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|---|---|---|---|---|---|
Factoring by Grouping
Date: 05/27/98 at 18:26:44
From: Ashley Bullard
Subject: Algebra 1(factoring by grouping)
How do you factor 2r^2 + rt - 6t to the second power?
So far I have multiplied the ends of the equation (2r^2 and -6t^2).
What do I do now?
Date: 06/01/98 at 13:12:15
From: Doctor Peterson
Subject: Re: ... | 4 | [
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0.0500... | 36,300 | 36300 | |
Surface equivalent of catenary curve
up vote 10 down vote favorite
2
A catenary curve is the shape taken by an idealized hanging chain or rope under the influence of gravity. It has the equation $y= a \cosh (x/a)$. My question is:
What is the shape taken by an idealized, thin two-dimensional sheet, pinned on a pl... | 4 | [
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-0.083984375... | 36,301 | 36301 | |
Consumers' Surplus for Calculus
December 8th 2012, 12:18 PM
AntoninaFinn
Consumers' Surplus for Calculus
The demand function for a certain make of replacement cartridges for a water purifier is given by:
p=-0.01x^2-0.1x+6
where p is the unit price in dollars and x is the quantity demanded each week, meas... | 5 | [
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Math Forum Discussions
Re: The Diagonal Argument
Posted: Dec 28, 2012 2:09 AM
On Dec 27, 9:35Β pm, Virgil <vir...@ligriv.com> wrote:
> In article
> <c3b9462b-6826-46fd-bfe3-39c2d95ab...@pe9g2000pbc.googlegroups.com>,
> Β Graham Cooper <grahamcoop...@gmail.com> wrote:
>
> > one must consider the audience Virgil!
>
> > SW... | 4 | [
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Finding Cartesian form from argument and modulus
July 31st 2010, 01:58 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Finding Cartesian form from argument and modulus
The question:
Find the "a + ib" form of the complex numbers whose modulus and principle argument are:
|z| = 3, arg(z) = Pi/8
... | 4 | [
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0.02392578125,
-0.02... | 36,304 | 36304 | |
Generic Stabilizers in a Nilpotent Lie Algebra
up vote 1 down vote favorite
Let $\frak{g}$ be a finite-dimensional nilpotent complex Lie algebra, and consider the adjoint Lie algebra representation of $\frak{g}$. What is known about the Lie-algebraic structure of the
stabilizer of a generic $\xi\in\frak{g}$? Furthermo... | 5 | [
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0.0532226... | 36,305 | 36305 | |
Integration by substitution, what am I doing wrong
May 31st 2010, 12:13 AM #1
Super Member
Joined
Sep 2008
Posts
607
Integration by substitution, what am I doing wrong
Using $u = \sqrt{2x+1}$, show that
$\int x(\sqrt{2x+1} dx = \frac{1}{15}(2x+1)^{\frac{3}{2}} (3x-1) + c$
I have done this so ma... | 5 | [
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U substitution
June 8th 2010, 10:32 AM #1
Newbie
Joined
Mar 2010
Posts
16
U substitution
Still confused with u substitution. Can someone show me how they would solve this by U substitution?
the integral from .5 to 1 of ln(2x+3) over 2x+3 dx.
u= ln(2x+3)
du=2/2x+3 dx
Where do i go from ... | 5 | [
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Irreducible Polynomials
Date: 06/06/2001 at 08:44:02
From: McLoone
Subject: Finite Field Mathematics
If provided with an irreducible polynomial, how can you prove that it
is indeed irreducible?
For E.g. : the polynomial x^8 + x^4 + x^3 + x + 1 (Hex: x'11B')
I want to show that this polynomial is irreducible over G... | 5 | [
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0.018554687... | 36,308 | 36308 | |
DSP Lecture
Digital Signal Processing
Spring 2012
Lecture 2: Discrete-Time Signals & Systems
Instructor:
Engr. Asif Iqbal
Department of Electrical Engineering
NUCES-FAST, Peshawar
... | 4 | [
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Help with a problem
March 12th 2008, 05:03 AM #1
Junior Member
Joined
Feb 2008
Posts
49
One treatment of Roche's Tamiflu is usually 10 pills taken over 5 days. Tamiflu production was 5.5 million treatments in 2002 and has approximately doubled each year since then.
a. Let $n=g(t)$ be the number of tr... | 4 | [
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... | 36,310 | 36310 | |
Uniform Continuity of $\sqrt{|x|}$ on $\mathbb{R}$
February 19th 2010, 12:58 AM #1
Dear Friends,
I need help with the following $\varepsilon-\delta$ proof for uniform continuity.
Claim. Prove or disprove that the function $\sqrt{|x|}$ is uniformly continuous on $\mathbb{R}$.
Thanks.
bkarpuz
... | 5 | [
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-... | 36,311 | 36311 | |
Imagenary cube root Problems
May 3rd 2009, 10:11 PM
zorro
Imagenary cube root Problems
If $w$ is an imagenary cube root of unity , then find the value of
$<br /> \begin{vmatrix}<br /> 1+w & w^2 & -w \\<br /> 1+w^2 & w & -w^2 \\<br /> w^2+w & w & -w^2<br /> \end{vmatrix}<br />$
May 4th 2009, 01:42 AM
Gamma... | 5 | [
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Club Conspiracy Forums - View Single Post - What is TIME exactly?
Re: What is TIME exactly?
βEinstein's Relativity Error
βThe physical sciences in 1873 seemed to once again take on an air of stability as James Clerk Maxwell published his, 'Treatise on Electricity and Magnetism.'
