content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Help Solving a System Of DEQ's
HallsofIvy
If you "multiply" the first equation by D-3 and the second equation by D you get
D^2(D-3)x- D(D-3)y= (D-3)t= -3t
D(D+3)x+ D(D-3)y= 0 and then adding eliminates y:
D^2(D-3)x+ D(D-3)x= -3t or D(D+1)(D-3)x= -3t.
Solve that equation for x, then put that x into D^2x- Dy= t and ... | 4 | [
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0.05126953125,
-0.00567626953125,
-0.026123... | 18,000 | 18000 | |
Limiting Distribution of Poisson RV
November 14th 2009, 01:42 PM #1
Newbie
Joined
Nov 2008
Posts
14
Limiting Distribution of Poisson RV
Let $Z_n\sim poisson(\mu=n)$. Show that the limiting distribution of $Y_n=\frac{Z_n-n}{\sqrt{n}}$ is a standard normal distribution.
If anyone can point me in the r... | 5 | [
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0.0274658203125,... | 18,001 | 18001 | |
Fundamental Theorem of Calculus
March 9th 2009, 03:35 PM #1
Member
Joined
Nov 2007
Posts
232
Fundamental Theorem of Calculus
All my answers for the following questions are wrong, so please point out where I made the mistakes and how I could fix them or correct them for me! Thank you.
Evaluate the gi... | 5 | [
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... | 18,002 | 18002 | |
Logic and Proof help!
January 25th 2011, 07:59 PM
EE200
Logic and Proof help!
I'd like to know if I did these problems correctly:
1.Give an example of a partition of N into 3 subsets.
ANSWER: Let s={A,B,C) where A={x β N:2x},B={x β N:4x-1} and C={1}
2.For a real # r, define S<subscript>r</subscript... | 4 | [
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0.0390625,
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-0.0... | 18,003 | 18003 | |
Factorization question
April 27th 2013, 10:39 PM #1
Newbie
Joined
Apr 2013
From
singapore
Posts
5
Factorization question
Can somebody please help me with this factorization question:
Factorise fully 3x^3y - 3x^2y + 6xy - y + (xy)/2 - (x^2y)/2
I tried this question and this is what I have do... | 4 | [
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-0.057373046875,
-0.02941894531... | 18,004 | 18004 | |
Series help!
March 24th 2008, 02:39 PM #1
Member
Joined
Aug 2007
Posts
96
Series help!
Okay, There are a few on my homework that i don't understand...
A ball drops from a height of 19 feet. Each time it hits the ground, it bounces up 40 percents of the height it fall. Assume it goes on forever, find... | 4 | [
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0.0419921875,
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-... | 18,005 | 18005 | |
Find plane, given a line & perpendicular plane
Excelled
Please help me! I have been sitting with this problem for god knows how long, and I just can't figure it out. I've tried re-reading the problem text, re-reading the chapter, reading alternative
explanations on the web, drawing the problem on paper -- heck, I've e... | 5 | [
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... | 18,006 | 18006 | |
Hypothesis testing
November 29th 2010, 06:17 PM #1
Member
Joined
Jun 2007
Posts
79
A recent study stated that if a person smoked, the average of the number of
cigarettes he or she smoked was 14 per day. To test the claim, a researcher
selected a random sample of 40 smokers and found that the mea... | 5 | [
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Patent US8035860 - Method for processing FM-AM mixed halftone images on a multi-bit depth imaging apparatus
Publication US8035860 B2
number
Publication Grant
type
Application US 12/091,290
number
PCT number PCT/CN2006/000856
Publication Oct 11, 2011
date
Filing date Apr 29, 2006
Priority Oct 26, 2005
date
Al... | 4 | [
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0.... | 18,008 | 18008 | |
Continuity proof
August 4th 2013, 05:36 PM
krcmd
Continuity proof
Munkres p30 prob. 6: " $Let X = A \cup B$, where A and B are subspaces of X. Let $f:X \rightarrow Y$; suppose that the restricted functions $f|A:A \rightarrow Y$ and $f|B \rightarrow Y$are
continuous. Show that if both A and B are closed in X,... | 5 | [
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-0.029... | 18,009 | 18009 | |
Need an example fill out please :)
December 21st 2009, 05:01 PM #1
Newbie
Joined
Dec 2009
Posts
3
Need an example fill out please :)
Hello
The math problems im gonna post below may be below most of you but i missed a few days of shcool so i didn't lear how to solve these equations. the teacher let me... | 4 | [
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0.05371... | 18,010 | 18010 | |
Nuber Theory and Sequences
September 10th 2013, 04:28 AM
Orpheus
Nuber Theory and Sequences
Hello MHF, Here's a problem that I couldn't solve, could anyone help me.
