content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Simons Symposium 2014 — Day 2
The second day began with Tom Sanders speaking about the Bourgain-Green sumset problem in additive combinatorics, including some of his own work on the problem.
Tom started his talk with the celebrated theorem of Green and Tao establishing the existence of arbitrarily long arithmetic pro... | 4 | [
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simultaneous equations in matrices - 3 solutions
April 18th 2010, 07:59 AM
shawli
simultaneous equations in matrices - 3 solutions
For what value(s) of $m$ will the system of equations,
$x+my=2$
$(m-1)x+2y=m$
have:
a) a unique solution?
b) no solution?
c) an infinite number of solution... | 4 | [
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-0.06... | 42,001 | 42001 | |
Stumped by a problem that would have been easy for me in high school.
June 11th 2014, 01:54 PM #1
Newbie
Joined
Jun 2014
From
Gilbert, AZ
Posts
2
Stumped by a problem that would have been easy for me in high school.
Yep. My skills are far deteriorated, so much so that the problem I'm about to describ... | 4 | [
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Groups - U10 x U10
August 18th 2010, 02:45 AM #1
Member
Joined
Jul 2009
Posts
168
Groups - U10 x U10
Let $G=U_{10} \times U_{10}$ , while $U_{10}$ is the group of all invert elements in $Z_{10}$ , and $U_{10}=\{1,3,7,9\}$ .
1. It is true that Inn(G)={Id} only?
2. How can I know if $Aut(G) \sime... | 5 | [
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Introduction to Logic and Truth Tables
Date: 09/27/2000 at 18:49:57
From: Carolyn
Subject: Logic
I can't figure out the p and q thing.
I don't understand about ^, v, and stuff like that. Could you explain
it to me in an easy way?
Date: 10/02/2000 at 14:29:07
From: Doctor TWE
Subject: Re: Logic
Hi Carolyn - thank... | 4 | [
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mathschallenge.net
Hockey Lockers
Problem
As the visiting year 10 hockey team were first to arrive at the changing rooms, they had their choice of lockers. Every locker is given a number in order and they are arranged in three rows, numbered
1, 2, 3, ... on the top row. The sequence continuing on the next row. Four f... | 4 | [
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Eigenvectors
July 26th 2012, 08:10 PM
bopbop
Eigenvectors
I have the matrix
$A=\left[ \begin{matrix} i & 1 \\ 0 & (-1+i) \end{matrix} \right]$
With the eigenvalues
$\lambda_1 = i, \lambda_2 = (-1+i)$
then the eigenvectors
$\lambda_1 : \left[ \begin{matrix} i - i & 1 \\ 0 & (-1+i) - i \en... | 5 | [
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-0.10937... | 42,006 | 42006 | |
Affine scheme on spec(A) of a ring A as the sheafification of a pre-sheave on spec(A)?
up vote 8 down vote favorite
9
It is obvious that there is a parallel between the definition of structure sheaf of $\operatorname{Spec}(A)$ versus the sheafification of a pre-sheaf.
The definition of the sheaf $\mathscr F^+$ associ... | 5 | [
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DeMoivre's Thereom
January 18th 2008, 03:14 PM
OzzMan
DeMoivre's Thereom
1. Use DeMoivre's theorem to find all the indicated roots. Find the three cube roots of 3 - 4i
2. One cube root of -1 is (1/2) - (1/2)*i*square root of 3. Cube this number in rectangular form and show that the result is -1.
January 18... | 5 | [
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Does every automorphism of G come from an inner automorphism of S_G?
up vote 10 down vote favorite
2
I feel sort of silly asking this question. Unless I'm very much mistaken the paper I'm reading assumes the following statement:
Let $G$ be a finite group. We may embed it via the Cayley embedding into an ambient permu... | 5 | [
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Upper bounds
the question is does this converge or diverge and if it converges give its upper bound..
$\int\limits_1^\infty \frac{\sin(3x)+3}{x^3+x}dx$
what i have is by comparison
$x^3+x>x^3$
$\frac{1}{x^3+x}<\frac{1}{x^3}$
and
$-1\leq\sin(3x)\leq1$
$\frac{2}{x^3+x}\leq\frac{\sin(3... | 4 | [
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0.12353515... | 42,010 | 42010 | |
Hornresp - Page 262 - diyAudio
Quote:
Originally Posted by
MaVo
In the attached image you can see two phase plots. The only parameter difference between both is the box volume, in one pic its 262l in the other 261l. Should this happen?
Hi Mathias,
Thanks for the feedback.
The following formula is used in the Ho... | 4 | [
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No Slide Title
First Year Computer Hardware
Course
Lecturer
Duncan Gillies (dfg)
Tutors
Tobias Becker (tbecker)
Andrew Huntbatch (ahuntbat)
Win Tun Latt (wtunlatt)
Jindong Liu (jliu4)
DOC112: Computer Hardware Lecture 01 Slide 1
Lectures
The course will begi... | 5 | [
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Isomorphism between Spin(3,2) and Sp(4, R)
up vote 8 down vote favorite
I've been using the fact that Spin(3,2) is isomorphic to Sp(4, R) for a while, but I've never seen a proof. Can anyone point me in the direction of a good reference?
reference-request rt.representation-theory lie-groups
add comment
2 Answer... | 5 | [
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0.004... | 42,013 | 42013 | |
Math Help
April 21st 2013, 07:07 PM #1
Newbie
Joined
Sep 2012
From
lockport
Posts
10
Log or ln
My problem is 2^3x=3^x+4
i have been trying this problem and have done or gotten this far.. i dont know if its right or wrong but....