In this paper, he discussed electricit... | 4 | [
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math question 3- very urgent !
Posted by Carla on Sunday, December 19, 2010 at 11:15pm.
Find x* on [0, 2] such that f(x*) equals the average value of f(x) = 5x + 9 over [0, 2].
β’ math question 3- very urgent ! - drwls, Monday, December 20, 2010 at 1:47am
Tha average value of f is the integral of the function (... | 4 | [
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Applications of Koszul's formula other than the fundamental lemma of Riemannian geometry
up vote 5 down vote favorite
3
I'm wondering what else one can do with Koszul's formula
$$2\langle\nabla_XA,B\rangle = X\langle A,B\rangle-B\langle X,A\rangle + A\langle X,B\rangle - \langle A,[X,B]\rangle + \langle[B,X],A\rangle... | 4 | [
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0.080078... | 36,315 | 36315 | |
Motion with Uniform Acceleration
October 4th 2009, 02:27 AM #1
Newbie
Joined
Sep 2009
From
North West England
Posts
24
Motion with Uniform Acceleration
Though id post this one here becuase its partly mechanics so physcis based etc. This thing is im working with SuVat as in S=displacement u=uniform ac... | 4 | [
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0.09375,
-0.04... | 36,316 | 36316 | |
Proof union disjoint events
October 12th 2008, 11:55 AM #1
Newbie
Joined
Oct 2008
Posts
12
Proof union disjoint events
Proofs scare the living daylights out of me! I could really use some help with this:
For some experiment, suppose B and C are events. The event, D, that "exactly one of the events B... | 4 | [
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0.0500488... | 36,317 | 36317 | |
Digit Reversal Trick Explained
Date: 03/23/2001 at 15:40:50
From: I. Kouraklis
Subject: Algebra trick/puzzle
Take a 3-digit number (e.g. 875) and subtract its reverse (578). Then,
take the result (297) and add its reverse (792). The answer is always
1089, no matter what the initial numbers are. I would like to know ... | 4 | [
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Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Math Forum Β» Discussions Β» Policy and News Β» geometry.ann... | 4 | [
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... | 36,319 | 36319 | |
Minimal generating sets of monoids acting on finite vector spaces.
up vote 1 down vote favorite
Let $V$ be a finite dimensional vector space over $\mathbb{Z}_2$ with a linear map $f_i : V \to V$ for each $i$ in some finite index set $I$.
Then one can always find some subset $G \subseteq V$ of minimal cardinality such... | 4 | [
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0.01770019... | 36,320 | 36320 | |
Covariance and Correlation(continuous random variables)
October 20th 2009, 10:47 AM #1
Junior Member
Joined
Sep 2008
Posts
58
Covariance and Correlation(continuous random variables)
Determine the value of c and the covariance and correlation for the joint probability density function f(x, y) = c for 0< x... | 5 | [
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-0.115722... | 36,321 | 36321 | |
Differentiable Func.
December 1st 2007, 03:52 PM #1
Member
Joined
Sep 2006
Posts
221
Differentiable Func.
Given that $f$ is function that's differentiable on the interval $[a,b]$ where $f'(x) eq 1\,\,\, \forall x \in [a,b]$.
1.) Prove $f$ has at most 1 fixed point on the interval $[a,b]$. (ie., show... | 4 | [
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Symmetries of probability distributions
up vote 6 down vote favorite
3
When talking about a single random variable, knowing only its distribution, the construction of a probability space is quite easy. Namely, let $(X,\mathscr A)$ be a measurable space and let $\mathsf
Q$ be some probability measure over this space wh... | 4 | [
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Update
Next month I start at Google in Zurich. Been busy with trying to finish my phd, though it seems I will still have some writing left to do after I start my new job. Anyways, Iβm definitely excited
about this opportunity.
The fact Iβve been busy explains the silence on my blog. But here, in the spirit of A Faste... | 4 | [
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... | 36,324 | 36324 | |
Limits of Difference Equations
Date: 05/14/2000 at 13:13:53
From: Christopher Moh
Subject: Difference Equations
Hello,
I would like to know how to find the limit of F and R in the following
system of equations. This system of equations is similar to that of
the Lotka-Volterra ecological model.
Assume F(x) and R(x)... | 5 | [
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Is the ultraproduct concept fundamentally category-theoretic?
up vote 31 down vote favorite
15
Once again, I would like to take advantage of the large number of knowledgable category theorists on this site for a question I have about category-theoretic aspects of a fundamental logic concept.
My question is whether th... | 4 | [
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... | 36,326 | 36326 | |
vectors, find v, a, s
September 8th 2009, 08:03 PM #1
Junior Member
Joined
Oct 2008
Posts
29
vectors, find v, a, s
If both u X v = 0 and u.v = 0, what can you conclude about u or v
i don't know what theyre getting at
Find velocity v, acceleration a, and speed s at the indicated time t = t1 for... | 5 | [
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-0.07470703125,
0.004791259765625,
0.06640625,
-0.04052734375,
0.043701171875,
0.023681640625,
-0.0380859375,
-0.0439453125,
-0.03662109375,
0.0263671... | 36,327 | 36327 | |
sum of fractional parts (nx_i),x_i are irrational
up vote 3 down vote favorite
Let $x_1,x_2,...,x_k$ be irrational number,is it always true that: $\liminf_{n\rightarrow\infty} \sum_{i=1}^k (nx_i)=0$ (where $(x)$ denotes the fractional part of $x$)
If not,what are the necessary and sufficient conditions that {$x_i$} m... | 5 | [
-0.06103515625,
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0.03125,
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0.07958984375,
-0.006378173828125,
-0.0238037109375,
-0.036376953125,
0.0498046875,
-0.00817871093... | 36,328 | 36328 | |
Symmetric 6 sided dice, exactly 5 sixes; chance of six > 0.95
October 7th 2011, 01:49 AM
magicka
Symmetric 6 sided dice, exactly 5 sixes; chance of six > 0.95
Hello, I'm having problems with probability and I hope You can help me! (If this is more suitable for uni level, please move it there)
My problem is ... | 5 | [
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-0.02990... | 36,329 | 36329 | |
Probabilty Confusion
April 29th 2008, 01:52 AM #1
Member
Joined
Jan 2008
Posts
130
Probabilty Confusion
A red and a black die labelled 1 - 6 are thrown simultaneously, find the probability of:
A number less than 5 on the red die but a total of 10 altogether.