- Here's the things i already figured out :
U(1) = U(2) = 1
U(n+1) = U(n) + U(n-1) \ n is greater than 2
U(n+p) = U(n) * U(P-1) + U... | 5 | [
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Patente US5905818 - Method of providing a representation of an optical scene by the Walsh-Hadamard transform, and an image sensor implementing the method
BACKGROUND OF THE INVENTION
The present invention relates to a method of providing a representation of an optical scene by the Welsh-Hadamard transform, and to an im... | 4 | [
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0... | 18,012 | 18012 | |
compound interest problem
May 23rd 2007, 12:12 PM
imppy725
compound interest problem
A syntesizer is advertised at $500 down and $100 per month for 18 months. If interest is charged at 18% per annum compounded monthly, what is the cash proce of the synthesizer?
hi guys, i need to know what does $500 down me... | 4 | [
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0.00321960449... | 18,013 | 18013 | |
Pipe Flow 3D - Pressure Drop Theory
This page describes in detail which factors need to be considered when calculating pressure drops through pipe systems, their effects on fluid flow and conditions at the pump inlet,
and how Pipe Flow 3D can help with the calculations.
... | 4 | [
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0.0101... | 18,014 | 18014 | |
Prove an identity and solve an equation
November 18th 2009, 08:05 PM #1
Newbie
Joined
Nov 2009
Posts
3
Prove an identity and solve an equation
Prove the following identity:
[tan(x)+cot(x)]/[sec(x)-tan(x)] = sec^2(x) + sec(x)tan(x)csc^2(x)
Solve the Following Expression:
(16/81)^[sin^2(x)]... | 4 | [
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-0.0534667... | 18,015 | 18015 | |
Heat equation solving quadratic equation with complex numbers
1. The problem statement, all variables and given/known data
given that kΞ»^2-Οc[p]uΞ»-Οc[p]Οi=0
plug into the quadratic formula and get out an equation that looks like this
Ξ»=Ξ±+iΞ²Β±Ξ³β(1+iΞ΄) where Ξ±,Ξ²,Ξ³,and Ξ΄ are in terms of Ο,c[p],u,k, and Ο
2. Relevant equa... | 4 | [
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-0.034... | 18,016 | 18016 | |
Pythag Thm, Law of Sines, Cosines
dan's math@home - lessons - precalculus
If you know two sides of a right triangle, you can find the third by using the
Pythagorean Theorem: a^2 + b^2 = c^2. (back to trig page)
The four triangles have be... | 4 | [
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0.023... | 18,017 | 18017 | |
proof with quadratic residue
July 17th 2011, 07:45 AM #1
Junior Member
Joined
Feb 2010
Posts
45
proof with quadratic residue
Prove that if $p \equiv 3 (\mod{8})$ and $(p-1)/2$ is prime then $(p-1)/2$ is a quadratic residue $(\mod{p})$.
I believe I need to show that $(((p-1)/2)/p) = 1$. Will someone ... | 5 | [
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Secure communications using the KLJN scheme
From Scholarpedia
Derek Abbott and Gabor Schmera (2013), Scholarpedia, 8(8):31157. doi:10.4249/scholarpedia.31157 revision #139375 [link to/cite this article]
Introduction
Kirchhoff-Law-Johnson-Noise (KLJN) secure key distribution (Cho 2005),(Palmer 2007), (Kish 2006),(M... | 4 | [
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Show proofs
August 12th 2007, 04:48 AM
ArchReimann
Show proofs
Can anyone help me with these proofs:
1. Prove that for any set A and B, the
$P(A \cap B) = P(A) \cap P(B)$
where P(X) = power set of X.
2. Prove that for every real number x, there is a real number y such that
$(x+y = xy) \lef... | 5 | [
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-0.035888671875,... | 18,020 | 18020 | |
Patent US6919880 - Calibrating camera offsets to facilitate object position determination using triangulation
FIELD OF THE INVENTION
The present invention relates generally to target acquisition and in particular to a method of calculating camera offsets to facilitate object position determination using triangulation.... | 4 | [
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Zeroes at the end of a FACTORIAL
SteveRives
Your question is the same as finding out how often 5 is a prime factor on the natural numbers.
So I am guessing that 100! has 20 zeros, because in counting by fives, we get to 100 after 20 steps.
You are WRONG, SteveRives.
24 zeros is the answer.
(*)
You will have a num... | 4 | [
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... | 18,022 | 18022 | |
quick question
y = 15 sin(Οt + a), determine dy/dt.... i'm just confused by the Ο on this one
It appears that $\omega$ and $a$ are arbitrary constants. So you can use the chain rule to find this derivative. Let $u = \omega t + a$. Then $y = \sin{u}$. So $\frac{du}{dt} = \omega$ and $\frac{dy}
{du} = \cos{u} = \cos{(\o... | 5 | [
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-0.09716796875... | 18,023 | 18023 | |
Infinite sequence (recursive)
September 20th 2009, 10:42 AM #1
Member
Joined
Sep 2009
Posts
151
Infinite sequence (recursive)
Let $x_0$ and $k$ be positive real numbers.
$<br /> x_n = \frac{k}{1+x_{n-1}} , \text{ for } n\geq1<br />$
Now prove that either of the sequences $x_1 , x_3, x_5 \dotsb$ ... | 5 | [
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-0.0164794... | 18,024 | 18024 | |
Divergence of sequence
April 3rd 2011, 02:49 PM
EinStone
Divergence of sequence
Consider $f: \mathbb{C} \rightarrow \mathbb{C}$, $f(z) = z^2 - 2$.
