content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Define function for any set of real numbers..
December 26th 2009, 09:07 AM #1
Define function for any set of real numbers..
Hi,
first of all, Merry Christmas! I am doing some math while digesting another huge dinner, and have a small question.
Problem:
If A is any set of real numbers, define a functi... | 4 | [
-0.041748046875,
0.010009765625,
0.0150146484375,
-0.0537109375,
-0.07275390625,
0.10693359375,
0.09130859375,
-0.01434326171875,
0.0303955078125,
-0.0142822265625,
0.0262451171875,
-0.162109375,
0.03662109375,
0.0250244140625,
0.027099609375,
-0.02490234375,
-0.004425048828125,
-0... | 27,800 | 27800 | |
Help with differentiation incl. ln.
1. December 18th 2011, 03:59 PM #1
2. December 18th 2011, 06:37 PM #2
Re: Help with differentiation incl. ln.
Hi,
These is nothing special there. Just use the product rule together with the chain rule.
Note that you have something like $(x-1)ln(x-1)-x ... | 5 | [
-0.0289306640625,
-0.0191650390625,
0.10693359375,
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0.053955078125,
-0.0184326171875,
0.08740234375,
0.0194091796875,
0.02490234375,
0.048828125,
0.0869140625,
-0.03125,
0.0289306640625,
-0.00787353515625,
-0.034423828125,
0.07275390625,
-0.099609375,
-0.042724609375,
... | 27,801 | 27801 | |
Trigo Identities - Proving
Can anyone help me with proving this: $sin^2 2x - sin^2 x = sin x sin 3x$
$\sin^2 2x - \sin^2 x =\sin x \sin 3x$ $(\sin 2x)^2 - \sin^2 x =\sin x \sin(x+2x)$ $(2\sin x \cos x)^2 - \sin^2 x =\sin x (\cos 2x \sin x + \cos x \sin 2x)$ $4\sin^2 x \cos^2 x - \sin^2 x =\sin x (\
cos 2x \sin x + 2\c... | 4 | [
-0.032470703125,
0.017578125,
-0.05126953125,
0.037841796875,
0.0299072265625,
0.041015625,
-0.056640625,
-0.01251220703125,
0.0191650390625,
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0.05908203125,
-0.01708984375,
0.010009765625,
-0.0390625,
0.0177001953125,
-0.04150390625,
0.04345703125,
0.0751953125,
... | 27,802 | 27802 | |
probability and statistics
(Right Triangle Problem) Randomly cut a line segment into three pieces. What is the probability that these three pieces can form a right triangle?
• probability and statistics - Reiny, Tuesday, October 4, 2011 at 10:48am
What a neat question !
Some starting thoughts ....
the ... | 4 | [
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0.0024871826171875,
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0.0142822265625,
0.048583984375,
0.016845703125,
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-0.03515625,
0.062255859375,
0.07861328125,
-0.0595703125,
0.0498046875,... | 27,803 | 27803 | |
Comparison of Soft Computing Techniques for Modelling of the EDM Performance Parameters
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 392531, 15 pages
http://dx.doi.org/10.1155/2013/392531
Research Article
Comparison of Soft Computing Techniques for Modelling of the EDM Performance Parameters
^1M... | 4 | [
-0.0277099609375,
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0.039306640625,
0.040283203125,
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0.0849609375,
-0.0380859375,
... | 27,804 | 27804 | |
Differential Equation Systems
August 28th 2008, 01:48 AM
scotty
Differential Equation Systems
Hi, first time posting here, I am an engineering student - really stuck on part of differential systems, could someone help explain how to go about converting a system of n 1st order Differential
Equations into a hi... | 5 | [
-0.1044921875,
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0.0257568359375,
0.03466796875,
0.05615234375,
0.0908203125,
-0.0498046875,
0.058837890625,
-0.052978515625,
-0.0341796875,
0.016357421875,
-0.09619140625,
0.03515625,
-... | 27,805 | 27805 | |
Integration by parts
February 7th 2010, 06:17 AM
confusedgirl
Integration by parts
Integrate (x^3 dx) / square root of (1-x^2)
i have to integrate it by parts. i already tried it but my answer waa 0=0 is that possible?
February 7th 2010, 06:22 AM
Henryt999
how?
February 7th 2010, 06:27 AM
confusedgirl
... | 5 | [
-0.031494140625,
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-0.0230712890625,
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0.00872802734375,
-0.0181884765625,
-0.014404296875,
0.0177001953125,
-0.025146484375,
-0.0274658203125,
0.02319... | 27,806 | 27806 | |
Matching Problem
March 29th 2010, 08:37 AM #1
Newbie
Joined
Feb 2010
Posts
9
Matching Problem
The Problem " Suppose that each man at a party throws his hat into the center of the room. The hats are first mixed up and then randomly selected. Whats the probability that exactly k of men
select their own... | 5 | [
0.0284423828125,
0.06982421875,
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0.04541015625,
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0.09375,
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0.01129150390625,
0.08447265625,
0.0341796875,
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-0.042724609375,
0.03759765625,
0.01373291015625,
-0.02099609375,
-0.... | 27,807 | 27807 | |
Method: Coefficient Testing
Excited about the upcoming changes to Regrowth‘s mana cost, I have been working on a comparative analysis of Regrowth‘s HPM value to that of Lifebloom. Part of any analysis of this nature is
factoring in the +Healing coefficient for each spell — no small task when you consider the number of... | 4 | [
-0.0264892578125,
-0.0203857421875,
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-0.02685546875,
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-0.0120849609375,
-0.03955078125,
-0.04150390625,
-0.00176239013671875,
-0.0810546875,
-0.0257568359375,
-0.0155... | 27,808 | 27808 | |
Homework Help
Posted by andrew on Wednesday, May 29, 2013 at 1:21am.