I know the answer is 1/36... however... | 4 | [
-0.006988525390625,
-0.05322265625,
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0.024169921875,
0.0301513671875,
-0.0693359375,
0.02734375,
0.006683349609375,
-0.03637695312... | 36,330 | 36330 | |
Trig Double Angle Identities
February 27th 2009, 07:32 AM
Beard
Trig Double Angle Identities
Stuck on this and donβt have a clue where I am going wrong
It is given that $3\cos\theta - 2\sin\theta = R\cos(\theta + \alpha), \ where\ R>0\ and\ 0^{\circ} < \alpha < 90^{\circ}$
A) Find the value of R
B... | 4 | [
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0.10791015625,
0.08544921875,
0.005706787109375,
-0.02685546875,
-0.00... | 36,331 | 36331 | |
Calculus 4: equation of a plane
September 13th 2008, 07:55 PM
Chocolatelover2
Calculus 4: equation of a plane
Hello everyone,
Could someone please help me on this problem?
A plane has equation z=5x-2y+7
a. Find the value of W making the vector Wi+j+.5k normal to the plane
b. Find a value of a... | 4 | [
-0.10791015625,
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0.0240478515625,
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0.01019287109375,
0.046875,
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0.1015625,
-0.119140625,
-0... | 36,332 | 36332 | |
Expected Hitting Time for Simple Random Walk from origin to point (x,y) in 2D-Integer-Grid
up vote 2 down vote favorite
Consider a simple random walk on the lattice $\mathbb Z^2$ starting at the origin $(0,0)$ where in each step, one of the four adjacent vertices in chosen uniformly at random, i.e. with probability $1... | 5 | [
0.038330078125,
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0.05737... | 36,333 | 36333 | |
Asymptotic behavior of an expression
October 25th 2010, 08:38 AM #1
Member
Joined
Jan 2010
Posts
133
Asymptotic behavior of an expression
Hello everyone!
I've been working on analyzing an algorithm and found that it requires performing $N_1=\sum_{i=1}^n(i+1)!$
Now this can also be expressed as $... | 4 | [
-0.048828125,
-0.09326171875,
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-0.01483154296875,
0.00958251953125,
0.0... | 36,334 | 36334 | |
Absolute Values and e in an Integrand
Date: 05/10/98 at 10:06:57
From: Raymond
Subject: Integral of e^(-|x|)
I have recently returned to school to get a masters degree in software
engineering. It has been a while since I have had to use the
techniques of integration that I learned in my undergraduate years.
Would yo... | 5 | [
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-0.052734375,
0.076171875,
-0.01745... | 36,335 | 36335 | |
Even Cycles
October 25th 2010, 09:31 PM
jzellt
Even Cycles
Let G be a graph without even cycles or isolated vertices. Prove that every block of G
is an edge or an odd cycle.
Can someone show this proof? Thanks so much!!
October 27th 2010, 11:06 AM
tom@ballooncalculus
A block that isn't an edge ca... | 4 | [
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0.0111083984375,
0.0223388671875,
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... | 36,336 | 36336 | |
Rates and Fractions
Associated Topics || Dr. Math Home || Search Dr. Math
Rates and Fractions
Date: 1/23/96 a... | 4 | [
0.05029296875,
0.05859375,
0.0008544921875,
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0... | 36,337 | 36337 | |
Contradiction proof
May 4th 2010, 07:47 PM
baker11108
Contradiction proof
Prove n is odd if and only if n^3 is odd. So we want to prove if n is odd then n^3 is not odd. Which is the contradiction.
If n is odd then there exist a number in which n=2m+1. Where do I go from here to finish the proof?
May 4th 20... | 4 | [
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0... | 36,338 | 36338 | |
Probability mass function
March 30th 2008, 08:59 PM
Andreamet
Probability mass function
an urn contains 100 balls: 20 white, 30 black and 50 gray. SUpposed that 20 balls are chosen at random and without replacement. Let W,B, and G be the number of balls, respectibely. Calculate the
probability mass function ... | 4 | [
0.038818359375,
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0.068359375,
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0.0303955078125,
0.1796875,
-0.0069580078125,
-0.04... | 36,339 | 36339 | |
maths economics
May 22nd 2009, 06:33 AM
jwish
maths economics
hi, can someone please help me with this question, im really struggling with it.
