content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
ENGG1000 Engineering Design and Innovation Capacitors
ENGG1000 Engineering Design and Innovation
Capacitors
1.0 The Capacitor
Capacitors are a fundamental circuit element, which physically consist of two
conducting plates ve... | 5 | [
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-0.09326... | 38,800 | 38800 | |
Isotropic forms in field of p-adic numbers
November 22nd 2012, 04:41 AM #1
Newbie
Joined
Jan 2010
Posts
23
Isotropic forms in field of p-adic numbers
Hi,
for which primes $p$ are the quadratic forms
$7x^2-y^2-5z^2$
and
$w^2+x^2+3y^2+11z^2$
isotropic over the field over $p$-adic n... | 5 | [
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0.00921630859375,
-0.09228515625,
0.0084228515625,
-0.040771484375,
-... | 38,801 | 38801 | |
Differential equation / Seperable
May 6th 2009, 01:15 AM #1
Differential equation / Seperable
Hello!
I have been given an equation as following;
$\frac{dy}{dt}=ay(A-y)$
where
$y>0$
$A$ and $a$ are positive constants
1)
I am then to find the constants $\alpha$ and $\beta$ so the eq... | 5 | [
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0.042724609375,
0.0986328125,
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0.068359375,
0.0634765625,
0.01177978515625,
-0.08056640625,
-0.0449218... | 38,802 | 38802 | |
Finding area of a region
Would that give me the area for S? The formula that I took a picture of. Im doing (b)
I dont think so. This gives you the right soln $\int_3^6 y dx - \int_3^4 f(x) dx$ Basically get the area under the curve of the line from where the line is tangent to f(x)(x=3) to where the line
intersects th... | 5 | [
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0.0888671875,
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0.0517578125,
0.051025390625,
-0.0791015625,
-0.00047111... | 38,803 | 38803 | |
Applications of Measure, Integration and Banach Spaces to Combinatorics
up vote 12 down vote favorite
7
I'm going to be teaching a Master's level analysis course(measure theory, Lebesgue integration, Banach and Hilbert spaces, and if there's time, some spectral or PDE stuff) in the fall. My problem is
that while rough... | 5 | [
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... | 38,804 | 38804 | |
Questions about vector spaces, matrices, and eigenvalues
April 19th 2011, 02:51 PM
sj247
Questions about vector spaces, matrices, and eigenvalues
Hiya, I'm a bit stuck and I need help answering these short questions:
- Suppose that (V,+,.) is a vector space over a field F & S= {V1,V2,...,Vk) is a subset of ... | 4 | [
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0.0277099609375,
-0.00872802734375,
... | 38,805 | 38805 | |
Tricky sin equation
April 23rd 2010, 12:32 AM
appleseed
Tricky sin equation
Hello!
This is the equation Im stuck with:
$2sin (0.5x) = 3/3x+2$
Im not sure where to start, because I cant take out any of the x values,
should i let 0.5x be a completely new vale like 'y' and but then i will still b... | 5 | [
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0.0556640625,
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0.021240234375,
-0.02587890625,
0.01367... | 38,806 | 38806 | |
First Bourbaki seminar of 2013
Posted by: matheuscmss | January 23, 2013
First Bourbaki seminar of 2013
Last Saturday (January 19, 2013), the first Bourbaki seminar of this year took place at amphithéâtre Hermite of Institut Henri Poincaré (as usual), and the following topics were discussed:
The speakers did a great... | 4 | [
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-0... | 38,807 | 38807 | |
The Order of an Element
Date: 11/05/98 at 01:12:01
From: David Zdravkovic
Subject: Abstract Algebra
Hi,
I would greatly appreciate your help with the following questions:
1) Suppose that G is a group that has exactly one nontrivial proper
subgroup. Prove that G is cyclic and |G|=p^2, where p is prime.
2) If |a^2|... | 5 | [
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0.0103... | 38,808 | 38808 | |
Put the following matrices in canonical form?
February 21st 2011, 11:09 PM
Borkborkmath
Put the following matrices in canonical form?
a]
(1 0 1)
(0 1 0)
(0 0 1)
b]
(1 0 1)
(0 1 0)
(1 0 1)
c]
(1 0 0 1)
(0 1 1 0)
(0 0 1 0)
(1 0 0 0)
Help please.
February 22nd... | 5 | [
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... | 38,809 | 38809 | |
[SOLVED] Second order differential equations
February 15th 2009, 02:54 PM
rajr
[SOLVED] Second order differential equations
a)
Find the general solution of the second order differential equation
4y′′ + 8y′ + 3y = 0 .
Find the particular solution that satisfies the initial conditions y(0) = 2 an... | 4 | [
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0.051513671875,
-0.0091552734375,
-0.04467773437... | 38,810 | 38810 | |
5 calc problems that i need checked!
October 4th 2009, 12:56 AM #1
Newbie
Joined
Oct 2009
Posts
1
5 calc problems that i need checked!
Hey I am new here, and i am desperately in need of help.
1. Find the Hydrostatic Force on the plate. Image - TinyPic - Free Image Hosting, Photo Sharing & Video Host... | 5 | [
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0.03955078125,
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0.056640625,
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0.080078125,
-0.0078125,
0.032470703125,
-0.0712890625,
-0.0595703125,
... | 38,811 | 38811 | |
Solving for x and y based on ratio
May 19th 2010, 02:53 AM #1
Newbie
Joined
May 2010
Posts
1
Solving for x and y based on ratio
Hi,
x + y = 25
solve for x and y where ratio of x:y is 4:3
Could someone please run me through the steps for solving 2 unknowns based on a ratio?
Many thanks... | 4 | [
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0.060791015625,
-0.03662109... | 38,812 | 38812 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: fminsearch and functions
Replies: 3 Last Post: Feb... | 5 | [
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-0.10595703125,
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0.01904296875,
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0.037841796875,
-0.056640625,
-0.0324707... | 38,813 | 38813 | |
Balls-and-bins type problem
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Suppose I have an n-by-n array of bins, and I want to choose k (k >= n) bins from these n^2 bins such that each row of the array has at least one b... | 5 | [
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0.024169921875,
-0.0908203125,
... | 38,814 | 38814 | |
R[x] - Reducible?
October 18th 2009, 06:51 AM
aman_cc
R[x] - Reducible?
R[x] - Ring of polynomials in 'x' over Real numbers.
I read in my book that only elements of R[x] which might not be reducible further are that of degree 1,2.