3x ln2= x+4 ln3
3 ln2 + x ln2 = x ln 3 + 4 ln 3
x ... | 5 | [
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0.0385... | 42,014 | 42014 | |
When do 3D random walks return to their origin?
up vote 8 down vote favorite
3
The probability of a random walk returning to its origin is 1 in two dimensions (2D) but only 34% in three dimensions: This is Pólya's theorem. I have learned that in 2D the condition of returning to
the origin holds even for step-size dist... | 4 | [
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0... | 42,015 | 42015 | |
How General Relativity solves the Metonic Cycle
return to homepage
return to updates
... | 4 | [
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Solution sets and simplest forms
March 10th 2009, 02:56 PM
crashInt0me1
Solution sets and simplest forms
i was wondering if anyone could help me out with these two problems?!
expressed in simplest form: 5x+3/x - x-1/2x is??
and the solution set of? 3x+2/x=4x-2/3x+1/3
Thanks for any help! :)
Ma... | 4 | [
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Finance #3
A firm must make its dividend payments to preferred shareholdersbefore it makes any interest payments to its bondholders.
False
According to the constant growth model, the dividend yield is equalto the required return minus the dividend growth rate.
True
Over the past four years, a company has paid divid... | 5 | [
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-0... | 42,018 | 42018 | |
For 0\le n\le 10, find a formula for p_n, the payment in year n on a loan of 100000 d
May 18th 2010, 10:08 PM
ewkimchi
For 0\le n\le 10, find a formula for p_n, the payment in year n on a loan of 100000 d
For http://webwork.math.ucdavis.edu/webw...232cc9f731.png, find a formula for http://webwork.math.ucdavis.ed... | 4 | [
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Gently falling functions
up vote 31 down vote favorite
10
I wonder if it is possible to characterize the class of gently falling functions, which I would like to define as follows. Let $g(x)$ be a $C^2$ function defined on an interval $R \subseteq \mathbb
{R}$ of the real line. It will be no loss of generality for my ... | 5 | [
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-0.0017... | 42,020 | 42020 | |
expectation, variance, covariance
July 30th 2011, 12:47 AM #1
Newbie
Joined
Jul 2011
Posts
2
expectation, variance, covariance
I'm stuck on this problem :
X and Y is normal random var with mean(x) = 1 and mean(y) = 2 and variance(x)=1 and variance(y) = 4 and covariance(x,y)=1.
U = X-Y
V = X... | 4 | [
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Math Help
August 8th 2006, 05:40 AM #1
Newbie
Joined
Aug 2006
Posts
2
steepest descent
how can we proof this :
direction of steepest descent of a differentiable function F of M variables is the vector
( $-cdF/dw_1,...,-cdF/dw_M$)
where c is a positive constant of proportionality.
than... | 5 | [
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Proof for banach Space 2
May 8th 2010, 04:09 PM #1
Newbie
Joined
Apr 2010
Posts
22
Proof for banach Space 2
Prove that, In a normed linear space Xn converges to X and Yn converges to Y then XnYn converges to XY .
Xn and Yn are sequence in banach space.
Anyone idea ?
Last edited by neset44;... | 4 | [
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Algorithm for Finding Pi, in C
Date: 02/14/98 at 22:04:25
From: Guan Yang
Subject: Algorithm for finding pi, in C
Hi!
I would like to know how to implement various algorithms for finding
pi in the C language.
Date: 02/18/98 at 22:02:41
From: Doctor Elizabeth
Subject: Re: Algorithm for finding pi, in C
Hi, Guan:
... | 4 | [
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Math Help
January 25th 2013, 04:57 PM #1
Newbie
Joined
Jan 2013
From
skopje
Posts
6
Y=1-x^2
The random variable X has density given with
p(x)={
(x+1)/2 , -1<x<1
0, in other cases
}
find the density of the random variable Y=1-X^2
I'm stuck with this problem
any help would... | 5 | [
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... | 42,025 | 42025 | |
Don't know how to proof it
April 18th 2013, 02:25 AM #1
Newbie
Joined
Apr 2013
From
.
