content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Matrices and linear systems of Equations
February 14th 2013, 09:11 AM #1
Newbie
Joined
Feb 2013
From
zambia
Posts
3
Matrices and linear systems of Equations
I have two questions:
1. Three tanks can hold 500 kgs of water. The largest tank can hold 150 kgs more than the smallest tank. If each tank... | 4 | [
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Limit Comparison Test of the series of sin(1/n)
What series do I compare $\sum_{n=1}^\infty \sin \frac 1n$ to when using the Limit Comparison test.
But that won't be sufficient, because for large n, $\sin{\frac{1}{n}} < \frac{1}{n}$ $\sum_{n=1}^\infty \frac{ 1}{n}$ diverges, but the series in the original post consist... | 5 | [
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About Catenary Derivation in Teach Yourself Calculus, Hugh Neill, Ex. 21.3.2 p. 287
December 30th 2012, 03:53 PM #1
Newbie
Joined
Dec 2012
From
Tokyo
Posts
3
Error in Catenary Derivation in Text Book?
Hi All!
I'm going over the derivation of the catenary presented in Hugh Neill's Teach Yourself ... | 5 | [
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Bounds for integration in joint pdf
April 27th 2008, 08:41 PM
shogunhd
Bounds for integration in joint pdf
Hi,
Let f(x,y) = 3/2 if 0<=x<=1 and x^2<=y<=1; otherwise f(x,y)=0
Find
P(X=1/4, 0<y<3)
So I know I'm suppose to do double integration. My bounds for x are from 0 to 1/4. The less than si... | 5 | [
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... | 22,203 | 22203 | |
Proof involving rational numbers
November 18th 2008, 06:05 PM #1
Member
Joined
Nov 2008
Posts
152
Proof involving rational numbers
a) Prove that between any two rational numbers there is another rational number; that is, if a, b are in Q and a < b, then there exists z in Q such that a < z < b.
b) Pr... | 4 | [
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Coprime Proof
November 5th 2009, 05:05 AM
sirellwood
Coprime Proof
Hi all,
a, b are coprime integers such that a|m and b|m, for some integer m. Prove, using Euclid’s lemma, that ab|m.
November 6th 2009, 05:58 AM
courteous
$a|m \Rightarrow m=xa$
$b|m \Rightarrow m=yb$
$ab|m \Rightarrow m=z(ab)... | 5 | [
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Orbital velocities in the Schwartzschild geometry
espen180
I don't understand why it shouldn't exist. I derived the general case, then assumed dr=0 and substituted that into the equations. dr doesn't even appear in that equation anymore, do I don't see how
it has any influence.
You started with the metric that has ... | 5 | [
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Calculus notation question
Near the top in the wiki article, they have this. (I made one change, from P(s) to p(s). You'll see why in a minute.)
$$ M(x) = e^{\int_{s_0}^x p(s)ds}$$
Let's assume that P(s) is an antiderivative of p(s).
Then the exponent on e is
$$ \left. P(s)\right|_{s_0}^x = P(x) - P(s_0)$$
So M(x)... | 4 | [
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Math Help
March 5th 2011, 10:33 PM #1
Senior Member
Joined
Feb 2010
Posts
456
Thanks
34
locus sum
the locus of orthocentre of triangle formed by lines (1+p)x-py+p(1+p)=0,(1+q)x-qy+q(1+q)=0 and y=0 where p not equal to q is
i know the locus of orthocentre in given question is a straight line by... | 4 | [
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Convergence Rates in the Law of Large Numbers for Arrays of Banach Valued Martingale Differences
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 715054, 26 pages
http://dx.doi.org/10.1155/2013/715054
Research Article
Convergence Rates in the Law of Large Numbers for Arrays of Banach Valued Martingale Dif... | 4 | [
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Maximizing the Product of Partition Elements
Date: 08/20/99 at 06:26:07
From: TJ
Subject: Partitions
Can you tell me how to begin trying to prove that the product of the
elements in a partition is a maximum when the elements are equal?
Date: 08/20/99 at 08:04:01
From: Doctor Anthony
Subject: Re: Partitions
In its... | 5 | [
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A Planar-Dimensions Machine Vision Measurement Method Based on Lens Distortion Correction
The Scientific World Journal
Volume 2013 (2013), Article ID 963621, 6 pages
http://dx.doi.org/10.1155/2013/963621
Research Article
A Planar-Dimensions Machine Vision Measurement Method Based on Lens Distortion Correction
^1Coll... | 4 | [
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Quadratic Number Field
May 9th 2010, 08:19 AM #1
Member
Joined
Nov 2009
Posts
169
Quadratic Number Field
Let $D \in \mathbb{Z}$ be square free. Consider $K = \{ x| ax^2+bx+c = 0, a,b,c \in \mathbb{Z} \}$.
For which conditions on $a,b,c\in \mathbb{Z}$ is $K= \{ u + v\sqrt{D}: u,v \in \mathbb{Q} \}$?
... | 4 | [
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Problem involving Tension and Friction on a slope
February 23rd 2010, 11:55 PM
NeilT
Problem involving Tension and Friction on a slope
Any help with the following question would be greatly appreciated.
