content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
On the proof of Modified Vitali Lemma.
up vote 1 down vote favorite
1
I see the following theorem in Lihe Wang's A geometric approach to the Calderon--Zygmund estimates
(Modified Vitali) Let $0<\varepsilon<1$ and let $C\subset D\subset B_1$ be two measurable sets with $|C|<\varepsilon |B_1|$ and satisfying the f... | 4 | [
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0.036865234375,
-0.03198... | 13,200 | 13200 | |
Solving For N. We Get = -2/3. Applying KVL Around ... | Chegg.com
circuit
Image text transcribed for accessibility: Solving for n. we get = -2/3. Applying KVL around the outer loop to get VTh across terminals a-b, we obtain -12 + 6i + 3i2 + 2(0) + VTh = 0 VTh = 22 V For
maximum power transfer, RL = RTh = 9 Ohm and the... | 5 | [
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What is the standard deviation of the following data? round your answer to two decimal places.10, 12, 15, 18, 11, 13,... - Homework Help - eNotes.com
What is the standard deviation of the following data? round your answer to two decimal places.
10, 12, 15, 18, 11, 13, 14, 16, 19, 20
The standard deviation is the squar... | 4 | [
-0.007293701171875,
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-0.01... | 13,202 | 13202 | |
org.jscience.mathematics.vector
Package org.jscience.mathematics.vector
See: Description
• Class Summary
Class Description
This class represents an ... | 5 | [
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Yet another remark on the Friedlander-Iwaniec sum
I just remembered a point I had intended to make concerning the exponential sum of Friedlander and Iwaniec that is crucial in Zhang’s work on gaps between primes, but which slipped my mind. This may
present the argument in my note with Fouvry and Michel in a more enligh... | 4 | [
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0.00921630859375,
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-0.0051... | 13,204 | 13204 | |
Homework Help
Posted by Ashley on Thursday, November 1, 2012 at 1:29pm.
A 190-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force
would have to be exerted on the rope to bring the... | 4 | [
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0.03125,
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-0.... | 13,205 | 13205 | |
Determining the Winner of a Tennis Match
Date: 10/9/95 at 14:9:56
From: Jean M. Campbell
Subject: math
How many matches will it take to determine the champion in a tennis
tournament that started with 89 players?
Date: 10/9/95 at 16:9:4
From: Doctor Ken
Subject: Re: math
Hello!
First of all, let it be known that ... | 5 | [
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0.048... | 13,206 | 13206 | |
Schur functors II
Preface
This is a paper that John Baez and Todd Trimble are writing, a kind of continuation of Schur functors I.
Introduction
The ring of symmetric functions, commonly called $\Lambda$, has a wealth of fascinating structure. It is not only a commutative ring, but also a ‘cocommutative coring’, and ... | 4 | [
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Area of a Lawn
Date: 09/04/2002 at 10:55:31
From: Randy Marshburn
Subject: Figuring square yards of grass for a lawn
I have two areas of lawn that I want to sod with new grass, and I
don't know how much sod to buy. One lawn is 14 yds wide at one end and
7 yds wide at the other end. The lengths are 16 yds and 20 yds. ... | 4 | [
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0.03... | 13,208 | 13208 | |
A Trigonometry Integral Requiring Two Substitutions
Date: 05/03/98 at 17:14:16
From: Paul.
Subject: Calculus Integration.
What is the integral of
sqrt(1 + sin(x)),
where sqrt stands for "square root of"?
-Paul
Date: 05/04/98 at 16:58:23
From: Doctor Sam
Subject: Re: Calculus Integration.
Paul,
This is a tr... | 5 | [
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Fundamental Theorem of Algebra (With Picard's Little Theorem)
Fundamental Theorem of Algebra (With Picard’s Little Theorem)
This post assumes familiarity with some basic concepts in complex analysis, including continuity and entire (everywhere complex-differentiable) functions. This is likely the simplest proof of the... | 5 | [
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0.026855468... | 13,210 | 13210 | |
Transposed Conditionals, Shrinkage, and Direct and Indirect... : Epidemiology
John Ioannidis^1 is to be congratulated on promoting an awareness of the fallibility of research findings. I agree with his conclusions that true associations are inflated (on average) but I have a
somewhat different view as to why, which I s... | 4 | [
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Intermediate submodels and the continuum hypothesis
up vote 5 down vote favorite
1
Let $V$ be a model of $ZFC+GCH$ and let $V[G]$ be a generic extension of $V$ in which $CH$ fails.
Question 1. Is there a model $W$ such that:
1) $V \subseteq W \subseteq V[G],$
2) $W\models CH,$
3) $W$ and $V[G]$ have the same cardi... | 5 | [
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Lecture 28: Divergence Theorem
Let's get going. Yesterday we learned about flux and we have seen the first few examples of how to set up and compute integrals for a flux of a vector field for a surface. Remember the flux of a
vector field F through the surface S is defined by taking the double integral on the surface o... | 5 | [
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0.076171875,
-... | 13,213 | 13213 | |
Killing Fields to Laplacian
up vote 4 down vote favorite
1
One is familiar from Quantum Theory that each of the angular momentum generators $L_{x,y,z}$ are Killing Fields for the standard metric on $S^2$ and the sum of the squares of these generators gives
the Laplacian on R^3.
