content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Finding a character of height zero
up vote 3 down vote favorite
My character theory is rather weak, so excuse me if this is a triviality.
I have read on the encyclopedia of maths that for any group $G$, every block of $G$ contains an irreducible character of height zero. Is there a straightforward way to see this? Le... | 4 | [
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0.06982421875,
-0.067... | 40,000 | 40000 | |
Surjective functions
November 3rd 2009, 02:18 PM #1
Newbie
Joined
Nov 2009
Posts
6
Surjective functions
let f: From A to B. let g: From B to A.
How do I prove f(g(x)) = x (indentity function) implies f is onto (surjective).
Last edited by mr fantastic; November 3rd 2009 at 10:59 PM. Reason: Rem... | 5 | [
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Plumping up darts
Home
>
math
,
statistics
> Plumping up darts
Plumping up darts
October 13, 2013
Someone asked me a math question the other day and I had fun figuring it out. I thought it would be nice to write it down.
So here’s the problem. You are getting to see sample data and you have to infer the underl... | 5 | [
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0.0... | 40,002 | 40002 | |
Fletcher's Checksum
John has developed process-control systems for the steel industry, spacecraft telemetry systems for NASA, a real-time distributed database for a long-distance telephone company, and a GPS navigation
system for a marine electronics firm. He recently completed his MS in computer science and can be rea... | 4 | [
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derivative of y=sec(xy^3) ?!
derivative of y=sec(xy^3) ?!! y= sec x + sec y^3 ?? anyone help me out please
what do you mean by (y^3 + x*3*y^2*y') ? i ended up getting answer : [sec(xy^3)][tan(xy^3)][y^3 + 3xy^2] is that correct?
i can't leave y' in the answer, can i? if not, what is the next step? edited: ohhhhh y' o... | 5 | [
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0.042968... | 40,004 | 40004 | |
exponential and logarithmic functions
July 29th 2008, 08:26 PM #1
Member
Joined
Jul 2008
Posts
89
exponential and logarithmic functions
I am working with this problem:
6 + e^0.5 t = 8
e^0.5 t = 2
0.5 t = ln 2
t = 2 ln 2 I am confused as to how my book got 2 on the right side.
I c... | 4 | [
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-0.078... | 40,005 | 40005 | |
Math Help
August 7th 2008, 10:44 AM #1
Member
Joined
Aug 2008
Posts
172
true???
the comulative distribution :
given by >>>>
F(x)=
0 x<=0
x\8 0<=x<4
x^2\16 2<=x<4
1 x>=4
find >>>>>>>>>
1-mean of (-2-3x)
2-p(1<x<3)
my solutions
1-mean = -41\4
2- ... | 5 | [
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Algebra: find all the solutions of each system of equations?
September 22nd 2010, 08:20 AM
eleahy
Algebra: find all the solutions of each system of equations?
Algebra: find all the solutions of each system of equations?
X^1 - 2X^2 + X^3 = 1
X^2 - 2X^3 + X^4 = 0
X^3 - 2X^4 + X^5 = 2
X^4 - 2X^5 + ... | 5 | [
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calculating median
1. February 26th 2014, 02:36 AM #1
calculating median
Last edited by anthonye; February 26th 2014 at 02:49 AM.
2. February 27th 2014, 12:19 AM #2
Re: calculating median
Hey anthonye.
In your interpolation based approach, are you using the interpolation and then... | 4 | [
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Generating Function (Finding An)
March 6th 2012, 01:14 PM
ThatPinkSock
Generating Function (Finding An)
Discrete Mathematics with Graph Theory
by Goodaire and Parmenter
Page 182 # 10b
a[n] = -10a[n-1] - 25a[n-2], n ≥ 2, given a[0]=1, a[1] = 25
So far I have:
f(x) - a[0] -a[1]x = -10x(f(x)... | 5 | [
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... | 40,009 | 40009 | |
Volume of Inscribed Cylinder
Date: 08/14/97 at 12:53:14
From: Courtney Denton
Subject: The volume of an inscribed cylinder
A cylinder of height h is inscribed in a sphere of radius q. (The
edges of the top and base of the cylinder are touching the sphere.)
Find an expression for the volume of the cylinder.
The answ... | 4 | [
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Limits by definition - 2 variables function
Could anyone please help me proving by definition that: lim_(x,y)-->(2,1) f(x,y)=3 where f(x,y)= (x+y) / (x-y) Thank you in advance.
The numerator and denominator are both continuous functions, so the only place where $f(x, y)$ is not continuous is where the denominator $= 0... | 4 | [
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Group which "resembles" the free product of a cyclic group of order two and a cyclic group of order three, but isn't.
