content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Surface integral.
July 18th 2010, 02:15 PM #1
Newbie
Joined
Jul 2010
Posts
3
Surface integral.
Calculate $\int {x^2 zds}$ Being S the external surface of $x^2 + y^2 = a^2$ understood between $z = -2$ and $z = 2$
Last edited by mr fantastic; July 19th 2010 at 12:03 AM. Reason: Re-titled.
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t
What is 3.75 x 32?
Student 1
1. 32 x 3 = 96
2. I think of 0.75 as 3/4, and 1/4 of 32 is 8, so 3/8 is 24
3. 96 + 24 = 120
Student 2
1. I rounded 3.75 to 4, and did 32 x 4 = 128
2. Since it’s 1/4 less, and 1/4 of 32 is 8, I subtracted 8 from 128 to get 120
Student 3
I changed the pro... | 4 | [
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Average Value of a function
February 10th 2009, 02:56 PM #1
Member
Joined
Feb 2009
Posts
125
Average Value of a function
Can someone please explain how to find the average value of a function
Say I have f(x)=X^2+2 on [1,4]. I think I have to to 1/b-a, but that is about all I know to do.
1/(a-b)... | 4 | [
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-0.01263... | 36,102 | 36102 | |
Use Lagrange multipliers to find the dimensions of a rectangular box
February 23rd 2010, 05:23 PM #1
Newbie
Joined
Feb 2010
Posts
6
Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is a constant c.
So you want to m... | 4 | [
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triangle area
November 30th 2008, 08:16 AM #1
Junior Member
Joined
Oct 2008
Posts
42
How do I make a function out of this problem?
Express the area A of a 30-60-90 triangle as a function of the length h of the hypotenuse.
The answer is (h²√3)/(8).
One side of the triangle is h cos(60°) = h/2... | 4 | [
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Invariance of curvature
February 17th 2009, 05:26 PM #1
Member
Joined
May 2008
From
Melbourne Australia
Posts
207
Thanks
20
Invariance of curvature
A curve is defined as y=f(x) and has curvature:
$\frac {y''} {(1+y'^2)^{3/2}}$
show that the curvature is invariant under rotation of the a... | 4 | [
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0.0617... | 36,105 | 36105 | |
[SOLVED] trapezoid problem area
June 4th 2008, 05:32 PM #1
Newbie
Joined
Jun 2008
Posts
2
[SOLVED] trapezoid problem area
this is a tough problem and i just can't seem to solve it. please help, thank you
there is a trapezoid EFZD. top left is E, top right is F, bottom right is Z, and bottom left is ... | 4 | [
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0... | 36,106 | 36106 | |
prime numbers
November 18th 2012, 10:37 PM #1
Newbie
Joined
Nov 2012
From
melbourne
Posts
1
prime numbers
Hi
Something i've noticed about prime numbers. If you multiply consecutive prime numbers i.e. 2x3x5=30
and then add the other consecutive primes you get a prime or a prime x prime.
... | 4 | [
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Can anyone help with this problem on Force??
September 4th 2013, 09:45 AM #1
Junior Member
Joined
Sep 2013
From
texas
Posts
73
Can anyone help with this problem on Force??
A circulur column has a diameter of 80mm outside edge and 60mm inside edge.
Both ends are fixed with equal force being applie... | 5 | [
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Help with Kunen and recursion on wellfounded sets.
November 2nd 2010, 03:51 AM
sroberts
Help with Kunen and recursion on wellfounded sets.
Hi everyone,
I'm a bit stuck on the proof (page 103-4 in Kunen's Set theory and independence book) of the existence of a functional class G for any class A wellfounded r... | 4 | [
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Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
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Teacher Exchange
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Variance of the recursive union of events
Replies:... | 4 | [
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-0.05029296875,
... | 36,110 | 36110 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
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Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Complex analysis question
Replies: 10 Last Post: J... | 5 | [
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-0.04... | 36,111 | 36111 | |
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: ----------- math reference
Replies: 3 Last Post: A... | 4 | [
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The aim of kinetic theory is to account for the properties of gases in terms of the forces between the molecules, assuming that their motions are described by the laws of mechanics (usually classical
Newtonian mechanics, although quantum mechanics is needed in some cases). The present discussion focuses on dilute ideal... | 4 | [
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0.02062988281... | 36,113 | 36113 | |
"Generators" of one-parameter groups of isometries
up vote 2 down vote favorite
Let $E$ be a Banach space, and let $(\sigma_t)$ be a strongly continuous one-parameter group on $E$: so for $t\in\mathbb R$, we have that $\sigma_t$ is a contraction on $E$, $\sigma_t \sigma_s=\
sigma_{t+s}$, $\sigma_0$ is the identity, an... | 4 | [
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0.01416015... | 36,114 | 36114 | |
Tangent plane, parametric equation of the normal
July 31st 2009, 09:45 PM
arbolis
Tangent plane, parametric equation of the normal
I must calculate 2 tangent vectors (not parallel between themselves) to the surface $z$ in $(1,2,4)$. Then find the tangent plane's to the surface $z$ in $(1,2,4)$ and I must find th... | 5 | [
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-0.0903320... | 36,115 | 36115 | |
Need help with exponential equations
December 12th 2012, 03:06 AM #1
Newbie
Joined
Dec 2012
From
at Home
Posts
9
2^x + 2^x+1 + 2^x+2 = 56
The solution is the following:
2^x + 2 * 2^x+ 4 * 2^x = 56
Why is that? I don't understand how it came to this. Where did the 4 come from? How come t... | 4 | [
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Super challenging definite Integral
December 30th 2011, 06:51 AM #1
Newbie
Joined
Dec 2011
Posts
19
Super challenging definite Integral
I need to solve:
$\int_{-\pi \over 2}^{\pi \over 2} \frac{1}{2007^x+1}\cdot \frac{\sin^{2008}(x)}{\sin^{2008}(x)+\cos^{2008}(x )}dx$
This integral is beyond my... | 5 | [
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Homework Help
Posted by Jessica on Tuesday, March 6, 2012 at 2:11pm.
