content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Maximum/Minimum Problem
September 9th 2009, 11:37 PM #1
Junior Member
Joined
Dec 2007
Posts
59
Maximum/Minimum Problem
Tricky question
The sum of two numbers is 10. Find the numbers if the sum of the their squares is to be a minimum...
I have no idea what exactly the minimum is in this problem.... | 5 | [
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0.10302734375,
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0.056640625,
0.0673828125,
0.0830078125,
0.08544921875,
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0.0267333984375,
0.038330078125,
-0.00726318359... | 41,400 | 41400 | |
Iterative Sparse Channel Estimation and Decoding for Underwater MIMO-OFDM
We propose a block-by-block iterative receiver for underwater MIMO-OFDM that couples channel estimation with multiple-input multiple-output (MIMO) detection and low-density parity-check (LDPC)
channel decoding. In particular, the channel estimato... | 4 | [
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0.04296875,
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0.00885009765625,
0.05029296875,
0... | 41,401 | 41401 | |
Generalization of Curl to higher dimensions
up vote 1 down vote favorite
2
In terms of vector field analogies to closed and exact differential forms, conservative and incompressible vector fields (gradient and divergence) generalize to higher dimensions, but curl and
irrotational fields do not. Why? Cross product does... | 4 | [
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0.12255859375... | 41,402 | 41402 | |
Fundamental group of the moduli stack of elliptic curves
up vote 17 down vote favorite
18
I've heard that the étale fundamental group of the moduli stack of elliptic curves (over $\mathbb{Z}$) is trivial. Is there an easy proof of that? (Note that there are plenty of étale covers once one
inverts a prime $p$, given by... | 5 | [
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-0.0119018554... | 41,403 | 41403 | |
Surface Area of a Cube
Date: 03/10/97 at 16:45:15
From: Aleah Boleman
Subject: Math (surface Area)
Dr. Mike,
Hi. I have a problem about surface area. I have to answer these
questions for cubes with bases of 1, 2, and 3 units:
(a) Find the surface area of each cube.
(b) If the length of the cube is doubled, what is... | 4 | [
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-0.07080078... | 41,404 | 41404 | |
Fujimura's problem
From Polymath1Wiki
Let $\overline{c}^\mu_n$ the largest subset of the triangular grid
$\Delta_n := \{ (a,b,c) \in {\Bbb Z}_+^3: a+b+c=n \}$
which contains no equilateral triangles (a + r,b,c),(a,b + r,c),(a,b,c + r) with r > 0; call such sets triangle-free. (It is an interesting variant to al... | 5 | [
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-0.... | 41,405 | 41405 | |
Bisector of an acute angle (Help)
Find the equation of the line that bisects the acute angles determined by the given lines.
1) $x-6y-12=0$ and $4x-6y-9=0$
Attempt:
$d1=\frac{x-6y-12}{-\sqrt{37}}$ , $\frac{4x-6y-9}{-2\sqrt{13}}$
So d1+d2 =0
$d1=\frac{x-6y-12}{-\sqrt{37}}$ + $\frac{4x-6y-9}{-2... | 4 | [
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-0.0128... | 41,406 | 41406 | |
Volume of a Pyramid
Associated Topics || Dr. Math Home || Search Dr. Math
Volume of a Pyramid
Date: 05/29/2002 at ... | 4 | [
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Find the equation and comman chord of a circle
May 3rd 2009, 10:31 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Find the equation and comman chord of a circle
Find the equation and length of common chord of the circle
$<br /> 2x^2 + 2y^2 + 7x -5y + 2 = 0<br />$ and $<br /> x^2 + y^2 - 4x... | 4 | [
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Some examples of depth
up vote 5 down vote favorite
1
This is related to the question I asked last time. This sounds a bit too specific, I hope this question is still acceptable on MO.
I am still not quite comfortable with the concept of depth, and there is this exercise in Matsumura's book that goes as follows:
... | 5 | [
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0.01251220703125... | 41,409 | 41409 | |
Maximizing revenue equation cannot understand the method
July 23rd 2011, 07:14 PM
chicapsy
Maximizing revenue equation cannot understand the method
Here is how my text book puts it:
Maximizing Revenue
a. $R = f (p) = p . q = p(2400-20p) = 2400p - 20p^2$
b. Manipulate the demand function algebraicall... | 4 | [
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Using Hyperbolas to Locate Earthquakes
Before we begin with this example, we need to review a couple of
key facts about hyperbolas.
Definition of a hyperbola:
A hyperbola is the set of all points in a plane such that the
difference of the distances from two fixed points is a co... | 4 | [
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Factoring Factorials
January 24, 2014
Today’s exercise sounds, from the title, like another exercise involving prime numbers and integer factorization, and it is, but it’s really a puzzle from the realm of recreational mathematics: Given
a positive integer n, compute the prime factorization, including multiplicities,... | 5 | [
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Uniqueness of Kähler form with same volume
up vote 3 down vote favorite
1
Hallo,
Let $M$ be a compact real-analytic Riemannian manifold with Riemannian metric $g$. Let $U \subset T^{*}M$ be a open neighbourhood of the zero section. On $U$ there exists a complex structure $J$ and
a Kähler form $-i\partial \overline{\p... | 4 | [
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Equivalent singular chains and differential forms, as functionals on forms, on compact Riemannian manifolds
up vote 4 down vote favorite
3
On a compact Riemannian oriented manifold $M$,for each singular $k$-chain $\sigma$ (with real coefficients), $\sigma$ induces a linear functional on the $\mathbb{R}$-vector space o... | 4 | [
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MythBusters: How do you characterize a collision?