Q: Alan pulls a container with weight of magnitude W newtons at a constant speed up a rough plane, with co... | 4 | [
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taylors series
write the first 4 terms of the taylor's series for f(x)=3^x centered at c=0
recall that the Taylor series is of the form: $\sum_{n=0}^{ \infty} \frac {f^{(n)}(x_0)}{n!} (x - x_0)^n$ where the series is centered at $x_0$ the first four terms of the Taylor series is centered
at 0 is given by: $\sum_{n=0}^... | 5 | [
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M
Sample Project: ODE and PDE Models for Traffic Flow.
We consider the first-order, following-the-leader model, for an infinitely long highway with N identical cars, and possible traffic lights at certain locations. The unknown variable x_i(t) denotes
the position of the ith car at time t, with x_{i+1}(t)-x_i(t) \ge ... | 4 | [
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Help with quadratic questions.
January 16th 2012, 04:06 AM #1
Newbie
Joined
Jan 2012
Posts
4
Help with quadratic questions.
Hi all -nice to meet you!
My grandson has this question (I must tell that my math was very poor 50 years ago)
2 functions:
1. y=-a^2+2a
2. y=5ax
□ for whi... | 4 | [
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the encyclopedic entry of System F
System F
, also known as the
polymorphic lambda calculus
or the
second-order lambda calculus
, is a
typed lambda calculus
. It was discovered independently by the
logician Jean-Yves Girard
and the
computer scientist John C. Reynolds
. System F formalizes the notion of param... | 4 | [
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probability with teen pregnancy
April 25th 2008, 03:06 AM #1
Newbie
Joined
Apr 2008
Posts
1
probability with teen pregnancy
heres the question.
What is the conditional probability that a teenage pregnancy is in a young mother 15 to 17 years old, given that she is classified as white ? what is the con... | 5 | [
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Population growth logarithm
January 14th 2009, 05:06 AM
mattty
Population growth logarithm
The question is: The bacterial population in a certain culture is given by $P=I(1.6)^t$ where $t$ is in hours and $I$ is the initial population (when $t=0$). Determine how long it takes for this
population to double in... | 5 | [
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[Haskell-cafe] Article review: Category Theory
David House dmhouse at gmail.com
Wed Jan 17 16:42:14 EST 2007
On 17/01/07, Yitzchak Gale <gale at sefer.org> wrote:
> A few semicolons were missing in the do blocks
> of the Points-free style/Do-block style table. I
> fixed that. I think it would be simpler without the
>... | 5 | [
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Thermodynamic properties of ideal gases
Saladsamurai
Q3: Right, however integrating (3) and (4) armed with the knowledge that dh/dp = 0 and du/dv = 0 is hardly a "proof" (and by the way, this is how my thermo book does it. Keep in mind this is
"engineering thermodynamics.")
Well that's surprising that they don't go... | 5 | [
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DefD.html
Prerequisites: Slope, Function Notation
Goal: To understand the definition of the derivative.
The blue curve represents the graph of a function y=f(x).
1. What do the top and bottom sliders do?
2. How is the yellow line generated?
3. Can you move the sliders so that the yellow line is horizontal? Why ... | 4 | [
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Difference Quotient Question
October 27th 2008, 02:03 PM #1
Junior Member
Joined
Sep 2008
Posts
40
I could really use some help...a littel confused. I know that the difference quotient is f(x+h)-f(x)/h
The question in the assignment asked me to use the difference quotient to evaluate f(x)= x^2+13
... | 4 | [
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Complex (for me) Right Triangle
April 4th 2009, 05:48 PM #1
Newbie
Joined
Jan 2009
Posts
8
Complex (for me) Right Triangle
Hello; essentially, I’m new to trig, and cannot figure out the problem below. I am able to manage what I would consider straight forward Right Triangles, but this one has a wee bit o... | 4 | [
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Patent US6657802 - Phase assisted synchronization detector
Publication number US6657802 B1
Publication type Grant
Application number US 09/435,333
Publication date Dec 2, 2003
Filing date Nov 5, 1999
Priority date Apr 16, 1999
Fee status Paid
Also published as EP1081705A2, EP1081705A3, EP108170... | 4 | [
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Random Variables
April 5th 2010, 09:44 PM #1
Newbie
Joined
Feb 2010
Posts
17
Random Variables
A special deck of 50 cards has 5 colors (red, white, blue, purple, and gold); for each color, there are cards numbered 1 through 10. 15 cards are picked at random without replacement from this
deck. Let X be... | 5 | [
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Solution required
March 9th 2008, 03:02 AM #1
Solution required
Q.Find the differential equation of all the circles that pass through origin.
A. $(x^2 + y^2)y'' = 2(xy' - y)(1 + (y')^2)$
Well, I have a plan but you'll need to put in the details.
If the circle $(x - h)^2 + (y - k)^2 = r^2$ passes th... | 5 | [
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I have a problem in understanding a problem about the limit of a function.
August 10th 2010, 11:46 AM #1
Junior Member
Joined
Apr 2010
Posts
56
I have a problem in understanding a problem about the limit of a function.
