize the denominator of a fraction when it contains
many square roots, such as:
1
-------------------------------------------------
sqrt(3) + sqrt(5) + sqrt(7) + ... | 4 | [
-0.07373046875,
0.0025634765625,
-0.0262451171875,
0.07958984375,
0.0390625,
0.030029296875,
-0.045654296875,
0.035888671875,
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0.0174560546875,
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0.10205078125,
-0.027587890625,
-0.01226806640625,
-0.06005859375,
0.0... | 11,982 | 11982 | |
Spatial isomorphisms of tensor product of factors
up vote 2 down vote favorite
1
Suppose $N \subset M$ are two factors, neither of them Type I, acting on a separable Hilbert space $H$. Let $\pi_1$ be a faithful normal representation of $N$ and $\pi_2$ a faithful normal
representation of $M'$. We can consider the von N... | 5 | [
0.0189208984375,
-0.126953125,
-0.0400390625,
-0.04833984375,
-0.061767578125,
0.08984375,
-0.00970458984375,
-0.044189453125,
-0.0673828125,
-0.1259765625,
0.051025390625,
-0.03125,
0.0390625,
0.0361328125,
0.0419921875,
0.08642578125,
0.0546875,
0.08447265625,
-0.03271484375,
... | 11,983 | 11983 | |
Pascal's Triangle and Binomial Coefficients
Date: 09/11/2001 at 16:37:51
From: Michelle
Subject: Binomial coefficients and pascals triangle
Why are Pascal's triangle and binomial coefficients the same? I
understand how to construct Pascal's triangle, and how the numbers in
the triangle correspond to the numbers whe... | 4 | [
-0.0189208984375,
-0.01336669921875,
-0.01953125,
-0.0277099609375,
-0.0233154296875,
0.0556640625,
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-0.000782012939453125,
0.0556640625,
0.068359375,
0.0078125,
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-0.029052734375,
0.054443359375,
0.0201416015625,
-0.03271484375,
... | 11,984 | 11984 | |
.
6. THE PICTURE OF OUR UNIVERSE
Given the results from observational cosmology discussed in the previous two sections we are now able to present a concrete picture of the universe, as opposed to the traditional array of models with
very different properties. Taking a more comprehensive view, in Table 2 we present a ... | 4 | [
-0.0279541015625,
-0.052001953125,
0.007659912109375,
0.078125,
0.010009765625,
0.0576171875,
-0.05224609375,
0.0306396484375,
-0.0419921875,
-0.06689453125,
-0.017578125,
-0.0771484375,
-0.08349609375,
0.0004711151123046875,
0.0201416015625,
-0.09228515625,
0.055419921875,
-0.0668... | 11,985 | 11985 | |
linear combination of curves to match a single curve
up vote 1 down vote favorite
I have a set of vectors (length of 50, essentially a set of curves) that i want to try to match another single curve(vector) and obtain the coefficients of each of the vectors in the first set to
match the second curve. The coefficients ... | 5 | [
-0.052734375,
-0.078125,
-0.042236328125,
-0.01171875,
0.0118408203125,
0.0184326171875,
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0.026611328125,
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0.00860595703125,
0.047607421875,
0.140625,
-0.09814453125,
-0.01953125,
... | 11,986 | 11986 | |
dinatural transformation
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Contents
Idea
Dinatural transformations are a generalization of ordinary natural transformations and also of extranatural transformations. The differences can be summarized thusly:
• In an ordi... | 4 | [
-0.0458984375,
-0.06640625,
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-0.0233154296875,
-0.01104736328125,
0... | 11,987 | 11987 | |
Notes: Gabaix (2012)
1. Introduction
In this post, I review the sparsity based model of bounded rationality introduced in Gabaix (2011) and then extended in Gabaix (2012).
In the baseline framework presented in Gabaix (2011), a boundedly rational agent faces the problem of which action to choose in order to maximize ... | 4 | [
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0.11181640625,
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0.10791015625,... | 11,988 | 11988 | |
Difference of Squares of Two Integers
Date: 7/2/96 at 8:2:7
From: Anonymous
Subject: Difference of Squares of Integers
1. Which positive integers can be written as the difference
of the squares of two integers? Explain your reasoning.