1.Determine the maximum value of the function f(x)= 5^x -x^5 on the interval 0≤x≤≤2.
2. Determine the minimum value of the function f(x)= e^(-x) - 2e^x on the interval -1≤x≤2.
• Calculus - Steve, Tuesday, March 6, 2012 at 2:54pm
you know tha... | 5 | [
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... | 36,118 | 36118 | |
My Additional Mathematics Modules - Form 4 - Statistics (Version 2012)
Additional
Mathematics
Form 4
Topic: 7
DECISIVE
(Version 2012)
by
NgKL
(M.Ed.,B.Sc.Hons.,Dip.Ed.,Dip.Edu.M... | 4 | [
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Why is this set stationary?
up vote 5 down vote favorite
Hi
I really need a proof for the following statement by Baumgartner:
There exists a stationary subset of $[\omega_2]^{\omega}$ of size $\aleph_2$.
This is Exercise 38.15. in Jechs Book (2003) and you can find a hint there which goes like this: For each $\alph... | 5 | [
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Classifying Cubics into Three Basic Types
Date: 08/11/2002 at 15:42:55
From: Morris Waehlti
Subject: Classifying Cubics into three basic types
Hi,
Evidently any cubic can be classified both algebraically and
graphically by applying a translation and/or a y-scaling and/or an
x-scaling to one of the following three ba... | 4 | [
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0.020629... | 36,121 | 36121 | |
functions differenciate
August 23rd 2007, 05:34 PM #1
Newbie
Joined
Aug 2007
Posts
2
functions differenciate
im terrible @ math. please help me with this!
given 2 functions: f(x) = 2x, g(x) = -2x²+5x
im supposed to determine the following
g(f)
inverse of g
g (g inverse)
the dif... | 5 | [
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Chapter 8 Exploring Polynomial Functions
Chapter 8
Exploring Polynomial Functions
Jennifer Huss
8-1 Polynomial Functions
• The degree of a polynomial is determined by the greatest exponent
when there is only one variable (... | 4 | [
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solving a system using A^-1
May 13th 2010, 06:04 AM
swiftshift
solving a system using A^-1
Let A =
1 0 -1
2 1 -2
0 1 1
find A^-1 of the above matrix using inverse matrices and hence solve the bottom 2 systems:
x - z = 3
2x + y - 2z = 0
y + z = 15
2x - y = 1
3x - y + z = -2... | 4 | [
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Closure Problem
December 9th 2007, 09:09 AM
mpetnuch
Closure Problem
Hello everyone.
I am trying to prove that if $A \subseteq X$ is dense then for any open $T$ we have $T \subseteq Cl(A \cap T)$. I tried assuming not, and I arrive at the statement $t \in A^c$ and I can't see why
that would be a contrad... | 4 | [
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"Lie algebra" for a general group ?
up vote 21 down vote favorite
6
Is there analog of Lie algebra for the case of topological groups which are not necessarily differentiable manifolds, and in particular for finite groups? here by "analog" i mean that it should have
similar kind of relations to given group as of a fin... | 4 | [
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Fast Shadows on Rectangles
back
Michael Herf
December 2001
December 2006 (Christmas!) update: Here's the code I gave to Andrew at DeviantArt back in 2001 (something similar to this makes the shadowed thumbnails on their site). The one I use for myself is
more nicely encapsulated (no global variables and nicer encaps... | 4 | [
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-0.040771484375,
-0.05517578125,
-0.037109375,
0.0218505859375,
0.03662109375,
0.03173828125,
0.0145263671875,
-0.01611328125,
0.0234375,
0.0224609375,
0.11865234375,
-0.... | 36,127 | 36127 | |
Finding Least Common Multiple for Day Problem
Date: 01/14/2004 at 19:52:32
From: Linda
Subject: calendar - when a 7day and 10day fall on same day
Club A meets every 7 days. Club B meets every 10 days. In how many
days will the clubs meet on the same day? I used a calendar to figure
this out, but there must be a ma... | 4 | [
0.01263427734375,
-0.0242919921875,
0.049560546875,
0.0341796875,
-0.04541015625,
0.06494140625,
0.0078125,
-0.04931640625,
-0.04443359375,
-0.06396484375,
-0.0145263671875,
-0.09521484375,
0.0244140625,
0.07275390625,
0.11083984375,
0.00738525390625,
-0.0693359375,
0.0159912109375... | 36,128 | 36128 | |
System non-linear ODE's
January 23rd 2010, 02:20 PM
idaios
System non-linear ODE's
Hi all,
I have a dynamical system of two non-linear autonomous ODE's.
The general form is
q'[t] = F_1(q,z)
z'[t] = F_2(q,z)
Actually, I'm interested in the function q[t], given some initial conditions q[0] an... | 5 | [
-0.15234375,
0.029541015625,
-0.01336669921875,
0.07470703125,
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0.056396484375,
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0.0458984375,
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0.05224609375,
0.0130615234375,
-0.0634765625,
-0.010498046875,
-0.044677734375,
-... | 36,129 | 36129 | |
How to factor this square root out?
May 11th 2010, 12:57 PM
chutsu
How to factor this square root out?
Hi
So I have this seemingly simple, but I just don't see how this works?
