content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Hydrostatic Force Problem
March 22nd 2009, 04:18 PM
Coco87
Hydrostatic Force Problem
Hey,
I've done an even problem from my book, and am not 100% sure if it's correct. It asks to find the Hydrostatic Force acting against an Area.
$<br /> \setlength{\unitlength}{0.30cm}<br /> \begin{picture}(13,12)<br />... | 5 | [
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0.0283203125,
-0.091796875,
0.052490234375,
-0.10888671875,
-0.07714... | 10,900 | 10900 | |
Symmetry and the Fourth Dimension (Part 8)
Surprise!
I bet you thought this series had died. But it was only snoozing.
I start projects at a rate faster than I can finish them. I wish I could do what a character in Greg Egan’s Permutation City could do, and have my ‘exoself’ adjust my personality so I would stick
wi... | 4 | [
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0.0140380859375,
-0.031982421875... | 10,901 | 10901 | |
s
iit jee maths
If f'(x)=g'(x) and g'(x)=-f(x) for all x and f(2)=4=f'(2), then f^(4)+g^(4)is
Asked By: ASHIT MAHAJAN 6 Month ago
1. A particle moves according to a law of motion
s(t) = t^3 - 12t^2 + 36t , t ≥ 0
where, t is measured in seconds and s in meters.
a) Find the acceleration at time t and after 3 secon... | 5 | [
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-0.0183105... | 10,902 | 10902 | |
Decomposability of exterior two-forms
up vote 3 down vote favorite
Hello,
The following question appears as a step in my proof. It seems easy but somehow I have not been able to prove this. I could solve few special cases though. Any help in this context is welcome.
Thank you.
Question:
Let $u,v\in \Lambda^2$ be s... | 5 | [
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Algebraic Expression Word Problems
In real life situations, we come across a lot of questions in verbatim. But mostly such questions can be answered by converting them into algebraic equations which can be solved by algebraic methods
and translate the answer back to verbal form. An algebraic equation is a bridge that c... | 4 | [
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0.0625,
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0.0747070312... | 10,904 | 10904 | |
Integrals! help!
need to get the integral of: 3x - x/((x^2+2)^4/3) substitution rule here? or is it ln. i'm not sure
Hello, You can integer 3x on its own. For the second term, you can rewrite it into $- \frac{1}{2} 2x (x^2+2)^{-\frac{4}{3}} = \frac{1}{2} 3* 2x (x^2+2)^{-\frac{4}{3}}$ $-3$ is $\frac{1}{-\frac{4}{3}
+ 1... | 5 | [
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0.04467... | 10,905 | 10905 | |
Math Forum Discussions
Math Forum
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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: On Laplace's Equation
Replies: 2 Last Post: Sep 15... | 4 | [
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What is a square root of a line bundle?
up vote 8 down vote favorite
10
If ${L}$ is a line bundle over a complex manifold, what does the square root line bundle $L^{\frac{1}{2}}$ mean? After some google, I got to know that there are certain conditions for the existence
of square root line bundle. In particular,I've fo... | 5 | [
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ull space
Next: About this document ... Up: Table of Contents
Short Note
A simple example of a null space
and how to modify it
Dave Nichols
dave@sep.stanford.edu
WHAT IS A NULL SPACE?
In many situations in geophysics we seek a solution to a problem of the form
where If the problem is under-determined it wil... | 4 | [
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Treatise On Analysis Vol-Ii
8 COMPLETE HILBERT ALGEBRAS 369
for all n, and all the AB have the same value y = (et \ e^) ~l. Hence, for all x9 y in
A, we have
(xan | yan) = (y*x \ an a*) = ( j;*x | yen) = y(xen \ yen) ;
since the series with general term (xen \ yen) is absolutely convergent, with
sum (x\y) (... | 4 | [
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Even Perfect Numbers
March 23rd 2007, 06:46 AM #3
March 23rd 2007, 03:51 AM #2
Super Member
March 23rd 2007, 12:56 AM #1
Member
I have 2 follow-up questions: What is a "perfect number"? By this I mean: What makes it "perfect"? How are the n's derived if there's no pattern to them (other than that they seem to b... | 4 | [
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Matlab in Chemical Engineering at CMU
Contents
The trapezoidal method of integration
John Kitchin
See http://en.wikipedia.org/wiki/Trapezoidal_rule
Let's compute the integral of sin(x) from x=0 to
We will use this example to illustrate the difference in performance between loops and vectorized operations in Matlab... | 5 | [
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Number Theory type of problem--need help understanding number relationships. yikes.
December 18th 2008, 03:41 PM #1
Newbie
Joined
Sep 2008
Posts
14
Number Theory type of problem--need help understanding number relationships. yikes.
My Question about this problem:
They say, 100 is a multiple of 4, so ... | 4 | [
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When do the Cars Meet?
Date: 01/23/97 at 12:55:34
From: Jennifer
Subject: Math
Write an equation that describes this information:
Two cars, an Edsel and a Studebaker, are 635 kilometers apart. They
start at the same time and drive toward each other. The Edsel travels
at a rate of 70 kilometers per hour and the Stud... | 4 | [
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-0.055908203125,... | 10,913 | 10913 | |
epsilon delta question.
October 15th 2009, 06:57 PM #1
Member
Joined
Sep 2009
Posts
149
epsilon delta question.
