| Description |
Derives number of dimensions (variables) of given function
(class - inline , symbolic or char) then tries to find a set of
coordinates that function has simple relations between variables or finds
the coordinates that function has less variables. See "p1" comments. This is
done in two (cartesian or polar) or three (cartesian or cylandrical or
spherical) dimensions. The output also contain an extra parameter that
shows the result coordinates and you can choose the out put function
class type (inline , symbolic or char). See "cla" comments. The function
also can be used manually. See "p1" comments. Some of usual change of
coordinate are provided that can be used manually. See "p2" comments.
Clarification: If you choose 'S' for p1: When someone wants to integrate
( ( x ^ 2 ) + ( y ^ 2 ) + ( z ^ 2 ) ) dx dy dz. It is more simpler that
integrate in spherical coordinates with integrand ( r ^ 2 ) ( r ^ 2 sin
( theta )dr d( theta )d( phi ) ). This program tries to find and convert
functions like this. If you choose 'L' for p1: When someone wants to
use del operator on ( ( x ^ 2 ) + ( y ^ 2 ) + ( z ^ 2 ) ). It is more
simpler that work in spherical coordinates with ( r ^ 2 ) and use
spherical del operator. This program tries to find and convert functions
like this. The two case of code using aren't the same always. See
examples of the code.
Example:
(1)
W = inline ( ' s * cos ( t ) * tan ( e ) ' , ' s ' ,' t ' , ' e ' ) ;
[ simp , coord ] = smartconvert ( W , 'sym' , 'L')
simp =
A*tan(B)
coord =
Cartesian
(2)
W = inline ( ' s * cos ( t ) * tan ( e ) ' , ' s ' ,' t ' , ' e ' ) ;
[ simp , coord ] = smartconvert ( W , 'sym' , 'S')
simp =
C*B/A
coord =
Cartesian |
