content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Connection between the Hodge laplacian and the Laplace operator
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let M a riemannian manifold. How can I show that the hodge-laplace-operator of a function $f$ is the negativ... | 5 | [
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Equation with radical
December 9th 2009, 04:26 PM #1
Equation with radical
here's another i can't solve.
t - 5√t - 14 = 0
i added 14 to both sides and then squared them. then i minused 196 and am left with t^2 + 15t -196 = 0
this doesn't work, what have i done wrong?
Last edited by mr fantasti... | 4 | [
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-0.06347... | 41,101 | 41101 | |
EVE/DID = .TALKTALKTALK...
Date: 11/21/2000 at 16:23:50
From: Stuart
Subject: Recurring decimals
The problem is
eve/did = .talktalktalk...
Each letter corresponds to a different number, and the fraction
eve/did is in lowest form.
So far, this is what I have done:
talk/9999 = .talktalktalk... = eve/did
... | 5 | [
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-0.00537109375,
... | 41,102 | 41102 | |
quadratic equation
September 30th 2009, 10:12 PM #1
Junior Member
Joined
Aug 2009
Posts
31
quadratic equation
Solve by factorizing
6x^2 -x -12=0
Apparently it equals to zero, but im not sure how they got it, so could someone help please????
Do you know how to factorise 6x^2 - x - 12? See W... | 4 | [
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Cognitive Bias: Base-Rate Fallacy
Image: MiG 19. Public Domain.
The base-rate fallacy happens when available statistical data is ignored in favor of specific data to make a probability judgment.
The C.I.A. gives this example to illustrate the problem:
During the Vietnam War, a fighter plane made a non-fatal s... | 4 | [
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Transitve relation help
November 24th 2009, 11:54 AM #1
Transitve relation help
I need to prove the intermediate value theorem using the following lemma:
Lemma: Let be a transitive relation on the interval . If each has a neighborhood such that whenever and , then .
So, the main goal is to actau... | 4 | [
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0.041259765625,
... | 41,105 | 41105 | |
A trigonmetric integral. Please help
May 26th 2007, 02:46 AM #1
Newbie
Joined
May 2007
Posts
21
A trigonmetric integral. Please help
Hey if anyone could solve this integral for me it would be much appreciated:
Note: I have only done 3 unit mathematics (Australian HSC) and I don't start Integral calcu... | 5 | [
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0.01... | 41,106 | 41106 | |
2nd order DE (non linear I think but homogeneous)
August 1st 2010, 04:48 PM #1
2nd order DE (non linear I think but homogeneous)
Find the general solution of $x^2y''-5xy'+9y=0$. Hint: Once known a solution $y_1(x)$, another solution is given by $y(x)=v(x)y_1(x)$, with $v(x)$ to determinate.
Attempt: I just do... | 5 | [
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triangle problem
let t(n) denote the number of integer sided triangle with distinct sides chosen from(1,2,3...n) then t(20)-t(19) equals
I'm no longer sure I know what you're asking...or that you know what you're asking! OK, answer this: using n=3, thus (1,2,3), how many integer sided triangles can you construct? And ... | 4 | [
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What is the exact value of sin(pi/12)
What is the exact value of sin(pi/12) Explain how you get it
Last edited by mr fantastic; August 12th 2009 at 04:30 PM. Reason: Put post title in main post as well.
Explain how one gets what? There is no question in your post. Are you maybe referring to the contents of your subje... | 4 | [
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0.027954101... | 41,109 | 41109 | |
Size of the smallest group not satisfying an identity.
up vote 30 down vote favorite
10
Given $F = F(x_0,\ldots,x_n)$ the free group on $n+1$ generators. Define a function $M: F\rightarrow \mathbb{N}$ such that $F(w) = l$, if the smallest group in which $w$ is not an identity is of size
$l$.
My question is what the f... | 5 | [
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counting measure space inclusion
May 9th 2010, 01:59 PM #1
Newbie
Joined
Mar 2010
From
Melbourne
Posts
20
counting measure space inclusion
How would you prove that for $1\leq p<s<\infty$
$L^{p}(\mathbb{N},\cal{S},\mu) \subseteq$$L^{s}(\mathbb{N},\cal{S},\mu)$
where $\cal{S}$ is a sigma alge... | 5 | [
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-0.005828857421875,... | 41,111 | 41111 | |
Does anybody remember this equation?
April 28th 2009, 05:51 PM #1
Newbie
Joined
Apr 2009
Posts
3
Does anybody remember this equation?
It's a equation for finding all tangent lines to a circle when the point isn't on the circle itself. I think I remember that it was
d=m(x)+b-(y)/√1+m^2
But I can... | 4 | [
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0.... | 41,112 | 41112 | |
The Day My Brain Talked to Me, or How I Learned to Think Like a Logarithm
Honestly, what with my withering attention span and emotional ups and downs, it’s amazing that I manage to get anything done. But I do nevertheless, and this is what I managed to get done on the
afternoon of this past Valentine’s Day. I needed to... | 4 | [
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A Relaying Algorithm for Multihop TDMA TDD Networks using
A Relaying Algorithm for Multihop TDMA TDD Networks using Diversity
S. Hares, H. Yanikomeroglu, and B. Hashem
Broadband Communications and Wireless Sys... | 4 | [
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Interpolation of derivatives
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
If $U$ is an open interval of $\mathbb{R}$ and $f : U \to \mathbb{R}$ is an $L^2(U)$ function with second derivative $f'' \in L^2(U)$ (in the we... | 5 | [
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Double Integrals
February 28th 2007, 04:36 PM
macabre
Double Integrals
Ok so i'm rather stuck on this one question, help would be much appreciated:
I have used the capital S as an integral sign with the values above and below it as the limits of the integration, also please ignore the underscores, i put th... | 4 | [
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L-1 space of integrable functions
November 4th 2008, 11:47 AM
rogerpodger
L-1 space of integrable functions
If f is in L1 and delta > 0, then the L1 norm of f(delta*x)-f(x) goes to zero as delta goes to 1. I have been studying my text for two hours and still really don't understand it. Any thoughts?
