Parametric vector function

[Poul Riis]

The example below works but I would like to do something like

fvec=vector([tt*sin(tt),tt*cos(tt),sqrt(tt)])

in stead of

fvecx=tt*sin(tt)

fvecy=tt*cos(tt)

fvecz=sqrt(tt)

Is that possible? If yes, how?

Poul Riis

from math import *

from sympy import *

tt=Symbol('tt')

fvecx=tt*sin(tt)

fvecy=tt*cos(tt)

fvecz=sqrt(tt)

fvecxlambdified = lambdify(tt, fvecx)

fvecylambdified = lambdify(tt, fvecy)

fveczlambdified = lambdify(tt, fvecz)

fvecxdiff=fvecx.diff(tt)

fvecxdifflambdified=lambdify(tt,fvecxdiff)

fvecydiff=fvecy.diff(tt)

fvecydifflambdified=lambdify(tt,fvecydiff)

fveczdiff=fvecz.diff(tt)

fveczdifflambdified=lambdify(tt,fveczdiff)

print("fx(1)=",fvecxlambdified(1))

print("fy(1)=",fvecylambdified(1))

print("fz(1)=",fveczlambdified(1))

print("fx'(1)=",fvecxdifflambdified(1))

print("fy'(1)=",fvecydifflambdified(1))

print("fz'(1)=",fveczdifflambdified(1))

[Aaron Meurer]

You can pass a list to lambdify and it will create a function that
returns a list, like

lambdify(tt, [fvecx, fvecy, fvecz])

Aaron Meurer

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