Have I not made it clear how much I like the MythBusters? Also, I am totally aware that they are not (nor do they claim to be) scientists. Really, this is what makes their show appealing (maybe?). So
here is the problem now. And, it is not just the MythBusters – I see o... | 4 | [
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Need some help with probability and density funtions.
July 26th 2010, 10:24 AM #1
Junior Member
Joined
Feb 2008
Posts
62
Need some help with probability and density funtions.
I have two functions:
$f(x)=kx^2$ for x = 2, 3, 4, 6
$f(x)=kx^2$ for $2<=x<=6$
I need to find the popper value for k... | 5 | [
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0.0205078... | 41,416 | 41416 | |
Math Forum: Teacher2Teacher - Q&A #849
Factoring the sum and difference of two cubes
... | 4 | [
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This looks like a crazy integral...please help
How do I evaluate: http://www.wolframalpha.com/input/?i=integral+sqrt((x^2+%2B+1)^2%2F(x^2+-+1)^2)%2C+from+0+to+1%2F2 ? Any help would be greatly appreciated! Thanks in advance!
$\sqrt{\frac{(x^2 + 1)^2}{(x^2 - 1)^2}} = \frac{x^2 + 1}{x^2 - 1}$ $= \frac{x^2 - 1 + 2}{x^2 -... | 5 | [
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Probability - sampling without replacement.
May 17th 2011, 11:14 AM #1
Newbie
Joined
Nov 2010
Posts
5
Probability - sampling without replacement.
I have a feeling it's not as easy as I originally thought!
"There are 20 solar cells, 12 of which are flat and the rest are concentrated. If you were to p... | 4 | [
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geodesic 2-dimensional submanifolds of a Riemannian manifold
up vote 2 down vote favorite
Possible Duplicate:
Must a surface obtained by exponentiating a plane in a tangent space of a Riemannian manifold be geodesically convex?
The one dimensional geodesic submanifolds of a given Riemannian manifold $(M,g)$ a... | 4 | [
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Lebesgue measure of a manifold embedded in the euclidean space
November 30th 2011, 06:42 PM #1
Newbie
Joined
Nov 2011
Posts
14
Lebesgue measure of a manifold embedded in the euclidean space
Let M be a m-dimensional manifold embedded in a n-dimensional euclidean space. If m is strictly less than n, is its... | 4 | [
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Properties of a non-sofic group
up vote 18 down vote favorite
10
This question is, essentially, a comment of Mark Sapir. I think it deserves to be a question.
A countable, discrete group $\Gamma$ is $sofic$ if for every $\epsilon>0$ and finite subset $F$ of $\Gamma$ there exists an $(\epsilon,F)$-almost action of $\G... | 4 | [
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About the boundedness of a multiplication operator.
up vote 2 down vote favorite
1
Let be $f$ a $2\pi-$periodic function and $\hat{f}(k)=\frac{1}{2\pi}\int_0^{2\pi}f(x)e^{-ikx}dx$. Consider the operator: $$Tf(x)=\sum_{k\in\mathbb{Z}}sign(k)\ \hat{f}(k)\ e^{ikx}.$$ I would like to
know if the operator $T:L^p(0,2\pi)\ri... | 4 | [
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Markov chain for tossing coins
July 5th 2011, 08:36 PM
CountingPenguins
Markov chain for tossing coins
Question:
A coin is tossed until five consecutive heads appear. Model this process as a Markov chain where the states are the numbers of consecutive heads. (0,1,...,5).
a. Find the probability that it t... | 4 | [
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Proof in the literature of an equality involving the prime counting function
up vote 4 down vote favorite
2
Let $$R(x) = \sum_{k=1}^{\infty}\frac{\mu(k)}{k}li(x^{1/k})$$ where $\mu$ is the Mobius function and $$li(x) = \int_0^x \frac{dt}{\log t}$$ Is there a proof in the literature of $$\pi(x)=R(x)-\sum_{\
rho}R(x^{\r... | 4 | [
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Ising models on power-law random graphs
Ising models on power-law
random graphs
Sander Dommers
Joint work with:
Cristian Giardinà
Remco van der Hofstad
Random Graphs and the Brain
May 11, 2011
Where innovation... | 4 | [
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Logic Synthesis Design Synthesis The Y diagram Revisited Structural Behavioral
Design Synthesis
The Y-diagram Revisited
Structural
Behavioral
More
abstract
designs
Physical
Structural B... | 5 | [
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Sine approximation Help
11-03-2007 #1
Registered User
Join Date
Nov 2007
Posts
4
Sine approximation Help
I've been given an assignment to approximate the value of sine of an angle in degrees by using the formula: sin(x) = x −x3/3!+x5/5!−x7/7!+x9/9!· · ·
x is an angle in radians. He wants the program... | 5 | [
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0.0050048828125,
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-0.02807617... | 41,428 | 41428 | |
The Reference Frame
Jon Butterworth of ATLAS asked the same question on his Guardian blog. Many other physicists will be asking the question increasingly more frequently, especially if (and as long as) the 125 GeV God
particle remains the only new particle that the LHC discovers.
