content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Dif EQ Word Prob
September 12th 2007, 07:25 AM
Ideasman
Dif EQ Word Prob
A tank contains 5000L of water. 20kg of salt is dissolved in the water. Brine, containing 0.03kg of salt per liter of water, makes its way in the tank at a rate of 25L per minute. Note that the
solution is thoroughly mixed and the solut... | 5 | [
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0.0517578125,
0.040771484375,
0.078125,
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0.050048828125,
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-0.017822265625,
-0.13... | 40,400 | 40400 | |
Parabola Equations
Date: 05/12/97 at 11:24:49
From: eileen williams
Subject: Conic, parabolas
Dear Dr. Math,
How do you derive the standard equation for a parabola from the
distance formula? I also need to know shifts, reflections, and
dilations for a parabola of the standard equation. I hope you will be
able to ... | 4 | [
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0.0830078125,
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-0... | 40,401 | 40401 | |
A generalization of Catalan numbers
up vote 6 down vote favorite
3
It is well-known that the $n$th Catalan number is equal to $(n+1)^{-1}\binom{2n}{n}$. A long time ago I had wondered what happens if you look at the sequence generated by $(n+k)^{-1}\binom{pn}{n}$ -
for which $p,k$ is it integral?
I found no other int... | 4 | [
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0.0145263671875,
-0... | 40,402 | 40402 | |
Linear Cosrt Functions
March 5th 2009, 12:04 PM #1
Newbie
Joined
Jan 2009
From
Oak Harbor Washington
Posts
13
Linear Cosrt Functions
**cost
Could someone break this down Barney style for me?
The manager of a frozen Air Referigerator factory notices that on Monday it costs the company a total... | 4 | [
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0.0242919... | 40,403 | 40403 | |
Spectral curve of Elliptic Calogero-Moser systems
up vote 2 down vote favorite
4
First, why all the coefficients in the characteristic polynomial of L are elliptic functions, since the diagonal entries of the matrix L are the momentums?
second, how to understand the ramification of the Spectral curve over the base el... | 4 | [
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-0.04296875,... | 40,404 | 40404 | |
Realizations in Biostatistics
Let’s say you are in the middle of a salary negotiation, and you want to know whether you should be aggressive in your offering or conservative. One way to help with the decision is to make a
decision tree. We’ll work with the following assumptions:
• You are at a job currently making $... | 5 | [
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... | 40,405 | 40405 | |
Cyclotomic extensions with split Galois group
up vote 4 down vote favorite
1
$\newcommand{\Gal}{\mathrm{Gal}} \newcommand{\Q}{\mathbf Q}$
Consider the set of all Galois extensions $E/\Q(\zeta_n)$ of a given cyclotomic field $\Q(\zeta_n)$ such that $$ \Gal(E/\Q) \simeq\Gal(E/\Q(\zeta_n)) \rtimes \Gal(\Q(\zeta_n)/\Q). ... | 4 | [
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0.080078125,
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0.0483398... | 40,406 | 40406 | |
"Step-by-Step" toric resolution process?
up vote 3 down vote favorite
1
WLOG the fan $\Sigma$ of our toric variety $X_{\Sigma}$ is simplicial. (So $X_{\Sigma}$ has at worst orbifold singularities and all cones $\sigma \in \Sigma$ are simplicial).
The classical toric resolution process shows that there exists a refine... | 4 | [
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Antiderivative help, please.
May 8th 2009, 04:37 PM #1
Junior Member
Joined
Apr 2009
Posts
53
Antiderivative help, please.
Hello,
I am stuck with this particular integral:
∫ tan^4(2x)sec^4(2x)dx
As far as I could go was to:
∫ (tan^2(2x)sec^2(2x))^2 dx
Any help is much appreciated... | 4 | [
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-0.... | 40,408 | 40408 | |
Multifractality of time series | Physics of Risk
Multifractality of time series
One of the conclusions of fractal geometry is a fact that fractals unlike traditional Euclidean shapes lack characteristic scale. Those “fractured” objects are self-similar – defining geometry is
clearly visible on multitude of scales. ... | 4 | [
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-0.0... | 40,409 | 40409 | |
Pure Mathematics
Posted by Queenie on Monday, September 23, 2013 at 10:59pm.
1)
i) use an algrbraic method to find the square root of 2+i√5. give your answer in the form x+iy, where x and y are exact real numbers
ii)hence find in the form x+iy where x and y are exact real numbers, the roots of the equation z^4-4z^2+... | 4 | [
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... | 40,410 | 40410 | |
Integration with Trig. Substitution
September 19th 2010, 02:04 PM #1
Junior Member
Joined
Sep 2008
Posts
33
Integration with Trig. Substitution
Hey guys:
Had one problem with my math homework:
$\int \frac{y^2}{25+y^2} dy$
So I tried $y=5\tan x$
So then: $dy=5\sec^2xdx$,
So the int... | 5 | [
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Find the Average Velocity
March 5th 2014, 12:30 PM #1
Member
Joined
Mar 2012
Posts
94
Find the Average Velocity
The position function s of a point P moving on a coordinate line l is given, with t in seconds and s(t) in centimeters.
