Thank you Bruce!! Indeed the function looks tidier. The third function gives me this message: "<generator object king_tableaux at 0x6ffea35729a8>". The 'p' is supposed to mean the partition right?
Once again thank you for your help. I really appreciate it! -Soheli On Sunday, March 8, 2020 at 5:26:41 AM UTC-4, Bruce wrote: > > Thank you for helping me. I created the function: > > sage: def is_king_tableau(t,no_of_rows): > ....: for i in range(no_of_rows): > ....: if t[0][0] != 1: > ....: return False > ....: elif t[i][0] <= 2*i: > ....: return False > ....: else: > ....: i=i+1 > ....: return True > > > I have tidied up your function and written some simple functions to show > how it is used. > I hope this will encourage you to learn more about Python, make further > improvements and write your own functions. > > The last three lines are not a function but use the iterator to show the > motivation for the definition of a King tableau. > > def is_king_tableau(t): > """A function which tests if a semistandard tableau is a King > tableau.""" > if t[0][0] != 1: > return False > for i, row in enumerate(t): > if row[0] <= 2*i: > return False > return True > > def no_of_king_tableaux(p): > """A function which finds the number of King tableaux of given > shape.""" > return len([t for t in SemistandardTableaux(p) if is_king_tableau(t)]) > > def king_tableaux(p): > """An iterator for the set of King tableaux of given shape.""" > for t in SemistandardTableaux(p): > if is_king_tableau(t): > yield t > > for t in king_tableaux([2,2]): > t.to_Gelfand_Tsetlin_pattern().pp() > print "\n" > -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-combinat-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-combinat-devel/b8bcad0c-2683-4378-b93c-83be180877dd%40googlegroups.com.
