content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Solutions to Ax^2 +By^2=(A+B)^(2n+1)
No not the trival solution but generally GCD(x,y) = 1 when GCD(A,B)=1
[tex] x = \sum_{k=0}^{n}(-A)^k*B^{n-k}*\binom{2n+1}{2k+1}[/tex]
[tex] y = \sum_{k=0}^{n}(-B)^k*A^{n-k}*\binom{2n+1}{2k+1}[/tex]
My question is was this known before?
Example A=8, B = 3, n = 1
x = 1*3*3 - 8*1*... | 5 | [
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Change of variable
P: 328 How do I evaluate the triple integral [tex]\int\int\int_G[/tex] x+y+z dV using a suitable change of variable where G is the region
0 [tex]\leq[/tex] x+y [tex]\leq[/tex] 1, 2 [tex]\leq[/tex] y+z [tex]\leq[/tex] 3, 4 [tex]\leq[/tex] x+z [tex]\leq[/tex] 5.
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Patent US4673982 - Multiple frequency adaptive noise filter for removing interference signals from a frequency band having a desired signal
BACKGROUND OF INVENTION
(a) Field of the Invention
The present invention relates to a multiple frequency adaptive filter for removing undesired periodic and/or correlated interfe... | 4 | [
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Simplicial Approach to Fractal Structures
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 958101, 21 pages
http://dx.doi.org/10.1155/2012/958101
Research Article
Simplicial Approach to Fractal Structures
Department of Mathematics, University of Salerno, Via Ponte don Melillo, 84084 Fisciano, Ital... | 4 | [
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Brevet US2134535 - Distance determining system
Oct. 25, 938 w. RUNGE 2,134,535
DISTANCE DETERMINING SYSTEM Filed March 5, 193s INVENToR W/L//ELM ,90A/6E /arvbl/ ATTORNEY Patented Oct. 25, 1938 PATENT ortica DISTANCE SYST VWilhelm Runge, Berlin, Germany,fassignorf to r
Telefunken "Gesellschaft frv Drahtlose. Tele- 'gra... | 4 | [
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Angles and Arcs
July 13th 2009, 06:54 AM #1
Newbie
Joined
Jul 2009
Posts
12
Angles and Arcs
the diamater of CIRCLE D is 18 units long find the length of each arc for the given angle measure
(ARC)LM if m<LDM=100
- (ARC)MN if m<MDN = 80
- (ARC)KL IF m<KDL=60
- (ARC)NJK if m<NDK=120
... | 4 | [
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Variance of a weighted population
rogo0034
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
Was able to get the population mean of 5.3 with 4*.2 + 5*.4 + 6*.3 + 7*.1
But for some reason i'm drawing blank for the variance (which i guess is .81)
Va... | 4 | [
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Anti-derivative problems.
January 29th 2013, 04:11 PM
Steelers72
Anti-derivative problems.
I'm stumped on these problems:
Find the anti-derivative
a) f ''(t) = 2e^t+2 sint, f(0)=0 f(pi)=0
b) f'(x) = 3/(sqrt(1-x^2)), f(1/2)=6
If someone could explain how to do it? I got stuck on the first on... | 5 | [
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Show that the equation have one real root
March 28th 2013, 08:23 AM #1
Junior Member
Joined
Aug 2012
From
The Earth
Posts
71
Thanks
1
Show that the equation have one real root
Show that the cubic equation x^3 + 3x -15 = 0 has only one real root.
Step-by-step guide is appreciated. Thanks
Re: ... | 4 | [
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Prove that a group of order 375 has a subgroup of order 15
May 13th 2010, 01:51 PM #1
Junior Member
Joined
Apr 2010
Posts
43
Prove that a group of order 375 has a subgroup of order 15
Let |G|=375. Since 5divides 375, G has a subgroup H of order 5 by Sylow's 1st theroem. BY Sylow's 3rd theroem, the number... | 5 | [
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Patent US5649079 - Computerized method using isosceles triangles for generating surface points
CROSS REFERENCE TO RELATED APPLICATION
This Application is related to commonly owned copending application Ser. No. 07/823,109 filed Jan. 22, 1992, entitled METHOD FOR DECOMPOSITION TO DEFINE FINITE ELEMENTS WITHIN A SURFACE... | 4 | [
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Simplified Transient Hot-Wire Method for Effective Thermal Conductivity Measurement in Geo Materials: Microstructure and Saturation Effect
Advances in Civil Engineering
Volume 2012 (2012), Article ID 625395, 10 pages
http://dx.doi.org/10.1155/2012/625395
Research Article
Simplified Transient Hot-Wire Method for Effec... | 4 | [
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Number of relations
September 15th 2008, 08:00 PM
jasone
Number of relations
Okay. So I really need to understand how to do this problem, because nowhere does it say anything in my text about finding the number of relations. Thanks.