The question is as follows:
Use l'Hopital's rule to evaluate
lim [(a^x - b^x... | 5 | [
0.0201416015625,
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0.078125,
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0.0791015625,
0.044189453125,
-0.043212890625,
... | 22,228 | 22228 | |
Binomial coefficients
September 16th 2009, 07:16 PM #1
Newbie
Joined
Sep 2009
Posts
15
Binomial coefficients
Oh someone pls help..i have hard time solving this but i can't get it...pls help me
1.show that for n greater than or equal to 0,
$<br /> \sum_{k=0}^{n}\binom{n}{k}^2=\binom{2n}{n}<br /... | 4 | [
0.055419921875,
0.022705078125,
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0.08984375,
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0.07177734375,
0.0244140625,
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0.0205078125,
0.035888671875,
-0.0498046875,
-0.060791015625,
0.05712890625,
-0.01025390625,
0.024658203125,
0.1142578125,
0.061767578125,
0.072265625,
-0.02... | 22,229 | 22229 | |
Euclid Numbers
November 25th 2012, 03:24 AM #1
Newbie
Joined
Nov 2012
From
UK
Posts
4
Euclid Numbers
We can define Euclid numbers, e(n), by the following inductive definition:
e(1) = 2
e(n) = e(1) *...*e(n-1) + 1, n > 1
Calculating, we get
e(1) = 2
e(2) = e(1) + 1 = 2+1 =3
e... | 4 | [
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0.0712890625,
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-0.07421875,
0.031982... | 22,230 | 22230 | |
Is the tensorproduct of a triangulated category with a ring again triangulated?
up vote 7 down vote favorite
4
$\underline{Background}$ : Suppose $\tau$ is a preadditive category and $R$ a ring. Then one may form a new preadditive category $\tau \otimes R$ in the following way:
$\tau \otimes R$ has the same objects a... | 4 | [
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0.0634765625,
0.0541992... | 22,231 | 22231 | |
Find an equation for the line tangent to the graph
February 16th 2008, 01:03 PM #1
Newbie
Joined
Feb 2008
Posts
10
Find an equation for the line tangent to the graph
Find an equation for the line tangent to the graph of f(x)=3x(e^x) at the point (a, f(a)) if a=2.
I think you start with taking a deri... | 4 | [
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0.0302734375,
... | 22,232 | 22232 | |
Brevet US5809499 - Computational method for discovering patterns in data sets
CROSS REFERENCE TO RELATED APPLICATION
This application relates to Provisional Application, Ser. No. 60/005,778, filed on Oct. 20, 1995, entitled METHOD OF PATTERN COVERY IN DATA SETS.
1. FIELD OF THE INVENTION
The present invention relate... | 4 | [
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-0... | 22,233 | 22233 | |
Find the limit of (1+x)^(3/x)
August 3rd 2011, 12:41 PM #1
Newbie
Joined
Aug 2011
Posts
9
Find the limit of (1+x)^(3/x)
I'm trying to find the limit of (1+x)^(3/x) as x approaches 0. I've tried a million different ways to change the power to something where I can simplify 3/x by multiplying (1+x)^(3/x) b... | 5 | [
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0.0986328125,
-0.0588... | 22,234 | 22234 | |
[SOLVED] derivative help
y=x^(cosx) i thought the derivative was.... y'=ln(x)(x^cosx)(-sinx) where did i go wrong? thanks
$y=x^{\cos x}$ taking ln both side $ln y= \cos x \ ln x$ $\frac{d(ln y)}{dx}= \frac{d(\cos x\ ln x)}{dx}$ $\frac{1}{y} \frac{dy}{dx}= \frac{1}{x} \cos x -ln x\ \sin x$ $\frac{dy}{dx}= y\left ( \fra... | 5 | [
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Math Help
$\int{\frac{4x}{\sqrt{2x+1}}\,dx}$. Let $u = 2x + 1$ so that $x = \frac{u-1}{2}$ and $du = 2\,dx$. The integral becomes: $\int{\frac{4x}{\sqrt{2x+1}}\,dx} = \int{\frac{2x}{\sqrt{2x + 1}}\,2\,dx}$ $=
\int{\frac{u - 1}{\sqrt{u}}\,du}$ $= \int{u^{\frac{1}{2}} - u^{-\frac{1}{2}}\,du}$ $= \frac{u^{\frac{3}{2}}}{\... | 5 | [
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Is $Sym^n (V^*) \cong Sym^n (V)^\ast$ naturally in positive characteristic?
up vote 6 down vote favorite
7
Background/motivation
It is a classical fact that we have a natural isomorphism $Sym^n (V^*) \cong Sym^n (V) ^\ast$ for vector spaces $V$ over a field $k$ of characteristic 0. One way to see this is the followin... | 5 | [
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I.