It says proof is easy - and can be derived from the formula to solve quadr... | 4 | [
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0.0947265625,
0.050048828125,
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-0.0036163330078125,
-0.00723266601562... | 38,815 | 38815 | |
Area of an Octagon
Associated Topics || Dr. Math Home || Search Dr. Math
Area of an Octagon
Date: 10/26/2001 at 0... | 4 | [
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0.0208... | 38,816 | 38816 | |
Need PreCalculus Help
January 31st 2006, 07:04 PM
mkfadeaway11
Need PreCalculus Help
Find all the real solutions of the equation.
square root of the quantity (x+7), minus the square root of the quantity (x+2)
equals the square root of the quantity (x-1), minus the square root of the
quantity (x-2).
... | 4 | [
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-0.0324707031... | 38,817 | 38817 | |
Three Simultaneous Equations
Associated Topics || Dr. Math Home || Search Dr. Math
Three Simultaneous Equations
... | 4 | [
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0.028076171875,
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0.09375,
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-0.1279296875,
0.03... | 38,818 | 38818 | |
[SciPy-user] Characteristic polynomial
Nikolas Karalis nikolaskaralis@gmail....
Sun Dec 23 10:37:03 CST 2007
Hello again. I return with another question regarding characteristic
polynomials.
I am computing the characteristic polynomials for matrices. And while (for
millions of them) i get the right result, i found s... | 4 | [
0.0189208984375,
0.01263427734375,
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0.0208740234375,
-0.... | 38,819 | 38819 | |
Rolling 4 dice
March 14th 2007, 12:46 PM
Shaun Gill
Rolling 4 dice
4 dice are rolled. what is the chance of gettin two 5's and two 6's? i've done the exhaustive approach and found it to be 1/216. how do i do it using a proper method?
March 14th 2007, 01:03 PM
Plato
The string “5566” can occur in (4!)/[(2!... | 4 | [
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-0.00... | 38,820 | 38820 | |
Exponential Growth - Download Now PowerPoint
Modeling Populations:
an introduction
AiS Challenge
Summer Teacher Institute
2003
Richard Allen
Population Dynamics
Studies how populations change over time
Involves knowledge about birth and death
rates, food s... | 5 | [
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-0.039794921875... | 38,821 | 38821 | |
checking if 2 numbers of array add up to I
Stack Overflow is a question and answer site for professional and enthusiast programmers. It's 100% free, no registration required.
I saw a interview question as follows: Give an unsorted array of integers A and and an integer I, find out if any t... | 5 | [
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0.027587890625,
-0.068359375,
-0.04931640625... | 38,822 | 38822 | |
Representation of p-adic integers using primitive roots
May 17th 2014, 02:18 PM
SlipEternal
Representation of p-adic integers using primitive roots
Let $p$ be an odd prime and let $r$ be any positive integer that is a primitive root module $p^2$. Let $X_p = \varprojlim \Bbb{Z} / (p-1)p^n \Bbb{Z}$ be the inverse ... | 4 | [
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0.0164794921875,
-0.058837890625,
0.0... | 38,823 | 38823 | |
Heuristic reason for Polya's conjecture
up vote 11 down vote favorite
2
Let $\lambda(n)$ be Liouville's function, so that for each positive integer $n = p_1^{m_1}\cdots p_r^{m_r}$, we have that $\lambda(n) = (-1)^{\sum^{r}_{k=1}{m_k}}$. In 1919, Polya conjectured that $L
(x) = \sum_{n \leq x}{\lambda(n)} \leq 0$ for a... | 4 | [
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0.01214599609375... | 38,824 | 38824 | |
Problem with matrices question, finding A^2
July 15th 2012, 10:21 AM #1
Newbie
Joined
Jul 2012
From
USA
Posts
1
Problem with matrices question, finding A^2
The question is this one below:
Let
A =
(1 -3)
2 0
How am I supposed to find A^2?
Also Let
B =
(-6 3 )
8 ... | 4 | [
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0.017578125,
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-0.0025634765625,
0.05126953125,
-0.0252... | 38,825 | 38825 | |
Some Fourier Analysis
April 15th 2010, 11:53 PM #1
Junior Member
Joined
Apr 2010
Posts
26
Some Fourier Analysis
I have to proof the following:
If $f:\mathbb{T}\rightarrow\mathbb{C}$ Riemann integrable and $g:\mathbb{T}\rightarrow\mathbb{C}$ continuous, then:
$\lim_{n\to\infty}\frac{1}{2\pi}\int... | 4 | [
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-0.0030975341796875,
-0.042236328125,
-0.0036163330078... | 38,826 | 38826 | |
An interesting indefinite integral
solve $\int \left[ \frac{ \arctan(x) }{ x - \arctan(x) } \right]^2 ~dx$
let $\tan^{-1} x = t.$ then your integral becomes: $I=\int \frac{t^2 \sec^2t}{(\tan t - t)^2} \ dt=\int \frac{t^2}{(\sin t - t\cos t)^2} \ dt=\int \frac{t}{\sin t} \cdot \frac{t \sin t}{(\sin t - t \
cos t)^2} \ ... | 5 | [
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-0.042236328125,
0.0145263671875,
-0.051025390625,
-0.041748046875,
0.032958984375,
-0.008... | 38,827 | 38827 | |
Where the function is discontinuous.?
September 1st 2011, 04:21 PM #1
Member
Joined
Apr 2008
Posts
78
Where the function is discontinuous.?
Find all values x=a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn'... | 4 | [
-0.0118408203125,
0.0260009765625,
0.029541015625,
0.03173828125,
0.0087890625,
0.002044677734375,
0.01239013671875,
0.0106201171875,
0.031005859375,
-0.009765625,
0.08984375,
-0.0284423828125,
-0.012451171875,
0.055908203125,
-0.01165771484375,
0.0322265625,
-0.01385498046875,
-0.... | 38,828 | 38828 | |
Some help with a relatively straight forward integral please!
June 28th 2012, 05:43 AM #1
Junior Member
Joined
Oct 2010
Posts
27
Some help with a relatively straight forward integral please!
Just trying to understand the answer in my book here...
given that cos(2x) = 2cos^2 x -1
then:
cos^... | 4 | [
-0.0235595703125,
0.01708984375,
0.0791015625,
0.10205078125,
0.05517578125,
0.041015625,
-0.0439453125,
0.01904296875,
0.0013275146484375,
0.041259765625,
0.0576171875,
-0.0654296875,
0.0062255859375,
0.021728515625,
-0.0201416015625,
-0.002197265625,
0.04736328125,
0.012878417968... | 38,829 | 38829 | |
[SciPy-User] raising a matrix to float power
Charles R Harris charlesr.harris@gmail....