Let A = {1,2,3,4,5} and B = {w,x,y,z}
How many relations that
(i) c... | 4 | [
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A sphare in a triangle
January 26th 2011, 05:02 AM
regdude
A sphare in a triangle
Hi!
Today we had a test at school and I had this interesting question ,that I didn't know how to answer.
So it was said: A sphere is touching all 3 edges of a right triangle, its edges are 9 and 12 cm long. The distance fro... | 5 | [
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Find general solution
Hi First, solve the homogeneous equation $\frac{\mathrm{d}^2y}{\mathrm{d}x^2} +4 \frac{\mathrm{d}y}{\mathrm{d}x} +3y=0$. It implies : writing the characteristic equation and finding its root. Then,
using these roots, you can deduce an expression of the solution $y_h$. Then, find a particular solut... | 4 | [
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Solving for volume of rectangular prism
November 27th 2011, 09:09 AM
benny92000
Solving for volume of rectangular prism
If a rectangular prism has faces with areas of 8, 10, and 20 units squared, then what is its volume? The answer is 40. How do I know which side length (length, width, and heighth) corresponds t... | 4 | [
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A force acts on a particle based on position, determine work. Sign question.
I have a question about this problem in relation to the way the solution manual handles it.
1. The problem statement, all variables and given/known data
A force F[x] acts on a particle of mass 1.5kg. The force is related to the position x of... | 5 | [
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Boat in Still Water
November 25th 2008, 10:18 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Boat in Still Water
Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will he... | 4 | [
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GMAT Sequences
• GMAT Prep (USA)
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•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
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□ GMAT Essay Tips & Grading from 800score
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□ Free GMAT CAT test
... | 4 | [
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Identities
September 20th 2006, 04:31 PM
dnlstffrd
Identities
For some reason, i have a problem with these, and only these.
[sin(x)+cos(2x)-1]/[cos(x)-sin(2x)]=tan(x)
and
tan(x/2)=(sin(x))/(1+cos(x)), for which I can get it to tan(x/2)=sin(x)tan(x), but don't know the identity to go further.
Septem... | 4 | [
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question about how to determine Tautologies, Contradictions & Contingent propositions
July 6th 2011, 12:21 PM #1
Junior Member
Joined
Jun 2011
Posts
66
question about how to determine Tautologies, Contradictions & Contingent propositions
Hi,
I am looking at a question here and I don't entirely know ... | 4 | [
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Proof with limits
Prove that the lim as x approaches infinity of x^n/n^k=+infinity if x>1
Lets assume that you mean x and not k as the other poster said...then you want to show that $\lim_{n\to\infty}\frac{x^n}{n^x}=\infty$ Consider that $\frac{d^{x+1}}{dn^{x+1}}\bigg[x^n\bigg]=\ln(x)^
{x+1}x^n$ and $\frac{d^{x+1}}{dn... | 5 | [
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Series problem. Cant seem to get this one.
April 17th 2008, 01:32 PM #1
Junior Member
Joined
Jan 2008
Posts
48
Series problem. Cant seem to get this one.
Thanks for any help
A ball drops from a height of 13 feet. Each time it hits the ground, it bounces up 70 percents of the height it fall. Assume i... | 4 | [
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draw curve
April 23rd 2008, 04:33 PM #1
Member
Joined
Mar 2008
Posts
88
f(0) =2;f(-2) = f(2)=0; f^1(-2) = f^1(0)=f^l(2)=0;
f^l(x)> 0 if -2 <x<0;f^1(x)<0 if x<-2 or x>0;
f^ll(x) > 0if x<-1 or 1 <x<2;
f^ll(x) < 0 if -1<x<1 or x>2
Okay this problem has got me in a wirl wind of fire. Ste... | 4 | [
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Number of paths
October 5th 2010, 12:39 AM #1
Senior Member
Joined
Apr 2009
Posts
306
Number of paths
a) Write down the adjacency matrix, F.
This part I can do. (Using the convention that loops count as 1 edge)
$F = \begin{bmatrix} 1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 \\ 1 & 1... | 5 | [
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Interpreting Limits
August 5th 2009, 08:05 AM #1
Senior Member
Joined
Nov 2008
Posts
425
Interpreting Limits
Evaluate the limit of the difference quotient. Interpret the limit as the slope of the tangent to a curve at a specific point.
lim [(2+h)^2-4]/h
h->0
my attempt:
I need help with... | 4 | [
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-0.078125,
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What is Base 2 (binary system)?
