content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Completing the Square Word Problem
June 14th 2009, 01:00 PM
shadow6
Completing the Square Word Problem
Alright I'm not exactly sure what category this question falls under, but it was a question part of a "completing the square" unit.
A rectangle is 6m longer than wide. The diagonal is 30m. Find the dimensi... | 4 | [
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0.0458984375,
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0.0791015625,
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0.041748046875,
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0.053466796875,
-0.024658203125,
-0.00830078125,
0.059814453125,
0.05419921875,
0.00408935546875,
0.0281982421875,
-0.0615234375,
0.083984375,
-0.056396484375,
0.052001953125,... | 19,600 | 19600 | |
Determinant of linear transform with ordered basis is independent of the choice
January 27th 2011, 07:16 PM
lllll
Determinant of linear transform with ordered basis is independent of the choice
Given a basis $\beta$ for $V$ define $\det(T) = \det([T]_\beta)$. Prove that the definition is independent of choice of... | 5 | [
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-0.016357421875,
-0.02... | 19,601 | 19601 | |
differentiation from first principles
August 18th 2008, 02:36 AM #1
Newbie
Joined
Aug 2008
Posts
1
differentiation from first principles
I understand the first section of this question but i can't get to the end.
it is differentiate from from first principles x+1/1-x
Thanks
$f(x+h) - f(x) ... | 5 | [
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... | 19,602 | 19602 | |
Probability Mass Function Question
October 1st 2006, 06:54 AM
abc4616
Probability Mass Function Question
The P.M.F. (probability mass function) of a discrete random variable X is given by,
f(x)=c ((x^2)+4), where X = (0,1,2,3), and c is a constant.
a) Determine value of c.
b) Find the mean and varia... | 4 | [
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0.0458984375,
0.0517578125,
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-0.028564453125,
-0.08740234375,
-0.05517578125,
-0.02587890625,
-0.03... | 19,603 | 19603 | |
Calculating the Energy from Sunlight over a 12-Hour Period
(Written in response to an inquiry recently received)
Incident sunlight is usually thought of in terms of power per unit area. The typical units are mW/cm^2. At the earth's surface, th... | 5 | [
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0.047119140625,
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0.... | 19,604 | 19604 | |
Patent USRE41631 - Multi-stage function mapping for a range of input values
FIELD OF THE INVENTION
This invention relates to graphics systems, and more particularly to gamma correction of pixels.
BACKGROUND OF THE INVENTION
Video displays using cathode-ray tubes (CRTs) are widely used. A voltage applied to the CRT d... | 4 | [
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0.0341796875,
0.00848388671875,
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0.03564453125,
-0.07861328125,
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0.05078125,
-0.0021820068... | 19,605 | 19605 | |
Doubling time!
January 23rd 2008, 02:42 PM
mathlete
Doubling time!
If the size of a bacteria colony doubles in 6 hours, how long will it take for the number of bacteria to triple? Give your answer in exact form and decimal form.
Exact:
Decimal (nearest hundreth):
ok so i know the equation that i ... | 4 | [
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... | 19,606 | 19606 | |
proving identities
$<br /> \frac{1+cot^3 t}{1+cot t}=csc^2 t - cot t<br />$
Hello, john doe! Mr. F is absolutely correct . . . $\frac{1+\cot^3\!t}{1+\cot t}\:=\:\csc^2\!t - \cot t$ Factor that sum-of-cubes . . . $\text{We have: }\;\frac{(1+\cot t)(1 - \cot t + \cot^2\!t)}{1
+ \cot t} \;\;=\;\;\underbrace{1 + \cot^2\!t... | 4 | [
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0.055419921875... | 19,607 | 19607 | |
checking answer
July 28th 2008, 11:10 AM #1
Junior Member
Joined
Jun 2008
Posts
39
checking answer
y= ln4x - 6
find equasion of tangent line at x=2
y' = 1/x find y - ln4(2) - 6 = -3.9
p/s formula = y + 4.9 = x/2 equasion of tangent line @ x=2 is y= x/2 - 4.9
Hello, weezie23!
I ca... | 4 | [
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Difference of the square - Tricky question for me...
September 1st 2010, 06:00 PM #1
Newbie
Joined
Sep 2010
Posts
2
Difference of the square - Tricky question for me...
Hi ! First post here !
I'm having some difficulty with a math problem in my math book and I'm starting to think the author made a m... | 4 | [
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Find matrix representation? (linear algebra)
October 14th 2012, 05:17 PM #1
Newbie
Joined
Oct 2012
From
montreal
Posts
3
Find matrix representation? (linear algebra)
Consider F: R^2 -> R^2 where F(1,1) = (3,-2) and F(3,-2) = (4,8). Find the matrix representation of F in the standard basis. Assuming B... | 5 | [
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Sufficient Conditions for Global Convergence of Differential Evolution Algorithm
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 193196, 14 pages
http://dx.doi.org/10.1155/2013/193196
Research Article
Sufficient Conditions for Global Convergence of Differential Evolution Algorithm
^1School of Computer ... | 4 | [
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Patent US5051906 - Mobile robot navigation employing retroreflective ceiling features
FIELD OF THE INVENTION
This invention relates generally to navigation of a moving vehicle such as a mobile robot and, in particular, to a vision system which includes a light source and a camera carried by the vehicle
which views a r... | 4 | [
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Finding the vertices, center and foci for an ellipse
April 5th 2009, 12:07 PM
Beeorz
Finding the vertices, center and foci for an ellipse
https://webwork.math.lsu.edu/webwork...7800afcd61.png
Center: ( , )
Right vertex: ( , )
Left vertex: ( , )
Top vertex: ( , )
Bottom vertex: ( , )
Right... | 4 | [
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-0.046142578125... | 19,613 | 19613 | |
How to determine eulers number
November 4th 2009, 12:03 AM #1
Member
Joined
Sep 2007
Posts
222
I have this question related to computer vision/computer science:
Determine the Euler Number for the following characters: 0, 4, 8, A, B, C, D, E
How do I do that?
