content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Three Dimensional Space
August 9th 2012, 04:30 PM
Mrdavid445
Three Dimensional Space
In a three dimensional space, consider the point $(x,y,z)=(4,3,1)$. Rotate this point 45 degrees counter-clockwise about the z-axis (as viewed from above). What are the coordinates of the new
point?
August 9th 2012, 07:24 P... | 4 | [
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0.07861328125,
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0.0252685546875,
-0.00836181640625,
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0.00933837890625,
-0.10742187... | 40,800 | 40800 | |
Common factors in integral domain Z[sqrt(-13)]
June 8th 2012, 07:14 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Common factors in integral domain Z[sqrt(-13)]
Consider the integral domain $\mathbb{Z}\[\sqrt{-13}\] = \{ x + y \sqrt{-13} | x,y \in \mathbb{Z} \}$.
Show that $2$ and $3 + \sqrt{-13}$ ha... | 5 | [
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0.07177734375,
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-0.0196533203125,
-0.02819... | 40,801 | 40801 | |
Can an action of a compact Lie group be nontrivial if it is trivial on the boundary?
up vote 9 down vote favorite
2
Let $G$ be a compact Lie group acting on a connected topological manifold $M$ with boundary. Suppose the action on one boundary component is trivial. Does it follow that the action on the whole of
$M$ is... | 5 | [
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Special equation?
May 19th 2008, 01:45 PM #1
Junior Member
Joined
May 2008
Posts
42
Special equation?
Wrong forum probably, but I'm not sure where to post...
My friend challenged me with this curious equation:
$2^x - 5 = x$
Like I know the answer is 3, but I don't know how to mathematically... | 5 | [
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0.03466796875,
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0.042236328125,
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-0.0678710937... | 40,803 | 40803 | |
Thinking about the Mediant of Two Fractions
Date: 12/10/2009 at 23:24:08
From: Teresa
Subject: new fraction formula
Students were trying to find a fraction between two given fractions
with 1 as the numerators (such as 1/2 and 1/3). After working on
several problems, one person noticed that when given 1/a and 1/b, th... | 5 | [
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0.03... | 40,804 | 40804 | |
please solve this question
October 8th 2008, 06:30 AM #1
Newbie
Joined
Oct 2008
Posts
13
please solve this question
please solve this question using heron's formula...
The lengths of the sides of a triangle are 5cm, 12cm and 13cm.Find the length of perpendicular from the opposite vertex to the side ... | 4 | [
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-0.0027008056640625... | 40,805 | 40805 | |
dsp
07/30/03
Digital Signal Processing
David J. Mehrl and Marion O. Hagler
Digital Signal Processing (DSP) (Camtasia tutorial, 33665 KB) is an increasingly
important area of electrical and comput... | 5 | [
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Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: If ZFC is a FORMAL THEORY ... then what is THEOREM... | 4 | [
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Math Help
August 2nd 2007, 03:22 AM #1
Newbie
Joined
Jul 2007
Posts
13
Given a triangle ABC and a point S inside.Show that if areas of triangle ABS, triangle BCS and triangle CAS are equal, then S is the centroid of ABC.
Hello,
1. The area of a triangle is calculated by:
$A=\frac{1}{2} \cd... | 4 | [
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Math Forum Discussions - Re: No Putnam spoilers please
Date: Dec 4, 2012 10:48 PM
Author: William Elliot
Subject: Re: No Putnam spoilers please
On Tue, 4 Dec 2012, Dr J R Stockton wrote:
> Sun, 2 Dec 2012 19:47:28, William Elliot <marsh@panix.com> posted:
> >On Sat, 1 Dec 2012, William Elliot wrote:
>
> >> "What's 5^2... | 5 | [
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What Are Differential Equations?
Date: 12/17/2003 at 15:49:57
From: Adam
Subject: What are differential equations?
Hi. I would like to know what exactly differential equations are. I
understand they are used for modeling, but how do they derive the
formulas? Why does it have two variables: (x,y)? Why do they alwa... | 5 | [
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Spectral Decomposition and Polynomials
November 17th 2011, 05:35 AM
H12504106
Spectral Decomposition and Polynomials
Let T be a normal operator on a finite-dimensional complex inner product space V. Use the spectral decomposition to show that If g is a polynomial, then
g(T) = g(m_1)T_1 + g(m_2)T_2 + ... + g(... | 5 | [
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Introduction to L-series and Dirichlet characters?
up vote 7 down vote favorite
4
I'm looking for an introductory text on Dirichlet characters and the L-series of a field K, specifically for quartic extensions of $\mathbb{Q}$. I have Davenport's Multiplicative Number Theory,
Ireland/Rosen, Marcus' Number Fields, and W... | 5 | [
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rectangular and polar forms
June 12th 2012, 11:44 AM
tomjay
rectangular and polar forms
z1 = 2 + j2
z2 = 1 + j5
z3 = j6
what is Y when :
Y = (1/z1) + (1/z2) + (1/z3)
1/z3 how is that done??????
June 12th 2012, 02:12 PM
BobP
Re: rectangular and polar forms
Multiply top and bottom ... | 4 | [
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Advanced Calculus Help
September 11th 2008, 07:05 AM
algebrapro18
Advanced Calculus Help
A) For each part, find a function f: R -> R that has the desired properties: neither onto nor one-to-one
B)Under what conditions does A\(A\B) = B?
C)Define f:J -> N(natural numbers) where f(n) = 2n-1 for each n ele... | 5 | [
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... | 40,814 | 40814 | |
find the mean
April 29th 2007, 08:27 AM #1
Member
Joined
Nov 2006
From
chicago
Posts
156
find the mean
If the geometric mean of a and b is 10 and the harmonic mean of a and b is 8, find the value of the following without determining the values of a and b.