Show that if $|z| > 2$, then the sequence z, f(z), f(f(z), ... diverges, i.e. is unbounded.
April 3rd 2011, 05:21 PM
Drexel28
April 4th 2011, 02:38 AM
EinStone... | 4 | [
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... | 18,025 | 18025 | |
Critical Thinking with Functions
August 21st 2011, 09:05 AM #1
Newbie
Joined
Aug 2011
Posts
2
Hello, I'm new to the forum and would like to get some help with two problems that both relate to analyzing functions. I understand the basic concepts but these questions have been placed under
the category o... | 4 | [
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... | 18,026 | 18026 | |
Euler problems/21 to 30
From HaskellWiki
Evaluate the sum of all amicable pairs under 10000.
Solution:
--http://www.research.att.com/~njas/sequences/A063990
problem_21 = sum [220, 284, 1184, 1210, 2620, 2924, 5020, 5564, 6232, 6368]
What is the total of all the name scores in the file of first names?
Solution:
i... | 5 | [
-0.09228515625,
0.06298828125,
-0.0052490234375,
-0.010498046875,
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0.048095703125,
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0.07958984375,
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0.033203125,
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-0.04736328125,
-0.107421875,
0.0185546875,
-0.039794921875,
-0.047607421875,
... | 18,027 | 18027 | |
Unsplitting Limits of Integration
April 27th 2010, 06:12 PM #1
Super Member
Joined
Dec 2008
From
Scotland
Posts
901
Unsplitting Limits of Integration
Suppose I was integrating some function $f(x)$ across the interval [a,d].
Suppose, though, that this function was a piecewise function defined as ... | 4 | [
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0.0947265625,
-0.003021240234375,
0.0152587890625,... | 18,028 | 18028 | |
Basic logarithmic expression
February 3rd 2014, 12:02 PM #1
Newbie
Joined
Nov 2013
From
Austria
Posts
20
Thanks
2
Basic logarithmic expression
As a result of looking for the analytical solution to the following indefinite integral
$\int\frac{dx}{(1-x)}=\int\frac{dt}{\tau}$
I came to the... | 5 | [
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0.00491333007... | 18,029 | 18029 | |
Patent US7864175 - Fast gridding of irregular data
CROSS REFERENCE TO RELATED APPLICATIONS
This non provisional application relates to a Provisional Application:
Title: Fast Gridding of Irregular Data
U.S. Application No. 60/767,191
EFS ID: 104877
Filing Date: 9 Mar. 2006
the entirety of which is incorporated her... | 4 | [
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... | 18,030 | 18030 | |
Patent US7869488 - Method and apparatus for removing code aliases when using short synchronization codes
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is related to the following co-pending and commonly assigned patent application(s), all of which applications are incorporated by reference herein:
Applicat... | 4 | [
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find the sine cosine and tangent
January 23rd 2010, 06:10 AM
GoldenBoy
find the sine cosine and tangent
My question as follows derives from:
sin(x)=a/c;
given values a=3 and c=5 just for examples sake:
sin(x)=3/5=0.6.
ok, so my question is, knowing the sine of the angle i would like to calcul... | 5 | [
-0.08984375,
-0.007537841796875,
-0.058349609375,
-0.0191650390625,
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-0.1083984375,
... | 18,032 | 18032 | |
Please help - Function and Graph
December 8th 2007, 04:32 AM #1
Newbie
Joined
Dec 2007
Posts
2
Please help - Function and Graph
Could someone please help me with this question:
The figure on the right shows the graph of y = f(x) = -x.
Use the graph to sketch the graph of each of the following fu... | 4 | [
-0.029296875,
-0.03662109375,
-0.03173828125,
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-0.10... | 18,033 | 18033 | |
Can anyone help me with 2 homework questions?
March 20th 2013, 08:49 AM #1
Newbie
Joined
Mar 2013
From
MA
Posts
4
Can anyone help me with 2 homework questions?
Been stuck on these two for a while now. Would anyone be able to help me with them? Thanks!
#1.) Prove by contradiction that for all n β... | 4 | [
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0.025634765625,
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0.018310546875,
0.0299072265625,
-0.0031433... | 18,034 | 18034 | |
Dedekind Domain
Let $M$ be a finitely generated module over a Dedekind domain. Prove that $M$ is flat $\Longleftrightarrow$$M$ is torsion free.
$\Longrightarrow$: let $0 eq r \in R, \ x_0 \in M,$ and $rx_0=0.$ consider the R-homomorphism $f: R \longrightarrow R,$ defined by $f(s)=rs.$ since R is an integral domain, $f... | 5 | [
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0.064453125,
-0.004547119140625... | 18,035 | 18035 | |
calculate electric field components, simple
November 22nd 2008, 03:21 AM #1
calculate electric field components, simple
I need help with this question,
A conducting sphere of radius a is surrounded by the electric potential
$F = \frac{Acos\theta}{r^2} + Crcos\theta$
where A and C are constants and ... | 4 | [
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... | 18,036 | 18036 | |
Algebra 2 problems, need help
August 14th 2008, 04:25 PM
Kingreaper
Algebra 2 problems, need help
Ok, these are problems from a summer packet I have to turn in for precalc honors. The problems are based around algebra 2.
