content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
area between 2 curves using |f(x)dx-g(x)dx|
April 20th 2010, 09:07 AM #1
Member
Joined
Sep 2009
Posts
149
area between 2 curves using |f(x)dx-g(x)dx|
problem:
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectang... | 4 | [
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0.076171875,
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0.0194091796875,
0.059326171875,
-0.04345703125,
0.031982421875,
0.0179443359375,
-... | 36,000 | 36000 | |
telephone bills
June 5th 2007, 09:34 AM #1
Newbie
Joined
Dec 2006
Posts
3
A. To use the telephone banking pay bills the customer has to enter the last three digits of each bill. The numbers 0-9 inclusive can be used. If the numbers happen to be on the same on more one
bill the customer has to enter th... | 5 | [
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0.0322265625,
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-0.04638671875,
... | 36,001 | 36001 | |
Finding the volume of a solid using it's equation?
February 27th 2014, 11:30 AM #1
Member
Joined
Feb 2014
From
USA
Posts
231
Finding the volume of a solid using it's equation?
A solid has, as its base, the circular region in the xy-plane bounded by the graph of x2 + y2 = 4. Find the volume of the sol... | 5 | [
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0.00714111328125,
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0.09228515625,
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-0.01953125,
0.038330078125,
-0.0... | 36,002 | 36002 | |
Prove that 2n choose n is greater than or equal to ...
January 9th 2013, 12:56 AM #1
Newbie
Joined
Oct 2012
From
Montréal
Posts
14
Prove that 2n choose n is greater than or equal to ...
Our teacher asked this question in a homework :
Prove : $\binom{2n}{n} \ge \frac{4^{n}}{2n+1}$
I found th... | 5 | [
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0.09912109375,
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0.02001953125,
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0.10595703125,
0.04638671875,
0.01251220703... | 36,003 | 36003 | |
What is the Value of K?
Date: 01/24/2003 at 07:59:11
From: Kellie
Subject: Values of integers
For positive integer values on N, define N! to be the sum of integers
1 to N inclusive. For example 3! = 1+2+3 = 6. If 10!-9! = k! and K
is a positive integer, what is the value of K?
(a)1 (b)4 (c)10 (d)46 (e)55
Date: 01/... | 4 | [
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-0.0380859375,
-0.005126953125,
... | 36,004 | 36004 | |
Inverses
May 1st 2010, 04:10 PM
CSG18
Inverses
Hi,
Why is it that if B = A^-1,
B^-1 = A
I understand that whatever you do to one side, you have to do the same for the other side, but I don't understand how (B^-1)(B^-1) = B
Can anyone please explain?
Thanks.
May 1st 2010, 05:02 PM
jaknc... | 4 | [
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0.109375,
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... | 36,005 | 36005 | |
Isometric (?) embedding problem.
up vote 10 down vote favorite
3
Given a convex surface $S$ in $\mathbb{R}^3,$ you can associate to each point the length of the inward pointing normal contained inside $S.$ Call this quantity $s(x).$ Now, given a positive function
$f$ on the sphere $S^2,$ are necessary and sufficient c... | 4 | [
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0.09423828125,
0.01611... | 36,006 | 36006 | |
trace vs state in von Neumann algebras
up vote 2 down vote favorite
1
The question may be not appropriate with the title, sine I do not know how to name it. I apologize.
Let M be a finite $II_1$ factor, $\tau$ be the canonical trace. Let $p, q$ be two projections in M, if $\tau(p+q)>1$, we know that there exists a no... | 5 | [
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0.04... | 36,007 | 36007 | |
Convergent/Divergent Integral
Evaluate the following integral if it is convergent. $<br /> \int_1^{\infty}\frac{ln^2x}{x^3}dx$
Of course we evaluate as long as having its convergence: For all $x\ge1$ is $\ln x<\sqrt x,$ thus $\ln^2x<x$ hence $\frac{\ln^2x}{x^3}<\frac1{x^2},$ and the integral converges since $\int_{x\g... | 5 | [
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0.00576782226562... | 36,008 | 36008 | |
A question about measurable structures on function spaces
up vote 2 down vote favorite
1
Hey, I was just wondering, I'm using some of Robert Aumann's ideas about measurable structures on function spaces (From his paper 'Borel structures for Function spaces': http://projecteuclid.org/
euclid.ijm/1255631584) and I had a... | 4 | [
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0.03662109375,
0.... | 36,009 | 36009 | |
Optimisation of area
August 18th 2007, 06:10 PM #1
Newbie
Joined
Aug 2007
Posts
7
Optimisation of area
Hi guys, heres another great optimisation problem Just having a bit of trouble getting the right equations etc any help appreciated. Also as is stated in the brackets a net of the shape is
required.... | 5 | [
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0.0786... | 36,010 | 36010 | |
Declining Balance Interest
Date: 03/22/99 at 23:34:54
From: Maria Santigate
Subject: Declining balance interest
I have been asked by my cooperative teacher to explain declining
balance interest to a 12th grade business class. I have been unable
to find any information in the business math books. Can you provide
me w... | 4 | [
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0.04931640... | 36,011 | 36011 | |
Intergration (can someone work out)
June 8th 2010, 03:28 AM
cjdyer
Intergration (can someone work out)
i would greatly appreciate if someone could work these out for me, because im struggling and need some examples on how to intergrate
bold letter are powers!