$<br /> \frac{C[(M_1 + M_2) \pm \sqrt{(M_1 + M_2)^2 - (M_1 M_2)(Ka)^2}]}{(M_1 M_2)}<br />$
To
$<br /> \frac{C(M_1 + M... | 5 | [
-0.0086669921875,
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0.01214599609375,
0.056396484375,
-0.02490234375,
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0.06787109375,
0.025390625,
0.010009765625,
0.05517578125,
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0.06787109375,
0.00567626953125,
-0.04443359375,
0.1103515625,
0.050048828125,
0.072265625,... | 36,130 | 36130 | |
Homework Help
Posted by Jeconiah on Tuesday, February 19, 2013 at 5:56am.
simpliy the following: (a) {[4x^2-49]/[8x^3+27]} *{ [4x^2+12x+9]/[2x^2-13x+21]} (b) {[x^2+x-6]/[x^2+7x-6]}*{[20x^2-7x-3]/[6x^2-25x+4]}*{[4x^2-11x-3]/[6x^2-19x+3]}
• Algebra - Steve, Tuesday, February 19, 2013 at 11:57am
Here's (a):
... | 4 | [
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0.06787109375,
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0.0118408203125,
-0.0703125,
0.05810546875,
-0.107421875,
0.03637695... | 36,131 | 36131 | |
Social Networks
From Math Images
(Difference between revisions)
← Previous diff Next diff →
Line 247: Line 247:
The Configuration Model algor... | 4 | [
-0.0673828125,
-0.022216796875,
0.040283203125,
-0.042236328125,
0.0177001953125,
-0.08349609375,
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0.032958984375,
0.0203857421875,
0.04736328125,
-0.056396484375,
-0.002197265625,
0.0126953125,
-0.0498046875,
-0... | 36,132 | 36132 | |
Semisimple-ish rings!
up vote 6 down vote favorite
2
Let S be the class of all rings R which have 1 and satisfy this condition:
for every "non-zero" right ideal I of R there exists a "proper" right ideal J of R such that I + J = R. (The + here is not necessarily direct.)
All semisimple rings are in S and (commutativ... | 5 | [
-0.03271484375,
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0.031494140625,
0.027587890625,
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0.006134033203125,
0.09716796875,
-0.05078125,
0.021240234375,
-0.072265625,
0.045166015625,
0.0510253906... | 36,133 | 36133 | |
Value of a normal random variable.
June 17th 2009, 09:27 PM
shinn
Value of a normal random variable.
I just got another quick question related to this.
"Nominal 375mL cans of soft drink have a mean content slightly above this value so that the stated contents are exceeded most of the time. Suppose the conte... | 5 | [
-0.0103759765625,
0.034423828125,
0.05908203125,
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0.002777099609375,
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0.044677734375,
0.0250244140625,
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0.07958984375,
-0.005035400390625,
0.01409912109375,
-0.0223388671875,
0.0947265625,
... | 36,134 | 36134 | |
References for Eilenberg-Zilber shuffle product
up vote 8 down vote favorite
2
Most of the treatments I can find in the literature for the Eilenberg-Zilber shuffle product approach it from the point of view of simplicial sets (including the original Eilenberg-MacLane paper). I
was wondering if anyone knows of a refere... | 4 | [
-0.07080078125,
-0.0172119140625,
-0.005828857421875,
-0.10546875,
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0.09130859375,
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0.07275390625,
-0.0228271484375,
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0.095703125,
0.041748046875,
-0.005340576171875,
0.0244140625,
0.0556640625,
0.09619140625,
-0.05859375,
0.094238281... | 36,135 | 36135 | |
Finding a Parametric Function
October 5th 2010, 07:03 PM #1
Newbie
Joined
Feb 2010
From
Rez
Posts
21
Finding a Parametric Function
Hello,
I have a function f, defined parametrically. What exactly the function is can vary, but right now I'm trying to work on a quarter-circle of radius R, so
$... | 4 | [
-0.1513671875,
-0.028076171875,
-0.05615234375,
-0.02392578125,
-0.0135498046875,
0.019775390625,
-0.027587890625,
0.12890625,
-0.0380859375,
0.0150146484375,
0.047119140625,
0.020263671875,
-0.019287109375,
0.03857421875,
0.041015625,
-0.019287109375,
-0.0037841796875,
-0.09667968... | 36,136 | 36136 | |
integration of quotient
September 16th 2008, 02:22 AM #1
Newbie
Joined
May 2008
Posts
13
integration of quotient
if anyone could help me with the integration of this quotient it would be greatly appreciated.
i have tried and tried but just cant get the right integral
$<br /> \int \frac{x+2}{x^2... | 4 | [
-0.015625,
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0.0133056640625,
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-0.01434326171875,
0.0810546875,
0.04150390625,... | 36,137 | 36137 | |
find function and solve max problem
March 2nd 2007, 08:28 PM #1
Newbie
Joined
Feb 2007
Posts
23
find function and solve max problem
Suppose this fox wants to try and kill a rabbit. He has a catapult which is capable of launching a rock at 70 m/s. The fox found a completely flat spot on cartoon land (whic... | 5 | [
0.10107421875,
0.038818359375,
0.029296875,
-0.046875,
-0.016357421875,
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0.08837890625,
-0.0810546875,
0.061767578125,
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0.0296630859375,
0.07861328125,
-0.01434326171875,
0.037353515625,
-0.003936767578125,
-0.0177... | 36,138 | 36138 | |
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Topic: Precompactness
Replies: 9 Last Post: Dec 13, 2012 ... | 5 | [
-0.030029296875,
0.0098876953125,
-0.007354736328125,
0.016357421875,
0.068359375,
0.0693359375,
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0.047119140625,
0.038330078125,
0.01422119140625,
-0.004547119140625,
0.04833984375,
0.00543212890625,
0.0028839111328125,
0.07275390625,
-0.025146484375,
0.0019989013671875... | 36,139 | 36139 | |
Any irreducible component of the HIlbert scheme contains an irreducible element
up vote 1 down vote favorite
2
Consider $Hilb_{d,g}$ the Hilbert scheme of curves in $\mathbb{P}^3$ of degree $d$ and genus $g$. Is it true that if $L$ is an irreducible component of $Hilb_{d,g}$ then there exists a curve $C \in
L$ such th... | 5 | [
0.01611328125,
-0.053955078125,
0.00848388671875,
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0.04150390625,
0.006683349609375,
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0.019287109375,
-0.0242919921875,
-0.0869140625,
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-0.0012969970703125,
-0.05859375,
-0.047607421875,
0.0458984375,
-0.0023345947265625,
-0.067382... | 36,140 | 36140 | |
[SOLVED] Need help solving a system of equation
Trying to figure out how they are coming up with 2,3 and not 5,3 Thanks 4x+3y=17 2x+3y=13
Nevermind, rather than adding the bottom equation they subtracted it which makes it come out to 2,3
subtract the 2nd equation from the 1st you'll get 2x = 4 after solving you'll ge... | 4 | [
-0.09130859375,
0.00799560546875,
-0.0233154296875,
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0.080078125,
0.004730224609375,
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-0.03173828125,
-0.0341796875,
0.0084228515625,
0.10205078125,
-0.048095703125,
0.0361328125,
-0.027099609375,
0.027587890625,
0.0693359375,
-0.10546875,
-0.01263427... | 36,141 | 36141 | |
Trigonometric Identity - All that Good Stuff!