Table of Contents | Introduction | Home
P l a n e G e o m e t r y
An Adventure in Language and Logic
based on
THE THREE ANGLES OF A TRIANGLE
Book I. Propositions 31 and 32
Proposition 31
Proposition 32
THE NEXT TWO PROPOSITIONS depend on the fundamental theorems of parallel lines: Propostion 27 and its con... | 4 | [
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Chain Rule Derivative
October 10th 2007, 04:10 PM
Happy
Chain Rule Derivative
The question is find dy/dx of $\frac{1}{4}\sin^2(2x)$.
which I rewrote as $\frac{1}{4}(\sin2x)^2$
then, using the chain rule, $\frac{1}{2}\sin2x\cos2x$.
But the book gives the answer $\frac{1}{2}\sin4x$.
Is my answe... | 4 | [
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0.013244628906... | 22,239 | 22239 | |
[Haskell-cafe] Gauss Elimination -> More Clean2Haskell
Ryan Ingram ryani.spam at gmail.com
Tue Nov 3 15:30:48 EST 2009
On Tue, Nov 3, 2009 at 12:02 PM, Philippos Apolinarius
<phi500ac at yahoo.ca> wrote:
> 1 --- The program must be implemented using arrays.
> Update must be done in place, in order to minimize use of ... | 4 | [
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[SOLVED] Find the principal
Needed now to get $700 in 3 years at 7% compounded continuously. Thank you.
So continuous compounded interest is the Pe^(rt) formula. So $700=P_0 e^{.07*3}$. Solve for P.
How do I solve that? I used ln 700/ ln e(.07*3) 31.20 but thats not right???
$<br /> 700 = P_0 e^{.07 * 3} \Leftrighta... | 4 | [
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-0.12353515625,
-0.019042968... | 22,241 | 22241 | |
differential equation help,
May 19th 2013, 11:19 AM #1
Super Member
Joined
Sep 2008
Posts
607
differential equation help,
$\frac{dS}{dt} = \frac{K_{cat}E_{0}S}{K_{m} + S}$
$\frac{dP}{dt} = \frac{K_{cat}E_{0}S}{K_{m}+S}$
with intial conditions $S(0) = S_{0}$$P(0) = p_{0)$
show that S and P ... | 5 | [
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-0.004425048828125,
0.011... | 22,242 | 22242 | |
Cube Root times Cube Root
November 30th 2009, 09:03 AM #1
Banned
Joined
Aug 2009
From
USA
Posts
126
Cube Root times Cube Root
cube root of 16(m^2)(n) multiplied by cube root of 27(m^2)(n)
I converted the problem to (16m^2n)^1/3 * (27m^2n)^/3.
Is this the correct way to write the original pr... | 4 | [
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-0.037841796875,
0.0... | 22,243 | 22243 | |
Year-Long Physics Project
September 20th 2006, 04:56 PM #1
ARGGHHHH!!!!! For the past two weeks I have been trying to come up for idea's for my freshman year-long physics project, and all I've come up with is some golf thing!!!
Any suggestions to testable topics?
Have you thought about something with wav... | 5 | [
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0.03173828125,
0.0510253906... | 22,244 | 22244 | |
Bounded Set Question - Real Analysis
October 26th 2008, 10:14 AM #1
Member
Joined
Jan 2008
Posts
78
Bounded Set Question - Real Analysis
Let a > 0 and n >= 3 be an integer. Definethe set S = {x > 0 : x^n <= a}.
1. Show that S is bounded above and thus that b = sup S exists.
2. Show that b^n = a. ... | 4 | [
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-0.07617... | 22,245 | 22245 | |
Tangent to a circle where m=1
May 20th 2009, 08:41 PM
ubhik
Tangent to a circle where m=1
Hi,
I have the equation of a circle, and hence I also know the centre and the radius. I need to find the tangent/s of gradient 1.
I have tried it many times by letting y=x + g the equation of the line and substitu... | 4 | [
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0.0277099609375,
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0.08349609375,
-0.0212402343... | 22,246 | 22246 | |
ification
I wasn't going to present quite so much code in this series, but the following intersection tests are (a) tricky to get working correctly and quickly, and (b) they're not exactly exciting, so I
thought I'd include them here as reference. I've also been saying things like "if the ray intersects the object..." ... | 4 | [
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increasing or decreasing function
for f(x)=x^4-32x+4 find where f'(x)=0, the intervals for which the function increase and decrease, and all the local extrema
Hi euclid2, $f'(x)=4x^3-32$ $f'(x)=0\ \Rightarrow\ x^3=\frac{32}{4}=8\ \Rightarrow\ x=2$ $f''(x)=12x^2$ This is positive when x=2, hence it is a minimum and sin... | 4 | [
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0.08349609375,
0.0322265625,
0.029052734375,
0.076171875,
0.0240478515625,
-0.060302734375... | 22,248 | 22248 | |
Prove the following equasion:
December 16th 2010, 04:56 AM
Punkbuster
Prove the following equasion:
Hey guys,
I have a question to prove the following equation:
$Sin^2aCos^2B - Sin^2Bcos^2a = Cos^2B - Cos^2a<br />$
What I mean by 'proving' is that you have to take one side of the equation and reach t... | 4 | [
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0.00982666015625... | 22,249 | 22249 | |
Skew-symmetric matrix determinant question
How do I prove that the determinant of an nxn, skew-symmetric matrix is always zero if n is odd?
