content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Field Theory - Algebraic Extensions - D&F Section 13.2 - Example 2 - page 526
September 27th 2013, 08:37 PM #1
Field Theory - Algebraic Extensions - D&F Section 13.2 - Example 2 - page 526
I am reading Dummit and Foote on algebraic extensions. I am having some issues understanding Example 2 on page 526 - see att... | 5 | [
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0.047607421875,
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-... | 20,700 | 20700 | |
partial fraction decompositions
January 27th 2008, 11:56 AM
jmaillou
partial fraction decompositions
So I have an assignment, and we are supposed to integrate using partial fraction decompositions. The integral is:
(x^2 + 53)/(x^3 + x^2)
What I have so far is:
A/(x) + (Bx+C)/(x^2) + D/(x +1)
T... | 4 | [
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0.0012664794921875,
0.0009040832519531... | 20,701 | 20701 | |
What is the largest area of an isoceles triangle with
What is the largest area of an isosceles triangle with the perimeter 1 cm?
Hello, I find $\color{red}\frac{\sqrt{3}}{36}$ cm. I give my solution after diner.
Hi Let a be the equal length of 2 sides and b the length of the 3rd side. The perimeter is p = 1 = 2a+b Th... | 5 | [
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-0.0234... | 20,702 | 20702 | |
Inequalities
how do i solve: 1) 4 - x ---------- < 0 (x-3)(x+2)
bigstarz There are three critical points here, x = 4, 3, -2. (Critical points are found where the numerator or denominator are zero.) So the equation is possibly true for the following intervals:
(-inf, -2), (-2, 3), (3, 4), and (4, inf). Check each of th... | 4 | [
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A Linear Transformation question
November 7th 2010, 07:33 AM
jayshizwiz
A Linear Transformation question
give an example of a linear transformation $\, T:R^2 \rightarrow R^2$ where $T^2=T$ and $0,1$ are the eigenvalues.
Attempt:
$<br /> T(x,y) = (x,0)$
$*T(T(x,y) = T(x,0) = (x,0)$
$*T(x,y) = (x... | 4 | [
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An operation * has 2 possible identity element:which one's the real identity element?
August 24th 2012, 02:32 PM #1
An operation * has 2 possible identity element:which one's the real identity element?
The rule to find identity element is laid out on Pinter's Abstract Algebra book like this on page 24:
"Fir... | 5 | [
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systems of equations in three variables.
December 16th 2010, 04:13 PM #1
Junior Member
Joined
Mar 2010
Posts
49
systems of equations in three variables.
I have a question here that I have only partially worked.
Question:
3c+4y+z=7
2y+z=3
-5+3y+8z=-31
Working:
Z=3-2y, given becau... | 4 | [
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Help please
Originally posted by bjon-07
[B]In both problems i am need to find the derivative of the function,(we just learned the chain rule, so i am 'supposed to' use that to figure them out. But if you know a another way, great.
problem one
y=te^(-t^2) i normally know how to solve this problems but the t before th... | 5 | [
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Need Help with problems
February 25th 2010, 10:00 PM #1
Newbie
Joined
Feb 2010
Posts
2
Need Help with problems
I missed class and I am totally lost with these problems. What we have to do is find all real zeros of the function algebraically. My teacher had this equation up on the board but I can;t find i... | 4 | [
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0.00166320800781... | 20,708 | 20708 | |
Limit derivative questions
June 9th 2011, 08:44 PM #1
Banned
Joined
May 2011
Posts
52
Limit derivative questions
Use L'opital to find the following limit:
$\lim_{x \to \0}\frac{log(1+x)-x}{cos(2x)-1}$
Second Q (unrelated):
Use the definition of a derivative (which I know) to show that cos x... | 5 | [
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cuspidal types and Iwahori subgroup for $SL(2,F)$
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $(J,\pi)$ be a cuspidal type in $SL(2,F)$, $F$ is a non-Arch. local field and let $I$ be the Iwahori subgroup of $SL(2... | 4 | [
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Parallel and perpendicular lines?
Write an equation of the line through the point that is parallel to the given line and perpendicular.