By the ... | 5 | [
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Limits (Squeeze)
January 26th 2010, 03:04 PM #1
Member
Joined
Apr 2009
Posts
96
Limits (Squeeze)
I don't seem to understand the following problem:
From all the problems that I've analyzed and completed, they all involve numbers, not just letters/variables.
So, in other words, I'm completely l... | 4 | [
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-0.0417480468... | 41,118 | 41118 | |
please help with vectors
December 3rd 2006, 06:20 AM #1
Newbie
Joined
Oct 2006
Posts
2
please help with vectors
1. A particle moves on a given straight line with a constant speed v. at a certain time it is at point P on its straight line path. O is a fixed point. Show that vectorOP × vectorv is independe... | 4 | [
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Michael J. Swart
So every year, the adults in my family pick names to do a gift exchange. I guess lots of people do this and they call it Secret Santa.
In my family there are five couples that participate and we draw names from a hat. Inevitably, someone will draw their own name or the name of their spouse and everyon... | 5 | [
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am
All the compound data objects we have used so far were constructed ultimately from numbers. In this section we extend the representational capability of our language by introducing the ability to
work with arbitrary symbols as data.
If we can form compound data using symbols, we can have lists such as
(a b c d)
(2... | 5 | [
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And Clt
E CON 310. TA S ECTION - W EEK 9
´
prepared by S ANG Y OON (T IM ) L EE and I GNACIO M ONZ ON
I LLN and CLT
For a sequence of iid random variables { Xi }in=1 with mean µ and variance σ2 , the sum Sn and
... | 4 | [
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Trigonometric semialgebraic conditions for two floors to be unequal [edited]
up vote 1 down vote favorite
EDIT: Since posting my original question I have simplified the problem to finding a sufficient condition for $\lfloor \frac{a}{\phi}\rfloor \neq \lfloor \frac{b}{\phi}\rfloor$ which is trigonometric
semialgebraic ... | 4 | [
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0.047607421875,
-0.06... | 41,123 | 41123 | |
Discrete Math Probability Proving.
September 25th 2011, 02:11 PM #1
Newbie
Joined
Sep 2011
Posts
15
Discrete Math Probability Proving.
Suppose that
a) P(A ∩ B ∩ C) = P(A) P(B) P(C)
P(A*∩ B ∩ C) = P(A*) P(B) P(C)
P(A ∩ B ̅∩ C) = P(A) P(B*) P(C)
P(A ∩ B ∩ C) = P(A) P(B) P(C*)
Prove tha... | 4 | [
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0.0317382812... | 41,124 | 41124 | |
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Topic: Curvature on a curve and circle
Replies: 6 Last Po... | 5 | [
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Non degenerate representations for C*-algebras
up vote 4 down vote favorite
Hi!
While studying C*-algebras I found 2 different definitions for non degenerate representations (-homomorphisms $\pi:\mathcal{A} \rightarrow B(\mathcal{h})$ where $\mathcal{A}$ is a C-algebra and $B(\
mathcal{h})$ is the space of bounded li... | 5 | [
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-0.0405... | 41,126 | 41126 | |
On inifinite product of vector spaces
March 24th 2011, 06:43 PM #1
On inifinite product of vector spaces
Dear MHF members,
I have the following problem.
Problem. For a family of Banach spaces $\{A_{n}\}_{n\in\mathbb{N}}$, let $A_{\Pi}:=\prod_{k\in\mathbb{N}}A_{k}=\big\{a=(a_{1 },a_{2},\ldots,a_{n},\ldot... | 5 | [
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-0.0062255... | 41,127 | 41127 | |
simple set example
March 11th 2013, 06:37 AM
monsterkane
simple set example
I can't figure out why the correct anwer is a)
Each of 35 students learns at least one of these languages: English, German, French.
5 students study all of these languages.
20 students study English.
15 students study Ge... | 4 | [
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0.04345703125,
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-0.0... | 41,128 | 41128 | |
P-adic arithmetic
I've been having a pretty rough month. The day after thanksgiving,
I was diagnosed with shingles. Shingles is painful - very, very painful. Just the friction of clothing brushing over the shingles when I move caused so much pain that I spent weeks being as immobile
as possible.
Needless to say, this... | 5 | [
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A first order DE
Hi,
I have the DE $\frac{dy}{dt} +\frac{dy}{dt}t^2 = e^{-y}$
If you take the reciprocal of both sides, you end up with:
$\frac{dt}{dy}+\frac{dt}{dy}t^{-2} = e^y$
multiply by dy: $dt + t^-2dt = e^y dy$
But when im then integrating this, i get
$t -\frac{1}{3}t^{-3} = e^y$
... | 4 | [
-0.064453125,
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0.01953125,
-0.... | 41,130 | 41130 | |
Proposal: A Video "Periodic Table" of Elementary Particles
Proposal: A Video “Periodic Table” of Elementary Particles
January 6, 2009 at 8:40 am 3 comments
Yesterday, ZapperZ (Physics and Physicists) posted a note about a Period Table of Videos. Check it out – it is a lot of fun!
