My Math Forum Integration and expansion
 User Name Remember Me? Password

 Calculus Calculus Math Forum

 November 13th, 2010, 04:45 AM #1 Member   Joined: Jun 2010 Posts: 80 Thanks: 0 Integration and expansion I have 2 problems, a) a function f(x,t) should be expanded in $\sum_{mn} a_mn*g_m(x)*h_n(t)$ or is it sufficient as $\sum_{m}g_m(t)*h_m(t)$ ? a) if I can write functions $f_i(t)=\int(a_i(t,p)dp$ is it possible to write f1(t)f2(t) as integral of the previous function, like : $f_1(t)f_2(t)=\int(a_1(t,p)a_2(t,p)dp$, or double integral ?
 November 13th, 2010, 06:08 AM #2 Senior Member     Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14 Re: Integration and expansion a)I don't know what you want to do, orthogonal decomposition or something else? b)Obviously not.
 November 19th, 2010, 01:55 AM #3 Member   Joined: Jun 2010 Posts: 80 Thanks: 0 Re: Integration and expansion I made a lot of mistake inside, for (a) i meant how to write generally the basis of all the function u(x,t) ?
 November 19th, 2010, 11:41 AM #4 Newbie   Joined: Nov 2010 Posts: 13 Thanks: 0 Re: Integration and expansion Sorry, but I have a question. I can't post my problem; since I need to type some mathematical formula and I don't know how to such stuff . I want to insert integration symbol, subscript, superscript, ...etc. Thanks in advance..
 November 19th, 2010, 02:02 PM #5 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 463 Math Focus: Calculus/ODEs Re: Integration and expansion This forum allows the use of LaTex to format equations and symbols, etc. Check out this topic which has some useful links.
 November 20th, 2010, 02:15 PM #6 Member   Joined: Jun 2010 Posts: 80 Thanks: 0 Re: Integration and expansion Well we could see as a complete Fourier transformation in k,omega, but I don't know why, physically, a "time-basis" seems a bit "naive", in the sense the future always remains hidden ?
 November 21st, 2010, 02:53 PM #7 Senior Member     Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14 Re: Integration and expansion There will allways be some cost (loss of energy or power etc.) doing a), even the function can be decomposed by the Fourier transform.

 Tags expansion, integration

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post MATHEMATICIAN Number Theory 5 September 4th, 2013 06:53 AM apoorva Algebra 4 April 26th, 2013 10:20 PM hoyy1kolko Probability and Statistics 6 December 7th, 2010 04:45 PM davedave Algebra 1 November 19th, 2009 09:11 PM Sarge99 Algebra 4 October 15th, 2009 05:51 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top