(a) Find the average velocity of P in the following interval [1, 1.2... | 4 | [
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How to decompose an infinite set into two isomorphic ones without choice?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is it provable in ZF that each infinite set $A$ can be partitioned into two sets $B$ and $C$ which... | 5 | [
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Generating Functions question
October 11th 2009, 12:17 PM #1
Junior Member
Joined
Oct 2009
Posts
26
Generating Functions question
Alright I have two problems both of which i THINK need to be done with a generating function.... any tips would really be appreciated
First question:
1)Find the numb... | 5 | [
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-0.078... | 40,414 | 40414 | |
[SOLVED] General potential of a field
March 13th 2010, 10:19 AM #1
[SOLVED] General potential of a field
Let $\bold K(x,y,z)=(4xyz,2x^2z+2yz^2,2x^2y+2y^2z+4z^3)$ defined in $\mathbb{R}^3$.
Show that the field is irrotational and calculate the general potential of this field.
I've calculated its curl (0), ... | 5 | [
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Rubik's Cube Combinations
Date: 04/11/2001 at 10:12:57
From: Mr. Glapa
Subject: Combinations of possibilities
I read that a Rubik's cube has 4 quintillion (a 1 followed by 18 0's)
different possible combinations. We are studying much simpler
combinations, but I wanted to see if some of my students would be
willing t... | 5 | [
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Application of trig
September 28th 2009, 08:10 PM #1
Newbie
Joined
Sep 2008
Posts
9
Application of trig
The depth, D(t) metres, of water at the entrance to a harbour at t hours after midnight on a
particular day is given by D(t) = 10 + 3 sin(π t/6), 0 ≤ t ≤ 24.
a) Find the value of t for which D(... | 4 | [
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-... | 40,417 | 40417 | |
Math Help
May 18th 2010, 02:50 AM #1
Super Member
Joined
Oct 2007
From
Santiago
Posts
517
Counting
Hey guys, im a little confused with these questions.. Any help would be much appreciated.
(a) How many 6 digit numbers are there?
(b) How many even 6 digit numbers are there?
(c) How many... | 4 | [
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mathschallenge.net
Pairwise Products
Problem
For any set of real numbers, R = {x, y, z}, let sum of pairwise products,
S = xy + xz + yz.
Given that x + y + z = 1, prove that S
Solution
Let x = 1/3 + a, y = 1/3 + b, and z = 1/3 + c.
x + y + z = 1/3 + a + 1/3 + b + 1/3 + c = 1 + a + b + c.
But as x + y + z = 1, we... | 4 | [
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0.0063781738281... | 40,419 | 40419 | |
Math Help
January 28th 2009, 01:00 AM #1
Junior Member
Joined
Nov 2008
Posts
50
combination
what is the number of solution of x+y+z=17 in non- negative integers is:
the book answer is: (17+3-1 C 17)=19C17=171
but i dont unserstand why 17 and not 18???
because there are 18 digits from 0 to 10... | 4 | [
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very simple conditional probability question
up vote 1 down vote favorite
I know this isn't a research question, so it might get voted off, but here goes:
You know that a couple has two children. You go to the couple's house and one of their children, a young boy, opens the door. What is the probability that the coup... | 5 | [
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Intersection of Two Spheres
Date: 10/13/2003 at 10:48:31
From: D.S.
Subject: Intersection of 2 spheres
I was able to figure out from your previous answers how to find the
intersecting point when we have 3 spheres:
(x-x1)^2 + (y-y1)^2 + (z-z1)^2 = R1^2
(x-x2)^2 + (y-y2)^2 + (z-z2)^2 = R2^2
(x-x3)^2 + (y-y3)^2 +... | 4 | [
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Geometry of a Polynomial
This week, we’re going to talk about some of the more important ideas in algebraic geometry, and in particular we will be picking a polynomial and describing its geometry in detail. This polynomial
is not taken at random in any way, shape or form, but we’ll go in pretending that we have no clue... | 4 | [
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PHY105 Chpt 5 Circular Motion & Gravity
Physics MWCC Prof. E. Stevens Griffith, W. Thomas & Brosing, Juliet W. The Physics of Everyday Phenomena. New York: McGraw Hill, 2009.
Centripetal Force
Force(s) that make a body follow a curved path.
It is directed orthogonally to the velocity of the body, toward the instantan... | 4 | [
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-0.015... | 40,424 | 40424 | |
Partition induced by a relation
May 13th 2010, 07:47 AM #1
Newbie
Joined
Apr 2010
Posts
11
Partition induced by a relation
Let A be a nonempty set and fix the set B where B is a subset of A. Define the relation R on the power set of A as follows: for all subsets X, Y of A, X R Y if and only if B intersec... | 4 | [
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Union of Permutations
up vote 4 down vote favorite
1
This is a problem I asked on http://math.stackexchange.com/questions/647382/union-of-permutations. Feel free to close it if you think it below research level.
Having $k$ different permutations, $\pi_{1},\dots,\pi_{k}: \{1\ \ldots\ n\}\rightarrow \{1\ \ldots\ n\}$, ... | 5 | [
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IJAIEM-2013-06-20-055
International Journal of Application or Innovation in Engineering & Management (IJAIEM)
Web Site: www.ijaiem.org Email: editor@ijaiem.org, editorijaiem@gmail.com
Volume 2, Issue 6, June 2013 ISSN 2319 - 4847
... | 4 | [
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0.07666015625,
-0.06494140625,
0.0299072265625,
0.09912109375,
0.0791015625,
-0.0238037109375,
0... | 40,427 | 40427 | |
Writing expression in terms of t=tan x/2
March 3rd 2010, 10:28 PM #1
Newbie
Joined
Feb 2010
Posts
9
Writing expression in terms of t=tan x/2
Stuck on this one question.