April 14th 2008, 06:48 PM #1
Newbie
Joined
Apr 2008
Posts
1
What is Base 2 (binary system)?
Hi,
I have a question about how the base 2 binary system works.
In base 2 (binary system), which equation is false?
A) 11+1=101 B)1x10=10 C)11x11=1001 D) 100/1=100 E)... | 4 | [
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-0.00775146484375,
-0.05908203125,
0.01397705078125,
-0.06298828125,
0.... | 21,626 | 21626 | |
Physics Forums - Rotation of a rectangular prism.
Fusiontron Oct27-11 10:20 AM
Rotation of a rectangular prism.
For some reason it is impossible for a rectangular prism to have pure rotation along one of its axises. For example, if you throw a hardback book in the air and try to spin it about its width then
ther... | 4 | [
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0.0393066406... | 21,627 | 21627 | |
Euler-Lagrange Equations with constraint depend on 2nd derivative?
I am reading the book of Neuenschwander about Noether's Theorem. He explains the Euler-Lagrange equations by starting with
[tex]J=\int_a^b L(t,x^\mu,\dot x^\mu) dt[/tex]
From this he derives the Euler-Lagrange equations
[tex]\frac{\partial L}{\partia... | 4 | [
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On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series
The Scientific World Journal
Volume 2013 (2013), Article ID 508026, 4 pages
http://dx.doi.org/10.1155/2013/508026
Research Article
On the Approximation of Generalized Lipschitz Function by Euler Means of Conjug... | 5 | [
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... | 21,629 | 21629 | |
A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 674567, 5 pages
http://dx.doi.org/10.1155/2013/674567
Research Article
A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications
^1Department... | 5 | [
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Limits at infinity, lim xF(x) = L then lim (f(x)=0
Proof: let f:(a,∞)→ℝ such that lim xf(x)=L where L in ℝ. Since lim xf(x) = L, there exists α>0 where |xf(x)-L| < 1 for all x > α. Therefore |f(x)|<(|L|+1)/x for x >α. Pick ε = m where there exist
δ-neighborhood V
[δ]
(c) of c and x is in A π V
[δ]
(c), there exists... | 4 | [
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Math Help
March 26th 2007, 08:20 PM #1
Newbie
Joined
Mar 2007
Posts
3
Counting
There are 3 women (A, B, C) and 3 men (D, E, F). How many ways can the 6 of them line up such that:
1.) No restrictions apply?
2.) Men and women have to alternate?
3.) First and last person in the line are wome... | 4 | [
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0.028564453125,
-0.10595703125,
-0.026... | 21,632 | 21632 | |
sketching curves, roots problem
October 24th 2010, 11:36 AM
chartsy
sketching curves, roots problem
heres the question: sketch the curve of y=4-7x-2xsqrd
i get y=4, but to get the two x roots i factorise as normal, and get the solutions x=1/2 and x=+4
however the textbook says that the second root is act... | 4 | [
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-0.0869140625,
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Parameterized Local Reduction of Decision Systems
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 857590, 14 pages
http://dx.doi.org/10.1155/2012/857590
Research Article
Parameterized Local Reduction of Decision Systems
Department of Mathematics and Physics, North China Electric Power University, Beiji... | 5 | [
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Probability and counting problems
April 16th 2008, 11:15 PM #1
Newbie
Joined
Mar 2008
Posts
6
I need help to solve these problems :
1. A dartboard is divided into 6 sections. These 6 sections is given numbers : 49, 5, 54, 28, 37, 23. What is the least number of throws needed in order to get a score o... | 5 | [
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Differential Equations Euler's method
andyk23
Find the solution y = φ(t) of the given problem and evaluate φ(t) at t = 0.1, 0.2, 0.3,
and 0.4.
1.y'=3+t-y
y = φ(t)=t-2e^-t
Where did you get this? With y= t- 2e^{-t}, y'= 1+ 2e^{-t} while 3+ t- y= 3+ t+ t- 2e^{-t}= 3+ 2t- 2e^{-t}. They are NOT the same. In any case, ... | 5 | [
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Congruence Problems
October 18th 2010, 09:36 PM
Janu42
Congruence Problems
a) Let p be an odd prime and let
a = $\prod$ (2j-1) = (1)(3)(5)....(p-2)
Prove that $a^2$ = $(-1)^{(p+1)/2}$ mod p
(Product is from j=1 to (p-1)/2)
b) Let p be a prime. Prove that
$\left(\begin{array}{cc}2p\\p\end{ar... | 4 | [
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common maths problems.
