Hi Travis, Greetings! I've added an abstract inner product module inside the algebra module(which could be changed later) on ticket number #29437 <https://trac.sagemath.org/ticket/29437>. Kindly review it and please let me know about your thoughts. I plan to add functionalities such as Gram Schmidt Orthonormalization, Bounded linear operator and other spaces(not just vector space) in input. I wish to further go deeper into orthonormal sets and then representation of functional on Hilbert spaces as a representation in Hilbert Space <https://en.wikipedia.org/wiki/Riesz_representation_theorem>. I'm forming a proposal related to it and let you know soon.
Please Let me know your thoughts, whether is it a good idea to work on and possible modifications if possible? Thanking you, *Gaurav * On Sat, Mar 28, 2020 at 4:24 AM 'Travis Scrimshaw' via sage-gsoc < [email protected]> wrote: > Dear Gaurav, > You are free to propose your own project as part of your GSoC > application. However, when you make your proposal, be sure to include > references for the functionality you want to implement and/or provide an > idea for how to do these computations. > > Best, > Travis > > > On Saturday, March 28, 2020 at 3:21:15 AM UTC+10, Gaurav Suryawanshi wrote: >> >> Hello Mentors, >> My name is Gaurav Suryawanshi. I'm a fourth year Integrated Masters' >> student from the department of Mathematics at Indian Institute of >> Technology Kharagpur pursing Mathematics and Computational Sciences. I've >> been studying mathematics since past 4 years, My major expertise lie in >> abstract algebra and abstract spaces. I've also worked on python a lot >> since past 2-3 years mainly working on tensorflow models for Reinforcement >> Learning. I've used sagemath before but only limited to numerical >> computation. >> >> I've already read main page <https://wiki.sagemath.org/GSoC/Students> and >> made myself familiar with Sage, trac, and working towards it's source code. >> I read the projects mentioned here <https://wiki.sagemath.org/GSoC/2020> and >> found representation theory to the a great project, but was wondering about >> whether we can contribute on something we like. I actually wish to add new >> functionalities related to functional analysis such as Inner Products, norm >> of a functional(or rather norm in general) , bounded linear operators or >> equations such Integral Equations in the sage math environment, I feel it >> would be a great addition to the existing software and would also help >> understanding Mathematics in a deeper sense. However, if that's not >> possible, if you have suggestions about related projects which seems >> well-suited for me it would be great. >> >> Thanking you, >> Gaurav. >> *Stay safe from corona! * >> > -- > You received this message because you are subscribed to the Google Groups > "sage-gsoc" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-gsoc/733eee6d-9c2f-41dc-bc4b-0117471a9fcb%40googlegroups.com > <https://groups.google.com/d/msgid/sage-gsoc/733eee6d-9c2f-41dc-bc4b-0117471a9fcb%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "sage-gsoc" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-gsoc/CAE_ER4SmBjHBsBQVrFVDiCEQZ6M0drZn5wM-in5fOW_n-24PFw%40mail.gmail.com.