It seems from some literature that this... | 4 | [
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[Numpy-discussion] Cross-covariance function
josef.pktd@gmai... josef.pktd@gmai...
Thu Jan 26 18:43:14 CST 2012
On Thu, Jan 26, 2012 at 3:58 PM, Bruce Southey <bsouthey@gmail.com> wrote:
> On Thu, Jan 26, 2012 at 12:45 PM, <josef.pktd@gmail.com> wrote:
>> On Thu, Jan 26, 2012 at 1:25 PM, Bruce Southey <bsouthey@gmai... | 5 | [
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dy
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maheshmeghwal9 Group Title
In the arrangem... | 5 | [
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Three laws – part 3
In Hardware on Apr 29, 2013 at 00:01
Yesterday’s post was about Kirchoff’s Current Law.
Now let’s look at the second version of that law, Kirchhoff’s Voltage law:
This law says something about the voltages in a circuit: voltages cancel out, regardless of which way you follow a path in the circui... | 4 | [
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-... | 13,217 | 13217 | |
[SciPy-user] filling array without loop...
Anne Archibald peridot.faceted@gmail....
Sun Apr 22 14:31:26 CDT 2007
On 22/04/07, fred <fredmfp@gmail.com> wrote:
> Each array cell is a convolution that I wrote as a scalar product
> between KW, a weights filter vector, and input_data,
> the "raw" data (3D); output_data i... | 4 | [
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... | 13,218 | 13218 | |
Why Divide Hours into 1080 Parts?
Hebrew Calendar Studies:
Why Divide Hours into 1080 Parts?
Bookmark or cite this page as <http://www.sym454.org/hebrew/chelek.htm>
by Dr. Irv Bromberg, University of Toronto, Canada
[Click here to go back to the Hebrew Calendar Studies home page]
Menu of Topics:
Introduction
The ... | 4 | [
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0.0634765... | 13,219 | 13219 | |
History Of The Theory Of Numbers - I
54 HlSTOKT OF THE THEORY OP NUMBERS.
a/J52-l; for A = 14, take 5 = 2, whence P=5. Again, the sum of the aliquot parts of 3P2 is (2+P)2. The numbers AP and BPQ have the same sum of divisors if a(P+l) = 6(P+l)(Q+l), i. 6., if Q = a/6-l; taking a = 24, b=6, we ha... | 4 | [
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On limits and Colimits
up vote 1 down vote favorite
2
I want to ask a stupid question. I wonder whether following morphism exists in general
Let I be an infinite set. i belongs to I
Hom(A,colimBi)--->limHom(A,Bi) and
ColimHom(A,Bi)---->Hom(A,colimBi)
What I know is if we replace lim by infinite product and colim b... | 4 | [
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... | 13,221 | 13221 | |
string structure
Context
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Higher spin geometry
String theory
Ingredients
Critical string models
Extended objects
Topological strings
Backgrounds
Phenomenology
Contents
A string structure on a manifold is a higher version of... | 4 | [
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Methods of Calculating Relative Background Blur
Started Nov 28, 2012 | Discussions thread
Forum Pro • Posts: 14,950
Methods of Calculating Relative Background Blur
Nov 28, 2012
The subject of this thread relates to mathematical formulas for the purpose of estimating the amount of relative background blur in image... | 4 | [
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... | 13,223 | 13223 | |
Secret Transmissions
Copyright © University of Cambridge. All rights reserved.
Agent X is a secret agent in the field. She needs to transmit enemy movements back to base. Her opportunities to send messages are limited so she has to transmit the data as accurately and
efficiently as possible.
To transmit the compass d... | 4 | [
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0.030273437... | 13,224 | 13224 | |
Absolute Measure of Dispersion
Absolute Measure of Dispersion gives an idea about the amount of dispersion/ spread in a set of observations. These quantities measures the dispersion in the same units as the units of original data.
Absolute measures cannot be used to compare the variation of two or more series/ data se... | 4 | [
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0.0986328125,
-... | 13,225 | 13225 | |
index
This page is about the notion of index in analysis/operator algebra. For other notions see elsewhere.
Context
Index theory
Functional analysis
Overview diagrams
Basic concepts
Theorems
Topics in Functional Analysis
Operator algebra
AQFT and operator algebra
Definitions
Theorems
States and observab... | 4 | [
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A set of vector such that any vector is orthogonal to to certain other vector (a generalization of the biorthogonal system of vectors))
up vote 1 down vote favorite
We are given vectors $\mathbf a_1,\dots,\mathbf a_N\in\mathbb C^n$. Let these vectors be columns of $n$-by-N matrix $\mathbf A$. We additionally know that... | 4 | [
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0.00885009765625,
... | 13,227 | 13227 | |
Web Stiffeners
Section 8.6.3
Transverse Stiffeners for Shear
... | 4 | [
-0.10400390625,
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0.08056... | 13,228 | 13228 | |
Can $L^{2}$ be represented as a space of functions (not equivalence classes)?
up vote 21 down vote favorite
9
Let $X$ be the vector space of all Lebesgue-measurable functions $f:\left[a,b\right]\rightarrowℝ$ such that $\int^{b}_{a}\left|f\left(x\right)\right|^{2}dx<\infty$ (Lebesgue integral). Then we can
define an eq... | 4 | [
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0.025... | 13,229 | 13229 | |
Math Forum Discussions
Re: Go from any vertex to any other vertex in one Simplex method pivot.
