Function composition: Difference between revisions

=={{header|Mathcad}}==

Mathcad is a non-text-based programming environment. The expressions below are an approximations of the way that they are entered (and) displayed on a Mathcad worksheet. The worksheet is available at xxx_tbd_xxx

This particular version of Function Composition was created in Mathcad Prime Express 7.0, a free version of Mathcad Prime 7.0 with restrictions (such as no programming or symbolics). All Prime Express numbers are complex. There is a recursion depth limit of about 4,500.

compose(f,g,x):=f(g(x))

cube(x):=x³ cuberoot(x):=x^1/3

funlist:=[sin cos cube]^T invlist:=[asin acos cuberoot]^T

invfunlist(x):= {vectorize}compose(invlist,funlist,x){/vectorize}

x:= 0.5

invfunlist(x)= {results of evaluation appears here) invfunlist([x √2 3]^T)= {results)

apply(f,x):=f(x) apply(f,x):={vectorize}apply(f,x){/vectorize}

apply(funlist,x)= {results} + ... several more examples