Things in Nature may be perfectly n... | 4 | [
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0.03466796875,
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0.00738525390625,
-0.0932617... | 41,429 | 41429 | |
Numb3rs 320: Burn Rate
In this episode the team investigates a series of bombings. By looking at where the bombings occurred, Charlie is able to guess where the bomber lives.
Centroids
In the show Charlie plots the bombing locations on a map and is able to the 'center' of those points, which is the most likely plac... | 4 | [
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-0.0299... | 41,430 | 41430 | |
Recurrence relation
January 30th 2009, 07:45 PM
drthea
Recurrence relation
Hello,
I am trying to understand how to solve this kind of problems but I am stuck in this.
It is given this recurrence relation:
$T(n) = 3T(n - 1) - 2T(n - 2), T(1)=1, T(2)=2$
and the solution is as follows:
$T(n) ... | 5 | [
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-0.... | 41,431 | 41431 | |
Reduce fraction to lowest terms
January 22nd 2009, 10:53 PM #1
Newbie
Joined
Dec 2008
Posts
10
Reduce fraction to lowest terms
This problem confuses me:
1. $\frac{32c^3d^3}{64c^2d}$
I know how to reduce these two:
4. $\frac{2x+6}{3ax+9a}=\frac{2(x+3)}{3a(x+3)}=\frac{2 }{3a}$
9. $\frac{y... | 4 | [
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0.0546875,
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-0.06640625,
0.0864... | 41,432 | 41432 | |
Trying to Integrate f(x) = exp(-ax^2)
Date: 11/23/2001 at 09:07:34
From: Craig Robinson
Subject: Integration
How would you go about integrating a function of the form
f(x) = exp(-ax^2)?
Date: 11/23/2001 at 09:32:53
From: Doctor Jubal
Subject: Re: Integration
Hi Craig,
Thanks for writing to Dr. Math.
The functio... | 5 | [
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0.05029296875,
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-0.0230712890625,
0.10693359375... | 41,433 | 41433 | |
Calculating the Distance Between a Point and a Plane
Date: 10/12/95 at 19:57:12
From: Anonymous
Subject: Distance between a point and a plane
I am trying to calculate the minimum distance between
a point, located in 3-dimensional space, and a plane.
I define the plane by determining the equation
Ax + By + Cz + D = 0... | 5 | [
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-0.007080078125,
... | 41,434 | 41434 | |
Maximal order of a metacyclic transitive permutation group of degree $n$
up vote 4 down vote favorite
What is the maximal order $f(n)$ of a metacyclic (metacyclic group is the extension of a cyclic group by a cyclic group) transitive permutation group of degree $n$? It can be easily proved that $f(p)
=p(p-1)$ for prim... | 5 | [
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-0.0456542... | 41,435 | 41435 | |
Continuous-Time Fourier Transform
The continuous-time Fourier transform (CTFT) (commonly known as Fourier transform) of an aperiodic signal x(t)x(t) size 12{x \( t \) } {} is given by
X(ω)=∫−∞∞x(t)e−jωtdtX(ω)=∫−∞∞x(t)e−jωtdt size 12{X \( ω \) = Int cSub { size 8{ - infinity } } cSup { size 8{ infinity } } {x \( t \) e... | 4 | [
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0.03588... | 41,436 | 41436 | |
Math Help
July 7th 2008, 05:24 PM #1
SAT Math
These are the last two questions in my practice test for the section. I am stuck and have no idea how to get the answer. The answer is given but i do not know how it was gotten. Any help will be
greatly appreciated. q.17-412
1) In the xy-coordinate plane, th... | 4 | [
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-0.09375,
... | 41,437 | 41437 | |
Find an expressjon for velocity?
August 29th 2008, 08:07 AM #1
Find an expressjon for velocity?
In a car race, car A takes a time of t sec less than car B at the finish and passed the finishing point with a velocity v m/s more than the car B. Assuming that the cars start from rest and
travel with constant acc... | 4 | [
-0.006317138671875,
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0.0311279296875,
-0.0... | 41,438 | 41438 | |
A limit concerning prime numbers
up vote 4 down vote favorite
Let $p$ be a fixed prime and $r$ a fixed prime power. Let $x_{p'}$ denote the largest divisor of a positive integer $x$ such that $x_{p'}$ is not divisible by $p$. (For example, $60_{2'}=15$.) I
would like to prove:
Claim: $\dfrac{(r^n-1)_{p'}}{n}\rightarr... | 5 | [
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-0.0082397460937... | 41,439 | 41439 | |
Integration by parts and IVPs
April 6th 2009, 09:32 AM #1
Newbie
Joined
Oct 2008
Posts
6
Integration by parts and IVPs
I have been trying to do these questions for ages now and have only got more and more confused...
First off an integration by parts problem:
Use integration by parts to prove th... | 5 | [
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0.0302734375,
0.0166015... | 41,440 | 41440 | |
Trigonometric substitution.