Posted: Jan 20, 2013 9:53 AM
"analyst41@hotmail.com" <analyst41@hotmail.com> writes:
>Consider the LP
>
>Max Z =3D x1 + x2
>
>such that
>
>0<=3Dx1 <=3D1
>0<=3Dx2 <=3D 1.
>
>If you start from (Z,x1,x2) =3D (0,0,0) to go the o... | 5 | [
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0.051... | 13,230 | 13230 | |
circle n-bundle with connection
This page is currently being reworked into the more comprehensive discussion at Smooth∞Grpd
Context
Bundles
Context
Classes of bundles
Universal bundles
Presentations
Examples and Applications
Differential cohomology
Ingredients
Connections on bundles
Higher abelian differ... | 4 | [
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0.018798828125,
0.0390625,
0.0244140625,
... | 13,231 | 13231 | |
Phone Numbers With Duplicate Digits
Date: 03/25/2003 at 10:52:26
From: David
Subject: Different possible phone numbers
Someone is trying to remember a phone number but cannot remember
the whole thing. He remembers 279-XXXX. He also remembers that the
last 4 numbers must contain a 2 and a 7 and a 9. He only has 2, 7, ... | 4 | [
-0.0113525390625,
-0.08447265625,
0.0213623046875,
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0.0185546875,
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0.0142822265625,
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-0.052978515625,
-0.07666015625,
-0.... | 13,232 | 13232 | |
K-MODDL > Tutorials > Mathematics Behind the Peaucellier-Lipkin Linkage
S35: Brief Description of the Mathematics Behind the Peaucellier-Lipkin Linkage
By Daina Taimina and David W. Henderson
This linkage starts with the question: What is straight?
When using a compass to draw a circle, we are not starting with a f... | 4 | [
-0.109375,
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... | 13,233 | 13233 | |
Algorithm of the Week: Minimum Spanning Tree
Introduction
Here’s a classical task on graphs. We have a group of cities and we must wire them to provide them all with electricity. Out of all possible connections we can make, which one is using minimum amount
of wire.
To wire N cities, it’s clear that, you need to use... | 4 | [
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-0.010... | 13,234 | 13234 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'The Public Key' printed from http://nrich.maths.org/
The article 'Public Key Cryptography ' gives a detailed explanation of how the method works and gives you help in working with modulus arithmetic.
This problem simply asks you to work out $... | 5 | [
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... | 13,235 | 13235 | |
Relative extremely disconnected space
up vote 2 down vote favorite
A topological space $X$ is called relative extremely disconnected if it has a base $B$ (for open subsets) such that disjoint elements in $B$ have disjoint closure. Does it exist an infinite Hausdorff
space $X$ which is not relative extremely disconnect... | 5 | [
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0.0400390625,
-0.06640625,
-0... | 13,236 | 13236 | |
How to calculate the angle between a line and the horizontal axis?
up vote 109 down vote favorite
36
I think an image describes best what I want:
Given (P1[x],P1[y]) and (P2[x],P2[y]) what is the best way to calculate this angle? The origin is in the topleft and only the positive quadrant is used.
trigonometry
cl... | 4 | [
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-0.0390625,
-0.0030364990... | 13,237 | 13237 | |
How Do You Know When to Stop Factorizing?
Date: 03/09/2010 at 16:32:51
From: Marianne
Subject: Factorize
How do you know when to stop factorizing?
For example,
6pq - 4qr - 8pr = 2(3pq - 2qr - 4pr)
Can 3pq - 2qr - 4pr still be factored?
Or
10s^2t + 15st^2 + 5s^2 = 5s(2st + 3t^2 + s)
Can (2st + 3t^2 + s) st... | 5 | [
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-0.050537109375,
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0.04711... | 13,238 | 13238 | |
Posts about Sum of IID on Studying for SOA Exam C
Approximating Aggregate Losses
An aggregate loss $S$ is the sum of all losses in a certain period of time. There are an unknown number $N$ of losses that may occur and each loss is an unknown amount $X$. $N$ is called the
frequency random variable and $X$ is called t... | 5 | [
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0.11376953125,
0.013671875,
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0.1259765625,
-0.0009918212890625,
-0.0157470703125,
-0.0693359375,
0.0174560546875,
0.0... | 13,239 | 13239 | |
Differential Equations
It is not easy to solve differential equations, and often impossible, but the study is rewarding
A differential equation is an algebraic relation between variables that includes the rates of change of the variables as well as their instantaneous values. It is an excellent way to express many
ph... | 4 | [
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-0.01116943359375,
-0.0252685546875,
-0.052001953125,
0.125,
-0.0... | 13,240 | 13240 | |
Rata Die Algorithms
5.1 Rata Die Algorithms
The Rata Die is a count of the number of days since a base date of December 31 of the year zero in the proleptic Gregorian calendar. Thus Rata Die day one occurs on January 1 of the year 1 which
begins at Julian Day Number 1721425.5. The algorithm for calculating the Rata D... | 4 | [
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0.033935546875,
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-0.05322265625,
-0.0927734375,
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-0.03076171875,
0.017333984375,
-0.02783203125,
0.01239013671875,
-0.03369140625,
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-0.0556640625,
0.02880859375,
-0.0230712890625,
-0.08251953125,
-0.1494140625,
-0... | 13,241 | 13241 | |
Feedback
Types of Feedback Control
Previous: System Model.