Sun Jul 11 12:41:39 CDT 2010
On Sun, Jul 11, 2010 at 11:31 AM, Alexey Brazhe <brazhe@gmail.com> wrote:
> Seems to be, but not for any matrix:
>
> #-----------------
>
> def mpower(M, p):
> "Matrix exponentiation"
> e,EV =... | 4 | [
-0.0294189453125,
0.034423828125,
-0.09912109375,
0.041259765625,
0.01470947265625,
-0.123046875,
-0.0218505859375,
-0.08203125,
-0.01104736328125,
0.06298828125,
0.01275634765625,
0.03466796875,
0.01513671875,
0.0135498046875,
0.044189453125,
0.09130859375,
-0.047119140625,
0.0512... | 38,830 | 38830 | |
Right Triangle
March 16th 2008, 01:57 PM
Vitamin
Right Triangle
One leg of a right triangle is 24.0 cm longer than the other leg. If the hyptoenuse is to be greater than 65.0 cm, what values for the length of the other leg are permissible?
My work is:
$(25 + x)^2 + x^2 = 65^2$
$625 + 50x + x^2 + x... | 4 | [
0.03759765625,
0.1357421875,
0.00176239013671875,
-0.046630859375,
-0.043212890625,
-0.053955078125,
-0.08154296875,
0.09326171875,
-0.06005859375,
0.054443359375,
0.03759765625,
-0.054443359375,
0.05322265625,
0.040283203125,
0.033447265625,
0.04150390625,
-0.0673828125,
-0.036132... | 38,831 | 38831 | |
Linear independence
June 2nd 2008, 06:38 PM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
Linear independence
Let u,v be distinct vectors in a vector space V. Show that {u,v} is linearly
dependent if and only if u or v is a multiple of the other.
So we have a statement
$p \... | 5 | [
-0.034423828125,
-0.0076904296875,
0.04443359375,
0.04345703125,
0.04833984375,
0.1240234375,
0.0693359375,
-0.058349609375,
0.034423828125,
-0.01953125,
0.111328125,
-0.052001953125,
0.0145263671875,
0.10595703125,
-0.03076171875,
-0.064453125,
-0.09375,
-0.022216796875,
-0.0419... | 38,832 | 38832 | |
inverse problem for ergodic measures
up vote 5 down vote favorite
1
It is a basic fact in the weak-* topology, the set of invariant measures for a dynamical system is closed, compact, and convex in the weak-* topology. Furthermore, the set of ergodic measures is
equal to the set of extremal points of the the set of in... | 5 | [
0.0225830078125,
-0.061767578125,
-0.0284423828125,
0.0174560546875,
-0.0220947265625,
0.05126953125,
0.11328125,
0.005645751953125,
0.1083984375,
-0.07666015625,
-0.039794921875,
-0.04052734375,
0.031005859375,
0.00164031982421875,
0.00115966796875,
-0.060302734375,
0.040283203125,
... | 38,833 | 38833 | |
Probability Density Functions
October 26th 2009, 09:18 PM
xuyuan
Probability Density Functions
Hi, sorry need help on a second problem. I've figured out the probability here as
0.68 by integrating from 1 to 1.2 for 2-x and add to integration from 0.8 to 1 for x but I'm not sure if I'm using the distribution... | 5 | [
0.039794921875,
0.005462646484375,
0.1015625,
-0.0234375,
-0.006591796875,
-0.0703125,
0.0016021728515625,
0.033447265625,
-0.041259765625,
-0.005401611328125,
-0.0269775390625,
-0.08203125,
0.038330078125,
0.060791015625,
-0.0024871826171875,
-0.0198974609375,
0.0185546875,
-0.110... | 38,834 | 38834 | |
Direct Manipulation Of Subdivision Surfaces Using A Graphics Processing Unit - Patent 7868885
United States Patent: 7868885
( 1 of 1 )
United States Patent
7,868,885
Zhou
, et al.
January 11, 2011
Direct manipulation of subdivision surfaces... | 4 | [
-0.123046875,
0.037109375,
-0.01434326171875,
-0.035888671875,
-0.0556640625,
-0.04638671875,
-0.06640625,
0.03271484375,
-0.005462646484375,
0.037109375,
0.032470703125,
0.01348876953125,
0.015625,
0.0302734375,
-0.0673828125,
-0.0242919921875,
-0.0284423828125,
0.044677734375,
... | 38,835 | 38835 | |
Help solving conics that are equal to zero, degenerate
November 25th 2012, 09:40 AM
mikewezyk
Help solving conics that are equal to zero, degenerate
If I have a conic in standard form (converted from 9x^2 -4y^2-36x-24y=0) of 9(x-2)^2-4(y+3)^2=0, how would I go about either solving or graphing this. If it were a ... | 4 | [
0.01708984375,
-0.006195068359375,
-0.04736328125,
-0.024658203125,
0.034912109375,
0.00286865234375,
-0.022705078125,
0.03515625,
-0.0191650390625,
0.00009107589721679688,
0.08056640625,
-0.0263671875,
-0.044677734375,
0.041748046875,
0.0634765625,
0.0615234375,
-0.08203125,
-0.05... | 38,836 | 38836 | |
The difference between Principle Components Analysis (PCA) and Factor Analysis (FA)
up vote 1 down vote favorite
3
I am trying to understand the difference between PCA and FA. Through google research, I have come to understand that PCA accounts for all variance, while FA accounts for only common variance and
ignores u... | 4 | [
-0.0023345947265625,
-0.08251953125,
-0.0400390625,
-0.04150390625,
0.031494140625,
0.027099609375,
-0.030517578125,
-0.0011444091796875,
0.1181640625,
0.040771484375,
0.0380859375,
0.11083984375,
-0.03759765625,
0.0184326171875,
-0.046142578125,
-0.055419921875,
-0.005035400390625,
... | 38,837 | 38837 | |
Are there analogous statements for the number of zeros of a section in terms of the Euler class, even when the relevant spaces are not manifolds?
up vote 8 down vote favorite
1
Let $V \rightarrow M$ be an oriented rank $k$ vector bundle over a compact orientd manifold $M$. Let $X \subset M$ be a compact topological ... | 5 | [
-0.0169677734375,
0.038330078125,
0.025390625,
-0.005645751953125,
0.06982421875,
0.035400390625,
0.0517578125,
0.02099609375,
0.02685546875,
-0.0101318359375,
0.095703125,
-0.0159912109375,
0.068359375,
-0.023681640625,
0.0185546875,
-0.033447265625,
-0.030029296875,
-0.0057678222... | 38,838 | 38838 | |
Method of Finite Differences
Date: 10/12/2000 at 14:36:30
From: Victoria Gillett
Subject: Turning a series into an equation
I was given the equation 3n^2 - 4n - 2. By plugging in 1, 2, 3, 4, 5
for n, I worked out the series:
-3, 2, 13, 30, 53.