1/a + 1/b
Hello, Mr_Green!
Are... | 4 | [
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Can I calculate the radius of a circle from arc length and arc height alone?
September 16th 2011, 01:44 AM #1
Newbie
Joined
Sep 2011
Posts
3
Hi there
I have a problem which I thought would be quite easy when I was out on site.
I have a curved bridge which I am assuming is part of a circle.
I... | 4 | [
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Jokes in the sense of Littlewood: examples?
up vote 92 down vote favorite
87
First, let me make it clear that I do not mean jokes of the "abelian grape" variety. I take my cue from the following passage in A Mathematician's Miscellany by J.E. Littlewood (Methuen 1953, p. 79):
I remembered the Euler formula $\sum ... | 5 | [
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EE2365 Control Engineering ANNA UNIVERSITY QUESTION BANK, QUESTION PAPER, IMPORTANT QUESTIONS 2 MARKS and 16 MARKS QUESTIONS
EE2365 Control Engineering ANNA UNIVERSITY QUESTION BANK, QUESTION PAPER, IMPORTANT QUESTIONS 2 MARKS and 16 MARKS QUESTIONS
... | 4 | [
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... | 40,818 | 40818 | |
Cola Consumption
Date: 05/03/99 at 19:39:11
From: Kim Pirrone
Subject: AP Calculus Review
The rate of consumption of Cola in the U.S. is given be S(t)= Ce^kt
where S is measured in billions of gallons per year and t is measured
in years from the beginning of 1980.
a. The consumption rate doubles every 5 years and t... | 4 | [
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Variance of S^2
November 27th 2012, 02:22 PM
Scopur
Variance of S^2
Haven't used this for a while.. not sure if i get the texing.
I prove first that (this was fine)
$\frac{1}{2n(n-1)} \sum^n_{i=1}\sum^n_{j=1}(X_i-X_j)^2 = S^2$
Then i am to calculate, assuming all the $X_i's$ have finite fourth momen... | 5 | [
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0.03393... | 40,820 | 40820 | |
Proof of Normal Distribution
Date: 10/15/97 at 07:08:30
From: Kevin Sauter
Subject: Proof of Sample Mean and Sample Std. Dev. being normal if
sample is from a Normally Distributed Population
Dr. Math,
Can you explain (and prove) to me why samples taken from a normally
distributed population will also be normally di... | 5 | [
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Finding real root of polynomial degree n using MVT for integrals
December 11th 2012, 07:15 PM
voyance
Finding real root of polynomial degree n using MVT for integrals
I really need help for this problem. I don't even know how to start this problem. Anyway, here's the problem:
if a[0, ]a[1, ]a[2],..., a[n] a... | 4 | [
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... | 40,822 | 40822 | |
Right triangle with two solutions
January 22nd 2013, 01:55 PM #1
Right triangle with two solutions
I have a right triangle with two sides: x-13 and x-26 along with a hypotenuse x
What is x? I get 13 and 65. Why does this feel un perfect.
What is the length of the sides?
Last edited by Paze; January... | 4 | [
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Need some help
November 18th 2007, 06:52 AM #1
xfactor0707
Guest
Hi yall im new to this forum but im looking for some help.
Find all values of the variable for which the expression is undefined.
1) (4y)/( x- 3)
2) (4x + 12)/ (x^3 - 9x)
3) (7)/ (7 -x )
4) (2y)/ (y^2 - 6y - 7)
5) (7)/ (x^2 ... | 4 | [
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Infinitesimal rigidity vs. local rigidity
up vote 3 down vote favorite
I am thinking about homomorphisms $\mathrm{Hom}(\Gamma,G)$, where $G$ is a Lie group and $\Gamma$ is a discrete, finitely generated subgroup.
This question talked about the difference of infinitesimal rigidity vs. local rigidity and the second ans... | 4 | [
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0.005584716796875,
0.0... | 40,825 | 40825 | |
hyperbolic tangent
September 25th 2009, 06:56 AM
rainer
hyperbolic tangent
Hi,
Two things regarding hyperbolic tangent (tanh(x)):
1) What is the inverse function of tanh(x)?
Apparently it is NOT artanh(x).
I need to know how to "undo" a tanh(x) function. Please help.
2) In my grapher, a... | 5 | [
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-0.10107421875... | 40,826 | 40826 | |
DENSITY ALTITUDE
For example, using the formula for the same case we just calculated with the table, we find the following: PA= H[A] + PAV PA = 1,500 + 1,000(29.92 - 29.41) PA = 1,500 + 510 PA = 2,010 feet
By comparison, you can see that this value is 34 feet higher than we found by using the table, but it is a close... | 4 | [
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-0.0634765625,
-0.025146484375,
0.08203125,
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0.03125,
0.01287841796875,
0.043701171875,
0.08251953125,
-0.000675201416015625,
-0.0654296875,
0.015869140625,
0.0069580078125,
-0.0791015625... | 40,827 | 40827 | |
The critical value of percolation on Cayley graphs.
up vote 13 down vote favorite
4
Let $\Gamma$ be a discrete group with a generating set $S$. Let $p_c(\Gamma,S)$ be the critical probability for percolation of the Cayley graph of $\Gamma$. Is it known that if $\Gamma$ is
non-amenable then there exists a generating se... | 5 | [
-0.04052734375,
-0.052490234375,
-0.049072265625,
0.0498046875,
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0.048828125,
0.034423828125,
0.0224609375,
-0.0269775390625,
0.01953125,
0.057373046875,
0.039794921875,
-0.0037384033203125,
-0.01806640625,
-0.0010833740234375,
-0.1074... | 40,828 | 40828 | |
About sum of residues
May 18th 2009, 03:00 AM
gdmath
About sum of residues
Hi everybody
First of all thank you for your time and your response.