I know that the numbers that are squared cannot be equal, so I came up
with thi... | 4 | [
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0.06787109375,
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0.052978515625,
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0.028076171875,
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0.0400390625,
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-0.0277099609375,
0.005950927734375,
-0.0... | 11,989 | 11989 | |
Is the stalk of the (co)limit of sheaves equal to the (co)limit of the stalks?
up vote 4 down vote favorite
1
More precisely, if $\mathcal F_i$ is a system of sheaves, is it the case that $$ (\lim \mathcal F_i)_p = \lim ((\mathcal F_i)_p) $$ and similarly for colimits? I can see how to get a map $$ (\lim \
mathcal F_i... | 5 | [
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0.048828125,
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0.0517578125,
0.03344726... | 11,990 | 11990 | |
The Impagliazzo Hard-Core Lemma for the Mathematician
At the conference I was at last week, I was asked by a mathematician about the exact statement of the Impagliazzo Hard-Core Lemma, and whether I could state it without saying “algorithm.”
So I gave the following statement:
Theorem 1 (Impagliazzo Hard-Core Lemm... | 4 | [
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-0.0556640625,
-0.078125,
-0.028564453125,
0.07373046875,
-0.0013275... | 11,991 | 11991 | |
Convergence of Gaussian measures
up vote 3 down vote favorite
1
Let $X$ be a separable Banach space with its Borel $\sigma$-algebra $\mathcal F$. Let $x_n \to x$ in $X$. Fix a Gaussian covariance operator $K$, and let $\mathbb P_n$ and $\mathbb P$ be Gaussian
measures on $X$ with covariance $K$ and means $x_n$ and $x$... | 5 | [
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-0.072265625,
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-0.02197265625,
0.01312255859375,
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0.03125,
-0.04833984375,
-0.05419921875,
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0.07421875,
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-0.043212890625,
-0.007659912109375,
-0.032958984375,
0.033203125,
0.03759765625,
0.0336... | 11,992 | 11992 | |
Data Analysis
9.7 Data Analysis
This section under major construction.
Normal distribution. Sum of a bunch of random coin flips.
Random sampling. Physical measurement of some unknown constant, e.g., gravitational constant. There is some error associated with each measurement, so we get slightly different results ea... | 4 | [
-0.045166015625,
0.0703125,
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0.04736328125,
-0.056884765625,
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-0.12353515625,
-0.0225830078125,
-0.08837890625,
0.07421875,
-0.05249023437... | 11,993 | 11993 | |
Coverage statistics for sequence census methods
Abstract
Background
We study the statistical properties of fragment coverage in genome sequencing experiments. In an extension of the classic Lander-Waterman model, we consider the effect of the length distribution of
fragments. We also introduce a coding of the shape o... | 4 | [
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-0.06494140625,
-0.016... | 11,994 | 11994 | |
Proof of trig identities
May 27th 2009, 03:26 AM #1
Junior Member
Joined
May 2009
Posts
37
cos(x+y) x cos(x-y) = cos squared y - sin squared x
= cos squared x - sin squared y
used double angle formulae except seemed to only get up to
cossquaredx cossquared y - sin squared x sin squared y ??
... | 4 | [
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0.04931640625,
0.07763671875,
-0.0205078125,
0.00897216796875,
0.0... | 11,995 | 11995 | |
Generating correlated numbers
up vote 6 down vote favorite
5
Here is a fun one: I need to generate random x/y pairs that are correlated at a given value of Pearson product moment correlation coefficient, or Pearson r. You can imagine this as two arrays, array
X and array Y, where the values of array X and array Y must... | 4 | [
-0.0260009765625,
-0.0966796875,
-0.029296875,
0.0020294189453125,
-0.03369140625,
-0.009521484375,
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-0.1201171875,
-0.00958251953125,
-0.0166015625,
-0.034423828125,
0.0927734375,
0.0419921875,
0.052001953125,
0.01263427734375,
0.006500244140625,
0.014892578125,
0.... | 11,996 | 11996 | |
Using the Pythagorean Theorem to find a Missing Leg - Concept
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Using the Pythagorean Theorem to find a Missing Leg - Concept 27,590 views
The legs of a right triangle are the sides that are adjacent to its right... | 4 | [
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0.0296630859375,
0.000179290771484375,
-0.09326171... | 11,997 | 11997 | |
Another proof by induction.
July 13th 2010, 07:45 AM #1
Newbie
Joined
Feb 2010
From
Canada
Posts
15
Another proof by induction.
I was looking over this problem and im pretty sure you use induction.. but what would your base case be and when subing (k+1) for n, what is the inital formula we want to ac... | 5 | [
-0.053466796875,
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-0.0225830078125,
0.0255126953125,
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0.0184326171875,
0.0732421875,
-0.087890625,
-0.03955078125,
0.0791015625,
-0.0015... | 11,998 | 11998 | |
Looking for an appealing counterexample in probability
up vote 15 down vote favorite
4
There is a commonly-encountered-but-wrong rule of thumb that says something like
If a probability distribution is positively skewed, its mean is greater than its median.
(You sometimes also see it phrased in terms of mean and ... | 5 | [
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... | 11,999 | 11999 |