All the graphs shown in this section use parameter values for the thermal model that are typical of a small domestic cooker and the set-point temperature T[s] is indicated by the red lines.
On-Off Control
This is the simplest form of control, used by almos... | 4 | [
0.0230712890625,
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0.09716796875,
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0.09228515625,
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0.025390625,
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0.025146484375,
-0.095703125,
-0.0595703125,
-0.0233154296875,
0.091796875,
-0.0270... | 13,242 | 13242 | |
What can be proved about the Ramanujan conjecture using elementary means?
up vote 22 down vote favorite
5
The Ramanujan conjecture states that the coefficients $\tau(n)$ in the identity
$$q\prod_{m=1}^\infty(1-q^m)^{24}=\sum_{n=1}^\infty\tau(n)q^n$$
satisfy the inequality $|\tau(n)|\leq d(n)n^{11/2}$, where $d(n)$ i... | 4 | [
-0.0888671875,
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0.06005859375,
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0.050048828125,
0.048095703125,
-0.01153564453125,
0.0021209716796875,
-0.005126953125,
-0.01068115234375,
-0.0... | 13,243 | 13243 | |
Square Roots of Numbers between 0 and 1
Date: 07/08/99 at 11:00:32
From: eric s adair
Subject: Square Roots of Numbers between 0 and 1
Why do square roots always come closer to the number one? If I take
the square root of 5 and keep taking the square root of the square
root of the square root etc., it eventually equ... | 4 | [
-0.0400390625,
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0.0128173828125,
-0.10546875,
-0.0791015... | 13,244 | 13244 | |
Intersection, Difference, Union
Date: 12/18/2002 at 21:10:00
From: Phoebe
Subject: Algebra 1
I do not understand 'members of both A but not of B and members of
both A and B'. My math book does not introduce these sorts of
problems. All it covers is sets and subsets, rational numbers, whole
mumbers, etc.
Example: A =... | 4 | [
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0.0084228515625,
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0.003585815429... | 13,245 | 13245 | |
Arcsecond
Why is kinetic energy proportional to v^2?
November 23, 2013
I answered this question here, channeling this. That seems like the best answer – kinetic energy is proportional to v^2 because of Galilean relativity.
The more common answer, though, is to say that work is force times distance. Then because f=ma... | 5 | [
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-0.052978515625,
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0.052734375,
-... | 13,246 | 13246 | |
Applying The Operating Gain Design Approach
The operating-gain design method gain provides higher levels of gain than earlier design approaches, although it may not guarantee unconditional stability.
Amplifier designers have so far learned about the use of the unilateral gain design approach as well as a method for ac... | 4 | [
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-0.0693359375,
-0.0260009765625,
0.0888671875,
0.054443359375,
0.031982421... | 13,247 | 13247 | |
All Correlations Tend to One... - Keplerian Finance
Stress Markets and Correlation
We have all heard statements to the effect that “During market corrections all correlations tend to one.” Often it’s accompanied either by an explanation unsupported by any real critical thinking or
presented as some deep impenetrable ... | 4 | [
0.0203857421875,
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0.... | 13,248 | 13248 | |
Percolation
2.4 A Case Study: Percolation
We conclude our study of functions and modules by considering a case study of developing a program to solve an interesting scientific problem. as Monte Carlo simulation to study a natural model known
as percolation.
Percolation.
We model the system as an
N
-by-
N
grid o... | 4 | [
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0.02587890625,
-0.06347656... | 13,249 | 13249 | |
Two-Step Equations and Equations with Variables
Date: 5/17/96 at 21:59:21
From: Shelly J Tyre
Subject: Equation
Hi. I am a 7th grade student. I usually get these things pretty well,
but I suffer at 2-step equations and the ones with variables on both
sides. I'm in pre-algebra. The question is, can you help me solve
... | 4 | [
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0.09716796875,
-0.11474609375,
0.0224609375,
-0.104980... | 13,250 | 13250 | |
Average Speed
Associated Topics || Dr. Math Home || Search Dr. Math
Average Speed
Date: 08/26/97 at 20:50:32
... | 4 | [
0.027099609375,
0.005401611328125,
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-0.06201171875,
0.06298828125... | 13,251 | 13251 | |
how demonstrate integral (1_2)e^x 1/x dx - Homework Help - eNotes.com
how demonstrate integral (1_2)e^x 1/x dx <e^4-e^2+1)/2?
with 2x y <x^2+y^2
You need to prove the given inequality, using the `2xy <= x^2 + y^2` , hence, you may consider two functions, such that:
`f(x) = e^x, g(x) = 1/x`
Evaluating the following... | 5 | [
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0.0439453125,
0.035888671875,... | 13,252 | 13252 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
This problem is in two parts. The first uses logic in the context of English language whereas the second uses logic in the clearer context of mathematics Part 1.
Which of the following are certainly true, which are certainly false. How many sta... | 4 | [
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-0.0... | 13,253 | 13253 | |
Logarithmic Functions - Problem 3
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Logarithmic Functions - Problem 3 2,312 views
Hi, I want to talk about a really important logarithm, the common logarithm.