3cosx + 4sinx, write in terms of t=tan x/2
The answer is 3 - 3t^2 +8t / 1+t^2
Sorry I just wrote it in normal text, in a ... | 4 | [
-0.07861328125,
0.0615234375,
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... | 40,428 | 40428 | |
Laboratory 4
060609/Thomas Munther
Halmstad University
School of Information Science, Computer and Electrical Engineering
Laboratory 4
Length about 2 hours with supervision.
Even if you completed the whole Lab-PM during these 2 hours you should try t... | 4 | [
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Homework Help
Posted by Reanna on Monday, July 4, 2011 at 4:13pm.
f(x)=(6x-6)/4
g(x)=1/x
Find (f/g)(x)
f(x)=6x-7
g(x)=8x-3
Find (f-g)(x)
f(x)=2-4x
g(x)=-6x+4
Find (f+g)(x)
• Algebra 2 - Henry, Wednesday, July 6, 2011 at 5:11pm
F(x) = (6x-6)/4.
g(x) = 1/x.
(F/g)(x) = ((6x-6)/4) divided by 1/x,
... | 4 | [
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0.050048828125,
-0.0888671875... | 40,430 | 40430 | |
Math Help
November 19th 2008, 08:11 AM #1
Newbie
Joined
Nov 2008
Posts
1
Limits:(
Hey all
This is my first ever post so here goes!!
REALLY stuck on two types of question about limits of functions.
In both cases a proof from first principle is required. In case one I need to prove that if ... | 4 | [
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0.012390... | 40,431 | 40431 | |
Union of two proper subgroups
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
When can a group be written as the set-theoretic union of its proper subgroups?
abstract-algebra
This question is unlikely to help any future ... | 4 | [
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Posts from May 2011 on The Science of Doom
The Mystery of Tau – Miskolczi – Part Six – Minor GHG’s
Posted in Atmospheric Physics on May 28, 2011 | 57 Comments »
In Part One I made the observation:
If the atmosphere has an invariant optical thickness then surely all molecules should be included?
Meaning all ‘rad... | 4 | [
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-0.066406... | 40,433 | 40433 | |
Complex Numbers Q
September 4th 2009, 12:08 AM #1
Junior Member
Joined
Sep 2009
Posts
56
Complex Numbers Q
P, Q represent complex numbers $\alpha ,\beta$ respectively where O is the origin and O, P, Q are not collinear. In triangle OPQ, the median from O to the midpoint M of PQ meets the median from Q
... | 5 | [
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-0... | 40,434 | 40434 | |
quick integration question...
February 26th 2008, 03:44 PM #1
Junior Member
Joined
Oct 2007
Posts
51
quick integration question...
how does
$<br /> <br /> \int \frac{-2x+1}{{x^2}+x+1}dx<br /> <br />$
become
$\int \frac{-2x-1}{{x^2}+x+1}dx\<br /> + 2 \int \frac{dx}{(x+{(1/2)^{2})}+(3/4)}<b... | 4 | [
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... | 40,435 | 40435 | |
Hecke algebras
In Sage a “Hecke algebra” always refers to an algebra of endomorphisms of some explicit module, rather than the abstract Hecke algebra of double cosets attached to a subgroup of the modular group.
We distinguish between “anemic Hecke algebras”, which are algebras of Hecke operators whose indices do not... | 5 | [
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... | 40,436 | 40436 | |
What is the insight of Quillen's proof that all projective modules over a polynomial ring are free?
up vote 38 down vote favorite
22
One of the more misleadingly difficult theorems in mathematics is that all finitely generated projective modules over a polynomial ring are free. It involves some of the most basic notio... | 4 | [
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Nonlinear FEA explained
Authored by:
Dimitrios Karamanlidis
Associate Professor
Department of Civil and Environmental Engineering
University of Rhode Island
Kingston, R.I.
Edited by Leslie Gordon
leslie.gordon@penton.com,
Twitter @LeslieGordon
Key points:
• Most problems are nonlinear from the get-go.
• Simplified lo... | 4 | [
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Quaternary quadratic forms and Elliptic curves via Langlands?
up vote 13 down vote favorite
7
The content of this note was the topic of a lecture by Günter Harder at the School on Automorphic Forms, Trieste 2000. The actual problem comes from the article A little bit of number theory by
Langlands.
The problem is abou... | 4 | [
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Finding the square root of 9+2√18
February 16th 2013, 05:28 AM #1
Newbie
Joined
Feb 2013
From
Delft
Posts
2
Finding the square root of 9+2√18
Hello everyone,
I'm learning math all over again and can't figure out how to solve this problem:
I know the answer to 9+2√18 = √6 + √3 from the back ... | 4 | [
-0.0556640625,
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0.04150390625,
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0.0336914... | 40,440 | 40440 | |
Limit with sin
April 29th 2008, 01:36 PM #11
Junior Member
April 29th 2008, 01:28 AM #10
April 28th 2008, 05:49 PM #9
Junior Member
April 28th 2008, 05:35 PM #8
April 28th 2008, 05:09 PM #7
Junior Member
April 28th 2008, 03:26 PM #6
April 28th 2008, 03:11 PM #5
April 28th 2008, 03:04 PM #4
April 28th 2008, 03:02 ... | 5 | [
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0.0260009765625,
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0.0393... | 40,441 | 40441 | |
Filling a Pool
Date: 07/28/97 at 21:28:15
From: moms address) (Jennifer Mann
Subject: Word Problem - fractions?