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Can someone give an explicit example of a group with two g... | 5 | [
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Math Help
April 11th 2012, 12:47 PM #1
Newbie
Joined
Apr 2012
From
BURNEY
Posts
2
Bases
i PLEASE NEED HELP WITH 4010 base five minus 1234 base 5!! please and thank you I know that the numbers add to more than five so they need to be different
Re: Bases
I'd just use the usual method taught in s... | 4 | [
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Modeling Attacker-Defender Interaction as a Zero-Sum Stochastic Game
Ibidunmoye E.O.^1, , Alese B.K.^1, Ogundele O.S.^1
^1Department of Computer Science, Federal University of Technology, Akure, Nigeria
Abstract
Game-theoretic modeling of computer security views security attack scenarios as an optimization game com... | 4 | [
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Two questions about units in Number Fields
up vote 9 down vote favorite
3
If $K/\mathbb{Q}$ is a number field which is not $\mathbb{Q}$ or a quadratic imaginary field then, by the Dirichlet unit theorem it has a unit of infinite order. Is there a simple proof of this fact
which doesn't haul in all the machinery of the... | 5 | [
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0.0380859375,
-... | 40,015 | 40015 | |
Random Variable (Normal Distribution)
January 19th 2011, 05:25 AM #1
Junior Member
Joined
Oct 2010
Posts
28
Random Variable (Normal Distribution)
Hello,
Struggling to answer the following question:
The random variable Z has the mean -4 and standard deviation 5. Find:
E[3-2Z]
E[(3-2Z)^2]... | 5 | [
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-0.001... | 40,016 | 40016 | |
end diff equations,check and express y
March 5th 2009, 06:37 AM #1
Junior Member
Joined
Feb 2009
Posts
34
end diff equations,check and express y
(x2 + xy) dy/dx = y2 + xy +x2. Soroban helped me with this one, I get, after substitution and all, y2/x2 + 2(y/x)= 2 logx + c. Is this correct? condition for c ... | 5 | [
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... | 40,017 | 40017 | |
Homework Help
Posted by Emily on Wednesday, February 17, 2010 at 10:00pm.
The camera club has 5 members, and the math club has 8 members. There is only one member common to both clubs. In how many ways could a committee of 4 people be formed with at least 1 member from
each group?
• Data management - Secret, Thursd... | 4 | [
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Posts by
Total # Posts: 26,863
MATH
He can use the 2 pennies in 3 ways, take none, take 1 or take 2 He can use the 3 nickels in 4 ways, take none, take 1, etc the dime in 2 ways, and the quarters in 3 ways total number of ways = (3)(4)
(2)(3) = 72 but that includes taking none of any coins, so number of ways to u...
... | 5 | [
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0.033203125,
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Egyptian Fractions
Date: 06/11/2001 at 07:33:18
From: Andrew
Subject: Egyptian Fractions
I just got a problem solving a puzzle for maths that involves Egyptian
fractions, e.g. 2/7 = 1/4 + 1/28.
The Egyptians wrote all their fractions as a sum of different
fractions with a numerator of 1. I need to find a way to wor... | 4 | [
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0.01068115234375,
0.... | 40,020 | 40020 | |
trig integral
September 23rd 2009, 04:59 PM #1
Newbie
Joined
Sep 2009
Posts
3
$<br /> \int \sin^2 (5x) dx<br />$
I think I should use the identity:
$\sin^2 (x) = \frac {1}{2}(1 - \cos x)$
...and rewrite the integral like this:
$\frac {1}{2} \int (1 - \cos (10x)) dx$
But then what I use... | 5 | [
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0.... | 40,021 | 40021 | |
dy
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Here's the question you clicked on:
tahtah99 Group Title
Observe the composite... | 4 | [
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0.0247802734375,
-0.056640625,
0.00665283203125,
0.07568359375,
-0.0... | 40,022 | 40022 | |
Homology in the $A_\infty$ World
up vote 13 down vote favorite
7
This question is turning out to be a little long so let me start off with the headline. Given a differential graded algebra $A$, we can recover $A$ from its homology $HA$ if we know "the" $A_\
infty$-structure of $HA$. Vaguely, I would like to know:
... | 4 | [
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0.0245361... | 40,023 | 40023 | |
Applying Logic to an Interesting Problem on Billiard Balls
Date: 03/03/2004 at 16:56:18
From: Kara Taft
Subject: Breakable billiard Balls
In front of you is a 100 story building. You must determine which is
the highest floor you can drop a billiard ball from without it
breaking. You have only two billiard balls to ... | 4 | [
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0.03125,
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-0.07275390625,
-0.04663085... | 40,024 | 40024 | |
The uncertainty of uncertainty
There is a paper by Roe and Baker out in [S:Nature:S] Science arguing that Both models and observations yield broad probability distributions for long-term increases in global mean temperature
expected from the doubling of atmospheric carbon dioxide, with small but finite probabilities of... | 4 | [
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-0.0233... | 40,025 | 40025 | |
Exponential Growth in Dividing Bacteria
Date: 01/08/2004 at 18:11:14
From: Jessica
Subject: dividing bacteria cells
Suppose a bacterium divides in half an hour, then the two resulting
bacteria divide in the next half an hour. At this rate, how many
bacteria would there be in 72 hours?
Date: 01/09/2004 at 08:03:40... | 4 | [
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-0.... | 40,026 | 40026 | |
Average Age at a Party
Date: 10/27/1999 at 10:50:39
From: Rob Amure
Subject: Discrete math problems
At the classroom costume party the average age of the (b) boys is g
and the average age of the (g) girls is b. If the average age of
everyone, including the 42-year-old teacher, is b+g, what is the value
of b+g?
Dat... | 4 | [
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Homework Help
Posted by Tim on Sunday, December 18, 2011 at 4:08pm.
A cup has a radius of 2" at the bottom and 6" on the top. It is 10" high. 4 Minutes ago, water started pouring at 10 cubic " per minute. How fast is the water level rising now?
• Calculus - Damon, Sunday, December 18, 2011 at 5:34pm
Still not ... | 5 | [
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The logic of standard error
July 6th 2011, 03:00 PM #1
Newbie
Joined
Jul 2011
Posts
3
The logic of standard error
I hope someone knows how the logic of this equation works.