The common log is just a log base 10 of x, although ... | 4 | [
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0.07470703125,
0.08203125,
-0.1484375,
0.0888671875,
-0.0708... | 13,254 | 13254 | |
General Euclid-Fermat sequences
up vote 5 down vote favorite
2
Question
Fermat sequence
$$ \forall_{n=1\ 2\ \ldots}\quad F_n:=2^{2^{n-1}}+1$$
has every two different terms relatively prime, and $1$ does not appear as any of them. Thus it would be a nice (algorithmic, algebraic) substitute for the rather compicated ... | 5 | [
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... | 13,255 | 13255 | |
pecial
July 23rd
July 23rd
Special Products
After studying this lesson, you will be able to:
• Use Special Products Rules to multiply certain polynomials.
We will consider three special products in this section.
Square of a Sum
(a + b)^ 2 = a^ 2 + 2ab + b^ 2
Example 1
(x + 3)^ 2
We are squaring ... | 4 | [
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0.029541015625,
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0.03857421875,
0.00095367431640625,
0.037109375,
-0.0247802734375,
-0.01220703125,
0.037841796875,
-0.053222656... | 13,256 | 13256 | |
There Is A More Efficient Algorithm (in Terms Of ... | Chegg.com
Discrete Mathematics/Rosen 6th edition: 3.3.8
There is a more efficient algorithm (in terms of the number of multiplications and additions used) for evaluating polynomials than the conventional algorithm described in the previous exercise. It is
called H... | 4 | [
-0.08837890625,
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-0.0927734375,
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-0.06396484375,
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0.029541015625,
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-0.0159912109375,
-0.00567626953125,
-0.07373046875,
-0.01055908203125,
-0.078125... | 13,257 | 13257 | |
Galois action on ultrapowers
up vote 4 down vote favorite
2
Let $K$ be a char $0$ field with algebraic closure $\bar K$ and absolute Galois group $G$. Let $\mathcal U$ be an ultrafilter on $\mathbb N$ and $F=\bar K^\mathbb N/\mathcal U$ be the ultrapower of $
\bar K$ on $\mathcal U$, which has a natural action of $G$.... | 5 | [
0.004150390625,
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0.03564453125,
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-0.045654296875,
-0.00109100341796875,
-0.0341796875,
-0.01171875,
0.034423828125,
-0.008544921875,
0.007110595703125,
-0.052490234375,
0.06884765625,
0.00592041015625,
... | 13,258 | 13258 | |
Using linear algebra to classify vector bundles over P^1
up vote 20 down vote favorite
17
There is a theorem of Grothendieck stating that a vector bundle of rank $r$ over the projective line $\mathbb{P}^1$ can be decomposed into $r$ line bundles uniquely up to isomorphism. If we let $\
mathcal{E}$ be a vector bundle o... | 4 | [
-0.11865234375,
0.025390625,
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0.0296630859375,
0.1337890625,
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0.033935546875,
0.00008630752563476562,
-0.045654296875,
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0.00927734375,
0.052734375,
-0.0206298828125,
0.01483154296875,
-0.012939453125,
-0.029541015625,
-0.022827148437... | 13,259 | 13259 | |
How many elements with a hamming distance of 3 or less?
up vote 3 down vote favorite
[This is a complete rewrite which makes some of the comments redundant or irrelevant.]
Take a set of $50$ elements. How many subsets of size $5$ are needed so that every subset of size $5$ will intersect at least one of these in at l... | 5 | [
0.037109375,
0.056640625,
0.0191650390625,
-0.08544921875,
0.01287841796875,
0.01287841796875,
0.08447265625,
0.00775146484375,
-0.003448486328125,
0.109375,
-0.08447265625,
-0.019775390625,
0.08251953125,
-0.0400390625,
0.0032806396484375,
0.109375,
0.033203125,
-0.07177734375,
... | 13,260 | 13260 | |
Unanswered 'curvature' Questions
What's a simple example of metric on $R^{3}$ which has negative scalar curvature inside of a (limited) set N, and is equal to the standard (Euclidean) metric outside? Basically, I am asking for a ...
Strake's splitting theorem: Let $(M^n,g)$ be an open manifold with sectional c... | 4 | [
-0.0234375,
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0.024658203125,
0.037841796875,
0.10205078125,
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-0.056640625,
0.0240478515625,
0.06591796875,
-0.03857421875,
-0.01031494140625,
0.... | 13,261 | 13261 | |
Math Forum Discussions
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Topic: Re: [mg4908] help!! Plot3D of ellipsoid
Replies: 0... | 4 | [
-0.0751953125,
-0.0196533203125,
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0.0234375,
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0.06982421875,
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0.05419921875,
0.04052734375,
0.1357421875,
-0.036376953125,
-0.05... | 13,262 | 13262 | |
topologizing filter
nLab
topologizing filter
Topologizing filters
Definition
Let $R$ be a (possibly noncommutative associative) ring (unital or not). The collection of one sided (say right) ideals has a partial order with respect to inclusion; a filter with respect to this
partial order is a set of right ideals $F$ ... | 4 | [
0.0252685546875,
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-0.05078125,
-0.0103759765625,
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0.043212890625,
-0.03662109375,
-0.014892578125,
0.01318359375,
0.02587890625,
0.05322265... | 13,263 | 13263 | |
Can we weaken GCH in this class forcing?
