Symbolic package: Difference between revisions
→Demos and usage examples
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<source lang="octave"> | |||
##Demo of how to graph symbolic functions (by converting SYMBOLIC functions into ANONYMOUS functions) | |||
##The following code will produce the same vector field plot as Figure 1.14 from Example 1.6 (pg. 39) from A Student's Guide to Maxwell's Equations by Dr. Daniel Fleisch. | |||
##Make sure symbolic package is loaded and symbolic variables declared. | |||
pkg load symbolic; | |||
syms x y | |||
##Write a Vector Field Equation in terms of symbolic variables | |||
vector = [sin(pi .* y ./2 ); -sin(pi .* x ./2 )]; | |||
##Vector components are converted from symoblic into anonymous form which allows them to be graphed | |||
##The '1' & '2', in vector(1) & vector(2) are indeces for the vector. | |||
##The " 'vars', [x y]" syntax tells function_handle that each component is a function of both 'x' & 'y' | |||
iComponent = function_handle (vector(1), 'vars', [x y]); | |||
jComponent = function_handle (vector(2), 'vars', [x y]); | |||
##Setting the Grid up to graph all axes for all variables from -.5 to .5, with spacings .05 apart. | |||
[X,Y] = meshgrid([-.5:.05:.5]); | |||
##Draw the Vector Field! | |||
figure | |||
quiver(X,Y,iComponent(X,Y),jComponent(X,Y)) | |||
</source> | </source> | ||