November 8th 2009, 09:35 AM
saintv
Trigonometric Identity - All that Good Stuff!
Well guys, I really would appreciate it were someone able to prove to me this:
cos^2x-sin^2x = (1-tan^2x)/(1+tan^2x)
I think the left side equals cos(2x), but I'm not even sure... | 4 | [
-0.036376953125,
0.08154296875,
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0.0146484375,
0.0439453125,
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0.01373291015625,
0.0615234375,
0.0546875,
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-0.00408935546875,
0.037841796875,
-0.0034332275390625,
-0.0026702880859375,
0.0771484375,
0.044... | 36,142 | 36142 | |
Rationale for Hadamard's finite part of a divergent integral
up vote 7 down vote favorite
2
(Note: I asked this question a few days ago on math.stackexchange but didn't get any responses. I've therefore decided to post it here instead.)
I have a problem justifying the throwing away the divergent term in order to obta... | 5 | [
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0.01190185546875,
-0.0302734375,
-0.003570556640625,
0.01544189453125,
-0.035... | 36,143 | 36143 | |
annihilator/common left multiple of matrix polynomials
up vote 4 down vote favorite
2
Let $A_{n,d}$ be the space of polynomials of degree $d$ or less whose coefficients are real $n\times n$ matrices --- or, if you prefer, the space of matrices whose entries are degree-$d$ polynomials.
Given $A(z),B(z)\in A_{n,d}$, the... | 4 | [
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0.08203125,
-0.033203125,
0.020263671875,
... | 36,144 | 36144 | |
help finding sum of series
April 30th 2009, 01:11 AM
adhyeta
help finding sum of series
got 2 series.
1.
1^2 - 2^2 + 3^2 - 4^2 + ................. 99^2 - 100^2
(ok those are just squares)
2.
1.1! + 2.2! + ....... 50.50!
need to find sum...
April 30th 2009, 03:07 AM
pickslides
... | 4 | [
-0.052001953125,
0.0289306640625,
0.02880859375,
-0.06103515625,
-0.00946044921875,
0.03857421875,
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0.06884765625,
-0.0020294189453125,
0.015625,
-0.01019287109375,
-0.007232666015625,
0.0126953125,
0.000518798828125,
-0.0341796875,
-0.0191650390625,
0.0546875,
-0.0529... | 36,145 | 36145 | |
Sum over Hypergeometric function 2F1 (generating function)
up vote 0 down vote favorite
Dear mathematicians,
in my current research project I came accross this very bothersome sum over a rather simple hypergeometric function, or formulated differently: a sum over squared binomial coefficients:
$\sum_{b=0}^\infty Y^b... | 5 | [
0.00677490234375,
-0.0308837890625,
-0.01513671875,
0.0186767578125,
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0.068359375,
-0.09130859375,
0.03662109375,
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-0.025146484375,
0.008056640625,
0.0302734375,
0.109375,
-0.010498046875,
-... | 36,146 | 36146 | |
Surface area of revolution [another question]
March 8th 2010, 09:41 AM #1
Member
Joined
Oct 2008
Posts
157
Surface area of revolution [another question]
The curve $C$ has equation
$y =\frac{1}{2}x^2$.
a] use the substitution $x=sinhu$ to evaluate the arc length of $C$ correct to 2 decimal place... | 4 | [
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0.01263427734375,
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0.109375,
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0.0169677734375,
-0.033935546875,
0.046875,
0.0159912109375,
-0.026... | 36,147 | 36147 | |
induction help
April 19th 2010, 01:42 AM #1
Super Member
Joined
Oct 2007
From
Santiago
Posts
517
induction help
Hey guys, im really struggling with induction. Question: Use induction to prove that 1 + 7 + 19 +..... + ( $3n^2 - 3n + 1$) = $n^3$ for all positive integers $n$ by completing the following... | 5 | [
-0.057861328125,
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0.0625,
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-0.0308837890625,
0.0277099609375,
0.... | 36,148 | 36148 | |
Ploynomial...
January 25th 2011, 05:43 AM #1
Junior Member
Joined
Jan 2011
Posts
58
Ploynomial...
Not sure if im going mad but struggling with this
(a) Write down the polynomial P in x, y such that:
x^6 − y^6 = (x^2 − y^2)*P.
Many thanks in advance.