0 - one body and one hole, so Eu... | 4 | [
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-0.05541... | 19,614 | 19614 | |
inverse trig integration:two methods=two diff ans HELP!!
April 1st 2008, 04:35 PM #1
inverse trig integration:two methods=two diff ans HELP!!
Q is whats the integral of (3)divided by(9x^2+6x+5) with no limits....
...method 1. ..............9( x^2 + (2/3)(x) + (5/9) )
=9( (x^2 + 1/3 )^2 + 4/9 )
theref... | 5 | [
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0.04858398437... | 19,615 | 19615 | |
More ASAp help, test in 1 day. divergence theorem
May 10th 2009, 10:32 AM #1
Newbie
Joined
May 2009
Posts
14
More ASAp help, test in 1 day. divergence theorem
use the Divergence Theorem to calculate F Nd omega, where S is the boundary of the cylinder x^2+y^2<orequal to, 0<orequaltoZ<orequal to 3, with ou... | 4 | [
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Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 431692, 11 pages
http://dx.doi.org/10.1155/2013/431692
Research Article
Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators wit... | 5 | [
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0.0361328125,
0.041992... | 19,617 | 19617 | |
Math Help
May 18th 2011, 11:43 PM #1
Newbie
Joined
May 2011
Posts
6
Integers
Dear all
I have these questions i am having difficulties solving on my on own,your help is been sorted as to how to approach these questions and soultion.I pick these questions from schuam series.
Thank you
Qu... | 5 | [
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Subgroups
March 9th 2013, 11:25 AM
lovesmath
Subgroups
Let G be a group and H be a normal subgroup of G. If |H|=2, then show that H<=Z(G). I know I have to show that H is a subgroup of the center of G, but I don't know what to do.
March 9th 2013, 12:24 PM
Lockdown
Re: Subgroups
The order of H is 2, so it... | 5 | [
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Fitting an ellipse to point data
Some time ago I wrote an R function to fit an ellipse to point data, using an algorithm developed by Radim Halíř and Jan Flusser
^1
in Matlab, and posted it to the
r-help list
. The implementation was a bit hacky, returning odd results for some data. A couple of days ago, an email a... | 4 | [
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[SOLVED] New Math Problem
1. $\sqrt{3+2\sqrt{2}}-\sqrt{2}=$ ? 2. $y+\frac{2}{x+z}=4$ $5y+\frac{18}{2x+y+z}=18$ $\frac{8}{x+z}-\frac{6}{2x+y+z}=3$ Then the value of $y+\sqrt{x^2-2xz+z^2}$ = ??
Last edited by Grandad; February 20th 2010 at 05:57 AM. Reason: Fixed LaTeX
Hello, wizard654zzz! (1) Simplify: . $\sqrt{3+2\sq... | 4 | [
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Determinant of 4 by 4 matrix
December 22nd 2008, 10:55 AM #1
Junior Member
Joined
Nov 2008
Posts
37
Determinant of 4 by 4 matrix
Hi,
I have a problem with understanding how to calculate a determinant of 4 by 4 matrix with no zero elements.
If given matrix is:
$<br /> A= \begin{pmatrix}a_{11} ... | 4 | [
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Patent US5369592 - Three-dimensional machining method
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method of machining a workpiece three-dimensionally with a machine tool such as a milling cutter, and more particularly to a calculation control for generating a
path of the m... | 4 | [
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-... | 19,623 | 19623 | |
semidirect product (sorry the text looks messy)
February 5th 2009, 09:46 AM #1
Member
Joined
Oct 2008
Posts
83
semidirect product (sorry the text looks messy)
I am working on the semidirect product in group theory. And I got stuck on a question which is not difficult. Here is the question:
If Q, K a... | 5 | [
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Picard iteration
This site
explains it. If you have a DE
y' = f(x,y)
then y is that function which satisfies:
[tex]\mathbf{y}(x) = y(x_0) + \int _{x_0} ^x f(\xi , \mathbf{y}(\xi ))d\xi [/tex]
Notice how I boldfaced the "y"s. Pick functions f and w "randomly," and plug them into the right side of the equation. Comp... | 4 | [
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0... | 19,625 | 19625 | |
Help with story problems!
July 19th 2009, 01:21 PM
epetrik
Help with story problems!
1. In a vontorversial school vote, only 19 percent of the teachers vote yes, whereas 95 percent of the students voted yes. If all teachers and students voted and 91 percent of the voters voted
yes, what is the student to tea... | 4 | [
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-... | 19,626 | 19626 | |
I need help with this finding a centroid of a triangle
1. The problem statement, all variables and given/known data
Well I just need to understand how to find the centroid of a triangle, I know it's 2/3 from the vertex, but I need to know how finding it is done.
2. Relevant equations
[tex]\overline{x}= \frac{\int x... | 4 | [
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-0.037109375,
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0.060791015625,
-0.01904... | 19,627 | 19627 | |
Really simple question on Surface Intergrals Plz help
March 28th 2010, 06:05 PM #1
Newbie
Joined
Mar 2010
Posts
1
Really simple question on Surface Intergrals Plz help
Hey everyone,
Sorry i dont know how to add math equations.
