I think I understand your example. But unless I'm missing something, this doesn't seem like it would be that hard to do, especially since the hard work of the integration algorithms is already done. My main concern is if this enough work for a GSoC project (so far, it sounds like just a single pull request). But maybe I missed something.
Aaron Meurer On Wed, Mar 27, 2013 at 12:29 AM, Amit Jamadagni <bitsjamada...@gmail.com> wrote: > The main class would be > class IntegralTranforms(Function) > def generaltransform(parameters would be two functions) > > //algo for computing wrt to the input kernel > intergrate(f(x)*K(a,x)) > > if (kernel = Fourier) > call Fourier Transform > > and similarly for other kernels. > > def prop(input : kernel function) > check (Fourier or not) > check (Millin or not) > check (symmetric) > check asymmetic) > > Similarly other properties. > > I know it is vague and I am still working on it and this is an idea of > making it general.I hope it was clear.Thanks. > > On Wed, Mar 27, 2013 at 5:06 AM, Aaron Meurer <asmeu...@gmail.com> wrote: >> >> I'm still not clear what exact things this module would compute. Can you >> give some example pseudocode of what the final module might look like? >> >> Aaron Meurer >> >> On Mar 26, 2013, at 4:22 PM, Amit Jamadagni <bitsjamada...@gmail.com> >> wrote: >> >> As per my understanding goes we have the cases where the kernel is >> specific to certain transforms. >> So here the basic math behind the theory is as follows : >> >> I[f(a)] = integral(f(x).k(a,x)) where k(a,x) is the kernel. >> >> So the most general case would be giving a function of two variables and >> the function to be transformed. >> >> So applying conditions on the kernel would end up in different transform >> spaces . >> For example the Fourier Kernel . >> >> It is symmetric kernel the kernels which result in same effect on >> interchanging k(a,x) and I[f(a)]. This is the base but by using this we end >> up with a condition on k(a,x) in mellins space >> >> where in k(a,x) is a fourier kernel if mellins transform of k(s) (where s >> is some variable) is some K(s) then it should satisfy K(s).K(1-s) = 1. >> >> This can be even extended to asymmetric kernels.I am still in the process >> of learning and this is the basic framework I would like to develop upon. >> >> This implementation may not cater to the needs of a GSoC project.So my >> idea was to implement this and improve the spin module as suggested >> earlier.Is this valid and if so as the implementation of both is medium can >> I include both in the proposal so that it would end up being a long >> project.Hope I was clear in delivering my idea across.Thanks. >> >> On Wed, Mar 27, 2013 at 1:41 AM, Aaron Meurer <asmeu...@gmail.com> wrote: >>> >>> Can you give a specific example of the sort of thing that the integral >>> transformations code might be able to do? >>> >>> Aaron Meurer >>> >>> On Mon, Mar 25, 2013 at 1:00 AM, Amit Jamadagni <bitsjamada...@gmail.com> >>> wrote: >>> > I would request someone to let me know if the above mentioned cases are >>> > possible.And is there any other requirement for SoC.Thanks. >>> > >>> > >>> > On Sun, Mar 24, 2013 at 4:37 PM, Amit Jamadagni >>> > <bitsjamada...@gmail.com> >>> > wrote: >>> >> >>> >> It would be great if someone comments on the other ideas too.Thanks. >>> >> >>> >> >>> >> On Sat, Mar 23, 2013 at 2:26 AM, Amit Jamadagni >>> >> <bitsjamada...@gmail.com> >>> >> wrote: >>> >>> >>> >>> >The dirac notation stuff is basically done. But the position and >>> >>> >momentum stuff needs a lot of work. There was a bunch of work done >>> >>> >previously and there is an open pull request that has some >>> >>> > additional >>> >>> >work. This is an important part of the code base, but just a >>> >>> > warning: >>> >>> >it is extremely difficult and you will have to have a very good >>> >>> >understanding of quantum mechanics (probably at the graduate level >>> >>> > or >>> >>> >close to it) and know python well. If you are interested in this I >>> >>> >would just start to dig into the code and the open pull request on >>> >>> > the >>> >>> >topic and see what you think needs to be done. >>> >>> >>> >>> I would like to add that it might be possible for me to understand >>> >>> (though not completely sure) but if it is a combination of some >>> >>> graduate >>> >>> maths and intermediate physics(in an attempt on reading Sakurai for >>> >>> QM) I >>> >>> can give it a try. If there can be an hint of what level of physics >>> >>> we are >>> >>> dealing with then I can decide so I would like to know a little about >>> >>> this.And I would like to know if there is an implementation of >>> >>> quantum >>> >>> related group theory (SU(2) SU(3) groups).Even though my knowledge >>> >>> about >>> >>> these is pretty elementary I would like to know whether any work is >>> >>> possible >>> >>> in this direction.Thanks. >>> >>> >>> >>> On Sat, Mar 23, 2013 at 2:03 AM, Amit Jamadagni >>> >>> <bitsjamada...@gmail.com> >>> >>> wrote: >>> >>>> >>> >>>> Thanks, for the ideas on what to implement in the respective >>> >>>> sectors.I >>> >>>> would like to know about the implementation of the first topic that >>> >>>> I >>> >>>> posted. I guess the patch requirement(pull request numbered 1834 and >>> >>>> 1900) >>> >>>> has been done so I would like to know if there is any other >>> >>>> requirement to >>> >>>> satisfy to apply for SoC. And yes I would start off as soon as >>> >>>> possible and >>> >>>> come up with something by the end this or the beginning of the next >>> >>>> month. >>> >>>> >>> >>>> >>> >>>> On Sat, Mar 23, 2013 at 1:39 AM, Brian Granger <elliso...