How many integers 1≤N≤1000 can be written both as the sum of 26 consecutive integers and as the sum of 13 consecutive integers?
• math plllls heelp - Steve, Wednesday, May 29, 2013 at 11:43am
The sum of 26 consecutive integers starting at n i... | 4 | [
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0.03076171875,
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-0.0361328125,
-0.0390625,
0.00067901611328125,
0.042236328125,
-0.005157470703125,
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-0.03173828125,
-0.0267333984375,
-0.00... | 27,809 | 27809 | |
Detection of arbitrarily-shaped clusters using a neighbor-expanding approach: A case study on murine typhus in South Texas
Abstract
Background
Kulldorff's spatial scan statistic has been one of the most widely used statistical methods for automatic detection of clusters in spatial data. One limitation of this method ... | 4 | [
0.10302734375,
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0.103515625,
0.048583984375,
-0.12158203125,
-0.043701171875,
0.0038757324218... | 27,810 | 27810 | |
Physics Circular motion
Posted by senko on Monday, October 8, 2012 at 1:26pm.
A car starts from rest on a curve with a radius of 110m and accelerates at 1.2m/s^2. Through what angle will the car have traveled when the magnitude of its total acceleration is 2.1 m/s^2?
I thought i got the answer which was 0.75 rad or 4... | 5 | [
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0.00311279296875,
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0.02880859375,
-0.0419921875,
0.0527... | 27,811 | 27811 | |
Specially for you GodelProof!
June 18th 2011, 08:56 AM #1
MHF Contributor
Joined
Dec 2007
From
Ottawa, Canada
Posts
3,082
Thanks
66
Specially for you GodelProof!
X[A,B,C].............................k.................... .............[M]Y
At X: 3 walkers A, B, C ; speeds a=2, b=8, c=10 respe... | 5 | [
0.0299072265625,
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0.047607421875,
0.0186767578125,
0.01843... | 27,812 | 27812 | |
de Morgan's laws on generalised union and intersection.
September 22nd 2012, 06:00 AM #1
Junior Member
Joined
Sep 2009
Posts
62
de Morgan's laws on generalised union and intersection.
Hi, I need to prove de Morgan's laws for generalised union and intersections, I came up with a proof but I don't know if ... | 4 | [
0.03955078125,
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-0.0478515625,
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-0.09375,
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0.02978515625,
0.08203125,
0.058349609375,
0.033447265625,
-0.02294921875,
-0.0673828125,
... | 27,813 | 27813 | |
Rearranging formulas
September 5th 2011, 03:04 PM #1
Senior Member
Joined
Jul 2008
Posts
313
Rearranging formulas
a = 5b - 2c(3+b) + c make b the subject
a = 5b - 6c + b + c
b = 5b + 6c^2 / a
can I not do that?
Re: Rearranging formulas
I would write:
$a=5b-2c(3+b)+c$
$\Leftri... | 4 | [
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-0.041015625,
0.007049560546875,
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0.05029296875,
-0.06396484375,
0.033203125... | 27,814 | 27814 | |
can anyone help wth this polynomial equation?
April 19th 2007, 04:55 PM #1
Newbie
Joined
Apr 2007
Posts
6
can anyone help wth this polynomial equation?
a cement walk of uniform width surrounds a rectangular pool that is 10m wide and 50m long. find the width of the walk if its area is 864 m squared.
... | 4 | [
0.006622314453125,
0.080078125,
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0.0096435546875,
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0.07470703125,
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0.0035400390625,
0.01953125,
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0.04736328125,
0.1015625,
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0.09619140625,
-0.0400390625,
0.07080078125,
-0.082... | 27,815 | 27815 | |
word problem equation
May 23rd 2008, 06:46 PM #1
Newbie
Joined
Mar 2008
Posts
12
word problem equation
Ben and Vince are playing a card game involving green and yellow cards. They get 3 points every time they draw a green card, and 5 points for yellow. The winner is the first to get to 50 points.
Ben... | 4 | [
0.04052734375,
0.08837890625,
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0.11279296875,
-0.1162109375,
-0.0319824218... | 27,816 | 27816 | |
Anna University Chennai ENGINEERING MECHANICS model question papers
Download Model question papers & previous years question papers Awards & Gifts
... | 4 | [
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0.00311279296875,
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0.06201171875,
-0.02685546875,
-0.07080... | 27,817 | 27817 | |
Pulsating Different Curves of Zero Velocity around Triangular Equilibrium Points in Elliptical Restricted Three-Body Problem
Journal of Mathematics
Volume 2013 (2013), Article ID 936859, 8 pages
http://dx.doi.org/10.1155/2013/936859
Research Article
Pulsating Different Curves of Zero Velocity around Triangular Equili... | 4 | [
-0.0059814453125,
0.044189453125,
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0.0264892578125,
-0.038818359375,
-0... | 27,818 | 27818 | |
Rapid and Reliable Calibration of Laser Beam Deflection System for Microcantilever-Based Sensor Setups
Journal of Sensors
Volume 2012 (2012), Article ID 617386, 6 pages
http://dx.doi.org/10.1155/2012/617386
Research Article
Rapid and Reliable Calibration of Laser Beam Deflection System for Microcantilever-Based Senso... | 4 | [
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... | 27,819 | 27819 | |
Am I Wrong (part 2)?