Point (7/8,3/4) line 5x+3y=0
which I turned into y=-5/3x
Then I plug into
(y-3/4)= -5/3(x-7/8) This is for parallel
3(3/4)=-5(x-7/8) Did I set this up cor... | 4 | [
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0.00283813... | 20,711 | 20711 | |
Center of mass
November 19th 2009, 07:31 PM #1
Newbie
Joined
Sep 2009
Posts
9
Center of mass
Find the center of mass of the thin semicircular region of consant density,sigma=4 bounded by the x-axis and the curve y=(121-x^2)^1/2
The center of mass is simply finding the the mass of the object = densit... | 5 | [
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Porperty of B-spline
May 3rd 2010, 08:02 PM #1
Member
Joined
Feb 2010
Posts
133
Porperty of B-spline
Hello,
Assuming that a B-spline $N_{m}$ is defined for some $m \in \mathbb{N}$ then the B-spline $N_{m+1}$ is defined by:
$N_{m+1}(x)=\int_{0}^{1}N_{m}(x-t))dt$
How can I, through induction... | 5 | [
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Deflections - Method of Virtual Work - Vertical Deflection by Cantilever Method
Deflections - Method of Virtual Work
Vertical Deflection of a Beam - Cantilever
The following example utilizes the cantilever method to determine the "real" and virtual moment diagrams used in the calculation of deflections of a beam.
Not... | 5 | [
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Grout Calculator
Grout Calculator: Cubic Inches, Cubic Feet, Gallons
The volume of grout needed to fill the space between tiles depends on the total size of the tiled area, tile size, space between the tiles, and depth of the grout. If you know the values of these
project parameters, you can accurately estimate the cu... | 4 | [
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Patent US5550870 - Viterbi processor
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is related to the following previously filed, applications, each of which is incorporated herein by reference:
application Ser. No. 08/153334, entitled "Efficient Utilization of Present State/Next State Registers", filed Nov... | 4 | [
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trunomial
May 2nd 2007, 07:40 AM
Mr_Green
trunomial
Given x^3 - 10x^2 + ax + b = 0 and two if its roots are 5 and 2, find a and b.
May 2nd 2007, 08:06 AM
CaptainBlack
Quote:
Let the thrird root be u, then:
(x-u)(x-5)(x-2) = x^3 - x^2 (u + 7) + x (7u + 10) - 10u
but this is equal to x^3 - 1... | 4 | [
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Sylow p-subgroups
Show that a Sylow p-subgroup of the dihedral group is cyclic and normal for every odd prime.
Let $p$ be an odd prime, $D_{p}$ the dihedral group with $2p$ elements and $e$ its identity element. A $p$-Sylow in $D_{p}$ has an order of $p$, so it is cyclic: indeed, the order of an element of
such a $p$-... | 5 | [
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0.0... | 20,718 | 20718 | |
another one of Joint Probability density of X and Y
September 23rd 2006, 05:28 PM
Judi
another one of Joint Probability density of X and Y
If the independent random variables X and Y have the mariginal densities
f(x)= 0.5 for 0<x<2 and zero elsewhere
g(y)=1/3 for 0<y<3 and zero elsewhere
find the ... | 5 | [
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God Plays Dice
From
360
:
Shinju
, a geometrical game. You're given an arrangement of shells in some of the squares of a square grid. One of the shells hides a pearl. Your goal is to find it, opening at most four shells. When you
open a shell, it either contains the pearl, or a number. That number is the distance t... | 5 | [
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-0.... | 20,720 | 20720 | |
Trigonometric limits - question involving tan.
October 6th 2009, 11:50 AM #1
Member
Joined
Sep 2009
Posts
83
Trigonometric limits - question involving tan.
I am having trouble answering this question:
"Using $tanx = \frac{sinx}{cosx}$ evaluate *limit as x approaches 0* $\frac{tanx - sinx}{xcosx}$"
... | 5 | [
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0.00... | 20,721 | 20721 | |
integration with factorials
January 14th 2009, 04:43 PM
razorfever
integration with factorials
im having a lot of trouble showing that the
definite integral from 0 to 1 (ln x)^n dx = n!(-1)^n
if someone could help get me started cause i have no idea how to get the factorial in the answer ... all i get i... | 5 | [
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... | 20,722 | 20722 | |
An Interplay between Gabor and Wilson Frames
Journal of Function Spaces and Applications
VolumeΒ 2013Β (2013), Article IDΒ 610917, 6 pages
http://dx.doi.org/10.1155/2013/610917
Research Article
An Interplay between Gabor and Wilson Frames
^1Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 0... | 4 | [
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Fun With Fundamentals: Problem 215
PROBLEM 215 -- Might makes right, as this month's problem by Mike Williams of Waynesboro, Va., demonstrates.
"We're sorry about your pasture, but as you know, the road must go through," stated the official from the State Bureau of Transportation. "You'll receive the usual compensatio... | 4 | [
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0.007415771... | 20,724 | 20724 | |
Thermodynamics: DT/DV at constant entropy? (last maxwell relation I haven't figured)
So, until now I know:
(DV/DS)p=(DT/Dp)s=a*T/cp*(rho) (enthalpy)
(Dp/DT)v=(DS/DV)t=-a/k (helmoltz)
(DS/Dp)t=-(DV/DT)p=-Va (gibbs)
a=expansion coefficient
k=isothermal compression coefficent
cp=heat capacity at constante pressure
I wan... | 4 | [
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... | 20,725 | 20725 | |
Local minimum and maximum and saddle points problem
January 28th 2009, 02:38 AM #1
Junior Member
Joined
Aug 2008
Posts
35
I'm wondering that I did this problem correct, or not.