I encountered the following issue:
sm=Sum( n^s % p, {n,1,p-2} )
(Where % = modulo, p is prime, s is a positive integer)
Is there any proof thats ... | 5 | [
-0.07470703125,
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0.10302734375,
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0.09619140625,
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0.0262451171875,
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0.0069580078125,
-0.07666015625,
-0.1259765625,
-0.025634765625,
... | 40,829 | 40829 | |
Yo-Yo: Rolling, sliding, pulling
This is actually been sitting around for a while waiting for me to post it. Here is another short Christmas-toy demo. I am going to pull this yo-yo at different angles and on two different surfaces.
Check it out.
What is going on here? Let me look at the first case where I pull the yo-... | 4 | [
-0.051513671875,
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0.046875,
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0.0380859375,
0.034912109375,
0.037109375,
-0.0137939453125,
0.08056640625... | 40,830 | 40830 | |
Chapter 4 The Z-Transform and Fourier Transforms of Discrete-Time (1)
To help you do the revision, here is the compilation of a list of key theoretic points for you to focus on. Try to ask yourself whether you have acquired the required knowledge.
Week 1-2: Discrete-Time Signals... | 4 | [
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-0.04418945... | 40,831 | 40831 | |
Polynomial inequality
October 28th 2007, 12:59 PM #1
Junior Member
Joined
Oct 2007
Posts
44
Polynomial inequality
Please check my answers.
1. Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.
(x - 3)(x + 2) > 0
This ... | 4 | [
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-0.004394531... | 40,832 | 40832 | |
Math Help
October 9th 2008, 04:58 PM #1
Member
Joined
Feb 2008
Posts
125
Write as a single cycle or product of disjointed cycles and as a product of 2-cycles.
A) alph*beta where
alph=
1 2 3 4 5 6 7 8
2 3 4 5 1 7 8 6
beta=
1 2 3 4 5 6 7 8
1 3 8 7 6 5 2 4
I found that alph... | 4 | [
-0.05810546875,
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0.046630859375,
0.03369140625,
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0.026611328125,
-0.0791015625,
-0.0751953125,
0.0791015625,
-0.0986328125,
0.02941... | 40,833 | 40833 | |
Growth rate of eta related function
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Consider the function
$$f(x)=\prod\limits_{n=1}^{\infty}(1-x^n)$$ I am interested in an asymptotic formula... | 5 | [
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0.01458740234375,
-0.... | 40,834 | 40834 | |
Help with understanding truth tables...
July 15th 2007, 10:03 AM #1
Newbie
Joined
Jul 2007
Posts
2
Help with understanding truth tables...
Hello everyone.
I'm definatly not understanding how to do truth tables, especially with Tautology.
If anyone could please help me to understand how to do th... | 4 | [
0.032470703125,
0.0302734375,
0.0126953125,
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0.0172119140625,
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0.06640625,
0.036376953125,
0.0556640625,
-0.083984375,
-0.027954101562... | 40,835 | 40835 | |
PowerPoint Presentation - LU NMS
Some Bridges among Contest,
Research and Unsolved Problems
A(6) =193
Andrejs Cibulis, University of Latvia
WFNMC-6, July 27, 2010, Riga
cibulis@lanet.lv
1. Magic Constants of Polyominoes
The notio... | 4 | [
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0.01409912109375,
-0.01202392... | 40,836 | 40836 | |
proof of -1 = +1
January 22nd 2009, 12:58 PM
mnova
proof of -1 = +1
[I hope I did the LaTex correctly.]
We know that $\textit{i}^2 = \sqrt{-1}^2$ and the square root and square operations are inverses so they cancel and $\textit{i}^2 = -1$ .
And we know that $\sqrt{a}\sqrt{b} = \sqrt{ab}$ .
example... | 4 | [
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0.038330078125,
-0.05419921875,
-0.032958984375,
-0.0456... | 40,837 | 40837 | |
Sunday FunctionSunday Function
Well, it’s Gabriel, Gabriel playin’!
Gabriel, Gabriel sayin’
“Will you be ready to go
When I blow my horn?”
- Cole Porter, Anything Goes
The commenters in last week’s Sunday Function proposed an excellent idea for this week. As we did then, we’ll start simple and work up to it. Graph the... | 4 | [
-0.03759765625,
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0.048095703125,
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0.0218505859375,
-0.005279541015625,
-0.008544921875,
-0.06787109375... | 40,838 | 40838 | |
Google Billboard Problems
A mysterious billboard appeared on 101-southbound which I passed each day to work. The billboard said:
{ the first 10-digit prime in consecutive digits of e }.com
I passed by the billboard numerous times before I realized it wasn’t an advertisement for a company, it wasn’t touting some ... | 5 | [
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0.095703125,
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0.041748046875,
0.000629425048828125,
0.026611328125,
-0.07666015625,
0.03564453125,
... | 40,839 | 40839 | |
non-Identity operator on a separable Hilbert space
up vote 2 down vote favorite
Suppose $\mathcal{H}$ is a separable Hilbert space over $\mathbb{C}$ (countable dimensions) with inner product $\langle,\rangle$. Let $A$ be a bounded linear operator on $\mathcal{H}$, i.e, in $B(\
mathcal{H}$). Suppose further that $A$ is... | 5 | [
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-0.0283203125,
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0.0703125,
... | 40,840 | 40840 | |
problem to find out the numbers
November 7th 2012, 01:54 AM
sammukeshav
problem to find out the numbers
Hi
My son has brought the below problem from his school and unable to achieve the solution. please advise if any one could help how to resolve this.