Hint :
Denote $t=x^2$ and $a=y^2... | 4 | [
-0.01226806640625,
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0.0263671875,
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0.06689453125,
-0.11669921875,
0.05322... | 36,149 | 36149 | |
How big can the irreps of a finite group be (over an arbitrary field)?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let G be a nontrivial finite group. Does there exist an irreducible representation of G of dimension ... | 5 | [
0.023681640625,
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0.040771484375,
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0.00186920166015625,
-0.046630859375,
-0.00482177734375,
-0.00039672... | 36,150 | 36150 | |
Big Oh question
November 22nd 2011, 07:52 PM #1
Junior Member
Joined
Oct 2009
From
London
Posts
42
Big Oh question
I am trying to prove an idientity I have come accross in a book:
$\log\left(\log t-\log\log t+O\left(\frac{\log\log t}{\log t}\right)\right)=\log\log t-\frac{\log\log t}{\log t}-\fr... | 4 | [
0.02685546875,
-0.000675201416015625,
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0.0576171875,
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0.000008821487426757812,
0.00885009765625,
0.060302734375,
0.055419921875,
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0.103515625,
0.0174560546875,
0.0189208984375,
0.038330078125,
0.033935546875,
-0.0025939... | 36,151 | 36151 | |
Trouble with Integration
July 11th 2011, 06:27 AM #1
Trouble with Integration
f:R ---> R is a continuous function and f(x) = f(2x) is true for all real numbers
If f(1)=3 then find the value of
$\int_{-1}^{1}f[f(x)] dx$
Re: Trouble with Integration
Necessary condition: Taking into account that $g(x)=... | 5 | [
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0.038330078125,
0.007720947265625,
-0.043212890625,
0.032958984375,
0.0... | 36,152 | 36152 | |
Modular Inversion
August 27th 2010, 07:47 PM #1
Modular Inversion
I have another problem from computational number theory.
Given $\alpha_1,\alpha_2,\ldots, \alpha_k\in \mathbb{Z}_n$, show how to compute $\alpha_1^{-1}, \alpha_2^{-1}\ldots, \alpha_k^{-1}$ by computing only one inverse and using at most $3k$
... | 4 | [
-0.064453125,
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-0.087890625,
0.0654296875,
0.04052734375,
... | 36,153 | 36153 | |
Rational Function Inequality
October 11th 2009, 05:00 PM
Isimbot
Rational Function Inequality
3x-5
______ -1 is less than or equal to 0
x - 3
Doesn't the -1 change everything? What would be a zero normally, is now a negative one. So should I find the zeros without considering the -1 then add 1 t... | 4 | [
-0.109375,
0.004241943359375,
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0.07421875,
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0.037109375,
0.0174560546875,
-0... | 36,154 | 36154 | |
Math Help
I have a problem i dont have the solution manual too and i am stumped on how to complete.
This could be a trigonometric substitution?
$\int_1^2 \frac {dx}{x \sqrt {4 + x^2}}$
this is what i came up with but i dont think its right..
$x = 2 tan \theta$
$dx = 2 sec^2 \theta$
an... | 4 | [
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0.0400390625,
0.1088867... | 36,155 | 36155 | |
Which of the following describes the behavior of y=(x+2)^(1/3(
December 15th 2009, 09:10 PM
craz
Which of the following describes the behavior of y=(x+2)^(1/3(
Which of the following describes the behavior of y=(x+2)^(1/3)
a) cusp
b) corner
c) vertical tangent
how do you prove it/figure it out?... | 4 | [
-0.03955078125,
-0.0869140625,
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0.0478515625,
0.00170135498046875,
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0.0439453125,
0.078125,
0.0230712890625,
0.08544921875,
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0.00154876708984375,
0.05029296875,
0.050048828125,
0.0032501220703125,
-0.0888671875,
-0.030639648... | 36,156 | 36156 | |
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Topic: The Human Voice's Mathematical Frequency - Part 12... | 4 | [
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0.048828125,
... | 36,157 | 36157 | |
Find complete set of integer solutions
January 28th 2011, 07:11 PM #1
Member
Joined
Jan 2011
Posts
79
Find complete set of integer solutions
Find the complete set of integer solutions in x and y to
821x + 1997y = 24047:
Determine all solutions with x > 0 and y > 0.
I started by finding th... | 5 | [
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0.0179443359375,
0.056640625,
0.0220947265625,
-0.06982421875,
-0.036621... | 36,158 | 36158 | |
A problem from a grade 9 math competition
March 19th 2009, 01:57 AM #1
A problem from a grade 9 math competition
I don't know whether I posted in the proper forum.
This is a question from a 2009 grade 9 math competition.
The question
Starting with the input (m,n), Machine A gives the output (n,m).
... | 4 | [
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0.08349609375,
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0.0... | 36,159 | 36159 | |
Modular arithmetic
February 28th 2010, 09:03 AM
integral
Modular arithmetic
$\textrm{I\; am\; trying\; to\; learn\; modular\; arithmetic,\; and\; this\; right \; here\; stumped\; me.}$
$<br /> 10\cdot(-13)+27\cdot 6\equiv-122\mathrm{mod}2$
$<br /> <br /> \textrm{I\; thought\; It\; would\; go\; like\; thi... | 4 | [
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0.0037841796875,
0.1064453125,
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0.10546875,
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0.050537109375,
0.041748046875,
-0.0205078125,
-0.0478515625,
-0.0844726562... | 36,160 | 36160 | |
Square Roots and Irrational Numbers
Date: 10/08/97 at 17:00:17
From: Terry Dobbins
Subject: Irrational numbers
My question is: Will all square roots of positive numbers that
are not perfect squares be irrational numbers?
I am a new teacher and this was asked of me by another teacher.