I read the great sticky on proving limits with epsilon and delta, but have a question on how to solve the problem below. I learned in class how to solve for epsilon with a function given, not
... | 4 | [
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When does iterating z -> z^2 + c have an exact solution?
up vote 38 down vote favorite
9
If one iterates the map z -> z^2 + c there is obviously a simple formula for the sequence one gets if c=0. Less obviously, there is also a simple formula when c = -2 (use the identity 2 cos(2x) =
(2cos(x))^2 - 2). Are there any ot... | 4 | [
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BDR 2-vector bundle
under construction
for the moment this here are nothing but rough notes taken in a talk long ago
BDR 2-vector bundles are a notion of categorified vector bundle motivated by the concept of Kapranov-Voevodsy’s 2-vector spaces.
Contents
2-Vector bundles following Baas-Dundas-Rognes
We are... | 4 | [
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Polynomial of degree 4 with 2 real roots
August 3rd 2012, 06:38 AM
shiny718
Polynomial of degree 4 with 2 real roots
If $ax^4 + (2a+b)x^2 + c + a = 0$ has only 2 real roots, which of the following is true? A. b=-2a B. b>-2a C. b<2a D. b<-2a E. none of them above.
Can someone pls explain how to solve this? Th... | 4 | [
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Estimators of Statistics Variables
Date: 11/17/1999 at 14:14:59
From: Eugenio Rapella
Subject: Statistics: properties of estimators
I'm interested in the properties of the estimators for the most common
values in statistics and I have some questions:
1. Let s^2 = sum((Xi-M)^2)/n and sigma^2 = sum((Xi-M)^2)/(n-1). I... | 5 | [
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... | 10,918 | 10918 | |
Mathomatic Service on the Web
Mathomatic input:
Mathomatic output:
Secure Mathomatic version 16.0.5
Copyright © 1987-2012 George Gesslein II.
200 equation spaces available in RAM; 2 megabytes per equation space.
HTML color mode enabled; manage by typing "help color".
Reading in file specified on the command line...
... | 5 | [
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Modulo a Divisor ... that's Negative?
Date: 04/02/2012 at 03:16:12
From: Jason
Subject: Modulo
Let us take a simple problem:
17 mod 10
We can find the solution to this very easily by long division. The
remainder here will be 7.
Let us make things a little bit more complicated:
-17 mod 10
If we long divide ... | 4 | [
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Posts about history on Math ∩ Programming
“Tonight’s the Night”
A large volume of research goes into the psychological and behavioral analysis of criminals. In particular, serial criminals hold a special place in the imagination and nightmares of the general
public (at least, American public). Those criminals with th... | 4 | [
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Intro to Audio Programming Part 4: Algorithms for Different Sound Waves in C#
Comments 12
In the last article, we saw how to synthesize a sine wave at 440Hz and save it to a working WAV file. Next, we’ll expand on that application and learn how to implement some other common waveforms.
First of all, I copied WaveFun ... | 4 | [
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Coloring regions in a closed aread such that no adjacent regions have same color
March 23rd 2012, 11:11 PM
swordfish774
Coloring regions in a closed aread such that no adjacent regions have same color
4 colors available, find the number of ways you can color the regions such that no adjacent regions have same co... | 5 | [
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Homework Help
Posted by Thiago on Thursday, May 24, 2012 at 5:58pm.
A magician pulls a tablecloth out from under some dishes. How far do the dishes move during the 0.25 it takes to pull out the tablecloth? The coefficient of kinetic friction between the cloth and the
dishes is = 0.14.
• Physics - Elena, Thursday, M... | 4 | [
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Finding Recurrence relation for Series Solution of Differential Equation
October 24th 2008, 08:57 AM #1
Finding Recurrence relation for Series Solution of Differential Equation
I'm trying to solve the following differential equation with non constant coefficients:
$2xy'' + y' + xy = 0$
I'm totally confu... | 5 | [
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0.03125,
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-0.03662109375,
-0.0908203125,
0... | 10,925 | 10925 | |
Fixed Points
February 21st 2010, 07:59 AM
mark090480
Fixed Points
Hi,
I am having trouble working out this. I have got this equation, x^2 -x - 0.5 = 0. Then the answer is 0.5√3, which is +/-0.366. How can you find that value?
Any help needed.
February 21st 2010, 08:17 AM
e^(i*pi)
Quote:
Qu... | 4 | [
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-0.0028533935546... | 10,926 | 10926 | |
expressing sin(x) in terms of tan(x)
October 12th 2010, 04:24 AM #1
Newbie
Joined
Apr 2010
Posts
11
expressing sin(x) in terms of tan(x)
I saw this in a list of previous examination questions today and became intrigued. It asks:
"The acute angle x radians is such that tan(x) = k. Express, in terms o... | 4 | [
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-0.042236328125,
0.00262451171875,
0.061767578125,
0.01904296875,
-0.05029296875,
0.0625,
0.031005859375,
0... | 10,927 | 10927 | |
Math Help
April 11th 2011, 06:46 AM #1
Newbie
Joined
Feb 2011
Posts
11
Proof
does anyone know a proof for 7b (iv)
http://tartarus.org/gareth/maths/Vec...rs/VM_2010.pdf
i know what its det(A-tI)=datA+...(-1)^n-1 trA t^n-1 +(-1)t^n
well thats about as far as i got :S
does anyone know a... | 5 | [
-0.1435546875,
0.0341796875,
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-0.031494140625,
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... | 10,928 | 10928 | |
Problem 32
July 25th 2007, 06:28 AM
ThePerfectHacker
Problem 32
Given a non-negative integer $n$ we define $P_n(x)$ to be a solution* to:
$(1-x^2)y''-2xy'+n(n+1)y=0 \mbox{ on }(-1,1)$.