"in a certain location, house prices are decreasing at the rate of 5% per annum. How long will they take to halve? if the rate of inflation is 5%, how long will they ... | 4 | [
0.04248046875,
0.0242919921875,
0.05859375,
0.0108642578125,
0.02294921875,
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0.0155029296875,
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0.0986328125,
0.0810546875,
0.0517578125,
-0.1298828125,
-0.0361328125,
-0.0... | 36,340 | 36340 | |
Discrete and Normal Distribution
Date: 01/10/2001 at 23:54:54
From: David Jordan
Subject: Birthday problem in a normal distribution
The traditional "birthday problem" of finding the probability that two
or more people share a birthday assumes a uniform probability. How
would one solve the problem if the distribution... | 5 | [
0.020751953125,
0.10205078125,
0.09228515625,
0.039794921875,
-0.0211181640625,
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-0.07080078125,
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0.05859375,
0.03173828125,
-0.005401611328125,
-0.0810546875,
-0.01263427734... | 36,341 | 36341 | |
Deformation retracts?
October 23rd 2010, 08:51 AM #1
Member
Joined
Feb 2009
Posts
98
Deformation retracts?
Let $x_0 \in S^1$.
Is $S^1$ X $\{ x_0 \}$ a retract of $S^1$ X $S^1$?
Is it a deformation retract of $S^1$ X $S^1$?
I would think one would use the fact that if $S^1$ X $\{ x_0 \}$ w... | 5 | [
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0.0888671875... | 36,342 | 36342 | |
Two applications of finite fields to computational number theory
In this post Iβd like to discuss how finite fields (and more generally finite rings) can be used to study two fundamental computational problems in number theory: computing square roots modulo a
prime and proving primality for Mersenne numbers.Β The corre... | 4 | [
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-0.041748046875,
-0.021484375,
0.0363... | 36,343 | 36343 | |
Coin problem.
April 1st 2009, 03:05 AM #1
Junior Member
Joined
Mar 2009
Posts
52
Coin problem.
Hi,
I stuck in the below question so required assistance :-
Q - A fair coin is tossed 10 times. Find the probability that 2 heads do not occur consecutively.
a) 1/(2^4) b) 1/(2^3) c) 1/(2^5) d) N... | 4 | [
-0.060302734375,
0.0157470703125,
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0.0272216796875,
0.0390625,
0.0615234375,
0.0380859375,
-0.07763671875,
0.005218505859375,
0.03466796875,
-0.01544189453125,
0.050537109375,
-0.064453125,
-0.063964843... | 36,344 | 36344 | |
When do functions near F have zeros near a zero of F?
up vote 2 down vote favorite
1
Consider a sequence of functions $F_n : \mathbb{R}^d \to \mathbb{R}^d$, a function $F: \mathbb{R}^d \to \mathbb{R}^d$, and an $\mathbf{x} \in \mathbb{R}^d$ so that $F(\mathbf{x}) = \mathbf{0}$. In
what sense should the $F_n$ converge ... | 4 | [
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0.080078125,
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-0.0361328125,
0.00136566162109375,
-0.07763671875,
0.042236328125,
-0.03247... | 36,345 | 36345 | |
Canonical trivialization of Stiefel-Whitney classes on the frame bundle
up vote 2 down vote favorite
1
Let $X$ be a smooth manifold, perhaps oriented if necessary. The frame bundle $\pi:P \to X$ carries a canonical trivialization of the pullback of the tangent bundle of $X$ and thus a canonical
trivialization of each ... | 4 | [
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0.0225830078125,
-0.051513671875,
0.022460937... | 36,346 | 36346 | |
How do you describe vector bundles on elliptic curves?
up vote 9 down vote favorite
6
Throughout "curve" means smooth projective curve over an algebraically closed field.
Motivation and Background
I read somewhere that Atiyah has classified vector bundles on elliptic curves. My understanding is that the story is roug... | 5 | [
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-0.07470703125,
0.031494140625,
0.07080078125,
0.0037841796875,
-0.000379562377929687... | 36,347 | 36347 | |
Math Help
compute the double integral $\int\int sin(y^2) dydx$ from [0,sqrt(pi)]x[x,sqrt(pi)] how can I compute sin(y^2)
Hello, One can guess that $0\leq x \leq \sqrt{\pi}$ and $x\leq y\leq\sqrt{\pi}$ that is $\int_0^{\sqrt{\pi}}\int_x^{\sqrt{\pi}} \sin(y^2) ~dy ~dx$ Reverse the order of the integrals (which is
possi... | 5 | [
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0.06396484375,
0.019287109375,
0.0252685546875,
0.0185... | 36,348 | 36348 | |
"Wild" solutions of the heat equation: how to graph them?
up vote 22 down vote favorite
7
It has long been known that the Cauchy initial-value problem for the classical heat equation on $\mathbb{R}$ (or $\mathbb{R}^n$) doesn't have unique solutions, without additional assumptions. In
particular:
Theorem. There ex... | 4 | [
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0.02294921875,
-0.03369140625,
0.031494140625,
... | 36,349 | 36349 | |
Systems of Equations Applications
January 4th 2011, 01:48 PM #1
Newbie
Joined
Dec 2010
Posts
6
Systems of Equations Applications
Hello All! I have two word problems and I have no idea how to solve. Would be helpful if you could show steps and explain.