In finding the standard error in a single sample t-test, why is n square-rooted? What does square rooting this number accomplis... | 4 | [
-0.02392578125,
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0.0208... | 40,029 | 40029 | |
estimate error of partial sum, terms too complex to integrate
February 3rd 2010, 09:27 PM
buckeye1973
estimate error of partial sum, terms too complex to integrate
Hi all,
The problem is to calculate this sum to 10 terms and estimate the error:
$\sum_{n=1}^{\infty} \frac{n}{(n+1)3^n}$
I summed the... | 5 | [
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0.019... | 40,030 | 40030 | |
Polar Curves.. PLEASE HELP!
May 20th 2005, 08:02 AM
zee
Polar Curves.. PLEASE HELP!
Question) The polar curve C is given by the polar equation r=1+cos(theta)
Find the length of C.
Answer) This is what I have so far:
r = 1 + cos(theta)
Since L = INT(sqrt[1 + (dr/d(theta))^2])d(theta)
Theref... | 5 | [
-0.000011563301086425781,
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... | 40,031 | 40031 | |
Related Rates Problem...don't know what to do, help.
March 22nd 2009, 02:40 PM #1
Newbie
Joined
Mar 2009
Posts
11
Related Rates Problem...don't know what to do, help.
I don't know what to do at all...I had an idea, but I got stuck, BIG TIME. Please show me what to do step by step, Thanks.
Sand falls... | 5 | [
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0.... | 40,032 | 40032 | |
integration using generalized power rule
January 30th 2007, 05:41 PM #1
Member
Joined
Oct 2006
Posts
81
integration using generalized power rule
integral(x^5*(sqrt(13+x^6))
Here's what I did... but its apparently wrong
1. Realized I needed to use the generalized power rule
2. set x^6+13=u
... | 5 | [
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0.029052734375,
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Fitting a Picture to a Frame
Date: 11/14/96 at 23:00:27
From: Anonymous
Subject: test
I have a problem that I worked out in a drawing but do not know how to
solve with an algebra formula: A picture frame is 10 by 12 inches
with the shorter side horizontal. A photographer wants to put a photo
in the frame which will ... | 4 | [
0.050537109375,
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0.041... | 40,034 | 40034 | |
Today's calculation of integral #15
Find $\int_{0}^{\pi }{x\cos ^{2}x\,dx}.$ It seems pretty trivial, but find a quick solution.
That's not a quick solution, you omitted details that you should explain at least.
Ok I owe it at least that much... $\cos(x)^2=\frac{1+\cos(2x)}{2}\therefore{x\cos(x)^ 2=x\bigg(\frac{1+\co... | 5 | [
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0.07275390625,
-0.012695312... | 40,035 | 40035 | |
If the series Σ pᵃ⁽ʷ⁾·xᴵʷᴵ is rational, is Σ a(w)·xᴵʷᴵ also rational (summation over words w in a regular language)?
up vote 7 down vote favorite
3
Let $p$ be a prime number and let $a_i$ be a sequence of natural numbers such that the series $\sum_{i=1}^\infty p^{a_i} x^i$ is rational. A warm-up question:
Questi... | 4 | [
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... | 40,036 | 40036 | |
complex no's<<<hard!
April 3rd 2008, 07:03 AM #1
complex no's<<<hard!
Q;{I'm stuck on part (iii) }
Given w=1-e^(jx)cosx 0<x<pie/2
(i) express e^jkx and e^-jkx in the form a+jb
(ii) show w=-je^(jx)sinx
(iii)find |W| and argw, hence write down the modulus and argument of each of the two square roots... | 4 | [
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-0.022949218... | 40,037 | 40037 | |
instaneous speed
April 7th 2006, 08:23 PM
Hallah
I am in need of some serious homework help!
A high speed passenger test train travels from Columbia station to Penn station in exactly 8 hours. The distance traveled in miles from Columbia, at any given time in hours is given by the
following function: s(t)=6t... | 4 | [
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-0.018920898437... | 40,038 | 40038 | |
Help with finding roots of complicated quadratic
April 25th 2011, 04:14 PM #1
Newbie
Joined
Apr 2011
Posts
5
Help with finding roots of complicated quadratic
Hi
I'm having trouble finding the roots of the equation below. While I have the final answer, I'm not sure how to arrive at that step-by-step.... | 4 | [
-0.05517578125,
-0.0291748046875,
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-0.11181640625,
-0.02... | 40,039 | 40039 | |
Embeddings of finite groups into GL(n,Q_p)
up vote 10 down vote favorite
5
This question is inspired by some interesting comments on this recent question.
Fix an integer $n \geq 1$ and a finite subgroup $G$ of $\mathrm{GL}_n(\mathbf{C})$. It is known that there are infinitely many primes $p$ such that $G$ embeds into... | 4 | [
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0.013... | 40,040 | 40040 | |
Rationalizing Denominators
Date: 07/12/97 at 15:11:49
From: Jim Summerlin
Subject: Rationalizing denominators
Dear Dr. Math,
HELP!! I just can't seen to do this. How can I rationalize a
denominator with odd power radicals? This one for example
1/[ (64^(1/5))+(36^(1/5))+(24^(1/5))+(16^(1/5))]
It looks better... | 5 | [
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0.06396484375,
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0.07666015625,
... | 40,041 | 40041 | |
Induction Proof
May 6th 2006, 08:51 PM #1
Senior Member
Joined
Apr 2006
Posts
401
Induction Proof
Here is the problem:
"Let S_n stand for the sum of all the products of the integers, taken two at a time, from 1 to n. For example, S_4 means:
S_4 = 1*2 + 1*3 + 1*4 + 2*3 + 2*4 + 3*4
Prove tha... | 4 | [
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0.0693359375,
0.0576171875,
0.08... | 40,042 | 40042 | |
finding the equation of the line which pasees..