up vote 3 down vote favorite
I've just stumbled across the following theorem (here):
Theorem Let $P$ be a partial class order in $M$, a transitive model of ZF (resp. ZFC). Suppose for arbitrarily large cardinals $\kappa$ we have an isomorphism $P \simeq P^- \times P^+$ where $... | 4 | [
0.01287841796875,
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0.021240234375,
0.04736328125,
0.032470703125,
0.04736328125,
-0.007537... | 13,264 | 13264 | |
Quotient of flat module is flat - a property in Mumford's Red book
up vote 4 down vote favorite
1
Hi,
In Mumford's "Red Book of Varieties and Schemes", Chapter III, Paragraph 10 (entitled "Flat and smooth morphisms"), the following property is stated:
Let $M$ be a $B$-module, and $B$ an algebra over $A$. Let $f\in B... | 5 | [
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0.0174560546875,
-0.0113525390625,
0.06689453125,
0.0986328125,
0.0227050... | 13,265 | 13265 | |
Math Forum Discussions
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Topic: If ZFC is a FORMAL THEORY ... then what is THEOREM... | 5 | [
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0.041015625,
0.01220703125,
0.09912109375,
-0.03173828125,
... | 13,266 | 13266 | |
M-category
$\mathcal{M}$-categories
Idea
An $\mathcal{M}$-category is a category with two classes of morphisms: tight and loose.
A categorification of the concept of $\mathcal{M}$-category to $2$-categories is the concept of $\mathcal{F}$-category. (There are other possible categorifications, such as locally $\mathc... | 4 | [
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0.021484375,
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0.00579833984375,
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0.0225830078125,
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0.042724609375,
0.03564453125,
0.08740234375,
0... | 13,267 | 13267 | |
The continuity of Injectivity radius
up vote 7 down vote favorite
2
Dear all,
when reading a book of M. Berger, I learned that the injectivity radius Inj(x) on a compact Riemannian manifold depends continuously on the point x.
When the manifold is complete and non-compact, Inj may not be continuous. For example, Inj... | 4 | [
-0.080078125,
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-0.02001953125,
-0.0208740234375,
0.0167236328125,
0.00946044921875,
0.03... | 13,268 | 13268 | |
Discrete Trends
Copyright © University of Cambridge. All rights reserved.
'Discrete Trends' printed from http://nrich.maths.org/
As $n$ is an integer try finding $n^{1\over n}$ for some small values of $n$. What do you find? If you think you might have found the maximum value then you'll need to use the first part o... | 4 | [
0.0859375,
-0.01373291015625,
0.036865234375,
0.059326171875,
-0.11083984375,
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0.08056640625,
-0.0400390625,
-0.0242919921875,
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0.0380859375,
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0.06982421875,
0.01055908203125,
-0.004913330078125,
0.06494140625,
-0.042... | 13,269 | 13269 | |
From reducible polynomial to an irreducible one
up vote 1 down vote favorite
Is there some algebraic construction/extension to make a reducible polynomial over $\mathbb{Q}$ irreducible?
For example: consider the polynomial $x^4-x^3-x^2+1=(x-1)(x^3-x-1)\in \mathbb{Q}[x]$. Is there some space where this polynomial beco... | 5 | [
0.0230712890625,
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0.052001953125,
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0.032958984375,
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0.0625,
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0.049560546875,
0.008056640625,
0.01458740234375,
-0.02978515625,
0.057373046875,
... | 13,270 | 13270 | |
Ore set
nLab
Ore set
A multiplicative closed subset $S\subset R$ containing a unit element in a monoid $R$ is a left Ore set if it satisfies the
• (left cancellability) If $ns = ms$ for $n,m\in R$ and $s\in S$, then $\exists s'\in S$ such that $s'n=s'm$.
• (left Ore condition) For any $r\in R$ and $s\in S$ there... | 4 | [
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0.0791015625,
-0.0517578125,
-0.00147247314453125,
0.03125,
0.0771484375,
0.0006... | 13,271 | 13271 | |
42
In The Hitchhiker’s Guide to the Galaxy by Douglas Adams, the number 42 is the “Answer to the Ultimate Question of Life, the Universe, and Everything”. But he didn’t say what the question was!
Since today is Towel Day, let me reveal that now.
If you try to get several regular polygons to meet snugly at a point in... | 4 | [
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0.0242919921875,
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-0.000118255615234375,
0.06396484375,
0.045654296875,
-0.07177734375,
-0.057373046875,... | 13,272 | 13272 | |
How to map points between 2D coordinate systems
This topic describes how to map points from one 2D coordinate system to another. This can be useful for graphics systems, such as canvas, that do not provide a current transformation matrix (CTM).