Show that:
$\int_{-1}^1P_n(x)P_m(x) dx = 0 \mbox{ for }not = m$.
*)Yes, I realize what I said is not well-def... | 5 | [
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-0.042724609375,
-0.080078125,
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0.046875,
-0.... | 10,929 | 10929 | |
Lottery
Saturday, July 26
16-18-20-39
Understanding $250K Triple Play Chances
You may have read on the game page that the chances of winning the $250,000 top prize on Game 1 of $250K Triple Play are 1 in 487,635 or that you have an overall chance of 1 in 6.16 to win a prize on
each ticket. But how exactly are those ... | 4 | [
0.044921875,
-0.01385498046875,
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0.01116943359375,
-0.028686523437... | 10,930 | 10930 | |
some trouble with this differencial equation
September 20th 2006, 01:09 PM #1
Junior Member
Joined
Aug 2006
Posts
34
some trouble with this differencial equation
ok i really hate asking these series question because i know how much of a pain they are to answer on this thing. ok this questions requires th... | 4 | [
-0.033447265625,
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0.0556640625,
-0.01129150390625,
-0.05859375,
-0... | 10,931 | 10931 | |
From Infinite Decimals to Mixed Fractions
Date: 10/09/98 at 19:00:50
From: Jessi Michelle
Subject: A challenge from a teacher
I was given a challenging problem by my math teacher just to see if I
could find a way to figure it out. The problem is to write this
fraction as a mixed number:
.131313... + .555...
-... | 4 | [
-0.03955078125,
0.056884765625,
0.051025390625,
0.006378173828125,
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0.052490234375,
-0.015869140625,
-0.050048828125,
-0.0478515625,
... | 10,932 | 10932 | |
The Easiest Hard Problem
COMPUTING SCIENCE
The Easiest Hard Problem
So What's the Problem?
Here is a slightly more formal statement of the partitioning problem. You are given a set of n positive integers, and you are asked to separate them into two subsets; you may put as many or as few
numbers as you please in each... | 4 | [
-0.057373046875,
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0.005584716796875,
... | 10,933 | 10933 | |
Reflexive and Anti-symmetric
November 9th 2012, 01:39 PM #16
MHF Contributor
Joined
Mar 2011
From
Tejas
Posts
3,311
Thanks
691
Re: Reflexive and Anti-symmetric
Thanks Deveno:
If R is divisibility, only 2|4 belongs to R, not 4|2, in which case R is not anti-symmetric in my opinion based on:
... | 4 | [
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-0.057128... | 10,934 | 10934 | |
U Substitution
1. January 22nd 2014, 04:57 PM #1
2. January 22nd 2014, 05:06 PM #2
Re: U Substitution
I figured it out by multiplying 1/3 to 6 from f(x)dx = 6. I don't know why I needed to do that though.
3. January 22nd 2014, 05:10 PM #3
Re: U Substitution
u = x^2
du = 2x dx
... | 4 | [
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-0.0225830... | 10,935 | 10935 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Orthocenter to centroid distance
Replies: 2 Last P... | 5 | [
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-... | 10,936 | 10936 | |
ODE
December 26th 2010, 12:25 AM
kjchauhan
ODE
Please solve the following ODE using Laplace Transform::
$\frac{d^3y}{dt^3} - \frac{dy}{dt} = 2\cos t$,
with the condition, $y(0)=3, y'(0)=2, y''(0)=1$
I've to use: $\mathcal{L}({y'''})=p^3\mathcal{L}({y})-p^2y(0)-py'(0)-y''(0)$
But I couldn't ge... | 5 | [
-0.10400390625,
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-0.0004100799560546875,
0.047119140625,
-0.039306640625,
-0.0634765625,
... | 10,937 | 10937 | |
Double integral
$\displaystyle A=\int_{-1}^0\int_0^{(x+1)^2}f(x,y) \ dy \ dx + \int_0^1\int_0^{(x-1)^2} f(x,y) \ dy \ dx<br />$
By reversing the order of integration, express A as a single iterated integral.
Would it be like this
$\displaystyle A=\int_{0}^1\int_{\sqrt{y}-1}^{0}f(x,y) \ dx \ dy + \int... | 4 | [
0.03271484375,
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0.058349609375,
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-0.03466796875,
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-0.06298828125,
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-0.051025390625,
0.09033203125,
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0.0712890625,
-0.0213623046875,
-0.002655029296875,
-0.0869140625,
... | 10,938 | 10938 | |
Minkowski distance
July 17th 2006, 08:42 AM
wosci
Minkowski distance
Hi,
i'm looking for the proof of minkowski metric in infinite that become the largest of the differences of the coordinates of x and y.
can anybody help me please?
July 17th 2006, 11:18 AM
ThePerfectHacker
I cannot understand any... | 5 | [
0.01312255859375,
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0.043212890625... | 10,939 | 10939 | |
Highest common factor, Polynomial division
January 21st 2010, 11:35 AM
craig
Highest common factor, Polynomial division
Hi, think this is the correct forum, apologies if not.