Find the local maximum and minimum values and saddle point(s) of the function $f(x,y) = 1+2xy-x^2-y^2$
$abla f = 0$
... | 5 | [
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0.036865234375,
-0.... | 20,726 | 20726 | |
Uniform distribution on a circle
October 23rd 2010, 03:59 PM
uberbandgeek6
Uniform distribution on a circle
Suppose that (X, Y ) is uniformly distributed on a circle with center at the origin and radius. What is P(3X + Y > 1)?
Hint: Sketch the region over which you must integrate. Also, an antiderivative of ... | 5 | [
-0.0291748046875,
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-0.0198974609375... | 20,727 | 20727 | |
[SOLVED] Complex Trig proof
September 18th 2008, 08:43 AM #1
Newbie
Joined
Sep 2008
From
Halifax, Nova Scotia
Posts
19
[SOLVED] Complex Trig proof
*This is exactly how the question reads from the book
Using the fact that a complex equation is really two real equations, find the double angle form... | 5 | [
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0.0264892578125,
0.0625,
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0.035888671875,... | 20,728 | 20728 | |
Find the period of Cosine of Quadratic function
March 19th 2011, 07:03 PM #1
Newbie
Joined
Mar 2011
Posts
3
Find the period of Cosine of Quadratic function
Hi all,
Hope some here can help me with this math problem.
Given,
y1 = ax^2 + b.
y2 = cos (y1).
where a and b are constants. Is... | 4 | [
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0.0079345703125,
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0.140625,
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0.08251953125,
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-0.052978515625,
-0.033... | 20,729 | 20729 | |
Patent US7089252 - System and method for rapid computation of PageRank
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention generally relates to the analysis of data on the worldwide web (Internet) and in particular to a web-scale analysis of structured data.
2. Brief Description of Related De... | 4 | [
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0.01214599609375,
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0.15234375,
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0.004547119140625,
0.0... | 20,730 | 20730 | |
Brevet US5305432 - Line segment depicting system for a display image memory
BACKGROUND OF THE INVENTION
1. Field of the invention
The present invention relates to a digital image processing system, and more specifically to a system for depicting a line segment on a display image memory.
2. Description of related art... | 4 | [
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0.04443359375,
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Estimate molarity from enthalpy, gibbs energy and entropy of formation
Ok. The chemical equation I set before was wrong. I wrote it hurried, because of christmass I had to dinner with my family and all that stuff.
Here is the correct chemical equation as I think it should be:
##Sr(IO_3)_2(s) \rightleftharpoons Sr^{2+}... | 5 | [
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-0.01... | 20,732 | 20732 | |
how to show dense in Finite complement topology
April 15th 2009, 07:09 PM #1
Banned
how to show dense in Finite complement topology
Last edited by Jhevon; April 26th 2009 at 12:59 PM. Reason: restored post
Hello,
U is an open set in this topology. Let's assume that U is not the empty set.
Hence $\ma... | 4 | [
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0.01251220703125,
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0.05126953125,
-0.0810546875,
0.02636... | 20,733 | 20733 | |
On the Smallest and Largest Zeros of MΓΌntz-Legendre Polynomials
http://dx.doi.org/10.4153/CMB-2011-135-9
Canad. Math. Bull. 56(2013), 194-202
Published:2011-06-29
Printed: Mar 2013
β’ Γlfar F. StefΓ‘nsson,
MΓΌntz-Legendre polynomials $L_n(\Lambda;x)$ associated with a sequence $\Lambda=\{\lambda_k\}$ are obtained by ... | 4 | [
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-0.031982421875,
-0.0... | 20,734 | 20734 | |
Conditional Probability/Restrictions
October 20th 2013, 09:36 AM #1
Newbie
Joined
Sep 2013
From
U.S.A.
Posts
8
Conditional Probability/Restrictions
I'm looking to get some insight into a moderately challenging conditional probability problem:
Consider a sequence of random variables $X_1$, $X_2$... | 5 | [
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0.033447265625,
... | 20,735 | 20735 | |
Linear Equation Q3
March 6th 2009, 12:48 AM #1
Member
Joined
Jan 2009
Posts
197
Linear Equation Q3
Question
$\frac{3x^2+4}{x^3+8}=\frac{3}{x+2}$
Attempt:
$3x^3+6x^2+4x+8=3x^3+24$
Final answer I got is 2
Please check my answer because i think it is wrong
Thank you
$3x^3+6x... | 4 | [
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0.04541015625,
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-0.02... | 20,736 | 20736 | |
[SOLVED] Hyperbola 3
April 16th 2010, 05:06 PM
UltraGirl
[SOLVED] Hyperbola 3
Hello.