y = 3x6
y = 4x4 +3
y = (5-3x)2
... | 5 | [
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... | 36,012 | 36012 | |
Math Help
July 4th 2006, 06:26 AM #1
Junior Member
Joined
Apr 2006
Posts
37
Derivate.
given is $y(x)=ln(tan(\frac{x}{2}))-atan(x)ln(1+sin(x))-x$
so I would like to derivate this
thus we can split it in 3 part
First $ln(tan(\frac{x}{2}))$ wil be $\frac{1}{2}\frac{sec^2(\frac{x}{2})}{tan(\f... | 5 | [
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0.03... | 36,013 | 36013 | |
$[\nu_4,\iota_4]=?$, $\nu_4$ is the Hopf map in $\pi_7(S^4)$ and $\iota_4$ is the generator of $\pi_4(S^4)$
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
$[\nu_4,\iota_4]=?$, where $\nu_4$ is the Hopf map in $\pi_7(S^4)$... | 5 | [
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... | 36,014 | 36014 | |
Higher Order Complex Roots
July 15th 2007, 05:01 PM #1
Newbie
Joined
Jul 2007
Posts
16
Higher Order Complex Roots
Find the general solution to the given differential equation:
$<br /> y^{(4)} - 8 y' = 0<br />$
$<br /> y''' + 5 y'' + 6 y' + 2 y = 0<br />$
$<br /> 4 y''' + y' + 5 y = 0<br />... | 5 | [
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... | 36,015 | 36015 | |
Step Functions
March 25th 2009, 09:18 AM #1
Newbie
Joined
Mar 2009
Posts
10
Step Functions
Hey amigos
Step Functions.. I have quite a few sample problems, however they are all so nice as to have either a full period as the subscript on u, or something like pi/2 so i can convert from sine to
cosi... | 5 | [
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-0.0407... | 36,016 | 36016 | |
So, how exactly does a p-series converge
November 7th 2009, 02:59 PM #1
Newbie
Joined
Nov 2009
Posts
1
So, how exactly does a p-series converge
I'm studying the p-series convergence test right now , I understand what the theorem says but I don't understand why it works. I understand that a harmonic serie... | 5 | [
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Mock-Rational Numbers
For any positive integer n let f(n) denote the integer given
by the recurrence
f(n) = 10 f(n-1) + n
with the initial value f(0) = 0. Thus we have f(1)=1, f(2)=12,
f(3)=123, and so on. The square roots of f(n) for odd integers
n give a persistent pattern, appearng to be rational ... | 5 | [
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-0.020629882812... | 36,018 | 36018 | |
Difference between $S^2$-bundles over $S^2$ and $CP^2\sharp CP^2$
up vote 2 down vote favorite
3
I want to distinguish $S^2$-bundles over $S^2$ from $CP^2\sharp CP^2$.
As you know, a $S^2$-bundle over $S^2$ is $S^2\times S^2$ or $M= S^3\times_{S^1}S^2$ where $M$ is diffeomorphic to a cohomogeneity one manifold, i.e, ... | 4 | [
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0... | 36,019 | 36019 | |
left cosets of Z2 x Z4
November 29th 2012, 03:15 PM #1
Newbie
Joined
Nov 2012
From
Connecticut
Posts
5
left cosets of Z2 x Z4
So I am having a problem. The question is:
Find the left coset of <(1,0)> in Z[2 ]x Z[4].
Since there are 8 elements in Z[2 ]x Z[42 ]and only 2 in (1,0), there shoul... | 4 | [
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-0.02587890625,
-0.05224609375... | 36,020 | 36020 | |
Finding rational and irrational between two numbers
March 19th 2008, 01:55 AM #1
MHF Contributor
Joined
Oct 2005
From
Earth
Posts
1,599
Finding rational and irrational between two numbers
My professor assigned a proof that between any two real numbers there exists both a rational and an irrational nu... | 5 | [
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-0.00860595703125,
-0.... | 36,021 | 36021 | |
Accumulators
April 6th 2008, 11:40 AM #1
Newbie
Joined
Dec 2007
Posts
9
Accumulators
Ok the question reads:
A long lake is used as a reservoir to supply a hydro dam. The lake is approximately the shape of a rectangular prism with a length of 80 km, a width of 2km and a depth of 500m. On January 1st,
... | 5 | [
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0.04345703125,
-0.00921630859375,
-0.025634... | 36,022 | 36022 | |
Rings and Ideals
January 15th 2009, 08:02 AM #1
Junior Member
Joined
Nov 2008
Posts
50
Rings and Ideals
Need some help...
Let $\mathbb{Z}[\sqrt{-5}]$ the ring of gaussian integers.
1)Show that $<3>=<3;1+\sqrt{-5}><3;1-\sqrt{-5}>$
( $<a>$ means the ideal generated by $a$)
2)Prove that t... | 5 | [
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0.0478515625,
-... | 36,023 | 36023 | |
Fredholm Intergral Equation
April 22nd 2008, 01:45 AM #1
Fredholm Intergral Equation
I need to find a general solution,
$f$ ∈ $E [0, \infty)$
for the Fredholm intergral equation:
$f(x) = \gamma cos (x) + \delta sin (x) + \lambda (Mf)(x)$
where $M$ is the intergral operator defined by
$(Mf... | 5 | [
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0.0810546875,
0.006866455078125,
-0.0006217956542... | 36,024 | 36024 | |
Maclaurin series question
July 29th 2008, 11:41 AM #1
Newbie
Joined
Jul 2008
Posts
11
Maclaurin series question
Hi All, help much appreciated!