Posts
1
Don't know how to proof it
n and k are natural numbers, k is odd
Prove that ( 1 + 2 + 3 + ... + n ) is a factor of ( 1^k + 2^k + 3^k + ... + n^k )
I start the proof by using mathematical induction ... | 5 | [
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Power function
From HaskellWiki
(Difference between revisions)
m (format) (definitions by formulas)
← Older edit Newer edit →
Line 32: ... | 4 | [
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0.0537109375,
0.027099609375,
-0.0194091796875,
-0.0164794921875,
0.0067138671875,
-0.01055908203125,
0.0791015625,
-0.0016937255859375,
-0.01483154296875,
0.1328125,
-0.010009765625,
... | 42,027 | 42027 | |
Newton's Method for Finding Roots of Functions
Associated Topics || Dr. Math Home || Search Dr. Math
Newton's Method for Finding Roots of Functions
... | 5 | [
-0.04052734375,
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0.052490234375,
-0.03759765625,
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0.05712890625,
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0.049072265625,
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0.0093994140625,
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0.026123046875,
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0.033203125... | 42,028 | 42028 | |
Complex Numbers...Find x
December 28th 2008, 01:17 PM
magentarita
Complex Numbers...Find x
Solve for x: (3 + 2i) + (4 + xi)= 7 - 5i
(1) -7
(2) -3
(3) 3
(4) 7
December 28th 2008, 01:33 PM
Jhevon
December 28th 2008, 08:17 PM
Rapha
Hi magentarita.
Its simple math:
$(3 + 2i) + (4 +... | 4 | [
-0.0625,
0.0291748046875,
0.0306396484375,
0.0751953125,
-0.0634765625,
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0.06005859375,
-0.02099609375,
-0.07861328125,
-0.07275390625,
-0.015502929687... | 42,029 | 42029 | |
Eigenvalues of a special block matrix associated with strongly connected graph
up vote 8 down vote favorite
2
Definition
Let $G=(V,E,A)$ be a strongly connected directed graph, where $V=\{1,2,...,n\}$ denotes the vertex set, $E$ is the edge set, and $A$ is the associated adjacency matrix with $0-1$ weighting, that is... | 5 | [
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-0.037353515625,
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-0.0034332275390625,
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0.022705078125,
-0.035888671875,
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0.1318359375,
0.11328125,
... | 42,030 | 42030 | |
A Train Breaks Down
Date: 06/30/2001 at 22:28:05
From: Steve
Subject: A train question
Hi there,
I can't figure out how to do this. I know there's probably some sort
of algebraic way around it, but I can't figure it out. Here it is:
A train breaks down an hour after starting its journey. The engineer
takes half an... | 4 | [
-0.0291748046875,
0.0252685546875,
0.0849609375,
0.027587890625,
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0.09765625,
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0.035400390625,
0.0001735687255859375,
-... | 42,031 | 42031 | |
Cauchy Product
February 14th 2009, 08:15 PM #1
Member
Joined
Oct 2008
Posts
156
Cauchy Product
Suppose $\sum a_{n}z^{n}$ and $\sum b_{n}z^{n}$ have radii of convergence $R_1$ and $R_2$ respectively. Show that the Cauchy Product $\sum c_{n}z^{n}$ converges for $|z| < \min(R_1, R_2)$.
So $\sum c_nz^{n... | 5 | [
-0.06396484375,
-0.0478515625,
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0.011474609375,
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0.046875,
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-0.0159912109375,
-0.0419921875,
0.0159912109375,
0.0255126953125,
0.002960205078125... | 42,032 | 42032 | |
Math Help
Using the Lagrange method to find the polynomial that interpolates the points:
f(x) | -3 | -2 | -1 | 0 | 1 |
x | -197 | -35 | -1 | 1 | 5 |
I find:
$p(x) = y_0 L_0(x) + y_1 L_1(x) + y_2 L_2(x) + y_3 L_3(x) + y_4 L_4(x)$
$L_0(x) = \frac{x^4 + 30x^3 - 176x^2 -30x -175}{1269952992}$
... | 5 | [
0.0038299560546875,
-0.0272216796875,
0.01177978515625,
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-0.07568359375,
-0.0247802734375,
0.0908203125,
-0.055908203125,
-0.074218... | 42,033 | 42033 | |
exponential equations
December 12th 2008, 06:19 PM #1
Newbie
Joined
Dec 2008
Posts
3
exponential equations
I'd appreicate any assistance in answering this question
3^x+1=6^x-1. The answer needs to be rounded to three decimal places. Thanks in advance.
I assume the equation is $3^{x + 1} = 6^{x -... | 4 | [
-0.057373046875,
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0.03369140625,
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0.004302978515625,
-0.129882... | 42,034 | 42034 | |
Tricky Domain and Range Question
October 11th 2010, 07:57 AM #1
Newbie
Joined
Oct 2010
Posts
7
Tricky Domain and Range Question
Hello. I have encountered a question that begins simply enough and then ends up confusing me.
Here it is:
Given f(x) = (sqrt)(x^2 - 9) and g(x) = 1/(x-4), find the doma... | 4 | [
0.000640869140625,
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... | 42,035 | 42035 | |
Hecke Characters
up vote 1 down vote favorite
1
My question today concerns Hecke characters or Größencharaktere. I'm doing a project on complex multiplication of elliptic curves and need some help understanding Hecke characters. My main references
are Silverman's advanced topics on elliptic curves and Ireland-Rosen Cl... | 4 | [
-0.059326171875,
-0.01446533203125,
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0.01611328125,
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0.01336669921875,
-0.08056640625,
-0.0... | 42,036 | 42036 | |
A Question on Exterior Forms
up vote 6 down vote favorite
3
For the last few days, I have been trying to answer the following algebraic question in exterior algebra. The following question appears as an algebraic step in the context of existence of solutions
of a certain system of PDE. I have asked a special case of t... | 5 | [
-0.056884765625,
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-0.044189453125,
-0.073242... | 42,037 | 42037 | |
Why is the sum of 1-2+3-4+... is 1/4?