December 8th 2010, 01:03 PM #1
Junior Member
Joined
Apr 2010
From
Riverside, CA
Posts
58
Am I Wrong (part 2)?
Problem 15: $\int \sqrt{12 + 4x^2}$
I get:
$x\sqrt{x^2 + 3}+ 3 \ln(\frac{\sqrt{x^2 + 3} + x}{\sqrt{3}})$
the book has the same answer except the radical in... | 5 | [
0.06640625,
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0.037353515625,
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0.02001953125,
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0.004730224609375,
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0.0205078125,
0.0004367828369140625,
-0.006... | 27,820 | 27820 | |
First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 493483, 14 pages
http://dx.doi.org/10.1155/2013/493483
Research Article
First Characterization of a New Method for Num... | 4 | [
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0.00439453125,
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-0.... | 27,821 | 27821 | |
Graphing inequalities
January 24th 2007, 09:36 PM #1
Junior Member
Joined
Jan 2007
Posts
30
Graphing inequalities
I have to choose a system of inequalities that corresponds to a graph I have. My graph is of a circle with the center being (0,0) in the center. A line is drawn from the (-[sqrt]5, [sqrt]5) t... | 4 | [
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0.039794921875,
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0.0556640625,
0.06396484375,
0.029296875,
-0.030517... | 27,822 | 27822 | |
Modelling of Dual-Junction Solar Cells including Tunnel Junction
Advances in Condensed Matter Physics
Volume 2013 (2013), Article ID 546362, 5 pages
http://dx.doi.org/10.1155/2013/546362
Research Article
Modelling of Dual-Junction Solar Cells including Tunnel Junction
Laboratory of Condensed Matter and renewable ene... | 4 | [
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0.0361328125,
0.08203125,
0.052978515625,
0.0133056640625,
0.03613... | 27,823 | 27823 | |
Card problem
September 23rd 2008, 02:17 AM #1
Junior Member
Joined
Sep 2008
Posts
47
Card problem
6 cards are placed face down on a table. Some are red and some are white. You guess all 6 at random.
a) Suppose you are told that 2 are red and 4 are white cards. The rule is you must guess which two are... | 4 | [
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0.00244140625,
-... | 27,824 | 27824 | |
How to calculate this limit?
May 3rd 2010, 04:48 AM #1
Junior Member
Joined
Mar 2010
Posts
26
How to calculate this limit?
Hello forum members, thanks for all the help so far,
I would like to know how to calculate the limit below.
$\lim_{x\to1^+}{{55\,\sin \left(\pi\,x\right)}\over{1-x}}$
A... | 5 | [
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0.0155029296875,
0.04931640625,
0.047119140625,
-0.0279541015625,
-0.027954101... | 27,825 | 27825 | |
nth partial sums of series + telescoping series
April 12th 2011, 01:32 PM #1
Member
Joined
Aug 2009
Posts
101
nth partial sums of series + telescoping series
Alright, so I'm having some conceptual trouble. I'll go ahead and post the homework problems but these are the concept in practice. I don't need al... | 5 | [
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0.032958984375,
-0.09... | 27,826 | 27826 | |
A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions
International Journal of Differential Equations
Volume 2012 (2012), Article ID 412569, 9 pages
http://dx.doi.org/10.1155/2012/412569
Research Article
A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions
Institute of Tech... | 5 | [
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0.0069580078125,
-0.087890625,
0.0303... | 27,827 | 27827 | |
Physics homework... question
March 3rd 2007, 12:30 AM #1
Newbie
Joined
Dec 2006
Posts
13
Physics homework... question
Hi.
I have a little problem with this question. I did the first two (a) and (b), hopefully I did it ok.
I don't know how to do (c)... if anyone can help I'll be thankful.
A... | 4 | [
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Induction proof to prove recursive formula is equal to explicit formula
November 14th 2012, 04:31 PM #1
Newbie
Joined
Oct 2012
From
Ohio
Posts
14
Induction proof to prove recursive formula is equal to explicit formula
I'm really stuck on these, any help is appreciated. In each of the following a sequ... | 4 | [
-0.0771484375,
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Multiscale Point Correspondence Using Feature Distribution and Frequency Domain Alignment
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 382369, 14 pages
http://dx.doi.org/10.1155/2012/382369
Research Article
Multiscale Point Correspondence Using Feature Distribution and Frequency Domain Alignmen... | 4 | [
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How to derivate these?
November 16th 2010, 11:46 AM #3
Newbie
November 16th 2010, 11:13 AM #2
Super Member
November 16th 2010, 10:35 AM #1
Newbie
Thanks for the fast reply, but i've never seen the ln^2, how is that imputted when i want to know the answer of 0.1? etc: 0.1 ln^2 0.1 , I just get a syn error on m... | 5 | [
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Simple related rates prob
October 7th 2012, 10:39 AM #1
Member
Joined
Jul 2012
From
United States
Posts
87
Thanks
3
Simple related rates prob
Helium is pumped into a spherical balloon at $2 \frac{ft^3}{s}$. How fast is the radius increasing after 2 minutes?