I think that it is a true state... | 4 | [
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0.0206298828125,
-0.00793457... | 36,161 | 36161 | |
Stein's method proof of the Berry-Esséen theorem
up vote 3 down vote favorite
2
The relevant paper is "An estimate of the remainder in a combinatorial central limit theorem" by Erwin Bolthausen. I would like to understand the estimate on page three right before the sentence
"where we used independence of $S_{n-1}$ and... | 4 | [
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0.0252685546875,
-0.12060546875... | 36,162 | 36162 | |
Evaluating improper integral
November 11th 2009, 05:31 AM #1
Junior Member
Joined
Oct 2009
Posts
30
Evaluating improper integral
$\int_e^{\infty} \frac{1}{x(\ln x)^3} dx$
First i made a u-substitution by making u = ln x.
After which i got $-\frac{1}{2(\ln x)^2}$
Then i went back to compute t... | 5 | [
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Pi and the primes: a pattern related to the Ulam spiral
up vote 14 down vote favorite
4
I have recently been considering the spiral packing pattern (illustrated here) which often appears in plants, and arises by placing the n^th point at distance n from the origin and angle 2nπ/φ where
φ is the golden ratio. I wondere... | 4 | [
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-0.022094726562... | 36,164 | 36164 | |
Szőkefalvi-Nagy's unitarizability theorem in the Calkin algebra?
up vote 22 down vote favorite
8
Here's a research problem, which I think interesting. Suppose that $t$ is an invertible element in the Calkin algebra $\mathcal{Q} = \mathcal{B}(\ell_2)/\mathcal{K}(\ell_2)$ which satisfies $\sup_{n
\in \mathbb{Z}} \|t^n\|... | 4 | [
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0.04125976562... | 36,165 | 36165 | |
A factorisation question
Factorise : (b-c)(b^3 + c^3) + (c-a)(c^3 + a^3) + (a-b)(a^3 + b^3)
Hello, anshulbshah! I expanded it, then repeatedly factored "by grouping". If there is a more direct way, I hope someone finds it. Quote: Factor: . $(b-c)(b^3 + c^3) + (c-a)(c^3 + a^3) + (a-b)(a^3 +
b^3)$ $b^4 - b^3c + bc^3 - c... | 5 | [
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... | 36,166 | 36166 | |
Integration Problem
August 2nd 2009, 02:56 PM
Ian1779
Integration Problem
Hi
I am stuck on this problem integrating the following.
$\int\frac{arctan (x)}{1+x^2}dx$
In order to integrate should I be integrating by parts and seperating the function into $arctan(x)\cdot\frac{1}{1+x^2}$
Or should... | 5 | [
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... | 36,167 | 36167 | |
Egg Doubling Problem; UK & US: Naming Large Numbers
Date: 5/6/96 at 19:39:11
From: Roy Cole
Subject: Egg doubling problem
Dear Dr. Math,
If you have rectangles that are twenty-three by eighty-nine, you have
one egg. The first time you double you have two eggs. The second time
you have four eggs. The third you have... | 4 | [
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-0.0412597... | 36,168 | 36168 | |
Finding the Center of Two Points in Latitude/Longitude Form
Date: 08/11/2006 at 07:02:46
From: Sam
Subject: Center Of Two Latitude Points
Hi,
How can I calculate the center (expressed as a latitude value) of two
latitude points? I want to find the center of a rectangle expressed
in longitude and latitude. The rect... | 5 | [
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0.060546... | 36,169 | 36169 | |
2 probability theory questions!
March 7th 2008, 06:36 PM #1
Junior Member
Joined
Feb 2008
Posts
63
2 probability theory questions!
1)A small manufacturer sells 1 car each month with a probability of 0.3; it sells 2 cars each month with a probability of 0.1 and never sells more than 2 cars per month. Let ... | 4 | [
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0.0240478515625,
0.0693359375,
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-0.... | 36,170 | 36170 | |
Assistance on algebra word problem
March 1st 2013, 01:39 PM
green11
Assistance on algebra word problem
The square of a number is just the number times itself. For example, the square of 4 is 16
A.Calculate the squares of 1,2,...,9 and many other whole numbers, including 17, 34, 61, 82, 99, 123, 255, 386, an... | 4 | [
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0.0... | 36,171 | 36171 | |
Vigorous actions on the Cantor set
up vote 9 down vote favorite
2
This is related to my previous question here:
Antichains and measure-preserving actions on Boolean algebras
This time I will ask something more precise.
Let $G$ be a group acting by homeomorphisms on the standard Cantor set $X$ (or if you prefer, $G$... | 5 | [
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[SOLVED] Prove 1 + 1/2 + 1/3 + ... + 1/n > 2n/n+1
Prove that: 1 + 1/2 + 1/3 + ... + 1/n > 2n/n+1 where n > 2
This will be a proof by induction For the base case let n=2. $1+\frac{1}{2}>\frac{2(2)}{2+1}$ So $\frac{3}{2}>\frac{4}{3}$ which is true so the base case holds Now we'll assume the statement is true
for n and ... | 5 | [
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0.062255859375,
... | 36,173 | 36173 | |
Tough question
I'm not strong with this, i need some help: 2(1-sin(b)sin(c)) = cos^2(b) + cos^(c) when b+c = 180
Your clue lies in "b+c=180 degrees", as now c=180-b. sin(angle) gives the vertical co-ordinate in a circle of radius 1, centre (0,0). Hence sin(b)=sin(180-b). Therefore your equation becomes $2\left
(1-sin^... | 4 | [
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Multivariable Chain Rule Help!
October 13th 2009, 10:09 PM #1
Newbie
Joined
Oct 2009
Posts
24
Multivariable Chain Rule Help!