October 22nd 2006, 06:39 PM #1
common maths problems.
what is the numerical values of the x & y intercepts of straight line are the same nonzero number. What's the slope of the line?
a fraction is choosen at random from all positive unreduced proper fractions with denominators less tha... | 4 | [
0.047607421875,
0.047607421875,
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-0.006958007... | 21,638 | 21638 | |
Cauchy-Riemann equations and holomorphic functions
April 25th 2013, 04:25 AM #1
Cauchy-Riemann equations and holomorphic functions
Consider the function defined by $f(x+iy) = \sqrt(\left |x \right |\left |y \right |)$. Show that $f$ satisfies the Cauchy-Riemann equations at the origin yet it is not holomorphic at... | 5 | [
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[SOLVED] Find equations of the tangent line...
March 12th 2009, 10:43 AM
moonman
[SOLVED] Find equations of the tangent line...
Find equations of the tangent line and normal line to the given curve at the specified point.
Y = 2xe^(x) , (0,0)
March 12th 2009, 11:01 AM
Air
Quote:
A tangent line i... | 4 | [
0.022216796875,
-0.0625,
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0.036865234375,
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Patent US5995151 - Bit rate control mechanism for digital image and video data compression
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a continuation-in-part of U.S. patent application Ser. No. 08/566,100 filed Dec. 4, 1995, now U.S. Pat. No. 5,686,964.
STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH... | 4 | [
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-... | 21,641 | 21641 | |
Patente US7171604 - Method and apparatus for calculating cyclic redundancy check (CRC) on data using a programmable CRC engine
CROSS REFERENCE TO RELATED APPLICATIONS
Not applicable
Statement Regarding Federally Sponsored Research
Not applicable
Field of the Invention
The present disclosure relates generally to er... | 4 | [
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0.021850585937... | 21,642 | 21642 | |
rewriting a formula
December 4th 2007, 03:01 PM
Raven
rewriting a formula
Here's the original formula.
B = log (X/Y)
I have to rewrite it to be Y = (something). I tried to do it but I'm not real sure I did it right.
I thought I could unlog it first
10^B = X/Y
Then divide by Y to get Y on... | 4 | [
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0.11474609375,
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0.0617... | 21,643 | 21643 | |
Velocity addition expressed as gamma
granpa
if object A is moving with gamma=x in one direction and
object B is moving with gamma=y in the opposite direction then
what is the gamma factor for object A as it would be calculated by object B?
I know the velocity addition rule for relativity but I cant find anything on... | 4 | [
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0.03173828125,
0.0502... | 21,644 | 21644 | |
Quadratics further solving
November 10th 2010, 04:09 AM #1
Newbie
Joined
Nov 2010
Posts
16
Quadratics further solving
Hi Guys
Im stuck on the following question
3x^2+16x-12=0 hence solve 3(y-(7/y))^(2)+16(y-(7/y))-12=0
I can get the factors (3x-2) and (x+6) for the first one and so x=2/3 x... | 4 | [
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0.0849609375,
0.0673828125,
0.07421875,
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0.031005859375,
... | 21,645 | 21645 | |
Patent US6898326 - Image processing apparatus and method
This application is a division of application Ser. No. 08/623,536, filed Mar. 29, 1996 now U.S. Pat. No. 5,917,943.
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to an image processing apparatus and method. More particularly, the... | 4 | [
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0.06591796... | 21,646 | 21646 | |
intergral by interpreting it in terms of areas
June 28th 2010, 04:29 PM #1
intergral by interpreting it in terms of areas
I am fairly new to this so...
$\int_{-3}^0(1+\sqrt{9- x^{2}})dx<br /> \Rightarrow<br /> \int_{-3}^{0}1dx + \int_{-3}^0\sqrt{9- x^{2}}dx<br /> \Rightarrow<br /> 3 + \int_{-3}^0\sqrt{9- x^{... | 5 | [
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0.0238037109375,
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-0.023681640625,
0.02307128... | 21,647 | 21647 | |
Proving Lucas Numbers and Fibonacci Numbers
March 18th 2008, 07:10 AM #1
Junior Member
Joined
Feb 2008
Posts
48
Proving Lucas Numbers and Fibonacci Numbers
The Lucas numbers $l_{0}, l_{1}, l_{2},...,l_{n}...$ are defined on the same recurrence relation defining the Fibonacci numbers, but the Lucas number... | 4 | [
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-0.0341796875,
-0.0194091796875,
-0.04541015625,
-0.0751953125,
-0.0... | 21,648 | 21648 | |
Derivative problems
October 26th 2007, 04:03 PM
SMAlvarez
Derivative problems
I need help with the following derivative probelms. They alll need the chain rule.