These are the steps to determine the first two terms in a maclaurin series,
but they are the same so my working must be out? Its spread over 2 posts cos ... | 5 | [
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Eigenvalues of infinite matrices
up vote 6 down vote favorite
2
I am trying to find some literature on infinite matrices because I want to know how to get the eigenvalues of infinite matrices. Seriously, it seems there are very few references available. Can
someone tell me how to determine the spectrum of infinite mat... | 4 | [
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0.04052734375,
... | 36,026 | 36026 | |
Math Help
December 16th 2012, 10:32 PM #1
Junior Member
Joined
Nov 2012
From
New Jersey
Posts
31
Related Rate
A lighthouse is .8 miles away from shore. The light rotates 6 times a minute. How fast in MPH is the spot of light moving along the shore when it is .6 miles away?
So I did the problem... | 5 | [
-0.01300048828125,
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0.01361083984375,
0.0240478515625,
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0.1123046875,
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-0.004852294921875,
0.017333984375,
0.0142822265625,
0.1337890625,
-0.06640625,
... | 36,027 | 36027 | |
A new random number generator!
07-20-2009 #1
Well, I've learned a lot about random numbers this week. Having tried almost a dozen different designs I've come to the conclusion that designing a good generator isn't at all trivial! But it was
fun, anyway.
So here's what I came up with. It's incredibly simpl... | 4 | [
-0.07861328125,
0.06494140625,
-0.036865234375,
-0.0006256103515625,
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-0.034912109375,
-0.0947265625,
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0.06982421875,
-0.07373046875,
-0.0003509521484375,
-0.039306640625,
-0.000431060791... | 36,028 | 36028 | |
Parabola word problem
January 30th 2013, 05:42 PM #1
Newbie
Joined
Jan 2013
From
Idaho
Posts
7
Parabola word problem
Hey guys thanks in advance. The surface of a roadway over a bridge follows the parabolic curve with vertex at the middle of the bridge. The span of the bridge is 400m. The roadway is 1... | 4 | [
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maximal ideal in local subrings
up vote 0 down vote favorite
4
Let $A,B$ be two local rings and put $\mathfrak{m}_A, \mathfrak{m}_B$ their maximal ideals. Now suppose that we have an injection $0 \to A \to B$ and put $\mathfrak{n} := A \cap \mathfrak{m}_B $. It
seems to me quite obvious that it should be $\mathfrak{m}... | 5 | [
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0.12255859375,
0.06835... | 36,030 | 36030 | |
Three Revolvers and One Bullet
May 26th 2010, 10:29 PM #1
Newbie
Joined
May 2010
Posts
4
Three Revolvers and One Bullet
Hi everyone,
I'm new here. My background is in both pure and applied mathematics with a strong emphasis on differential equations, algebra, group theory and number theory however I... | 5 | [
0.01220703125,
0.024169921875,
-0.04345703125,
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0.03369140625,
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0.05078125,
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0.04345703125,
0.04248046875,
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0.05... | 36,031 | 36031 | |
Rates of change horrible question
April 13th 2009, 02:58 AM #1
Junior Member
Joined
Dec 2008
From
England - Warwickshire
Posts
25
Rates of change horrible question
This is another question i came across which i really cant get my head around. Questions like this really really stop me in my tracks i j... | 5 | [
-0.022216796875,
0.064453125,
0.0546875,
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0.0185546875,
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0.07568359375,
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0.0067138671875,
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0.044677734375,
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0.00775146484375,
-0.0087890625,
0.036132812... | 36,032 | 36032 | |
Laplace and Series Question
November 24th 2009, 08:03 PM #1
Newbie
Joined
Oct 2009
Posts
14
Laplace and Series Question
I need help on two webwork questions.
The first is a Laplace
For this is transformed the equation and ended up with a linear differential eqn of the form:
Y'(s) +Y(s... | 5 | [
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0.02490234375,
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-0.0... | 36,033 | 36033 | |
Finding Power Series and Evaluating as a Power Series
April 18th 2008, 10:52 AM
thegame189
Finding Power Series and Evaluating as a Power Series
I'm really bad at this stuff and I can't figure it out.
Find a power series representation for the function and determine the radius of convergence.
1. f(z) =... | 5 | [
-0.04931640625,
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0.055908203125,
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-0.07080078125,
... | 36,034 | 36034 | |
Homework Help
Posted by Alaina on Wednesday, February 10, 2010 at 4:15pm.
If you have only 500 sq. feet of material and have to built a swimming pool, which shape will hold the most water. A cylinder, a cube or a rectangular prisim?