Problem: Four positive integers are arranged in a ... | 4 | [
-0.0284423828125,
0.078125,
-0.08154296875,
-0.1572265625,
-0.022705078125,
0.042236328125,
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0.029052734375,
-0.12109375,
0.06591796875,
-0.0198974609375,
-0.000885009765625,
0.0167236328125,
0.05322265625,
-0.0634765625,
0.0634765625,
0.000492095947265625,
0.041748... | 40,841 | 40841 | |
§1.5: Probability densities and convolution
For variety’s sake, in this section we write the Hamming cube as ${\mathbb F}_2^n$ rather than $\{-1,1\}^n$. In developing the Fourier expansion, we have generalized from boolean-valued boolean
functions $f : {\mathbb F}_2^n \to \{-1,1\}$ to real-valued boolean functions $f ... | 4 | [
-0.0274658203125,
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-0.03515625,
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-0.01422119140625,
0.0007171630859375,
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0.0250244140625,
0.01385498046875,
-0.06494140625,
0.033935546875,
-0.047... | 40,842 | 40842 | |
Show f is a bijection
For any p ∈B f: (A x {p})→ A Show f is a bijection (one-to-one and onto)
This is part of a topology proof: For any p2 ∈ X2 π1|(x1x{p2}): (X1 x {p2})→ X1 is a homeomorphism
This is part of a topology proof: For any p2 ∈ X2 π1|(x1x{p2}): (X1 x {p2})→ X1 is a homeomorphism Sorry, I phrased that poo... | 4 | [
0.029296875,
0.00994873046875,
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0.06982421875,
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-0.06640625,
-0.016357421875,
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-0.0206298828125,
0.0927734375,
-0.0021820068359375,
-0.0087890625,
-0.0238037... | 40,843 | 40843 | |
Word Problem
April 14th 2009, 10:09 PM #1
Super Member
Joined
Feb 2008
Posts
535
Word Problem
Imagine making a tent in the shape of a spherical cap (a sphere with a lower portion sliced away by a plane).
Assume we want the volume to be 2.2m^3 to sleep two or three people. Draw a picture, identifying... | 5 | [
0.111328125,
0.07373046875,
0.00335693359375,
0.0306396484375,
0.045654296875,
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0.0625,
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0.10498046875,
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0.037353515625,
0.005767822265625,
... | 40,844 | 40844 | |
Modelling Sinusoidal Equations
December 15th 2008, 03:57 PM #1
Newbie
Joined
Dec 2008
Posts
3
Modelling Sinusoidal Equations
I figured that making a post asking how to do this would be a lot better than posting a bunch of different questions. I am having trouble setting up word problems that are given to... | 4 | [
-0.0267333984375,
0.0130615234375,
0.037353515625,
-0.0184326171875,
-0.0281982421875,
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-0.052001953125,
0.0947265625,
0.0123291015625,
0.0693359375,
0.09375,
-0.039306640625,
0.052001953125,
0.0458984375,
0.023193359375,
0.05224609375,
-0.006256103515625,
0.052734... | 40,845 | 40845 | |
MILS 04B hlv1
From Math Images
Fibonacci Numbers
Fibonacci numbers in a sea shell
Field: Number Theory
Created By: [[Author:| ]]
Website: [ ]
Fibonacci numbers in a sea shell
The spiral curve of the Nautilus sea shell follows the pattern of a spiral drawn in a Fibonacci rectangle, a collec... | 5 | [
-0.08154296875,
0.06396484375,
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0.0081787109375,
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-0.0888671875,
-0.1318359375,
-0.020629... | 40,846 | 40846 | |
How small can a language in NP\P be?
up vote 4 down vote favorite
How small can a language in $NP$ but not in $P$ be? Of course, I don't expect a proof that there exists a language in $NP\setminus P$, so instead I'll ask: Can we rule out any of these conjectures?
1) There is a language $NP\setminus P$, where all elem... | 5 | [
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0.0014495849609375,
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0.03857421875,
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0.0247802734375,
0.07080078125,
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0.05322265625,
0.01324462890625,
-0.01318359375,
... | 40,847 | 40847 | |
Domain, Range, and Function Problems
January 17th 2008, 01:47 PM #1
Newbie
Joined
Jan 2008
Posts
18
Domain, Range, and Function Problems
1.) Please help me find the domain and range of $<br /> h(x)=-\sqrt{x^2-36}<br />$
2.) For f(x) = 4x- $\sqrt{x}$ and g(x) = (3x+2)^2, please find f(g(x)).
Tha... | 4 | [
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0.08447265625,
0.051025390625,
0.018798828125,
-0.07226... | 40,848 | 40848 | |
The facial structure of the convex hull of a family of characteristic functions
up vote 3 down vote favorite
1
Let $S$ be a finite set and let $\mathcal{A} \subset\mathcal{P}(S)$ be a family of subsets of $S$. Consider the convex polytope spanned by the characteristic functions of members of $\mathcal{A}$ :
$$C=C_ \ma... | 4 | [
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0.04736328125,
... | 40,849 | 40849 | |
Integration of Rational Functions by Partial Fractions
June 19th 2008, 09:18 AM
JonathanEyoon
Integration of Rational Functions by Partial Fractions
Hey guys i'm a bit confused and clueless when it comes to writing out the form of the partial fraction decomposition of the function.