Find the inverses, f^-1(x) of the following functions using 3 different methods.
f(... | 5 | [
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0.029296875,
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0.00543212890625,
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0.03515625,
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-0.0534667... | 18,037 | 18037 | |
[SOLVED] if cosA = 4/5; sin <0; cosB = 12/13; 0<B>90, determine sin(A-B)
April 17th 2008, 09:13 AM #1
Newbie
Joined
Apr 2008
Posts
18
[SOLVED] if cosA = 4/5; sin <0; cosB = 12/13; 0<B>90, determine sin(A-B)
Please help with this one ... thanks so much
if cosA = 4/5; sin <0; cosB = ... | 4 | [
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0.04296875,
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-0.032958984375,... | 18,038 | 18038 | |
The principle of reversible Kater's pendulum and why its rod's ends are pointed
hypernova90
1.Why the distance between knife edges (when the time periods about them is approx same) is considered equal to the length of an equivalent simple pendulum ?? It will be great if you can derive
it....
This result is not obvi... | 5 | [
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-0.07275390625,
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0.0029449462890625,
-0.0016403198242... | 18,039 | 18039 | |
hypotenuse of a right triangle
March 25th 2007, 09:33 AM
JayJay1206
hypotenuse of a right triangle
Hi,
I need help with this problem. May someone help me please?
The Problem is: You are asked to prove the theorem given below, using the figure shown. What specifically do you need to prove in the figure?... | 4 | [
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0.0172119140625,
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0.00139617919921875,
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-0.04... | 18,040 | 18040 | |
Isentropic Flow Equations
As a gas is forced through a tube, the gas molecules are deflected by the walls of the tube. If the speed of the gas is much less than the speed of sound of the gas, the density of the gas remains
constant and the velocity of the flow increases. However, as the speed of the flow approaches the... | 4 | [
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0.021484375,
0.0561... | 18,041 | 18041 | |
volume of hemisphere using Rieman's sums
May 22nd 2008, 02:31 PM #1
Member
Joined
Oct 2007
Posts
159
volume of hemisphere using Rieman's sums
We have started getting volumes and areas using Reiman's sums and then turning them into definite integrals. I get some of this but there is one part when we take ... | 5 | [
-0.019775390625,
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0.05419921875,
-0.005096435546875,
0.037353515625,
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0.042236328125,
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0.031494140625,
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-0.12255859375,
-0.050537109375,
0.0495605... | 18,042 | 18042 | |
2nd order nonlinear differential equation
Well, I can't seem to find an error in my derivation and I can't decipher your writing, so I will assume the derivation I posted is correct. As someone already mentioned in this thread, it seems
impossible that the equation can be solved in a closed form. So, I'm afraid you are... | 5 | [
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-0... | 18,043 | 18043 | |
How to find an electric potential in anisotropic, inhomogeneous medium
Hello!
(I am sorry for probable mistakes. English is not my native language. I have never written anything about mathematics and physics in English.)
I have an electrostatic problem. I need to find an electric potential [itex]\psi[/itex] ([itex]\v... | 4 | [
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0.046142578125,
0.06298828125,
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0.0634765625,
0.072265625,
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-0... | 18,044 | 18044 | |
[SOLVED] Chain rule with functions depending on other functions
August 12th 2009, 03:43 AM
garymarkhov
[SOLVED] Chain rule with functions depending on other functions
Hello all! I'm stuck in a big way on this one.
Here are the givens:
q1(P,S,y) = 6*P^(-2)*S^(3/2)*y
q2(P,S,y) = 4*P*S^(-1)*y^2
... | 5 | [
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0.0966796875,
0.05322265625,
0.046875,
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0.02807617187... | 18,045 | 18045 | |
Group Theory - Sylow and Conjugation
January 21st 2009, 09:30 AM
pavelr
Group Theory - Sylow and Conjugation
A couple of questions I had hard time solving (and not succeeded).
1. We showed that for every p-sylow group P in G, the following is true:
$N_G(N_G(P)) = N_G(P)$. Show that equation isn't true f... | 5 | [
0.041259765625,
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0.12109375,
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0.025634765625,
0.00885009765625,
0.000... | 18,046 | 18046 | |
Orthogonal Complement
May 31st 2009, 10:44 AM
frater_cp
Orthogonal Complement
What is Y^{\perp} if Y= span{e_1,e_2, \cdots , e_n} \subset \mathbb{l}^2, where e_j=(\delta_{ij}) ?
e_1 = (1,0,0,0, \ldots)
e_2 = (0,1,0,0, \ldots) etc.
