Hi Aaron, I have a doubt .
Do we want: integrate(f(x)*DiracDelta(x, n), (x, -oo, oo)) would output as [image: Inline image 1] Regards Sampad Kumar Saha Mathematics and Computing I.I.T. Kharagpur On Wed, Mar 9, 2016 at 3:11 AM, Aaron Meurer <asmeu...@gmail.com> wrote: > DiracDelta(x, k) gives the k-th derivative of DiracDelta(x) (or you > can write DiracDelta(x).diff(x, k)). > > It does look like the delta integrate routines could be improved here, > though: > > In [2]: integrate(f(x)*DiracDelta(x), (x, -oo, oo)) > Out[2]: f(0) > > In [3]: integrate(f(x)*DiracDelta(x, 1), (x, -oo, oo)) > Out[3]: > ∞ > ⌠ > ⎮ f(x)⋅DiracDelta(x, 1) dx > ⌡ > -∞ > > Since the integration rules for derivatives of delta functions are > simple extensions of the rules for the delta function itself, this is > probably not difficult to fix. > > Aaron Meurer > > On Mon, Feb 29, 2016 at 3:39 AM, Tim Lahey <tim.la...@gmail.com> wrote: > > Hi, > > > > Singularity functions are actually extremely easy to implement given > that we have a Dirac delta and Heaviside functions. Assuming that the Dirac > delta and Heaviside functions properly handle calculus, it’s trivial to > wrap them for use as singularity functions. The only thing that will need > to be added is the derivative of the Dirac delta (assuming it’s not already > there). I implemented singularity functions in Maple in less than an > afternoon. > > > > I was a TA for a Mechanics of Deformable Solids course about 11 or 12 > times and wrote it to help the students (as we have a site license for > Maple). I also wrote a set of lecture notes on the topic. > > > > Cheers, > > > > Tim. > > > >> On Feb 26, 2016, at 4:29 PM, SAMPAD SAHA <sampadsa...@gmail.com> wrote: > >> > >> Hi Jason, > >> > >> Thank you for the explanation. It really helped me. > >> > >> So, basically we want to start it, firstly, by creating a module which > would deal with the mathematical operations performed on Singularity > Functions. After this whole module is prepared, we would focus on how to > use this module for solving beam problems. Am I correct? > >> > >> Can you please explain me in brief that what are the mathematical > operations we wanted to implement on that module? > >> > >> > >> On Friday, February 26, 2016 at 4:54:59 PM UTC+5:30, SAMPAD SAHA wrote: > >> > >> Hi, > >> > >> I am Sampad Kumar Saha , an Undergraduate Mathematics and Computing > Student at I.I.T. Kharagpur. > >> > >> I have gone through the idea page and I am interested in working on the > project named Singularity Function. > >> > >> By going through the Idea, I understood that we want to add a package > to Sympy which can be used for for solving beam bending stress and > deflection problems using singularity function. Am I correct? > >> > >> We can by this way:- > >> While solving we will be having the moment function as an input which > we can arrange in the form of singularity functions and then integrate it > twice to get the deflection curve and we can give the plot or the equation > obtained of deflection curve as an output. > >> > >> I have gone through some documents available on internet which have > brief studies on solving beam bending stress and deflection problems using > singularity functions. > >> > >> References:- > >> • Beam Deflection By Discontinuity Functions. > >> • Beam Equation Using Singularity Functions. > >> • Enhanced Student Learning in Engineering Courses with CAS > Technology. > >> Since there is just a brief idea given in the idea page, I have a doubt > that what are the things other than solving beam bending stress and > deflection problems to be implemented in the project? > >> > >> Any type of suggestions are welcome. > >> > >> > ========================================================================================================================================== > >> Regards > >> Sampad Kumar Saha > >> Mathematics and Computing > >> I.I.T. 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