And what's the definition of a skew-symmetric matrix? Can you tie that in with the equation I just gave you?
I got it already. Thanks alot for the help. I just proved that an inv... | 5 | [
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0.02... | 22,250 | 22250 | |
Particle System Based Adaptive Sampling on Spherical Parameter Space to Improve the MDL Method for Construction of Statistical Shape Models
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 196259, 9 pages
http://dx.doi.org/10.1155/2013/196259
Research Article
Particle System Based Ada... | 4 | [
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-0.01... | 22,251 | 22251 | |
Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 423154, 11 pages
http://dx.doi.org/10.1155/2013/423154
Research Article
Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate
^1... | 5 | [
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0.02734375,
0.005035400390625,
-0.... | 22,252 | 22252 | |
Geometrothermodynamics of Myers-Perry Black Holes
Advances in High Energy Physics
Volume 2013 (2013), Article ID 549808, 11 pages
http://dx.doi.org/10.1155/2013/549808
Research Article
Geometrothermodynamics of Myers-Perry Black Holes
^1Dipartimento di Fisica and ICRA, “Sapienza” Università di Roma, Piazzale Aldo Mo... | 4 | [
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-0.01495361328125,
-0.0473632... | 22,253 | 22253 | |
Rational number if n is even proof
January 13th 2009, 09:07 AM #1
Rational number if n is even proof
Prove that the number
( $\sqrt{5} + 1)^n + (\sqrt{5} - 1)^n , (n \in \mathbb{N})$
is rational if and only if n is even.
(I think going one way if n is even then its clear that its rational, what abo... | 5 | [
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Combination Kinematics Problem - Quadratic Formula
March 16th 2010, 03:20 PM
shadow6
Combination Kinematics Problem - Quadratic Formula
About 3 weeks ago I posted here because I needed help for a bonus question. Though I was told that I would need to do this myself due to it being a bonus. The test for it passed... | 4 | [
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Patent US6324491 - Method for determining a heat source model for a weld
This application claims the benefit of prior provisional patent application Serial No. 60/157,244 filed Oct. 1, 1999.
TECHNICAL FIELD
This invention relates generally to a method for determining a heat source model for a weld and, more particula... | 4 | [
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-0.... | 22,256 | 22256 | |
space curve question
March 10th 2008, 06:19 PM #1
space curve question
Two particles travel along the space curves
$r_{1}(t) = (t,t^2,t^3) \ \ r_{2}(t) = (1+2t, 1+6t, 1+ 14t)$
Do the particles collide? Do they intersect?
so far I have:
for $r_{1}(t) \ \ x=t \ \ y=t^2 \ \ z=t^3$
therefore $... | 5 | [
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-... | 22,257 | 22257 | |
Fields As Operators
Ray
Still not not there, obviously an operator valued field is a mathematical construction, that's the original point. Why are the creation and anhilation operators lodged in a field?
I might get criticism for this, because this is not the usual way that the subject is introduced, but to me, the... | 4 | [
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0.05224609375,
-0.054687... | 22,258 | 22258 | |
A Seemingly Simple Question Regarding the ratio of Two Gears
April 26th 2010, 06:02 AM #1
A Seemingly Simple Question Regarding the ratio of Two Gears
This is a problem posed by my pre-calc instructor. I feel like this is somehow rudimentary, but I can't find a solution. The problem goes as follows:
Two gear... | 4 | [
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Combination of Functions
January 14th 2008, 04:01 PM #1
Member
Joined
Nov 2007
Posts
232
Combination of Functions
In each of the following cases find:
$f \circ g$
$g \circ f$
$f \circ f$
$g \circ g$
c)
$f(x) = \sqrt{x}$
$g(x) = x^2$
For $f \circ g$
$= f(g(x))$
... | 4 | [
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... | 22,260 | 22260 | |
Prove n is prime (linked to Fermats little theorem)
April 10th 2010, 01:08 PM
Deadstar
Prove n is prime (linked to Fermats little theorem)
Show that $n$ is prime iff $a^{n-1}$ ≡ $1( \textrm{mod} n)$ for $1 \leq a \leq n-1$.
=> Fermats little theorem.
<= (Wondering)
Perhaps show that $\phi(n) = n-1... | 4 | [
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0.1318359375,
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... | 22,261 | 22261 | |
Patent US4603348 - Method for composing addresses of a memory
BACKGROUND OF THE INVENTION
The present invention relates to a method for generating addresses of a memory in which a plurality of data corresponding to a plurality of addresses can be assessed simultaneously.
Ordinarily, while a data is written in or read... | 4 | [
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... | 22,262 | 22262 | |
Another counting problem
December 19th 2011, 06:38 AM
alexmahone
Another counting problem
How many 2 x 2 matrices are there with entries from the set {0, 1, ..., k} in which there are no zero rows and no zero columns.