August 26th 2009, 01:00 AM
pepsi
finding the equation of the line which pasees..
through the point (4,-3.2) and is parallel to the line of intersection of the planes: i) 2x +3y + 2z = 6 and ii) 4x - 3y + z =11
pre.s. i pologise (Worried) if this does n't belon... | 5 | [
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0.0361328125,
-0.078125,
-0.086914062... | 40,043 | 40043 | |
Math Help
August 11th 2013, 06:39 PM #1
Proof of e
Hi MHF.
I would like to see some proof/detailed explanation for $H\cdot \left(\frac{i}{m}\right)^{mn}=He^{in}$
Where H is the starting amount, i is the percentage and m is the # of times per year where growth is calculated and n is the number of years.... | 5 | [
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-0.06640625,
-0.00037384033203... | 40,044 | 40044 | |
Volume 38,
Volume 38, Issue 1, January 1997
•
View Description Hide Description
The local formulations of the Markovian interpolating dynamics, which is constrained by the prescribed input-output statistics data, usually utilize strictly positive Feynman–Kac kernels. This
implies that the related Mark... | 4 | [
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0.00756835937... | 40,045 | 40045 | |
A new puzzle?
October 18th 2010, 10:36 AM #1
Banned
Joined
Oct 2009
Posts
769
A new puzzle?
Some days ago, I did a puzzle using exp(x) and ln(x) and it occurred to me that these functions can be used to start off a different type of puzzle.
Let x = 1. Then you have the points (1,e) and (1,0). Now dr... | 5 | [
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-0.08740234375... | 40,046 | 40046 | |
revenue function
October 17th 2009, 05:34 PM
samtheman17
revenue function
The rate of change of q with respect to time (in days) is dq/dt= 60 . The rate of change of revenue over time, dR/dt, is to be found when q= 480 . Differentiate both sides of the equation R= 120
q- q^2/240 with respect to t to get dR/d... | 5 | [
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0.09375,
0.0299072265625,
-0.0028839111328125,
-0.07080078125,
-0.006683... | 40,047 | 40047 | |
Finding a basis
February 28th 2009, 02:58 PM
smellatron
Finding a basis
Hey, this is for a intro to linear algebra class.
Find a basis for those that are subspaces. From P2 to P2.
{p(t): p'(1) = p(2)} (p' is the derivative)
The answer is that it is a subspace with a basis 1-t, 2-t^2 (t squared)
... | 5 | [
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-0.056884765625,
-0.044677734... | 40,048 | 40048 | |
integral question
How do I start this integral? integral from [-2 to 1] sqrt((x^2)-1) / x dx
$\displaystyle \int_{-2}^1{\frac{\sqrt{x^2 - 1}}{x}\,dx} = \frac{1}{2}\int_{-2}^1{\frac{2x\sqrt{x^2 - 1}}{x^2}\,dx}$ Now make the substitution $\displaystyle u = x^2 - 1 \implies du = 2x\,dx$, and
making note that $\displaysty... | 5 | [
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... | 40,049 | 40049 | |
dirac delta functions...
ok im doing this problem and its not working out for me and i was wondering if someone could look it over...let y(0)=1 and y'(0)=0
$y''+4y'+13y=\delta (t-\pi )\delta +(t-3\pi )$
$s^2Y(s)-s+4sY(s)+13Y(s)=e^{-\pi s}+e^{-3\pi s}$
and so i got...
$Y(s)=\frac{e^{-\pi s}+e^{-... | 4 | [
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0.030029296875,
-0.09619140625,
-0.009277... | 40,050 | 40050 | |
So confused..... domain and range of composite trig functions
February 18th 2010, 09:05 PM
HubridNoxx
So confused..... domain and range of composite trig functions
How can I identify the domain and range of problems such as sin(cos^-1(2x)) without using a calculator???
Other problems would be sin(sin^-1(x-1... | 4 | [
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-0.00933837890625,
-0.0429687... | 40,051 | 40051 | |
Variation of parameter - 2nd order ODE
April 6th 2009, 02:28 AM #1
Junior Member
Joined
Nov 2008
Posts
68
Find the general solution of this differential equation, given that a solution of the corresponding homogeneous equation is y = x,
(x^2)y'' + x(x-2)y' - (x-2)y = x^3
I can sorta deal with th... | 5 | [
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-0.00982666015625,
-0.0244140... | 40,052 | 40052 | |
Math Forum Discussions
Re: Generate random numbers with fixed sum and different constraints
Posted: Nov 19, 2012 5:26 AM
"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <k8badi$8rd$1@newscl01ah.mathworks.com>...
> I have not fully tested, but it should go like this:
>
> % lower + upper bounds
> lo = [1 0... | 4 | [
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0.060791015625,
0.050537109375,
-0.01556396484375... | 40,053 | 40053 | |
rank and null space
May 5th 2008, 03:34 PM #1
Newbie
Joined
Mar 2008
Posts
8
rank and null space
just need to know how to solve a rank and null space of an 3x5 matrix. any help would be helpful thanks.