Maybe you guys can help ... | 4 | [
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0.0576171... | 40,850 | 40850 | |
Shape of long sequences in C(ω_1)
up vote 3 down vote favorite
Apologies for the vague title - I couldn't come up with a single sentence that summarised this problem well. If you can, please edit or suggest a better one!
This question is also rather specific and contains lots of annoying technical detail. I must admi... | 5 | [
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0.025390625,
0.02392578125,
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0.01220703125,... | 40,851 | 40851 | |
Gamma Function
From the property ... $\displaystyle \Gamma(1+x) = x\ \Gamma(x)$ (1) ... You derive that... $\displaystyle \Gamma(2+x) = x\ (1+x)\ \Gamma(x)$ $\displaystyle \Gamma(3+x) = x\ (1+x)\ (2+x)\ \Gamma(x)$
... $\displaystyle \Gamma(n+x) = x\ (1+x)\ ... \ (n-1+x)\ \Gamma(x)$ (2) Now if You set in (2) $x=\frac{1}... | 5 | [
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0.0234375,
... | 40,852 | 40852 | |
Compactness: over the top?
September 27th 2007, 07:48 PM
shilz222
Compactness: over the top?
If $S = \{ x \in \mathbb{R}: x(x-3) \leq 0 \}$ and $T = \{x \in \mathbb{R}: x \geq 3 \}$, then every element of $T$ is an upper bound for the set $S$.
So $S = [0,3]$ which is a compact set, and so closed and bounded... | 4 | [
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0.0233154296875,
-0.08544921875... | 40,853 | 40853 | |
PageRank
The Anatomy of a Large-Scale
Hypertextual Web Search Engine
Sergey Brin, Lawrence Page
Presented By: Paolo Lim
April 10, 2007
CS 331 - Data Mining 1
AKA: The Original Google Paper
... | 4 | [
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0.05712890625,
-0.0048522949218... | 40,854 | 40854 | |
Computing signature
up vote 11 down vote favorite
1
I have a feeling that this might have already been asked, but can't find the question. Anyway, the question is: given a symmetric $n\times n$ matrix, is there a faster way to compute its signature
than computing the full eigen-decomposition? (the gt tag is because my... | 4 | [
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-0.05712890625,
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0.01171875,
0.059814453125,
0.046630859375,
-0.032470703125,
-0.04345703125,
0.025634765625,
0.0194091796875,
0.0... | 40,855 | 40855 | |
Integrate sin^2(x)*cos^2(x)
July 5th 2009, 06:55 PM
slaypullingcat
Integrate sin^2(x)*cos^2(x)
Hi can someone please help me integrate sin^2(x)*cos^2(x). It has something to do with trig identities (obviously). I tried using the double angle identities but just made more of a mess. Even if
someone could show... | 5 | [
-0.0020904541015625,
0.0244140625,
0.02197265625,
0.038330078125,
0.01153564453125,
0.0164794921875,
-0.02294921875,
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0.01336669921875,
0.0025787353515625,
0.038330078125,
0.0155029296875,
0.020751953125,
0.000904083251953125,
0.000659942626953125,
-0.040771484375,
0... | 40,856 | 40856 | |
Analysis proof help needed
October 12th 2008, 11:00 AM #1
Newbie
Joined
Oct 2008
Posts
3
Analysis proof help needed
I've been driving myself crazy with the following proof:
Let E be an infinite set, and F be a finite subset of E. Let G = E\F (That is, E minus F). Prove that G is equivalent to E.
... | 5 | [
0.009521484375,
0.07763671875,
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0.052490234375,
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0.08203125,
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0.032958984375,
0.0247802734375,
0.047119140625,
-0.072265625,
-0.0556640625,
0.01556396484375,
0.0201416015625,
0.0133056640625,
-0.0693359375,
0.023681640625,
-0.0233154296875... | 40,857 | 40857 | |
Math Help
July 7th 2009, 10:51 AM #1
Member
Joined
Aug 2008
Posts
172
true or not ??
show that :
1) $\overline {e^ { i\theta}} = {e^ {-i\theta}}$
proof:
$\overline {e^ {i\theta}} = cos\theta - isin\theta = cos(-\theta) + isin (-\theta ) = {e^ {-i\theta}}$
2) $\mid {e^ { i\theta}}\mid =1... | 4 | [
-0.068359375,
0.05419921875,
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0.10107421875,
-0.03271484375,
-0.03466796875,
-0.03857421875,
-0.08203125,
-... | 40,858 | 40858 | |
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Topic: Solving a nonlinear system with fsolve
Replies: 2 ... | 4 | [
-0.11376953125,
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0.06640625,
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0.06396484375,
0.0458984375,
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0.03271484375,
-0.02783203125,
-0.0478515625,
0.013671875,
-0.12109375,
-0.0517578... | 40,859 | 40859 | |
Another Physics problem
September 26th 2012, 11:48 AM #1
Member
Joined
Aug 2012
From
new orleans
Posts
131
Thanks
1
Another Physics problem
A car initially traveling westward at 20 m/s has a constant acceleration of 1 m/s^2 eastward. How far does the car travel in the first 10 s?
Help!!!!