May 31st 2009, 11:14 AM
Jose27
It depends: Is your $n$ a fixed int... | 5 | [
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-0.0308837890625,
0.056884765625,
-0.0174560546875,
-0.018... | 18,047 | 18047 | |
Thermal Conductivity and Boundry Layer
morrobay
Thermal Conductivity , k , for water is .1455 cal/sec/ meter * C ( converted watts to cal/sec)
Q/t = k* A delta T/ d
A= area M^2
d = thickness of water/ice boundary layer
Suppose I want to calculate time for 100 grams of ice to melt ( 8000 calories absorbed
from surrou... | 5 | [
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0.00860595703125,
0.0108032226... | 18,048 | 18048 | |
[SOLVED] Probability Proof
October 11th 2008, 08:38 AM #1
Newbie
Joined
Oct 2008
Posts
16
Hi i am new to this so can you please help with the following
Let A,B,C be events. Explain why
1. P(AuBuC)= P(A) + P(B/A) + P (C/(AUB)).
Deduce that
2. P(AUBUC)< P(A)+P(B) + P(C)
3. Formulate... | 5 | [
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0.039306640625,
0.0036773681640625,
-0... | 18,049 | 18049 | |
Math Help
March 9th 2011, 11:08 AM #1
Newbie
Joined
Feb 2011
Posts
24
Basis
Show that B = {x^2, (x -1)^2, (x + 1)^2}is a basis for P2
I'm not even sure how to do this, so any help would be great!
Well, you want to show that any polynomial in $P_{2}$ can be written as a linear combination of el... | 4 | [
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-0.026611328125,
-0.0600... | 18,050 | 18050 | |
Finding sides using trigonometry
January 27th 2007, 05:30 AM #1
Finding sides using trigonometry
I've tried to do this question but I keep getting strange answers that don't 'look' right. Can someone explain how it is done please.
In a quadrilateral PQRS, PQ=10cm, QR=7cm, RS=6cm and <PQR=65 and <PSR=98. Find... | 4 | [
-0.003875732421875,
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0.0703125,
0.06689453125,
-0.028564453125,
-0.04833984375,
-0... | 18,051 | 18051 | |
Vector addition in electric field
Register to reply
by hteezy
Tags: addition, electric, field, vector
P: 10 1. The problem statement, all variables and given/known data
Two positive charges = = 2.0 a... | 5 | [
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-0.06787109375,
-0.060546875,
-0.02209472... | 18,052 | 18052 | |
Vertically oscillating rod
1. The problem statement, all variables and given/known data
Assume all oscillators are frictionless.
e) A uniform thin rod (Mass M, length Lo) oscillates vertically on a frictionless axis perpendicular to the rod and passing through one end with period To. Now, a second uniform rod is made o... | 4 | [
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0.087890625,... | 18,053 | 18053 | |
A Heuristic Scheduling Algorithm for Minimizing Makespan and Idle Time in a Nagare Cell
Advances in Mechanical Engineering
VolumeΒ 2012Β (2012), Article IDΒ 895463, 13 pages
http://dx.doi.org/10.1155/2012/895463
Research Article
A Heuristic Scheduling Algorithm for Minimizing Makespan and Idle Time in a Nagare Cell
Fac... | 4 | [
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-0.03955078125,
0.046630859375,
-0.060302... | 18,054 | 18054 | |
Taylor Series Solution
February 11th 2010, 08:20 PM #1
Taylor Series Solution
Consider the intial value problem:
$x^2y''(x) - y(x) = 1 - x$, y(1) = 1, y'(1) = -1
a) Identify the coefficients of the Taylor Polynomial of order of 4 around $x_0 = 1$ by successive differentiation of the DE. State the result... | 5 | [
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-0.02294921875,
-0.0225830078125,
-0.07861328125,
0.005645751953125,
-0.0284423828125,... | 18,055 | 18055 | |
Trigonometry on the triangle rectangle
O being the center of the circle of radius unitΓ‘io, the area of triangle ABC has the catheter in diameter AC, it: http://www.tutorbrasil.com.br/forum/...le.php?id=3338 Answer: $\frac{3\sqrt{3}}{8}$
1. Unfortunately you forgot to tell us that $|\overline{OC}|$ is half of the radiu... | 4 | [
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-0.0... | 18,056 | 18056 | |
Stirling numbers - hard proofs
May 27th 2011, 03:02 PM #1
Newbie
Joined
May 2011
Posts
12
Stirling numbers - hard proofs
I have problem with prooving those two identities. Any help would be much appriciated!
Show that:
a)
$\begin{Bmatrix} m+n+1\\ m\end{Bmatrix}= \sum_{k=0}^{m} k\begin{Bmatr... | 4 | [
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0.013916... | 18,057 | 18057 | |
Symmetric Matrix proof !
December 11th 2009, 05:27 AM #1
Newbie
Joined
Oct 2009
Posts
3
Symmetric Matrix proof !
Given that A is a n x n symmetric matrix and $\lambda_{1} \geq \lambda_{2} \geq .... \geq \lambda_{n}$ , where $\lambda_{i}$ are eigenvalues of A.
Show that:
$<br /> \lambda_{1}\|x\|^... | 4 | [
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-0.... | 18,058 | 18058 | |
Ito's Lemma
June 25th 2008, 10:41 AM
taypez
Ito's Lemma
Hello. Let me give some background.
The claim in Ito's Lemma is that dW^2 goes to dt as dt goes to zero and a partial justification is lim Q_n (n to infinity) = (b-a).