May 21st 2011, 12:25 AM
salohcinseah
Trigonometric substitution.
hi, i have an example
$\int \sqrt{4^2-4^2\sin ^2\theta .4\cos \theta d\theta }$
it become
$\int 4^2 \cos ^2\theta d\theta$
which later becomes
$4^2\int (\cos 2\theta +1)/2.d\theta$
why is this s... | 4 | [
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0.056884765625,
0.0615234... | 41,441 | 41441 | |
Relations between Stiefel-Whitney classes
up vote 4 down vote favorite
2
I need to know all relations between Stiefel-Whitney classes for closed manifolds of dimensions 3 and 4. Unfortunately, I found the literature on the subject quite confusing. The answer for all
dimensions appears to be contained in E. H. Brown an... | 4 | [
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-0.0... | 41,442 | 41442 | |
How do I simplify this expression?
August 26th 2010, 10:12 AM #1
Junior Member
Joined
Aug 2010
Posts
38
How do I simplify this expression?
Okay, so I need step by step on how to simplify this expression:
(a + 2) / (a^2 + a) ÷ (a + 2) / (a^3)
thank you in advanced.
That is the same as $\frac... | 4 | [
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0.0361328125,
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0.1640625,
-0.06298828125,
-... | 41,443 | 41443 | |
photon propagator
up vote 5 down vote favorite
2
I am reading Zee's book "QFT in a nutshell". I have a question on the photon propagator computation. For a massive photon, consider the Lagrangian $L = -\frac{1}{4} F_{\mu \nu} F^{\mu \nu} + \frac{1}
{2}m^2A_\mu A^\mu + A_\mu J^\mu$, then the path integral is $Z = \int ... | 5 | [
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-0.0546875,
0.055908203125,
-0.... | 41,444 | 41444 | |
Math Help
Hi, How to show that if ab=cd $\Longrightarrow a^2+b^2+c^2+d^2$ is not prime????
Let $p=(a,c)$, then $a=pr,\;c=ps,\;(r,s) = 1$ Since $ab=cd,\; prb=psd$, so $rb=sd. \; s|b$ Assume $b=qs$, from $rb=sd$ we get $rqs=sd$ or $d=qr$ Now put $a=pr,\; b=qs,\; c=ps,\; d=qr$ into $a^2+b^2+c
^2+d^2$ we get $a^2+b^2+c^2... | 4 | [
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0.044921875,
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-0.00933837890625,
-0.01281738... | 41,445 | 41445 | |
Question about the correct variance to use
April 5th 2011, 07:34 AM
noob mathematician
Question about the correct variance to use
I am currently analysing a longitudinal study regarding a treatment group and measurements were taken over 5 intervals. (for example week 1, week 2, week 3, week 4 week 5 etc). There ... | 5 | [
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0.038330078125,
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-0.0096435546875,
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0.034423828125,
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0.041259765625,
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-0.0196533203125,
0.01599121093... | 41,446 | 41446 | |
Finding the equation for a plane with only one point
October 24th 2010, 05:44 AM #1
Member
Joined
Mar 2010
Posts
96
Finding the equation for a plane with only one point
How can I find the equation for a plane with a point T(1,1,-3), and we know that the surface normal for the plane is n = (4,2,1)
I ... | 4 | [
-0.018798828125,
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0.0191650390625,
0.006500244140625,
0.0228271484375,
-0.03369140625,
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0.0203857421875,
0.044189453125,
-0.01141357421875,
-0.0093994140625,
-0.055419921875... | 41,447 | 41447 | |
of
Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 598191, 10 pages
doi:10.1155/2008/598191
Research Article
Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces
^1Department of Mathematics Education and the RINS, Gyeongsang National Unive... | 4 | [
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0.0498046875,
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0.0625,
0.01495361328125,
-0.042236328125,
0.062255859375,
0.0537109375,
-0.075... | 41,448 | 41448 | |
moment-generating function
March 26th 2008, 06:31 AM
TheHolly
moment-generating function
We went over this material once in class and we have a bunch of problems that we have to do, and I still don't know if I understand the concept fully. One of the problems is:
Find the moment-generating function of the d... | 5 | [
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0.050537109375,
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0.064453125,
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0.042236328125,
-0.031494140625,
-0.0322265625,
0.01385498046875,... | 41,449 | 41449 | |
Basic complex numbers
March 31st 2008, 02:33 AM #1
Newbie
Joined
Mar 2008
Posts
17
Basic complex numbers
Hey guys was just wondering if someone could explain why 5i/10i doesnt equal 0.5. My calculator says it is negative 0.5. Should the i's cancel each other out. Please give a detailed explanation,
i... | 4 | [
-0.07275390625,
0.07275390625,
0.053955078125,
0.043212890625,
-0.058349609375,
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0.154296875,
-0.0299072265625,
0.00299072265625,
-0.0556640625,
0.037353515... | 41,450 | 41450 | |
Statistics - Sample Mean
March 3rd 2014, 03:03 PM #1
Member
Joined
Nov 2013
From
Philadelphia
Posts
156
Statistics - Sample Mean
To determine whether a metal lathe that produces machine bearings is
properly adjusted, a random sample of 25 bearings is collected and the
diameter of each is meas... | 5 | [
0.0015716552734375,
0.001495361328125,
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0.080078125,
-0.0322265625,
0.008056640625,
0.0277099609375,
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0.037109375,
-0.0908203125,
-0.0032806396484375,
0.031494140625,
-0.0028839111328125,
-0... | 41,451 | 41451 | |
How to calculate X in a series based on 2 correlated arrays
January 22nd 2013, 04:57 AM
dmbeas12
How to calculate X in a series based on 2 correlated arrays
Hi -
I have two arrays of numbers that have a -0.99 correlation. Since they are correlated, I assume I can determine what an unknown number is in array... | 4 | [
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0.0322265625,
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0.00107574462890625,
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0.03515625,
0.034912109375,
-0.025146484375,
0.01611328125,
-0.08203125,
-0.000... | 41,452 | 41452 | |
WKB Solution as Asymptotic Series
Next: Stokes Constants Up: Wave Propagation in Inhomogeneous Previous: Asymptotic Series
We have seen that the WKB solution
is an approximate solution of the differential equation
in the limit that the typical wavelength, , is much smaller than the typical variation length-scale o... | 4 | [
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0.0034637451171875,
-0.03515625,
... | 41,453 | 41453 | |
Help with formulas?