It takes 2 hours to fill a pool with the green hose, but 5 hours with
the black hose - how long does it take to fill it with both hoses at
same time ?
My solution: after one hour the green hose fills 1/2 ... | 4 | [
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Is there a closed form for $\sum_{|\gamma|=k} \gamma!$
up vote 4 down vote favorite
1
Consider the multi-index $\gamma=(\gamma_1,\ldots, \gamma_n)$. Is there a closed form for the sum $\sum_{|\gamma|=k} \gamma!$ in terms of $n$ and $k$? Asymptotics, or good upper bounds are also very
helpful.
Here is what I have trie... | 5 | [
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Conditional probability density function
February 25th 2009, 12:11 AM #1
Newbie
Joined
Jan 2009
Posts
11
Conditional probability density function
Please help me with this. Any suggestions are greatly appreciated.
Imagine that I have a bank account. X is the amount of cash on the account at time t+1. ... | 4 | [
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-0.064941... | 40,444 | 40444 | |
Math Forum Discussions - Re: How to get the Real and Imaginary part of an expression
Date: Jan 5, 2013 2:18 AM
Author: emammendes@gmail.com
Subject: Re: How to get the Real and Imaginary part of an expression
Dear All
Many thanks for the answers. I have adapted some of them to my needs.
Cheers
Ed
On Jan 3, 2013... | 5 | [
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... | 40,445 | 40445 | |
Structure of F_p[G], for finite group G ?
up vote 3 down vote favorite
2
Consider group algebra k[G] of finite group G. If k is alg.closed then every irrep lives there with multiplicity equal to dimension. (More conceptually as bimodule over GxG it is multiplicity free
and all irreps live there).
Now let k=F_p what... | 4 | [
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... | 40,446 | 40446 | |
TI-30X - IIS S
TI-30X Ú S:
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Gary Hanson and Aletha Paskett
Illustrated by
Jay Garrison
Summary of Contents
• TI-30X Ú S: A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Ha... | 4 | [
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0.02844238281... | 40,447 | 40447 | |
lenght on a ladder
March 16th 2011, 11:38 AM #1
Junior Member
Joined
Dec 2010
Posts
52
lenght on a ladder
I have problem with this question :/
a 2 meter high plank stands on the distanse 3 meter from a wall. Decide the shortest lenght a ladder must have to reach from the ground to the wall. (the wal... | 4 | [
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0... | 40,448 | 40448 | |
Finding matrices with a given eigenvector/eigenvalue
April 23rd 2011, 10:09 PM #1
Member
Joined
Dec 2010
Posts
92
Finding matrices with a given eigenvector/eigenvalue
Problem: Find all 2x2 matrices for which $\begin{bmatrix} 2\\ 3 \end{bmatrix}$ is an eigenvector with associated eigenvalue -1.
Here'... | 4 | [
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-0.0451660... | 40,449 | 40449 | |
CH
A Cognitive Hierarchy Theory of
One-Shot Games
Teck H. Ho
Haas School of Business
University of California, Berkeley
Joint work with Colin Camerer, Caltech
Juin-Kuan Chong, NUS
CH M... | 5 | [
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-0.046142578... | 40,450 | 40450 | |
Testing solutions in logarithmic equations
April 22nd 2009, 06:17 PM #1
Newbie
Joined
Apr 2009
Posts
8
Hello I'm a newbie. I need help with my homework. I have ADD bad. I don't understand this section Could someone please show how to work these problems?
In Ex. 1-8, determine whether each x-value is ... | 4 | [
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-0.06103... | 40,451 | 40451 | |
f_n(x,p) converge uniformly to nice f(x,p); do zeros of f_n(.,p) converge uniformly to zeros of f(.,p)?
up vote 1 down vote favorite
1
Fix compact intervals $X, P \subseteq \mathbb{R}$.
Let $f_n : X \times P \to \mathbb{R}$ be a sequence of $C^2$ functions converging uniformly to a $C^2$ function $f$. The first and s... | 5 | [
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-0.... | 40,452 | 40452 | |
Proof of divisibility
Let n be an odd integer. Prove that n^3/n is divisible by 24.