• Geometry - Reiny, Wednesday, February 10, 2010 at 5:27pm
Is the material use... | 4 | [
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0.1875,
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0.02478027343... | 36,035 | 36035 | |
Derivatives of arctan and arcsin
September 7th 2006, 06:30 AM
TreeMoney
Derivatives of arctan and arcsin
I just can't seem to figure out how to do this. I'm given f(x) = arctan(x) + artan(1/x) and I need to find the derivative of this function. To be honest I'm not even positive I know exactly what
arctan me... | 5 | [
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... | 36,036 | 36036 | |
What's the cell structure of K(Z/nZ, 1)? Does it let me sum this divergent series? What about other finite groups?
up vote 12 down vote favorite
6
The Eilenberg-Maclane space $K(\mathbb{Z}/2\mathbb{Z}, 1)$ has a particularly simple cell structure: it has exactly one cell of each dimension. This means that its "Euler... | 4 | [
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Calculating a curvature tensor by polarization
up vote 7 down vote favorite
2
I'm reading some articles by Siu and Nannicini on the Weil-Petersson metric associated to families of compact Kahler-Einstein manifolds. In each article Siu and Nannicini construct a Weil-Petersson
metric $h$, show that it is Kahler, and obt... | 4 | [
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-0.09326171875,
0.04... | 36,038 | 36038 | |
Derivative of log
How do you get x? I got to the point where (10^xlogx-10x)/logxln10x=0
Important question- is "log x" the common logarithm (base 10) or the natural logarithm (base e)? Normally, for a calculus problem I would assume natural logarithm, but the presence of "10^x" makes me
ask. I presume you know that th... | 5 | [
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0.125,
0.005584716796875,
0.0147705078125,
-0.08251953125,
0.0573730468... | 36,039 | 36039 | |
Noncommutative Localization of a Ring : Complete Construction
up vote 4 down vote favorite
3
I've been looking for the following construction in the literature, but I've only been able to find (very) partial proofs or proofs of special cases.
Let $R$ be a non-commutative ring and $S$ a multiplicative subset (i.e., $1... | 4 | [
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0.0004558563232421875,
0.0859375,... | 36,040 | 36040 | |
Random Functions
May 14th 2009, 05:36 PM #1
Banned
Joined
Jan 2009
Posts
27
Random Functions
At a heat-treating company, iron castings and steel forgings are heat-treated to achieve desired mechanical properties and machinability. One steel forging is annealed to soften the part for each
machining. T... | 5 | [
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0.017333984375,
... | 36,041 | 36041 | |
Solving a system of differential equations using central difference approximations
July 28th 2011, 08:23 AM #1
Newbie
Joined
Jul 2011
Posts
4
Solving a system of differential equations using central difference approximations
Good day,
I am having a bit a trouble solving this system:
$y^{'} = v$... | 4 | [
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0.045654296875,
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0.01519775390625,
0.0... | 36,042 | 36042 | |
Does the following categorial sum preserve weak equivalences?
up vote 1 down vote favorite
In Dwyer and Kan's 1980 paper on "Simplicial Localizations of Categories", they prove the following result for binary categorial sums. For a set $O$, let $O$-${\mathsf{Cat}}$ be the following
category. An object of $O$-${\mathsf... | 4 | [
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0.0966796875,
0.08984375,
0.06... | 36,043 | 36043 | |
Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group?
up vote 14 down vote favorite
4
This question was originally posted on math.SE by myself nearly a year ago. I've been thinking again about the problem after it recently received a little attention, but little progress was made in
find... | 4 | [
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0.00175... | 36,044 | 36044 | |
Help with the bounds on this double integral
August 17th 2008, 06:32 PM
padsinseven
Help with the bounds on this double integral
double integral (D) of y^3(x^2+y^2)^(-3/2) DXDY where (D) is the region determined by the ocnditions .5 less than or equal to y less than or equal to 1 and x^2+y^2 less than or equal t... | 5 | [
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-0.0004520416259765625,
0.0152587890625,
0.01397705078125,
0.0096435546875,
-0.1... | 36,045 | 36045 | |
Singularity of sparse random matrices
up vote 8 down vote favorite
2
The following topic came up in conversation with my office-mate Lionel: Let $p$ be a fixed prime, $c$ a fixed positive real parameter and $n$ a large number. Consider a random $(0,1)$ matrix with
entries in $Z/p$, where the probability of a $0$ is $1... | 4 | [
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0.0439453125,
-0.07177734375,
0... | 36,046 | 36046 | |
Area under curve, using parameters.
June 3rd 2010, 10:23 AM #1
Super Member
Joined
Sep 2008
Posts
607
Area under curve, using parameters.
The diagram shows the curve defined by parametric equations $x = t^{2}$ , $y = t^{3}$
for values of t between -3 and 3 find the shaded area.
I have drawn the... | 4 | [
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0.0283203125,
0.03369140625,
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-0.... | 36,047 | 36047 | |
analysis - 2
How does the comparison test incorporate the cauchy criterion for convergence?
Let $T_n=\sum_{n=1}^{N} c_n$ So the comparison test says that if $|a_n|\leqslant c_n~{\color{red}\star}$ for all $N\leqslant n$ with $N\in\mathbb{N}$ and $\sum c_n$ converges, then so does $\sum a_n$
Proof: $\sum c_n$ converges... | 4 | [
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0.107421875,
0.0058898925781... | 36,048 | 36048 | |
Symmetric Proof that Product is Well-Founded
up vote 6 down vote favorite
1
This is a fairly minor, technical question, but I'll toss it out in case someone has a good idea on it.