1. Three cans of tuna fish and four cans of corn... | 4 | [
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0.0322265625,
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-0.07763671875,
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0.0067138671875,
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0.0419921875,
0.0380859375,
-0.006011962890625,
-0.000896453857421875,
-0.0... | 36,350 | 36350 | |
critical points of maxima
February 13th 2007, 04:53 AM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
critical points of maxima
Critical points of maxima/ minima
How can i determine the critical points of this function?
f(x) = x^5 - 5x^3 - 20x - 2
And thanks ahead
You wil... | 4 | [
-0.015625,
-0.0140380859375,
0.0032958984375,
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0.0224609375,
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0.055908203125,
0.01513671875,
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0.045654296875,
-0.01458740234375,
0.0908203125,
0.024169921875,
-0.14... | 36,351 | 36351 | |
Complex Numbers (Principal Argument)
November 17th 2010, 08:08 AM #1
Junior Member
Joined
Oct 2010
Posts
28
Complex Numbers (Principal Argument)
Hi,
Say you had a function of:
e^((i pi)/7) e^(pi i)
And you had to find Arg(z),
I'm getting a bit lost, i'm trying to convert it into x + i... | 4 | [
-0.10595703125,
0.0751953125,
0.00982666015625,
0.09716796875,
-0.0205078125,
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-0.054931640625,
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0.12255859375,
0.046630859375,
-0.043701171875,
-0.0732421875,
-0.034... | 36,352 | 36352 | |
convexity in the euclidean vector space
July 2nd 2008, 09:16 PM #1
Member
Joined
Apr 2008
From
Seoul, South Korea
Posts
128
convexity in the euclidean vector space
Let S be a convex subset of a Euclidean vector space Rm. Recall the following definition: a function f : S -> R
is said to be convex ... | 5 | [
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0.046875,
0.0107421875,
-0.00811767578125,
0.03955078125,
-0.08544921875,... | 36,353 | 36353 | |
Five Bags of Nuts
Date: 04/17/2002 at 16:33:43
From: Candy De Loera
Subject: The Bag of Nuts
George Crackham put five paper bags on the breakfast table. On being
asked what they contained, he said:
"Well, I have put a hundred nuts in these five bags. In the first and
second there are altogether fifty-two nuts; in th... | 4 | [
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0.01470947265625,
-0.006561279296875,
... | 36,354 | 36354 | |
Football Squares
up vote 3 down vote favorite
1
Dear Colleagues,
This is a math question for people who know the rules of (American) football.
Every year my barber runs a βfootball squaresβ game. He finds 100 customers, each put in 20 dollars, and each person is assigned a square on a 10 by 10 grid. After all square... | 5 | [
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0.04443359375,
0.1025390625,
0.0238037109375,
-0.10546875,
0.061279296875,
0.05615234375,
0.0673828125,
-0.051513671875,
-0.07666015625,
0.0216064453125,
-0.03955078125... | 36,355 | 36355 | |
Non-stably trivial bundle with trivial charactertic classes
up vote 12 down vote favorite
2
Though it's relatively clear that the characteristic classes do not characterise a vector bundle (and after looking through some books) I could not find an example of a vector bundle which is not
stably trivial but whose charac... | 5 | [
-0.09814453125,
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0.01806640625,
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-0.0260009765625,
-0.0198974609375,
0.069335... | 36,356 | 36356 | |
Feedback Controllers
Feedback Controllers
Exploring the PID controller
by Philipp Janert | Comment | October 29, 2013
In the previous parts of this series (Part 1, Part 2, Part 3, and Part 4), we introduced feedback as a design principle or paradigm, that can help to keep systems βon trackβ, even in the presence ... | 4 | [
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0.0908203125,
0.02294921875,
0.02... | 36,357 | 36357 | |
Laplace equation
April 12th 2009, 10:30 PM #1
Member
Joined
Nov 2008
Posts
76
Laplace equation
How can I find infinitely many functions $u:R^2 \rightarrow R$ that solve the Laplace equation? I think I need to find analytic functions $f$ in open subset $U \subset C$, but I don't know how to
use the Ca... | 4 | [
-0.003936767578125,
-0.0291748046875,
-0.07470703125,
0.0189208984375,
0.023681640625,
0.0238037109375,
-0.078125,
-0.044921875,
0.0096435546875,
0.002410888671875,
0.08251953125,
0.00089263916015625,
-0.043212890625,
0.04052734375,
0.054931640625,
-0.08544921875,
-0.0274658203125,
... | 36,358 | 36358 | |
modulus of a comples
March 15th 2008, 06:40 AM
tombrownington
modulus of a comples
Let z be a complex such that:
1<=|z|<=6.
Then what are the minimum and maximum values for the complex (z+3).
I suspect that:
0<=|z+3|<=9, but I can't find a way to prove it.
Please help!
March 15th 2008, 06:... | 5 | [
-0.038818359375,
-0.003082275390625,
-0.056396484375,
-0.00176239013671875,
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0.06494140625,
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0.068359375,
0.042724609375,
-0.032470703125,
-0.055419921875,
0.040527343... | 36,359 | 36359 | |
Lambert $W_{-1}(x)$ as $x\rightarrow 0^-$: Asymptotic behavior
up vote 0 down vote favorite
1
There are well known bounds for $W_0$, the "principal" real-valued branch of the Lambert-W function. For example, $W_0(x)$ lies between $\log x - \log\log x$ and $\log x - \frac{1}{2}\log \log x$,
and associated big-O asympto... | 5 | [
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0.09130859375,
0.048583984375,
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0.06689453125,
0.0146484375,
-0.0029296875,
0.0322265625,
0.0380859375,
0.00127410888671875,
0.023193359375,
-0.0225830078125,
0.046875,
0.03564453125,
-0.1181640625,
-... | 36,360 | 36360 | |
Highest common factor proof
October 22nd 2012, 05:26 AM #1
Newbie
Joined
Oct 2012
From
london
Posts
2
Highest common factor proof
Ive got the question: "For non-zero intergers a, m and n, prove that if a is a factor of mn, then a is also a factor of hcf(a,m) x hcf(a,n)"
I've been told to use int... | 4 | [
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0.0181884765625,
0.08154296875,
-0.0250244140625,
... | 36,361 | 36361 | |
Population and Sample
June 23rd 2009, 08:14 AM #1
Newbie
Joined
Jun 2009
Posts
4
Population and Sample
Dear All,
I am very new to statistcs and just started learning it.