If I were given only the series, how would I work through the seri... | 4 | [
-0.09033203125,
0.046875,
0.047119140625,
0.04248046875,
-0.068359375,
0.00811767578125,
-0.10595703125,
-0.004669189453125,
0.02880859375,
0.033935546875,
0.00139617919921875,
0.002227783203125,
-0.036865234375,
-0.028564453125,
-0.06103515625,
-0.05810546875,
-0.044921875,
-0.019... | 38,839 | 38839 | |
Building a Cone
Date: 10/28/2001 at 23:32:24
From: Gary Schwarze
Subject: Building a cone
I am trying to find a formula for building a cone. This particular
one is for a chimney flashing. It would have to be 21 inches tall with
a top opening of 8 inches and a bottom opening of 20 inches. I would
need a vertical seam... | 4 | [
0.03271484375,
0.030517578125,
0.044677734375,
0.015869140625,
-0.040283203125,
-0.0693359375,
-0.076171875,
0.1650390625,
-0.0133056640625,
0.058837890625,
-0.06201171875,
0.0003566741943359375,
-0.0164794921875,
0.07763671875,
-0.015625,
-0.005096435546875,
-0.11474609375,
-0.007... | 38,840 | 38840 | |
Motion Under Gravity
Date: 07/18/2003 at 22:30:38
From: Jen
Subject: Algebra
Motion Under Gravity: Use the equation
s = -16t squared + vt
to determine when the height of an object is 960 feet if the initial
velocity is 272 feet per second. Solve either algebraically or
graphically. Include all algebra to justif... | 4 | [
-0.0242919921875,
0.08203125,
0.0120849609375,
-0.006195068359375,
-0.034912109375,
0.00732421875,
-0.0712890625,
0.11083984375,
-0.016845703125,
0.01312255859375,
0.056884765625,
0.006011962890625,
0.00787353515625,
0.08544921875,
-0.0213623046875,
0.0194091796875,
0.057373046875,
... | 38,841 | 38841 | |
Use of everywhere divergent generating functions
up vote 8 down vote favorite
2
Generating functions are well-known to be much useful in combinatorics. But, maybe just since I am illiteral, all the applications coming in mind deal with power series, which are not just formal,
but have non-zero radius of convergence. S... | 5 | [
-0.134765625,
-0.048828125,
-0.044677734375,
0.059814453125,
-0.00970458984375,
-0.0252685546875,
-0.0284423828125,
-0.050048828125,
0.1162109375,
-0.0225830078125,
-0.00079345703125,
-0.02294921875,
-0.003173828125,
0.015380859375,
0.01129150390625,
-0.005340576171875,
0.01745605468... | 38,842 | 38842 | |
Definition of a von Neumann algebra
up vote 7 down vote favorite
2
Is there a way to equip every C*-algebra A with a functorial topology such that the canonical map A→A** is an isomorphism if and only if A is a von Neumann algebra? Here A** denotes the dual of A* in
some other functorial topology.
Of course if we res... | 4 | [
-0.021240234375,
-0.062255859375,
-0.06591796875,
-0.01177978515625,
-0.10595703125,
0.07958984375,
-0.03515625,
0.0556640625,
-0.06591796875,
-0.083984375,
0.0283203125,
-0.10986328125,
-0.032470703125,
-0.00469970703125,
0.06396484375,
0.0137939453125,
0.0172119140625,
0.04150390... | 38,843 | 38843 | |
D(f o g))(x,y) by the chain rule.
February 10th 2011, 06:32 AM #1
Member
Joined
Feb 2011
Posts
75
D(f o g))(x,y) by the chain rule.
if we have g: reals^2 --à reals ^2 and f: reals^2 --à reals ^2
And g(x,y) :=((x^2) – (y^2), 2xy) f(u,v) := (u^2) + (v^2)
How do we evaluate (D(f o g))(x,y) by the c... | 5 | [
-0.0135498046875,
0.042724609375,
0.0439453125,
-0.0098876953125,
0.029296875,
-0.0240478515625,
-0.040771484375,
-0.03857421875,
-0.00616455078125,
0.048828125,
0.061279296875,
0.068359375,
-0.0517578125,
-0.0113525390625,
-0.01068115234375,
0.050048828125,
-0.032470703125,
0.0517... | 38,844 | 38844 | |
evaluate the double integral
March 25th 2009, 03:38 PM #1
Member
Joined
Nov 2005
Posts
172
evaluate the double integral
Using polar coordinates, $\int\int_{R} \sin(x^2+y^2)dA$ evaluate the integral where R is the region $1 \leq x^2+y^2 \leq 64.$
Heres what I got sofar, I need help integrating the in... | 5 | [
-0.01043701171875,
0.033447265625,
-0.0291748046875,
-0.01068115234375,
0.01092529296875,
-0.0400390625,
-0.0634765625,
0.09912109375,
-0.07080078125,
-0.0216064453125,
-0.0712890625,
0.078125,
-0.06689453125,
0.07421875,
0.018310546875,
-0.0242919921875,
-0.022216796875,
-0.051513... | 38,845 | 38845 | |
Transforming random variable and finding PDF and Expected Value
June 6th 2010, 05:53 PM #1
Senior Member
Joined
Feb 2008
Posts
297
Transforming random variable and finding PDF and Expected Value
Suppose X is a continuous random variable with probability density $f$, and $\phi$ is a continuous increasing ... | 5 | [
-0.087890625,
-0.031982421875,
0.10791015625,
-0.01275634765625,
0.042724609375,
-0.0576171875,
0.04345703125,
0.0198974609375,
-0.0286865234375,
0.08203125,
0.020751953125,
0.10986328125,
-0.004852294921875,
0.03857421875,
-0.026123046875,
0.00982666015625,
-0.0023345947265625,
-0... | 38,846 | 38846 | |
Graphs with few induced subgraphs
up vote 17 down vote favorite
1
Which graphs have the property that the number of $i$-vertex induced subgraphs is at most $i$ for some $i < n/2$ (where $n$ is the number of vertices)?
To avoid cases I am not interested in, I want the graph to be connected and non-bipartite and its co... | 5 | [
-0.046875,
0.004150390625,
0.048095703125,
-0.006866455078125,
0.05078125,
-0.053466796875,
0.03564453125,
0.0126953125,
-0.036865234375,
0.0625,
-0.050537109375,
-0.078125,
0.041748046875,
0.0196533203125,
0.0390625,
0.1064453125,
0.1005859375,
-0.0810546875,
0.003936767578125,
... | 38,847 | 38847 | |
Cube Root Algorithm
Date: 04/04/97 at 12:37:41
From: Andrew Walters
Subject: Cube Root Algorithm
Hi, Dr. Math!
Is there an algorithm for working out the cube root of numbers without
a calculator? My teacher said there was, but told me to research the
answer.