My solution
No. of matrices in which there are zero rows $=2(k+1)^2-1$ (Assume that t... | 5 | [
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0.033203125,
-0.08544921875,
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0.05615234375,
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0.0186767578125,
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0.01171875,
0.036865234375,
-0.036132... | 22,263 | 22263 | |
Finding dimensions of a can
November 7th 2011, 03:55 AM
ravenkatie
Finding dimensions of a can
I have never been good at solving word problems as I can never figure out how to transfer that into mathematical terms. I wish I could show some effort as I definitely don't want anyone to "just
solve it for me" bu... | 4 | [
0.01031494140625,
0.032958984375,
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0.00008678436279296875,
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0.007415771484375,
0.10009765625,
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0.09228515625,
0.0703125,
-0.0230712890625,
-0.00885009765625,
-0.0110473632... | 22,264 | 22264 | |
Understanding of Thermal Conductance of Thin Gas Layers
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 692842, 7 pages
http://dx.doi.org/10.1155/2013/692842
Research Article
Understanding of Thermal Conductance of Thin Gas Layers
Department of Engineering Mechanics and CNMM, Tsinghua University, B... | 4 | [
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0.0644... | 22,265 | 22265 | |
Find last digit
February 21st 2011, 01:44 PM
mathematic
Find last digit
Find the last digit of (a). 13^121, (b). 8^99, (c). 777^777
I know there's something I do to write these as smaller numbers, but am unsure on how to do this.
February 21st 2011, 02:12 PM
emakarov
The last digit of the result is d... | 5 | [
-0.06298828125,
0.0654296875,
-0.0257568359375,
-0.045654296875,
-0.007476806640625,
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-0.05029296875,
0.07421875,
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-0.056884765625,
0.0279541015625,
0.0107421875,
-0.0390625,
-0.0020751953125,
-0.0252685546875,
-0.01220703125,
-0.111328125,
0.05908... | 22,266 | 22266 | |
Mathematical Model of Schistosomiasis under Flood in Anhui Province
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 972189, 7 pages
http://dx.doi.org/10.1155/2014/972189
Research Article
Mathematical Model of Schistosomiasis under Flood in Anhui Province
^1School of Mathematical Sciences, Anhui Universi... | 5 | [
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... | 22,267 | 22267 | |
Solution of a Differential equation (Linear, 1st order). x=dependent variable
coolhand
the problem is as follows:
[1-(12*x*(y^2))]*(dy/dx)=y^3
we need to solve this equation such as x=5 & y=2 by regarding y as the independent variable.
Here is my work for the first attempt:
Step 1)separation & integration
Step 2... | 5 | [
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0.039306640625,
-0.00994873046875,
0.01708984375,
-0.0791015625,
-... | 22,268 | 22268 | |
Solving Trig Equations
4cos2x = - √8 cos(3x + 180º) = √3/2 cos2x-sin2xsecx = 1 Thanks in advance.
Well we're either factoring or using the trig identities (along with addition/half/double angle formulas)
Some identities could be helpful here, but maybe you don't need them at all. Take #1 for example $\displaystyle 4\... | 4 | [
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-0.03271484375,
0.03... | 22,269 | 22269 | |
Sample Distribution for Proportions check hmwk please
August 8th 2009, 07:39 PM #1
Newbie
Joined
Jul 2009
Posts
8
Sample Distribution for Proportions check hmwk please
Ch. 18.
According to Gallup, about 33% of American students polled said they frequently experience stress in their daily lives. Suppo... | 5 | [
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0.10986328125,
0.0400390625,
0.047607421875,
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0.0625,
-0.01806640625,
0.06494140625,
0.099609375,
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0.0000133514404296875,
0.0322265625,
0.055419921875,
-0.01318359375,
-0.01708984375,
-0.04052734375,
... | 22,270 | 22270 | |
equation of a line perpendicular to the line defined
June 6th 2007, 05:19 AM
Alexander
equation of a line perpendicular to the line defined
which one of the following is the equation of a line perpendicular to the line defined by 3x -5y = 2?
1. 3x + 5y = 2
2. -3x + 5y = 2
3. 5x - 3y = 2
4. 5x + ... | 4 | [
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0.150390625,
-0.09716796875,... | 22,271 | 22271 | |
Is the inertia stack of a Deligne-Mumford stack always finite?
up vote 5 down vote favorite
Let X be a DM stack over a field k. We follow the definition in Laumon and Moret-Bailly's book, so that its diagonal is quasi-compact (and hence diagonal is of finite type). Then is the diagonal
necessarily finite?
Edit: I mea... | 5 | [
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0.0099487304687... | 22,272 | 22272 | |
Proving an identity
Establish the identity: (cotθ / 1- tanθ) + (tanθ / 1 – cotθ) = 1+ tanθ + cotθ
Last edited by mr fantastic; March 26th 2009 at 06:50 PM. Reason: Moved post and edited
Hello xhazel06xIf we let $\tan\theta = t$, then $\frac{\cot\theta}{1-\tan\theta}+\frac{\tan\theta}{1-\cot\theta}= \frac{\frac{1}{t}}... | 4 | [
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-0.... | 22,273 | 22273 | |
Show equation has Exactly one real root
Take two numbers, say -1 and 0. Then f(-1) = -6 < 0 and f(0) = 1 > 0 (Letting f(x) = 1 + 2x + x^3 + 4x^5.)