Can someone explain to me the paradox 1-2+3-4+... =1/4? I really don't get why and how. Thanks so much.
Quote:
The binomial series $1-2x+3x^2-4x^3+\ldots$ converges to $(1+x)^{-2}$ when $|x|<1$. If you ignore that restriction on x and pretend that the series also con... | 5 | [
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0.06787109375,
-0.07275390625,... | 42,038 | 42038 | |
Mandelbrot and Julia Sets
Date: 06/29/98 at 18:10:34
From: Paulo Jorge Matos
Subject: Fractal equations (Mandelbrot and Julia)
Hi Dr. Math,
I started studying fractals on my own because I will only learn complex
numbers in Math next year. I'm studying to be a software engineer and I
know that Mathematics is a very ... | 4 | [
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-0.0502... | 42,039 | 42039 | |
Equilibrium of Bodies
Chapter 2
2.1 (i)
y
T(y)
L
y
... | 5 | [
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0.0153... | 42,040 | 42040 | |
Taylor series
November 25th 2006, 07:56 PM
@_@
Taylor series
f(x) =ln (1-x)
a) Compute f'(x), f''(x), f'''(x). Spot the pattern and give an expression for f ^(n) (x) [the n-th derivative of f(x)]
b) Compute the MacLaurin series of f(x) (i.e. the Taylor series of f(x) around x=0)
c) Compute the rad... | 5 | [
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-0.010009765625,
-0.0673828125... | 42,041 | 42041 | |
Continuous Function Proof
October 13th 2007, 03:15 PM
tbyou87
Continuous Function Proof
Hi,
Suppose we have a polynomail of degree n:
p(x) = a0 + a1x + a2x^2 + ... + anx^n
where n is an odd number and "an" (the constant) not equal 0. Show that this polynomail has a real root. You can assume that poly... | 5 | [
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-0.016845703125,
0.0634765625,
-0.0052490234375,... | 42,042 | 42042 | |
Math Help
February 2nd 2008, 09:30 PM #1
Member
Joined
Jan 2008
Posts
154
vectors
$\bold{r}(t) = t^{2} \bold{i} - 4t \bold{j} -t^{2} \bold{k}$
$\bold{v}(t) = 2t \bold{i} -4 \bold{j} -2t \bold{k}$
$r(t) = \sqrt{2t^{4} + 16t^{2}}$
$v(t) = \sqrt{8t^{2} + 16}$.
Find the cosine of the ang... | 5 | [
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0.083984375,
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0.111328125,
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0.06298828125,
0.064453125,
-0.004608154296875,
0.00116729736328125,
0.091796875,
-0.0152587890625,
-0.01019287109375,
-0.0299072265625,
0.02526... | 42,043 | 42043 | |
Fine the constant of variation and the variation equation if y varies jointly as x and w, and inversely as the cube... - Homework Help - eNotes.com
Fine the constant of variation and the variation equation if y varies jointly as x and w, and inversely as the cube of z, and y=14 when x=1/3, w=27, and z=3
what will k= a... | 4 | [
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0.0634765625,
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0.0257568359375,
0.017822265625,
... | 42,044 | 42044 | |
INTERVAL ESTIMATION OF
In general, a confidence interval is given by:
[sample statistic Table value like Z/2 * SE],
where SE is the standard deviation of the
sampling distribution of the statistic.
INTERVAL ESTIMATION OF THE
POPULATION MEAN
If n>30 or if is known and the ... | 5 | [
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0.05029296875,
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0.00604248046875,
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0.0810546875,
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combination equation
Solve in R : n , p naturels numbers and
Observe that $^{n-1}\mathrm C_{p-1}\,+\,^{n-1}\mathrm C_p\ =\ ^n\mathrm C_p$ Hence $x^2\,-\,^n\mathrm C_px\,+\,^{n-1}\mathrm C_{p-1}\cdot^{n-1}\mathrm C_p$ $=\ x^2\,-\,\left(^{n-1}\mathrm C_{p-1}\,+
\,^{n-1}\mathrm C_p\right)x\,+\,^{n-1}\mathrm C_{p-1}\cdot^... | 4 | [
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0.0211181640625,
-0.041015625,
-0.03784... | 42,046 | 42046 | |
Graph theory proof-diameter/degree relationship
September 15th 2010, 10:09 AM #1
Newbie
Joined
Nov 2009
Posts
7
Graph theory proof-diameter/degree relationship
Hi, all!
Here's the problem I've been working on.