I've searched some of the other re... | 5 | [
0.004638671875,
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0.0... | 27,832 | 27832 | |
A Direct Attitude Determination Approach Based on GPS Double-Difference Carrier Phase Measurements
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 548083, 6 pages
http://dx.doi.org/10.1155/2014/548083
Research Article
A Direct Attitude Determination Approach Based on GPS Double-Difference Carrier Phase ... | 4 | [
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Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]
I need help simplifying this trig expression. I started by trying to find a common denom. btwn the two fractions
@skeeter: Yes , but then I'm left w/ (cosxcotx(secx-tanx) + sinx(sexc + tanx). I tried putting all of tht in terms of sin & cos & eventually reached th... | 4 | [
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0... | 27,834 | 27834 | |
Math Help
April 10th 2009, 08:19 AM #1
Newbie
Joined
Apr 2009
Posts
7
Ellipse
I am trying to find the area of the segement in the ellipse that is highlighted red. The problem I have is that I anly know the measurments for the rectangel. Which means I don't have values for
minor and major axis. On th... | 4 | [
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expected value of x in Gaussian wave packet
September 7th 2009, 04:41 PM #1
Newbie
Joined
Jan 2009
Posts
18
expected value of x in Gaussian wave packet
This problem is killing me.
$\Psi(x) = Ae^{-\frac{(x-x_0)^2}{2K^2}}$
I normalized the wave packet
$\int^\infty_{-\infty} \Psi\Psi*\,dx = 1... | 5 | [
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0.04589843... | 27,836 | 27836 | |
Need help: Find for the values....
August 25th 2009, 07:08 PM #1
Newbie
Joined
Aug 2009
From
Now studying at INTEC, UiTM
Posts
5
Hi, everyone..I'm a new recruit and just joined this forum several weeks ago. So, hope u all can help me through every difficulties I face..yeah, this is my first ever quest... | 4 | [
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To buy or not to buy?
July 26th 2009, 06:09 AM #1
Newbie
Joined
Jan 2009
Posts
23
To buy or not to buy?
Chaotic Industries is considering an investment in a fleet of 10 delivery vans to take its products to customers. The vans will cost $15,000 each to buy, payable immediately. The annual
maintenance... | 5 | [
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derivative of arctan2x^1/2
November 21st 2011, 01:57 PM
Barthayn
derivative of arctan2x^1/2
[QUOTE=Quacky;694202]Let's see.
$y = \sqrt{arctan2x}$
$y^2 = arctan2x$
$tany^2 = 2x$
$\frac {dy}{dx} * sec^2y^2$$tany^2 = 2$
How do I differentiate from here? I get $\frac {dy}{dx} = \frac {1}{4x^3+x... | 5 | [
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Patent US7912073 - Synchronizing multiple data converters
TECHNICAL FIELD
Embodiments in accordance with the present invention relate to data converters, and more specifically, to synchronizing multiple-phase data converters.
BACKGROUND
High-speed data converters such as analog to digital converters (ADCs) and digit... | 4 | [
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-0.03930664... | 27,840 | 27840 | |
LinAlg - just one more question!
November 15th 2008, 12:12 PM
eiktmywib
LinAlg - just one more question!
sorry for starting two new threads... i don't know how to combine them!
A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the gro... | 5 | [
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... | 27,841 | 27841 | |
Newtons Method for Approximating Roots
March 22nd, 2009, 06:28 AM #1
Member
Join Date
Feb 2009
Location
USA
Posts
68
Hi, i have this method here that approximates square roots. I was wondering what ppl thought about it and whether it is following a correct algorithm. It seems to work good and gave p... | 4 | [
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0.0072021484375,
-0.02062988... | 27,842 | 27842 | |
Help with Heat Equation with nonhomogeneous boundary conditions
November 13th 2010, 12:39 AM
11rdc11
Help with Heat Equation with nonhomogeneous boundary conditions
So I'm not sure how to start on this problem.
$u_{t} = u_{xx} +1$
$u(0,t) = 1 ; u_{x}(1,t) = 0$
$u(x,0)=1$
$t>0; 0<x<1$
Where... | 5 | [
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... | 27,843 | 27843 | |
the encyclopedic entry of over born
In
quantum chemistry
, the computation of the energy and
wavefunction
of an average-size
molecule
is a formidable task that is alleviated by the
Born-Oppenheimer (BO) approximation
. For instance the
benzene
molecule consists of 12 nuclei and 42 electrons. The
time indepen... | 4 | [
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-0.0393066... | 27,844 | 27844 | |
Math Help
January 12th 2010, 02:55 PM #1
Newbie
Joined
Jan 2010
Posts
19
Volume
I'm having a lot of problems with these questions.
Volume of the region enclosed by y^2=4x and y=x about the line x=4
I can graph it, but I can't set up the integral.
Another one is "The base of a solid is a t... | 5 | [
0.076171875,
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0.0291748046875,
-0.017... | 27,845 | 27845 | |
The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 362985, 10 pages
http://dx.doi.org/10.1155/2014/362985
Research Article
The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation
Department o... | 5 | [
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-0.05932617... | 27,846 | 27846 | |
Financial Linear Programming assignment-need help here....
August 5th 2008, 08:05 PM #1
Newbie
Joined
Aug 2008
Posts
6
Financial Linear Programming assignment-need help here....
A company invests in short-term trade credits (TC), corporate bonds (CB), gold stocks (GS) and construction loans (CL). To enco... | 5 | [
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-0.0... | 27,847 | 27847 | |
Not Understanding Proof for Derivative.
January 13th 2011, 12:35 AM #1
Newbie
Joined
Sep 2010
Posts
8
Not Understanding Proof for Derivative.
If y' = f'(x)
Then y = f(x) in one integral.
