Re: Matrices as operators

*To*: mathgroup at smc.vnet.net*Subject*: [mg123214] Re: Matrices as operators*From*: Ray Koopman <koopman at sfu.ca>*Date*: Sat, 26 Nov 2011 06:48:12 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

----- Christopher Young <cy56 at comcast.net> wrote: > On Nov 25, 2011, at 6:17 PM, Ray Koopman wrote: > >> This is simpler. Does it do what you want? >> Note that 'mat' can be a ragged array. >> Mapping at {-1} preserves its shape, whatever it may be. >> >> In[1]:= op[mat_,t_] := Map[#@t&, mat, {-1}] >> >> In[2]:= op[ { {Sin, Cos}, Tan, whatever }, t ] >> >> Out[2]= { {Sin[t], Cos[t]}, Tan[t], whatever[t] } > > Thanks very much, this is very close to what I need. > I just need to keep the "[t]" from being added to numbers. > > In[1]:= op[mat_, t_] := Map[#1[t] &, mat, {-1}] > > In[2]:= op[{{Sin, Cos}, Tan, {Cos, 0, 1}}, t] > > Out[2]= {{Sin[t], Cos[t]}, Tan[t], {Cos[t], 0[t], 1[t]}} This won't try to interpret a number as a function: In[1]:= op[mat_, t_] := Map[If[NumericQ@#, #, #@t] &, mat, {-1}] In[2]:= op[{{Sin, Cos}, Tan, {Cos, 0, 1}}, t] Out[2]= {{Sin[t], Cos[t]}, Tan[t], {Cos[t], 0, 1}}