Suppose G is connected and suppose every $x \in V(G)$ satisfies $\delta (x) \geq \fraq... | 4 | [
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0.021484375,
0.046875,
-0.01251220703125,
0.05908203125,
-0.0245361... | 42,047 | 42047 | |
Sequences and Series
September 3rd 2009, 01:26 PM #1
Member
Joined
Sep 2008
Posts
114
Sequences and Series
Consider the series:
1+1/2+1/4+1/8....
How many terms of this series must be taken before the sum first exceeds 1999/1000?
What I did was first input 1999/1000 into the series equatio... | 4 | [
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0.0301513671875,
-0.0859375,
-0.025634765625,
0.048583984375... | 42,048 | 42048 | |
Argument Principle, Complex Analysis
May 25th 2010, 11:42 AM
cribby
Argument Principle, Complex Analysis
I'm given that $\frac{1}{2 \pi i} \int_{\partial D(0,3)} \frac{f'(z)}{f(z)}\,dz = 2$ and also that $\frac{1}{2 \pi i} \int_{\partial D(0,3)} z \frac{f'(z)}{f(z)}\,dz = 2$. I know that $f$ is
analytic on t... | 5 | [
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0.0380859375,
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0.0595703125,
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0.040283203125,
-0.0751953125,
-0.08056640625,
-0.057617187... | 42,049 | 42049 | |
integrate this?
When dealing with a reciprocal quadratic you either need to complete the square or factorise. In this case you need to complete the square. you should get $\int \frac{dx}{(2x-1)^2 +4^2}$ now use the
substitution $2x-1 = 2 \tan u$ give this a shot on your own and see how it goes. For checking purposes on... | 5 | [
0.08642578125,
0.022216796875,
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0.060546875,
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-0.021484375,
0.1201171875,
-0.002105712... | 42,050 | 42050 | |
1st Fundamental Theorem of Calc
January 17th 2011, 10:54 AM #1
Member
Joined
Sep 2009
From
Ontario
Posts
162
1st Fundamental Theorem of Calc
Ok I know the first fundamental theorem of Calc but this question is confusing me because both of the bounds are varibles with exponents. Please help
Fin... | 5 | [
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0.014... | 42,051 | 42051 | |
For centralizer subgroups, is the endomorphism ring of a restriction generated by endomorphisms and the centralized element?
up vote 3 down vote favorite
In some recent doodlings, I got myself to the point where what I was trying to understand would work out if the following claim were true:
Let $G$ be a group, $... | 5 | [
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-0.006683349609375,
0.03125,
0.0233154296875,
0.05761... | 42,052 | 42052 | |
The Importance of Goals
I looked at the probability that scoring a given goal led to a win in regulation. I am using the RTSS files to pull the various leads. I went through every game from 2007-08 through 2012-13. Winning
teams scored 24565 of the 36804 total goals, or 0.6674546. However, the probability that winning ... | 5 | [
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0.04833984375,
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-0.021240234375,
-0.064453125,
-0.123046875,
-0.036376953125,
-0.0898... | 42,053 | 42053 | |
Increasing gains in diminishing returns
October 23rd 2009, 03:35 PM
dddolls
Increasing gains in diminishing returns
Hello Math Help Forum,
I'm working on a web script for a game that will increase a stat in diminishing returns depending on the value of that stat.
For instance, a user with 5000 Stat poi... | 5 | [
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0.07421875,
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0.009033203125,
0.0888671875,
-... | 42,054 | 42054 | |
Definition of exponential functions
July 1st 2009, 01:27 AM
acc100jt
Definition of exponential functions
I do understand that $e$ is the number such that
$e=\lim_{n \rightarrow \infty} \left( 1+\frac{1}{n} \right)^n$
and how it is obtained.
But I don't understand how the definition of the function $... | 4 | [
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0.035400390625,
0.027099609375,
0.0244140625,
0.0029296875,
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0.0306396484375,
-0.0257568359375,
-0.0264892578125,
... | 42,055 | 42055 | |
e -
Math::PlanePath::KochCurve -- horizontal Koch curve
use Math::PlanePath::KochCurve;
my $path = Math::PlanePath::KochCurve->new;
my ($x, $y) = $path->n_to_xy (123);
This is an integer version of the self-similar Koch curve,
Helge von Koch, "Une Méthode Géométrique Élémentaire pour l'Étude de Certaines Ques... | 5 | [
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-0.01190185... | 42,056 | 42056 | |
Probability Thread
03-29-2012 #351
I doubt that someone who averaged 37 would only get a sub-35 one in 150 solves. But a normal distribution should work, providing you chose the variance such that 1/150 solves was sub-35.
Assuming the solve time, X is random and normally distributed:
X ~ N(37, σ)
P(X... | 5 | [
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-0.00958251953125,
... | 42,057 | 42057 | |
Roots of an entropy-like function
up vote 0 down vote favorite
Let $x_s = \sin(\theta+\frac{2\pi s}{3})$ and $y_s = 1+\cos(\frac{2\pi s}{3})$, $s=0,1,2$.
Define $f(\theta) = \sum_{s=0}^2 x_s\ln y_s$.