An affine transformation is a linear (or first-order) transformation that... | 5 | [
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0.0791015625,
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-0.11865234375,
0.13... | 13,273 | 13273 | |
Improved moderation for gene-wise variance estimation in RNA-Seq via the exploitation of external information
Abstract
Background
The cost of RNA-Seq has been decreasing over the last few years. Despite this, experiments with four or less biological replicates are still quite common. Estimating the variances of gene ... | 4 | [
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-0.01300048828125,
-0.0869140625,
0.054931640625,
-0.018798828125,
0.03955078125,... | 13,274 | 13274 | |
The Cosmic Energy Inventory - M. Fukugita &
P.J.E. Peebles
2.7. The Radiation Backgrounds
The cosmic energy density in electromagnetic radiation is thought to be dominated by mildly redshifted starlight, at µ, and a far infrared peak at µ that is produced by the absorption and reradiation
of starlight and the light fr... | 4 | [
0.01129150390625,
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0.09521484375,
-0.034423828125,
0.115234375,
-0.0588378906... | 13,275 | 13275 | |
Bounding the degrees in a Bézout relation for integer polynomials
up vote 3 down vote favorite
1
Let $A$ and $B$ be two polynomials in $\mathbf Z[X]$ which generate $\mathbf Z[X]$, that is assume that there exist polynomials $U$ and $V$ in $\mathbf Z[X]$ such that $$ A \cdot U + B \cdot V=1. $$
I realized only recent... | 4 | [
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-0.048095703125,
0.0023193359375,
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-0.04931640625,
-0.044189453125,
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0.08544921875,
0.01531982421875,
0.041015625,
-0.0361328125,
0.006134033203125,
0.008... | 13,276 | 13276 | |
When is Hom(G, H) the same size as Hom(H, G)?
up vote 6 down vote favorite
2
Let $G$ and $H$ be finite groups. Consider the ratio
$$r_{G, H} \equiv {|Hom(G, H)| \over{|Hom(H,G)|}}$$
My question is
When is $r_{G, H} = 1$? Can we characterize the pairs of groups $(G, H)$ for which this occurs?
One can answer the... | 4 | [
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0.02685546875,
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0.040283203125,
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-0.031982421875,
-0.0023040771484375,
-0.040771484375,
0.003814697265625,
... | 13,277 | 13277 | |
A Closed Form for the Diagonal Matrix Nearest an Arbitrary Square Matrix
up vote 7 down vote favorite
3
If I have a square matrix in $\mathbf{A} \in \mathbb{R}^{n \times n}$, I want to find another diagonal matrix $\mathbf{D} \in \mathbb{R}^{n \times n}$ that minimizes the residual $ \min_\mathbf{D} ||
\mathbf{A-D} ||... | 5 | [
-0.01611328125,
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0.07568359375,
0.043212890625,
0.0634765625,
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-0.033447265625,
-0.017333984375,
0.04931640625,
0.09375,
0.048583984375,
... | 13,278 | 13278 | |
Linear Fractional Transformations
1.0 Introduction
A linear fractional transformation (LFT) is defined as a function of the form
where a,b,c,d are complex constants. Every LFT defines a one-to-one mapping of the extended complex plane (C È ¥) onto itself. Two LFTs f and g are similar iff there exists a purely l... | 4 | [
-0.138671875,
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0.02880859375,
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0.0201416015625,
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0.00433349609375,
-0.0537109375,
-0.01025390625,
-0.0869140625,
0.03100585937... | 13,279 | 13279 | |
Calculateur dB provided by Temcom
Getting started : Choose conversion mode (dB, dbm, vswr or V/m W/m²) by clicking to the selector
Enter the value to convert in the field corresponding, then press the key ' = ', the two other values will be dispalyed in their respective fields. You can enter the value to convert in th... | 4 | [
-0.0179443359375,
0.054443359375,
-0.054443359375,
0.0693359375,
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0.0986328125,
0.0107421875,
0.07177734375,
0.02880859375,
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0.0947265625,
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-0.0419921875,
0.07958984375,
-0.02734375,
0.054931640625,
0.02331542... | 13,280 | 13280 | |
[Scipy-svn] r6819 - trunk/scipy/signal
scipy-svn@scip... scipy-svn@scip...
Thu Sep 23 04:17:48 CDT 2010
Author: rgommers
Date: 2010-09-23 04:17:48 -0500 (Thu, 23 Sep 2010)
New Revision: 6819
Modified:
trunk/scipy/signal/bsplines.py
trunk/scipy/signal/fir_filter_design.py
Log:
DOC: make bsplines and fir_filter_... | 4 | [
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-0.036376953125,
0.00191497802734375,
0.0634765625,
-0.126953125,
-0.065917... | 13,281 | 13281 | |
Mathematica News
How do I construct a Dispatch table?