Suppose $(X,<_X)$ and $(Y,<_Y)$ are well-founded orderings (not necessarily linearly ordered, though I don't think it matters). Consider t... | 4 | [
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0.00848... | 36,049 | 36049 | |
cross multiply
Hello, Belanova! You have the equations and you have the directions. Exactly where is your difficulty? $\frac{x-1}{3} \;=\;\frac{x+5}{x-1}$ We have: . $\frac{x-1}{3}\;=\;\frac{x+5}{x-1}$
Cross-multiply: . $\frac{x-1}{3}\!\!\begin{array}{cc} _{warrow} \\ ^{earrow}\end{array}\!\!\!\!\begin{array}{c} _{earr... | 4 | [
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0.00115203857421875,
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0.014404296875,
-0.0634765625,
-0.006... | 36,050 | 36050 | |
Mathematics Project on Pythagoras Theorem and its Extension
Pythagoras Theorem and its Extension
Objective
To understand the Pythagoras theorem using geometrical representation by using areas of squares on each side of a right triangle, and extending it to three dimensional objects using volumes.
Pythagoras Theorem... | 4 | [
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-0.0230712890625,
-0.0854... | 36,051 | 36051 | |
Urgent Homework Help: Confidence Interval
February 13th 2008, 11:59 AM #1
Newbie
Joined
Feb 2008
Posts
4
Urgent Homework Help: Confidence Interval
Can someone help me figure out this problem Please?
A random sample of 10 miuniature Toootsie Rolls wa taken from a bag. Each piece was weighed on a very... | 4 | [
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0.08349609375,
-0.00... | 36,052 | 36052 | |
How many different ways can you arrange 1 million beans in 3 different bowls
June 8th 2010, 06:12 PM #1
Newbie
Joined
Jun 2010
From
Washington, USA
Posts
2
How many different ways can you arrange 1 million beans in 3 different bowls
How many different ways can you arrange 1 million beans in 3 differe... | 4 | [
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0.056884765625,
... | 36,053 | 36053 | |
Ordinals that are not sets
up vote 7 down vote favorite
3
The class of all ordinal numbers $\mathbf{Ord}$, aside being a proper class, can be thought of an ordinal number (of course it contains all ordinal numbers that are sets, not itself). Then one could
consider $\mathbf{Ord}+1$, $\mathbf{Ord}+\mathbf{Ord}$, $\math... | 4 | [
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-0.0152587890625,
-0.03173828125,
-0.00970458984375,
0.00653076171875... | 36,054 | 36054 | |
Schur complement and "negative definite"!
up vote 4 down vote favorite
1
Hi I have the following problem. Let the symmetric matrix M of the form: \begin{bmatrix} A & B \newline B^T & C \newline \end{bmatrix}
We have that $C$ is positive semidefinite. Is there a way to transform the constraint $A-BC^{-1}B^T \leq 0$ to... | 5 | [
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0.15625,
0.150390625,
-0.0045471... | 36,055 | 36055 | |
Age calculation
April 8th 2008, 02:02 PM #1
Newbie
Joined
Apr 2008
Posts
3
Age calculation
I need help on this word problem: Thanks in advance for your help, please show calculation.
Jenny lived half her life in california and one third of her life in new york. She then moved to Florida. If she has ... | 4 | [
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0.0201416015625,
0.033203125,
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0.0400390625,
-0.06689453125,
0.078125,
-0.1010... | 36,056 | 36056 | |
Homework Help
Posted by Anonymous on Sunday, October 7, 2012 at 9:47am.
. Find the mean and standard deviation of the following probability distribution:
x 1 2 3
P(x) 0.4 0.25 0.35
Please show all of your work.
• stats - MathGuru, Monday, October 8, 2012 at 5:49pm
To find the mean:
SUM [x * P(x)]
M... | 4 | [
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0.068359375,
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0.0086669921875,
-0.00689697265625,
0.007354736328... | 36,057 | 36057 | |
ea
Math::Trig - trigonometric functions
use Math::Trig;
$x = tan(0.9);
$y = acos(3.7);
$z = asin(2.4);
$halfpi = pi/2;
$rad = deg2rad(120);
# Import constants pi2, pip2, pip4 (2*pi, pi/2, pi/4).
use Math::Trig ':pi';
# Import the conversions between cartesian/spherical/cylindri... | 5 | [
-0.0289306640625,
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0.036376953125,
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... | 36,058 | 36058 | |
Help with how much to allocate to varying probabilities to get specific probability?
January 15th 2012, 06:30 AM
dmbeas12
Help with how much to allocate to varying probabilities to get specific probability?
Problem:
I must spend $1000. I have 3 strategies that have different Probabilities Of Success (POS).