For those who dont want to read the whole thing. I just cant figure ... | 4 | [
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0.00579833984375,
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-0.0... | 19,628 | 19628 | |
Application of Cosine Problem
February 28th 2009, 02:31 PM #1
Member
Joined
Nov 2007
Posts
149
Application of Cosine Problem
The tide, or depth of the ocean near the shore, changes throughout the day. The water depth $d$ (in feet) of a bay can be modeled by
$d = 35-28\cos{\frac {\pi}{6.2}}{t}$
... | 4 | [
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... | 19,629 | 19629 | |
Infinite sequences and series.. help!
christian0710
I'm sory, You are right I'm confusing things together.
No need for apology. This is complicated stuff when you're first exposed to it.
christian0710
I sat down, re-read everything, and here it is. I understand it now, I really spent time thinking about it.
I ... | 4 | [
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unbiased estimator
May 22nd 2012, 12:45 PM #1
Member
Joined
Jan 2010
Posts
88
unbiased estimator
So I have 3 independent populations with μ1, μ2, and μ3.
It is given to calculate their average we use L= (μ1+μ2) - μ3
We have random samples for each population with respective sample mean Y1, Y2, a... | 5 | [
0.01446533203125,
-0.0576171875,
0.0223388671875,
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-0.08056640625,
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0.0281982421875,
-0.05615234375,
0... | 19,631 | 19631 | |
Complex Plane
March 28th 2010, 03:56 PM #1
Junior Member
Joined
Feb 2010
Posts
30
Complex Plane
We know that multiplying the plane of complex numbers by a constant complex number u multiplies all distances by the absolute value of u.
Explain why any u with absolute value =1 can be written in the for... | 4 | [
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... | 19,632 | 19632 | |
Max (x,y) is defined as the maximum of x and y, and min(x,y)
Author Message
TAGS:
Max (x,y) is defined as the maximum of x and y, and min(x,y) [#permalink] 28 Feb 2012, 18:52
... | 4 | [
0.0859375,
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... | 19,633 | 19633 | |
A Class of Weingarten Surfaces in Euclidean 3-Space
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 398158, 6 pages
http://dx.doi.org/10.1155/2013/398158
Research Article
A Class of Weingarten Surfaces in Euclidean 3-Space
^1School of Mathematics and Quantitative Economics, Dongbei University of Finance... | 4 | [
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equation of tangent line
find the equation of the tangent line to the curve at the given point. y=(1+2x)^10 (0,1)
First find what is dy/dx. Note that the gradient of the tangent to the curve at x=0 is equal to the gradient of the curve at the pt. x=0 To find dy/dx, use chain rule. dy/dx=10{(1+2x)^9} x 2 =20
{(1+2x)^9}... | 5 | [
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0.01043701... | 19,635 | 19635 | |
Triangle question
February 24th 2009, 07:14 AM #1
Newbie
Joined
Feb 2009
Posts
12
Triangle question
Hi!
How can I count the surface area of an isosceles triangle + lengths of all sides + count the angles ?
I only know the height of the isosceles triangle and the base angle too.
Thanks for... | 4 | [
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... | 19,636 | 19636 | |
RSA encryption
April 9th 2006, 05:21 PM
darren_a1
RSA encryption
This problem is for my discrete math class - so I hope this is in the right section.
Quote:
This problem is to be done using only the computing power of a pocket calculator. Write out all your work in step-by-step form showing all comput... | 5 | [
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-0.04833984375,
0.006805419921875,
-0.03857421875,
0.0303955... | 19,637 | 19637 | |
t
Member Search
Archive
Printable view
Discuss this article
... | 5 | [
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0.0260009765625,
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0.03063964... | 19,638 | 19638 | |
Math Help
October 11th 2010, 11:00 AM #1
Newbie
Joined
Sep 2010
Posts
12
Matrix
1)There are 4 switches numbered 1 through 4. Is it possible to set the switches such that:
i) Switch 3 is off.
ii) An odd number of switches 1, 2 and 3 are OFF.
iii) An odd number of switches 2, 3 and 4 are ON.
... | 5 | [
0.004364013671875,
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0.0693359375,
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-0.026611328125,... | 19,639 | 19639 | |
Hypothesis testing
can anyone out there help me with Hypothesis Math Thanks, Nisa
Last edited by LilFire11; March 6th 2008 at 07:49 AM. Reason: need to att. math
Hypothesis test for a population proportion A decade-old study found that the proportion, , of high school seniors who believed that "getting rich" was an i... | 4 | [
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0.0267333984375,
-0... | 19,640 | 19640 | |
Linear second order recurrence sequence
March 21st 2011, 07:21 AM #1
Junior Member
Joined
Oct 2008
Posts
57
Thanks
1
Linear second order recurrence sequence
Can somebody please point me into a really helpful website / video to help me get my head around these, I under stand the basics but getting con... | 4 | [
-0.06396484375,
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0.036865234375,
0.0238037109375,
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0.0191650390625,
-0.06689453125,
-0.03881835... | 19,641 | 19641 | |
Exponential method 3 variables
December 31st 2010, 02:13 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Exponential method 3 variables
Solve using exponential method.
My book as a good example for separation of variables but neglected one for the exponential method.