So maybe the particle physics commun... | 4 | [
-0.12890625,
-0.08056640625,
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0.0230712890625,
0.07568359375,
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0.091796875,
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0.01397705078125,
0.01446533203125,
0.04... | 41,131 | 41131 | |
Falling from HeavenFalling from Heaven
Nine dayes they fell; confounded Chaos roard,
And felt tenfold confusion in thir fall
Through his wilde Anarchie, so huge a rout
Incumberd him with ruin: Hell at last
Yawning receavd them whole, and on them clos’d,
Hell thir fit habitation fraught with fire
Unquenchable, the house... | 4 | [
0.0390625,
0.02978515625,
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0.059814453125,
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-0.06591796875,
-0.057861328125,
0.0285... | 41,132 | 41132 | |
Show that the sequence converges to L
Suppose that $a_n --> L$and $b_n --> L$. Show that the sequence $a_1,b_1,a_2,b_2,a_3,b_3$,... converges to L.
Let $\epsilon > 0\Longrightarrow \exists\,N_1,\,N_2\in\mathbb{N}\,\,\,s.t.\,\,\,|a_ n-L|<\epsilon\,\,\forall\,n>N_1\,\,\,and\,\,\,|b_n-L|<\epsilon\,\,\forall\,n>N_2$ . Let... | 4 | [
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0.055908203125,
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0.035888671875,
... | 41,133 | 41133 | |
Triple Integral - Simple one
May 17th 2010, 10:37 AM
WannaBe
Triple Integral - Simple one
Hey there, I'll be delighted to get some help in the following question:
Let A be the region in space bouded by the next planes:
$x=1$, $x=2$, $x-y+1=0$,
$x-2y=2$, $x+y-z=0$ , $z=0$...
Write the integral $\... | 5 | [
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0.03564453125,
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0.004730224609375,
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0.050537109375,
0.018798828125,
-0.01507568359375,
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-0.02294921875,
-0.062255859... | 41,134 | 41134 | |
The Impossibility of Integrating x^x
Date: 08/07/98 at 09:47:58
From: Nick Black
Subject: Symbolic integration of x^x...impossible?
Hello. I am a 17 year-old at Walton High School, and last year I took
AP Calculus BC (covering differential, integral, and series-based
calculus). I found it an enjoyable and intriguing... | 4 | [
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0.019165039062... | 41,135 | 41135 | |
Matrices: Problem
October 9th 2012, 09:44 PM
seananigans
Matrices: Problem
Hello All,
I have been having much difficulty understanding matrices and a group of us have become desperate to find some comprehension of this problem. We have come up with an answer for c, but still not
sure if it's correct. If... | 5 | [
-0.0625,
0.0277099609375,
-0.09130859375,
-0.004547119140625,
-0.0498046875,
0.040283203125,
0.0084228515625,
-0.03271484375,
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0.0341796875,
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0.0103759765625,
-0.08056640625,
0.044921875,
-0.026123046875,
-0.0086059570312... | 41,136 | 41136 | |
Slide 1 - Thames Valley District School Board
4.5 Probability using Tree
Diagrams & Outcome Tables
Tree diagrams and outcome tables
provide strategies to list outcomes of
particular events
Allow tracking of sequences to compute
probability of a particular comp... | 4 | [
0.06689453125,
0.035400390625,
0.036376953125,
-0.057373046875,
-0.042236328125,
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0.010009765625,
-0.0223388671875,
-0.002227783203125,
0.107421875,
-0.05419921875,... | 41,137 | 41137 | |
The Adjoint of a Matrix
Date: 10/21/98 at 14:22:30
From: Cliff Free
Subject: Adjoint of a Matrix
Given the adjoint of matrix A, how would you determine matrix A?
For example, if:
| 4 5 6 |
Adj(A) = | 7 8 -3 |
| 1 2 3 |
then what is A?
Date: 10/21/98 at 15:43:04
From: Doctor Rob
Subj... | 5 | [
-0.0654296875,
-0.00537109375,
-0.019775390625,
-0.04833984375,
-0.031982421875,
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0.00640869140625,
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-0.0341796875,
-0.01446533203125,
-0.033935546875,
0... | 41,138 | 41138 | |
One son on Tuesday: a probabilistic puzzle
John Baez
, a savior of the Earth, discusses an interesting puzzle that was sent to him by
Greg Egan
:
A few months ago I read about a very simple but fun probability puzzle. Someone tells you:
“I have two children. At least one is a boy born on a Tuesday. [And if... | 5 | [
-0.04248046875,
0.036376953125,
0.0079345703125,
-0.0205078125,
0.026123046875,
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0.03662109375,
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-0.001953125,
0.0380859375,
0.022705078125,
-0.0206298828125,
-0.0417480... | 41,139 | 41139 | |
Math Forum Discussions
JT
Posts: 1,148
Registered: 4/7/12
Re: 0.9999... = 1 that means mathematics ends in contradiction
Posted: Mar 15, 2013 11:16 AM
On 15 mar, 03:09, Transfer Principle <david.l.wal...@lausd.net> wrote:
> On Mar 13, 1:25 pm, JT <jonas.thornv...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>
> > On 13 mar, 19:... | 4 | [
-0.05419921875,
0.00958251953125,
0.0244140625,
-0.01513671875,
-0.014404296875,
-0.02392578125,
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0.05224609375,
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0.0201416015625,
0.0003833770751953125,
-0.06689453125,
-0.0869140625,
-0.09814... | 41,140 | 41140 | |
Asymptotes of Rational Functions
Top
Sub Ratio of two polynomial functions is defined as a rational function where a polynomial is a finite length expression made up of basic mathematical operations (addition, subtraction,
Topics multiplication and non-negative exponents) which contains variables and constants. A f... | 5 | [
-0.11279296875,
-0.040771484375,
-0.10546875,
0.04833984375,
-0.0050048828125,
0.02490234375,
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-0.05712890625,
0.1103515625,
-0.07275390625,
0.0478515625,
0.00830078125,
0.048828125,
0.0240478515625,
0.022705078125,
0.02685546875,
-0.0179443359375,
-0.01977539062... | 41,141 | 41141 | |
Progression Prolem............