Is there any method to derive roots of $f(\theta)$. I have run a simulation on it, and found that $\theta=0$ is a sol... | 5 | [
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0.01171875,
-0.0810546875,
0.02453... | 42,058 | 42058 | |
Dickson-Hardy-Littlewood theorems
From Polymath1Wiki
(Difference between revisions)
Teorth Teorth
( (
Talk ... | 4 | [
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0.0152587890625,
-0... | 42,059 | 42059 | |
Examples of computing Ext and Tor functors?
up vote 3 down vote favorite
4
So I understand in theory the definition of Ext and Tor, but when it comes to actually computing them, I'm stuck. For example, could someone show me how to compute $\text{Ext}(\mathbb{Z}/m\mathbb{Z},
\mathbb{Z}/n\mathbb{Z})$? I tried this by ta... | 5 | [
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0.0220947265625,
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0.033447265625,
-0.06640625,
0.04... | 42,060 | 42060 | |
Assignment natural logs
January 14th 2007, 09:54 AM
jmailloux
Assignment natural logs
I've gotten most of my questions answered by looking at the answers people have posted for people in my class, but I'm still confused with two questions. Any help would be very much appreciated!
1. Express the function y= ... | 4 | [
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0.10009765625,
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0.0218505859375,
0.10107421875,
0.0751953125,
0.056640625,
-0.1298828125,
-0.0... | 42,061 | 42061 | |
Probability: Cx on [0,3]
March 30th 2014, 01:15 AM #1
Junior Member
Joined
Mar 2014
From
Denmark
Posts
35
Probability: Cx on [0,3]
I have an exercise stating what is written in the title-box.
"Cx on [0,3]"
I am not sure about what to do.
Re: Probability: Cx on [0,3]
The exercise gives... | 4 | [
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0.026123046875,
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-0.032470703125,
-0.00113677978515625... | 42,062 | 42062 | |
Word Problem
January 28th 2013, 02:32 PM #1
Word Problem
The crows-nest of a yacht is 50.0m above the water level. The angle of depression from the crows nest to a buoy due West of the boat is 40 degrees. The angle of depression to another buoy is
South 70 degrees West of the yacht is 34 degrees. How far apar... | 4 | [
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-0.0693359375,
-0.019... | 42,063 | 42063 | |
Asymptotic relation to a function
January 1st 2012, 07:54 AM #1
Newbie
Joined
Dec 2011
Posts
15
Asymptotic relation to a function
Given the function,
$\zeta (M,s)=\zeta (x)\prod_{p\leq M}(1-\frac{1}{p^{s}})$
where the product is taken over primes $p$.
How do you find the asymptotic relation
... | 5 | [
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-0.04296875,
0.02978515625,
-0.036376... | 42,064 | 42064 | |
Infinite set with/without infinite c.e. subsets
up vote 1 down vote favorite
Let $\varphi_e$ denote the p.c. function computed by the Turing Machine with code number $e$. I am looking at the set $M = \lbrace x : \neg (x < y)[\varphi_x=\varphi_y] \rbrace$. This set is clearly
infinite. Now $M$ has an infinite c.e. subs... | 5 | [
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-0.087402... | 42,065 | 42065 | |
Answer check (triple integral)
May 22nd 2009, 10:34 PM #1
Senior Member
Joined
Jul 2006
Posts
364
Answer check (triple integral)
Evaluate:
$\iiint_V (x+y+z)dV$ where V is the region bounded by the paraboloid $z = 4-x^2-y^2$ and the $xy$-plane.
---------------------------
My sol'n (but I am... | 5 | [
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0.042724609375,
0.030517578125,
0.0196533203125,
0.01214599609375,
-0.06103515625,
-0.... | 42,066 | 42066 | |
Maximal ideals in the ring of continuous real-valued functions on R
up vote 17 down vote favorite
15
For a compact space $K$, the maximal ideals in the ring $C(K)$ of continuous real-valued functions on $K$ are easily identified with the points of $K$ (a point defines the maximal ideal of functions
vanishing at that p... | 4 | [
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N is normal in G. Congruence proof.
April 16th 2011, 03:42 PM #1
N is normal in G. Congruence proof.
Here is the question:
Let N < G. Show that N is normal in G iff right congruence mod N is a congruence relation on G.
I can easily show that right congruence mod N is a congruence relation on G, but nor... | 4 | [
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0.044921875,
-0.0... | 42,068 | 42068 | |
error bound for trapezoidal and simpson rule
November 5th 2013, 10:30 AM #1
Junior Member
Joined
Sep 2012
From
New York
Posts
54
hey everyone
The question i got was that estimate the minimum number of subintervals with an error of magnitude less than 10^-4 by the trapezoidal rule and the simpson ... | 5 | [
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Estimating Logarithms without Using a Calculator
Date: 07/28/2005 at 13:02:30
From: Amanda
Subject: log problem
I am trying to find the following answer without a calculator:
log_4 12
From reading respones from Dr. Math, I believe the statement to read:
what is the power(exponent) that raises a base of 4 to make 12... | 5 | [
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0.0756835937... | 42,070 | 42070 | |
Example 8.7: Hosmer and Lemeshow goodness-of-fit
The
Hosmer and Lemeshow goodness of fit (GOF) test
is a way to assess whether there is evidence for lack of fit in a logistic regression model. Simply put, the test compares the expected and observed number of events in bins defined by the predicted
probability of the ... | 5 | [
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... | 42,071 | 42071 | |
An Equational Re-Engineering of Set Theories
Andrea Formisano1 and Eugenio Omodeo2
1
University “La Sapienza” of Rome, Department of Computer Science
formisan@dsi.uniroma1.it
2
Universit... | 4 | [
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-0.056152343... | 42,072 | 42072 | |
[SOLVED] Pre-Cal/Trig Proofs
February 2nd 2009, 02:21 PM #1
Newbie
Joined
Feb 2009
Posts
14
[SOLVED] Pre-Cal/Trig Proofs
Can someone please help me prove that sin^2(x) - cos^2(x) = 1-2cos^2(x)
I don't even know where to start.