The rank of a matrix is the dimension of its row or column space (both will be the same). Now, you... | 5 | [
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-0.08837890625,
-0.01806640625,
0.0341796875,
0.03955078125,
-0.014404296875,
-0.0218505859375,
-0.03076171875,
0.072265625,
0.022216796875,
-0.083984375,
0.0634765625,
-0.0235595703125,
-0.050048828125,
0.055419921875,
-0.050537109375,
-0.0230712890... | 40,054 | 40054 | |
Does this variant of a theorem of Hasse (really due to Gauss) have an "elementary" proof?
up vote 16 down vote favorite
3
BACKGROUND
Here are 3 theorems of varying difficulty. Let $M$ be the $Z/2$ subspace of $Z/2[[x]]$ spanned by $f^k$, with the $k>0$ and odd, and $f=x+x^9+x^{25}+x^{49}+\cdots$. For $g$ in $M$, let ... | 4 | [
-0.036376953125,
0.052734375,
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0.09814453125,
0.056396484375,
-0.10302734375,
0.021484375,
-0.0125732421875,
-0.0040283203125,
0.037109375,
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-0.07421875,
-0.0201416015625,
-0.039306640625,
0.043212890625,
... | 40,055 | 40055 | |
solving inequalities
December 2nd 2012, 10:13 PM #1
Junior Member
Joined
Nov 2012
From
Abu Dhabi
Posts
55
Thanks
3
solving inequalities
x/(x-2) <5
For solving this question
I started by finding the point where x/(x-2) =5
and got 5/2
and I know that x cannot be 2
I found that ... | 4 | [
-0.0274658203125,
-0.0478515625,
0.055908203125,
-0.076171875,
-0.0206298828125,
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0.05419921875,
-0.005218505859375,
0.040283203125,
0.0009765625,
-0.046142578125,
0.0380859375,
0.013916015625,
0.0439453125,
0.072265625,
0.037841796875,
-0.09130859375,... | 40,056 | 40056 | |
Testing LaTeX 2
January 2nd 2009, 01:24 AM #46
Aligning symbols
Code:
\begin{array}{r@{.}l}
12341 & 43 \\
& 99 \\
23 & 12 \\
10 & \\
938 & 01
\end{array}
$<br /> \begin{array}{r@{.}l}1<br /> 2341 & 43\\<br /> & 99\\<br /> 23&12\\<br /> 10 & \\<br /> 938 & 01<br /> \... | 5 | [
-0.04248046875,
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0.036376953125,
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0.03076171875,
0.030517578125,
-0.05029296875,
0.07421875,
-0.11767578125,
-0.0239257... | 40,057 | 40057 | |
hard question. need geometric proof.
January 28th 2011, 12:08 AM
abhishekkgp
hard question. need geometric proof.
ABC is an acute angled triangle. $\angle BCA=80 ^{\circ}$. The angle bisector of $\angle BCA$ meets AB in D. Let the perpendicular bisector of side AB meet the angle bisector of $\angle BDC$ in
E... | 4 | [
-0.07080078125,
0.1689453125,
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0.068359375,
-0.0057373046875,
0.03564453125,
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0.04052734375,
0.05908203125,
0.0172119140625,
-0.0390625,
-0.003387451171875... | 40,058 | 40058 | |
Related Rates Problem
October 17th 2011, 06:20 PM #1
Newbie
Joined
Jan 2011
Posts
21
Related Rates Problem
The minute hand on a watch is 4 mm long and the hour hand is 3 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
... | 4 | [
-0.054443359375,
0.024169921875,
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0.064453125,
0.035888671875,
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0.031494140625,
0.01043701171875,
-0.03369140625,
0.00933837890625,
0.04516601... | 40,059 | 40059 | |
Is a torsion free abelian group finitely generated, if all of its localizations at primes p are finitely generated over Zp?
up vote 5 down vote favorite
3
Background: When proving that the group of $k$-isogenies $\mathrm{Hom}_k(A,B)$ between two abelian varieties is finitely generated, one first shows that the Tate ma... | 4 | [
-0.045654296875,
0.049072265625,
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0.0123291015625,
0.076171875,
0.0279541015625,
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-0.08251953125,
-0.042236328125,
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0.08642578125,
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0.048095703125,
-0.06640625,
0.0130615234375,
0.09814453125,
-0.061279296875,
-0.00168... | 40,060 | 40060 | |
Integral representation of a determinant
up vote 8 down vote favorite
7
In a paper by Mathai, he uses the following integral representation of a determinant, (or, really, what I give is a simple special case of what he gives), without any explication. All matrices are
real $p\times p$ symmetric positive definite.
$$|... | 5 | [
0.004791259765625,
-0.0732421875,
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0.0186767578125,
-0.05078125,
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0.04833984375,
-0.06982421... | 40,061 | 40061 | |
find all real and imaginary roots
September 29th 2009, 06:29 AM
absvalue
find all real and imaginary roots
I need to find all real and imaginary roots of this equation:
$2x^7 - 2x^6 + 7x^5 - 7x^4 - 4x^3 + 4x^2 = 0$
Using synthetic division, I found that 1 is a root.
$(x - 1)(2x^6 + 7x^4 - 4x^2) = ... | 4 | [
-0.043212890625,
-0.05908203125,
-0.024658203125,
0.1416015625,
0.0047607421875,
-0.003692626953125,
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0.0142822265625,
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0.039306640625,
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0.05029296875,
0.0634765625,
-0.034912109375,
0.0111083984375,
-0.025512695312... | 40,062 | 40062 | |
Null-homotopy of diagonal map
up vote 7 down vote favorite
2
For a sphere $S^n$, the diagonal map $\Delta:S^n\to S^n\wedge S^n$ sending $x\mapsto x\wedge x$ is null-homotopic. This is the homotopy group $\pi_n(S^n\wedge S^n)=\pi_n(S^{2n})$ is trivial.