Prove that the locus of midpoints of parallel chords of xy = c^2 is a diameter.
Is anyone able to give me some hints on how to do this question?
April 17th 2010, 10:23 AM
Grandad
Hello UltraGirl
Quote:
... | 4 | [
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Trig Identites
January 5th 2008, 08:13 AM #1
Member
Joined
Dec 2007
From
Georgia
Posts
85
Trig Identites
Hey guys.
In the following problem, I'm supposed to perform the addition and then use the fundamental identities to simplify.
Also please be loose on the format of the problem. I'm not v... | 4 | [
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0.017578125,
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-0.024169921875,
0.004180908203125... | 20,738 | 20738 | |
I couldn't solve for a
June 28th 2007, 08:33 PM #1
Newbie
Joined
Jun 2007
Posts
20
I couldn't solve for a
When
$a - \frac{1}{a} = 2$
then
$a^3 - 2a^2 - \frac{2}{a^2} - \frac{1}{a^3} = ?$
The answer is $2$
I tried making a trinomial with $a - \frac{1}{a} = 2$ and I got $a^2 - 2a - 1$... | 4 | [
-0.03759765625,
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0.0267333984375,
0.0096435546875,
-0.02307128906... | 20,739 | 20739 | |
Partial Differentiation Q
December 18th 2007, 07:01 AM #1
Newbie
Joined
Oct 2007
Posts
19
Ok here goes....
$<br /> z=x^{2}+y^{2}$
$x=rcos\vartheta$
$y=r sin\vartheta$
Find:
$\frac{\partial z}{\partial x}_{y},<br /> \frac{\partial z}{\partial \vartheta}_{x}, <br /> \frac{\partial z... | 5 | [
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0.0380859375,
0.11181640625,
0.076171875,
0.0189208984375,
-0.0732421875,
0.009399... | 20,740 | 20740 | |
Backshift operators
December 13th 2010, 04:14 PM #1
Member
Joined
Feb 2010
Posts
147
Backshift operators
Hi All, I have a question about using a back shift operator.
The Back shift operator B, is defined such that:
$B^{-1} E_t(X_t) = E_t(X_{t+1})$
where $E_t$ is defined as the expectation ... | 5 | [
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0.099609375,
0.002838134765625,
0.0291748046875... | 20,741 | 20741 | |
chebyshev's inequality problem
September 13th 2008, 05:28 PM #1
Newbie
Joined
Sep 2008
Posts
2
How can I use Chebyshev's Inequality to show that P[0 < X < 3] >= 0.75?
note: X ~ Exp (lamba = 1)
and does the Cheby. inequality improve as k --> infinity?
it's a little confusing. can someone help... | 5 | [
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0.08544921875,
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Dominant Mode Wave Impedance of Regular Polygonal Waveguides
International Journal of Microwave Science and Technology
VolumeΒ 2014Β (2014), Article IDΒ 485794, 4 pages
http://dx.doi.org/10.1155/2014/485794
Research Article
Dominant Mode Wave Impedance of Regular Polygonal Waveguides
Institute of Electronic and Mechani... | 4 | [
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Patent US5983106 - Method and apparatus for minimizing the number of samples needed to determine cell radius coverage contour reliability in a radiotelephone system
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to wireless communications and in particular to cellular te... | 4 | [
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0.06494140625,
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-... | 20,744 | 20744 | |
Patent US6714690 - Image processing device having matrix computing units
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an image processing device such as a geometry processor having matrix computing units, and more particularly to an image processing device in which the matrix... | 4 | [
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... | 20,745 | 20745 | |
Cube. Coloring. Isomorphism.
April 29th 2013, 03:07 PM #1
Junior Member
Joined
Oct 2012
From
USA
Posts
37
Cube. Coloring. Isomorphism.
Let $G$ be a group of rigid motions of cube.
a) Show that $G = S_4$
b) Show that the alternating subgroup $A_4 \le S_4$ is isomorphic to the group
of ... | 4 | [
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Integration (different substitution = different answer)
n0_3sc
Yes they do differ by a half.
Thus, the two integrals are indeed different.
My point is if you were doing an analytical problem, then your end result will differ (by a constant) depending on the substitution. So which result is right?