Also, I need help on this problem: tan(x) + sec(x) = cos(x)/(1-sinx)
... | 4 | [
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Design limitations and its effect in the performance of ZC1-DPLL
ACEEE Int. J. on Communications, Vol. 03, No. 01, March 2012
Design limitations and its effect in the performance of
Z... | 4 | [
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0.0191650390... | 42,074 | 42074 | |
finding integers
September 20th 2008, 10:53 AM
pop_91
finding integers
(px + 2)2 = 9x2 +qx + 4
Where p and q are positive integers find the values of p and q
not quite sure how to go about this one
thanks for any help
September 20th 2008, 10:59 AM
Jhevon
Quote:
expand the left hand si... | 4 | [
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-0.038818359375,
-0.02978515625... | 42,075 | 42075 | |
metric spaces and equivalence classes
April 15th 2008, 12:40 AM #1
Member
Joined
Apr 2008
From
Seoul, South Korea
Posts
128
metric spaces and equivalence classes
i think im pretty stuck in this class...
here's the problem:
Let (X,d) be a metric space and let S be the set of cauchy sequences... | 4 | [
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0.10888671875,
-0.03784179... | 42,076 | 42076 | |
using Fourier transform to solve ODE
March 25th 2011, 08:30 AM #1
Newbie
Joined
Feb 2011
Posts
4
using Fourier transform to solve ODE
For part i) I got the answer 1/((jw)^2 + 5jw +6)
For part ii)
I first consider input to be a unit impulse
Thus, Y(w)=H(w)F(w) and F(w)=1
yI(t)=-1/2... | 5 | [
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-0.08935546... | 42,077 | 42077 | |
A goat tied to a rectangular barn - Math Central
Hi Misty. Here's how I would solve this problem. Start by drawing the barn and choosing one corner of the barn to tie the goat to. Then see what area the goat can reach without going around any
corners:
Now if we bend around one corner, we can go further, but 20 ft of ... | 5 | [
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... | 42,078 | 42078 | |
permutation problem
September 27th 2005, 06:49 AM
billh
permutation problem
The problem is from DeGroot 3rd edition, section 1.7,
problem 10: n=100 balls, r red balls. The balls
are chosen one at a time without replacement.
a) what is the pr that a red ball is chosen on the
first selection? b) wh... | 4 | [
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-0.03... | 42,079 | 42079 | |
Ranking NFL teams
Getting it wrong: Loss Functions
• Descriptive loss
• Predictive loss
• Ranking agreements
Zero-One Loss
Count the games where the ranking-predicted winner is upset.
Misrank Loss
If the ranking-predicted winner loses, add the difference in ranks to the loss.
Ranking Agreement
Kendall tau ... | 4 | [
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-0.02978515625,
0.01104736... | 42,080 | 42080 | |
Expected Value problem
November 25th 2011, 08:53 PM #1
Member
Joined
Jul 2011
Posts
196
Expected Value problem
50 cards having one blue side and one red side are placed on a table all with the red face up. After 50 random card flips (a flipped card now displays its blue side, and if flipped again, it
... | 5 | [
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-... | 42,081 | 42081 | |
Fundamental Examples
up vote 112 down vote favorite
159
It is not unusual that a single example or a very few shape an entire mathematical discipline. Can you give examples for such examples? (One example, or few, per post, please)
I'd love to learn about further basic or central examples and I think such examples s... | 4 | [
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0.0195312... | 42,082 | 42082 | |
Taylor series problem
February 23rd 2011, 07:17 AM
skyking
Taylor series problem
I need some help with the following
Let $f(z)=\sum_{n=0}^{\infty}a_nz^n$ analytic for $|z|<R$ and $|f(z)|\leq M$ for all $|z|<R$.
Show that for every $|z|<\frac {R|a_0|}{M+|a_0|}$, $f(z)eq 0$.
I got stuck by trying the... | 4 | [
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Calculating the Composite Indexes
Please refer to January 26, 2012 technical notes for details on the comprehensive revisions.
