Alright, now I get it. Thanks for your help! On Monday, March 9, 2020 at 4:54:48 AM UTC-4, Bruce wrote: > > The king_tableaux is an iterator not a function. > it is used in the last three lines. > > if you want a list look inside no_of_king_tableaux > > On Sunday, 8 March 2020 21:41:34 UTC, Soheli Das wrote: >> >> 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" >>> >>
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