If one Arithmetic Mean (A) and two Geometric Means (p,q) are inserted between two given numbers, show that ${(p^2)/q}+{(q^2)/p}=2A$
Call the original numbers x and y. There arithmetic mean is $A= \frac{x+ y}{2}$. Strictly speaking, two numbers have only one geometric mean but I think tha... | 4 | [
0.0120849609375,
-0.01123046875,
-0.000606536865234375,
-0.0247802734375,
-0.10498046875,
0.0137939453125,
0.00074005126953125,
-0.03271484375,
0.126953125,
-0.0361328125,
0.022705078125,
0.052001953125,
0.078125,
0.12255859375,
0.05126953125,
0.01434326171875,
-0.080078125,
0.0649... | 41,142 | 41142 | |
Cosine Proof
November 1st 2006, 06:50 PM
harold
Cosine Proof
I have to answer the following and support it with a full proof.
Is cos(5°) rational? (Given hint: show that if cos(x) is rational, then cos(3x) is rational).
November 1st 2006, 06:59 PM
ThePerfectHacker
Quote:
$\cos (3x)=\cos (x+2x)$... | 4 | [
-0.0712890625,
0.056640625,
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0.045166015625,
0.0439453125,
0.059326171875,
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-0.0751953125,
-0.001556396484375,
-0.01904296... | 41,143 | 41143 | |
"Uncertainty principle" for self-adjoint operators in a finite von Neumann algebra
up vote 4 down vote favorite
3
Let $M\subset B(\mathcal H)$ be a finite von Neumann algebra of bounded operators on a Hilbert space $\mathcal H$., let $P\in M$ be a self-adjoint operator with a pure-point spectrum (for example a
project... | 5 | [
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0.00115966796875,
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-0.035400390625,
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0.1162109375,
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0.0751953125,
-0.026611328125,
0.0166015625,
-0.0111083984375,
0.04052734375,
-0.0... | 41,144 | 41144 | |
Calendar Puzzle
Date: 09/09/2001 at 23:56:35
From: Bob Stoddard
Subject: Puzzle/trick
My teacher showed us a calendar with five weeks S M T W T F S
in it, nothing special, he asked us to choose 1 2 3 4
only one day out of each week and write what 5 6 7 8 9 10 11
the date was of each da... | 4 | [
0.00933837890625,
0.08642578125,
0.036865234375,
0.0211181640625,
-0.044921875,
0.06591796875,
-0.02978515625,
0.00421142578125,
-0.06298828125,
0.017578125,
-0.051513671875,
0.0098876953125,
-0.0157470703125,
-0.01031494140625,
-0.045654296875,
-0.0986328125,
-0.1044921875,
-0.023... | 41,145 | 41145 | |
Would the following conjectures imply $\lim\inf_{n\to\infty}p_{n+k}-p_{n}=O(k\log k)$?
up vote 8 down vote favorite
1
Assume Goldbach's conjecture. Then for every $n\ge 2$ there exists at least one non-negative integer $r\le n-2$ such that both $n+r$ and $n-r$ are primes. Let's write $r_{0}(n):=\inf\{r\le n-2,
(n-r,n+... | 4 | [
-0.0233154296875,
-0.045654296875,
-0.0966796875,
0.044677734375,
0.0849609375,
-0.0016632080078125,
0.060302734375,
0.10107421875,
-0.02978515625,
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-0.00173187255859375,
0.01708984375,
-0.06298828125,
0.0042724609375,
-0.03... | 41,146 | 41146 | |
How to Derive cos 72
Associated Topics || Dr. Math Home || Search Dr. Math
How to Derive cos 72
Date: 6/19/96 at ... | 4 | [
-0.0038604736328125,
0.12890625,
-0.076171875,
0.07275390625,
-0.04296875,
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0.026123046875,
0.06396484375,
0.003204345703125,
-0.1494140625,
0.0405273437... | 41,147 | 41147 | |
An Extender is a Generalization of an Ultrafilter?
up vote 5 down vote favorite
2
I'm not sure whether this belongs here or on math stackexchange, but I'll give a try here.
I've heard that an extender is a generalization of an ultrafilter. This is not to say that an ultrafilter is the same sort of object as an extend... | 4 | [
0.003875732421875,
-0.02880859375,
0.06982421875,
-0.031982421875,
0.1318359375,
0.061279296875,
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0.03125,
-0.046875,
-0.06396484375,
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-0.00372314453125,
-0.0751953125,
0.0274658203125,
0.0390625,
0.0537109375,
0.05322265625,
0.058837890625,
-... | 41,148 | 41148 | |
Ideals of Z
Date: 07/30/2003 at 00:39:36
From: Vivien
Subject: Ideals, Rings
What are the ideals of Z?
How to find all of the subgroups of (Z, +)?