By the Intermediate Value Theorem there exists a number "c" between -1 and 0 such that f(c) = 0. So the equation has a real root. Then suppose there are two roots a and b.
... | 4 | [
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... | 22,274 | 22274 | |
HaskellWiki
Nonogram
From HaskellWiki
(Difference between revisions)
m m
← Older edit
Line 343: ... | 4 | [
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Brevet US6222369 - Method and apparatus for determining battery properties from complex impedance/admittance
This is a Continuation application of U.S. patent application Ser. No. 09/151,324, filed Sep. 11, 1998, now U.S. Pat. No. 6,037,777.
BACKGROUND OF THE INVENTION
Small-signal ac measurement techniques have prov... | 4 | [
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0.0186767578125,
-0.006011962890... | 22,276 | 22276 | |
Patente US6111588 - Creating and modifying curves on a computer display
BACKGROUND
The invention relates to creating and modifying curves on a computer display.
Curves in graphics programs, such as the Illustrator program from Adobe Systems Incorporated in San Jose, Calif., can be created on a computer display by a u... | 4 | [
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0.0073242187... | 22,277 | 22277 | |
Function analysis
October 24th 2009, 06:20 PM
live_laugh_luv27
Function analysis
$<br /> f(x)=\frac{x^2+3x-4}{x^2+x-2}<br />$
a. Find the domain of function
b. Find $\lim_{x\to1}f(x)$
c. Find all vertical and horizontal asymptotes
d. Find $\lim_{x\to\infty}f(x)$
Here are my answers...ar... | 4 | [
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0.030517578125,
0.017578125,
-0.11083984375... | 22,278 | 22278 | |
Series question
May 1st 2009, 08:16 PM #1
Series question
Evaluate
$\sum_{k=2}^{\infty}\,\,(\frac{2}{3^{k}} + \frac{1}{2^{k}})$
So I separated the two sums and also change the dummy variable using $n=k-2$ so I can eventually have two geometric series:
$2\sum_{n=0}^{\infty}\,\,(\frac{1}{3})^{n+2} + ... | 5 | [
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0.01123046875,
-0.09326... | 22,279 | 22279 | |
find the matrix for ProjL with respect to the basis
February 10th 2011, 11:09 AM #1
Member
Joined
Oct 2010
Posts
127
find the matrix for ProjL with respect to the basis
Let L be the line in R3 spanned by v1=[1 1 1]
(a)Find a basis {v1, v2} for the plane perpendicular to L.
(b) Let ProjL be the pr... | 5 | [
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0.04638671875,
-0.11181640625,
... | 22,280 | 22280 | |
Cauchy sequences and subsequences
March 31st 2011, 09:30 PM #1
Member
Joined
Feb 2011
Posts
83
Thanks
2
Cauchy sequences and subsequences
I have the following theorem
If ${x_n}$ is Cauchy and ${x_n_{k}}$ is a convergent subsequence, then ${x_n}$ converges.
$n,m > N$ implies $d(x_n,x_m) < \f... | 4 | [
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-0.0059... | 22,281 | 22281 | |
[SOLVED]Make x the subject in y = 2x - x^2.
May 19th 2010, 03:37 PM #1
Junior Member
Joined
Jan 2010
Posts
43
[SOLVED]Make x the subject in y = 2x - x^2.
Hi it's late but I can't seem to single out x in the following equation:
$y = 2x - x^2$
Can it be done?
I want to evaluate the volume by... | 5 | [
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0.0791015625,
0.026123046875,
0.01556396484375,
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0.02... | 22,282 | 22282 | |
Method and apparatus for generating and summing the products of pairs of numbers - Patent # 4692888 - PatentGenius
Method and apparatus for generating and summing the products of pairs of numbers
4692888 Method and apparatus for generating and summing the products of pairs of numbers
Patent ... | 4 | [
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particles
November 26th 2008, 12:07 AM
Faz
particles
A particle is moving along a straight trajectory. The distance covered by a particle is described by the function S(t) = 2t^3 + 5t^2 , where t > 0 is the time.
a)What is the distance covered by the particle by time t = 4 ?
b)Find approximate value of... | 4 | [
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-0.03125,
-0.0... | 22,284 | 22284 | |
Standard error of estimates - Linear Regression
October 25th 2012, 06:24 AM #1
Junior Member
Joined
Oct 2012
From
England
Posts
25
Standard error of estimates - Linear Regression
Hi, the question gives the following data:
x 1.2 1.0 1.5 1.2 1.4
Y 25 40 10 27 16
I worked out the est... | 4 | [
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parameter estimation
December 1st 2008, 06:49 AM
Simo
parameter estimation
I'm working with the following conditioned probability density
$\Pr(R|N)= \binom {L} {L-R}\sum_{r=1}^{R}\binom {R} {r} (-1)^{R-r}\left(\frac{r}{L}\right)^N <br />$
where $L,R,N$ are discrete variables, $L,R,N>0$and $R<=L$.