Now Let g(x) be any other integral in y' = f'(x) that is g'(x) = f'(x). Show that g(x) can differ from f(x) by... | 4 | [
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0.073... | 27,848 | 27848 | |
maximize profit word problems, yikes
March 24th 2009, 08:39 AM #1
Newbie
Joined
Mar 2009
Posts
2
maximize profit word problems, yikes
Everyone's favorite type of math question, word problems
After working on these for a few hours and getting nowhere! I even tried having my brother help me
1. (B... | 4 | [
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0.028564453125,
-0.02... | 27,849 | 27849 | |
Point of intersection of a line with plane
November 2nd 2008, 06:28 AM #1
Point of intersection of a line with plane
Find the coordinates of the point where the line $x = 2 - 3t$, $y = 1 + t$, $z = 4 - t$intersects the plane $2x - 3y + z = -16$
Please explain the solution with the logic behind it.
Just ... | 4 | [
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0.011718... | 27,850 | 27850 | |
Probability distribution table. Getting wrong values for X but can't find reason.
March 25th 2011, 07:30 AM #1
Junior Member
Joined
Jan 2011
Posts
35
Probability distribution table. Getting wrong values for X but can't find reason.
hello again.
I have a problem with this question about a probability... | 4 | [
0.0791015625,
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0.06982421875,
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-0.055908203125,
... | 27,851 | 27851 | |
On a System of Generalized Mixed Equilibrium Problems Involving Variational-Like Inequalities in Banach Spaces: Existence and Algorithmic Aspects
Advances in Operations Research
Volume 2012 (2012), Article ID 843486, 18 pages
http://dx.doi.org/10.1155/2012/843486
Research Article
On a System of Generalized Mixed Equi... | 4 | [
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0.00168609619140625,
0.0074462890625,
0.06005859375,
-0.0349... | 27,852 | 27852 | |
Multilinear Singular Integrals and Commutators on Herz Space with Variable Exponent
ISRN Mathematical Analysis
Volume 2014 (2014), Article ID 626327, 10 pages
http://dx.doi.org/10.1155/2014/626327
Research Article
Multilinear Singular Integrals and Commutators on Herz Space with Variable Exponent
^1Department of Mat... | 5 | [
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If 25 lines are drawn in a plane such that no two of them
Author Message
TAGS:
If 25 lines are drawn in a plane such that no two of them [#permalink] 06 Dec 2007, 05:04
3
... | 4 | [
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Some Properties of the Sequence Space
Journal of Operators
Volume 2013 (2013), Article ID 904838, 7 pages
http://dx.doi.org/10.1155/2013/904838
Research Article
Some Properties of the Sequence Space
School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir 182 320, India
Received 29 March 2... | 5 | [
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-0.0027923583984375,
-0.017822265625,
-0.01806640625,
-0.000082969665527343... | 27,855 | 27855 | |
Joint Probability Function
October 11th 2008, 05:47 AM
brd_7
Joint Probability Function
Let X and Y have joint probability density function
fX,Y(x,y) = x+y, for 0 <=x<= 1, o<=y<=1
0, otherwise
How do i go about determining the corr(X,Y)?
Could someone outline the steps please.. Any help would ... | 5 | [
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-0.025146484375,
0.00531005859375,
-0.0155029296875,
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0.00058746337890625,
-0.02294921875,
-0.0810... | 27,856 | 27856 | |
automorphisms
November 29th 2009, 10:05 AM
Sampras
automorphisms
Suppose $E = \mathbb{Q}(\sqrt{2}, \sqrt{3})$. Does the map defined by $\sigma(a+b \sqrt{2} + c \sqrt{3}+d \sqrt{6}) = a+ b\sqrt{2}-c \sqrt{3}- d \sqrt{6}$ leave something fixed?
First of all, $E = \mathbb{Q}(\sqrt{2}, \sqrt{3})$ is the set $\m... | 5 | [
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Vector, Parametrics help
March 30th 2010, 06:00 PM #1
Junior Member
Joined
Oct 2009
Posts
30
A particle moves in the plane in such a manner that its coordinates at time t are:
x=3cos((pi/4)t)
y=5sin((pi/4)t)
a)Find the length of the velocity vector at t=3
b)find the x- and y- components o... | 4 | [
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factoring a trig function
May 2nd 2009, 01:30 PM #1
Member
Joined
Nov 2008
Posts
184
factoring a trig function
I can do the basic ones, but when they have a coefficient in front of the first term I dont know what to do.
$2cos^2x-7cosx-3$
I thought maybe you do
(2cosx-1)(cosx-3)
Edit nev... | 4 | [
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... | 27,859 | 27859 | |
Easy integral?
$(e^{\cos(x)} \sin( \sin(x) ))'=-\sin x \,e^{\cos x}\sin(\sin x)+e^{\cos x}\cos(\sin x) \cos x$$=e^{\cos x}\left(\cos(\sin x)\cos x-\sin x\,\sin(\sin x)\right)=$... $e^{\cos x}\cos(x+\sin x)$ !! Oh,
dear hollie mollie: yes, it is! A question: how did you come up with it? Some program or some insight? Ton... | 5 | [
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Calc III/Vector Calculus problems (moving particles in space curves)
February 21st 2011, 01:55 PM #1
Junior Member
Joined
Dec 2010
Posts
30
Calc III/Vector Calculus problems (moving particles in space curves)
"Two particles travel along the space curves
$<br /> r_1(t)=<t,t^2,t^3>$ and $<br /> r_2(t)=... | 5 | [
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Another confusing integration question
February 4th 2010, 07:31 PM #1
Junior Member
Joined
Jan 2010
Posts
72
Another confusing integration question
$<br /> \int e^{2 x} \sin ( 6 x ) dx<br />$
I've tried subbing in both variables for u and dv using integration by parts, it only gets more complicated, ... | 5 | [
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Bacteria and martingale
January 13th 2010, 11:25 AM #1
Junior Member
Joined
Nov 2009
Posts
57
Bacteria and martingale
Let $N_n$, $n\geq 1$ be the size of a population of bacteria at time step n. At each step each bacteria produces a number of offspring and dies. The number of offspring is independent for... | 5 | [
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Solving a system of equations?
http://i52.tinypic.com/2ug14c0.jpg Here is a picture of the problem. It gives me a headache haha
Have you considered transforming to get rid of the logs? Hint: $10^{log(8)} = 8$ Before transforming, you should worry about Domain issues. Don't lose track of these: x + y > 0 x - y > 0 Note... | 4 | [
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distrubition type
1. January 23rd 2009, 08:16 AM #1
2. February 17th 2009, 11:05 PM #2
I cannot read that scan.