... | 5 | [
-0.01068115234375,
0.0009765625,
-0.0390625,
0.01129150390625,
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0.08056640625,
0.05517578125,
-0.0546875,
-0.0115966796875,
-0.064453125,
0... | 19,642 | 19642 | |
Patent US6975319 - System, method and article of manufacture for calculating a level of detail (LOD) during computer graphics processing
FIELD OF THE INVENTION
The present invention relates to computer graphics, and more particularly to determining the level of detail (LOD) for texture mapping during computer graphics... | 4 | [
-0.028564453125,
0.057861328125,
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-0.15625,
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0.087890625,
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-0.0546875,
0.01348876953125,
0.03... | 19,643 | 19643 | |
Tricky probability question
A coin is tossed 3 times. at least 1 head is obtained. Determine each probability...?
1) exactly 1 head is obtained
2) exactly 2 heads are obtained
3) exactly 3 heads are obtained.
------------------------------------------------------------
for 1) brute force indicates that there 7 possib... | 4 | [
-0.0213623046875,
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-0.08056640625,
-0.007232666015... | 19,644 | 19644 | |
Sketch the graph of the following:
2x^2 + 2y^2 + x + y = 0 Show complete working out.
Your question is not at all clear. You could "sketch" the graph by calculating several points: if x= 0, $2y^2+ y= y(2y+1)= 0$ so y= 0 or -1/2. $(0, 0)$ and $(0, -\frac{1}{2})$ are points on the
graph. Taking y= 0, we get, in exactly ... | 4 | [
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0.04150390625,
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-0.09228515625,
... | 19,645 | 19645 | |
Irreducible Factors
September 26th 2009, 03:49 PM #1
Member
Joined
Apr 2008
Posts
191
Irreducible Factors
Consider the polynomial $p(x)=x^6-1$.
(a) Find all monic irreducible factors of $p(x)$ over $Q$.
(b) Find all monic irreducible factors of $p(x)$ over $R$.
(c) Find all monic irreducible... | 4 | [
0.0146484375,
-0.0123291015625,
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0.041748046875,
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0.039306640625,
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0.02880859375,
0.0361328125,
-0.00183868408203125,
0.030517578125,
-0.080078125,
0.0... | 19,646 | 19646 | |
Exponential Functions
May 12th 2008, 08:34 PM #1
Junior Member
Joined
Apr 2008
Posts
30
Exponential Functions
A bank pays 9 percent interest compounded annually. There are 1000 dollars in the account in January 1933. You may use a calculator.
a) How much money will be in the account in January 1934? ... | 4 | [
0.031494140625,
0.08349609375,
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-0.0184326171875,
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0.04833984375,
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0.0037841796875,
-0.11767578125,
-0.02... | 19,647 | 19647 | |
Simple real world calculus problem
April 15th 2013, 05:30 AM #2
April 15th 2013, 04:38 AM #1
Newbie
Re: Simple real world calculus problem
Last edited by dokrbb; April 15th 2013 at 05:32 AM.
Re: Simple real world calculus problem
This is incorrect. x and y are both functions of t, so when you differentiate... | 4 | [
-0.08056640625,
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0.05126953125,
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0.0751953125,
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0.07568359375,
-0.09912109375,
-0.034179687... | 19,648 | 19648 | |
Multiplicative inverse - what am I doing wrong?
July 5th 2008, 02:20 PM #1
Junior Member
Joined
Apr 2008
Posts
25
Multiplicative inverse - what am I doing wrong?
Hello
This should be easy, but I am being stupid I think.
□ I have a finite field with 269 fields.
□ I want to find the multi... | 5 | [
0.01068115234375,
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0.00170135498046875,
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0.0888671875,
0.026611328125,
-0.022216796875,
0.03369140625,
-0.0393066... | 19,649 | 19649 | |
Patent US6115442 - Programmable divider and a method for dividing the frequency of a pulse train
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to the implementation of a programmable divider. It more particularly applies to the implementation of a frequency divider which divides ... | 4 | [
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0.005401611328125,
-0.060302734375,
-0.026611328125,
-0.0009918212890625,
-0.01220703... | 19,650 | 19650 | |
Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 812125, 11 pages
http://dx.doi.org/10.1155/2013/812125
Research Article
Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobje... | 4 | [
-0.04345703125,
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0.0634765625,
0.02880859375,
-0.001556396484375,
0.05078125,
0.034912109375,
0.016... | 19,651 | 19651 | |
2 Questions
Matthollyw00d
00001000010000100001
But I'm not seeing a proof that is simpler than what I did unfortunately. =/
Assume 0 < r < n
[tex]m = tn + r[/tex]
[tex]N_{m} = N_{m} - (10^{(t-1)*n + r})*N_{n} \mod N_n[/tex]
[tex]N_{m} = N_{m-n} \mod N_{n}[/tex]
[tex]N_{m} = N_{m-n} - (10^{t-2}*n + r})*N_{n} \mo... | 4 | [
-0.11767578125,
0.07373046875,
0.01055908203125,
-0.01177978515625,
-0.00946044921875,
-0.0291748046875,
0.033447265625,
0.01171875,
-0.0869140625,
-0.099609375,
0.02978515625,
0.0147705078125,
0.030029296875,
0.050048828125,
-0.042724609375,
-0.0025787353515625,
-0.033935546875,
0... | 19,652 | 19652 | |
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 tensor. For to have the induced metric we have to look to the tangenti... | 5 | [
0.0361328125,
-0.033203125,
0.06298828125,
-0.09326171875,
0.0018310546875,
0.0615234375,
0.05712890625,
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0.0146484375,
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0.0634765625,
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0.0118408203125,
-0.0201416015625,
-0.0245361328125,
-0.021728515625,
-0.007720947265... | 19,653 | 19653 | |
Need help solving for this matrix
October 28th 2010, 01:55 PM #16
Newbie
Joined
Oct 2010
Posts
17
I first multiplied both sides by $x^{T}$ which gave me
$x^{T}A^{T}Ax = x^{T}c$
Which simplifies to
$(Ax)^{T}(Ax) = x^{T}c$
and since we know that $||Xy||^2 = \sqrt{(X \cdot y)} ^2$
then $... | 5 | [
-0.00183868408203125,
-0.0458984375,
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0.039306640625,
-0.0291748046875,
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0.043701171875,
-0.0211181640625,
0.1474609375,
0.03466796875,
0.016845703... | 19,654 | 19654 | |
Seemingly easy problem.. modern curriculum's fault?