But Q_n is the same as integral (from a to b) dW^2. Letting a=0 and b=t, this b... | 4 | [
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-0.... | 18,059 | 18059 | |
Gaussian elimination help II
June 28th 2011, 02:33 PM #1
Newbie
Joined
Jun 2011
Posts
13
1.Are the vectors
(-1,3,1) and (-1,4,1) in the span of {[1,0,1],[1,2,2],[0,4,2]}?
2. Calculate AB and BA if possible. If not, explain why.
A=1 0 2 B= 0 -1 1 2
-1 -3 0 1 0 2 3
-3 -1 0 0
How w... | 5 | [
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-... | 18,060 | 18060 | |
difference of two nth powers (proof)
January 8th 2011, 03:32 PM
Bart
difference of two nth powers (proof)
$a^1 - b^1 = (a - b)$
$a^2 - b^2 = (a-b)(a+b)$
$a^3 - b^3 = (a-b)(a^2 + ab + b^2)$
$a^4 - b^4 = (a-b)(a^3 + a^2b + ab^2 + b^3)$
If you continue with increasing the exponent then you notice t... | 5 | [
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... | 18,061 | 18061 | |
Patent US4866647 - Continuously variable digital delay circuit
Publication number US4866647 A
Publication type Grant
Application number US 07/152,281
Publication date Sep 12, 1989
Filing date Feb 4, 1988
Priority date Feb 4, 1988
Fee status Paid
Also published as CA1298354C, DE68927120D... | 4 | [
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Trigonometry
I don't think you won't be able to solve this algebraicly, try a numerical approximation using a computer or (graphical) calculator.
Quote: Originally Posted by TD! It can be simplified down to $<br /> 2sin(2x)=0.9696<br />$ but since the next stage is to look up an inverse trig function the effort of sim... | 4 | [
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0.016723632812... | 18,063 | 18063 | |
IEEE floating-point arithmetic
Go to the first, previous, next, last section, table of contents.
This chapter describes functions for examining the representation of floating point numbers and controlling the floating point environment of your program. The functions described in this chapter are
declared in the header... | 5 | [
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... | 18,064 | 18064 | |
Continuous probability - conditional probability
September 30th 2009, 06:44 AM #1
Member
Joined
Mar 2009
Posts
133
Continuous probability - conditional probability
Suppose that $Y$ has density function
$f(y)=\left\{\begin{array}{cc}ky(1-y),&0\leq y\leq 1\\0, & \mbox{elsewhere}\end{array}\right.$
... | 5 | [
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-0.100... | 18,065 | 18065 | |
stokes theorem
April 20th 2010, 01:52 PM #1
Super Member
Joined
Aug 2009
Posts
639
stokes theorem
may i know what mistake have i made?
given that the vector field F(x,y,z) = < -y,x,x-2y>. use stokes theorem to compute the upward flux of curl F across z=1-x^2 -y^2 with z>0.
what i did:
curl... | 4 | [
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-... | 18,066 | 18066 | |
Mixture math problem!
December 14th 2008, 04:57 PM #1
Newbie
Joined
Dec 2008
From
Seattle
Posts
10
Mixture math problem!
Here is the problem:
Jane is asked to make a 37 milliliter solution of 12% HCL. However, only 8% and 15% HCL is available in the lab. How many milliliters of each solution sho... | 4 | [
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... | 18,067 | 18067 | |
Bounds on the Distance Energy and the Distance Estrada Index of Strongly Quotient Graphs
Journal of Applied Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 681019, 6 pages
http://dx.doi.org/10.1155/2013/681019
Research Article
Bounds on the Distance Energy and the Distance Estrada Index of Strongly Quotient Graphs
^1Depa... | 5 | [
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Physics Forums - View Single Post - Xy coordinates to polar coordinates for double integral. hepl please!
Andrew123
1. The problem statement, all variables and given/known data
ok change the region R = { (x,y) | 1 <= X^2 + y^2 <= 4 , 0 <= y <= x } to polar region and perform the double integral over region R of z=a... | 4 | [
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arrangements help
July 18th 2009, 09:32 PM #3
Junior Member
July 18th 2009, 12:30 AM #2
July 17th 2009, 11:38 PM #1
Junior Member
thanx so much for your help !
$P_n^r+rP_n^{r-1}=\frac{n!}{(n-r)!}+r\cdot\frac{n!}{(n-r+1)!}=$
$=\frac{n!(n-r+1)}{(n-r+1)!}+\frac{n!r}{(n-r+1)!}=\frac{n!(n-r+1+r)}{(n-r+1)!}... | 4 | [
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Two Suspensions to Mention
November 10th 2009, 10:10 AM #1
Junior Member
Joined
Nov 2009
Posts
54
Two Suspensions to Mention
I am to show that a continuous function, $f: X \rightarrow Y$, induces a continuous function between their respective suspensions, $\Sigma X ,\, \Sigma Y$.
Let $q:Y \times [0,... | 4 | [
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-0.029541015625,
-0.022... | 18,071 | 18071 | |
ln or log problems im confused
April 12th 2010, 11:53 PM #1
Newbie
Joined
Apr 2010
Posts
4
ln or log problems im confused
Hey guys I am new to this website and wanted some help. I would like to see the steps if possible. Thank you!