I bet I can answer your questions if you would retype it for me.
It looked like a linear combination of normals and also squares of normals, creating Chi-Square rvs.
If s... | 5 | [
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Talk:99 questions/31 to 41
From HaskellWiki
Hi,
there are several problems with the solution to 35, given from "Another possibility is .." on.
First: The signature of primefactors is Integer -> [Integer]. That means, the function is designed to work on integers larger than 2^32. (a reasonable task now, when ghc out... | 4 | [
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-0.0... | 27,866 | 27866 | |
the encyclopedic entry of Pairwise relatively prime
In
mathematics
, especially
number theory
, a set of
integers
is said to be
pairwise coprime
(or
pairwise relatively prime
, also known as
mutually coprime
) if every pair of integers
a
and
b
in the set are
coprime
(that is, have no common
divisors
... | 4 | [
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0.0032348... | 27,867 | 27867 | |
Queueing Problem Help plz
March 4th 2007, 03:30 AM #1
Newbie
Joined
Feb 2007
Posts
23
Queueing Problem Help plz
We have a supermarket with customers coming with a mean rate of 60 per hour.The boss pays its cashiers $6.00 per hour .The supermarket estimates the goodwill cost of a customer waiting to be
... | 5 | [
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logarithm
October 23rd 2006, 05:21 PM #1
Newbie
Joined
Oct 2006
Posts
6
logarithm
could you possibly help me out? I am stuck on two questions
the general term of an infinite sereis is tn= ( pie square) (3/11)^ n+1. how many terms must be added to reach a sum that is greater than 0.32?
t1 = (pie s... | 5 | [
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0.0307617187... | 27,869 | 27869 | |
the encyclopedic entry of foucault-pendulum
The Foucault pendulum ("foo-KOH"), or Foucault's pendulum, named after the French physicist Léon Foucault, was conceived as an experiment to demonstrate the rotation of the Earth.
The experiment
The experimental apparatus consists of a tall
pendulum
free to
oscillate
in... | 4 | [
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Integral Equation-Wavelet Collocation Method for Geometric Transformation and Application to Image Processing
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 798080, 17 pages
http://dx.doi.org/10.1155/2014/798080
Research Article
Integral Equation-Wavelet Collocation Method for Geometric Transformation a... | 4 | [
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trigonometric equation solve
April 30th 2008, 01:46 PM
sux@math
trigonometric equation solve
Are solving & proving the same thing? My book has a method for "proving" using either the quotient identity or pythagorean identity - you know that whole, LS=RS stuff.
Earlier, though there is a method for "solving"... | 4 | [
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maximal ideal question
February 10th 2011, 06:20 AM #1
Junior Member
Joined
Feb 2010
Posts
42
maximal ideal question
Conser Z[x] = {all polynomials with integer coefficients} and I={f(x) in Z[x] such that f(0) is even} Note: I = <x,2>
I have already shown that I = <x,2>
Now I must show whether ... | 4 | [
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An Alternating Direction Method for Mixed Gaussian Plus Impulse Noise Removal
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 850360, 11 pages
http://dx.doi.org/10.1155/2013/850360
Research Article
An Alternating Direction Method for Mixed Gaussian Plus Impulse Noise Removal
School of Mathematical Scien... | 4 | [
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Discuss the convergence of the series
January 4th 2010, 07:34 PM
flintstone
Discuss the convergence of the series
I have tried the ratio test and the comparison test but still i am unable to get the result
Question : Discuss the convergence of the infinite series $\sum_{n=1}^{\infty} \frac{3n}{4(n+1)}$
... | 5 | [
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IK with Quaternion Joint Limits (from The Inner Product)
The Inner Product, April 2002
... | 4 | [
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0.087890625,... | 27,876 | 27876 | |
Find All of X
Find all of x for which x^3-x^2-x+1 ----------------- = 0 x^3-x^2+x-1
So long as the denominator isn't 0 for a particular value of x this equation may as well read x^3 - x^2 - x + 1 = 0 (Just multiply both sides by x^3 - x^2 + x - 1) Just for reference when does x^3 -
x^2 + x - 1 = 0? Let's apply the Rat... | 4 | [
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-0.015380... | 27,877 | 27877 | |
Learning Kernels SVM
September 25, 2012
By quantsignals
Machine Learning and Kernels
A common application of machine learning (ML) is the learning and classification of a set of raw data features by a ML algorithm or technique. In this context a ML kernel acts to the ML algorithm
like sunshades, a telescope or a ma... | 5 | [
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Type I error rates in test of normality by simulation
February 26, 2014
By Andrew Z
This simulation tests the type I error rates of the Shapiro-Wilk test of normality in R and SAS.
First, we run a simulation in R. Notice the simulation is vectorized: there are no "for" loops that clutter the code and slow the simul... | 5 | [
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-0.0155029296875... | 27,879 | 27879 | |
Intro to Integrals
January 7th 2010, 10:16 PM #1
Newbie
Joined
Oct 2009
Posts
10
Intro to Integrals
Hi,
I'm stressing out because I've been on this problem for hours and I'm still getting nowhere.