September 13th 2009, 11:48 PM #1
Newbie
Joined
Mar 2009
Posts
22
Seemingly easy problem.. modern curriculum's fault?
Hi I've recently bought a book called "Algebra" by Gelfand & Shen. The scope of the book is to teach students math the "pure way", which... | 4 | [
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0.06787109375,
0.04541015625,
-0.02685546875,
0.041748046875,
0.037841796875,
-0.017578125,
0.01806640625,
-0.0390625,
0.0167236328125,
... | 19,655 | 19655 | |
Help with complex systems of equations
September 20th 2011, 07:48 PM
DanielLiwicki
Help with complex systems of equations
Hi All
These equations are the resulte from a lagrange multiplier optimization problem. I can not get the algebra right! Please help!
280*pi*r + 80*pi*hi - 2*lamda*r*h = 0
80*pi*... | 5 | [
-0.049560546875,
0.0908203125,
-0.115234375,
-0.03955078125,
-0.03125,
0.01019287109375,
-0.0152587890625,
-0.004425048828125,
-0.05419921875,
0.046142578125,
0.05615234375,
0.0191650390625,
0.0361328125,
0.059814453125,
0.034423828125,
-0.025390625,
0.00390625,
-0.0284423828125,
... | 19,656 | 19656 | |
Ellipse problem
May 7th 2010, 07:54 PM
arze
Ellipse problem
The tangent at $P(a\cos\theta, b\sin\theta)$ to the ellipse
$b^2x^2+a^2y^2=a^2b^2$
cuts the y-axis at Q. The normal at P is parallel to the line joining Q to one focus S'. if S is the other focus, show that PS is parallel to the y-axis.
$Q(... | 4 | [
-0.068359375,
0.037109375,
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-0.0537109375,
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0.1025390625,
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0.0081787109375,
0.1376953125,
0.0498046875,
0.08740234375,
0.0211181640625,
0.036376953125,
-0.0026397705078125,
0.0130615234375,
0.078125,
-0.06396484375,
0.0044555664062... | 19,657 | 19657 | |
Find all solutions of the equation 2^x+3^y=z^2
this is what i have so far, but think i may have gone wrong somewhere, any ideas?
We are looking for solutions of:
2^x + 3^y = z^2 [1]
where x, y, and z are non-negative integers.
We can see that [1] is a congruence modulo 8:
3^y = z^2 (mod 8) [2]
When z=1 and and y=2 we... | 4 | [
-0.02490234375,
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0.0451660... | 19,658 | 19658 | |
Analysis of a Fractional-Order Couple Model with Acceleration in Feelings
The Scientific World Journal
Volume 2013 (2013), Article ID 730736, 6 pages
http://dx.doi.org/10.1155/2013/730736
Research Article
Analysis of a Fractional-Order Couple Model with Acceleration in Feelings
^1Department of Mathematics, Faculty o... | 5 | [
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0.125,
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definition of a derivative
October 15th 2009, 09:23 AM
hazecraze
definition of a derivative
Find lim $(3^(2+h)^2)-81/h$.
h->0
*Should be 3 raised to the $(2+h)^2$, not (3) $(2+h)^2$*
How do I solve this? So f(x)= $3^(x^2)$, $f'= a^x =a^xlna$
I got: $f'(2)=3^(2^2)(ln3)$=81(ln3)
Key says: 32... | 4 | [
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-0.113769... | 19,660 | 19660 | |
Calc 1 integration substitution and Implicit diff!
November 23rd 2008, 04:49 PM #1
Newbie
Joined
Nov 2008
Posts
3
Calc 1 integration substitution and Implicit diff!
I need some help with 2 and 8.
2) I see that U = sqrt(x-1) and then du=1/(2sqrt(x-1)) but how do I get an integer to sub in for xdx? Us... | 5 | [
-0.02197265625,
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-0.026... | 19,661 | 19661 | |
Constructing a truth table using the connective "not"
December 20th 2010, 12:32 PM #1
Newbie
Joined
Dec 2010
Posts
20
Constructing a truth table using the connective "not"
I am trying to construct a truth table for the statements 'P' and 'Q' - I am not told what these statements are so I guess they're ra... | 4 | [
0.047607421875,
0.053955078125,
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-0.056396484375,
0.0164... | 19,662 | 19662 | |
Laplace Transform
June 6th 2009, 05:21 PM #1
Newbie
Joined
Jun 2009
Posts
12
Laplace Transform
Hi, does anyone happen to know how to prove this equality.
Let $\displaystyle F(s) = \mathcal{L}\{f(t)\}$, then $\displaystyle\mathcal{L}\left\{\int_0^{\infty}\fra c {t^u \cdot f(u)}{\Gamma (u + 1)}du\righ... | 5 | [
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... | 19,663 | 19663 | |
Question about automorphisms
Erland
No, not always. The integers, Z, is a group under addition. |Z| is infinite, but there are only two automorphisms on Z, given by f(x)=x (identity map) and g(x)=-x, respectively.
Ahh yes, that makes sense now because every other map doesn't generate all of Z.
