Online Algebra Calculator
Many of users do not use powerful Maxima computer algebra system for systematic work, but for ad hoc algebraic calculations – equations, functions, matrixes, etc. only. To do this job, it is not useful to download the whole application from a web site.
Function: arrayinfo (<A>) Returns information about the array <A>. The argument <A> may be a declared array, an undeclared (hashed) array, an array function, or a subscripted function.
For declared arrays, arrayinfo
returns a list comprising the atom declared
, the number of dimensions, and the size of each dimension. The elements of the array, both bound and unbound, are returned by listarray
.
For undeclared arrays (hashed arrays), arrayinfo
returns a list comprising the atom hashed
, the number of subscripts, and the subscripts of every element which has a value. The values are returned by listarray
.
For array functions, arrayinfo
returns a list comprising the atom hashed
, the number of subscripts, and any subscript values for which there are stored function values. The stored function values are returned by listarray
.
For subscripted functions, arrayinfo
returns a list comprising the atom hashed
, the number of subscripts, and any subscript values for which there are lambda expressions. The lambda expressions are returned by listarray
.
Examples:
arrayinfo
and listarray
applied to a declared array.
(%i1) array (aa, 2, 3); (%o1) aa (%i2) aa [2, 3] : %pi; (%o2) %pi (%i3) aa [1, 2] : %e; (%o3) %e (%i4) arrayinfo (aa); (%o4) [declared, 2, [2, 3]] (%i5) listarray (aa); (%o5) [#####, #####, #####, #####, #####, #####, %e, #####, #####, #####, #####, %pi]
arrayinfo
and listarray
applied to an undeclared (hashed) array.
(%i1) bb [FOO] : (a + b)^2; 2 (%o1) (b + a) (%i2) bb [BAR] : (c - d)^3; 3 (%o2) (c - d) (%i3) arrayinfo (bb); (%o3) [hashed, 1, [BAR], [FOO]] (%i4) listarray (bb); 3 2 (%o4) [(c - d) , (b + a) ]
arrayinfo
and listarray
applied to an array function.
(%i1) cc [x, y] := y / x; y (%o1) cc := - x, y x (%i2) cc [u, v]; v (%o2) - u (%i3) cc [4, z]; z (%o3) - 4 (%i4) arrayinfo (cc); (%o4) [hashed, 2, [4, z], [u, v]] (%i5) listarray (cc); z v (%o5) [-, -] 4 u
arrayinfo
and listarray
applied to a subscripted function.
(%i1) dd [x] (y) := y ^ x; x (%o1) dd (y) := y x (%i2) dd [a + b]; b + a (%o2) lambda([y], y ) (%i3) dd [v - u]; v - u (%o3) lambda([y], y ) (%i4) arrayinfo (dd); (%o4) [hashed, 1, [b + a], [v - u]] (%i5) listarray (dd); b + a v - u (%o5) [lambda([y], y ), lambda([y], y )]
(%o1) true (%i2)
P (s1,s2,s3,s4,s5) :=...
foo[sort([3,5,1,5,1])...
if foo[sort([3,5,0,5,...
P [s1,s2,s3,s4,s5] :=...
srt[s1,s2,s3,s4,s5] :...
P [s1,s2,s3,s4,s5] :=...
P (s1,s2,s3,s4,s5) :=...
foo[sort([3,5,1,5,1])...
if foo[sort([3,5,0,5,...