The question asks:
"""
Let R denote the region that lies below the graph of $f(x)=2+4x^2$ o... | 4 | [
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0.0751953125... | 27,880 | 27880 | |
Finding Expected Value and Standard deviation...Help please :(
December 4th 2008, 04:04 PM #1
Newbie
Joined
Dec 2008
Posts
1
Finding Expected Value and Standard deviation...Help please :(
The question has a table that contain shows the approximate number of males of Hispanic origin employed in the U.S. i... | 5 | [
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I don't even know where to start...
November 19th 2012, 09:01 PM
theunforgiven
I don't even know where to start...
I've always enjoyed Algebra/Calculus. I wish I could say the same about problems. (Crying) Lately, I've been trying to improve my work problem solving skills, but I always find myself in need of
... | 5 | [
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Nonsmooth Adaptive Control Design for a Large Class of Uncertain High-Order Stochastic Nonlinear Systems
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 808035, 21 pages
http://dx.doi.org/10.1155/2012/808035
Research Article
Nonsmooth Adaptive Control Design for a Large Class of Uncertain High-Ord... | 4 | [
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-0.0908203125,
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0.0244140625,
0.01611328125,
0.028564453125,
0.1162109375,
0.08056640625,
-0.1279296875,
-0.09375,
0.1103515625,
0.028564453125,
-0.015380859375,
-0.01... | 27,883 | 27883 | |
Adding Percentiles to PDQ
April 22, 2013
By Neil Gunther
Pretty Damn Quick
(PDQ) performs a mean value analysis of
queueing network models
: mean values in; mean values out. By mean, I mean
statistical mean
or average. Mean
input
values include such queueing metrics as service times and arrival rates. These co... | 5 | [
-0.04638671875,
-0.0029449462890625,
-0.040283203125,
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0.0086669921875,
-0.0040283203125,
0.0220947265625,
-0.072265625,
0.09521484... | 27,884 | 27884 | |
I solved this problem strangely?
April 5th 2008, 08:44 PM #1
I solved this problem strangely?
My problem is:
My first urn contains 10 balls, 4 red and 6 blue. My second one contains 16 red balls and some blue balls. A single ball is drawn from each urn. The probability that both balls are the same color
i... | 4 | [
0.0301513671875,
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0.0537109375,
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-0.029052734375,
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0.0732421875,
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0.051513671875,
0.00787353515625,
-0.000362396240234375,
-0.005126953125,
0.0306396484375,
0.1142578125,
0.048095703125,
0.1591796875,
-0.0625,
-0.0742187... | 27,885 | 27885 | |
Learn about One Step Equations and Their Applications
Learn about One Step Equations and Their Applications In this lesson, we will learn how to solve one-step equations. Equations are essentially two expressions, so I could have x+2=7, so there is one
expression on the left, one expression on the right and there is us... | 4 | [
-0.11083984375,
0.0576171875,
0.04345703125,
0.04443359375,
0.0086669921875,
-0.0267333984375,
-0.0247802734375,
0.0263671875,
0.00732421875,
0.0179443359375,
0.050048828125,
-0.038330078125,
0.05712890625,
0.055419921875,
0.004547119140625,
0.003082275390625,
-0.11669921875,
0.112... | 27,886 | 27886 | |
Differentiate fuction
October 15th 2009, 10:41 AM #1
Junior Member
Joined
Sep 2009
Posts
25
Differentiate fuction
Differentiate the following function.
y ' = ?
ATTEMPT
y=x^1/2(5x-2)
= 5x^(3/2)-2x(1/2)
= (15/2)x^(1/2)-x^(-1/2)
Then from this step I am lost. So please help me ou... | 5 | [
0.00885009765625,
-0.05908203125,
0.12255859375,
-0.011474609375,
0.00592041015625,
-0.0537109375,
-0.01287841796875,
0.000759124755859375,
0.0242919921875,
0.049560546875,
0.0869140625,
-0.024658203125,
0.0098876953125,
0.052978515625,
-0.04052734375,
0.10791015625,
-0.013671875,
... | 27,887 | 27887 | |
Proof that a sum is bounded by given functions?
June 3rd 2013, 01:08 PM #1
Newbie
Joined
Jun 2013
From
montreal
Posts
10
Proof that a sum is bounded by given functions?
Hey there!
I'm really stuck on a question and i can't figure out how I should solve it.
I have a sum given by
$H_N = \... | 5 | [
-0.0118408203125,
-0.017578125,
0.0361328125,
0.05224609375,
0.06591796875,
-0.0888671875,
0.0034027099609375,
0.095703125,
-0.083984375,
0.009521484375,
-0.1337890625,
-0.032958984375,
0.044677734375,
-0.040771484375,
-0.045166015625,
0.0206298828125,
0.0233154296875,
-0.063476562... | 27,888 | 27888 | |
Homework Help
Posted by H on Sunday, December 5, 2010 at 5:36pm.
An observer 2 km from the launching pad observes a vertically ascending missile at an angle of elevation of 21 degrees. 5 seconds later the nagle has increased to 35 degrees. What was its average
speed during this interval? If it keeps going vertically a... | 4 | [
-0.0128173828125,
0.07177734375,
0.08447265625,
-0.028076171875,
0.021484375,
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0.0703125,
-0.004638671875,
0.050537109375,
0.072265625,
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0.0115966796875,
0.00201416015625,
-0.03564453125,
0.0301513671875,
-0.00830078125,
0.0402832031... | 27,889 | 27889 | |
the encyclopedic entry of Linear_span
In the
mathematical
subfield of
linear algebra
, the
linear span
, also called the
linear hull
, of a
set
of
vectors
in a
vector space
is the
intersection
of all
subspaces
containing that set. The linear span of a set of vectors is therefore a vector space.