Last edited by dolphinlover; October 2nd 2008 at 10:08 AM. Reason: don't know how to use latex
$\frac{n^3}{n} = n^2$, which is not necessarily divisible by 24 if n is odd. Examples: $3^2 = 9, 5^2 = 25$. Perhaps you wrote the problem i... | 4 | [
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6th Grade Math Problems
6th grade math word problems can be pretty challenging, especially when you are trying to get your way around fractions, decimals, percentages and proportions. However, there is an easy way to crack
those math problems and it is as simple as going online. Online 6th grade math problems give stud... | 4 | [
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Improvements on Secant Method for Estimating Internal Rate of Return
James Moten Jr. and Chris Thron
Department of Accounting, Economics, and Finance and Department of Mathematics
Texas A&M ... | 4 | [
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0.016... | 40,455 | 40455 | |
general solution to differential equation
December 11th 2013, 02:45 PM #1
Newbie
Joined
Dec 2013
From
USA
Posts
7
general solution to differential equation
For our practice final one of the questions is
Find the general solution to the following differential equation: y'' - 4y' + 4y =x^2 - 3x + ... | 4 | [
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0.0062255859375,
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0.01470947265625,
-0.00323486328125,
-0.0... | 40,456 | 40456 | |
Basis problem , finding coordinates
September 15th 2012, 10:51 PM #1
Member
Joined
Jan 2011
Posts
83
Basis problem , finding coordinates
Hi , the problem is written like this:
In a basis (e1,e2,e3) in r^3
F1=(1,0,1) , F2 = (0,1,1) f3 = (1,1,0)
Show That (F1,f2,f3) is also a basis in r^3 and g... | 5 | [
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-0... | 40,457 | 40457 | |
continuous functions between Topologies
October 18th 2011, 06:34 AM #1
Junior Member
Joined
Jan 2010
Posts
28
continuous functions between Topologies
Hi there, I've got quite a big assignment about topological spaces and think I'm doing OK apart from this bit...
Let X and Y be topological spaces. Sh... | 4 | [
0.06591796875,
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0.02734375,
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Goedelizability and decidability of a property of Peano formulas
up vote 4 down vote favorite
Sorry for not knowing the answers to these elementary questions:
Is the property of formulas of the first-order language of Peano arithmetic of "defining a finite set of natural numbers" goedelizable?
If so: Is the set of f... | 5 | [
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integral - trig substitution?
November 20th 2011, 02:02 PM #1
Member
Joined
Aug 2011
Posts
117
integral - trig substitution?
Is this a trig substitution or a u-substitution problem?
It dont seem to work out for trig substitution..
$\int \frac {x^3}{ \sqrt {1 - 4x^2}}dx$
$x = sin\theta$
... | 5 | [
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... | 40,460 | 40460 | |
Volume 24,
Volume 24, Issue 6, June 1983
•
View Description Hide Description
Elements of the classical complex and real Lie and Jordan algebras with involutions are classified into conjugacy classes under the action of the corresponding classical Lie group. Normal forms
of representatives of each conj... | 4 | [
-0.09912109375,
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0.005828857421875,
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0... | 40,461 | 40461 | |
Existence of solution to quasilinear parabolic PDEs
up vote 0 down vote favorite
1
Hello.
I want to prove the existence of a weak solution to:
Find $u:S^1 \times [0,T) \to \mathbb{R}$ such that $$\frac{\partial u}{\partial t} = u^{n_1}\frac{\partial^2 u}{\partial x^2} + u^{n_2}$$ with $u(x, 0) = u_0(x)$ where $u_0 \... | 5 | [
-0.045654296875,
-0.0301513671875,
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-0.037353515625,
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0.0179443359375,
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-0.031494140625,
0.0013885498046875,
0.005218505859375,
-0.017333984375,
-0.00... | 40,462 | 40462 | |
Line / Circle intersection
February 28th 2011, 11:55 AM #1
Newbie
Joined
Feb 2011
Posts
1
Line / Circle intersection
Alright, here's the problem:
Water is flowing from a major broken water main at the intersection of two streets. The resulting puddle of water is circular and the radius r of the pudd... | 4 | [
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0.05224609375,
-0.07861328125,
0.00375366... | 40,463 | 40463 | |
A lower bound of a particular convex function
up vote 3 down vote favorite
2
Hello, I suspect this reduces to a homework problem, but I've been a bit hung up on it for the last few hours. I'm trying to minimize the (convex) function $f(x) = 1/x + ax + bx^2$ , where $x,a,b>0$.
Specifically, I'm interested in the minima... | 5 | [
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-0.006072998046875,
0.0439453125,
0.1357421875,
0.047119140625,
-0.05... | 40,464 | 40464 | |
Awfully sophisticated proof for simple facts
up vote 115 down vote favorite
112
It is sometimes the case that one can produce proofs of simple facts that are of disproportionate sophistication which, however, do not involve any circularity. For example, (I think) I gave an
example in this M.SE answer (the title of thi... | 4 | [
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0.0084228515625,
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-0.00927734375,
-0.0322265625,
0.0361328... | 40,465 | 40465 | |
Understanding the analytic index map of the Atiyah-Singer index theorem
up vote 4 down vote favorite
4
Hi,
I'm currently trying to understand the Atiyah-Singer index theorem and its proof as presented in the book "Spin Geometry" by Lawson and Michelsohn.
I do not understand why the analytic index map $\operatorname{... | 4 | [
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-0.... | 40,466 | 40466 | |
AP STATISTICS Random Variables
December 11th 2012, 08:19 PM #1
Senior Member
Joined
Nov 2012
From
Hawaii
Posts
260
Thanks
2
AP STATISTICS Random Variables
While he was a prisonerof war during World War II, John Kerrich tossed a coin10,000 times. He got 5067 heads. If the coin is perfectlybalanced... | 5 | [
0.0400390625,
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0.0289306640625,
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0.044921875,
0.0032196044921875,... | 40,467 | 40467 | |
[SOLVED] Proof of divisibility by Induction
November 14th 2007, 04:26 PM #1
Newbie
Joined
Oct 2007
Posts
6
[SOLVED] Proof of divisibility by Induction
I am having difficulty with induction in several areas, however one question at a time.