Find the highest common factor of the polynomials
$x^5 - 2x^4 - 3x^3 + 13x^2 -16x + 6$ and $x^4 - 2x^3 - 2x^2 + 8x - 8$.
Hen... | 5 | [
0.0274658203125,
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0.04296875,
-0.00848388671875,
0.0300292968... | 10,940 | 10940 | |
A geometric approach to the Riemann Hypothesis
November 3rd 2009, 02:11 AM #1
Newbie
Joined
Sep 2009
Posts
5
A geometric approach to the Riemann Hypothesis
Hi,
I am trying to verify with anybody generally intrigued by the Riemann Hypothesis whether they might find of any interest a geometrical approa... | 4 | [
-0.1337890625,
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0.003631591796875,
0.03466796875,
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0.056884765625,
-0.0135498046875,... | 10,941 | 10941 | |
Analytical Mechanics
266 ANALYTICAL MECHANICS
When /, the moment of inertia, remains constant, as in the case of a rigid body rotating about a fixed axis, the last integration can be performed at once and the following result obtained:
Gd^/w-M). (II)
207. Angular Momentum. —The... | 4 | [
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-0.0341796875,
0.00121307373046875,
0.0167236328125,
-0.01116943359375,
... | 10,942 | 10942 | |
Proportions of Men to Women
Associated Topics || Dr. Math Home || Search Dr. Math
Proportions of Men to Women
... | 4 | [
0.04296875,
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0.0081787109375,
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0.035400390... | 10,943 | 10943 | |
Single CDTA Leads To Multiple Filters
By using a current differencing transconductance amplifier, a number of different high-frequency filter responses can be achieved with the aid of electronic tuning.
An active component, a CDTA, can be used as the basis for a variety of different filter responses, selecting the dif... | 4 | [
-0.00006818771362304688,
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0.07470703125,
-0.037841796875,
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0.0303955078125,
-0.02819824218... | 10,944 | 10944 | |
Followup Activities
Geometry Through Art
Followup Activities using the Percentage Circle
... | 4 | [
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0.09912109375,
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-0.060546875,
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... | 10,945 | 10945 | |
free Hopf algebra
There is no left adjoint to the forgetful functor from Hopf algebras to vector spaces. However, Takuechi in
• M. Takeuchi, Free Hopf algebras generated by coalgebras, J. Math. Soc. Japan 23 (1971), No.4, pp. 561–582.
constructed a left adjoint to the forgetful functor from Hopf algebras to coalgeb... | 4 | [
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0.1015625,
0.00... | 10,946 | 10946 | |
how to differentiate
Using an appropriate rule how would I differentiate y = (4x2 - e2x) sin 3x
Hello, tomjay! Since you're working with exponential and trigonometric functions, . . you MUST be familiar with the Product Rule . . . right? $\text{Differentiate: }\:y \:=\: (4x^2 - e^{2x})\sin 3x$
$\text{Product Rule: \;I... | 5 | [
0.027587890625,
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0.017822265625,
0.0917968... | 10,947 | 10947 | |
cryptarithm (mathematics)
cryptarithm
Article Free Pass
cryptarithm, mathematical recreation in which the goal is to decipher an arithmetic problem in which letters have been substituted for numerical digits.
The term crypt-arithmetic was introduced in 1931, when the following multiplication problem appeared in the ... | 4 | [
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0.040771484375,
0.032958984375,
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0.060791015625,
-0.00811767578125,
-0.035400390625,
-0.1435546875,
0... | 10,948 | 10948 | |
Prime Factorization
Date: 01/07/97 at 17:11:16
From: Megaman7
Subject: Prime factorization
How do you find the prime factorization of a number?
Date: 01/07/97 at 19:49:10
From: Doctor Mike
Subject: Re: Prime factorization
Hi Megaman,
The short answer is that you keep looking for factors until you find
them all. ... | 4 | [
-0.00017833709716796875,
0.0294189453125,
0.007171630859375,
-0.021728515625,
0.078125,
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-0.043701171875,
0.07568359375,
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0.00909423828125,
0.06298828125,
-0.0174560546875,
0.0089111328125,
-0.03857... | 10,949 | 10949 | |
Introduction to Permutations by Standing in Line
Date: 11/18/2004 at 16:02:37
From: Robert
Subject: Math
Hi! I think I need help with this question. Six persons will stand
in line. In how many different ways can they stand in line?
I don't understand the question. Could you help me?
Date: 11/19/2004 at 13:55:... | 4 | [
-0.044921875,
-0.0303955078125,
-0.01068115234375,
-0.080078125,
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-0.05029296875,
-0.07470703125,
0.0751953125,
-0.0791015625,
-0.050292... | 10,950 | 10950 | |
ti
The Price (or Probability) Is Right
Amy Biesterfeld
University of Colorado at Boulder
Journal of Statistics Education Volume 9, Number 3 (2001)
Copyright © 2001 by Amy Biesterfeld, all rights reserved.