I'm wondering if there are other examples of this phenomenon. That... | 4 | [
-0.043701171875,
0.0203857421875,
-0.0859375,
-0.0107421875,
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-0.0205078125,
0.... | 40,063 | 40063 | |
Answer in the back of the book wrong?
October 4th 2009, 11:20 AM #1
Junior Member
Joined
Sep 2009
Posts
39
Answer in the back of the book wrong?
Can someone please verify my answer? Because I'm sure I'm doing this question right but the answer at the back differs.
Q: A bridge hand consists of 13 car... | 4 | [
-0.004150390625,
0.076171875,
-0.026611328125,
-0.0712890625,
-0.07861328125,
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-0.0169677734375,
-0.04248046875,
0.06640625,
-0.06591796875,
-0.0292... | 40,064 | 40064 | |
To differently gluing of two Riemann surfaces with boundary we get different surfaces
up vote 5 down vote favorite
5
If $M,N$ are two Riemann surfaces with boundary, then we can glue them along one of each of their boundary component, which is $S$, to form a new Riemann surface with boundary, but for different
gluing ... | 5 | [
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0.03857421875,
-0.0927734375,
-0.087890625,
0.05126953125,
-0.06... | 40,065 | 40065 | |
[SOLVED] what is an equation to find 2 variables simultaneously?
August 14th 2008, 06:47 AM #1
Newbie
Joined
Jun 2007
Posts
4
[SOLVED] what is an equation to find 2 variables simultaneously?
Ok so this is more for a program to do general solving of 2 variables with 2 equations.
I know how to solve si... | 4 | [
-0.00897216796875,
0.037353515625,
-0.078125,
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-0.00909423828125,
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0.0439453125,
0.0732421875,
0.07958984375,
0.058837890625,
-0.1396484375,
0.032958... | 40,066 | 40066 | |
Dynamic Pressure
Dynamic pressure is the component of fluid pressure representing the fluid kinetic energy
Dynamic pressure is a defined property of a moving flow of gas or liquid and can be expressed as
p[d] = 1/2 ρ v^2 (1)
where
p[d ]= dynamic pressure (Pa)
ρ = density of fluid (kg/m^3)
v = ... | 4 | [
-0.0299072265625,
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-0.01904296875,
0.032714843... | 40,067 | 40067 | |
Max error and relative error
October 10th 2009, 02:31 PM #1
Max error and relative error
The circumference of a sphere was measured to be
Estimate the relative error in the calculated surface area.
This is what i tried but i got it wrong?
Circumference of a sphere = 2πr
so r = 11.61831
SA=... | 5 | [
0.016357421875,
0.01611328125,
-0.01708984375,
-0.030517578125,
0.00653076171875,
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0.11083984375,
0.0537109375,
-0.05419921875,
-0.0546875,
0.0289306640625,
0.06835937... | 40,068 | 40068 | |
optimization - distance between points on a graph
Find the points on the graph of $y=9-x^2$ that is closest to the point $(0, 3)$.
In general, the distance between two points is $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ Use: $(x_1,y_1)=(x,9-x^2)$ <-- this is a point on the curve $(x_2,y_2)=(0,3)$ Then we have the distance betw... | 4 | [
0.049072265625,
-0.03466796875,
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0.0118408203125,
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0.04638671875,
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0.0036773681640625,
-0.005218505859375,
-0.0230712890625,
0.0294189453125,
0.0244140625,
-0.0354... | 40,069 | 40069 | |
TI-84+ complex numbers
January 9th 2008, 09:05 AM #1
A riddle wrapped in an enigma
Joined
Jan 2008
From
Big Stone Gap, Virginia
Posts
2,551
Thanks
12
Awards
1
TI-84+ complex numbers
I can calculate i to any power very easily without using the TI-84+. Simply divide the power by 4. If the rem... | 4 | [
-0.09716796875,
0.0869140625,
-0.049560546875,
0.09716796875,
-0.07275390625,
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0.039306640625,
0.0230712890625,
0.0250244140625,
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0.041259765625,
-0.07763671875,
0.0595703125,
0.09423828125,
0.0018768310546875,
-0.030029296875,
-0.060791015625,
-0.01599... | 40,070 | 40070 | |
intersections and compact sets
October 26th 2009, 07:20 PM #1
Junior Member
Joined
Oct 2009
Posts
26
intersections and compact sets
Show that if K is compact and F is closed, then K intersect F is compact.
Alright this is what I have so far.
Suppose K is compact, which implies that K is closed ... | 5 | [
-0.00115203857421875,
0.0390625,
-0.0242919921875,
-0.002716064453125,
0.0198974609375,
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0.107421875,
0.027099609375,
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0.00848388671875,
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0.00885009765625,
-0.05615234375,
... | 40,071 | 40071 | |
I don't know where to stop...!!!
Please, see the attached document, for I was unable to write it using Latex.
The question is: How to solve $9x^2 + 6x - 8 = 0$. The approach you're trying to use is completing the square. You've done well to get to here: $9\left[ \left(x + \frac{1}{3}\right)^2 - 1 \right] =
0$. Unfortu... | 4 | [
-0.02001953125,
0.040771484375,
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0.00579833984375,
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0.0810546875,
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0.030517578125,
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0.01708984375,
-0.07421875,
-0.068359375,
-0.06103515625,
0.01116943359375,
0.0... | 40,072 | 40072 | |
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Topic: The Human Voice's Mathematical Frequency - Part 4:... | 4 | [
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0.02978515625,
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0.031494140625,
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-0.037841796875,
0.0036773681640625,
0.00762939453125,
0.071... | 40,073 | 40073 | |
Characteristic and size of a Ring
September 18th 2009, 10:46 AM #1
Member
Joined
Mar 2008
From
Acolman, Mexico
Posts
118
Characteristic and size of a Ring
I need help with the following problem:
Let $R$ be a ring with $m$ elements. Prove that $char(R)$ divides $m$.