I learned from some answered questions in Dr. Math that "Ideals of Z
must be of the form mZ for some integer m." Why is that true?
Date: 07/30/2003 at 02:16:07
From: D... | 5 | [
-0.06396484375,
0.07080078125,
-0.00677490234375,
0.0296630859375,
0.027587890625,
-0.045654296875,
0.1005859375,
0.00136566162109375,
-0.04248046875,
-0.048583984375,
-0.0201416015625,
0.05029296875,
0.10107421875,
-0.0986328125,
-0.0439453125,
0.02490234375,
0.01708984375,
0.0018... | 41,149 | 41149 | |
change in volume
February 23rd 2007, 12:31 AM
gracy
change in volume
The radius of cylinder is reduced by 4% and its height is increased by 2%, determine the approximate percentage changed in (i) its volume (ii) its curved surface area (neglecting the product of
small quantities)
February 23rd 2007, 03:26 A... | 4 | [
0.01611328125,
0.052734375,
0.01434326171875,
-0.035400390625,
0.031494140625,
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0.03466796875,
-0.0283203125,
-0.0111083984375,
0.0001010894775390625,
0.01153564453125,
0.07177734375,
0.016845703125,
-0.03173828125,
0.0002288818359375,
... | 41,150 | 41150 | |
Surface Area of Prisms and Cylinders
Topics
We've calculated the lateral area for both prisms and cylinders. Lateral area is part of surface area, but it doesn't tell the whole story. We need the bases, too.
No, not those bases.
The surface area SA equals the lateral area L plus the area of the two bases. Since the ... | 4 | [
0.032470703125,
-0.003082275390625,
0.0556640625,
-0.0303955078125,
0.0133056640625,
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0.036376953125,
0.12255859375,
-0.03515625,
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0.0556640625,
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0.040283203125,
-0.0986328125,
-0.0... | 41,151 | 41151 | |
Help getting started with a couple optimizations
April 6th 2008, 05:56 PM #1
Help getting started with a couple optimizations
Sometimes I can do these... sometimes I look at them and don't know where to begin.
If someone could give me a couple tips to get these few started, I can do the rest:
1. A box w... | 5 | [
0.00080108642578125,
0.004241943359375,
0.033447265625,
-0.0322265625,
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0.0260009765625,
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0.08935546875,
0.0301513671875,
0.0... | 41,152 | 41152 | |
Tangent to a circle where m=1
May 20th 2009, 08:41 PM #1
Tangent to a circle where m=1
Hi,
I have the equation of a circle, and hence I also know the centre and the radius. I need to find the tangent/s of gradient 1.
I have tried it many times by letting y=x + g the equation of the line and substituting... | 4 | [
-0.03369140625,
-0.06201171875,
-0.015380859375,
0.04150390625,
-0.0012359619140625,
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0.050048828125,
0.07568359375,
0.0283203125,
-0.00982666015625,
-0.00927734375,
0.027099609375,
0.053466796875,
0.0032501220703125,
-0.00124359130859375,
0.08251953125,
-0.0152587890625,... | 41,153 | 41153 | |
Linear Algebra - Definition of Orthonormal
Date: 10/28/97 at 23:18:29
From: Melanie Wright
Subject: Linear Algebra
Show that the transition matrix P from one orthonormal basis to
another is unitary, that is, P*P = I.
I can see what a transition matrix is, but I don't understand the
orthonormal basis portion of this... | 5 | [
-0.1611328125,
-0.04931640625,
-0.06689453125,
-0.05615234375,
0.0478515625,
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0.061767578125,
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0.0157470703125,
-0.050048828125,
-0.09375,
-0.0177001953125,
... | 41,154 | 41154 | |
Math Help
Hello buddy a) = 3*1 = 3 b) = $5*e^{5t}+(-2)e^{-2t} = 5e^{5t}-2e^{-2t}$ c) = 2x-5 d) = $\frac{d}{dt} sin(t)/cos(t) = \frac{1}{cos^2(t)}$ This is because $\frac{d}{dt} sin(t)/cos(t) = sin(t)*cos^{-1}
(t)$ $= cos(t)*cos(t)^{-1} + (-1)(-1) sin(x)*cos(x)^{-2}*sin(x)$ $= 1 + sin^2(t)cos^{2}(t) = 1+tan^2(x) = \fra... | 5 | [
-0.09716796875,
0.0213623046875,
0.037109375,
0.0059814453125,
0.004425048828125,
0.01025390625,
-0.042236328125,
0.029296875,
0.023193359375,
0.0157470703125,
0.08837890625,
-0.126953125,
-0.02197265625,
-0.000007748603820800781,
-0.052490234375,
-0.000720977783203125,
-0.072265625,... | 41,155 | 41155 | |
[SOLVED] prove that this series to the nth^2 power converges
September 10th 2009, 05:49 PM
hatsoff
[SOLVED] prove that this series to the nth^2 power converges
Quote:
Prove that
$\sum\left(1-\frac{1}{n}\right)^{n^2}$
converges.
My instinct is to use the root test, and try to show that
$\... | 5 | [
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0.0439453125,
-0.09912109375... | 41,156 | 41156 | |
Hausdorff Dimension
January 25th 2009, 10:58 AM #1
Newbie
Joined
Dec 2008
Posts
2
Hausdorff Dimension
Hi all,
I would like to prove rigorously that the fractal dimension of the unit interval is one. Indeed, it feels obvious from the definition of the Hausdorff Measure that at dimension 1, it measure... | 4 | [
0.015380859375,
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-0... | 41,157 | 41157 | |
Derivatives + Trig
April 29th 2008, 06:59 PM #1
Member
Joined
Feb 2008
Posts
97
Derivatives + Trig
The hypotenuse of a right-angled triangle is 12cm in length. Find the measure of the angles in the triangle that maximize its perimeter.