September 30th 2009, 05:59 PM #1
Newbie
Joined
Sep 2009
Posts
3
Help with formulas?
Would someone please explain to me how to solve these? I'm completely lost and can't even figure out one of the problems on my homework. I would greatly appreciate step-by-step instructions that
ar... | 4 | [
-0.04052734375,
0.0693359375,
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0.095703125,
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0.04150390625,
0.035888671875,
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0.040771484375,
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0.0242919921875,
-0.03173828125,
0.03... | 41,454 | 41454 | |
Probability Problem
March 10th 2009, 04:39 PM #1
Junior Member
Joined
Feb 2009
Posts
34
Probability Problem
A circuit has 3 components: A,B,C. Both B and C serve the same purpose and it is only necessary that one is operational. But A is distinct and must always work. Given that:
Probability (A fail... | 4 | [
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-0.013916015625,
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0.0654296875,
0.05126953125,
0.0166015625,
0.0654296875,
-0.0703125,
-0.043701171875,
-0.10... | 41,455 | 41455 | |
Extending complete filters
up vote 4 down vote favorite
Suppose $\kappa$ is a measurable cardinal and let $\mathcal{F}\subset\wp(\kappa)$ be a $\kappa$-complete non-principal filter. Can we extend $\mathcal{F}$ to a $\kappa$-complete ultrafilter?
My motivation comes from a problem I have just encountered. I need a $\... | 5 | [
0.033447265625,
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... | 41,456 | 41456 | |
Fermat's Theorem
April 21st 2014, 05:41 PM #1
Member
Joined
Nov 2013
From
Philadelphia
Posts
156
Fermat's Theorem
Find the remainder when x^100 + 2x + 10 is divided by x − 11 in Z17[x].
Simplify the result using Fermat’s theorem.
I started to do long division, but it was not going well for... | 5 | [
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0.... | 41,457 | 41457 | |
Homology dimension of the mapping class group of a surface with boundary
up vote 4 down vote favorite
There is a result on the dimension bound for ${M_{g,n}}/S_n$, (the moduli space for Riemann surfaces of genus $g$ with $n$ marked points) that is $H_{i}({M_{g,n}}/S_n)=0$, for $i\ge 6g-7+2n$ except $
(g,n)=(0,3),(0,2)... | 4 | [
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-0.061767578125,
-0.0128173828125... | 41,458 | 41458 | |
Maslov index of a pullback bundle
up vote 5 down vote favorite
3
This question has bugged me as I read McDuff-Salamon's book on pseudoholomorphic curves. I'll use their terminology.
Let $\Sigma$ be a compact surface possibly with boundary, $M$ an almost-complex manifold, and $L$ a totally real submanifold of $M$. A m... | 5 | [
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-0.0595703125,
0.01171875,
0... | 41,459 | 41459 | |
dy
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Here's the question you clicked on:
skyhimself75 Group Title
what is the solut... | 4 | [
-0.05615234375,
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0.051513671875,
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-0.0013885498046875,
-0.06201171875,
-... | 41,460 | 41460 | |
Is a bialgebra with all group-like elements invertible a Hopf algebra?
up vote 8 down vote favorite
5
We know that in a Hopf algebra all group-like elements are invertible. Is the converse also true? Here is the precise formulation of my question :
Let $B$ be a bialgebra and $GLE$ = { $g \in B ~|~ g \neq 0, \Delta (g... | 5 | [
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0.08203125,
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0.043212890625,
0.0588... | 41,461 | 41461 | |
Does the metric space of compact metric spaces satisfy the binary intersection property?
up vote 8 down vote favorite
1
A metric space $Y$ has the binary intersection property provided that whenever a collection of closed balls in $Y$ intersects pairwise, then there is a common intersection point.
Does the metric... | 5 | [
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0.0205078125... | 41,462 | 41462 | |
What is the inverse function of...