... | 4 | [
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... | 36,059 | 36059 | |
Weekly interest rate applied to four-weekly deposits
August 27th 2011, 12:49 AM #1
Member
Joined
Jan 2009
From
Punjab, Pakistan
Posts
88
Weekly interest rate applied to four-weekly deposits
Here is what I have to do, given a weekly interest rate of 2%
Initial deposit is $1000
Four-weekly sta... | 5 | [
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0.1201171875,
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-0.1416015625,... | 36,060 | 36060 | |
[SOLVED] determining cubic rule
May 26th 2006, 08:28 PM #1
icarus
Guest
[SOLVED] determining cubic rule
Determine the family of cubics with
the following characteristics: pass through the point (1,1), have
a gradient of 2 when x = 1, and have 1 stationary point?
icarus
Determine the family of cub... | 4 | [
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0.0478515625,
0.036376953125,
-0.05224609375,
-0.0121459... | 36,061 | 36061 | |
Some weird "system" of inequalities in nonnegative integers.
up vote 5 down vote favorite
1
Suppose I have a bunch of nonnegative integers $(a_{ijkl})_{1 \leq i \leq j \leq k \leq l \leq 17}$ such that for all 17-tuples nonnegative integers $w_t$ (for $1 \leq t \leq 17$) we have that $$\
min_{1\leq i\leq j\leq k \leq ... | 5 | [
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0.0234375,
-0.064453125,
0.1220703125,
0.0908203125,
-0.0234375,
-0... | 36,062 | 36062 | |
"Arithmetic genus" of a plane curve singularity.
up vote 5 down vote favorite
3
I believe that the following questions are very basic, but I don't know how to get a reference.
Consider a curve in the plane $C\in \mathbb C^2$ with a singularity at $0$ and suppose it is unibranch at zero (i.e. analytically irreducible)... | 4 | [
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... | 36,063 | 36063 | |
Sorting With Restrictions
March 21st 2010, 08:51 AM #1
Junior Member
Joined
May 2009
Posts
42
Sorting With Restrictions
How many ways can we put 'z' different objects into 4 boxes such that at least two boxes remain empty?
Thanks!
The four boxes in this question are different.
However, I w... | 4 | [
0.0625,
0.0419921875,
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0.0634765625,
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0.03369140625,
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0.0211181640625,
0.0517578125,
0.005279541015625,
-0.031494140625,
0.0196533203125,
-0.02392578125,
-0.025... | 36,064 | 36064 | |
Direct construction of cocontinuous functors on Mod(A)
up vote 1 down vote favorite
2
The following theorem is well-known:
Let $A$ be a ring. Let $C$ be a cocomplete $Ab$-category and $X$ an $A$-module-object in $C$, i.e. an object endowed with a ring homomorphism $\sigma : A \to \text{End}(X)$. Then this yields a
co... | 4 | [
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0.041015625,
0... | 36,065 | 36065 | |
Smooth variety contained in another smooth variety
up vote 10 down vote favorite
1
I apologize if this is a trivial question. If $X$ is a smooth irreducible codimension two subvariety of projective space $\mathbb P^n$, then does there always exist a smooth irreducible codimension
one subvariety $Y \subset \mathbb P^n$... | 5 | [
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... | 36,066 | 36066 | |
Sum of Consecutive Cubes
Associated Topics || Dr. Math Home || Search Dr. Math
Sum of Consecutive Cubes
Date: 05/... | 4 | [
0.0264892578125,
0.076171875,
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... | 36,067 | 36067 | |
Non Linear homogenous differential equation
May 28th 2008, 04:06 AM #1
Member
Joined
Sep 2007
Posts
76
Non Linear homogenous differential equation
Just need a bit of help finishing this one, not sure if I'm going about this correctly...
$<br /> \begin{gathered}<br /> \frac{{dy}}<br /> {{dx}} = \frac... | 5 | [
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0.034423828125,
-0.0673828125,
0.014831... | 36,068 | 36068 | |
Does "finitely presented" mean "always finitely presented"? (Answered: Yes!)
up vote 28 down vote favorite
14
Precisely, if an R-module M has a finite presentation, and R^k → M is some unrelated surjection (k finite), is the kernel necessarily also finitely generated?
Basically I want to believe I can choose gen... | 5 | [
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0.016357421875,
0.048583984375,... | 36,069 | 36069 | |
Math Help
September 17th 2008, 09:10 PM #1
Junior Member
Joined
Jun 2008
Posts
53
C++ help?
I need to write a program that sums, term by term, the following poylnomial.
p(x) = 1 + x + x^2 + x^3 + x^4 + ... + x^38
when x = 0.5
Here's the code I did, but the answer is completely wrong, lol:... | 5 | [
-0.043212890625,
0.0771484375,
0.01177978515625,
-0.0247802734375,
-0.1083984375,
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0.0270... | 36,070 | 36070 | |
Probability/Combinatorics Q
April 10th 2010, 07:11 AM
Chloe1
Probability/Combinatorics Q
I have the formula for the probability of chance agreement where:
k people are giving ratings
n is the number of possible ratings to choose from
This is the probability for chance agreement where the ratings are... | 4 | [
-0.028564453125,
-0.03515625,
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0.019775390625,
-0.0913085937... | 36,071 | 36071 | |
How to prove that the A* Algorithm is admissible (by induction)?
up vote 0 down vote favorite
I've been struggling with this question for the past hour but I can't seem to get it.
We begin with the start node S. But what should be the induction hypothesis?