Ex. if 6 divides n(n^2 + 5) for all n >=1 prove for n+1.
... | 4 | [
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0.033935546875,
-0.051025390625,
-0.029296875,
-0.037353515625,
0.0346... | 40,468 | 40468 | |
Joint PMFs of Multiple Random Variables - Urgent Help
November 20th 2009, 02:18 AM
essedra
Joint PMFs of Multiple Random Variables - Urgent Help
It says my answers are incorrect. Can anyone help me please? What did I do wrong..?
On a given day, your golf score takes values from range 100 to 109, with probab... | 5 | [
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0.04296875,
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-0.06298828125,
-0.032470... | 40,469 | 40469 | |
Math Forum Discussions - Monty Hall Problem: Tree Diagram
Date: May 14, 1998 11:32 AM
Author: Domenico Rosa
Subject: Monty Hall Problem: Tree Diagram
The Monty Hall problem has been discussed in numerous posts to this
list. The e-mail newsletter CHANCE News 7.04 reported that this
problem has resurfaced in The Indepen... | 4 | [
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-0.07177734... | 40,470 | 40470 | |
[SciPy-User] the skellam distribution
josef.pktd@gmai... josef.pktd@gmai...
Mon Nov 9 13:36:29 CST 2009
2009/11/9 Ernest Adrogué <eadrogue@gmx.net>:
> 9/11/09 @ 09:40 (-0500), thus spake josef.pktd@gmail.com:
>> Thanks, I think the distribution of the difference of two poisson
>> distributed random variables could b... | 4 | [
-0.060302734375,
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0.0634765625,
-0.045654296875,
0.0133056640625,
-0.09... | 40,471 | 40471 | |
MBA Math
Solution
Solution Commentary
Manual Solution
The equilibrium point is the point where the demand and supply curves intersect.
Calculate the equilibrium point algebraically by setting D(p) = S(p) and solving for p.
270 - 15p = 42 + 15p
228 = 30p
Solving for p and rounding to the nearest cent yields an ... | 4 | [
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0.05029296875,
-0.00994873046875,
-0.0040283203125,
-0.041748046... | 40,472 | 40472 | |
Probability: tree diagram
December 8th 2009, 09:32 PM #1
Newbie
Joined
Dec 2009
Posts
8
Probability: tree diagram
A bag contains six white marbles, and four blue marbles. Three marbles are drawn in succession. At each draw, if the marble is white, it is replaced, and if its blue it is not replaced.
.... | 4 | [
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0.03125,
-0.030029296875,
0.06103515625,
0.0106201171875,
0.0339355468... | 40,473 | 40473 | |
When is a submersion locally volume-expanding?
up vote 9 down vote favorite
3
I would like to characterize the smooth maps $\varphi: \mathbb{R}^n \rightarrow \mathbb{R}^k$, $n\geq k$, with the following property:
For every $x\in \mathbb{R}^n$ there exists a positive number $r_0=r_0(x)$ such that for every positive nu... | 4 | [
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0.0220947265625,
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0.049560546875,
0.040283203125,
0.0273437... | 40,474 | 40474 | |
Area and Perimeter
May 1st 2007, 04:39 PM #1
Newbie
Joined
Apr 2007
Posts
9
Hello,
I have 2 word problems that I think are unsolvable
1. A garden plot 4m by 12m has one side along a fence. The area of the garden is to be doubled by digging a border of uniform width on the three other sides. What ... | 4 | [
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0.056396484375,
-0.05078125,
0.0341796875,
0.043701171875,
0.072265625,
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0.0810546875,
0.0179443359375,
0.0986328125,
-0.047607421875,
0.09228515625,
-... | 40,475 | 40475 | |
matlab error: Inner matrix dimensions must agree
March 16th 2011, 10:13 AM #1
Member
Joined
Jul 2008
From
Sofia, Bulgaria
Posts
75
matlab error: Inner matrix dimensions must agree
Hi all!
I am having great trouble in the last days trying to make matlab plot for me a function of a matrix exponent... | 5 | [
-0.050537109375,
-0.019287109375,
-0.10546875,
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0.0235595703125,
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0.01397705078125,
-0.015869140625,
0.032470703125,
-0.0419921875,
-0.034912109375,
-0.... | 40,476 | 40476 | |
inH2O - Inches of Water Column at 4 deg C Pressure Unit
Inches of water gauge or column is an english and american unit for measuring liquid level. 1 inch of water column at 4 degrees celsius equals 249.089 Pascals.