Thanks for your help,
Andrew
Date: 04/04/97 at 15:48:... | 5 | [
-0.0576171875,
0.0284423828125,
-0.08935546875,
0.058837890625,
-0.04541015625,
-0.1455078125,
-0.0625,
0.048828125,
0.020751953125,
-0.044189453125,
0.015869140625,
0.018798828125,
0.0556640625,
0.04833984375,
0.0272216796875,
-0.018798828125,
-0.043701171875,
0.07080078125,
-0.... | 38,848 | 38848 | |
length of three sides
August 6th 2009, 06:44 PM
Confused25
length of three sides
The perimeter of a right triangle is 60 cm and the altitude perpendicular to the hypotenuse is 12 cm. What are the lengths of the three sides?
August 6th 2009, 08:13 PM
ANDS!
I'm assuming altitude means height. If that is so,... | 4 | [
-0.0155029296875,
0.1552734375,
-0.028564453125,
0.01336669921875,
-0.0184326171875,
0.0712890625,
-0.0390625,
0.037353515625,
-0.0096435546875,
-0.0048828125,
0.024169921875,
0.0478515625,
0.000492095947265625,
-0.002899169921875,
0.0079345703125,
0.045654296875,
-0.1142578125,
0.... | 38,849 | 38849 | |
Equation and parameter
Solve in C : t is real parameter Find the modulus and argument of this solutions .
Last edited by dhiab; July 31st 2009 at 10:42 PM.
$\Delta=b^2-4ac=4-\frac{4}{\cos^2t}=\frac{4(\cos^2t)}{\cos^2t}=-4\tan^2t$ $z_{1,2}=\frac{2\pm 2i\tan t}{2}=1\pm i\tan t$ $z_1=\frac{1}{\cos t}\left(\cos t+i\sin t... | 4 | [
-0.11328125,
0.048095703125,
-0.023681640625,
0.0634765625,
-0.01025390625,
-0.0172119140625,
0.02099609375,
0.1123046875,
0.046875,
-0.040771484375,
0.0771484375,
-0.10302734375,
-0.0257568359375,
0.031005859375,
0.03662109375,
-0.0390625,
-0.000606536865234375,
-0.0830078125,
0... | 38,850 | 38850 | |
System of Linear Equations?
This is from my number theory class, so I'm assuming there is some sort of number theory solution here? Thanks.
Hello, davismj! No, only algebra is needed . . . 5) $x,y,z$ are positive numbers such that: . . $\begin{array}{cccccc}x + y + xy &=& 8 & [1] \\ y + z + yz &=& 15 & [2] \\ x + z + ... | 5 | [
-0.0751953125,
0.04345703125,
-0.0189208984375,
-0.06103515625,
0.0086669921875,
-0.038330078125,
0.06787109375,
-0.0023193359375,
-0.083984375,
-0.00653076171875,
0.0299072265625,
-0.0113525390625,
0.061279296875,
0.08349609375,
-0.0126953125,
0.03271484375,
0.0078125,
-0.04125976... | 38,851 | 38851 | |
Buyers Who Must Have Two Items
March 7, 2011
An open problem on setting prices to optimize sales
Nina Balcan and Avrim Blum are top researchers in game theory, learning theory, and more generally the theory of algorithms. Nina is at Tech these days and Avrim is at CMU.
Today I want to talk about a simple, perhaps ... | 4 | [
-0.055908203125,
0.1025390625,
-0.01251220703125,
-0.010986328125,
-0.0179443359375,
0.0038909912109375,
0.12353515625,
0.05078125,
-0.0810546875,
0.05322265625,
-0.0225830078125,
-0.039794921875,
0.01007080078125,
-0.013427734375,
0.00933837890625,
0.0869140625,
0.06396484375,
-0.... | 38,852 | 38852 | |
Stability analysis of a system of 2 second order nonlinear differential equations
up vote 0 down vote favorite
1
How does one linearize and analyze such a system?
Just noticed I could edit this, so from my comment below:
I am trying to get a feel for what analysis us used beyond the introduction I have had. The equa... | 4 | [
-0.10595703125,
-0.06396484375,
-0.0010986328125,
-0.007171630859375,
-0.0703125,
-0.03369140625,
-0.0732421875,
0.056396484375,
-0.058349609375,
0.02734375,
0.0147705078125,
0.019287109375,
-0.0223388671875,
-0.09716796875,
-0.05908203125,
0.0810546875,
-0.0281982421875,
0.078125,... | 38,853 | 38853 | |
choices of connection in prequantization
up vote 1 down vote favorite
1
In the definition of pre-quantization of representation $f\to \hat{f}$, (here $\hat{f}$ is Hermitian operator)of $C^{\infty}(M)$ on $L^2(M,L,\mu)$ where $\mu$ is Hermitian form, suppose that there
exists some $(L,\mu,\Delta)$, such that $\Delta$ h... | 4 | [
-0.04736328125,
0.024658203125,
-0.00042724609375,
0.0023040771484375,
-0.00015354156494140625,
0.1337890625,
-0.0013885498046875,
-0.00848388671875,
0.00665283203125,
-0.0390625,
0.16015625,
-0.0341796875,
-0.05078125,
-0.0181884765625,
0.04052734375,
0.0247802734375,
-0.09912109375... | 38,854 | 38854 | |
parabolic-Eisenstein decomposition of cohomology of modular curve
up vote 3 down vote favorite
1
Hi,
Fix $N > 3$ and consider the modular curve $X(N)$ parametrizing elliptic curves with full level N structures. Let $\pi : E(N)\to X(N)$ be the universal elliptic curve. Then $V=R^1\pi_*\mathbf Q$
defines a local system... | 5 | [
0.007476806640625,
0.049560546875,
0.02490234375,
-0.01507568359375,
0.059814453125,
0.043212890625,
-0.00604248046875,
0.033447265625,
-0.000059604644775390625,
-0.1259765625,
0.115234375,
-0.040771484375,
-0.052734375,
-0.007537841796875,
-0.0137939453125,
-0.001068115234375,
-0.08... | 38,855 | 38855 | |
Dividing Regular Shapes
Date: 10/22/96 at 19:56:54
From: Victoria Moss
Subject: Dividing Regular Shapes
Hi,
My geometry class was given some problems and I was wondering if you
could help me with some of them. I got most of them, but some
problems I just don't understand:
1. Every vertex of a triangle is joined b... | 4 | [
0.0027008056640625,
0.03369140625,
0.037353515625,
-0.006134033203125,
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-0.0157470703125,
-0.01324462890625,
0.0174560546875,
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-0.0223388671875,
-0.0284423828125,
0.0296630859375,
0.0301513671875,
-0.0230712890625,
-0.105957... | 38,856 | 38856 | |
Math Forum Discussions
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Topic: ANN_Error Goal
Replies: 3 Last Post: Feb 10, 2013 ... | 4 | [
-0.072265625,
-0.0008087158203125,
0.01190185546875,
0.00927734375,
0.0269775390625,
0.028564453125,
-0.0264892578125,
0.060791015625,
0.012451171875,
-0.0830078125,
-0.05419921875,
-0.01025390625,
0.08349609375,
0.01300048828125,
-0.09423828125,
0.0186767578125,
0.017578125,
0.096... | 38,857 | 38857 | |
Using Variables to Solve Word Problems
Date: 05/10/98 at 16:23:47
From: Christina
Subject: using algebra( with "let" statements)
We started this "let x be the first number" stuff last week and I
still have no clue ... at all! Can you help me with this?!