EDIT: My bad, I was referring to the Manhattan Distance heur... | 4 | [
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0.05... | 36,072 | 36072 | |
Plessner's Theorem (1929)
up vote 0 down vote favorite
1
Does anyone link me to a reference that proves the following theorem for Plessner:
Let $\mu$ be a bounded complex Borel measure on $\mathbb{R}$ $\mu$ is absolutely continuous to the Lebesgue measure $\Longleftrightarrow$ lim $\mu (E + t)$ = $\mu(E)$ for every B... | 4 | [
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0.02001953125,
... | 36,073 | 36073 | |
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Topic: Re: Four-Color Problem--computer-based proofs
Repl... | 4 | [
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0.03466796875,
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0.023681640625,
-0.01507568359375,
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0.0247802734375,
0.06396484375,
0.09228515625,
-0.006988525390625,
-0.008056640625,
-0.06982421875,
-0.0013580322265625,
0.03173828125,
0.0218505859375,
-0.00274658203125,
-0.09960937... | 36,074 | 36074 | |
Show that phi^(-1) is an isomorphism
October 10th 2011, 04:30 PM #1
Member
Joined
Dec 2010
Posts
92
Show that phi^(-1) is an isomorphism
Problem: Let $\phi:G \rightarrow G'$ be an isomorphism of groups. Show that $\phi^{-1}: G' \rightarrow G$ is an isomorphism.
*********************
I said:
... | 5 | [
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-0.0128173828125,
-0.09130859375,
-0.001983642578125,
0.07763671875,
... | 36,075 | 36075 | |
Properties of orthogonality-preserving c.p. maps between $C^*$-algebras
up vote 10 down vote favorite
3
Suppose that $A,C$ are $C^*$-algebras and $\phi:A \to C$ is a completely positive, orthogonality-preserving linear map. (Orthogonality preserving means: if $a,b \in A$ satisfy $ab=0$ then $\phi(a)\
phi(b) = 0$.) The... | 4 | [
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... | 36,076 | 36076 | |
Why this space is a Banach space?
August 5th 2011, 02:17 AM
mghasemi62
Why this space is a Banach space?
Hi. I have a space defined as follows:
Let D be a bounded simply connected domain in C and let HC(D) be the space of all analytic functions on D which are continuous on Closure(D). How can I show that HC(... | 5 | [
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0.01806640625,
-0.0539550... | 36,077 | 36077 | |
Please help me with this..(right triangle{geometry})
November 15th 2007, 01:13 AM
sarayork
Please help me with this..(right triangle{geometry})
1. A rectangle has a diagonal of 2 and length of √3. Find its width.
2. Find the length of a side of a square with a diagonal of lenth 12.
3. The perimeter of ... | 4 | [
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0.03125,
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0.0247802734375,
-0.0264892578125,
0.02136... | 36,078 | 36078 | |
Integrating by Polar Substitution?
January 13th 2009, 06:19 PM #1
Newbie
Joined
Apr 2007
Posts
12
Integrating by Polar Substitution?
Hey,
How would you solve the following integral:
$<br /> \int_{-\infty}^{\infty} e^{-x^2/2}dx<br />$
I've been trying to use a substitution, but I kind of fo... | 5 | [
-0.03076171875,
0.02783203125,
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0.09228515625,
-0.05102... | 36,079 | 36079 | |
Calculus problem...
March 12th 2010, 03:35 PM #1
Newbie
Joined
Mar 2010
From
Melbourne
Posts
20
Calculus problem...
How would you show that the functions
$<br /> F(x)=\frac{2}{\pi}\arctan\Big(\frac{x}{a}\Big), x \geq 0<br />$
with $a>0$
and
$G(x)=1-\exp(-\lambda x),x\geq0$
wi... | 4 | [
-0.0150146484375,
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0.049560546875,
0.01068115234375,
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0.0693359375,
-0.022216796875,
0.02001953125,
-0.16015... | 36,080 | 36080 | |
Pipelines, Piping and Fluid Mechanics engineering FAQ
Forum Search FAQs Links Jobs Whitepapers MVPs
... | 5 | [
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-0.050537109375,
-0.00747... | 36,081 | 36081 | |
Tangent lines to parametrized curves
For a curve parametrized by $\dllp(t)$, the derivative $\dllp'(t)$ is a vector that is tangent to the curve. We can use this fact to derive an equation for a line tangent to the curve.
Fix a time $t_0$. The line through point $\dllp(t_0)$ in the direction parallel to the tangent ve... | 4 | [
-0.0791015625,
-0.02001953125,
0.01318359375,
-0.01531982421875,
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0.10205078125,
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0.07666015625,
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0.07958984375,
0.10107421875,
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0.007080078125,
-0.0186767578125,
0.08740234375,
-0.1357421875,
0.029... | 36,082 | 36082 | |
Integration Problem
I am stuck! I've worked and reworked the following integral and I'm off by a factor of 2 (or 1/2) and can't seem to figure out why. Here is my work:
$\int\theta\sin\theta\cos\theta d\theta = \frac{1}{2}\int(\theta)(2sin\theta\cos\theta) d\theta = \frac{1}{2}\int\theta\sin2\theta d\theta$ [A... | 5 | [
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0.0303955078125,... | 36,083 | 36083 | |
algebraic technique
March 24th 2006, 11:29 PM #1
Newbie
Joined
Feb 2006
Posts
14
algebraic technique
d The equation for A can be re-expressed in the form A = b × e^−kt, where b and k are constants and e is the natural base.
i Write down the value of b.
ii Find the value of k, correct to 4 decimal... | 4 | [
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0.0588378... | 36,084 | 36084 | |
Logs Problem
December 10th 2007, 12:07 PM
richard_c
Logs Problem
[FONT='Calibri','sans-serif']can anyone help me with the following:[/FONT]
[FONT='Calibri','sans-serif']i have an equation - as attachment[/FONT]
i need to find the ratio n/m
December 10th 2007, 12:28 PM
wingless
Quote:
I see ... | 4 | [
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Hilbert Space
Date: 02/04/98 at 00:24:59
From: Renee Anderson
Subject: Hilbert Space
I am an eleventh grade high school student, and I'm doing reseach on
quantum computations. Could you please tell me what Hilbert Space is?