Suppose f is a differentiable function of x and y, and g(r,s) = f(2r-s,s^2-4r). Calculate dg/dr at (1,2) and dg/ds at (1,2) given that f(1,2)=6, g(1,2)=3, df/dx(1,2)=2 and df/dy(1,... | 5 | [
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0.043701171875,
-0.01397705078125,
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0.0537109375,
-0.08447265625,
0.01806... | 36,175 | 36175 | |
polarization formula for homogeneous polynomials
up vote 5 down vote favorite
2
given a homogeneous polynomial p of dgree n on $R^d$, there is a unique symmetric n-linear functional $B$ on $(R^d)^n$ such that $p(x)=B(x,..,x)$. The question is: Can we get $B$ by means of a
polarization formula as in the case $n=2$ for ... | 5 | [
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0.06689453125,
0.08349609375,
0.0791015625,
-0.033935546875,
0.05444335... | 36,176 | 36176 | |
Eiffel Tower: Geometry
Geometry and Materials
The Tower is made exclusively of wrought iron, although steel was available at the time. Eiffel chose iron because steel was more expensive since it was a new development, and also beca... | 4 | [
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0.05517578125,
0.0045166015625,
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0.037109375,
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0.00411987... | 36,177 | 36177 | |
Math Forum Discussions - Re: Why study Egyptian fraction math?
Date: Nov 4, 2012 7:51 AM
Author: Milo Gardner
Subject: Re: Why study Egyptian fraction math?
A longer Planetmath paper makes the same points:
http://planetmath.org/encyclopedia/EgyptianFraction2.html
Prior to 2050 BCE Old Kingdom Egyptians rounded off t... | 5 | [
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0.010498046875,
0.... | 36,178 | 36178 | |
Triviality of SK_0(Lambda) for Lambda an order in a group algebra over a $p$-adic field
up vote 1 down vote favorite
CR refers to Methods of Representation Theory by Charles Curtis and Irving Reiner.
Let $F$ be a finite extension of $\mathbb{Q}_p$ with valuation ring $\mathcal{O}_F$. Let $G$ be a finite group and let... | 5 | [
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0.05322265625,
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0.04833984375,
-0.038818359375,
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Area of Triangles When Altitudes Are Given
Date: 12/16/2002 at 02:39:51
From: Ridhi Kashyap
Subject: Area of Triangles when altitudes are given
Dear Dr. Math,
I was wondering how to find the area of a triangle when the lengths of
all three altitudes are given.
An example: Find the area of a triangle with altitudes ... | 5 | [
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0.10009765625,
-0.03466796875,
0.03784179687... | 36,180 | 36180 | |
Ellipse Specification Using Vectors
Trigonometric Splines
For the purpose of the application I present here, think of splines as a means used to mathematically "connect the dots" with a smooth curve in some application where you are interested in defining a
curve of arbitrary shape using movable points to control the ... | 4 | [
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0.0498046875,
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0.017578125,
0.02... | 36,181 | 36181 | |
Linear Algebra Special Matrices Problem!
September 1st 2008, 02:13 PM
Skerven
Linear Algebra Special Matrices Problem!
What 2 by 2 matrix P projects the vector (x,y) onto the x axis to produce (x,0)?
What matrix Q projects onto the y axis to produce (0,y)?
If you multiply (5,7) by P and then multiply by ... | 4 | [
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0.031494140625,
0.0211181640625,
0.025146484375,
-0.039794921875,
-0.0029449462890625,
0.057861328125,
0.05517578125,
0.009033203125,
-0.00946044921875,
0.12353515625,
-0.03515625,
0.09765625,
-0.095703125,
-0.014831542968... | 36,182 | 36182 | |
Solving for x in a matrix
April 5th 2012, 05:43 AM #1
Member
Joined
Nov 2010
Posts
119
Solving for x in a matrix
Solve the following equation for x
| x a x b |
| b x a x | = 0
| x b x a |
| a x b x |
(Determinant equals zero). I'm not sure how to do this and any help would be apprec... | 4 | [
-0.01318359375,
-0.031494140625,
-0.037353515625,
-0.11181640625,
-0.02392578125,
0.025390625,
0.045654296875,
-0.06298828125,
-0.0277099609375,
-0.0181884765625,
0.08203125,
-0.0286865234375,
0.0269775390625,
0.0283203125,
0.025634765625,
0.130859375,
0.036376953125,
-0.0466308593... | 36,183 | 36183 | |
Basic Mortgage Math Question
April 18th 2012, 09:58 AM #1
Basic Mortgage Math Question
I was using a Mortgage calculator that displays the steps used to arrive at the answer, but I have a question on one of the basic steps. It reads
You want the loan payment schedule for the following loan:
□ Amount o... | 5 | [
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0.03515625,
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... | 36,184 | 36184 | |
Helly's number from biconvex functions
up vote 1 down vote favorite
Helly's Theorem states the following. Suppose $X_1,X_2,...,X_N$ are convex sets in $\mathbb{R}^d$, such that for any index-set $I$ with $|I| \leq h(d) := d+1$, we have $\bigcap_{i \in I} X_i \neq \
varnothing$. Then $\bigcap_{i=1}^N X_i \neq \varnothi... | 5 | [
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0.10986328125,
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0.0166015625,
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0.048828125,
0.06494140625,
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0.031982421875,
0.0194091796875,
-0.05175... | 36,185 | 36185 | |
law of large number
January 20th 2011, 08:16 PM #1
Newbie
Joined
May 2010
Posts
12
law of large number
I have problem with the following question
Let $\xi_1, \xi_2,...$ be independent and identically distributed random variables with $E|\xi_i|< \infty$. Show that
$E\left(\xi_1|S_n,S_{n+1},...\r... | 5 | [
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0.0439453125,
-0.02734375,
-0.016... | 36,186 | 36186 | |
Ornstein-Uhlembeck coditioned to be positive
up vote 2 down vote favorite
1
Let us consider $X$ to be an Ornstein–Uhlenbeck process, i.e. the solution of $\text{d}X_t = \text{d}W_t - X_t \text{d}t$. We define $Y$ by
$$\mathbb{P}(Y\in \cdot):= \lim_{t\to+\infty}\mathbb{P}(X\in \cdot|\forall_{s\leq t}X_s \geq 0).$$
I ... | 5 | [
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0.000408172607421875,
0.055419921875,
0.076171875,
0.11669921875,
-0.08007812... | 36,187 | 36187 | |
A Novel Approach for Optimal Allocation of a Distributed Generator in a Radial Distribution Feeder for Loss Minimization and Tail End Node Voltage Improvement during Peak Load
Maruthi Prasanna. H. A.^1, , Likith Kumar. M. V.^2, T. Ananthapadmanabha^3
^1Assistant Engineer (Ele), Karnataka Power Transmission Corporatio... | 4 | [
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0.054443359375,
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0.048095703125,
0.053466796875,
-0.011962890625,
0... | 36,188 | 36188 | |
An application of the residue theorem
August 31st 2009, 12:58 AM #1
An application of the residue theorem
I have a question about an application of the residue theorem to real definite integrals.