Using MATLAB the ... | 5 | [
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-0... | 20,747 | 20747 | |
Extrema problem
November 3rd 2009, 04:08 PM #1
Junior Member
Joined
Sep 2009
Posts
62
Extrema problem
Problem: Given $f(x) = x^3 - ax^2 + 3x + b$,
(a) Determine conditions on a and b so that f(x) has exactly one critical point.
(b) Could f(x) have no critical points? If yes, determine the nece... | 4 | [
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0.08056640625,
0.041015625,
-0.02099609375,
-0.12158203125,
... | 20,748 | 20748 | |
Calculating total height of object (above horizon plus below horizon)
January 25th 2010, 03:29 AM #1
Newbie
Joined
Dec 2009
Posts
4
Calculating total height of object (above horizon plus below horizon)
Hi all,
Hoping that someone can come up with a simple explanation or solution to my problem ... ye... | 4 | [
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0.04736328125,
-0.0284423828125,... | 20,749 | 20749 | |
An inversion technique for the Laplace transform with application to approximation
, 1991
"... This paper reviews the Fourier-series method for calculating cumulative distribution functions (cdf's) and probability mass functions (pmf's) by numerically inverting characteristic functions,
Laplace transforms and generat... | 4 | [
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-0.06640625,
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0.04150390625,
0.00921630859375,
0... | 20,750 | 20750 | |
Patent US6097782 - Multi-modulus frequency divider
TECHNICAL FIELD
The present invention relates to a multi-modulus frequency divider.
BACKGROUND INFORMATION
Giga Hertz range frequency synthesizers using a phase-locked loop (PLL) need high-speed multi-modulus frequency dividers which divide input frequency by a sele... | 4 | [
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0.0... | 20,751 | 20751 | |
How do I find this limit
September 10th 2011, 07:57 AM #1
Member
Joined
Jul 2011
Posts
196
How do I find this limit
$xeq {-3,1}$
a) $\lim_{x \to -3+}g(x) = \frac{5x^2}{x^2+2x-3}$
b) $\lim_{x \to 1-}g(x) = \frac{5x^2}{x^2+2x-3}$
I can solve these by subbing in values just a bit greater tha... | 4 | [
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0.034912109375,
0.059326171875,
-0.0104370117187... | 20,752 | 20752 | |
challenging proof(section idea needed)
November 12th 2006, 09:47 PM
srinivas
challenging proof(section idea needed)
:cool: :cool: prove that between every two rationals there is another rational(do not use geometrical iterpretation )this is easy!!
also prove that between every two rationals there exists an i... | 5 | [
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0.01251220703125,
0.006988525390625,
-0.03... | 20,753 | 20753 | |
multiple exponent modular exponentiation
July 25th 2012, 06:15 AM #1
Newbie
Joined
Jul 2012
From
around
Posts
1
multiple exponent modular exponentiation
I am implementing a cryptographic accumulator and I need to obtain the value a ^ b ^ c ^ d ^ e mod f where a b c d and e are very large numbers. It ... | 5 | [
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0.1... | 20,754 | 20754 | |
Limit Of Sequence
January 21st 2008, 02:23 PM
jamesHADDY
Limit Of Sequence
Does someone mind showing me how to compute this limit algebraically? I'm pretty sure it goes to e, but I can't figure how to show it. Thanks for your help.
lim (n+1)^(1/ln(n+1))
January 21st 2008, 03:11 PM
Krizalid
Quote:
... | 5 | [
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Distance d from P
January 19th 2007, 06:54 PM #1
Banned
Joined
Jan 2007
Posts
315
Distance d from P
Let P = (x, y) be a point on the graph of y = x^2 + 2.
Express the distance d from P to the point (2, 0) as a function of x.
Distance between two points (x1y1) and (x2,y2):
d = sqrt[(x2 -x1)^... | 4 | [
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Making x the subject in an exponential equation
make x the subject y=5(1-e^(-x)) first i expand it so y=5-5e^(-x) loge(y)=loge(5)+loge(e5x) loge(y)-loge(5)=5x x=loge(y)-loge(5)/5 ??
$y = 5\left(1 - e^{-x}\right)$ $\frac{y}{5} = 1 - e^{-x}$ $e^{-x} = 1 - \frac{y}{5}$ $e^{-x} = \frac{5 - y}{5}$ $-x = \ln{\frac{5 - y}{5}... | 5 | [
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V^2 = vi^2 + 2ad, is v velocity or speed?
The solution to the equation v
^2
= 107.21 is v = Β±β(107.21).
That is, there are TWO possible answers.
This can be shown in a number of ways.