1) y = x/sqrt(x^4+2)
2) g(t) = 5 cos pi(t)
3) h(x) = ln(2x^3+3)
Thanks for any and all help.
October 26th 2007, 04:18 PM
galactus
... | 5 | [
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-0.01043701171875,
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0.076171875,
-0.021484375,
-0.01177... | 21,649 | 21649 | |
Patent US20030028414 - Method for computing payment discounts to achieve budget-balance in exchanges
FIELD OF THE INVENTION
[0001] This invention relates to methods for determining payments made to and received by winning agents in exchanges, in particular, to methods that determine payments so as to induce agents to
... | 4 | [
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0.0023193359375,
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-0.003143310546875,
0.023193359375,
0.05810... | 21,650 | 21650 | |
Math Help
December 18th 2006, 02:16 PM #1
Newbie
Joined
Dec 2006
Posts
3
maximum area
The crawleys hallway has 300ft² of wall space. They recived an estimate of $1.40/ft² to paint a wall and 60˘/ft² to wallpaper a wall. With $324 to spend, what is the maximum area they can have
painted if the rest h... | 4 | [
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0.068359375,
0.0262451171875,
0.07373046875,
-0.004974365234375... | 21,651 | 21651 | |
Limit of hyperbolic cosine(1/x)
terminator88
1. The problem statement, all variables and given/known data
Limit of x^2cosh(1/x) as x approaches 0
2. Relevant equations
3. The attempt at a solution
I did some algebra,made into the form infinity over infinity and used hopital's rule. I got limit x^2e^(1/x).
Then ... | 4 | [
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... | 21,652 | 21652 | |
Automorphisms over a quotient group of GLn\SLn over Z7
August 18th 2010, 01:41 AM #1
Member
Joined
Jul 2009
Posts
168
Automorphisms over a quotient group of GLn\SLn over Z7
I have a problem that I have no idea how to begin solving. I need to describe the following group using an 'action table' (when the ... | 4 | [
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0.0096435546875,
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-0.0291748046875,
-0.0006790... | 21,653 | 21653 | |
Engineering Mechanics: Statics
Engineering Mechanics: Statics (13e) : 9780132915540
Engineering Mechanics: Statics (13e)
Published by
Pearson Higher Ed USA
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Description
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Word Problem Help
December 8th 2010, 08:20 PM #1
Newbie
Joined
Dec 2010
Posts
6
Word Problem Help
I need help with this stupid word problem. I'm at my girlfriend house and I left my book at home.
A stream flows at a rate of 4 mph. A boat travels 70 miles downstream and returns in a total time of 6 h... | 4 | [
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Math Help
January 27th 2010, 03:12 AM #1
Junior Member
Joined
Aug 2007
Posts
37
Functions
Hi all!
Just having a little problem with the following:
Functions f and g are defined as follows
$<br /> f(x) = 2x + 3, x\epsilon\Re$ and $g(x) = \frac{1}{x-1}, x\epsilon\Re$, $x$ [does not equal... | 4 | [
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Velocities of Nucleons
Assume the nuclear matter (protons and neutrons as indistinguishable) forms a degenerate fermi gas. The fermi momentum is determined by:
[tex]
A = 2 \, \frac{4 \pi R^{3}}{3} \, \frac{4 \pi k^{3}_{F}} {3} \, \frac{1}{(2\pi)^{3}} = \frac{4}{9
\pi} (k_{F} R)^{3} \Rightarrow R = \left(\frac{9\pi}{4... | 5 | [
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Tangent plane and normal line..
May 13th 2008, 12:03 AM
taurus
Tangent plane and normal line..
I got 2 questions that I am finding problems with, would someone help me please?
(1) Fine equation of the tangent plane
(2) Find equation of normal line to the surface
represented by the equation:
x-z... | 5 | [
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[Haskell-cafe] Re: Function to detect duplicates
Ketil Malde ketil at malde.org
Fri Feb 26 10:50:42 EST 2010
| Am Freitag 26 Februar 2010 00:57:48 schrieb Rafael Gustavo da Cunha Pereira
| Pinto:
|
|> There is a single 10 digit number that:
|>
|> 1) uses all ten digits [0..9], with no repetitions
|> 2) the number fo... | 4 | [
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0.07519531... | 21,659 | 21659 | |
Vector question
October 24th 2009, 08:11 AM #1
Newbie
Joined
Oct 2009
Posts
22
Vector question
3. Use cross product to find the sine of the angle between the vectors
u (2, 3, -6)
v (2, 3, 6)
Last edited by daphnewoon; October 24th 2009 at 09:11 AM.
Hello, daphnewoon!