R... | 4 | [
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0.0283203125,
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0.00982666015625,
0.042236328125,
0.009216308... | 40,860 | 40860 | |
What sets of self-maps are the continuous self-maps under some topology?
up vote 22 down vote favorite
6
An open question on MSE, http://math.stackexchange.com/questions/427634/a-topology-such-that-the-continuous-functions-are-exactly-the-polynomials , asks whether there is an infinite field and a
topology over that f... | 4 | [
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0.08544921875,
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0.039794921875,
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0.0235595703125,
0.05859375,
-0.10693359375,
-0.04052734375,
-0.0673... | 40,861 | 40861 | |
Modified SSOR Modelling for Linear Complementarity Problems
M.T. Yahyapour^1, S.A. Edalatpanah^1,
^1Department of Mathematics, Ramsar Branch, Islamic Azad University, Ramsar, Iran
Abstract
In this paper, we present an efficient numerical method for solving the linear complementarity problems based on preconditioni... | 5 | [
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0.052978515625,
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-0.03... | 40,862 | 40862 | |
integrate of functions involving floor
up vote 0 down vote favorite
Is there any exact formula or at least exact inequalities for the following intehral
$$ \int_{2}^{x}{{\rm d}t \over \left\lfloor\vphantom{\large h}% \log(x)/\log(t)\right\rfloor \log\left(t\right)} $$
where $\lfloor x\rfloor$ is the greatest integer... | 5 | [
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0.03369140625,
0.00616455078125,
0.068359375,
-0.004180908203125,
0.061767578125,
-0... | 40,863 | 40863 | |
Rate of Change
March 27th 2009, 11:14 AM
magentarita
Rate of Change
Suppose a sum of $500 is deposited in an account with an interest rate of r percent per year compounded monthly. At the end of 10 years, the balance in the account is given by:
A = 500(1+r/1200)^(120)
Find the rate of change of A with ... | 5 | [
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0.0341796875,
-0.0216064453125,
-0.029541015625,
0.0185546875,
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-0.09716796875,
... | 40,864 | 40864 | |
How to decide this function takes integer values?
up vote 12 down vote favorite
4
I am working a combinatorial question. I need to decide when the following function $$\frac{m(7m^2 - 22m +7)}{ \sqrt{ (m^2- 2m + 9)(9m^2 - 2m +1) } } $$takes integer values with following assumption:
1) m takes all positive integer value... | 5 | [
0.0281982421875,
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0.0537109375,
-0.... | 40,865 | 40865 | |
even/odd function's derivative is odd/even
April 27th 2010, 10:25 AM #1
Newbie
Joined
Apr 2010
Posts
5
even/odd function's derivative is odd/even
using differentiation, i want to show
f is even on (-r,r) if and only if f' is odd on (-r,r) and also odd-even relation...
in proving f=>f', differen... | 5 | [
-0.038330078125,
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0.06640625,
0.01507568359375,
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-0.0045166015625,
0.015014... | 40,866 | 40866 | |
Designing a Butterworth low-pass filter with SciPy
from scipy import signal
import math, numpy
from matplotlib import pyplot
# some constants
samp_rate = 20
sim_time = 60
nsamps = samp_rate*sim_time
cuttoff_freq = 0.1
fig = pyplot.figure()
# generate input signal
t = numpy.linspace(0, sim_time, nsamps)
freqs = [0.1... | 5 | [
-0.002655029296875,
-0.045166015625,
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-0.0184326171875,
-0.0194091796875,
-0.0028533935546875,
-0.0263671875,
-0... | 40,867 | 40867 | |
Eckmann-Hilton argument
Context
Higher category theory
Basic concepts
Basic theorems
Applications
Models
Morphisms
Functors
Universal constructions
Extra properties and structure
1-categorical presentations
The Eckmann–Hilton argument
Statements
In its usual form, the Eckmann–Hilton argument shows that a m... | 5 | [
-0.00946044921875,
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0.068359375,
0.0634765625,
-0.018798828125,
-0.014404296875,
-0.1474609375,
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-0.0299072265625,
0.115234375,
0.027099609375,
-0.02978515625,
0.04858398... | 40,868 | 40868 | |
Inequality - x on denominator
June 21st 2009, 05:04 AM #16
A fraction is positive in 2 conditions : a) Numerator and denominator both positive or b) Numerator and denominator both negative.
If one is positive and the other is negative then the fraction would be negative.
In your fraction numerator is a st... | 4 | [
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0.0279541015625,
0.0... | 40,869 | 40869 | |
Proofs of the Theorems on Circumscribable Quadrilaterals
August 17th 2010, 08:42 PM #16
Senior Member
Joined
Jul 2010
From
Vancouver
Posts
432
Thanks
16
Observe the following illustration. We have the quadrilateral ABCD. The quadrilateral's incircle's center is pt. O. Then there are the two incirc... | 4 | [
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0.007049560546875,
-0.03... | 40,870 | 40870 | |
Pipes and the Oil Shock Model
Pipes and the Oil Shock Model
No one outside of engineering seems to understand the usefulness of mathematical convolution. To me, it seems a natural operation, as obvious as other more well known statistical operators such as
auto-correlation. Yet, you can't find convolution listed in t... | 4 | [
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-0.02099609375,
0.0079345703125,
-0.000167846... | 40,871 | 40871 | |
Uncertainty Uncertainty
Uncertainty
Cholwich Nattee
Sirindhorn International Institute of Technology
Thammasat University
... | 5 | [
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0.... | 40,872 | 40872 | |
Railroad Track Expansion
Date: 04/07/2003 at 00:41:34
From: Jerry Looney
Subject: Arcs and Chords
I read the teaser in the "Ask Marilyn" column that presented the
problem of expansion of a railroad track.