The inverse of $f(x) = y = (1-x)^2$ is found as follows Swap x and y and solve for y. $x = (1-y)^2$ $\sqrt{x} = 1-y$ $\sqrt{x}-1 = -y$ $1-\sqrt{x} =y$ $y=f^{-1}(x) = 1-\sqrt{x}$ but the inverse only
exists for a function that is one to one. Does your interval imply this?
| 4 | [
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-0.038330... | 41,463 | 41463 | |
Investing at Two Different Interest Rates
Date: 11/24/2003 at 00:47:23
From: Ryan
Subject: (no subject)
I am having problems with simple interest.
If Pedro invested $5000 for one year, part at 12% annual interest and
the balance at 10% annual interest. His total interest for the year
was $568. How much money did h... | 4 | [
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-0.00104... | 41,464 | 41464 | |
largest Lyapunov exponent
up vote 1 down vote favorite
1
Let A(x,n) be the cocycle over f, where f is an measure preserving transformation on a probability space X. Is the largest Lyapunov exponent always given by
\lim_{n\to +\infty} \log ||A(x,n)||?
Since the above limit can be bounded from above by \int_X\log ||A|... | 5 | [
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-0.0078125,
-0.054... | 41,465 | 41465 | |
Math Help
October 17th 2005, 01:59 AM #4
Newbie
October 15th 2005, 10:58 PM #3
Newbie
October 15th 2005, 10:47 PM #2
October 15th 2005, 03:30 PM #1
Newbie
the root of equation ???? i don't understand why we get d = sqrt((ab+bc+ca)/3) and d = -sqrt((ab+bc+ca)/2)
thansk to rgeq you are very wonderful , an... | 5 | [
-0.07470703125,
0.0179443359375,
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0.046875,
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0.051513671875,
0.042724609375,
0.034912109375,
0.05126953125,
-0.050048828125,
0.0319... | 41,466 | 41466 | |
please help me because tomorrow I will have an exam:(
November 14th 2007, 03:00 PM #1
Newbie
Joined
Mar 2007
Posts
15
please help me because tomorrow I will have an exam:(
We found our midterm questions.Please help me to solve them.Thank you so much:
1)y.y'' + 3(y')^2=0 this is differential equation... | 5 | [
0.0274658203125,
0.00201416015625,
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0.0303955078125,
-0.1025390625,
-0.02148... | 41,467 | 41467 | |
Hand shakes at a party
February 27th 2013, 04:24 PM
PBateman
Hand shakes at a party
My roommate and I are having a house party. We invite 15 couples. At the party, everyone must shake hands with everyone whom they do not already know. At the end of the party, I can't remember
the number of people I have met,... | 4 | [
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-0.04052734375,
-0.... | 41,468 | 41468 | |
Definition of angle between two vectors?
December 14th 2010, 10:30 AM #1
Junior Member
Joined
Jun 2010
Posts
54
Definition of angle between two vectors?
Let A and B be two vectors in 3 dimensions.
Here seems to be the current treatment of the matter in Calculus textbooks:
If A = <x1, y1, z1> an... | 5 | [
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... | 41,469 | 41469 | |
Quadratic Equation Word Question
January 23rd 2010, 03:24 PM
Frankasd
Quadratic Equation Word Question
Hello could someone please help me with this?
A picture measuring 5cm by 10cm is surrounded by a frame with half the area of the picture. The width of the frame is to be the same on all sides. What is the f... | 4 | [
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0.0791015625,
-0.0291748046875,
0.017700195... | 41,470 | 41470 | |
Koszulness of the cohomology ring of moduli of stable genus zero curves
up vote 9 down vote favorite
3
Let $n \geq 3$. The ring $H^\bullet(\overline{M}_{0,n},\mathbf Q)$ was determined by Sean Keel. It is generated by the cohomology classes of boundary divisors $D_{A,B}$ corresponding to partitions $A
\sqcup B = \{1,\... | 4 | [
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-0.03759765625,
... | 41,471 | 41471 | |
Here's another question on finding X
April 3rd 2008, 01:02 PM #1
Newbie
Joined
Apr 2008
Posts
16
Here's another question on finding X
Is there a trick to finding the value of X?
Example:
75% of x = 1050
90% of x = 1260
I know that x = 1400, but I'm wondering if there's an easy way to fi... | 4 | [
0.0042724609375,
0.052001953125,
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0.038818359375,
-0.046142578125,
0.08740... | 41,472 | 41472 | |
Pointwise convergence
June 18th 2008, 10:21 AM #1
Member
Joined
Mar 2008
Posts
99
Pointwise convergence
(1) Let $f_n(x)= \frac{nx}{1+nx^2}$.
(a) Find the pointwise limit of $(f_n)$ for all $x \in (0,\infty)$
(b) Is the convergence uniform on $(0,\infty)$?