Two are:
1: v^2 = 107.21
β v^2 β (β(107.21))^2 = 0
β (v β β(107.21))Β·(v + β(107.21)) = 0
β v = β(107.21), or v... | 4 | [
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Physics Forums - Thermal Behavior of Air
Thermal Behavior of Air
1. The problem statement, all variables and given/known data
Air is mostly composed of diatomic nitrogen, N[2]. Assume that we can model the gas as an oscillator with an effective spring constant of 2.3 x 10^3 N/m and and effective oscillating mass o... | 5 | [
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Math Help
October 24th 2010, 04:46 AM #1
Super Member
Joined
Aug 2009
Posts
639
rank
let A be an nxn matrix st A^2 = A and rank(A) = n.
then the dimension of A should be nxn= n^2 right?
and i was wondering, if the rank(A) =n, then the det A= 1 ( since there will be n leading ones by row operat... | 5 | [
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Analytical Homoclinic Solution of a Two-Dimensional Nonlinear System of Differential Equations
Journal of Nonlinear Dynamics
VolumeΒ 2013Β (2013), Article IDΒ 879040, 4 pages
http://dx.doi.org/10.1155/2013/879040
Research Article
Analytical Homoclinic Solution of a Two-Dimensional Nonlinear System of Differential Equati... | 4 | [
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Algebra 1 question
solve for x first factor x x(m + 7n) = 7 divide both sides by (m+7n) to get $x = \frac{7}{m+7n}$
You did not state which variable we are solving for but like Amer, I will assume it is for x. We first factor out an x and then we divide every term by x. So, mx divided by x = m. Then 7nx divided by
x =... | 4 | [
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Patent US4132482 - Feedback system for a ring laser gyro
BACKGROUND OF THE INVENTION
This invention relates to ring laser gyroscopes in general and more particularly to an improved system for eliminating lockin in a ring laser gyroscope.
Various types of ring laser gyroscope apparatus have been developed. Typical is ... | 4 | [
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Recounting the Rationals, part I
This is the first in a series of posts Iβm planning to write on the paper βRecounting the Rationalsβ, by Neil Calkin and Herbert Wilf, mathematicians at Clemson University and the University of
Pennsylvania, respectively. Iβm really excited about it, and I hope that youβll soon see why... | 4 | [
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Prove a sequence is monotone and bounded, and find the limit.
February 2nd 2011, 11:42 PM
mremwo
Prove a sequence is monotone and bounded, and find the limit.
One last thing. So I have this sequence:
$x_1:= 8 \ \mbox{and} \ x_{n+1} =\frac{1}{2}x_n + 2 \ \ \mbox{for all} \ n\in N$
I know that it is stri... | 5 | [
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Dimension of the kernal of F, and determining the basis for the image.
April 10th 2012, 07:21 AM #1
Junior Member
Joined
Jan 2011
Posts
58
Dimension of the kernal of F, and determining the basis for the image.
Im struggling with the following Let F: $\P_2(R)$$\rightarrow$$\P_3(R)$ be the linear transform... | 5 | [
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... | 20,766 | 20766 | |
Physics Forums - View Single Post - Induced metric on the brane
Induced metric on the brane
Thanks for the reply,
I checked on Poisson's book and also Gourgoulhon's review but I couldn't found the reason.
I finally understood my mistake, [itex]h_{\mu\nu}[/itex] is not the induced metric but only the projection tenso... | 4 | [
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Can anyone help me to solve this problem. Thank.
please help me on the problem of finding minimum value. Thank. http://www.math.um.edu.my/Ismweb/Ome.../Problem+1.pdf
SuperTu $y = \sqrt{(x+a)^2+b} + \sqrt{(x+c)^2+d}$ I presume you mean the minimum value of y? Set $\frac{dy}{dx} = \frac{2(x+a)}{\sqrt{(x+a)^2+b}} + \frac... | 5 | [
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Revenue Word Problem
March 27th 2008, 05:19 PM #1
Revenue Word Problem
A local club is arranging a charter flight to Hawaii. The cost of the trip is $425 each for 75 passengers, with a refund of $5 per passenger for each passenger in excess of 75.
a. find the number of passengers that will maximize the reven... | 5 | [
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Application - System of Linear Equations
April 17th 2009, 08:45 PM #1
Member
Joined
Nov 2007
Posts
149
Application - System of Linear Equations
A hotel 35 miles from an airport runs a shuttle service to and from the airport. The 9:00 A.M. bus leaves for the airport traveling at 30 miles per hour. The 9:1... | 4 | [
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Patent US6370208 - Correlator for CDMA applications
RELATED APPLICATIONS
This application relates to an application by the same inventors entitled βMethods and Apparatus to Despread Dual Codes for CDMA Systems,β filed on the same date as this application.
BACKGROUND OF THE INVENTION
This invention relates generally ... | 4 | [
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is this right...?