So f(x) = 2x wouldn'... | 5 | [
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-0.0664062... | 19,664 | 19664 | |
urn question
October 19th 2008, 03:31 PM #1
urn question
An urn contains $2n$ balls, of which $r$ are red. The balls are randomly removed in $n$ successive pairs. Let $X$ denote the number of pairs in which both balls are red. Find $E[X]$.
I'm thinking it would be a Bernoulli distributions, therefore:
$... | 5 | [
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... | 19,665 | 19665 | |
Proving Cayley Transform operator is unitary
Hi Ad123q!
Ad123q
Hi,
Was wondering if anyone could give me a hand.
I need to prove that the Cayley Transform operator given by U=(A-i)(A+i)^-1 is UNITARY, ie that UU*=U*U=I where U* is the adjoint of U (I am given also that A=A* in the set of bounded operators over
a ... | 5 | [
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0.0480... | 19,666 | 19666 | |
Complex numbers: express in modulus-argument form (cis)
February 15th 2011, 08:51 PM #1
Newbie
Joined
Feb 2011
Posts
14
Complex numbers: express in modulus-argument form (cis)
1 + cot(x)i , express in modulus argument form where 0 < x < pi/2
I understand how to get the modulus by finding (1 + cot^2(... | 4 | [
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-0.04223... | 19,667 | 19667 | |
spline
7.1 How to use spline
GNU spline is a program for interpolating between the data points in one or more datasets. Each dataset would consist of values for an independent variable and a dependent variable, which may be a
vector of specified fixed length. When discussing interpolation, we call these variables `t' ... | 4 | [
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0.0... | 19,668 | 19668 | |
Real Analysis, can someone help me?
March 27th 2013, 07:30 PM #1
Newbie
Joined
Oct 2012
From
Chile
Posts
3
$\text{Let }\left( \text{X},\text{ d} \right)\text{ a metric space}.\text{ Show that }{{\left\{ {{\text{x}}_{\text{n}}} \right\}}_{\text{n}\in \mathbb{N}}}~\text{satisfies }{{\text{x}}_{\text
... | 4 | [
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... | 19,669 | 19669 | |
matrix groups
September 24th 2011, 08:08 PM
burak100
matrix groups
$A= \left( \begin{matrix} i & 0 \\ 0 & -i \end{matrix} \right)$
, $B= \left( \begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix} \right)$
\\
Show that $\langle A, B \rangle$ is subgroup of $GL_2(\mathbb{C})$. And Show that $\langle A, B \rangl... | 5 | [
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search results
Expand all Collapse all Results 76 - 100 of 110
76. CMB 2003 (vol 46 pp. 321)
Discreteness For the Set of Complex Structures On a Real Variety
Let $X$, $Y$ be reduced and irreducible compact complex spaces and $S$ the set of all isomorphism classes of reduced and irreducible compact complex sp... | 4 | [
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0.001953125,
... | 19,671 | 19671 | |
If I is an open interval, f is differentiable on I ....
April 13th 2010, 01:06 PM #1
Newbie
Joined
Apr 2010
Posts
19
If I is an open interval, f is differentiable on I ....
If I is an open interval, f is differentiable on I and a is in I, then there is a sequence a_n in I\{a} such that a_n-> a and f '(a_... | 4 | [
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Math Review Sheet Answers
Click here to return to the Questions.
Circles
Perfect Squares
Odds and Evens
Least Common Multiples
Common Percent Equivalencies
Distance Problems (Distance, Rate & Time)
Triangles (30-60-90, 45-45-90, 3-4-5, 5-12-13)
Prime Numbers
Work Problems
Percent Problems
Number Properties
Probabili... | 4 | [
0.07080078125,
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0.000701904296875,
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-0.0390625,
-0.01165771484375,
0.0... | 19,673 | 19673 | |
Physics Forums - View Single Post - Any notation for component-by-component vector multiplication?
You could express it with the
dyadic product
as
[tex]\nabla \cdot \text{diag}(\textbf{k} \otimes \nabla T) = \nabla \cdot \text{diag}([k] [\nabla T]^T),[/tex]
taking "diag" to mean "form a vector whose components are... | 4 | [
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0.09033203125,
-0.02... | 19,674 | 19674 | |
(cosx^2)/x=cosx true or false. Explain.
August 23rd 2011, 04:51 PM #1
Junior Member
Joined
Jul 2011
Posts
48
(cosx^2)/x=cosx true or false. Explain.
For all real values of X.
Is the following true or false? Provide reasoning for your answers.
(cosx^2)/x=cosx
I know it is false. Cos ca... | 4 | [
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0.1064453125,
-0.0045... | 19,675 | 19675 | |
A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient
International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 943621, 20 pages
http://dx.doi.org/10.1155/2012/943621
Research Article
A Regularization of the Backward Problem for N... | 5 | [
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-0.0717... | 19,676 | 19676 | |
Write the general form of the line...
June 27th 2010, 02:43 AM #1
Write the general form of the line...
Write the general form of a line through the point T of intersection of the two lines 2x - 3y + 6 = 0 and x + 3y - 15 = 0
Please help I have no idea how to do this.
Thanking You
Set the two equat... | 4 | [
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0.05859375,
-0.14453125,
-0.06... | 19,677 | 19677 | |
Double integration
December 10th 2008, 07:54 AM #1
Junior Member
Joined
Nov 2008
Posts
68
find the volume of the solid lying under the surface z=x^2+xy+y^2 and lying over the the region in the first quadrant bounded by the lines x=0, x=y and x+y=2 [Hint:you may find it easier taking a
vertical slice] ... | 4 | [
0.01239013671875,
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0.002227783203125,
0.000507... | 19,678 | 19678 | |
Is it just me, or evaluating integrals is not the easist thing to do? Please help!