The concept of SD is defined in two ways - separately for the whole i.e. population and the sample thereof. In first case the ... | 4 | [
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0.0289306640625,
-0.0625,
... | 36,362 | 36362 | |
Find the closest point on a curve?
April 30th 2006, 03:13 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Find the closest point on a curve?
Q: Find the point on the line -5 x + 3 y + 5 =0 which is closest to the point ( -3, 3 ).
Solution: I know I have to use the distance formula, and I h... | 4 | [
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0.06298828125,
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0.01043701171875,
0.01953125,
-0.0... | 36,363 | 36363 | |
finding celebrity at a party
October 15th 2011, 02:23 AM #1
Member
Joined
Oct 2010
From
Mumbai, India
Posts
203
finding celebrity at a party
Here is a problem
A guest at a party is a celebrity if this person is known
by every other guest, but knows none of them. There is at
most one cele... | 5 | [
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0.029052734375,
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0.0361328125,
0.0140380859375,
0.00610351... | 36,364 | 36364 | |
Finding a term in a Binomial Expansion
February 11th 2009, 04:56 PM #1
Junior Member
Joined
Jan 2009
Posts
54
Good evening forum I am having a problem with the following problem any help would be appreciated:
thank you , AC
use the binomial expansion formula for $(x + y)^8$
we have $(x + y... | 4 | [
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0.0517578125,
0.09033203125,
0.142578125,
-0.0234375,
-0.011413574... | 36,365 | 36365 | |
angle between subspaces
up vote 8 down vote favorite
1
Let $E$ be a finite dimensional real inner product space. I want to define the angle between two subspaces $E_1$ and $E_2$. This has a fairly obvious meaning if $E_1$ is 1-diemsnional: Take the angle
between any non-zero vector in $E_1$ and its orthogonal projecti... | 4 | [
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0.06494140625,
-0.047119140625,
-0.025390625,
0... | 36,366 | 36366 | |
About a General Definition of Profunctor
up vote 4 down vote favorite
2
Given categories $\mathcal{A},\ \mathcal{B}$ let $\mathcal{A}^{<}:=Fun(\mathcal{A}, Set)$ the category of copresheaves on $\mathcal{A}$, let $\mathcal{A}^{>}:=(\mathcal{A}^{op})^{<}$ the category of
presheaves on $\mathcal{A}$.
Let $coCont.Fun(\m... | 4 | [
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0.050048828125,
... | 36,367 | 36367 | |
Triangle. Find QT
May 23rd 2009, 07:11 PM #1
Junior Member
Joined
May 2009
Posts
68
Triangle. Find QT
Okay so Ive figured out half of this question so far, and I need help finding out the rest.
PQRS is an isosceles trapezoid with PS=QR=17 and PQ = 16 and SR = 32. Point R is on SV with RV = 16 and po... | 4 | [
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0.111328125,
0.01544189453125,
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0.083984375,
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0.0419921875,
0.03271484375,
0.0177001953125,
-0.08544921875,
-0.0366... | 36,368 | 36368 | |
Linear Topology
Date: 02/09/2003 at 23:54:00
From: Brandon
Subject: Sets and finite (linear topology)
The question is true or false: If a point in set X is finite, then X
has a first point and a last point. We are to prove by induction if
true, and give a counterexample if false. We know the definition of
first point... | 5 | [
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0.06201171875,
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0.051025390625,
0.0167236328125,
0.038... | 36,369 | 36369 | |
How to use Log Tables
Multiplication or division of two largeΒ numbers or exponentiation are few tough tasks for kids. Letβs use log and anti-logΒ tables for making your calculations easy.
The basic principle of logarithm is as follows.
Common logarithm (with base 10)
We know that
and
Basic Laws
Remember just ... | 4 | [
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0.0517578125,
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0.00286865234375,
-0.013916015625,
-0.15625,
0.119140625,
-0.1132... | 36,370 | 36370 | |
Cost Minimization function with exponent
October 18th 2009, 07:19 AM #1
Newbie
Joined
Jan 2009
Posts
23
Cost Minimization function with exponent
OK, so the equation is:
X = K^.25 L^.75, w = 2, r = 4
I know that:
Marginal Product of Labour/Marginal product of Kapital = w/r
So I take th... | 4 | [
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0.047607421875,
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0.10400390625,
-0.08740234375,
0.04052734... | 36,371 | 36371 | |
Koszul duality and modules over the Chevalley complex
up vote 7 down vote favorite
1
Let $g$ be a Lie algebra over $\mathbb{C}$. Then the equivalence between the derived category of modules over $U(g)$ and the coderived category of co-modules over it's Chevalley complex $C_*(g)$ in
which $M\rightarrow C_*(g,M)$ is a c... | 4 | [
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0.064453125,
0.13... | 36,372 | 36372 | |
Help needed finding an equation.
June 22nd 2010, 07:36 AM
rhawkin2
Help needed finding an equation.
I know this is probably elementary for the users of this site, but I have a problem that I am struggling to even find an equation for, let alone the solution. Here is the problem:
You have $135,245,210. How m... | 4 | [
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0.076171875,
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0.042236328125,
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-0.01275634765625,
0.0240478515625,
0.054931640625,
0.0050048828125,
-0.017333... | 36,373 | 36373 | |
Quasi-dense subsets of boolean algebras
up vote 4 down vote favorite
Definition: Let $B$ be a boolean algebra. Say $X \subseteq B$ is quasi-dense in $B$ if for all $b \in B$, there is $x \in X \setminus$ { $0,1$ } such that either $x \leq b$ or $b \leq x$.