For example:
Susan puts only dimes and quarters in her coin b... | 4 | [
0.0281982421875,
0.1435546875,
0.01055908203125,
-0.01226806640625,
-0.0859375,
0.048828125,
0.03564453125,
0.042236328125,
-0.0791015625,
0.0213623046875,
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0.035400390625,
0.06396484375,
0.057373046875,
0.0439453125,
-0.024658203125,
0.000026106834... | 38,858 | 38858 | |
Basic Tips on Solving for X
Date: 11/16/2000 at 22:25:13
From: Megan
Subject: How to solve for the variable "X"
The following problems have tripped me up. I can't seem to figure out
how to solve them. I've tried, several times, and had my algebra
teacher explain them, but I still can't get the answers.
3x - 11... | 4 | [
-0.0947265625,
0.004119873046875,
0.058349609375,
-0.01171875,
-0.010498046875,
0.01263427734375,
0.0159912109375,
-0.032958984375,
-0.032470703125,
0.03369140625,
0.04638671875,
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0.047119140625,
0.005035400390625,
-0.0172119140625,
-0.045654296875,
0... | 38,859 | 38859 | |
Help :(
Okay.. Can anyone explain me, how to solve this problem: $y''+4y'+4=0$.. when $y(0)=2$ and $y'(0)=0$
The Characteristic Equation is $m^2 + 4m + 4 = 0$ $(m + 2)^2 = 0$ $m = -2$. Since the solution of the characteristic equation is repeated, the solution will be of the form $y(x) = C_1e^{-2x} + C_2xe^
{-2x}$. We... | 4 | [
-0.0086669921875,
0.018310546875,
0.0830078125,
0.01361083984375,
-0.03369140625,
0.08837890625,
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0.06689453125,
0.0120849609375,
0.00823974609375,
0.154296875,
-0.083984375,
0.041748046875,
-0.055908203125,
-0.029296875,
0.05078125,
-0.01416015625,
0.000448226928710... | 38,860 | 38860 | |
Hearing the 17 planar symmetry groups
up vote 13 down vote favorite
2
Though I'm sure it's really hard to work out for myself, does anyone know a reference for the spectra of the Laplacian on the 17 flat compact orbifolds that underlie the 17 planar symmetry groups.
I'm thinking Neumann boundary conditions to model r... | 4 | [
-0.138671875,
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0.0439453125,
-0.0546875,
-0.038818359375,
-0.0145874... | 38,861 | 38861 | |
integration (area under a curve)
February 18th 2010, 07:56 AM #1
Member
Joined
Sep 2009
Posts
98
integration (area under a curve)
Hello guys! Im having trouble with this question i would appreciate the help.
curve y=( 2x-3)^3
a) find the x coordinates of the two points on the curve which have g... | 5 | [
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-0.0556640625,
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-0.056884765625,
0.07421875,
0.06640625,
-0.053955078125,
-0.06298828125... | 38,862 | 38862 | |
Vector Spaces and Basis
November 29th 2009, 10:25 PM #1
Junior Member
Joined
May 2008
Posts
70
Vector Spaces and Basis
Let S = {v_1, v_2, ..., v_n} be a finite set of vectors in a vector space V. Show that S is a basis for V iff every member of V can be written uniquely as a linear combination of the vec... | 4 | [
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-0.0167236328125,
-0.0281982421875,
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-0.027587890625,
0... | 38,863 | 38863 | |
Find an equation of the plane..
March 20th 2012, 07:29 PM
linalg123
Find an equation of the plane..
Find an equation of the plane through the origin and parallel to the plane 3x + 2y + 1z = 4.
Since they are parallel, I tried to find the normal to 3x + 2y + 1z = 4 but i forget how.
Then use N . <x,y,z>... | 5 | [
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-0.040771484375,
-0.002899169921875,
-0.0... | 38,864 | 38864 | |
integration question
January 21st 2007, 07:19 PM #1
integration question
Evaluate the integral (in book, this is the "Integration by parts" section):
$\int x\cos(5x)dx$
Something like...
$x(\frac{1}{5})\sin5x - \int\frac{1}{5}\sin(5x)dx$
and then...? Or am I way off?
Wait, I think I got i... | 5 | [
-0.08056640625,
-0.007171630859375,
0.10498046875,
0.0230712890625,
0.0166015625,
0.01611328125,
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-0.0322265625,
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0.03955078125,
0.02978515625,
-0.02587890625,
-0.01434326171875,
0.03955078125,
-0.03857421875,
-0.04296875,
0.013916015625,
0.013366... | 38,865 | 38865 | |
Temperature Problem
January 30th 2011, 02:10 PM
VonNemo19
Temperature Problem
Hi. I'm doing my homework problem set and I came across this one:
A small metal bar, whose initial temperature is $20^\circ{C}$, is dropped into a large container of boiling water. How long will it take the bar to reach $90^\circ{... | 5 | [
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0.00396728515625,
-0.... | 38,866 | 38866 | |
Number Theory - LCM Problem
June 3rd 2014, 08:29 AM #1
MHF Contributor
Joined
Nov 2010
Posts
1,790
Thanks
693
Number Theory - LCM Problem
Find all triples $(a,b,c)$ of integers such that $\text{LCM}(a,b,c) = a+b+c$. Note: permutations of $(a,b,c)$ such as $(a,c,b), (b,a,c), (b,c,a), (c,a,b)$ and $(c,... | 5 | [
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-0.07275390625,
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0.00958251953125,
0.0186767578125,
0.08154296875,
-0.025390625,
... | 38,867 | 38867 | |
C
Chi-squared Statistic
The Chi-squared Statistic is a measure of how similar two categorical probability distributions are. If the two distributions are identical, the chi-squared statistic is 0, if the distributions are
very different, some higher number will result. The formula for the chi-squared statistic is:
wh... | 5 | [
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-0.015625,
-0.060791015625,
0.0380859375,
-0.06298828125,
-0.000194549560546875,
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0.039306640625,
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0.0181884765625,
-0.01904296875,
-0.11083984375,
-0.00701904296875,
0.0078... | 38,868 | 38868 | |
Rectangle Needed To Make Cone
Date: 9/5/96 at 8:34:50
From: Dean Thompson
Subject: Rectangle Needed To Make Cone
This is practical problem. I want to make a lampshade (actually many
of them). It is made by rolling a piece of paper into a non-closed
cone shape. The base is wider than the top.
