Yes, it would be nice if simplify worked with singularity funcs.
Jason moorepants.info +01 530-601-9791 On Tue, Mar 15, 2016 at 8:27 AM, SAMPAD SAHA <sampadsa...@gmail.com> wrote: > Jason, > > Do we expect `simplify` ( a method under SingularityFunction class) to > give output like this: > > In [ ] : F = singularityFunc(x, 0, 1) + singularityFunc(x, 3, 2) > > In [ ] : F > > 2 > Out [ ] : <x> + <x - 3> > > > In [ ] : simplify(F) > > Out [ ] : > > 0 for x < 0 > x for 0 <= x < 3 > x + (x-3)^2 for x >= 3 > > > I think this would be cool implementation. > > -------------------- > Regards > Sampad > > > > > Regards > Sampad Kumar Saha > Mathematics and Computing > I.I.T. Kharagpur > > On Mon, Mar 14, 2016 at 12:46 PM, SAMPAD SAHA <sampadsa...@gmail.com> > wrote: > >> >> >> ---------- Forwarded message ---------- >> From: *SAMPAD SAHA* <sampadsa...@gmail.com> >> Date: Monday, March 14, 2016 >> Subject: [sympy] GSoC 2016: Singularity Functions >> To: sympy@googlegroups.com >> >> >> Hi Jason, >> >> I have a confusion regarding the user inputs for the beam problems. >> >> I think that we should take only the Bending Moment Function (in the form >> of singularity functions) and the boundary conditions as inputs. >> >> I mean to say that generally in a given beam bending problem, a diagram >> of a beam and distributed loads are provided. So it is not possible to get >> these data as an user input. Rather we can expect that the user would >> formulate the bending moment function, in the form of Singularity function, >> and then provide that function as an input for getting the elastic curve >> equation. >> >> *Note:- *Values of E , I , Boundary Conditions are also expected as an >> input. >> >> I need your suggestions. >> >> >> >> ----------------- >> Regards, >> Sampad >> >> >> >> >> Regards >> Sampad Kumar Saha >> Mathematics and Computing >> I.I.T. Kharagpur >> >> On Sat, Mar 12, 2016 at 11:50 AM, Aaron Meurer <asmeu...@gmail.com> >> wrote: >> >>> It should give (-1)**n*f^(n)(0) (that is, (-1)**n*diff(f(x), x, >>> n).subs(x, 0)), if I remember the formula correctly. >>> >>> Aaron Meurer >>> >>> On Fri, Mar 11, 2016 at 9:00 AM, SAMPAD SAHA <sampadsa...@gmail.com> >>> wrote: >>> >>>> 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. Kharagpur >>>>> >> >>>>> >> -- >>>>> >> You received this message because you are subscribed to the Google >>>>> Groups "sympy" group. >>>>> >> To unsubscribe from this group and stop receiving emails from it, >>>>> send an email to sympy+unsubscr...@googlegroups.com. >>>>> >> To post to this group, send email to sympy@googlegroups.com. >>>>> >> Visit this group at https://groups.google.com/group/sympy. >>>>> >> To view this discussion on the web visit >>>>> https://groups.google.com/d/msgid/sympy/7cbe2101-fd59-484b-9e25-f563636d6366%40googlegroups.com >>>>> . >>>>> >> For more options, visit https://groups.google.com/d/optout. >>>>> > >>>>> > -- >>>>> > You received this message because you are subscribed to the Google >>>>> Groups "sympy" group. >>>>> > To unsubscribe from this group and stop receiving emails from it, >>>>> send an email to sympy+unsubscr...@googlegroups.com. >>>>> > To post to this group, send email to sympy@googlegroups.com. >>>>> > Visit this group at https://groups.google.com/group/sympy. >>>>> > To view this discussion on the web visit >>>>> https://groups.google.com/d/msgid/sympy/1795A385-4AEA-44FD-BEE8-8115D53DA14B%40gmail.com >>>>> . >>>>> > For more options, visit https://groups.google.com/d/optout. >>>>> >>>>> -- >>>>> You received this message because you are subscribed to the Google >>>>> Groups "sympy" group. >>>>> To unsubscribe from this group and stop receiving emails from it, send >>>>> an email to sympy+unsubscr...@googlegroups.com. >>>>> To post to this group, send email to sympy@googlegroups.com. >>>>> Visit this group at https://groups.google.com/group/sympy. >>>>> To view this discussion on the web visit >>>>> https://groups.google.com/d/msgid/sympy/CAKgW%3D6JiW6zhx%3DcTahjcugKaR3jOTrYOnFJWYRr-%2BNiS-2zcLQ%40mail.gmail.com >>>>> . >>>>> For more options, visit https://groups.google.com/d/optout. >>>>> >>>> >>>> -- >>>> You received this message because you are subscribed to the Google >>>> Groups "sympy" group. >>>> To unsubscribe from this group and stop receiving emails from it, send >>>> an email to sympy+unsubscr...@googlegroups.com. >>>> To post to this group, send email to sympy@googlegroups.com. >>>> Visit this group at https://groups.google.com/group/sympy. >>>> To view this discussion on the web visit >>>> https://groups.google.com/d/msgid/sympy/CANzav4HrH7YbrOm4%3D9s2%2BHevCnCv4vz1RbuU%2BZWwLWLnCZpbcw%40mail.gmail.com >>>> <https://groups.google.com/d/msgid/sympy/CANzav4HrH7YbrOm4%3D9s2%2BHevCnCv4vz1RbuU%2BZWwLWLnCZpbcw%40mail.gmail.com?utm_medium=email&utm_source=footer> >>>> . >>>> >>>> For more options, visit https://groups.google.com/d/optout. >>>> >>> >>> -- >>> You received this message because you are subscribed to the Google >>> Groups "sympy" group. >>> To unsubscribe from this group and stop receiving emails from it, send >>> an email to sympy+unsubscr...@googlegroups.com. >>> To post to this group, send email to sympy@googlegroups.com. >>> Visit this group at https://groups.google.com/group/sympy. >>> To view this discussion on the web visit >>> https://groups.google.com/d/msgid/sympy/CAKgW%3D6KrEOoZ-CvGJ_HTBVSpTLVkW6geUfvXdP8GAiBNO4y8qQ%40mail.gmail.com >>> <https://groups.google.com/d/msgid/sympy/CAKgW%3D6KrEOoZ-CvGJ_HTBVSpTLVkW6geUfvXdP8GAiBNO4y8qQ%40mail.gmail.com?utm_medium=email&utm_source=footer> >>> . >>> >>> For more options, visit https://groups.google.com/d/optout. >>> >> >> >> >> >> -- >> Regards >> Sampad Kumar Saha >> Mathematics and Computing >> I.I.T. Kharagpur >> >> > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at https://groups.google.com/group/sympy. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/CANzav4HzA3vObqax9d4GJaW%2BYbs1z0ME2m4-wgs0EAFW9wnCqw%40mail.gmail.com > <https://groups.google.com/d/msgid/sympy/CANzav4HzA3vObqax9d4GJaW%2BYbs1z0ME2m4-wgs0EAFW9wnCqw%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. 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