Date: 02/04/98 at 16:21:48
From: Doctor Rob
Subject: Re: Hilbert Space
See the following U... | 4 | [
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-0.0... | 36,086 | 36086 | |
Partial isometries making families of linearly independent vectors orthogonal
up vote 2 down vote favorite
Suppose I have a family of $n$ linearly-independent elements $v_i$ of the Hilbert space $\mathbb{C}^m$, which are not necessarily orthogonal. Can I always find a partial isometry $f: \mathbb{C} ^m \
to \mathbb{C}... | 5 | [
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0.14... | 36,087 | 36087 | |
Are coordinate functions on topological vector spaces always continuous?
up vote 1 down vote favorite
2
Let $V$ be a Hausdorff locally convex topological vector space over the field $\mathbb{K}$.
Let $B$ be a subset of $V$ such that
$\;$ for all functions $c : B\to \mathbb{K}$, if $\displaystyle\sum_{b\in B} \; c(b)\... | 4 | [
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0.010803222... | 36,088 | 36088 | |
Analytic maps in homotopy classes
up vote 5 down vote favorite
1
Let $\mathcal M$ be a compact connected real-analytic manifold. It is well known that every continuous map $f\colon\mathcal M\to\mathbb S^1$ is homotopic to a smooth map. My question is the
following. Are there any sufficient conditions on $\mathcal M$ t... | 5 | [
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Topic: 2^57,885,161 -1
Replies: 10 Last Post: Feb 9, 2013... | 4 | [
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Elementary examples of the Weil conjectures
up vote 25 down vote favorite
11
I'm looking for examples of the Weil conjectures---specifically rationality of the zeta function---that can be appreciated with minimal background in algebraic geometry. Are there varieties for which
one can easily calculate the numbers of po... | 4 | [
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-0.0629882812... | 36,091 | 36091 | |
Fence Max Area Problem -- am I right??
December 3rd 2009, 10:45 PM
golfman44
Fence Max Area Problem -- am I right??
Q: a farmer has 4800m of fencing with which to build a rectangular pen. The pen is to be divided into 3 euqal parts by fences parallel to the sides of the pen. The farmer wishes to maximize the
... | 4 | [
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Posts from August 2011 on Annoying Precision
Constructing Poisson algebras
Posted in commutative algebra on August 27, 2011 | Leave a Comment »
(Commutative) Poisson algebras are clearly very interesting, so it would be nice to have ways of constructing examples. We know that $k[x, p]$ is a Poisson algebra with brack... | 4 | [
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-0... | 36,093 | 36093 | |
lim f(x)*lim g(x)=lim[f(x)*g(x)]
Let $F= \lim_{x\rightarrow \infty} f(x)$ and $G= \lim_{x\rightarrow \infty} g(x)$ Now look at |f(x)g(x)- FG|= |f(x)g(x)- Fg(x)+ FG| $\le$|f(x)g(x)- Fg(x)|+ |Fg(x)- FG|. |f(x)g(x)- F(g)|= |g(x)||f(x)
-F| and |Fg(x)- FG|= |F||g(x)- G|. Since $G= \lim_{x\rightarrow \infty}$, for any $u> 0$... | 5 | [
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Finite unramified analytic coverings vs finite etale coverings
up vote 6 down vote favorite
Let $X$ be a smooth quasi-projective variety (so irreducible) over $\mathbf{C}$. We may think of $X$ as a complex manifold which we denote by $X^{an}$. Of course the topology on $X^{an}$ is finer
than the Zarisiki topology on $... | 4 | [
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College Algebra problems.
July 17th 2008, 04:44 PM #1
Newbie
Joined
Jul 2008
Posts
4
College Algebra problems.
I have a test tomorrow and I was given the study sheet today. These are summer classes, so things are a bit rushed.
My questions involve solving for real and or imaginary solutions to a qua... | 4 | [
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When is the tensor product of two fields a field?
up vote 57 down vote favorite
33
Consider two extension fields $K/k, L/k$ of a field $k$.
A frequent question is whether the tensor product ring $K\otimes_k L$ is a field. The answer is "no" and this answer is often justified by some particular case of the following re... | 5 | [
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Most squares in the first half-interval
up vote 20 down vote favorite
9
It is well known that if $p$ is an odd prime, exactly one half of the numbers $1, \dots, p-1$ are squares in $\mathbb{F}_p$. What is less obvious is that among these $(p-1)/2$ squares, at least one
half lie in the interval $[1, (p-1)/2]$.
I remem... | 5 | [
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... | 36,098 | 36098 | |
Real rate of return
February 18th 2007, 07:20 AM
reneebu
Real rate of return
Today you purchased a bond for 98.7. bond matures in 5 yrs, coupon rate 6.5%, paying interest semiannually. If you hold the bond to maturity what is the real rate of return if inflation remains
constant @ 2%"
I started by estim... | 4 | [
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... | 36,099 | 36099 |