December 4th 2012, 02:25 AM
theunforgiven
[SOLVED] Is it just me, or evaluating integrals is not the easist thing to do?
This is my first time evaluating integrals on my own and, unfortunately, I just can't seem to get it. As easy... | 5 | [
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-0.041259765625,
0.0358886... | 19,679 | 19679 | |
Falling object problem. ..
September 13th 2009, 09:45 PM #1
Newbie
Joined
Aug 2009
Posts
19
Falling object problem. ..
suppose an object is dropped from a height of x above the ground. Then its height after t seconds is given by h=-16tē+x, where h is measured in feet. Use this info to solve the problem.
... | 4 | [
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... | 19,680 | 19680 | |
Math Help
January 6th 2011, 12:53 PM #1
Dense subset
Let $X$ be the space of continuous functions $f:[0,\pi] \rightarrow \mathbb{C}$ with norm || $f|| = \int_0^\pi |f(x) |dx$. I am trying to determine whether the linearly independent set $\text
{span}\{\sin nx\}_{n \in \mathbb{N}}$ is dense in $X.$ Somebody ... | 5 | [
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0.076171875,
-0.01843... | 19,681 | 19681 | |
initial value problems
January 31st 2009, 10:24 PM
razorfever
initial value problems
solve the following initial value problems:
dy/dt cos t + y sin t = 1 where y(Pi/4) = sqrt(2)
(1 + x^2) dy/dx = y where y(0) = 1
t* dy/dt - y = t^3 sin t where y(Pi) = 0
January 31st 2009, 10:39 PM
Chris L T521
... | 5 | [
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0.034912109375,
-0.047607421875,
0.0240478515625,
-0.004058837890625,... | 19,682 | 19682 | |
Using Equations to Solve for molarity, volume of solution, and moles of a solute
February 28th 2011, 02:15 PM
MajorJohnson
Using Equations to Solve for molarity, volume of solution, and moles of a solute
I am using the formulas for molarity: M = Mol/L, L = mol/M, & Mol = M x L to solve the following two equation... | 4 | [
-0.0162353515625,
-0.0556640625,
0.03857421875,
0.037109375,
0.0294189453125,
-0.041259765625,
0.00909423828125,
0.078125,
0.0252685546875,
0.0037384033203125,
0.05078125,
-0.0225830078125,
0.02392578125,
0.05078125,
-0.03125,
0.057373046875,
0.01385498046875,
-0.0361328125,
-0.1... | 19,683 | 19683 | |
Proof concerning a transitive closure
August 23rd 2011, 01:47 PM #1
Newbie
Joined
Aug 2011
Posts
18
Proof concerning a transitive closure
Problem Statement:
Suppose R is a relation on A and let S be the transitive closure of R. Prove that Dom(S) = Dom(R) and Ran(S) = Ran(R).
*Dom() signifies th... | 5 | [
0.004150390625,
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0.0018463134765625,
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0.0400390625,
0.0361328125,
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0.037841796875,
0.00921630859375,
0.005706787109375,
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0.1083984375,
-0.008056640625,
0.04833984375,
0.036865234375,
0.05615234375,
-... | 19,684 | 19684 | |
GMAT Arithmetic
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
□ GMAT Course Comparision
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... | 4 | [
0.029541015625,
-0.0260009765625,
0.0751953125,
0.007110595703125,
-0.018310546875,
0.06640625,
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0.0140380859375,
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0.048828125,
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0.007293701171875,
-0.08837890625,
0.028076171875,
0.00921630859375,
0.02880859375,
... | 19,685 | 19685 | |
Demand and Total Cost Curves
July 1st 2010, 03:39 AM #1
Newbie
Joined
Jul 2010
Posts
9
Demand and Total Cost Curves
I am given that:
Q=100-P
TC = 1/3Q³-7Q²+111Q+50
Find output and price that maximise profit and then calculate profit. Ensure you have found a maximum and checked for boundary m... | 5 | [
-0.06884765625,
0.08349609375,
-0.0184326171875,
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0.00311279296875,
0.07421875,
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0.046875,
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0.087890625,
0.01239013671875,
-0.0274658203125,
-0.01397705078125,
-0... | 19,686 | 19686 | |
Subtraction in vector spaces
January 10th 2011, 09:45 PM
I-Think
Subtraction in vector spaces
We have to prove some of the basic properties of operations in vector spaces, and sometimes it's easy to make assumptions when doing them, so I just want to make sure I'm correct.
Let V be a vector over a field F
... | 4 | [
-0.07373046875,
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0.048583984375,
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0.006927490234375,
0.011474609375,
0.109375,
-0.07080078125,
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0.033935546875,
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0.04150390625,
0.00714111328125,
-0.006744384765625,
0.000278472900390625,
0.02355957... | 19,687 | 19687 | |
Electric Potential Difference on a Cone
1. The problem statement, all variables and given/known data
I'm working out of Griffith's "Intro to Electrodynamics" and the problem states: "A conical surface (an empty ice-cream cone) carries a surface charge [tex]\sigma[/tex]. The height of the cone is h
as is the radius of t... | 5 | [
-0.060302734375,
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0.06884765625,
0.07080078125,
0.0020751953125,
0.0076904296875,
-0.046142578125,
-0.01245... | 19,688 | 19688 | |
Locally Path Connected
Are the rational numbers Q, with the relative topology as a subset of the real numbers, locally compact ? why?