Given: the length of a ... | 5 | [
-0.0255126953125,
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0.01025390625,
-0.1259765625,
0.05444335... | 38,869 | 38869 | |
Homotopy Loop problem
May 15th 2011, 05:54 AM
EinStone
Homotopy Loop problem
Hi, the following is also known as the picture-nail problem.
Consider X = the euclidean plane with N holes. Explain how to construct a loop L in X that is not null-homotopic in X, but if you remove any hole in X, the loop becomes n... | 5 | [
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0.0625,
-0.0274658203125,
0.01123046875,
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0.03955078125,
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-0.033447265625,
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0.025146484375,
-0.1015625,
-0.00714111328... | 38,870 | 38870 | |
Chi-Square Variance Ratio Proof
May 13th 2010, 06:17 AM #1
Newbie
Joined
May 2010
Posts
3
Chi-Square Variance Ratio Proof
How would you go about proving that
[ ( n - 1 ) * s^2 ] / σ^2
has a Chi-Square Distribution?
Hello,
Some information necessary about s^2
Anyway, I can just gu... | 5 | [
0.002593994140625,
-0.0380859375,
0.0634765625,
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-0.0... | 38,871 | 38871 | |
tangent cohesive (∞,1)-topos
Context
Cohesive $\infty$-Toposes
Backround
Definition
Presentation over a site
Structures in a cohesive $(\infty,1)$-topos
structures in a cohesive (∞,1)-topos
Structures with infinitesimal cohesion
infinitesimal cohesion?
Models
Stable Homotopy theory
Ingredients
Contents
Con... | 4 | [
-0.032958984375,
-0.052734375,
-0.035400390625,
-0.0341796875,
0.04443359375,
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-0.01397705078125,
0.04052734375,
0.021484375,
0.042724609375,
-0.036132812... | 38,872 | 38872 | |
divergence of {an} - help please
November 27th 2009, 02:58 PM #1
Newbie
Joined
Nov 2009
Posts
19
divergence of {an} - help please
Hey people.
I have a series {an}.
I know that for every positive R > 0 exists an n so |an| >= R, where n is a natural number.
Now i have to show that {an} is div... | 5 | [
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-0.051025390625,
-0.007293701171875,
0.045654296... | 38,873 | 38873 | |
Proof about Euler's φ-function
September 28th 2010, 04:46 AM #1
Junior Member
Joined
Apr 2010
Posts
58
Proof about Euler's φ-function
Prove that if m,n are positive integers with (m,n)=1, then φ(m.n) = φ(m)φ(n).
I was told to use the Chinese Remainder Theorem to show that wach pair of elements [a]n ... | 4 | [
-0.0771484375,
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0.0230712890625,
-0.01470947265625,
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0.059814453125,
-0.009765625,
-0.045654296875,
0.044921875,
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0.099609375,
0.02392578125,
-0.0244140625,
0.00762939453125,
-0.009765625,
-0.02880859375... | 38,874 | 38874 | |
Integration by Partial Fraction Decomposition
Date: 06/24/99 at 05:20:12
From: Robert
Subject: Integral problem
I am having problems doing this kind of problem:
integral of dx/(x^4+x^2)
I tried factoring an x^2 out, but this doesn't seem to help. Also,
integral of xdx/(x^2+2x+1)
I tried doing this by ... | 5 | [
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0.08642578125,
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0.057861328125,
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0.06591796875,
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-0.0186767578125,
0.0732421875,
0.0488281... | 38,875 | 38875 | |
The hypercube: $|A {\stackrel2+} E| \ge |A|$?
up vote 14 down vote favorite
7
I have a good motivation to ask the question below, but since the post is already a little long, and the problem looks rather natural and appealing (well, to me, at least), I'd rather go straight to
the point.
Let $n\ge 3$ be an integer. If... | 5 | [
0.029296875,
0.0576171875,
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-0.003326416015625,
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-0.0208740234375,
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-0.0625,
-0.046142578125,
0.0238037109375,
0.041015625,
-0.029663085937... | 38,876 | 38876 | |
equations of circles trig
December 16th 2008, 06:21 PM #1
Junior Member
Joined
Sep 2008
Posts
61
equations of circles trig
I need to know how to solve a problem like this on my final tomorrow and I don't know how, please help!
So there's a ferris wheel. The bottom is say 5 feet off the ground. It... | 4 | [
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0.045166015625,
-0.04248046875,
-0.044921875,
0.029052734375,
0.043701171875,
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0.00701904296875,
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0.07080078125,
0.006256103515625,
0.05859375,
-0.06591796875,
0.06787109375... | 38,877 | 38877 | |
Mould Filling Simulation in High Pressure Die Casting by Meshless
WCCM V
Fifth World Con... | 4 | [
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0.0390625,
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-0.03173828125,
-0.08935546875,
-0.023193359375,
-... | 38,878 | 38878 | |
Ring of continuous functions, reference request.
up vote 5 down vote favorite
3
I am looking for a reference for the following facts in functional analysis and topology. (If these "facts" are not true, I suppose I'm looking for the closest approximation which is true.)
Let $X$ be a locally compact Hausdorff topologic... | 4 | [
-0.09228515625,
-0.05078125,
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0.00927734375,
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-0.035400390625,
-0.06591796875,
0.034423828125,
0.0263671875,
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0.01080322265625,
0.050537109375,
0.048583984375,
0.01263427734375,
0.03662109375,
0.0322265... | 38,879 | 38879 | |
center of fundamental group of finite volume-hyperbolic orbifold
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is center of a fundamental group of finite volume-hyperbolic n-orbifold trivial? Is there a good reference ... | 5 | [
-0.008056640625,
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0.037353515625,
0.07666015625,
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0.07080078125,
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-0.059814453125,
0.00110626220703125,
-0.07666015625,
-0.047607421875,
... | 38,880 | 38880 | |
Laplace transform
December 7th 2010, 09:36 AM
kamykazee
Laplace transform
Right so, here is what i would like to find out:
L( $\ e^{ax}$cosbx) , where L(f(x)) means the Laplace Transform of that function; i is the imaginary unit.