(c) Is the convergence uniform on $(... | 5 | [
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0.0673828125,
... | 41,473 | 41473 | |
Need help with discrete probabilities
April 11th 2012, 07:04 PM #1
Member
Joined
Sep 2009
Posts
104
Thanks
1
Need help with discrete probabilities
Hey guys, I need help with this question:
Suppose the random variable x = 1, 2, 3, 4, 5, 6. In addition suppose:
p(1)=p(2) and p(3)=p(4)=p(5)=p... | 4 | [
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0.09423828125,
-0.04052734375,
0.0203857421875... | 41,474 | 41474 | |
Distribution of associate primes modulo q in number fields
up vote 3 down vote favorite
In Dirichlet's theorem for number fields, I asked about an analogue of Dirichlet's theorem (or I guess I should call it the Prime Number Theorem for Arithmetic Progressions) for number fields. There
I received a confirmation of th... | 5 | [
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-0.0250244140625,
-0.031... | 41,475 | 41475 | |
final-517-report-dvb4_bg05_dvb5submitted
Optimization of Geometry and Beam Sizing for Load-bearing Structure
ME 517: Optimization in Design Winter 2008 Team 1: Brenton Gibson – gibson.b.d@gmail.com Douglas Van Bossuyt - drdougfir@gmail.com
Abstract
Part of the design for a mecha... | 4 | [
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0.10546875,
0.03247070312... | 41,476 | 41476 | |
Jonsson Boolean algebras?
up vote 10 down vote favorite
2
Let us ay that a mathematical structure of cardinality $\omega_1$ is Jonsson whenever each its proper substructure is countable.
There are examples of Jonsson groups due to Shelah or Obratzsov. I am almost sure that there is no Jonsson Boolean algebra but I ca... | 5 | [
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0.01190185546875,
-0.092285... | 41,477 | 41477 | |
I have a couple of parabola and quadratic equation related issues.
May 7th 2010, 12:35 PM #1
Newbie
Joined
Jan 2010
Posts
11
I have a couple of parabola and quadratic equation related issues.
Hello again MHF!
Just a couple of questions that I don't know how to work out fully.
*******************... | 5 | [
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0.03125,
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0.0810546875,
-0.01123046875,
-0.1... | 41,478 | 41478 | |
Multinomial distribution problem help
July 31st 2012, 08:53 AM #1
Newbie
Joined
Jan 2012
Posts
7
Hi,
I am trying to solve a problem from the book 'Probability Theory, The logic of Science' from chapter 3 page 71. The problem goes like this:
Suppose an urn contains N = $\sum{Ni}$balls, N1 of color... | 4 | [
0.0308837890625,
0.04638671875,
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0.018310546875,
0.10498046875,
0.0546875,
-0.04003... | 41,479 | 41479 | |
Particle movement through space #2
March 18th 2010, 03:55 AM #1
Junior Member
Joined
May 2009
Posts
39
Particle movement through space #2
A particle moves according to a law of motion s = f(t), t >= 0, where t is measured in seconds and s in feet.
Find the velocity at time t.
What is the velocit... | 4 | [
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0.020263671875,
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0.015869140625,
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-0.04833984375,
0.0118408203125,
... | 41,480 | 41480 | |
Absolute min and max
March 18th 2013, 04:37 PM #1
Member
Joined
Sep 2012
From
US
Posts
123
Absolute min and max
Find the absolute minimum and absolute maximum values of f on the given interval.
f(t) = 3t + 3 cot(t/2),
[π/4, 7π/4]
Hey guys, I'm stuck on this and on my last attempt, pleas... | 5 | [
0.003936767578125,
0.0135498046875,
-0.01190185546875,
-0.024658203125,
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0.12353515625,
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0.01519775390625,
-0.06982421875,
0.037353515625,
0.013427734375,
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-0.03955078125,
0.050048828125,
... | 41,481 | 41481 | |
Extrema help
January 2nd 2012, 11:14 AM #1
Junior Member
Joined
Dec 2010
Posts
47
Hi, after a long break I've decided to look at my math hw since I go back to school tomorrow. Well, I don't understand the first problem so hopefully if I can get help with this one I can
understand the rest.
1. (no... | 4 | [
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0.04052734375,
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0.04052734375,
-0.0... | 41,482 | 41482 | |
Help please
October 13th 2012, 07:57 AM
guest13
Help please
First 44 nos are written in order to form largest no N=12345678910111213.........424344.
What will be remainder when N is divided by 45??
October 14th 2012, 11:26 AM
Soroban
Re: Help please
Hello, guest13!
Quote:
$\text{The first ... | 4 | [
-0.04248046875,
0.0830078125,
0.064453125,
-0.047119140625,
0.004913330078125,
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-0.0023193359... | 41,483 | 41483 | |
[SOLVED] How to solve this inequation?
$1 + l x l > \frac{6}{l x l}$ lxl stands for modulus of x. Find the solution set
Consider cases. Obviously, x cannot equal zero, or you'll have division by zero. If x > 0, then |x| = x, and you have 1 + x > 6/x, so x^2 + x - 6 > 0. If x < 0, then |x| = -x, and you have 1 - x > -6... | 4 | [
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[SOLVED] Partial derivation
October 1st 2008, 09:52 PM #1
I'm new at this, so...