Question: Suppose $A \subseteq B \subseteq C$ are atomless bo... | 5 | [
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0.07177734375,
0.0537109375,
0.07177734375,
-0.002... | 36,374 | 36374 | |
Stationary
Then with no throbbing fiery pain,
No cold gradations of decay,
Death broke at once the vital chain,
And freeβd his soul the nearest way.
Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Samuel Johnson, 1783
The apparent bending of visual images of objects partially submersed in water was noted in antiquity, but it wa... | 4 | [
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0.05078125,
... | 36,375 | 36375 | |
Rudin Analysis bookοΌshrink nicely
December 28th 2009, 06:16 AM
Shanks
Rudin Analysis bookοΌshrink nicely
Let $m$ be the lebesgue measure on $R^k$, a signed measure $u$ is absolutely continous with respect to $m$, $f \in L^1(R^k)$ be the Radon-Nikodym derivative of $u$ with respect to $m$.
$x\in R^k$, and for ... | 4 | [
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0.043701171875,
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-0.0196533203125,
-0.036865234375,
0.03369140625,
0.03125,
-0.0... | 36,376 | 36376 | |
Bounds on maximal eigenvalue of a k-regular graph
up vote 5 down vote favorite
Given a k-regular graph $G$ (every vertex is of degree k), one defines its Laplace operator as $L(G)=D-A=kI-A$, where $I$ is identity matrix and $A$ adjacency matrix of $G$. Let $\lambda_{1}\leq \
ldots \leq \lambda_{n}$ be eigenvalue of $L... | 5 | [
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0.004180908203125,
-0.034423828125,
0.0322265625,
0.005706787109375,
0.0834960... | 36,377 | 36377 | |
Finding the sum of a series
November 1st 2007, 08:29 PM #1
Newbie
Joined
Nov 2007
Posts
2
Finding the sum of a series
Hi. I need help showing the work for the sum of the series (N)/(2^N) from N=1 to infinity. The answer is two, but I'm not quite sure how to go about it.
$\sum\limits_{k = 0}^\infty {... | 5 | [
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0.011474609375,
0.026611328125,
-0.12... | 36,378 | 36378 | |
Strict Transform under Blow-Up along singular Subscheme
up vote 3 down vote favorite
4
My question is if this can be generalized as well: Let $\beta:\widetilde{X}\mathrel{\mathop:}=\mathop{\mathrm{Bl}}_Z(X)\to X$ be the blow-up of a smooth algebraic variety $X$ along a irreducible
generically smooth subscheme $Z$. Let... | 5 | [
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0.042236328125,
0.0301513671875,
0.065429... | 36,379 | 36379 | |
3 Questions URGENT
November 10th 2008, 04:28 AM #1
Newbie
Joined
Nov 2008
Posts
14
3 Questions URGENT
1. Solve the equation for x: -1/6(x-18)+1/3(x+3)=x+4
2. Subract the mixed numeral (write answer as mixed numeral): 32 7/9 - 18 13/15
3. A ladder is leaning against building. The distance from t... | 4 | [
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0.078125,
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0.07568359375,
-0.0693359375,
0.017822265... | 36,380 | 36380 | |
Functions (Transformations) help...
March 17th 2009, 09:09 AM #1
Newbie
Joined
Mar 2009
From
Sauaga
Posts
8
Functions (Transformations) help...
Question:
1. The graph of function g is made by applying the transformations listed below, in the given order, to the function f(x)βx. Find an equation f... | 4 | [
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-0.09423828125,
-0.060302734375,
-0.03125,
0.000652313232421875,
0.014892578125,
-0.00579833984375,
0.0301513671875,
0.0595703125,
0.0284423828125,
-0.0093994140625,
0.021484375,
0.01190185546875,
0.056396484375,
-0.0294189453125,
-... | 36,381 | 36381 | |
Invariant symmetric bilinear forms and H^4 of BG
up vote 4 down vote favorite
1
I am reading this paper of Teleman and Woodward.
On page 4, they say that $H^4(BG;\mathbb{R})$ can be identified with the space of invariant symmetric bilinear forms on $\mathfrak{g}_k$. Why is this true? Is there an easy way to see this?... | 4 | [
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-0.037353515625,
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0.06787109375,
-0.06787109375,
0.052978... | 36,382 | 36382 | |
Solving a system involving products
March 5th 2008, 03:52 PM #1
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Westwood, Los Angeles, CA
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1
Solving a system involving products
The following is from a list of problems that, as far as I know, all have solutions. Unfortunately, I don't have a list of s... | 4 | [
-0.048095703125,
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0.1103515625,
0.08984375,
-0.07666015625,
0.0235595703125,... | 36,383 | 36383 | |
Are congruence subgroups of the modular group finitely presented?
up vote 7 down vote favorite
1
Are the congruence subgroups of the modular group $\Gamma\equiv\mathrm{PSL}\left(2,\mathbb{Z}\right)$ (e.g. $\Gamma\left(n\right)$, $\Gamma_{0}\left(n\right)$, $\Gamma_{1}\left(n\right)$ etc.)