Solve for t or x. Round off 3 significant decimals
ln(t/t-2)=1
... | 4 | [
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Popular Science Monthly/Volume 12/December 1877/The Tides II
From Wikisource
Popular Science Monthly Volume 12 December 1877 (1877)
βOpen Air and Health The Tides II Modern Superstitionsβ
By Elias Schneider
... | 4 | [
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-0.014892578125,... | 18,073 | 18073 | |
Operators
5.1 Operators
You can enter more complicated units by combining units with operations such as multiplication, division, powers, addition, subtraction, and parentheses for grouping. You can use the customary
symbols for these operators when units is invoked with its default options. Additionally, units suppor... | 5 | [
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0.... | 18,074 | 18074 | |
Math Help
May 10th 2008, 05:14 PM #1
Junior Member
Joined
Mar 2008
Posts
51
polynomial
Find a polynomial of degree 3 with zeros at 5, 2, and -2 and which has a leading coefficient of -3.
Find a polynomial of degree 4 that intersects the x-axis ONLY at 2 and -3.
1)The first one is quite simple... | 4 | [
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0.03857421875,
0.0172119140625,
-0.08154296875,
-0.... | 18,075 | 18075 | |
Sphere touching two planes
April 27th 2010, 09:21 PM #1
Junior Member
Joined
Mar 2010
Posts
60
Sphere touching two planes
Given are the line l (10/0/0)+m*(-6/5/11), the Plane P:x-8=0 and the plane E z=0
sought is the Center C (which lies on l) of the sphere S which touches both E and P.
My idea: ... | 4 | [
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-0.0869... | 18,076 | 18076 | |
Uniform continuity of square root on [0,1]
November 3rd 2010, 01:41 AM #1
Newbie
Joined
Nov 2010
Posts
3
Uniform continuity of square root on [0,1]
Hi,
I'm trying to show that $f\left(x\right)=\sqrt{x}$ is uniformly continuous on $\left[0,1\right]$.
The problem is I can't use the fact it is cont... | 5 | [
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-0... | 18,077 | 18077 | |
Second Order Differential Equations.
February 1st 2011, 01:02 AM
rodders
Second Order Differential Equations.
Can someone give me a convincing explanation as to why when solving a second differential equation:
e.g y" + 3y'-4y = 3x+5
That you must ADD the CF to the PI?
- I know it works but i want to... | 4 | [
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-0.0717773437... | 18,078 | 18078 | |
(Year 10) Factoring 6th Degree Polynomial
October 1st 2008, 04:52 AM #1
Junior Member
Joined
Oct 2008
Posts
26
(Year 10) Factoring 6th Degree Polynomial
Hey everyone! I'm new here and I'd be grateful of your help.
I would like to know how to factor and find the roots/zeroes of:
$14x^6-9x^2+2$
... | 5 | [
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-0.04... | 18,079 | 18079 | |
Patent US20100020675 - Method and apparatus for ofdm based on 3d signal constellation
CROSS-REFERENCE TO RELATED PATENT APPLICATION
This application claims the benefit of Korean Patent Application No. 10-2008-0072938, filed on Jul. 25, 2008, in the Korean Intellectual Property Office, the disclosure of which is incorp... | 4 | [
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... | 18,080 | 18080 | |
series again!
January 31st 2007, 01:19 PM #1
Newbie
Joined
Jan 2007
Posts
17
Hey! I need some help again with series. I hate this topic
how would you do these problems
1. Finde the range of values for which the following series is convergent or divergent:
$\sum_{n=1}^{\infty}\frac{(n+1)}{n^3... | 4 | [
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0.... | 18,081 | 18081 | |
Line Integral
June 29th 2010, 07:48 AM #1
Newbie
Joined
May 2010
Posts
20
Line Integral
If $F(x)= (3xΒ²y, 2x-y)$, find
$<br /> \int\limits_\gamma F(x)\,dx<br />$
where $\gamma$ is the directed path from (0,0) to (1,1) along the graph of the vector equation:
$x = (\sin t, 2t/\pi), (0 \leq t ... | 5 | [
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Express as a sum of terms of the form ax^r, where r is a rational number
July 29th 2008, 11:35 AM #1
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Joined
May 2008
Posts
21
Express as a sum of terms of the form ax^r, where r is a rational number
The book lacks any explanation of how to do this or what it means.
"Express as a sum of terms ... | 4 | [
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nutritional anthropology
Contents - Previous - Next
This is the old United Nations University website. Visit the new site at http://unu.edu
Introduction
Prediction models
Preference relations
Decision-making models and optimization analysis
Input-output analysis
Stochastic process models
Conclusion
References
MIC... | 5 | [
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potential energy, how high to they end up, question
April 19th 2010, 04:00 PM #1
Senior Member
Joined
Jun 2009
Posts
251
potential energy, how high to they end up, question
Tarzan is in the path of a pack of stampeding elephants when Jane swings in on a rope vince, careing Tarzan to safety. The length of... | 5 | [
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Factorial induction problem
May 1st 2010, 09:09 AM #1
Newbie
Joined
May 2010
Posts
3
Factorial induction problem
Hello,
I'm studying Discrete mathematics and am stuck at a particular point in an assisgnment where i have to use mathematical induction to prove that
every n > 0 is true
the as... | 4 | [
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0.002395629882812... | 18,086 | 18086 | |
The Self-Balanced Shear Stresses in the Elastic Body with a Locally Curved Covered Fiber
Advances in Mechanical Engineering
VolumeΒ 2010Β (2010), Article IDΒ 954841, 14 pages
http://dx.doi.org/10.1155/2010/954841
Research Article
The Self-Balanced Shear Stresses in the Elastic Body with a Locally Curved Covered Fiber
^... | 4 | [
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... | 18,087 | 18087 | |
Another Geometric Series Question.