A continuous straight railroad track of one mile is permanently tied
down at both ends so that neither end can m... | 5 | [
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0.125,
-0.007049560546875,
-0.00341796... | 40,873 | 40873 | |
order prpoperties
January 18th 2011, 07:59 PM #1
order prpoperties
Let k:= {s+t(sqrt)2 : s, t exist in Q (rational numbers). Show that K satisfies the following:
1. If x,y exist in K then x+y exists in K and xy exists in K
2. If x is not 0 and x is in K then 1/x is in K
(Thus the set K is a subfield ... | 5 | [
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0.0556640625,
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-0.04028320... | 40,874 | 40874 | |
Losses in Pipes
This page provides a quick review of piping losses
Bernoulli's Equation
The basic approach to all piping systems is to write the Bernoulli equation between two points, connected by a streamline, where the conditions are known. For example, between the surface of a
reservoir and a pipe outlet.
The tot... | 4 | [
0.0152587890625,
0.0634765625,
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0.049560546875,
-... | 40,875 | 40875 | |
compute the general solution (1-x)y'=y^2
compute the general solution (1-x)y'=y^2 Can anyone, solve this step by step?
Where did you get this problem? From a course in Calculus or Differential Equations? In either case you certainly should know how to integrate: [tex](1- x)y'= (1- x)\dfrac{dy}{dx}= y^2[tex] $\dfrac
{d... | 5 | [
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0.0169677734375,
-0.005157470703125,
... | 40,876 | 40876 | |
Evaluate the limit
March 8th 2010, 10:44 PM #1
Member
Joined
May 2008
Posts
77
Evaluate the limit
Evaluate the limit of
$\lim_{x \to \pi} \frac {sin^2{x}} {1+cos{3x}}$
I assume I use L'Hopital's rule here?
This gives me:
$\frac {sin{2x}} {-3sin{3x}}$
which comes to 0/0.
wanting s... | 5 | [
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-0.017578125,
0.0047607421875,
-0.00531005859375,
-0.026611328125,
0.05444... | 40,877 | 40877 | |
fourier transform of f(x)=x, for 0<x<2
March 22nd 2010, 07:24 AM #1
Junior Member
Joined
Nov 2009
Posts
31
fourier transform of f(x)=x, for 0<x<2
Hi,
I am trying to find the Fourier transform of this function
$<br /> f(x) = \left\{<br /> \begin{array}{cl}<br /> x & o \leq x \leq 2\\<br /> 0 & \t... | 5 | [
0.0054931640625,
0.060791015625,
0.056640625,
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0.06884765625,
0.034423828125,
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0.07421875,
-0.06201171875,
0.004364013671875,
0.016357421875,
-0.054931640625,
0.0341796875,
-0.0732421875,
0.04541015625,
-0.0113525390625,
0.060791015625,
-0.06787109375,
... | 40,878 | 40878 | |
Help with limits to infinity
June 11th 2011, 08:03 PM #1
Newbie
Joined
Jun 2011
Posts
2
Help with limits to infinity
I'm in a beginning calculus class after not touching math of any sort for 4 years. I've forgotten a lot of the more complicated algebra, and I'm struggling with simplifying limits right no... | 5 | [
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0.00982666015625,
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0.0162353515625,
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0.0118408203125,
0.04541015625,
-0.004638671875,
0.00885009765625,
0.004913330078125,... | 40,879 | 40879 | |
Prove Wilson's theorem by Lagrange's theorem
April 9th 2010, 05:27 PM
kingwinner
Prove Wilson's theorem by Lagrange's theorem
Lagrange's Theorem: let p be any prime and $f(x) = a_nx^n +a_{n-1}x^{n-1} + ... + a_1x + a_0$ with $a_n$ ≡/≡ 0 (mod p). Then f(x) ≡ 0 (mod p) has at most n solutions.
Use the above t... | 5 | [
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0.04931640625,
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0.0625,
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0.025390625,
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0.03369140625,
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-0.07080078125,
0.0218505859375,
-0.056396484375,
-0.080078125,
0.048583984... | 40,880 | 40880 | |
Math Forum Discussions
Re: Help Needed in math
Posted: Apr 29, 2014 5:46 PM
On Tuesday, April 29, 2014 2:03:05 PM UTC+2, Peter Percival wrote:
> William Elliot wrote:
>
> > On Mon, 28 Apr 2014, Peter Percival wrote:
>
> >> punisher wrote:
>
> >>
>
> >>> Find the largest values of the integer a for which ax^2-5x-3 is
>... | 4 | [
-0.0108642578125,
0.08056640625,
-0.041015625,
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0.027587890625,
0.00092315673828125,
0.0126953125,
0.09228515625,
0.0361328125,
0.049072265625,
0.0050048828125,
0.054931640625,
-0.01416015625,
0.0206298828125,
0.010986328125,
-0.010... | 40,881 | 40881 | |
Combinatorial proof of (a special case of) the spectral theorem?
up vote 11 down vote favorite
4
The spectral theorem for a real $n \times n$ symmetric matrix $A$ says that $A$ is diagonalizable with all eigenvalues real. If $A$ happens to have non-negative integer entries, it can be interpreted
as the adjacency matri... | 4 | [
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-0.00080108642578125,
0.022216796875,
0.05126953125,
0.007049560546875,
0.025146... | 40,882 | 40882 | |
Correlation and regression in contingency tables. A measure of association or correlation in nominal data (contingency tables), using determinants
Colignatus, Thomas (2007): Correlation and regression in contingency tables. A measure of association or correlation in nominal data (contingency tables), using determinants... | 4 | [
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0.005828857421875,
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0.0297851562... | 40,883 | 40883 | |
A jar contains 7 balls numbered from 1 to 7
A jar contains 7 balls numbered from 1 to 7. If a ball is selected at random, and the number is noted down, and a second ball is selected without replacing the first, what is the probability that
the two-digit number is even?