W... | 4 | [
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0.00531005859375,
0.006927490234375,
0.06787109375,
0.09716796875,
-0... | 22,286 | 22286 | |
Principal value and integral of 1/z
I am slightly confused about the definition of principle value. If we have an integral
[tex]\int 1/z,[/tex]
where the integration from [tex]-\infty[/tex] to [tex]\infty[/tex] is implied, then by Cauchy integral theorem we know that the principle value
[tex]P \int 1/z=i\pi.[/tex]
How... | 4 | [
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Need Help With a Derivation Involving Universal Quantifiers
July 28th 2008, 01:41 PM
mirko
Need Help With a Derivation Involving Universal Quantifiers
Hi!
I'm trying to teach myself logic, using Suppes' Introduction to Logic, which seems to be a great book, but it unfortunately comes without any solutions t... | 5 | [
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Spatial Dimension, Dimensionality, nothing is solid
That makes the volumetric or spatial difference one quadrillionth =
10^-15 = ( .000 000 000 000 001 ) .
This ratio is approximately the same size as a spherical dot (tittle) above the letter
" i "
(the proton) on the fifty - yard line in a football stadium (the or... | 4 | [
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0.0703125,
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Cauchy Schwarz question
December 1st 2009, 07:57 AM #1
Newbie
Joined
Sep 2009
Posts
5
Cauchy Schwarz question
I have no idea to start. I'm struggling so much in this class. Can someone help me out?
(a) Given that x² + y² + z² = 1, use the cauchy-schwarz inequality to find the largest possible value ... | 5 | [
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-0.0415... | 22,290 | 22290 | |
SFM Formula?
03-26-2010, 08:23 PM #1
Plastic
Join Date
Feb 2010
Location
Buffalo'ish
Posts
9
When I first went to a local trade school, and we were figuring SFM for drilling, we were taught the formula sfm=4xcutting speed dividedby tool dia.. I've been doing cnc milling for now 10 yrs.
and always ... | 4 | [
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0.125,
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D'Alembert's Wave. Seems Easy Or Maybe I'm Missing Something???
July 13th 2008, 03:41 PM
mathfied
D'Alembert's Wave. Seems Easy Or Maybe I'm Missing Something???
Hi I have this D'Alembert's question. What I've done seems easy so I wanted to clarify just in case I'm missing something, cus it seems so easy. Second... | 5 | [
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n-th derivative of u'exp(u)
January 31st 2008, 10:41 AM #1
n-th derivative of u'exp(u)
Hello...
BIG question (big for me, at least): Is there a general formula for the n-th derivative of
$<br /> u'e^u\\<br />$
Basically I have a function exactly like that and I need to extract the n-th derivative.
... | 5 | [
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-0.037109375,
0.012... | 22,293 | 22293 | |
Characteristic normal subgroups
September 25th 2008, 05:52 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Characteristic normal subgroups
Prove that every characteristic subgroup of a normal subgroup of a group G is a normal subgroup of G, and that every characteristic subgroup of a characteri... | 5 | [
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Domain and Range
January 27th 2008, 10:11 AM #1
Newbie
Joined
Jan 2008
Posts
6
Domain and Range
Hi!
I am stuck on the following question:-
What is the Domain and Range of f
I really have no clue and would be extremely grateful if someone could explain the procedure to this.
Many man... | 4 | [
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-... | 22,295 | 22295 | |
Fourier of boxcar vs rectangular
So say I do a fourier transform of a rectangular function with magnitude 1 from (0, NT). The fourier transform of this would be:
[itex]f(jΩ) = \frac{1-e^{-jΩNT}}{jΩ} = NT\cdot{e^{-jΩNT/2}}\cdot{sinc(ΩNT/2)}[/itex]
Now say if I sample this rectangle at time T producing N samples, the D... | 4 | [
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-0.06787109375,
-0.01... | 22,296 | 22296 | |
Laplace Transform - Convolution Theorem
February 10th 2009, 05:23 AM
Octopus
Laplace Transform - Convolution Theorem
Q)The output y(t) of a linear system, with impulse response of h(t), subjected to an input function x(t) is given by y(t) = h(t) * x(t)
If x(t) = u(t) and H(s) = 4/s^2 +2s + 5 ,
Solve fo... | 5 | [
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0.03759765625,
0.01220703125,
-... | 22,297 | 22297 | |
Trouble calculating residues
June 25th 2009, 04:08 AM #1
Newbie
Joined
Mar 2009
Posts
12
Trouble calculating residues
Hello,
I'ld like to calculate the reside of $f(z):=\frac{z^{n-1}}{\sin^n(z)}$ at $z_0=0$.
Using the definition I get $\text{res}_{0}f = \frac{1}{2\pi i} \int_\kappa \frac{z^{n-1... | 5 | [
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-0.0354... | 22,298 | 22298 | |
Lp-norm converges to Chebyshev norm?
November 12th 2010, 12:52 AM #1
Junior Member
Joined
Oct 2008
Posts
61
Lp-norm converges to Chebyshev norm?
My textbook says that the Lp-norm converges to the Chebyshev norm. This seems intuitive, but I fail to prove it.
Thus, my question is, how do I prove that ... | 4 | [
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