1. Giiven th... | 4 | [
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[SOLVED] Linear and Angular Velocity. Very Urgent! Help
August 29th 2008, 02:03 AM #1
Newbie
Joined
Aug 2008
Posts
9
[SOLVED] Linear and Angular Velocity. Very Urgent! Help
The wheel of the truck is turning at 4.5 rpm. The wheel is 0.8 m in diameter.
a. Find the angular velocity of the wheel in rad ... | 4 | [
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0.038330... | 21,661 | 21661 | |
Question 12
December 25th 2006, 11:31 PM #1
Grand Panjandrum
Joined
Nov 2005
From
someplace
Posts
14,972
Thanks
4
Question 12
Water leaves a tap (faucet) in a steady stream at a speed of 20 cm/s
which is 1 cm wide.
How wide is the stream 30 cm below the tap (assuming that the stream
... | 5 | [
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prov trig indentity
January 12th 2010, 12:30 PM
Tweety
prov trig indentity
prove that $cos4x = 8cos^{4}x - 8cos^{2}x - 1$
I have tried for quite a while, but am completely stuck now.
Can anyone have ago?
Thanks.
January 12th 2010, 12:50 PM
pickslides
Quote:
You should use the identity... | 4 | [
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findind the image and kernel of a transformation..
June 24th 2011, 05:58 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
findind the image and kernel of a transformation..
$T:R_{3}[x]->R_{3}[x]$ is lenear transformation given by $A=(\begin{array}{ccc}<br /> 4 & 2 & 0\\<br /> 2 & 3 & 2\\<br /> 0 & 2 & 2... | 5 | [
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Cumulative Interest or Inflation, Multiplying Every Value in a Column, Why Don’t We Have PRODUCTX?
Given the First Two Columns at Left, How Do We Calculate the Two Columns at Right?
(It’s 1... | 5 | [
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Prove that this set is open, hopefully just need help with the inequalities
September 9th 2012, 02:59 PM #1
Newbie
Joined
Sep 2012
From
Leeds, UK
Posts
1
Prove that this set is open, hopefully just need help with the inequalities
Hi, I've been stuck on this problem for a while now and I'm scared it's... | 5 | [
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limit as x -> infinity?
November 28th 2011, 04:38 PM #1
Member
Joined
Sep 2009
Posts
162
limit as x -> infinity?
How does one show that the limit as x approaches ∞ $x^2 sin \frac {1}{x}$ is equal to ∞ mathematically? My solution book claims it is just the limit as h approaches zero from the right $\frac ... | 5 | [
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Relative-Velocity Distributions for Two Effusive Atomic Beams in Counterpropagating and Crossed-Beam Geometries
Advances in Mathematical Physics
Volume 2012 (2012), Article ID 906414, 18 pages
http://dx.doi.org/10.1155/2012/906414
Research Article
Relative-Velocity Distributions for Two Effusive Atomic Beams in Count... | 4 | [
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Trigonometry Problem: Possibly Using the Ratios
April 4th 2010, 02:07 AM #1
Member
Joined
Jan 2009
Posts
98
Trigonometry Problem: Possibly Using the Ratios
Hello. I am back with another trigonometry question. Any help with the following problem would be greatly appreciated.
A stepladder stands on a ... | 4 | [
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PDE cauchy question
hunt_mat
You can use the method of characteristics to get a set of ODEs
[tex]
\dot{x}=e^{-x}, \quad\dot{y}=\frac{1}{y^{2}}, \quad\dot{z}=e^{x}y
[/tex]
You have to think about some initial conditions for this, can you suggest something?
Thanks, didn't think to solve it parametrically although the... | 5 | [
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-... | 21,670 | 21670 | |
Solving Equations..please Help!
March 18th 2008, 08:12 AM #1
Newbie
Joined
Feb 2008
Posts
9
Solving Equations..please Help!
Hi, I have the following equations that I am really confused on..just wondering if someone can help me out with them..thanks!