The hydrostatic pressure generated by a certain liquid level is typically represented by the equivalen... | 4 | [
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0.08056640625,
0.04931640625,
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0.01220703125,
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0.03662109375,
-0.06982421875,
-0.06494140625,
-0.0303955078125,
0.0291748046... | 40,477 | 40477 | |
method of moments and max likelihood from a Rayleigh distribution
January 12th 2013, 02:14 AM #1
Newbie
Joined
Jan 2013
From
london
Posts
16
method of moments and max likelihood from a Rayleigh distribution
Let x1, x2, ...xn be a random sample from a Rayleigh distribution whoose probability density i... | 5 | [
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-0.041748046875,
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0.051025390625,
0.0303955078125,
-0.06127929... | 40,478 | 40478 | |
Smith normalform of a Matrix with -1 outside the diagonal
up vote 6 down vote favorite
2
Hi, I have given a matrix of the following form:
$M = \begin{pmatrix} a_0 & -1 & \cdots & \cdots & -1 \newline -1 & a_1 & -1 & \cdots & -1 \newline \vdots & & \ddots & & \vdots \newline \vdots & & & \ddots & \vdots \newline -1 & ... | 5 | [
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-0.05029296875,
-0.0849609375,
0.031982421875,
0.057373046875,
0.030273437... | 40,479 | 40479 | |
Hurwitz Encoding
up vote 7 down vote favorite
5
In "Random Matrices and Random Permutations" by Okounkov it says, "It is classically known that every problem about the combinatorics of a covering has a translation into a problem about permutations
which arise as the monodromies around the ramification points." Apparen... | 4 | [
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-0.0145263671875,
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0.040771484375,
-0.09521484375,... | 40,480 | 40480 | |
Covariance of INID order statistics
up vote 11 down vote favorite
4
In the IID case, it is known that all order statistics are positively correlated.* Thus, we know that $$\text{Cov}(X_{(i)},X_{(j)}) \geq 0.$$ Is this known in the INID (independent, non-identically
distributed) case? If it is not known, how could this... | 5 | [
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-0.0025787353515625,
0.0218505859375,
0.037109375,
-0.03613281... | 40,481 | 40481 | |
Successive over-relaxation method - SOR
From CFD-Wiki
(Difference between revisions)
Tsaad (Talk | contribs) Jasond (Talk | contribs)
... | 4 | [
-0.0712890625,
0.054931640625,
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0.033935546875,
-0.00836181640625,
-0.040283203125,
-0.0... | 40,482 | 40482 | |
Images: 2D signals
ℱuv=∫−∞∞∫−∞∞fxye−(iux)e−(ivy)dxdy ℱ u v y x f x y u x v y where ℱℱis 2DFT, u and v is freq variables in xu x u and yv y v
2D Complex Exponentials are Eigenfunctions for 2D LSI Systems ∫−∞∞∫−∞∞hx−αy−βei u0 αei v0 βdαdβ β α h x α y β u0 α v0 β change of variables α′ =x−α α′ x α , β′ =... | 4 | [
-0.0458984375,
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0.005218505859375,
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-0.0791015625,
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0.15234375,
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0.0128173828125,
0.00958251953125,
0.0556640625,
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0.002395... | 40,483 | 40483 | |
Irrationality
Irrationality
When I talk of irrationality, I mean, of course, irrational numbers. Now these numbers are not irrational in the same way your girlfriend is, these numbers go on and on and on forever and ever and
ever. Ok, maybe there are some similarities, but unlike your girlfriend these numbers never... | 4 | [
-0.07421875,
-0.07958984375,
0.01446533203125,
-0.006072998046875,
-0.0517578125,
0.009033203125,
-0.0283203125,
-0.0263671875,
0.130859375,
-0.0830078125,
-0.037841796875,
-0.0361328125,
0.052734375,
0.041748046875,
0.0220947265625,
-0.09423828125,
-0.00177001953125,
0.01232910156... | 40,484 | 40484 | |
Decomposition of induced representations / Refinement of Mackey's criterion
up vote 8 down vote favorite
There are already some questions with almost the same title, but they are more restrictive.
Let $G$ be a finite group, $H$ a subgroup, $V$ an irreducible representation of $H$, and $W=Ind_H^G V$ the induced repres... | 4 | [
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0.03125,
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-0.01123046875,
-0.000007808208465576172,
-0.05419921875,
-0.06298828125,
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0.05419921875,
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-0.0751953125,
0.026611328125,
0.056640625,
0.0512695312... | 40,485 | 40485 | |
basic algebra
December 26th 2012, 07:27 AM #1
Newbie
Joined
Sep 2012
From
India
Posts
21
basic algebra
x-p/x+p = p+q/p-q
sorry about the...inaccuracy.please solve this I tried this like 10 times already and i always get 2(xq+p^2) or something and I know its wrong. please help me
thnx
Re: b... | 4 | [
-0.06884765625,
0.04296875,
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0.0220947265625,
-0.0654296875,
0.08203125,
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-0.0283203125,
0.031494140625,
-0.01068115234375,
0.0703125,
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0.003570556640625,
0.103515625,
-0.00171661376953125,
0.06396484375,
-0.0673828125,
0.040283203125,
0... | 40,486 | 40486 | |
Hyperbola equation solving
March 31st 2012, 09:14 AM #1
Hyperbola equation solving
Prove that the stright lines x/a - y/b = m and x/a + y/b = 1/m where a and b are given positive real numbers and m is a parameter always meet on a hyperbola.