April 10th 2009, 12:30 PM #1
Member
Joined
Oct 2008
Posts
157
Another Geometric Series Question.
A geometric series has first term a and common ratio r. The sum of the first two terms of the geometric series is 7.2. The sum to infinity of the series is 20. Given that r ... | 4 | [
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Equation |x/2| +|y/2|=5 encloses a certain region on the
Author Message
TAGS:
Equation |x/2| +|y/2|=5 encloses a certain region on the [#permalink] 09 Sep 2007, ... | 4 | [
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Hysteresis Modeling of Magnetic Shape Memory Alloy Actuator Based on Krasnosel'skii-Pokrovskii Model
The Scientific World Journal
VolumeΒ 2013Β (2013), Article IDΒ 865176, 7 pages
http://dx.doi.org/10.1155/2013/865176
Research Article
Hysteresis Modeling of Magnetic Shape Memory Alloy Actuator Based on Krasnosel'skii-Po... | 4 | [
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... | 18,090 | 18090 | |
Divisive Gain Modulation with Dynamic Stimuli in Integrate-and-Fire Neurons
Corrections
1 Jun 2009: (2009) Correction: Divisive Gain Modulation with Dynamic Stimuli in Integrate-and-Fire Neurons. PLoS Comput Biol 5(6): 10.1371/annotation/9c4474f6-e58e-41ea-af4b-090bbb86f474. doi:
10.1371/annotation/9c4474f6-e58e-41ea-... | 4 | [
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for
βββββββββββββββββββββββββββββ¬ββββββββββββββββββββββββββ¬ββββββββββββββββββββ¬ββββββββββββββββββββββββ¬βββββββββ
β β β β β β
βββββββββββββββββββββββββββββΌββββββββββββββββββββββββββΌββββββββββββββββββββΌβββββββββββββββββββββ... | 4 | [
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Using mathematical induction...
n I'm asked to show that Ξ£ k^3 = [(n(n+1))/2]^2, βn β β k=1Can anyone help?
Hi Lindsai, P(k) $\sum_{} k^3=\left(\frac{k(k+1)}{2}\right)^2$ P(k+1) $\sum_{} (k+1)^3=\left(\frac{(k+1)(k+2)}{2}\right)^2$ Test if P(k) true causes P(k+1) true Proof If P(k) is true, then the sum of
k+1 cubes i... | 5 | [
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0.04565429687... | 18,093 | 18093 | |
Math Help
October 6th 2009, 08:55 AM #1
Poisson Proofs
Let $(N_t)$ be a Poisson process with rate $\lambda$ and $N_0 = 0$.
Prove the following:
(a) for $0 \leq u \leq t$ and $\ j = 0,1,2,...n, Pr(N_u = j | Nt_t = n) = {n \choose j} \left(\frac{u}{t}\right)^2 \left(1 - \frac{u}{t}\right)^{n-j}$
i.e.... | 5 | [
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0.08642578125,
-0... | 18,094 | 18094 | |
Partial Fractions & Binomial Theorem
June 23rd 2009, 10:39 PM #1
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Joined
May 2009
Posts
18
Partial Fractions & Binomial Theorem
Hi there, I need some help in this problem!
Expand (1+xy)^n in ascending powers of y as far as y^2, where n is not a positive integer and x is a positive real number.... | 5 | [
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integral cosine and exponential
I'm trying to solve the following integral int_0^{+infintity} 1/(1+a^2*x^2)*exp(-b^2*x^2)*cos(c*x) dx where a,b and c are real. thanks a lot Marco
yes, it is exactly that. I will use \math next time
I though it was not necessary to have $b\in N$ It is not sufficient that $b\in R$ why ... | 5 | [
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Variable Factions help
June 8th 2008, 08:20 AM #1
Variable Factions help
$\frac{2}{15x} + \frac{7}{18}$
Can someone please go through the details on how to solve this? The correct answer is $\frac{12+35x}{90x}$
Edit: Title should read variable Fractions obviously my mistake.
$15x=3\cdot 5 \cdot x$
... | 4 | [
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How did it get to that? Stretching Coulomb's law...
Register to reply
by zimo
Tags: coulomb, stretching
P: 45 1. The problem statement, all variables and given/known data
The charge is distributed wi... | 5 | [
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What value of p does the following series converge
December 19th 2012, 04:27 PM #1
Junior Member
Joined
Feb 2010
From
New Jersey
Posts
73
What value of p does the following series converge
A Theorem say the $p$-series $\sum_{n=2}^\infty \frac {1}{n^p}$ converges if $p>1$ and diverges otherwise.
... | 5 | [
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