1) 2e^7x+2=6
2) 1n (3x-4) + 1n (x-3)-1n 4=0
... | 4 | [
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probability problem about the probability that Team A will win this game
January 19th 2011, 07:36 PM #1
Newbie
Joined
Jan 2011
Posts
7
Hi,
A very simple prob question. Hope sb could help:
Two basketball teams: team A makes it shots 48% of the time and team B makes its shots 52% of the time. The ... | 5 | [
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limit with composite function
January 13th 2012, 11:31 PM
jacks
limit with composite function
If $\displaystyle f(x) = \frac{1}{1+x}$ and $g(x) = \underbrace{f(f(f(x)))}_{n-times}$. Then $\displaystyle \lim_{n\rightarrow \infty}g(x) =$
My Solution::
$f(x) = \frac{1}{x+1}$ Then
$f(f(x)) = \frac{x+1... | 5 | [
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... | 21,673 | 21673 | |
Patent US4890062 - Automatic impedance adjuster for MRI system
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an automatic impedance adjuster for adjusting an impedance of a probe head for transmitting/receiving a high-frequency (normally a radio-frequency (RF)) signal to be
eq... | 4 | [
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-0.052... | 21,674 | 21674 | |
Patente US5073867 - Digital neural network processing elements
CROSS REFERENCES TO RELATED APPLICATIONS
This application is a continuation-in-part of U.S. Ser. No. 07/364,475 filed Jun. 12, 1989 and entitled Probabilistic Reasoning System, and is related to U.S. application entitled Probabilistic
Reasoning System With... | 4 | [
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0.028... | 21,675 | 21675 | |
Linear combination is also in the span
September 27th 2012, 02:34 PM
sfspitfire23
Linear combination is also in the span
Suppose that vectors x and y are both in the linear span of the
vectors r1, r2, r3. Show that any linear combination of x and y is also
in the linear span of r1, r2, r3.
What I ha... | 4 | [
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0.072265625... | 21,676 | 21676 | |
Binomial Expansion
December 14th 2013, 06:04 AM #1
Binomial Expansion
$C{_0}^{2}+C{_1}^{2}+C{_2}^{2}+...............+C{_0 }^{2}=\frac{2n!}{n!^2}$
$C{_0}^{2} - C{_1}^{2}+C{_2}^{2} - C{_3}^{2}+..........+(-1)C{_n}^{n}=\frac{(-1)^{\frac{n}{2}}n!}{n/2)!^2}$---->>> (n even number)
=0 -------------------------... | 5 | [
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... | 21,677 | 21677 | |
Evaluate the Impact of Cold Wave on Face Slab Cracking Using Fuzzy Finite Element Method
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 820267, 11 pages
http://dx.doi.org/10.1155/2013/820267
Research Article
Evaluate the Impact of Cold Wave on Face Slab Cracking Using Fuzzy Finite Element Method
... | 4 | [
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Find the radius
December 29th 2006, 10:27 PM #1
Member
Joined
Nov 2006
Posts
123
question
A bowling ball of radius R is placed inside a box just large enough to hold it, and it is secured for shipping by a Styroform sphere into each corner of the box. Find the radius of the largest
Styrofoam sphe... | 5 | [
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IntroductionLoosely Coupled GPS/INS IntegrationLoosely Coupled and INS EquationsLoosely Coupled Kalman FilterResultsLoosely Coupled Integration Using ConstraintsPerformance AssessmentResultsLoosely Coupled & GPS OutagesConclusionsReferencesFigures and Tables
LC integration combines estimates from GPS and INS outputs, a... | 4 | [
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... | 21,680 | 21680 | |
inverse trig integration
July 10th 2009, 03:56 PM
slaypullingcat
inverse trig integration
find the integral of dx/sqrt(1-4x^2). I know I should be using sin^-1 indentity when integrating but my problem is making the the coefficient of x equal to 1. I'm doing something wrong with the
algebra. Can someone plea... | 5 | [
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all possible angles of a trig ratio
is there a methodical way to find all the possible angles of a given trig ratio?
anything non-graphic? i just mean suggestions, like 'this law should be used first and then you can jump to this one bcos it gives an egative angle which can then be passed through this law which
gives ... | 4 | [
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A simple problem of convergence...
April 1st 2010, 03:00 PM #1
A simple problem of convergence...
...But I can't get it
We have a sequence of iid nonnegative rv's $(X_n)_{n\in\mathbb{N}}$
Assuming that $E[X_1]$ is finite, we have by the sLLN that $\frac{X_1+\dots+X_n}{n}$ converges to a finite limit.
... | 5 | [
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Patent US4909631 - Method for film thickness and refractive index determination
FIELD OF THE INVENTION
This invention relates to determination of the thickness of a film of at least partially transparent material by use of thin film interference techniques.
BACKGROUND OF THE INVENTION
Measurement of the (unknown) th... | 4 | [
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... | 21,684 | 21684 | |
Calculus problem
February 24th 2009, 06:25 AM #1
Newbie
Joined
Feb 2009
Posts
2
Calculus problem
I am not sure if I am on the right track with this problem and where do i go from here. Please help.