This text may be freely shared among individuals, but it may not be republished in any medium without express wr... | 5 | [
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0.061767578125,
0.0218505859375,
-0.031494140625,
0.08544921875,
0.047851562... | 10,951 | 10951 | |
NEWTON, Ask a Scientist at Argonne National Labs
Projectile Motion from Ramp
Name: Cary
Status: educator
Grade: 9-12
Location: TX
Country: USA
Date: Fall 2012
Question: A 2-kg solid ball rolls down... | 5 | [
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0.0693359375,
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0.06591796875,
-0.0240478515625,
0.049... | 10,952 | 10952 | |
Treatise On Analysis Vol-Ii
214 XIII INTEGRATION
belongs to some Un, which intersects only finitely many of the Vfc), and we
have |/*|*(/) =+oo, because M*(/) £ £ |/i|(/i) for all /i.
fc= i
If S = Supp(/*) is compact, the first part of the proof shows that
\fj\(f) £ M(S) ' sup |/(jc)| for all functions/e ... | 4 | [
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-0.051025390625,
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-0.0703125,
0.007232666015625,
0.0158691... | 10,953 | 10953 | |
Righting Wrap (Part 2)
Wrapping Paper
I first tinkered with SH wrap shading (as described in part 1) for Splinter Cell: Conviction, since we were using a couple of models [1][2] for some character-specific materials. Unfortunately, due
to the way that indirect character lighting was performed, it would have required a... | 4 | [
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0.0625,
0.014892578125,
-0.00227355957031... | 10,954 | 10954 | |
Osculating spaces and distributions on (real) Grassmannian manifold
up vote 2 down vote favorite
1
Hello! Recenlty, doing my research, I came across a quite natural construction, and I would like to know more about it. Unfortunately, being not expert neither in Grassmannians nor in Contact
Geometry, I wasn't able to f... | 4 | [
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-0.02001953125,
0.0172119140625,
0.0216064453125,
-0.029052734375,
0.035... | 10,955 | 10955 | |
A sharp inverse Littlewood-Offord theorem
Van Vu and I have just uploaded to the arXiv our preprint “A sharp inverse Littlewood-Offord theorem“, which we have submitted to Random Structures and Algorithms. This paper gives a solution to the
(inverse) Littlewood-Offord problem of understanding when random walks are con... | 4 | [
-0.045166015625,
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-0.0303955078125,
-0.0284423828125,
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0.07958984375,
0.0040283203... | 10,956 | 10956 | |
Function domain and range
March 14th 2013, 12:01 AM
Vishak
Function domain and range
Hi, need some help please!! Thanks!
A function f is defined by
f(x) = e^x /(1 + 2e^x)
(a) Find the domain and range of f.
(b)Find the domain and range of finverse.
(c) Sketch the graphs of f and finverse... | 4 | [
0.0361328125,
-0.01171875,
-0.0172119140625,
-0.039794921875,
0.06689453125,
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-0.029541015625,
0.0634765625,
0.060302734375,
-0.07666015625,
-0.018310546875,
-0.09130859375,... | 10,957 | 10957 | |
find all prime numbers
find all prime numbers p,q,r such that (p/q )- (4/(r+1))=1
Hi! We first rewrite the equality $\frac{p}{q}-\frac{4}{r+1}=1$ equivalently as $(p-q)(r+1)=4q$. If $r=2$, we get $3p=7q$, which forces $q=3$ and $p=7$, so we've found one triplet. So suppose from
now on that $r$ is an odd prime. If $q=2... | 4 | [
-0.03662109375,
0.0240478515625,
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0.021240234375,
0.1015625,
-0.01531982421875,
-0.07861328125,
-0.010375976562... | 10,958 | 10958 | |
Math Help
March 18th 2009, 08:42 AM #1
Continuity
Prove that $f(x)=e^x$ is continuous.
This is what i've done so far:
The definition of continuity is $\forall \ \epsilon>0 \ \exists \ \delta>0 \ s.t \ |x-x_0|< \delta \ \Rightarrow \ |f(x)-f(x_0)|< \epsilon$
In this case, $|f(x)-f(x_0)|< \epsilon$ ... | 5 | [
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0.0201416015625,
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0.0830078125,
0.054931640625,
0.0172119140625,
0.00099... | 10,959 | 10959 | |
Help with improper integrals.
October 10th 2012, 06:46 AM
SecondxChance1
Help with improper integrals.
So I'm having some trouble with quite a few problems in this section. I'm fairly certain my problem is just setting them up. I think I'm forgetting some of the concepts learned in Calc 1, and
that's what's ... | 5 | [
-0.040283203125,
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0.037109375,
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0.0517578125,
-0.09375,
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0... | 10,960 | 10960 | |
Least-Squares Covariance Matrix Adjustment
Boyd, Stephen and Xiao, Lin (2005) Least-Squares Covariance Matrix Adjustment. SIAM Journal on Matrix Analysis and Applications, 27 (2). pp. 532-546. ISSN 0895-4798. http://resolver.caltech.edu/
CaltechAUTHORS:BOYsiamjmaa05
PDF
See Usage Policy.
187Kb
Use this Persiste... | 4 | [
0.00360107421875,
0.009521484375,
0.007354736328125,
-0.04541015625,
0.02587890625,
0.037841796875,
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-0.027099609375,
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0.007293701171875,
0.0089111328125,
-0.05126953125,
0.0162353515625,
0.131835937... | 10,961 | 10961 | |
Help with some Diff EQ
September 18th 2006, 08:02 PM #1
asdf123
Guest
Help with some Diff EQ
Ok here's my problem, i'm really having trouble with:
"If the equation P(x)y" + Q(x)y' + R(x)y = 0 is not exact, it can be made exact by multiplying by a suitable integrating factor µ(x). Thus, µ(x) must satisfy the ... | 4 | [
-0.06396484375,
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-0.044189453125,
0.042724609375,... | 10,962 | 10962 | |
Continuity and Differentiation...