May 3rd 2007, 04:54 AM #1
1/3x = 1/2x - 5
5 = 1/6x
x = 30
Is this right? If it is, how can I check it to show that it's right? Please help. Thnx so much!
is it 1/2x - 5 or 1/(2x - 5)?
you can check by pluging in your answer into the original equation and see if everything c... | 4 | [
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Quadratic Expressions and equations
April 1st 2011, 09:20 PM #1
Junior Member
Joined
Sep 2009
Posts
66
Given that y = 5 + px - (x^2) = 9 - (x+q)^2 , where q > 0, for all values of x,
a) calculate the values of the constants p and q.
b) state the maximum value of y and the value of x at which it ... | 4 | [
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... | 20,773 | 20773 | |
Orthogonal complement subspaces
January 29th 2011, 06:00 PM #1
Newbie
Joined
Jul 2010
Posts
7
Orthogonal complement subspaces
Prove that:
( $\bot$= orthogonal complement)
$(U \cap W)^\bot = U^\bot + W^\bot$
Attempt at solution:
$\rightarrow$
Let $x \in (U \cap W)^\bot$and $y \in U +... | 5 | [
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simple differential equation
I want to solve simple differential equation 2x(1+sqrt(x^2-y)) = y'*sqrt(x^2-y) 10x in advance
Well, there's probably some obviously simple approach. In the meantime: Make the substitution $w^2 = x^2 - y \Rightarrow 2w \frac{dw}{dx} 2x - \frac{dy}{dx} \Rightarrow \frac{dy}{dx} = 2x - 2w \f... | 5 | [
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[SOLVED] Simple Harmonic Motion
May 30th 2008, 10:56 PM #1
[SOLVED] Simple Harmonic Motion
How do you prove that a function shows that something is in SHM if the equation isn't in the form:
x = Acos (kt + b)
Is a graph would be acceptable or is there a mathematical way to do this?
x = sin t + [(3)^... | 4 | [
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trigo equation
October 7th 2009, 12:43 AM #1
Senior Member
Joined
Jan 2009
Posts
381
trigo equation
This seems easy but i am not quite sure ..
$4\cos \frac{7}{2}\theta\cos \theta\cos \frac{1}{2}\theta=0$
For $0<\theta<360$
so i think
$\cos \frac{7}{2}\theta=0$ , $\theta$= 180/7 , 540/... | 4 | [
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Euler problems/61 to 70
From HaskellWiki
Find the sum of the only set of six 4-digit figurate numbers with a cyclic property.
Solution:
Find the smallest cube for which exactly five permutations of its digits are cube.
Solution:
How many n-digit positive integers exist which are also an nth power?
Solution: Sinc... | 4 | [
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Patente US6433919 - Method and apparatus for wavelength conversion and switching
This invention was made with United States government support awarded by the following agency: NSF ECS-9521228. The United States has certain rights in this invention.
FIELD OF THE INVENTION
This invention pertains generally to the field... | 4 | [
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Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients
Abstract and Applied Analysis
VolumeΒ 2012Β (2012), Article IDΒ 471435, 19 pages
http://dx.doi.org/10.1155/2012/471435
Research Article
Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients
^1Depa... | 5 | [
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More on "Naturally Orthogonal"
I realize that not all CA readers are interested in multivariate methods and that dendroclimatologists want to βforget the mathβ, but I find it interesting to try to relate dendro and paleoclimate
recipes to known statistical methodologies that you can read about in texts.
I commented th... | 4 | [
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Product metric space
March 16th 2011, 10:59 PM
jackie
Product metric space
I am trying to show that if U is open in a metric space $(X,d)$ and $V$ is open in $(Y,p)$. Then $U \times V$ is open in the product topology generated by the taxicab metric $(X \times Y,e)$. In
order to show this, I tried to prove th... | 4 | [
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Three quick questions - Vector spaces and polynomials
February 26th 2010, 12:41 PM #1
Junior Member
Joined
Oct 2009
Posts
34
Three quick questions - Vector spaces and polynomials
Good day to all,
I have read the section on general vector spaces and there was a passing by mention of polynomials as a ... | 5 | [
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HW Question Factoring
October 2nd 2008, 08:33 AM
civiliam
HW Question Factoring
I don't know how to go on about solving this...
IT asks Use factoring to solve the equation for the real values of the variable
y^4 - 26y^2 + 25 = 0
I know how to factor but this one is throwing me off...
October 2nd ... | 4 | [
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Proof
September 8th 2008, 05:09 PM
fifthrapiers
Proof
I can't find the topic I made.. ugh.
Any way I'm trying to prove $5^{2008}$ always ends in the digits $25$.
I almost had it.. something like:
$5(2x+5) = 10x + 25$ . . . this doesn't quite work. I have to tweek that somehow to show it.