The procedure for calculating the composite indexes has six distinct steps. In the notation below, [t] and [t-1] refer to the current and prior month respectively. Also, [x] and [m] refer to ... | 4 | [
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... | 42,084 | 42084 | |
Extending a linearly independent set
February 11th 2011, 12:21 AM #1
Newbie
Joined
Feb 2011
Posts
8
Extending a linearly independent set
Let u1 = (2; 1; 1; 1) and u2 = (4; 2; 2;-1).How can I extend the linearly independent set u1 and u2 to obtain a basis of R^4?.
I know that u1 and u2 are linearly i... | 5 | [
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Field of Definition of a Meromorphic Function
up vote 4 down vote favorite
1
Question
Let X be a smooth, projective curve over the algebraic closure of ℚ. Let f:X->ℙ^1 be a meromorphic function. Assume that the zeros and the poles are defined over some number field, K. Then does this
imply that cf is defined over K, ... | 5 | [
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" Help me in solving problem"
May 31st 2010, 10:18 PM #1
Newbie
Joined
May 2010
Posts
1
" Help me in solving problem"
I did not understand the given problem statement.
Could you please explain it clearly?
And give me step by step answer
The given problem is
" Find the greatest number wh... | 5 | [
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finding an inclusion map to show submanifold
January 8th 2013, 08:21 AM
huberscher
finding an inclusion map to show submanifold
Hi there
I've got the following exercise to solve and I don't believe my ideas are that bad but it doesn't seem to be enough yet:
++
With an injective curve $\gamma : ]0.1... | 4 | [
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Pascal's Triangle and the ice cream cones
Date: Fri, 9 Dec 1994 11:18:27 -0800 (PST)
From: Moore Classroom Account
Subject: math
Dear Dr. Math,
We have a new problem for you from Mrs. Moore's class. Me (Gavin)
and Andrew, we'll explain it to you.
There are 31 flavors of ice cream at the local ice cream s... | 4 | [
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vector spaces help
October 22nd 2007, 06:33 AM
mathmonster
vector spaces help
HEY to everyone, never posted here before!!
if given 2v = v, would it be correct, to prove v = 0, by doing the following, (using the axioms of scalar multiplication and addition for a k-vector space)
v = v + (v - v) = (v + v)... | 4 | [
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Partial Sums of a Series
September 27th 2009, 08:47 AM #1
Member
Joined
Mar 2009
From
Alberta
Posts
173
Partial Sums of a Series
Hey folks, been an awful long time since I've been working with series, could definitely use a push with this problem.
The series obtained from the sequence $a_{n}=3n+... | 4 | [
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convert to polar
To convert a function from polar to rectangular or vice versa, use the following conversions: $r=\sqrt{x^2+y^2}$ $\theta=tan^{-1}\frac{y}{x}$ $x=rcos\theta$ $y=rsin\theta$ $tan\theta=\frac{y}{x}$
Converting $r=2$ to rectangular, we get: $\sqrt{x^2+y^2}=2\rightarrow x^2+y^2=4$. You should recognize this... | 4 | [
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Are there results about the group of homeomorphisms of $(T^2-\{*,*\})$ up to isotopy?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I am studying a fiber bundle over circle with fiber $T^2-\{*,*\}$. Since this is a mapping ... | 4 | [
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Which colimits commute with which limits in the category of sets?
up vote 32 down vote favorite
14
Given two categories $I$ and $J$ we say that colimits of shape $I$ commute with limits of shape $J$ in the category of sets, if for any functor $F : I \times J \to \text{Set}$ the canonical map $$\
textrm{colim}_{i\in I}... | 4 | [
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Can someone please explain
Can someone please explain in detail so I understand how x-5/2 - x-4/3 = x-3/2 - (x-2)
Sorry im a programmer x-5 over 2 - x-4 over 2 = x-3 over 2 - (x-2) how does this = -5 over 2 so 5/2
$\dfrac{x-5}{2} - \dfrac{x-4}{3} = \dfrac{x-3}{2} - (x-2)$ Is this it?
You're a programmer? Then you sh... | 4 | [
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Fourier Transform Sine (PDF)
Fourier Transform Sine
Fourier Transform Sine
Fourier transform is used for describing the relationship in between the signal in the domain of
tine and signal's representation in its domain of frequency .
It is only transform... | 5 | [
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[SciPy-user] Using SciPy/NumPy optimization
Alok Singhal as8ca@virginia....
Tue Feb 27 15:46:29 CST 2007
Hi,
Sorry about the long post. I did not ask the original question, but I
tried the solution posted and could not get it to work.
Original question: given a set of data [[x1, y1], ..., [xn, yn]], how
to fit y =... | 4 | [
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solving polynomials with roots
November 22nd 2009, 06:49 PM #1
Junior Member
Joined
Nov 2009
Posts
27
solving polynomials with roots
Hi, I have a very simple problem which i don't seem to be able to get. If you could help out that would be great!
If alpha and beta are roots of the equation x^2 + mx ... | 4 | [
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Extremum under variations of a traceless matrix
up vote 1 down vote favorite
Sorry for my precedent tentative, I was a little hasty:
Ok, I think I'd better put the original problem:
I have an action of three fields: $A$ which is the spin-connection, $B$ an skew-symmetric 2-form and $\Phi$ which is traceless [S:and s... | 4 | [
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