This is my function for perimeter that I came up with
12 + ... | 5 | [
-0.04296875,
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0.0361328125,
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0.073730... | 41,158 | 41158 | |
Finding an Equation of a Line
October 21st 2008, 10:34 AM #1
Newbie
Joined
Oct 2008
Posts
7
Find an equation in standard form of the line containing point P and having slope m.
1. P(2,1), m=2/3
2. P(-3,3), m=-4/3
Find an equation in standard form of the line having slope m and y-intercept b... | 4 | [
-0.07958984375,
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... | 41,159 | 41159 | |
Find the area of an equilateral triangle with an apothem 8.9 inches long. - Homework Help - eNotes.com
Find the area of an equilateral triangle with an apothem 8.9 inches long.
By the apothegm it divides the base length equally in a equilateral triangle.
If the triangle is ABC and apothegm is AD then;
`BD = CD`
`AD... | 4 | [
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-0.0174560... | 41,160 | 41160 | |
Isometric to symmetric group on...
October 3rd 2010, 12:10 PM #1
Junior Member
Joined
Sep 2010
Posts
63
Isometric to symmetric group on...
I have this problem:
Let Y = {a, b, c, d} and let X = Sym(Y)
(a) Find cyclic subgroups of X of order 4:
my answer: (a)(b)(c)(d), (a)(c)(cd), (a)(bc)(d)... | 5 | [
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0.0273437... | 41,161 | 41161 | |
Primes 2
February 27th 2010, 03:53 PM
eyke
Primes 2
prove that there are infinitely many primes by considering the sequence $2^2(^1) +1 , 2^2(^2)+1 , 2^2(^3)+1 ...$
note the parantheses indicates the power of the first power.
February 27th 2010, 04:44 PM
NonCommAlg
Quote:
if $n > m \geq 1,$ the... | 5 | [
-0.0262451171875,
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-0.0244140625,
-0.1... | 41,162 | 41162 | |
A Game in Three Rounds
Date: 04/19/99 at 22:54:28
From: Razelene
Subject: Can't figure out this problem
I can't seem to answer this math question. It's sort of long.
Alice, Bonita, and Carmen have just finished playing three rounds of a
game. In each round there was only one loser. Alice lost the first
round. Bonit... | 4 | [
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-0.0104980... | 41,163 | 41163 | |
Compound interest
July 4th 2012, 05:09 AM #1
Member
Joined
Jan 2010
Posts
106
Thanks
2
Compound interest
A deposit of $25 is made at the beginning of the 1st month, and successive monthly deposits after that is $25 more than the previous month (2nd month is a $50 deposit, 3rd month is a $75, etc.).
... | 4 | [
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0.0510253... | 41,164 | 41164 | |
Combinatorics Basics
Date: 07/07/97 at 21:04:27
From: Randy Scamacca
Subject: Combinatorics
I need to prove that n chooses n-1 = n; e.g. C(n,n-1) = n.
I know that it is true, e.g. 10:9 = 10, but I don't know how to prove
it. Our professor asked us to seek the proof on the Web, but I can
not find it.
Thanks for a... | 4 | [
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... | 41,165 | 41165 | |
Axiomatizing the Harsanyi soluti
Int J Game Theory (2004) 33: 145–158 DOI 10.1007/s001820400193
Axiomatizing the Harsanyi solution, the symmetric egalitarian solution and the consistent solution for NTU-games*
Geoffroy de Clippely , Hans Petersz and Horst Zankx
y ´ ´ Charge de Re... | 4 | [
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-0.00234985351562... | 41,166 | 41166 | |
Columbia Data Science course, week 7: Hunch.com, recommendation engines, SVD, alternating least squares, convexity, filter bubbles
Home
>
data science
,
math education
,
statistics
> Columbia Data Science course, week 7: Hunch.com, recommendation engines, SVD, alternating least squares, convexity, filter bubbles... | 4 | [
-0.09619140625,
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0.072265625,
-... | 41,167 | 41167 | |
Math Help
October 1st 2007, 08:40 PM #1
Member
Joined
Sep 2006
Posts
221
Lin. Dep.
1.) Given the set with these two vectors:
\left\{ \left[ \begin {array}{c} a-1\\oalign{\medskip}a+3<br /> \end {array} \right] , \left[ \begin {array}{c} 1\\oalign{\medskip}a<br /> \end {array} \right] \right\}
... | 5 | [
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0.002... | 41,168 | 41168 | |
Ruby Quiz - String Equations (#112)
String Equations (#112)
This quiz was adapted from an ACM programming challenge at the suggestion of Gavin Kistner.
Let's define two operators for a simple set of string equations.
First, we will use the plus (+) operator and keep Ruby's meaning of concatenation for it. Therefore,... | 4 | [
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0.013122558593... | 41,169 | 41169 | |
Surd problem
March 12th 2009, 02:06 AM #1
Member
Joined
Feb 2009
Posts
81
Surd problem
hi all,
this is a problem that requires the answer expressed as a surd. (calculator not to be used)
The sides of a rectangle are in the ratio 2:3. The diagonal is of length 26cm. Find the perimeter.