Say you have a graph (network) consisting of n vertices in a loop:
In[1] := rules =
With[{n = 1000},
Table[ToString@i -> ToString@Mod[i + 1, n],
{i, 0, n - 1}]];
You want to traverse the graph by applying these rewrite r... | 5 | [
-0.0279541015625,
0.0244140625,
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0.04345703125,
-0.05517578125,
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0.009765625,
-0.0250244140625,
0.049560546875,
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0.033447265625,
0.00180816650390625,
-0.033447265625,
-0.00014591217041015625,
0.06591796875,
0.0130615234375,
... | 13,282 | 13282 | |
mixture word problems
Mixture word problems
There are many examples of mixture word problems. The goal is to really help you understand deeply a few.Then, you will be able to tackle similar problems on your own
I offer two solution for the mixture word problems here
Example #1:
A store owner wants to mix cashews a... | 4 | [
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0.01409912109375,
0.00909423828125,
-0.042724609375,
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-0.035400390625,
-0.03564453125,
0.06787109375,
0.06884765625,
-0.0849609375,
0.08349609375,
0.0076904296875,
0.0927734375,
0.01226806640625,
-0.00048828125,
0.066406... | 13,283 | 13283 | |
Zero Divided by Zero Conceptualized
Name: Srinivasarao
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: N/A
Question: 0 / 0 == infinity But my question is I have 0 chocolates and I want t... | 4 | [
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-0.016845703125,
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0.02197265625,
0.06494140625,
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0.1259765625,
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0.12890625,
-0.038818359375,
0.006256103515625,
0.0142822265625,
-0.0... | 13,284 | 13284 | |
Math Forum Discussions
Math Forum
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Topic: AE911
Replies: 6 Last Post: Feb 10, 2013 7:18 AM
... | 5 | [
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Card game / options pricing / Brownian bridge question
up vote 12 down vote favorite
6
We play a game. I shuffle a deck of cards and start dealing them face up. After any card you can say "stop", at which point I pay you 1 dollar for every red card dealt and you pay me 1 for every
black card dealt. What is your optima... | 5 | [
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IS 10262-1982 Vs IS 10262-2009: A Discussion
Posted in
Concrete Engineering
,
Project Reports
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Email This Post
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By Narasingha Mohanta
(Research Officer, Zonal Laboratory (R&B) Balangir)
Abstract:
IS:10262 is the code specified by Bureau of Indian Standards for Concrete Mix Design. The code came to existence... | 5 | [
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Oh! Hidden Inside?
Copyright © University of Cambridge. All rights reserved.
'Oh! Hidden Inside?' printed from http://nrich.maths.org/
The solution is based on the divisors of 24.
i.e 1 x 2 x 3 x 4 x 6 x 8 x 12 x 24 = 331776
Alison at Maidstone Girls Grammar School arrived at her solution by trial and improvement t... | 4 | [
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Distinguishing between Two Random Sequences
Date: 05/09/2008 at 12:43:26
From: Paolo
Subject: Distinguish between (pseudo) random sequences
Is there any efficient way (say polynomial-time algorithm in L) to
distinguish between the two distributions D1 and D2 described below?
- D1: take L elements at random x_1, ... ... | 5 | [
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capacitor value to measure rise time and fall time
1. 22nd January 2008, 06:35 #1
Member level 1
Join Date
Nov 2007
Posts
33
Helped
1 / 1
Points
1,155
Level
7
capacitor rise time
how to get the value of the capacitor across the output of a... | 5 | [
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Lagrangians for the Amnesiac
For a while I’ve been meaning to do some more advanced posts on optimization problems of all flavors. One technique that comes up over and over again is Lagrange multipliers, so this post is going to
be a leisurely reminder of that technique. I often forget how to do these basic calculus-t... | 5 | [
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What is the name of $\frac{e^z-1}{z}$ and how to invert it?
up vote 4 down vote favorite
1
I came across this complex function in my work $f(z)=\frac{e^z-1}{z}$. Is there a reference to $f(z)$? What is its name in the literature? More importantly, is the function inversible? If so, what is
$f^{-1}(z)$? Thanks.
nt.num... | 5 | [
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ncremental
April 17th, 2011, #1
03:03 AM
Joined: May 2009 Incremental NPV
Posts: 7 Company has an old machine, purchased for $... | 5 | [
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SAT Tip: The Basics of Volume
This tip on improving your SAT score was provided by Vivian Kerr at Veritas Prep.
Geometry knowledge is significantly tested on the SAT. There are a number of need-to-know formulas you should have memorized as part of your test-prep plan: formulas for area, perimeter, volume, and
surface ... | 4 | [
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Near points in several arithmetic progressions
up vote 11 down vote favorite
1
We have 3 arithmetic progressions $na_1 + c_1, na_2 + c_2, na_3 + c_3$ with the reals $a_1,a_2,a_3$ linearly independent over the rationals. Is it always true that given $\epsilon > 0$ there are
terms $x_1,x_2,x_3$, one from each progressio... | 5 | [
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Applied Linear Equations: Geometry Problem - Concept
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See what all the buzz is about
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Applied Linear Equations: Geometry Problem - Concept 13,502 views
The definition of a function can be extended to define the definition of an inverse, or an ... | 4 | [
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History Of The Theory Of Numbers - I
CHAP. Hi] GENERALIZATIONS OF WILSON'S THEOREM. 91
H. F. Scherk203 proved Jacobins theorem and the following: Form the sum Pnh of the multiplicative combinations with repetitions of the hth class of any n numbers less than the prime p, and the sum of the ... | 4 | [
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Zero-inflated Poisson Regression
Stata Data Analysis Examples
Zero-inflated Poisson Regression
Version info: Code for this page was tested in Stata 12.
Zero-inflated poisson regression is used to model count data that has an excess of zero counts. Further, theory suggests that the excess zeros are generated by a sepa... | 5 | [
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An introduction to the air cored coil
About your browser: if this character '×' does not look like a multiplication sign, or you see lots of question marks '?' or symbols like ' accept my apologies.
See also ...
[Producing↑ wound components] [A guide to the terminology used in the science of magnetism] [Power loss in... | 4 | [
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