$yln{x}\ln{y}dx+dy=0$
then, making it a function:
$f(x,y)=\frac{dy}{dx}= -yln{x}\ln{y}$
$\frac{\partial{f}}{\partial{y}}= ?$
any help (and further explanations) will be great...
thanks in advance ^^
H... | 5 | [
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Existence, uniqueness, and smoothness of a solution to a first order PDE on Riemannian M
up vote 3 down vote favorite
2
Let $\mathcal{M}$ be an $n$-dimensional compact Riemannian manifold, and let $\mathcal{A} \subset \mathcal{M}$ be an $n$-dimensional Riemannian submanifold. I wish to determine the local existence,
u... | 4 | [
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-0.002166748046875,
-0.0458... | 41,486 | 41486 | |
Ways of choosing k items out of n with exactly one symbol in common
up vote 5 down vote favorite
This is inspired by a card-game – the game involves cards with 8 different symbols printed on each, with the property that each pair of cards has exactly 1 symbol in common. That set us thinking –
given an $n$-alphabet, wh... | 4 | [
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-0.049804... | 41,487 | 41487 | |
need help understanding d/dx(x^(1/2))
May 20th 2012, 12:54 PM
sig
need help understanding d/dx(x^(1/2))
Hi,
I'm having problems understanding the derivation of fraction exponents like this for example:
d/dx(x^(1/2))
Obviously I have more complicated problems than this to evaluate, but a basic explan... | 4 | [
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0.052490234375,
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0.04541015625,
0.004852294921875,
0.06982421875,
-0.044189453125,
0... | 41,488 | 41488 | |
2 probability q's, 2 confidence interval q's
April 13th 2009, 07:44 AM #1
Newbie
Joined
Apr 2009
From
dc
Posts
11
1) Your parents are always complaining that you do not do enough housework. They say that you should be helping them out because you are only a student and you have alot more spare time th... | 5 | [
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-0.08691... | 41,489 | 41489 | |
Help with factoring
July 14th 2009, 05:54 PM #1
Newbie
Joined
Jul 2009
Posts
2
Help with factoring
Hello. I need to factor this equation and I'm a bit stumped.
The equation is $25{x^2}{y^2}z - 9{a^2}{b^2}z$
I'm not sure how to approach it. Any help would be appreciated
When it comes to... | 4 | [
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0.003265380859375,
0.00479125... | 41,490 | 41490 | |
Physiological Signals Processing System - Patent 4633884
United States Patent: 4633884
( 1 of 1 )
United States Patent
4,633,884
Imai
, et al.
January 6, 1987
Physiological signals processing system
Abstract
In a physiological signals ... | 4 | [
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system of ODE
April 24th 2006, 10:51 PM
braddy
system of ODE
Hi, Please can someone help me on how to do this exercise.
Give a fundamental matrix for the system:
{x'(t)=-y(t)
{y'(t)=20x(t)-4y(t)
the solution is like:
{v1(t)=e^(2t)*cos(4t)[1;4]+e^(2t)*sin(4t)[-1;-2], v2(t)=e^(2t)*cos(4t)[1;... | 5 | [
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... | 41,492 | 41492 | |
Geometric interpretation of the exact sequence for the cotangent bundle of the projective space
up vote 2 down vote favorite
4
Edit: As Dan Petersen pointed out, this question is a duplicate of a previous one. I would leave it for the moderators to decide if this should be closed. On the other hand, may be this should... | 4 | [
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Limit using L'hospital and maybe another trick
May 25th 2010, 02:10 PM #1
Newbie
Joined
May 2010
Posts
2
Limit using L'hospital and maybe another trick
Hi, I've been sitting on this more than an hour and still can't find the solution
$\displaystyle\lim_{x \to{\infty}}{\displaystyle{x(}(1+\frac{1}{x}... | 5 | [
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-0... | 41,494 | 41494 | |
solving polynomial word problems
May 25th 2009, 07:12 PM #1
Junior Member
Joined
May 2009
Posts
36
solving polynomial word problems
if anyone could help with any of these questions, it would really make my day!
question 1. When the polynomial mx^3-3x^2+nx+2 is divided by x+3, the remainder is -1. Wh... | 4 | [
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-0.04150... | 41,495 | 41495 | |
Supremum of measure of sets of measure less or equal to 1/2.
up vote 8 down vote favorite
Let $(X,d)$ be a metric space equipped with a probability measure $\mu$ (defined on the Borel $\sigma$-algebra on the topology induced by the metric $d$). I am interested in the different values that
the following can take
$\sup... | 5 | [
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-0.0390625,
0.140625,
-0.00274658203125... | 41,496 | 41496 | |
Factoring a certain quartic mod primes
up vote 2 down vote favorite
2
Let $h(x)=x^4+12x^3+14x^2-12x+1$, and let $p>5$ be a prime.
I want to show $h(x)$ factors into 2 quadratics mod $p$ if $p \equiv 9,11$ mod 20, while $h(x)$ factors mod $p$ into 4 linear factors if $p \equiv 1,19$ mod 20. I can show $h(x)$ is irredu... | 5 | [
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0.044921875,
-0.... | 41,497 | 41497 | |
The Mollweide Projection
[Next] [Up] [Previous]
The Mollweide Projection
The Mollweide projection is an attempt to moderate the behavior of the equal-area sinusoidal projection.
This projection is also equal-area. This is achieved by locating each parallel where the proportion of the area of the ellipse between that... | 4 | [
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0.... | 41,498 | 41498 | |
How To Solve Integral of e? And solve velocity?
June 9th 2009, 10:04 PM
AlphaRock
How To Solve Integral of e? And solve velocity?
1) int(1/(1-e^(-x)))
My attempt:
ln |1-e^(-x)| + c
Answer:
ln |e^x - 1| + c
2) Solve the differential equation:
(e^(x-y))dy=-dx
My Attempt:
-1/(e^(x... | 5 | [
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