The ... | 4 | [
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-0.021... | 41,170 | 41170 | |
Trigonometric equation
December 31st 2011, 11:46 PM
jacks
Trigonometric equation
If $\cos x = \cos y$ and $\sin x = -\sin y$
Then find value of $\sin (2006\; x)+\sin (2006\; y)$
January 1st 2012, 12:32 AM
CaptainBlack
Re: Trigonometric equation
January 1st 2012, 01:54 AM
Prove It
Re: Trigonometric equ... | 5 | [
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0.0390625... | 41,171 | 41171 | |
Question on local cohomology
up vote 1 down vote favorite
Let $M$ be a positive graded finitely generated module over a positive graded commutative ring $R$. Assume that $R_0$ is a local ring with maximal ideal $m_0$. Let $d$ be the Krull dimension of $M$.
In the book "Local cohomology : An algebraic introduction with... | 5 | [
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0.0294189453125,
0.0163574218... | 41,172 | 41172 | |
Fourier Series of odd function
August 14th 2009, 11:57 AM #1
Newbie
Joined
Feb 2009
Posts
7
Fourier Series of odd function
I am having trouble with this fourier series:
$f(x)=\left\{\begin{array}{cc}\cos(x),&\mbox{ if }<br /> 0\leq x< \pi\\-\cos(x), & \mbox{ if }-\pi\leq x< 0 \end{array}\right.$
... | 5 | [
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0.0810546875,
-0.032226... | 41,173 | 41173 | |
In the complex plane
October 26th 2006, 05:28 AM #1
Member
Joined
Sep 2006
Posts
83
Question 1)
In the complex plane , there are three cube roots of one. Let zeta be the cube root of one which has positive imaginary part. Show that zeta is a quadratic integer in Q[sqrt(-3)] by writing it in
the fo... | 5 | [
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The Interdependence of Some Moments of the PDF of Scalar
Concentration
T.P. Schopflocher, C.J. Smith and P.J. Sullivan
The University of Western Ontario, London, Ontario, Canada, E-Mail: pjsul@uwo.ca
Keyword... | 4 | [
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-0.117... | 41,175 | 41175 | |
A limit problem
September 5th 2009, 10:47 PM #1
Junior Member
Joined
Aug 2009
From
Brisbane, Australia
Posts
31
A limit problem
Find lim x->2 (f(x^2+5) - f(9))/(x-2), knowing that f'(x) = 1/x and f(2) = 9.
I am not sure how to solve this. I suppose f(x) = ln(x), but I don't think that helps me, ... | 5 | [
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-0.0576171875,
0.0098876953125,
-0.03... | 41,176 | 41176 | |
Co-efficient of an Algebraic Term
Date: 07/18/99 at 19:58:12
From: Elizabeth
Subject: Co-efficient of an Algebraic Term
Find [z^40] (1 + z + z^2 + ... + z^9)^100
My generating function is:
(1 - x^(9+1))/(1 - x). So, you can break that down to
1 - x^10 * (1/(1 - x))
= [z^40] (1/(1 - x)) - [z^??] 1/(1 - x)
But w... | 5 | [
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... | 41,177 | 41177 | |
Isogenous elliptic curve with integral j-invariant
up vote 4 down vote favorite
1
Let $E$ be an elliptic curve over a local field $K$.
If $E$ has non-integral $j$-invariant, under what conditions will there exist an isogenous curve with integral $j$-invariant?
Here, saying an element $a \in K$ is integral means that... | 4 | [
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0.1162... | 41,178 | 41178 | |
Finding the center of conic sections
May 15th 2008, 07:12 PM #1
Finding the center of conic sections
Hey guys, just ran across this question on a homework:
"Find the center of the conic section whose equation is: A x ²+B xy +C y ²+D x +E y +F=0"
How do I find them without any numbers in each term? Is th... | 4 | [
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-0.10400390625,
-0.03125,
-0... | 41,179 | 41179 | |
GAY-LUSSAC'S LAW CALCULATOR
Gay-Lussac's Law Calculator
(or Pressure Law Calculator)
... | 4 | [
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0.0064697265625,... | 41,180 | 41180 | |
Solving Applied Problems (word problem)
March 3rd 2013, 05:26 PM
Sprinkledozer
Solving Applied Problems (word problem)
Hi, If you could show how you solve this, that would be great. Thanks.
Mr. Silvester is 5yr older than his wife. Five years
ago his age was 4/3 her age. What are their ages now?
March ... | 4 | [
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Another combinatorial proof
July 4th 2010, 08:28 AM #1
Another combinatorial proof
Give combinatorial or bijective proofs of the following. Part of your job is to determine all values of n,k, and/or m for which the identities are valid.
c) $\left({0\atop m}\right)+\left({1\atop m}\right)+\left({2\atop m}\rig... | 4 | [
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0.0634765625,
0.0... | 41,182 | 41182 | |
Examining a transformation
February 13th 2009, 06:11 PM
arbolis
Examining a transformation
I couldn't think a lot on this problem and I'd like to know whether my way of thinking is not wrong.
Determine whether the following transformation is invertible and in case of being invertible, give its inverse.
L... | 5 | [
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... | 41,183 | 41183 | |
This is a mean with percentage problem...
May 23rd 2012, 11:12 AM
Schuyla
This is a mean with percentage problem...
Mr. Ramirez and Ms. Jonsey gave tests to their classes with the results seen in the table.