@gmail.com> >>> >>>> wrote: >>> >>>>> >>> >>>>> Amit, >>> >>>>> >>> >>>>> Hi, welcome to SymPy! >>> >>>>> >>> >>>>> > 2.Quantum Mechanics module : >>> >>>>> > (i) Adding more features to spin section (Sean Vig has >>> >>>>> > given >>> >>>>> > a lead >>> >>>>> > on this and I am working my way out on what can be done).(Will >>> >>>>> > come >>> >>>>> > out with >>> >>>>> > some ideas by the end of the month) >>> >>>>> >>> >>>>> OK great, Sean is definitely the person to work with on the spin >>> >>>>> stuff. He would know exactly what needs to be done. >>> >>>>> >>> >>>>> > (ii) From the ideas page I find three topics interesting >>> >>>>> > but >>> >>>>> > have >>> >>>>> > to work on this to get the understanding of what is going on >>> >>>>> > Dirac Delta Notation, position and momentum basis (I >>> >>>>> > have tried >>> >>>>> > to understand the code in the pull request) symbolic quantum >>> >>>>> > computing. >>> >>>>> >>> >>>>> The dirac notation stuff is basically done. But the position and >>> >>>>> momentum stuff needs a lot of work. There was a bunch of work done >>> >>>>> previously and there is an open pull request that has some >>> >>>>> additional >>> >>>>> work. This is an important part of the code base, but just a >>> >>>>> warning: >>> >>>>> it is extremely difficult and you will have to have a very good >>> >>>>> understanding of quantum mechanics (probably at the graduate level >>> >>>>> or >>> >>>>> close to it) and know python well. If you are interested in this I >>> >>>>> would just start to dig into the code and the open pull request on >>> >>>>> the >>> >>>>> topic and see what you think needs to be done. >>> >>>>> >>> >>>>> > Even the tensor module sounds pretty interesting but my >>> >>>>> > understanding >>> >>>>> > would >>> >>>>> > be not be that mathematical as I have just used them in physics >>> >>>>> > (I >>> >>>>> > can work >>> >>>>> > upon on it). >>> >>>>> > >>> >>>>> > Coming to the background I have in the subject I have >>> >>>>> > been >>> >>>>> > doing a >>> >>>>> > course on Integral transforms back at the university and have >>> >>>>> > done a >>> >>>>> > course >>> >>>>> > in quantum computation and have been guided by the professors in >>> >>>>> > the >>> >>>>> > area of >>> >>>>> > Quantum Physics.I know this is very much not in place but I would >>> >>>>> > work on >>> >>>>> > the Quantum Physics part and would move through the code and >>> >>>>> > figure >>> >>>>> > out how >>> >>>>> > it has to be done.I would like to know your view on this topic as >>> >>>>> > there >>> >>>>> > would be medium work done to both the modules (would like to know >>> >>>>> > the >>> >>>>> > take >>> >>>>> > on the first one and is it possible to squeeze a project by >>> >>>>> > contributing >>> >>>>> > evenly to two modules rather than one (since neither both ideas >>> >>>>> > would >>> >>>>> > stand >>> >>>>> > alone as a single long project).Thanks. >>> >>>>> >>> >>>>> There is additional work to be done on the quantum computing stuff: >>> >>>>> >>> >>>>> * Quantum error correction >>> >>>>> * Quantum circuit simplification/optimization >>> >>>>> * Better circuit drawing >>> >>>>> * Use numba/cython/julia to generate fast code for simulating >>> >>>>> quantum >>> >>>>> circuits. >>> >>>>> >>> >>>>> Hope this gives you an idea of where to start. >>> >>>>> >>> >>>>> Cheers, >>> >>>>> >>> >>>>> Brian >>> >>>>> >>> >>>>> > -- >>> >>>>> > 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 http://groups.google.com/group/sympy?hl=en. >>> >>>>> > For more options, visit https://groups.google.com/groups/opt_out. >>> >>>>> > >>> >>>>> > >>> >>>>> >>> >>>>> >>> >>>>> >>> >>>>> -- >>> >>>>> Brian E. Granger >>> >>>>> Cal Poly State University, San Luis Obispo >>> >>>>> bgran...@calpoly.edu and elliso...@gmail.com >>> >>>>> >>> >>>>> -- >>> >>>>> 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 http://groups.google.com/group/sympy?hl=en. >>> >>>>> For more options, visit https://groups.google.com/groups/opt_out. >>> >>>>> >>> >>>>> >>> >>>> >>> >>> >>> >> >>> > >>> > -- >>> > 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 http://groups.google.com/group/sympy?hl=en-US. >>> > For more options, visit https://groups.google.com/groups/opt_out. >>> > >>> > >>> >>> -- >>> 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 http://groups.google.com/group/sympy?hl=en-US. >>> For more options, visit https://groups.google.com/groups/opt_out. >>> >>> >> >> -- >> 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 http://groups.google.com/group/sympy?hl=en-US. >> For more options, visit https://groups.google.com/groups/opt_out. >> >> >> >> -- >> 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 http://groups.google.com/group/sympy?hl=en-US. >> For more options, visit https://groups.google.com/groups/opt_out. >> >> > > > -- > 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 http://groups.google.com/group/sympy?hl=en-US. > For more options, visit https://groups.google.com/groups/opt_out. > > -- You received this message because you are subscribed to the Google Groups "sympy" group. 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