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Society and Social sciences

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14 items for Category:Society and Social sciences
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How to prove e^At e^(-At_0) = e^A(t-t_0)?

Given that A is a matrix, I would like to ask how to show:

Thank you very much.

sciencolic 26 Aug 10 |2 answers
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This post has a impact factor of 96 and 1134 pageviews

How to solve (2x+1)^2 y'' -2 (2x+1) y' +4 y = 0?

I would like to know how to solve the following differential equation (you may refer to this post for the original question):

Thank you very much.

sciencolic 19 Aug 10 |1 answer
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Sum of subsets with k elements having a total sum of r

This question is a mirror of the question Sum of subsets which I found interesting. The problem is like this:

Let , how many subsets with k elements that are having the sum of value r?

For instance, if n = 6, k = 3, r = 10:

The following sets: ...

sciencolic 19 Aug 10 |1 answer
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Vertical-align not working for DIV

Why vertical-align:middle don't work for DIV? Any ideas?

I just want to align some text vertically middle. Any work around?

randomguy 08 Aug 10
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How to prove e^(A+B)= e^-lambda/2 e^A e^B?

I wanted to prove:

  if .

using first principle, but without any success. Can anyone help me, and show me the detail steps?

sciencolic 12 Jul 10 |1 answer
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Non-standard URL for Python urllib2.urlopen

I am using

to retrieve HTML pages. It require a standard "http://www.blahblahblah.com" syntax in order to work. However, sometimes the url input may be in the form of "www.blahblahblah.com" or "blahblahblah.com", which should be able to work in web browser but not urllib2.urlopen.  My question is: Are there a simple way to convert these non-standard URLs to the standard ones? Thanks. ...

georgewu 09 Jul 10
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How to solve this 2nd-order linear differential equation?

This equation is an inhomogeneous version of the equation in this post.

How to solve this equation:

sciencolic 26 Jun 10 |1 answer
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How to find the integral of 1/(x^N+a)?

This question is inspired by this post.

Compute:

where a is any complex number, while N is a positive integer.

I know that the solution can be written as: ...

sciencolic 21 Jun 10 |1 answer
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How to use the output from Mathematica function DSolve?

It is a forward of question in this post.

I used the following code to solve a differential equation:

I would like to make a function out of the output. But I have no idea how to do that. Thank you.

sciencolic 18 Jun 10 |1 answer
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Why do I get imaginary value for radius from equation of circle in polar coordinate?

This question is a forward from this post.

I am using the equation below as equation of circle in polar coordinate.

Here, R is the distance between the origin and the centre of the circle, A is the radius ...

sciencolic 17 Jun 10 |1 answer