June 21st 2008, 08:58 AM #1
Continuity and Differentiation...
Hello,
I need help in figuring out the continuity of these weird looking function..
Please help!
Q1) Find the maximum and minimum value of the function:
f(x) = 4x^3 - x^2 - 4x + 2 on [ -1,1] and on [0... | 5 | [
0.0057373046875,
-0.0245361328125,
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0.03564453125,
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0.0234375,
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-0.092... | 10,963 | 10963 | |
Math Forum: Ask Dr. Math FAQ: N to Zero Power
Why is any number raised to the zero power equal to one?
Let's first look at an example. Let's look at the list of numbers
3^1, 3^2, 3^3, 3^4, ....
Finding the actual values, we get 3, 9, 27, 81, ....
So what is the pattern in ... | 4 | [
-0.06884765625,
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-0.09765625,
-0.016357421... | 10,964 | 10964 | |
Non-existenant solution to differencial equation
September 30th 2006, 07:37 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Non-existenant solution to differencial equation
Can, y=sin(x^2) be a solution to,
y''+py'+qy=0
With initial conditions, y(0)=A and y... | 5 | [
-0.040283203125,
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0.0234375,
0.03955078125,
-0.0654296875,
-0.044... | 10,965 | 10965 | |
Potential Flow
We consider only inviscid flows in this chapter. This leads to a simple analysis. In fact we will be solving only the continuity equation for mass to calculate velocity components. Pressure is
obtained from Bernoulli equation. Of course, various assumptions will have to made to make the analysis easier.... | 4 | [
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The Riemann Zeta Function: Extended Confusion about an Analytic Continuation
Date: 11/11/2011 at 08:33:44
From: Kesavan.
Subject: Negative even numbers of Riemann zeta function
How do you calculate the value of Zeta(-2)? How do you prove it equals
zero? and similarly for every negative value?
When I substitute -2 in... | 4 | [
-0.07080078125,
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More Collision detection for Dummies
Hello and welcome to my bit on #altdevblogaday!
This one is just a short introductory post for an article on the basics of Collision Detection that I posted on my own blog, which you can read here...
Circle vs Capsule
Rather than just leave you with a link, I wanted to explore o... | 4 | [
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0.07080078125... | 10,968 | 10968 | |
Math Forum Discussions
Re: Egyptian fraction math only used quotient and remainder statements
Posted: Dec 17, 2011 1:16 PM
As discussed in
http://ahmespapyrus.blogspot.com/
RMP 32 solved the algebraic equation by reporting
x + x/3 + x/4 = 2
translated into modern algebra by
(19/12)x = 2
Ahmes algebra written as ... | 5 | [
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-0.0400390625,
0.04052734375,
... | 10,969 | 10969 | |
Support Vector Machines
This software accompanies the paper Support vector machine training using matrix completion techniques by Martin Andersen and Lieven Vandenberghe. The code can be downloaded as a zip file and
requires the Python extensions CVXOPT and CHOMPACK.
Feedback and bug reports
We welcome feedback, and... | 5 | [
-0.09033203125,
-0.043212890625,
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Single equation, single unknown. How to solve?
I have this equation: $a+b+c*cos(\theta_4)=cos(d-\theta_4)$ I was wondering how do I solve for $\theta_4$? a,b,c,and d are known constants.
Hello, s3n4te! It can be solved, but I'm sure you won't like it . . . Quote: Solve for $\theta\!:\;\;a+b+c\cos(\theta) \:=\:\cos(d-\... | 5 | [
-0.103515625,
0.0032958984375,
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0.035888671875,
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-0.08349609375,
... | 10,971 | 10971 | |
Introduction
1. Introduction
This chapter has the following sections:
1.1. Function and parameter optimization
1.2. Problem Formulation
1.2.1.Design variables
1.2.2.Constraints
1.2.3.Objective function
1.4. Exercises
1.5. References
1.1. Function and parameter optimization
Structural Optimization deals with... | 5 | [
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Constructing Steiner Triple Systems Algorithmically
up vote 6 down vote favorite
1
I want to create STS(n) algorithmically. I know there are STS(n)s for $n \cong 1,3 \mod 6$. But it is difficult to actually construct the triples. For STS(7) it is pretty easy and but for larger n I
end up using trial and error. Is ther... | 4 | [
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0.031005859375... | 10,973 | 10973 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 012.14905
Autor: Erdös, Paul
Title: On the normal number of prime factors of p-... | 4 | [
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... | 10,974 | 10974 | |
Math Forum Discussions - Re: SHORT HAND OF PRIME NUMBER DISTRIBUTION CORRECTED FILE
Date: Feb 11, 2013 11:30 AM
Author:
Subject: Re: SHORT HAND OF PRIME NUMBER DISTRIBUTION CORRECTED FILE
On Friday, February 8, 2013 10:12:29 PM UTC, hope...@frontier.com wrote:
Regarding M48 which has recently been added, it is being... | 4 | [
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-0.080... | 10,975 | 10975 | |
How do I solve this problem?
December 9th 2008, 09:28 AM
lanvin
How do I solve this problem?
Solve each equation for x, where 0 ≤ Θ ≤ 2π
cotx csc²x = 2cotx
the answer at the back says: π/4, π/2, 3π/4, 5π/4, 3π/2, or 7π/4
How do I solve this?