Overall Mean Mean for Females Mean for Males Percent Females
Ramirez 218 230 ... | 4 | [
0.0693359375,
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0.0390625,
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-0.07373046875,
0.020263671875,
-0.0035552978515625,
0.00787353515625,
0.0140380859375,... | 41,184 | 41184 | |
hypercohomology of logarithmic de Rham complex
up vote 2 down vote favorite
Let $X$ be a smooth projective variety over a field $k$ of characteristic zero. Consider the hypercohomology in degree one of the logarithmic de Rham complex
$\mathbb{H}^1(X, \mathcal{O}_X^\ast \to \Omega^1_X \to \Omega^2_X \to \cdots)$
wher... | 5 | [
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0.0888671875,
-0.095703125,... | 41,185 | 41185 | |
complex numbers-solving equations
March 14th 2008, 09:19 PM #1
wish_i_was_a_maths_geek
Guest
i don't know how to put these equations into perfect squares so i can get the complex number to put on the Argand diagram
(^ means 'to the power of' because i don't know how to use small letters)
1. 2x^(2)-7x+9=0
... | 4 | [
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-0... | 41,186 | 41186 | |
Multiple Regression in JMP
Example: Berkley Guidance Study
(BGSgirls.JMP in the Biometry JMP folder)
The data for this example are excerpted from the Berkeley Guidance Study, a longitudinal monitoring of boys and girls in Berkelely, CA, between January 1928 and June 1929. The variables in the data
for girls are:
... | 4 | [
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0.06689453125,
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0.01116943359375,
0.0286865234375,
0.04736328125,
-0.04541015625,
-0.02294921875,
0.05541992187... | 41,187 | 41187 | |
When Two Wrongs Make One Right
16 Apr
How would you go about solving this word problem:
Jerry is twice as old as John; the sum of their ages is that of Jim's, while the ages of the three of them add up to 36. How old is each?
You are likely to start with algebra: let's the ages of Jerry, John, and Jim be $x, y, z$. ... | 4 | [
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-0.056396484375,
0.... | 41,188 | 41188 | |
STAT 3321 Mod3 HW
Module 3 Homework
Chapter 6 – 6.50 (omit normal probability plot), 6.51abcde (S&P only will be fine)
Chapter 7 – 7.32, 7.49
Additional Homework
1. Assume that you own a telephone call center. Over the past several year... | 5 | [
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-0.0017852783203125,
-0.10... | 41,189 | 41189 | |
The Cause of Axial Tilt by Miles Mathis
return to homepage
return to updates
The Cause of Axial Tilt
Part 1
by Miles Mathis
milesmathis.... | 4 | [
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Divergence of a series
March 15th 2010, 03:53 AM #1
Junior Member
Joined
Jan 2008
Posts
35
Divergence of a series
Hi, I want to show that $\sum_{n=1}^{\infty}b_n$, where $b_n = \ln(1 - \frac{1}{2^n})$, is divergent (approaches negative infinity).
How would I go about approach this? I was thinking of... | 5 | [
-0.042236328125,
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0.0211181640625,
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0.0299072265625,
-0.1015625... | 41,191 | 41191 | |
Newtons method help
March 17th 2012, 08:19 AM #1
Newbie
Joined
Mar 2012
From
US
Posts
2
Newtons method help
Hey guys, need some help with this question. I am stuck and don't know what to do.
Q: Show that using newton's method to $1-\frac{R}{x^n}$ and to $x^n-R$ for determining $(R)^{\frac{1}{n}}... | 4 | [
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Derivative of Inverse Function
Examples with detailed solutions on how to find the derivative (Differentiation) of an inverse function, in calculus, are presented.
Example 1: Find the derivative dy/dx of the inverse of function f def... | 5 | [
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... | 41,193 | 41193 | |
Introduction
Share Introduction to Functional Equations http://www.fishpond.co.nz/Books/Introduction-to-Functional-Equations-Prasanna-K-Sahoo-Palaniappan-Kannappan/9781439841112?cf=3 How
... | 5 | [
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Can a curve intersect a given curve only at given points?
up vote 10 down vote favorite
4
Clearly the question in the title has a positive answer for analytic (or smooth, or continuous ...) curves, but what about the algebraic category? More specifically, given an irreducible polynomial
curve $X \subseteq \mathbb{CP}^... | 4 | [
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Green's Formula, polar co-ordinates
November 4th 2008, 10:56 AM #1
Junior Member
Joined
Nov 2008
Posts
49
Green's Formula, polar co-ordinates
where
C is the ellipse x^2/a^2 + y^2/b^2 = 1
a,b>0
So basically I get upto II(-2)dxdy, with the elipse as limits, then converting to polar co-o... | 5 | [
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Elements living in the conjugacy class and in the centralizer of an m-cycle in Am
up vote 7 down vote favorite
2
Let m>1 be an odd natural number, x a m-cycle in Am, the alternating group in m letters, C the conjugacy class of x in Am.
Questiom: How can I describe the elements in the set { j | x^j in C} in terms of m... | 5 | [
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Permanent Magnet Design Guidelines
4.0 Design Considerations
Basic problems of permanent magnet design revolve around estimating the distribution of magnetic flux in a magnetic circuit, which may include permanent magnets, air gaps, high permeability
conduction elements, and electrical currents. Exact solutions of mag... | 4 | [
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Distance of a barycentric coordinate from a triangle vertex
up vote 2 down vote favorite
I have a triangle $ABC$ with side lengths $a,b,c$ (edges $BC, CA, AB$ respectively).
I have a point $p$ with barycentric coordinates $u:v:w$.
These are normalised: $u+v+w=1$. $1:0:0$ corresponds to point $A$, $0:1:0$ is $B$ etc.... | 5 | [
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