No idea how to go about this one. Does this mean that the lines are ... | 4 | [
-0.03564453125,
-0.00020885467529296875,
-0.02490234375,
-0.029296875,
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0.031982421875,
0.00653076171875,
0.19921875,
0.001670... | 40,487 | 40487 | |
Solve Linear PDE via a change of variables
February 11th 2011, 08:06 AM
bugatti79
Solve Linear PDE via a change of variables
$<br /> \omega(r,\theta)=u(r cos (\theta),r sin (\theta))<br />$ for some function u(x,y)
$<br /> \displaystyle y \frac{\partial u}{\partial x}-x\frac{\partial u}{\partial y}=1<br />$... | 5 | [
-0.07080078125,
0.01507568359375,
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0.0037841796875,
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0.017333984375,
0.06787109375,
0.046875,
-0.11279296875,
-0.041748... | 40,488 | 40488 | |
Antiderivative
What is the antiderivative of (ln n)^2/n^2? Any help would be greatly appreciated. Thanks.
You need to use integration by parts. I.e. $\int{u\,dv} = u\,v - \int{v\,du}$. Let $u = (\ln{n})^2$ so that $du = \frac{2\ln{n}}{n}$. Let $dv = \frac{1}{n^2}$ so $v = -\frac{1}{n}$. Therefore $\int{\
frac{(\ln{n})... | 5 | [
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0.0203857421875,
-0.04... | 40,489 | 40489 | |
Inventory - PowerPoint
Operations Management (2)
Inventory Models
Prof. Upendra Kachru
All organizations have inventory Can be a sizable organizational asset Influences sales (revenue generation and customer relations) Influences production/ operations cos... | 5 | [
-0.06982421875,
0.001251220703125,
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0.01171875,
-0.0576171875,
0.0673828125,
... | 40,490 | 40490 | |
Patent US5149996 - Magnetic gain adjustment for axially magnetized linear force motor with outwardly surfaced armature
TECHNICAL FIELD
This invention relates to the field of electrical motive power systems and more particularly to the field of linear-movement motors.
BACKGROUND ART
It is known that an axially magnet... | 4 | [
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0.0... | 40,491 | 40491 | |
Arithmetic Sequences
March 28th 2007, 04:26 PM
Dragon
Arithmetic Sequences
In an arthmetic sequence of positive numbers the sommon difference is twice the first term and he sum of the first six terms is equal to the square of the first term. Find the first term in the
sequence.
March 28th 2007, 06:16 PM
Jh... | 4 | [
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0.0272216796875,
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0.00... | 40,492 | 40492 | |
Finding the Last Few Non-Zero Digits of Large Factorials
Date: 10/08/2007 at 07:27:38
From: Borislav
Subject: Last non zero digits of N!
I'm trying to find a way to find the last X non-zero digits of N!
(factorial). It's obvious that it can be solved while preserving the
last digits and ignoring the first. Like thi... | 5 | [
-0.0064697265625,
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0.0400390625,
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0.002593994140625,
-0.0517578125,... | 40,493 | 40493 | |
basic finance
Basic Financial Calculations
Discounting Future Cash Flows
Stocks, bonds, and other instruments that are discussed in the business section of newspapers and on financial web sites represent claims on future cash flows. If I buy a stock or a bond, then I
receive payments in the future. The most basic con... | 5 | [
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0.06591796875,
0.0673828125,
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0.0654296875,
0.01513671875,
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-0.035888671875,
0.0133666992187... | 40,494 | 40494 | |
8 chairs are placed at the sides of a long table in such a way that three are 4 chairs on the left and 4 chairs on... - Homework Help - eNotes.com
8 chairs are placed at the sides of a long table in such a way that three are 4 chairs on the left and 4 chairs on the right. 8 children are to be seated on these chairs. If... | 4 | [
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... | 40,495 | 40495 | |
Monty Hall Solution
This page describes the solution to the
MontyHallProblem
. Do not read further if you don't want the puzzle spoiled. Keep in mind that Monty
knows
behind which door the prize is, and will
always
open an empty door. He will not cheat by moving the prize, and he will always offer you the opportu... | 5 | [
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0.04150390625,
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0.0164794921875,
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... | 40,496 | 40496 | |
Order of a 3D Triangle
Date: 08/29/2001 at 07:40:38
From: vincent
Subject: Winding order af a 3d triangle
Hi,
Do you know how to find the winding order of a triangle given three
points in space (x,y,z)? I want to know if when I visit the vertex
from a to b, then from b to c, and returning to a, I am going
clockwise... | 4 | [
-0.0712890625,
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0.00982666015625,
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-0.0... | 40,497 | 40497 | |
Related rates problem.. :)
September 17th 2012, 06:20 AM #1
Newbie
Joined
Aug 2012
From
Manila, Philippines
Posts
24
Thanks
1
Related rates problem.. :)
Hello So first this is the problem:
A Swimming pool is 20 ft. wide, 40 ft. long, 3 ft. deep at the shallow end and 9 ft. deep at it's deep... | 5 | [
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0.1162109375,
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0.07763671875,
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0.057... | 40,498 | 40498 | |
instantenous motion
March 14th 2007, 01:54 PM #1
Guys as always I appreciate you help. I think this is one of the best sites on the internet. I do however have a question:
A particle moves along a straight line and its position at time t s given by s(t)= 2t^3 - 15 t^2 + 24 t where s is measured in feet and t ... | 4 | [
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0.0417... | 40,499 | 40499 |