finitely presented? If so, is... | 5 | [
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-0.00405... | 36,384 | 36384 | |
Analyzing the solution to a second-order, non-linear ODE
up vote 3 down vote favorite
1
Let $\psi : [0,\infty] \to \mathbb R$ be a strictly positive, continuously differentiable function, and consider the non-linear ODE $$\ddot x = - \frac{1}{4} \frac{\psi'(x)}{\psi(x)} \left( \dot x^2
- \frac{1}{\psi(x)} \right),$$ w... | 5 | [
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0.11572265625,
-0.10888... | 36,385 | 36385 | |
Question about using integrals to find work
June 9th 2010, 05:08 PM #1
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Joined
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19
Question about using integrals to find work
My problem says that I need to figure out how much work has to be done to pump all of the water out over the side of a 5 foot tall circular pool, but the wate... | 5 | [
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0.02490234375,
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0.01953125,
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0.035400390625,
0.05322265625,
0.12255859375,
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0.10791015625,
-0.0546875,
-0.0062255859... | 36,386 | 36386 | |
Multiplication Trick
Date: 02/08/98 at 21:49:38
From: Rosemarie Lee
Subject: Why is the answer right?
I am a fourth grader and I have been doing multiplication and
division. While playing with multplication I discovered that when I
multiply 25x25 or 35x35 or 45x45 all the way up to 95x95 I can do the
answer in my he... | 4 | [
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0.0206298828125,
-0.065429... | 36,387 | 36387 | |
[SOLVED] semi-circle
June 20th 2006, 07:17 AM #1
dnoster
Guest
[SOLVED] semi-circle
hi everyone
please could someone help me with a problem. If i have a semi-circle, and at the baseline , at certain intervals on that baseline, i need to know what the height is to the arc of the semi-circle
, at right angl... | 4 | [
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-0.0400390625,
-0.... | 36,388 | 36388 | |
Prime Numbers
Re: Prime Numbers
Prime Numbers
Statement All Prime numbers are odd
Proof
Lemma: A prime number greater than 2 is odd.
Proof: Assume the contrary, then 2 divides the number therefore it is not prime.
Now,
1. All prime numbers greater than 2 are odd
2. 2 is the only even prime number. Therefore, it is ... | 5 | [
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-0.0439453125,
-0.03198242187... | 36,389 | 36389 | |
Equality of the determinants of certain submatrices of an orthogonal matrix
up vote 2 down vote favorite
Is the determinant of any submatrix of an ORTHOGONAL matrix extracted from the intersection of $k$ row and $k$ columns equal to that of the $(n-k)(n-k)$ submatrix remaining after deletion of these
rows and columns ... | 5 | [
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0.01055908203125,
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0.05322265625,
-0.0269775... | 36,390 | 36390 | |
Slope and Y-intercept
State the slope and y-intercept of each line. e) -(x+4)=2(y-3) I dont get how that ans is m=-1/2 b=1
It looks okay, I guess. If you would show your work, I could tell you if you did anything besides looking in the back of the book.
I did look in the back of the book I dont understand how the ans... | 4 | [
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0.0595703125,
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0.1484375,
-0.0908203125,
-0.033935546875,
0.... | 36,391 | 36391 | |
Multiplication
Decimal Multiplication and Division
Motivation Problem
Solve the following problem.
Find the electric bill for 370 kwh's of electricity from Red River Region Co-op, which charges 0.094 dollars per kilowatt-hour with a surcharge of 0.005 dollars per kilowatt-hour and has a $28
facility charge. Do not... | 4 | [
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-0.07080078125,
0.05200195312... | 36,392 | 36392 | |
Example of connected-etale sequence for group schemes over a Henselian field?
up vote 5 down vote favorite
12
Can someone give a really concrete example of such a sequence? I am looking at several notes related with such things, but haven't seen any well-calculated example. And I'm really confused at this
point.
Besi... | 5 | [
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0.09765625,
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0.028076171875,
-0.10498046875,
0.0080566406... | 36,393 | 36393 | |
characteristic of a ring
May 30th 2010, 05:56 AM #1
Junior Member
Joined
Jan 2010
Posts
59
Thanks
3
characteristic of a ring
Let $R$ be a commutative ring . If $\mathbb{Z}$ isn't a prime subring of $R$ then prove that $R$ has positive characteristic and therefore the ring $R$ can be written as a prod... | 5 | [
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0.0255126953125,
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-0.011169... | 36,394 | 36394 | |
The Role of Distributed Arithmetic in FPGA-based Signal Processing
The multiply-intensive nature of equ 1 can be appreciated by observing that a single output respons... | 4 | [
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Lattice ordered group
Take the 2-minute tour Γ
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Does there exist a lattice-ordered group of rational rank $1$?
This is true for totally ordered group.
Totally ordered groups are in particular la... | 5 | [
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0.0291748046875,
-0.01... | 36,396 | 36396 | |
Completely prime right ideals
up vote 1 down vote favorite
Recall that a right ideal $P$ of a prime Goldie ring $R$ is called completely prime right ideal if $aP\subseteq P$ and $ab\in P$ implies that $a\in P$ or $b\in P$ for all $a, b\in R$. Now let $P_1$,
$P_2$ and $P_3$ be completely prime right ideals which are no... | 5 | [
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-0.014099121093... | 36,397 | 36397 | |
Solver for the SIR Model of the Spread of Disease
Warren Weckesser
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ... | 4 | [
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-0.0290... | 36,398 | 36398 | |
Galois group of constructible numbers
up vote 8 down vote favorite
2
Let $\mathcal{C}$ be the field of constructible numbers, that is, the complex numbers constructible by compass and straightedge. It can be shown that it consists of all the numbers obtainable by
adding square roots iteratively to the rational numbers... | 4 | [
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-0.016723632812... | 36,399 | 36399 |