Septembe... | 4 | [
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Torque-free precession
In classical mechanics, an asymmetric rotating object will generally precess. Expressed in the body-fixed normal system of the object, we have [itex]I_i \dot{\omega_i}=(\vec{L}\times \vec{\omega})_i
[/itex] where [itex]L_i=I_i\omega_i[/itex].
Choosing a simple example where [itex]I_1=I_2[/itex],... | 4 | [
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Ratio Test
June 24th 2010, 06:26 PM #1
Junior Member
Joined
Jul 2008
Posts
46
Ratio Test
Can someone help me with the this ratio test. I am having problems canceling things and taking the limit.
Use the ratio test to determine convergence or divergence or that the Ratio Test is inconclusive.
Tha... | 5 | [
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on
Friday, January 3, 2014
Wednesday, November 13, 2013
It appears that the dailyprogrammer subreddit is back after a pretty long hiatus, and they kicked back into gear with a really interesting problem. The problem was, paraphrasing:
Given a Boolean expression as a string S, compute and print the negation of S ... | 5 | [
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closed-form expression and induction
1. October 14th 2013, 11:46 AM #1
2. October 14th 2013, 12:04 PM #2
Re: closed-form expression and induction
\begin{align*}f(3^0) & = 4 \\ f(3^1) & = 4 + 3(3^1-1) \\ f(3^2) & = 4 + 3(3^1-1) + 3(3^3-1) \\ & = 4 + 3(3^1 + 3^3 - 2) \\ f(3^3) & = 4 + 3(3^1 + 3^3 - 2) + 3... | 4 | [
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Real Life Example
22.4 Real Life Example using Sparse Matrices
A common application for sparse matrices is in the solution of Finite Element Models. Finite element models allow numerical solution of partial differential equations that do not have closed form
solutions, typically because of the complex shape of the do... | 5 | [
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Formula for Work to create a vacuum.
Malverin
The work to create difference in pressure is
W = dP*V*t
dP is the pressure difference
V is the volume of the air container
t is the time for what you have achieved the pressure difference
Not quite.
Consider the ideal case of a cylinder and a piston. You have a volum... | 4 | [
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GFX9
.
Feudal Priority Trees 09.october.1997 GFX
by Hin Jang
Interactive displays of complex polyhedral objects require a hidden-surface removal algorithm that maintains efficiently the priority relations among all polygons. One such method uses the notion of
feudal priority which, at the preprocessing phase, id... | 4 | [
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Can you tell me if i solved this right
July 9th 2013, 08:48 AM #16
Re: Can you tell me if i solved this right
This is simple manipulation of fractions.
$\frac {-1}{-3} + \frac 1 {-5} = \frac 1 3 + \frac {-1} 5$
To add these two fractions with different denominators you have to find the smallest common m... | 4 | [
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Programming Math
How do we solve \(f(x) = 0\)?
This question is often answered in early mathematics courses with analytical methods such as the quadratic formula. But real equations are very hard to solve exactly. Fortunately, they can often be
solved numerically, to any precision one wants.
To give an idea of how to... | 5 | [
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The First Law of Thermodynamics and Some Simple Processes
A process by which a gas does work on a piston at constant pressure is called an isobaric process. Since the pressure is constant, the force exerted is constant and the work done is given as
PΞV.PΞV. size 12{PΞV} {}
(1)
Figure 4: An isobaric ... | 4 | [
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Application of Derivatives
June 17th 2009, 09:03 AM
pankaj
Application of Derivatives
Let $f:R\to R$ be a twice differentiable function and suppose that for all $x\in R$, $f$ satisfies the following two conditions:
(i) $|f(x)|\leq 1$
(ii) $|f''(x)|\leq 1$
Prove that $|f'(x)|\leq 2$
June 18th 2009... | 5 | [
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conditional probability question that I am having trouble with
October 4th 2011, 12:48 PM
makaveli2178
conditional probability question that I am having trouble with
There are 100 people with a certain disease. Of these, 10 are randomly selected to receive a drug that increases the number cured from 50 to 75 per... | 4 | [
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Applied Problems with Polynomials
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β Applied Practice with β
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please help with absolute value equation
|6 - 5x| = 3x - 7 6+5x = 3x - 7 (minus 3x from both sides) 6 + 2x = -7 (minus 6) 2x = -13 (divide by 2) x = -13/2 6 - 5x = 3x - 7 (minus 3x from both sides) 6 - 8x = -7 (add 6) -8x = -1 (divide by
-8) x = 1/8 x = -13/2 and x = 1/8 I think that's right.
bobby77|6-5x| = 3x -7 Hi ... | 4 | [
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