Thanks in advance.
$... | 5 | [
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0.0113525390625,
0.031982421875,
... | 40,074 | 40074 | |
Vectors in 3D question
April 5th 2010, 12:40 PM #1
Junior Member
Joined
Apr 2010
Posts
60
Vectors in 3D question
lines L1 and L2 have vector equations r=8i-j+3k+ λ(-4i +j)
and r= -2i +8j - k + µ(i +3j - 2k) respectively. it then says show that L1 and L2 intersect and find the position vector of the p... | 4 | [
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-0.01025390625,
-0.06201171875,
0.0830078125,
-0.07666015625,
-0.053955078... | 40,075 | 40075 | |
Periodic point-free maps and free ultrafilters.
up vote 6 down vote favorite
Let $X$ be a set and $u$ be a free ultrafilter on $X$. We can consider a topology on $X$ by declaring every element of $u \cup \{\emptyset \}$ to be open.
El'kin's original motivation for looking at this topology is that $X$ is a space witho... | 5 | [
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-0.0027618408203125,
0.10205078125,
-0.07373046875,
-0.01324462890625,... | 40,076 | 40076 | |
Enderton 3.4 Problem 1
December 21st 2011, 04:26 AM #1
Junior Member
Joined
Nov 2011
Posts
59
Enderton 3.4 Problem 1
There is a representable relation Sb1 such that for a formula $\alpha$, variable $x$, and term $t$, $<\sharp \alpha ,\sharp x,\sharp t> \in \text{Sb1}$ iff $t$ is substitutable for $x$ in ... | 4 | [
0.00396728515625,
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0.06640625,
-0.057373046875,
-0.000896453857421875,
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0.0693359375,
-0.00567626953125,
0.003875732421875,
0.0634765625,
-0.... | 40,077 | 40077 | |
complex number question
July 27th 2009, 06:01 PM
stud_02
complex number question
$Z = \frac{8(1 + i)}{\sqrt{2}}$
write Z as r(cosΘ +i sinΘ)[/tex]
using that show the three values for $Z^{2/3}$ are
$-4i , 2(\sqrt{3} + i ) ,2(-3\sqrt{3} + i )$
----
i can do the first part
$z=8(cos(\pi... | 4 | [
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0.046142578125,
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-0.01239013671875,
-0.0242919921875,
-0.005065... | 40,078 | 40078 | |
Geometry Semester 1 review packet 2011-12
Geometry: Semester Exam Review Name: ___________________________
January 23 January 24 January 25 Janu... | 4 | [
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0.013671875,
... | 40,079 | 40079 | |
Question about sets
November 16th 2010, 09:35 AM
Nforce
Question about sets
We have two sets:
A.... numbers that are divisible by 15
B.... numbers that are divisible by 33
We are looking just numbers between 1 and 10^6.
We need to find:
$<br /> A \cap B^c<br />$
so we need to calcula... | 4 | [
-0.01007080078125,
0.033935546875,
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0.04052734375,
-0.0201416015625,
-0.01104736328125,
0.019775390625,
0.001953125,
... | 40,080 | 40080 | |
Lesson 19: The Immerman-Szelepcsenyi Theorem
Previous Lesson
In this lesson we will prove the Immerman-Szelepcsényi Theorem.
Theorem (Immerman-Szelepcsényi): For reasonable s(n)≥ log n, NSPACE(s(n))=co-NSPACE(s(n)).
Let M be a nondeterministic machine using s(n) space. We will create a nondeterministic machine N suc... | 4 | [
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0.0205078125,
0.039794921875,
-0.024414... | 40,081 | 40081 | |
Laws Of Sine
May 28th 2008, 05:04 PM #1
i have one quick question...
a problem gives us that:
A= 60 degrees, a=9, c = 10...
my only concern is that if the remaining two angles are also 60...
you can't just assume that. you can assume though that the other two angles will add up to 120 degrees th... | 4 | [
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Distribution of a maximum
up vote 4 down vote favorite
1
I am reposting a question on math.stackexchange which did not recieve good questions. The orginal questio is at http://math.stackexchange.com/questions/73091/distribution-of-a-maximum.
Randomly select $n$ numbers from ${\{1,2,\dots,m\}}$ without replacement, an... | 5 | [
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Chameleon mechanism in
5.2 Chameleon mechanism in f (R) gravity
Let us discuss the chameleon mechanism [344 , 343 ] in metric f (R) gravity. Unlike the linear expansion approach given in Section 5.1, this corresponds to a non-linear effect arising from a large
departure of the Ricci scalar from its background value f... | 4 | [
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0.06835937... | 40,084 | 40084 | |
Math Forum Discussions - “KNOTS”, check sample uniformity
Date: Dec 17, 2012 5:57 PM
Author: Luis A. Afonso
Subject: “KNOTS”, check sample uniformity
?KNOTS?, check sample uniformity
___n= sample size
__________n=20_____40______60_____80_____100___
_fractile___
__0.005____0.109___0.114___0.114___0.115___0.116__
__0... | 4 | [
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SymplecticPartitionedRungeKutta
WOLFRAM LANGUAGE TUTORIAL
"SymplecticPartitionedRungeKutta" Method for NDSolve
Introduction Available Methods
Hamiltonian Systems Automatic Order Selection
Rounding Error Reduction Option Summary
Examples
Introduction
When numerically solving Hamiltonian dynamical sy... | 5 | [
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... | 40,086 | 40086 | |
Analysis of a quadratic diophantine equation
up vote 11 down vote favorite
Hi! This is my first post on Math Overflow. I have two equations: $a(3a-1) + b(3b-1) = c(3c-1)$ and $a(3a-1) - b(3b-1) = d(3d-1)$. I'm trying to find properties of $a$ and $b$ that lead to solutions,
where $a, b, c, d \in \mathbb{N}$. I'm havin... | 5 | [
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... | 40,087 | 40087 | |
Geometric distribution problem
May 16th 2010, 02:37 PM #1
Newbie
Joined
Oct 2009
Posts
14
Geometric distribution problem
Question:
If Y has a geometric distribution with success probability .3, what is the largest value, y0, such
that P(Y > y0) ≥ .1?