Problem: y=4x^2(7x^2+8)^(-2/3) find dy/dx. This is my solution so far:
-8x^2(14x/3(7x^2+8)^(5/... | 5 | [
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... | 21,685 | 21685 | |
Ideals and polynomial rings
A basis of an ideal is a set of polynomials that "generate" the ideal; that is, if f1, .., fs is a basis for I, then each f in I can be written as h1f1 + h2f2 + ... + hsfs. A basis "spans" an ideal
in a similar sense to how a linear basis spans a vector space.
Every ideal of a polynomial ri... | 4 | [
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0.015869140625... | 21,686 | 21686 | |
The angle of a curve
No, this is not going to have any simple answer like '60' or '70'. The angles will depend both on the length of ab and the radius of the circle.
I am going to assume ab is less than the diameter of the circle. In particular, drawing lines from a and b to the center of the circle, call it O, gives... | 4 | [
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extension fields question
January 20th 2013, 07:36 AM
arlingtonbassett
extension fields question
Problem: If F is algebraic over K and D is an integral domain such that $K\subset D\subset F$, then D is a field.
Sketch of Proof: We want to show every element of D is a unit. Let u in D. Since F is a field, u^... | 5 | [
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Exponential Growth and Decay
April 8th 2007, 07:34 PM #1
Newbie
Joined
Apr 2007
Posts
14
Exponential Growth and Decay
I'm having some trouble with the following problems:
1) Radioactive decay problem: What percent of a present amount of radioactive radium (226Ra) will remain after 900 years? (Half-l... | 5 | [
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Limit problem
October 30th 2012, 03:21 AM #1
Newbie
Joined
Oct 2012
From
Europe
Posts
12
Limit problem
Find lim[x->inf] (x-sin(sinx)) / (x-sinx)
The followup is to find the limit when x -> 0 for the same expression.
I think this problem is related to the Taylor series chapter, I don't know ... | 5 | [
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Michelson Interferometer
The Michelson Interferometer
Back in the early days, the only waves that people could observe were those travelling in some sort of medium. For example, the waves in a river or the ocean were seen travelling i... | 4 | [
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Fourier Sine Integral (Complex Analysis)
December 7th 2009, 10:13 AM #1
Fourier Sine Integral (Complex Analysis)
This question is similar to another one I've posted
Show:
$\int_{-\infty}^{\infty} \frac{\sin{x}}{x^2+4x+5} = \frac{-\pi\sin{2}}{e}$
so I let $f(z) = \frac{\sin{z}}{z^2+4z+5}$
And I u... | 5 | [
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Existence and Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem with Oblateness
Advances in Mathematical Physics
Volume 2012 (2012), Article ID 679063, 18 pages
http://dx.doi.org/10.1155/2012/679063
Research Article
Existence and Linear Stability of Equilibrium Points in the Robe’s Re... | 4 | [
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Basic rearranging
April 7th 2010, 01:35 AM #1
Newbie
Joined
Apr 2010
Posts
6
Basic rearranging
I am currently solving questions preparing for my mechanics exam and I am struggling with the final part of the question I have the following equation
y-yo=Vo*sin(beta)*x^2/Vo*cos(beta)-1/2*g*x^2/Vo^2cos^2... | 4 | [
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Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field
The Scientific World Journal
Volume 2013 (2013), Article ID 807462, 7 pages
http://dx.doi.org/10.1155/2013/807462
Research Article
Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electr... | 5 | [
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Inverse Trig Functions
September 20th 2009, 12:49 PM #1
Newbie
Joined
Sep 2009
Posts
3
Inverse Trig Functions
I'm having trouble understanding this:
tan[arc cos (square root of 3 / 2) = square root of 3 / 3
How does this answer come to be?
This question is saying what is the Tangent of the a... | 4 | [
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simplifying sin and cos
November 4th 2007, 11:47 PM #1
Newbie
Joined
Sep 2007
Posts
9
simplifying sin and cos
i really need help in solving these, including steps.. help would be appreciated..
show that.. sina/(1+cosa) + (1+cosa)/sina = 2/sina
thankyou guys
start with:
$\frac{sin(a)}{... | 4 | [
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Patent US4544919 - Method of processing a digitized electrical signal
CROSS REFERENCE TO RELATED APPLICATIONS
This application is a continuing application and specifically a continuation-in-part patent application based on a U.S. patent application of the same title, Ser. No. 06/454/929, filed Jan. 3, 1982.
BACKGROUN... | 4 | [
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... | 21,698 | 21698 | |
Variance of the population variance.
Xi's are iid with ~N(μ,σ^2). I am given the population variance. How do you derive this (the variance part)? Thanks.
The very easy way is to know that the random variable $\frac{(n-1)S^2}{\sigma^2}$ has a $\chi^2$ distribution with (n-1) degrees of freedom. Therefore: $Var \left( \... | 5 | [
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