Last edited by lttlbbygurl; May 25th 2010 at 11:25 PM.
You wrote locally path connected, when I assume you meant compact like you said in the actualy body. The answer is no. Let $U$ be... | 5 | [
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0.0027313232421875,
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0.142578125,
-0.0260009765625,
-0.03271484375,
-0.0108642578125,
-0.01989746... | 19,689 | 19689 | |
Analysis of stress element
P0zzn
Consider a beam under combined loading. Axial force, bending moment and torsion.
I'm interested in determining the principle stress in any stress element on surface of beam.
Well as per rule i've to show my attempt so:
normal stress=axial load/beam crosssection
shear stress=torsion*... | 4 | [
-0.07666015625,
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-0.057373046875,
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-0.00341796875,
0.0260009765625,
-0.0181884765625,
0.04736328125,
-0.09423828125,
0... | 19,690 | 19690 | |
Illumination Problem
1. The problem statement, all variables and given/known data
I am going to use "Z" to represent theta,
The amount of illumination on a surface is given by I=kSinZ/d^2
where Z is the angle at which the light strikes the surface, k is the intensity of illumination (and is constant), and d is the dist... | 4 | [
-0.05810546875,
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0.05078125,
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0.09375,
0.0322265625,
0.04248046875,
0.00689697265625,
0.10400390625,
... | 19,691 | 19691 | |
Having trouble w/ a few Factoring Polynomials and Radical Expression problems
January 12th 2011, 02:19 PM #1
[Solved]Having trouble w/ a few Factoring Polynomials and Radical Expression problems
I'm having a tough time understanding these:
X^6 - 1
And if you can, please give me a little explanation ... | 4 | [
-0.032958984375,
-0.07421875,
0.0033111572265625,
0.0703125,
0.03173828125,
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0.0140380859375,
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0.0172119140625,
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0.03466796875,
0.08349609375,
0.00787353515625,
0.0703125,
-0.072265625,
0.01... | 19,692 | 19692 | |
Help with Elem. Linear Algebra Proof?
July 29th 2009, 01:02 PM #1
Member
Joined
Mar 2009
Posts
168
Help with Elem. Linear Algebra Proof?
I've been browsing over some Linear Algebra this summer, and came across this problem in a practice book. Any help on this? It should be solvable using only elementary ... | 5 | [
-0.05810546875,
0.03759765625,
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0.05908203125,
-0.00848388671875,
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-0.031005859375,
-0.05859375,
0.0260009765625,
-0.0240478515625,
-0.... | 19,693 | 19693 | |
Poincare Invariance of vacuum
ChrisVer
Suppose I have a field [itex]\hat{X}[/itex]...
What kind of operator should it be in order to develop a vev which doesn't break the Poincare invariance?
I am sure that a scalar field doesn't break the poincare invariance, because it doesn't transform.
However I don't know how t... | 4 | [
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0.07421875,
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-0.0252685546875,
0.0208740234375,
0.057861328125,
... | 19,694 | 19694 | |
Proof on discrete maths, help :)
October 29th 2009, 03:46 PM #1
Banned
Joined
Oct 2009
Posts
39
Thanks
1
Proof on discrete maths, help :)
I 'm trying to proove that :
(a AND -b) OR (b AND -c) OR (c AND -a) = (a OR b OR c) AND (-a OR -b OR -c)
i ve put it on truth table and its working, but ... | 4 | [
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0.08154296875,
0.07080078125,
0.017578125,
0.09716796875,
-0.09521484375,
0.0397... | 19,695 | 19695 | |
e
We study a mathematical model describing the dynamics of a pluripotent stem cell population involved in the blood production process in the bone marrow. This model is a differential equation with
a time delay. The delay describes the cell cycle duration. We show that the delay can destabilize the system. In p... | 4 | [
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-0.059814453125,
-0.0089111328125,
-0.1591796875,
-0.0025482177... | 19,696 | 19696 | |
Closed Sets and Convergent Sequences
August 10th 2010, 07:41 AM #1
Closed Sets and Convergent Sequences
I was reading this theorem in my analysis text and came across something I could not quite follow:
Theorem: Let S be a subset of the metric space E. Then S is closed if and only if, whenever $p_1, p_2, ...... | 4 | [
-0.0576171875,
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0.0238037109375,
-0.034423828125,
0.021484375,
-0.08837890625,
0... | 19,697 | 19697 | |
profit maximising monoloys
July 17th 2009, 04:09 AM
arslan
profit maximising monoloys
can anyone help?
A monopoly firm has a total revenue function:
and a total cost function:
where R, C and Q are total revenue, total cost and quantity respectively.
(a)Calculate:
i. The monopolist’s profit ... | 4 | [
-0.046875,
0.01556396484375,
-0.00567626953125,
-0.068359375,
-0.06982421875,
0.0233154296875,
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0.09033203125,
0.04833984375,
0.091796875,
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0.05078125,
0.045166015625,
0.00103759765625,
-0.005889892578125,
-0.017333984375,
-0.01... | 19,698 | 19698 | |
Using Gravitational constant to get the final velocity
1. The problem statement, all variables and given/known data
Evil Alien has put an Asteroid with
mass of 1,000,000kg to destroy mankind.
Distance from center of the Earth to Asteroid
(assume negligible center) is
10^8m and lets the gravitational force do the work.
... | 4 | [
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0.058349609375,
0.031982421875,
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0.0007476806640625,
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0.00146484375,
-0.033447265625,
0.0830078125,
0.039794921875,
0.0629882... | 19,699 | 19699 |