December 9th 2008, 10:40 AM
Soroban
Hello, lanvin... | 4 | [
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0.02282714843... | 10,976 | 10976 | |
Help with a problem from Atkins Molecular Quantum Chemistry
August 3rd 2007, 07:24 AM #1
Newbie
Joined
Aug 2007
From
Coventry, UK
Posts
3
Hi all,
Problem
------------------------------------------------------------------------------------------------------
Show that if $( /Omega f )* = -... | 5 | [
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-0.0157470703125,
0.056884765625,
-0.0322265625,
-0.0607910156... | 10,977 | 10977 | |
Rope Physics
Rope Simulation
In this tutorial, you will find a simulation of a rope. This simulation is based on the simple physical simulation engine in Lesson 39. In order to benefit from this tutorial, you should know how
forces are applied to masses in simulations, how position and velocity of a mass is iterated ... | 4 | [
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-0.044189453125,
0.0502... | 10,978 | 10978 | |
maximizing profit
November 28th 2008, 02:19 PM #1
Newbie
Joined
Sep 2008
Posts
17
Use calculus to find the production level x that will maximize profit if the price (also known as demand) is p(x)=12-(x/500) and the cost is C(x)=680+4x+0.01x^2
${\rm{Profit}=Revenue-Costs}=xp(x)-C(x)=12x-\frac{x^2}{50... | 4 | [
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Partial derivatives, word problem help
December 13th 2010, 01:34 PM
Tweety
Partial derivatives, word problem help
Heat is being conducted radially through a cylindrical pipe. The temperature at a radius r is T(r). In Cartesian co-ordinates, $r = \sqrt{(x^{2}+ y^{2}})$
show that $\displaystyle \frac{\partial... | 5 | [
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How To Construct A Rectangle
Introduction
In Euclidean plane geometry, a rectangle is any quadrilateral with four right angles. The term "oblong" is occasionally used to refer to a non-square rectangle. A rectangle with vertices ABCD
would be denoted as ABCD. (Source: Wikipedia)
How to Construct
To constr... | 4 | [
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0... | 10,981 | 10981 | |
Timing of progression from Chlamydia trachomatis infection to pelvic inflammatory disease: a mathematical modelling study
Abstract
Background
Pelvic inflammatory disease (PID) results from the ascending spread of microorganisms from the vagina and endocervix to the upper genital tract. PID can lead to infertility, ec... | 4 | [
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theory of differential nonabelian cohomology
Contents
Abstract
We describe a theory that
We start with a definition of differential nonabelian cohomology that works in great generality in any (∞,1)-topos whose underlying topos is a lined topos with an interval object that induces a
notion of paths. In lo... | 4 | [
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-0.0114135742... | 10,983 | 10983 | |
Maximum of a set of sums of iid random variables
up vote 9 down vote favorite
3
Consider some probability distribution $D$ over non-negative reals with finite expectation $\mu$. Now for any positive $T$ consider sums of $T$ iid random variables drawn from $D$. A single sum of
this sort would be $S(T) = \sum_{i = 1}^T ... | 5 | [
-0.026611328125,
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0.015625,
0.0245361328125,
0.031982421875,
0.04248046875,
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0.09130859375,
0.107421875,
0.024658203125,
0.02587890625,
-0.0252685546875,
0.15234375,
0.0263671875,
-0.00... | 10,984 | 10984 | |
les
MOLES, MOLAR MASS, MOLARITY, PERCENT COMPOSITION, EMPIRICAL FORMULAS & HYDRATES - LECTURE NOTES
VOCABULARY:
Molecular Mass: The mass in grams of one mole of a substance.
Formula Mass: The sum of the atomic masses of the atoms in a formula.
Avogadro's Constant:... | 4 | [
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0.042236328125,
0.00011014938354492188,
-0.045654296875,
-0.0012054443359375,
... | 10,985 | 10985 | |
the discrimient
$x^2+4kx+4=0$ find the value for k: i) two distinct solutions ii)one solution iii)no solutions
Ok, so you should know that the discriminant $\Delta = b^2 - 4ac$ determines how many solutions there are going to be. For no solutions: $\Delta < 0$. For one solution: $\Delta = 0$. For two
solutions: $\Delt... | 4 | [
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0.04150390625,
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0.048583984375,
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-0.055908203125,
-... | 10,986 | 10986 | |
Need help with a quadratic that has complex roots
October 28th 2012, 09:31 PM
Lancet
Need help with a quadratic that has complex roots
This is the equation in question:
$1-2r cos(\Theta) z^{-1}+r^2 z^{-2}=0$
I'm out of practice for these and don't remember how best to handle this. If I plug it into th... | 4 | [
-0.09375,
0.05859375,
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0.0693359375,
0.0028228759765625,
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0.0673828125,
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-0.00133514404296875,
0.08154296875,
-0.048828125,
0.004364013671875,
-0.044677734375,
-0.... | 10,987 | 10987 | |
Treatise On Analysis Vol-Ii
330 XV NORMED ALGEBRAS AND SPECTRAL THEORY
(b) Let 1 <=p < 4- oo, and let/e Jt?p(p,). Show that/B is dense in Jfp(n) if and
only if / is an exterior function. (The necessity of the condition follows from
Problem 13(a). To show that it is sufficient, observe that if g e &9(p) is suc... | 4 | [
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0.00811767578125,
0... | 10,988 | 10988 | |
In The Figure Below, C1=5.3 MF, C2=14 MF, C3=7.3 ... | Chegg.com
Capacitors in Circuit
In the figure below,
C[1]
=5.3 mF,
C[2]
=14 mF,
C[3]
=7.3 mF,
C[4]
=15 mF, and
Q[1]
=27 mC. There is a steady potential
V
appliedfrom
a
to
b
.