That would equal to $\int_{0}^{\infty}\ e^{ax}*\ e^{-px}*cosbx\,dx$ = $\i... | 5 | [
-0.045166015625,
0.034912109375,
0.015625,
-0.055908203125,
0.08544921875,
0.06591796875,
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0.03662109375,
0.007232666015625,
0.05078125,
0.08154296875,
-0.0322265625,
-0.02001953125,
0.0242919921875,
0.0908203125,
-0.058837890625,
-0.0289306640625,
-0.0089111328125... | 38,881 | 38881 | |
When do commuting Hamiltonian flows have commuting generators?
up vote 4 down vote favorite
3
Let $(P,\Omega)$ be a symplectic manifold, and let $[\cdot,\cdot]$ be the natural Poisson bracket. Let $\varphi^h(a)$ be the Hamiltonian flow generated by the smooth function $h:P\rightarrow\mathbb
{R}$, and let $\varphi^g(b)... | 4 | [
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0.0556640625,
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0.03515625,
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-0.0216064453125,
0.09716796875,
0.1123046875,
-0.0966796875,
0.049560546875,... | 38,882 | 38882 | |
tough question
September 3rd 2009, 08:35 AM
mark
tough question
this question is particularly tough as don't know how to draw boxes and label them etc but i think it might be able to be done without seeing the boxes, here it is-
a pen is built onto an existing rectangular building where AF is 10 units and F... | 4 | [
0.07080078125,
0.08251953125,
0.004852294921875,
-0.0166015625,
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... | 38,883 | 38883 | |
Math Help
June 5th 2009, 05:02 PM #1
Super Member
Joined
Jun 2008
Posts
829
Area
A circumference located in the plan $XOY$ have center $C(0,0,0)$ and radius $r > 0$. Determine a parameter for the cylinder formed by all straights that pass by circumference and are parallel to
the vector $V(3,0,4)$. C... | 5 | [
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0.058... | 38,884 | 38884 | |
[SOLVED] Expectation of a Conditional Distribution
November 25th 2008, 08:06 PM
akolman
[SOLVED] Expectation of a Conditional Distribution
I am stuck in this problem
Let X and Y have the joint pdf $f(x,y)=1, -x<y<x, 0<x<1,$ zero elsewhere. Show that, on the set of positive probability density, the graph $E(... | 5 | [
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... | 38,885 | 38885 | |
compound interest
August 26th 2012, 01:45 PM
mathsgirl123431
compound interest
Compound interest is interest paid on an amount and on the interest already received on that amount. You can solve compound interest questions using the formula :
A = P ( 1 + R divided by 100 ) to the power of n
where P is t... | 4 | [
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Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian.
up vote 0 down vote favorite
Suppose $E[X]=E[Y]=0$, and $E[X^2]=E[Y^2]=1$. Can you show that $E[X^2Y^2] = 1 + 2\operatorname{cov}(X,Y)^2$? I am not even sure if this expression is correct, I found it in a geostatistics pa... | 5 | [
0.10107421875,
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-0.055419921875,
-0.043701171... | 38,887 | 38887 | |
Number of permutations with a specified number of fixed points
up vote 5 down vote favorite
1
Let F(k,n) be the number of permutations of an n-element set that keep k elements fixed.
We know:
1. F(n,n) = 1
2. F(n-1,n) = 0
3. F(n-2,n) = $\binom {n} {2}$
...
4. F(0,n) = n! $\cdot \sum_{k=0}^n \frac {(-1)^k}{... | 5 | [
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0... | 38,888 | 38888 | |
Velocity and Acceleration Vectors in Matlab
In this activity we will introduce Matlab's quiver command, which will assist in creating visualizations that help develop a deeper understanding of velocity and acceleration in the plane and
three-space.
Motion on a Line
Recall from your first calculus course (differentia... | 5 | [
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0.032958984375,
-0.06884765625,
0.0157... | 38,889 | 38889 | |
Degree of sum of algebraic numbers
up vote 42 down vote favorite
20
This is an elementary question (coming from an undergraduate student) about algebraic numbers, to which I don't have a complete answer.
Let $a$ and $b$ be algebraic numbers, with respective degrees $m$ and $n$. Suppose $m$ and $n$ are coprime. Does t... | 5 | [
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-0.021728515625,
0... | 38,890 | 38890 | |
Points and DVR's
up vote 6 down vote favorite
11
In the familiar case of (smooth projective) curves over an algebraically closed fields, (closed) points correspond to DVR's.
What if we have a non-singular projective curve over a non-algebraically closed field? The closed points will certainly induce DVR's, but would ... | 5 | [
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-0.04296875,... | 38,891 | 38891 | |
Math Forums @ Math Goodies - Exponential problemtesting headertesting left navtesting footer
Math Goodies is a free math help portal for students, teachers, and parents.
... | 4 | [
-0.0966796875,
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0.06640625,
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-0.0... | 38,892 | 38892 | |
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Topic: ARABIC NUMERICALS AND THE SPAN OF NUMBERS, A RE-ED... | 4 | [
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0.08203125,
-0.00102996826171875,
-0.04443359375,
-0.057373046875,
-0.08740234375,... | 38,893 | 38893 | |
Induction Proofs for Sequences
April 30th 2008, 05:46 PM #1
Newbie
Joined
Apr 2008
Posts
1
Here's the problem I have to prove:
Every sequence in a totally ordered set has a monotonic subsequence.
We have to use induction to prove this statement, but I am not too good and writing induction proofs a... | 5 | [
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0.0177001953125,
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-0.0498046875,
0.09912109375,
0.087890625,
0.0483... | 38,894 | 38894 | |
Representability on the big étale site and base change
up vote 3 down vote favorite
I am reading M. Artin's treatment of the proper base change theorem for étale cohomology in his "Théorèms de représentabilité pur les espaces algébriques", and I have trouble understanding the
following remark on page 222:
If $f:X\rig... | 4 | [
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0.0143432... | 38,895 | 38895 | |
Compressing a Spring - Hooke's Law
Date: 08/09/99 at 20:34:08
From: Frank Cozzone
Subject: Hooke's law
Assume that a force of 6 N is required to compress a spring from a
natural length of 4 m to a length of 3.5 m. Find the work required to
compress the spring from its natural length to a length of 2 m.
I have never... | 5 | [
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0.0... | 38,896 | 38896 | |
Points Where a Parametric Equation Crosses Itself
Date: 10/12/2001 at 12:59:21
From: Jessica Stover
Subject: Find all points where a parametric equation crosses itself
I am supposed to find all the points where the function crosses
itself of the parametric equation: x=t(9-t^2) and y=(t^2-1)(t^2-9) on
the interval -4... | 5 | [
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-0.066... | 38,897 | 38897 | |
Binomial expansion with different binomials
October 2nd 2012, 01:57 AM
grillage
Binomial expansion with different binomials
I have a set of questions like the following:
For the function $\left ( 1+x \right )\left ( 1-x \right )^{9}$, find the term containing $x^{r}$ and hence express the expansion in sigma... | 5 | [
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... | 38,898 | 38898 | |
Small index subgroups of SL(3,Z)
up vote 15 down vote favorite
4
I would like to know the smallest index subgroups of SL(3,Z).
The smallest I could find has even entries $a_{3,1}$ and $a_{3,2}$, along the bottom row. I could not figure out whether there are subgroups of index 2 or 3.
A search found lots of informati... | 5 | [
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0.02... | 38,899 | 38899 |