In "COMPLEX ANALYSIS" by Ahlfors, there is the following statement:
The integral
$<br /> \int_{-\infty}^\... | 5 | [
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0.078125,
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0.004669189453125,
... | 36,189 | 36189 | |
Help! Solving of Equations by the Elimination Method
Please help me with this given equations. click on the attachment thnx
These are all essentialy the same so I will show how to solve one of them and leave the rest for you. 1) 3x + 2y = -2 4x - 5y = 5 Choose one abd rearrange into the form y = ... Here I will use th... | 4 | [
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-0.060546875,
-0.0269775390625,
0.0419921875,
0.076171875,
0.04443359375,
0.048095703125,
0.00848388671875,
0.0145263671875,
0.0927734375,
-0.078125,
-0.018798828125,
... | 36,190 | 36190 | |
How to determine coefficient in irreducible polynomial? HELP!!
April 2nd 2009, 06:07 PM #1
How to determine coefficient in irreducible polynomial? HELP!!
Here is my problem:
Say if I have a irreducible polynomial for $GF(2^2)$ that is $x^2 + Nx + 1$, (N = elements of $GF(2)$) how do I determine the possible ... | 5 | [
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0.07275390625,
0.00933837890625,
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0.0157470703125,
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0.01519775390625,
-0.0184326171875,
-0.027099609375,
-0.013427734375,
-0.1142578125,
-0.05322265625,
-0.0279541015625,
-0... | 36,191 | 36191 | |
Inverse of (1+x) ln(1+x) - x
up vote 1 down vote favorite
2
Define g(x) = (1+x) ln(1+x) - x. One can check that g is strictly monotonically increasing for x>=0 by checking its derivative is ln(1+x). So g is invertible and its inverse is also strictly
monotically increasing.
Is there an explicit closed form for its in... | 5 | [
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0.025146484375,
0.023681640625,
-0.01904296875,
-0.08251953125,
0.03955078125,
0.0301513671875,
-0.0019454... | 36,192 | 36192 | |
latonic
Platonic Solids and the Quaternions
While you're pondering that, let me tell you another way to get some of the 4d regular polytopes. This method involves quaternions, which are a souped-up version of the complex numbers with three
square roots of -1, called i, j, and k. A typical quaternion looks like this:
... | 4 | [
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-0.0252685546875,
0.14550... | 36,193 | 36193 | |
analysis-bounded monotone sequence problem
April 24th 2010, 04:40 AM #1
Newbie
Joined
Feb 2010
Posts
17
Prove that the sequence
lim n-->infinity 1/n(1 + 1/2 + ...+ 1/n) = 0
is
(i) monotone
(ii) bounded
(iii) find its limits
How can i proceed to prove that it is monotone and bound... | 5 | [
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0.08251953125,
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0.00653076171875,
0.09423828125,
-0.0251... | 36,194 | 36194 | |
Math Help
November 5th 2007, 11:22 PM #1
Newbie
Joined
Nov 2007
Posts
2
Passengers...
Good morning to all
10 passengers that are considered distinguished, find itself in a bus and remain 3 attitudes (StA, StB, StC)
A.With how many ways they can get off from the bus all the passengers if in eac... | 4 | [
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-0.03076171875,
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0.0284423828125,
0.0238037109375,
-... | 36,195 | 36195 | |
Ring Theory - Homomorphisms from Z to Z/30Z
September 3rd 2012, 03:21 PM #1
Ring Theory - Homomorphisms from Z to Z/30Z
I am reading Dummit and Foote on Ring Theory.
Problem 4, Section 7.3 RIng Homomorphisms and Quotient Rings states:
"Find all ring homomorphisms from $\mathbb{Z}$ to $\mathbb{Z} / 30 \m... | 5 | [
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0.058349609375,
... | 36,196 | 36196 | |
Minimum set cardinality for a given partially ordered set
up vote 5 down vote favorite
1
Let S be a finite set of cardinality k. I consider subsets of S that I order by set inclusion. For any given k, this defines the partially ordered set S_k.
To a given partially ordered set P, I associate the smallest k such that ... | 4 | [
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0.0732421875,
0.02282714843... | 36,197 | 36197 | |
Vectors, dot product and cross product. URGENT please Help
May 14th 2008, 11:04 AM #1
Newbie
Joined
Mar 2008
Posts
4
Vectors, dot product and cross product. URGENT please Help
1) Vector v has magnitude 10 units, positive, and equal x and y components, and a z component of 4. Determine V.
2) vector u... | 5 | [
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0.058837890625,
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0.052001953125,
-0.01556396484375,
-0.01... | 36,198 | 36198 | |
Is every algebraic space the quotient of a scheme by a finite group?
up vote 15 down vote favorite
10
In this MO question it is claimed that a catchphrase for "algebraic spaces" could be that they are "the result of looking at the orbit space of the action of a finite group on a scheme".
Hence my question:
Given... | 4 | [
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0.005340576171875,
-0.027099609375,
-0.0036010742... | 36,199 | 36199 |