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2013-03-12 10:47:33 +0200 | asked a question | How to create a Sage directory of all functions? Can one easily get the list of all defined functions in Sage to something like a directory including at least following information: [ - function name
- allowed input argument numbers (possibly several)
- allowed input argument types for each allowed input argument
- function result values numbers (possibly several depending on input arguments)
- function result values types for each result value
, - next similar etc.
] so that for example one could easily construct an expression-set having all allowed functions in function argument places up to a given level? For example: Expression-set for 3 levels is something like: [ sin(cos(x)) sin(sin(x)) sin(tan(x)) sin(x^a) (x^a)^b myfun(sin(k),cos(n)) etc. ]; (All combinations. Here only 3 levels given as an example. Here function myfun may have several return variables each can be a variable, vector, matrix, function name etc.) |

2013-03-12 10:01:36 +0200 | asked a question | How to calculate element-wise matrix functions in Sage In MATLAB one can write: A = [1,2,3]; B = 2*A.^3; where B gets element-wise result of the function 2*A.^3 given matrix (or vector) A. In Sage the notation .^ does not function. How to do this in Sage? Then how to calculate the element-wise sin(A) in Sage? |

2013-03-07 12:28:18 +0200 | asked a question | polynomial digits of pi How to find polynomial p_N(n) coefficients a_i_N, p_N(n) = sum_i ( a_i_N * n^i , i=0:N ) such that p_N(n) gives the decimals of pi (where n=0...N) up to N:th decimal place. I did not find this in Sage ready made. Does Sage have a function or another way to do this (returning a_i_N for each p_N, N ={1,2,...})? It should be both a numerical value up to a certain precision and a symbolic accurate answer? |

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