Defin... | 4 | [
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-0.04248046875,
0.011474609375,
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0.036865234375,
0.00628662109375,
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-0.1015625,
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0.0013580322265625,
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-0.0076904296875,
-0.11474609375,
-0.047119140625,
-0.004241943359375,
... | 27,890 | 27890 | |
All matrix such that A^2 = A?
October 11th 2010, 02:03 PM #1
Junior Member
Joined
Oct 2008
Posts
65
All matrix such that A^2 = A?
The matrix A = [[a, i][i, b]], where i^2 = -1, a = (1/2)(1 + sqrt(5)) and
b = (1/2)(1 - sqrt(5)) has the property that A^2 = A. Describe all 2 X 2 matrices A with complex ... | 5 | [
-0.034912109375,
-0.007659912109375,
-0.0299072265625,
-0.0228271484375,
-0.087890625,
-0.091796875,
-0.04296875,
-0.09375,
0.01513671875,
0.003173828125,
0.00433349609375,
0.039306640625,
-0.0169677734375,
0.0830078125,
-0.0322265625,
0.06689453125,
-0.00445556640625,
-0.010864257... | 27,891 | 27891 | |
Homework Help
Posted by Tish on Thursday, February 10, 2011 at 2:51am.
The number of tickets sold each day for an upcoming performance is given by N(x)=-0.5x^2+12x+13, where x is the number of days since the performance was first announced. When will daily ticket sales
peak and how many tickets will be sold that day?
... | 4 | [
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0.049560546875,
0.0250244140625,
0.044921875,
-0.0289306640625,
-0.0683... | 27,892 | 27892 | |
Boolean algebra,isomorphism
August 16th 2012, 11:46 AM #1
Junior Member
Joined
Aug 2011
Posts
30
Boolean algebra,isomorphism
Let (B[1],+,*,^c) is Boolean algebra where B[1] is set of every positive dividers of 2310, in which are defined:x+y = lcm(x,y), x*y = gcd(x,y) and x^c = 2310/x.
Let (B[2],∩,∪,^... | 5 | [
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0.053466796875,
-0.059814453125,
0.00... | 27,893 | 27893 | |
Prove if a is a primitive root mod p^2, then it is a primitive root mod p
February 27th 2011, 05:30 PM #1
Member
Joined
Sep 2008
Posts
79
Prove if a is a primitive root mod p^2, then it is a primitive root mod p
Prove that if a is a primitive root mod p^2, then it is a primitive root mod p.
I have ... | 4 | [
0.041015625,
0.08056640625,
0.03759765625,
0.03173828125,
0.032958984375,
-0.0169677734375,
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0.00457763671875,
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0.0206298828125,
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0.083984375,
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0.048828125,
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-0.015380859375,
-0.030517578125,
0.035156... | 27,894 | 27894 | |
Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 469863, 8 pages
http://dx.doi.org/10.1155/2012/469863
Research Article
Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations
^1School of Mathematics... | 5 | [
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-0.00213623046875,
0.017333984375,
-0.115234375,
... | 27,895 | 27895 | |
the encyclopedic entry of Gibbs Constant
In
mathematics
, the
Gibbs phenomenon
(also known as
ringing artifacts
), named after the American physicist
J. Willard Gibbs
, is the peculiar manner in which the
Fourier series
of a
piecewise
continuously differentiable
periodic function f
behaves at a
jump disc... | 5 | [
-0.099609375,
-0.0556640625,
0.029052734375,
0.01336669921875,
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0.00064849853515625,
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0.0026397705078125,
0.042236328125,
-0.02294921875,
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0.08935546875,
0.0169677734375,
-0.06787109375,
-0.00084686279296875,
-0.0625,
0.0196533203125,... | 27,896 | 27896 | |
What is the reason for Gravity ?
praveen
...
i read some physics in my Engineering education days. Surprisingly, i am getting more & more attracted to Physics , particularly astrophysics ( relativity ,...etc ).
I read that earth has gravity G with certain value. Per Einstein, space is curved with presence of Huge obj... | 4 | [
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-0.06494140625,
-0.0283203125,
0.0... | 27,897 | 27897 | |
Integral coefficients
June 27th 2010, 02:31 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Integral coefficients
Let $f(x)$ be a polynomial with integral coefficients and $a\equiv b \ \mbox{(mod m)}$. Then $f(a)\equiv f(b) \ \mbox{(mod m)}$.
It make since that if a, ... | 4 | [
-0.0712890625,
0.054443359375,
-0.0576171875,
0.003265380859375,
-0.0076904296875,
0.017822265625,
0.0546875,
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0.015625,
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0.08349609375,
0.0322265625,
0.033935546875,
0.08056640625,
-0.0546875,
0.08740234375,
-0.0698... | 27,898 | 27898 | |
the encyclopedic entry of four-color problem
The four color theorem (also known as the four color map theorem) states that given any plane separated into regions, such as a political map of the states of a country, the regions may be colored
using no more than four colors in such a way that no two adjacent regions rece... | 4 | [
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0.0478515625,
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-0.0322265625,
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0.08837890625,
0.036376953125,
0.01153564453125,
0.01068115234375,
-0.0703125,
-0.025390625,
-0.... | 27,899 | 27899 |