I would like all this *and* I'd ike this to work over finite fields:-)
On Mon, Apr 8, 2013 at 6:49 PM, Ben Fishbein <fishbe...@gmail.com> wrote: > Hello, my name is Benjamin Fishbein. I am currently an undergraduate > student at the University of Illinois at Champaign-Urbana scheduled for a > double major in both Computer Science and Mathematics. I am very interested > in working on SymPy as it combines two of my greatest passions. I have > already published code currently being used in SymPy and hope to continue > my contribution to this program over the Summer. While exploring SymPy’s > code I observed that the matrices portion of the code was missing several > crucial functions. Many of the missing function in SymPy's matrices class > have to do with the Span of the group of vectors, however, SymPy does not > have a Span class. My proposal for a Google Summer of Code project is as > follows 1) Create a Span class capable of creating and modifying Spans. To > begin I will make a class which has very simple functionality. Here is an > example of the desired behavior of this class: x = Span([1,2,3],[4,5,6]) x > /[1] [4]\ |[2] [5] | \[3],[6]/ x.dim() 2 x.add_column(2,[7,8,9]) x /[1] [4] > [7]\ |[2] [5] [8] | \[3],[6], [9]/ x.dim() 3 y = x.basis() y /[1] [4]\ |[2] > [5] | \[3],[6]/ 2) Next, I will implement in the matrices class simple > functions which interact with the Span class. The functions I will > initially focus on would be 'image', 'kernel', 'basis image', and 'basis > kernel'. Here is an example of the desired behavior of this addition: x = > Matrix([1,2,3],[4,5,6]) y = x.image() y #Span([1,2,3],[4,5,6]) /[1] [4]\ > |[2] [5] | \[3],[6]/ 3) Finally, I will spend the remainder of my time > expanding on both the Matrices and the Span class. I will add more complex > functions and improve on the existing ones. This may also involve adding > functions to other classes such as Physics and Statistics. Matrices are > essential for many crucial aspects of Physics, Computer Science, > Mathematics, Chemistry, Biology, Electrical Engineering, Industrial > Engineering and many more fields. I feel that the additions which I have > suggested will make SymPy a better resource for its users. Adding a Span > class and improving on the Matrices class will make SymPy a more dynamic > and versatile tool. Thank you for your consideration, if you have any ideas > suggestions comments or critiques I would love to hear them so I may > improve my submission. > > Thank you - Ben Fishbein > > -- > 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.