My Solution: if the number has to be ... | 4 | [
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0.010925292... | 40,884 | 40884 | |
Joint Probability mass problem
December 6th 2010, 02:56 PM #1
Newbie
Joined
Dec 2010
Posts
1
Joint Probability mass problem
Hello All,
This is my first time visitnig math helop forum and I was wondering if anyone could help me with a HW problem. I have posted it below. Thanks a lot:
1. The pro... | 4 | [
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0.078125,
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0.0712890625,
-0.000957489013671875,
-... | 40,885 | 40885 | |
Random Number Generation
February 25th 2009, 03:56 PM
vioravis
Random Number Generation
I am trying to generate random numbers with the the constraint that the maximum value is 40 and the most likely value is around 40% of the maximum value. Are there any distributions (lognormal??)
that would suit this requ... | 5 | [
0.0220947265625,
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0.08056640625,
0.05810546875,
0.037109375,
0.023193359375,
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-... | 40,886 | 40886 | |
Double Angle Question W/Picture.
Use the Pythagorean Identity to simplify the double angle identity you've been given so far... \displaystyle \begin{align*} \sin^2{(x)} + \cos^2{(x)} \equiv 1 \end{align*}, so that means \
displaystyle \begin{align*} \cos{(2x)} &\equiv \cos^2{(x)} - \sin^2{(x)} \\ &\equiv 2\cos^2{(x)} -... | 4 | [
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Accidental Melodies
The range of acoustic tones perceivable by humans extends roughly from 20 Hz up to 20,000 Hz (cycles per second), which is a factor of 1000. Thus, noting that 2^10 = 1024, the audible range of
frequencies represents about 10 doublings. The harmonic association of tones with doubled or halved freque... | 4 | [
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... | 40,888 | 40888 | |
Math Forum Discussions
Re: Dimension of the space of real sequences
Posted: Nov 14, 2012 2:24 AM
On 14-11-2012 5:21, David Bernier wrote:
>> Can someone please tell me how to prove that the real vector space of
>> all sequences of real numbers has uncountable dimension?
>
> Suppose the n't term of some sequence is s_... | 4 | [
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0.0859375,
0.... | 40,889 | 40889 | |
Diagonals in 3D Figures
Date: 06/21/99 at 10:48:26
From: Jamie Vassallo
Subject: Diagonals in 2D and 3D shapes
I am having great difficulty with math and require assistance. Could
you help? I have the formula n(n-3)/2, but I don't know how to justify
or prove it. Another thing is, could you please tell me the number... | 4 | [
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0.01336669921... | 40,890 | 40890 | |
EOG Review – Math _5th_
EOG Review – Math (5th)
GOAL ONE
Number Operations
How is the amount of
cake uneaten expressed
as a fraction and as a
decimal?
A 3/5 = 0.6
B 3/5 = 0.06
C 2/5 = 0.04
D 2/5 = 0.4
The coach used a digital
stopwatch to time a race... | 4 | [
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0.0703125,
0.006927490234375... | 40,891 | 40891 | |
taylor expansion of erf(x)
January 10th 2010, 07:27 AM #1
Super Member
Joined
Aug 2009
Posts
639
taylor expansion of erf(x)
how do you solve:
consider the so called error integral erf(x) for x ∈R:
erf(x)= 2/ (pi)^(1/2) integrate exp (-y) from x-x to x=0.
derive the first few terms in taylor ... | 5 | [
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0.0145263671875,
0.0225830078125... | 40,892 | 40892 | |
4 Atmospheric and Oceanic Circulation
C6.4a Topics in Fluid Mechanics 4–1
4 Atmospheric and Oceanic
Circulation
If we had to define what environmental fluid dynamics was about, we might be
tempte... | 4 | [
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Series acceleration for more complicated types of oscillating series
up vote 1 down vote favorite
Question: It is well known that the greatest integer function has a Fourier series representation. Since the greatest integer function itself is not periodic, the representation is derived from the
sawtooth wave function,... | 4 | [
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0.046630859375,
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Trick for Numbers Divisible by 3 or 9
Date: 02/24/98 at 10:39:33
From: Leon Planken
Subject: Division by 3 and by 9
A lot of people know the trick that to see if a number is divisible by
3 or by 9, the figures should be added, and if the result is divisible
by 3 or by 9, the original number was too.
I'm looking for... | 4 | [
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Solving Trig Ids
January 24th 2010, 07:14 AM #1
Newbie
Joined
Jan 2010
Posts
22
Solving Trig Ids
I'm given
cosx (tanx) = 0
and
2cos^2x + sin x = 2
The first one i did...
cosx ( sinx / cosx ) = 0
then i got rid of the cosx from sinx / cosx and got...
cos^2x ( sinx ) = 0
... | 4 | [
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Example 9.23: Demonstrating proportional hazards
A colleague recently asked after a slide suitable for explaining proportional hazards. In particular, she was concerned that her audience not focus on
the
time to event or probability of the event. An initial thought was to display the cumulative hazards, which have... | 4 | [
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Basic Algebra Review
Basic Algebra Review 9. Given ABC where m C 900 , AC 3,
and BC 4 . Find the measure of AB .
1. What is the value of... | 4 | [
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-0.0654296... | 40,898 | 40898 | |
Fraction help
March 25th 2010, 02:15 AM #1
Newbie
Joined
Mar 2010
Posts
2
Fraction help
Hi guys
I haven't done maths in years and am doing a computer programming course. I can't remember how to simplify the following equation:
(2^(k+1)+2^k) / (2^(2k+1))
I can't remember the rules regarding... | 4 | [
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