Attempt:
So i represented the probabi... | 5 | [
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0.0207519... | 40,088 | 40088 | |
Frobenius splitting and derived Cartier isomorphism
up vote 13 down vote favorite
3
Let $X$ be a smooth algebraic variety over an algebraically closed field $k$ of characteristic $p>\dim X$. The motivation for my question comes from the following results.
1. If $X$ is Frobenius split (the $p$-th power map $\mathc... | 4 | [
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0.039306640625,
-0.055... | 40,089 | 40089 | |
Compactness of the set of densities of equivalent martingale measures
up vote 8 down vote favorite
2
Consider an incomplete market $(\Omega,\mathcal F,\mathbb P)$ driven by a semimartingale $S=(S_t)_{t\in[0,T]}$. Under the no free lunch under vanishing risk (NFLVR) assumption, the set $\mathcal P^\
ast$ of equivalent ... | 5 | [
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... | 40,090 | 40090 | |
induction proof of de moivres formula
November 9th 2012, 02:58 AM
Petrus
induction proof of de moivres formula
Is this correct and enough proof
$(cosx+isinx)^n=cos(nx)+isinx$ is true so i put 1 and its true now ima prove for
$S(k+1) = (Cosx+isinx)^k+1= (Cosx+isinx)^k(cosx+isinx)$ now we can rewrite that ... | 4 | [
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-0.0145263671875,
0.0437... | 40,091 | 40091 | |
Just need someone to verify integral, please
July 24th 2010, 12:03 PM #1
I got this one, and tree times I check it, and found few mistakes, and I corrected them all, but now I'm not so sure if i got it all corrected. So if anybody could check it and tell me where do I
do it wrong, I'll bee grateful
integr... | 5 | [
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-0.01123046875... | 40,092 | 40092 | |
Formula for Squares inside Rectangles
Date: 06/29/2003 at 09:48:23
From: Jamie
Subject: Number of Squares inside rectangles
Is there an equation for how many squares there are in a rectangle
divided up into 1cm blocks? This is like the typical chessboard
puzzle.
Date: 06/29/2003 at 10:50:49
From: Doctor Jaffee
Subj... | 4 | [
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... | 40,093 | 40093 | |
is it correct?
June 4th 2006, 09:14 AM
kansai
need help gr12
can any one tell me how to do question 1, 3,4,5,6,7,8? and when u have answer plz remember to explain ur steps thnx
http://i74.photobucket.com/albums/i2...ng104/scan.jpg
June 4th 2006, 09:30 AM
malaygoel
hello, I could give answer to your f... | 4 | [
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0.000003248... | 40,094 | 40094 | |
Solutions curves
March 23rd 2010, 05:06 AM #1
Senior Member
Joined
Jan 2009
Posts
296
Solutions curves
Consider:
e^(-y)(dy/dt)+2 cost t=0
a) Solve it
I did this and got -e^(-y)=-2sint +C, or y=-ln(2sin t)+C
b) Does every value of C correspond to a solution curve? If not, which do and wh... | 5 | [
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-0.... | 40,095 | 40095 | |
Nonlinear equations in integers
up vote 4 down vote favorite
Linear patterns in subset of the integers (for example, primes) such as arithmetical progressions is a hot topic in mathematics. Recently, much progress has been made in this area. For example, the
next result of T. Sanders(in the paper "On Roth's theorem on... | 4 | [
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Is there a Morse theory proof of the Bruhat decomposition?
up vote 24 down vote favorite
10
Let $G$ be a complex connected Lie group, $B$ a Borel subgroup and $W$ the Weyl group. The Bruhat decomposition allows us to write $G$ as a union $\bigcup_{w \in W} BwB$ of cells given by double
cosets.
One way I have seen to ... | 4 | [
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Finance Help
November 2nd 2009, 04:14 PM
Hockey_Guy14
Finance Help
Benson Inc. is expected to pay the following dividends over the next four years: $7, $8, $4, and $2.50. Afterwards, the company pledges to maintain a constant 6 percent growth rate in dividends,
forever. If the required return on the stock is... | 4 | [
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-0.049560546875,
-0.03... | 40,098 | 40098 | |
Powers of sines and cosines
March 27th 2010, 11:22 PM #1
Powers of sines and cosines
Say we want to find $\int\sin^m{x}\cos^n{x}\;{dx}$. Then we would make use of the identity $\cos^2{x}+\sin^2{x}= 1$, if either $m$ or $n$ is odd, and $\cos^2x = \dfrac{1+\cos{2x}}{2}$ and $\sin^
2x = \dfrac{1-\cos{2x}}{2}$, i... | 4 | [
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