(a)What is the equivalent capacitance C[eq]between a and b?
C[eq] = mF
... | 4 | [
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0.06640625,
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0.083984375,
0.03173828125,
-0.068359375,
-0.05419921875,
-0.1376953125,
-0.000911712646... | 10,989 | 10989 | |
Math Forum Discussions - AC method of factoring polynomials
Date: Jul 29, 2007 2:31 PM
Author: Stephen J. Herschkorn
Subject: AC method of factoring polynomials
Summary: How well known and/or frequently taught is the AC method of
factoring, sometimes called factoring by grouping.
Factoring of polynomials often seeme... | 4 | [
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0.01287841796875,
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0.00189208984375,
0.0732421875,
0.010009765625,
-0.015380859375,
0.0751953125,
-0.033203125,
0.0159912... | 10,990 | 10990 | |
Chemical solution question.
January 29th 2011, 09:15 PM
grooverandshaker
Chemical solution question.
A chemical manufacturer has an order for 500 litres of a 25% acid solution (i.e. 25% by volume is acid). Solutions of 30% and 18% are available in stock.
How much acid is required to produce 500 litres of 25%... | 4 | [
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... | 10,991 | 10991 | |
find the derivative
what an ugly function ... $g(x) = \frac{3}{4} \cdot \frac{\ln{x}}{(3x+5)^5}$ $g'(x) = \frac{3}{4} \cdot \frac{(3x+5)^5 \cdot \frac{1}{x} - \ln{x} \cdot 15(3x+5)^4}{(3x+5)^{10}}$ $g'(x) = \frac{3}{4}
\cdot \frac{(3x+5) \cdot \frac{1}{x} - \ln{x} \cdot 15}{(3x+5)^6}$ $g'(x) = \frac{3(3x+5) - 15x\ln{x}... | 5 | [
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-0.00089263916015625,
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0.05126953125,
-0.0546875,
0.095703... | 10,992 | 10992 | |
Compact Sets
Date: 02/04/2001 at 12:39:35
From: Paul
Subject: Introduction to Topology - compact sets
I've been asked to answer the following:
Let A be an infinite set in R^1 (the real numbers) with a single
accumulation point in A. Must A be compact?
Here's what I have come up with:
The first example of such a s... | 5 | [
-0.059814453125,
-0.013671875,
-0.054443359375,
0.0228271484375,
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0.05859375,
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0.0625,
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0.04052734375,
-0.0091552734375,
-0.025634765625,
-0.044921875,
-0.037841796875,
-0.1289062... | 10,993 | 10993 | |
solve the equatio
Re-write $|2x-1|=\left\{\begin{array}{lcr}2x-1&if&x\geq\dfrac12 \\ -(2x-1)&if& x<\dfrac12\end{array}\right.$ $|x+5|=\left\{\begin{array}{lcr}x+5&if&x\geq-5\\ -(x+5)&if& x<-5\end{array}\right.$
Combine the domains (x<-5; -5<x<1/2; x>1/2). You'll get 3 different linear equations. The final solution is $... | 4 | [
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0.034423828125,
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0.041015625,
0.005401611328125,
-0.... | 10,994 | 10994 | |
Sequence Pattern and Closed Form
Date: 7/16/96 at 3:19:18
From: Anonymous
Subject: Sequence Pattern and Closed Form
No. of Discs 1 2 3 4 5 6 7 8 9 10
No. of moves 1 3 7 15 31 63 127 255 511 1023
^ ^ ^ ^ ^ ^ ^ ^ ^
2 4 8 16 32 64 128 256 512
I had ... | 4 | [
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0.00115203857421875,
0.0274658203125,
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-0.0361328125,
0.0576171875,
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-0.... | 10,995 | 10995 | |
The Simple Proof of Goldbach's Conjecture
return to homepage
return to updates
... | 4 | [
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0.0021820068359375,
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0.042724609375... | 10,996 | 10996 | |
algebra (mathematics)
algebra, branch of mathematics in which arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers. The notion that there exists such a distinct
subdiscipline of mathematics, as well as the term algebra to denote it, resulted from a slow historica... | 4 | [
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-0.10498046875,
0.0629... | 10,997 | 10997 | |
Math Help
December 2nd 2007, 02:56 PM #1
Newbie
Joined
Apr 2007
Posts
9
Write an equation of the line that is parallel to the given line that passes through the given point.
y=-2x + 3 (y=4. x=4)?
Please Help
So y=mx+b. Since the new line must be parrallel to the first line, we know that th... | 4 | [
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0.10107421875,
-0.10498046875,
-0.000930786132... | 10,998 | 10998 | |
Magic Square Matrix
Date: 03/24/2003 at 10:47:27
From: John
Subject: Magic squares
Let M be an integer-valued 3x3 matrix whose entries form a magic
square. Let s be the sum of all entries in M and d be the determinant
of M. Show that d/s is an integer.
Date: 03/28/2003 at 07:46:54
From: Doctor Jacques
Subject: Re: ... | 4 | [
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0.105957... | 10,999 | 10999 |