I have a this list
ver1=[(0.00,0.50,0.75),(0.00,−0.50,0.75),(0.50,0.75,0.00),(0.50,−0.75,0.00)]
I want apply the function f(x,y, z) say 0.3*ver[0][0]+ 0.7*ver[1][0]+ 0.2*ver[2][0] to each 3-tuple of this function. I know that map do it but the exemples are for for only one variable not for 3.
I have tried to transform ver1 in matrix but after I do not know how to proceed. Perhaps it is not possible ?
Do you mean you are considering the function f(x, y, z) = 0.3*x + 0.7*y + 0.2*z
and you have a list ver of 3-tuples and you want the list of f(x, y, z) for each
(x, y, z) in the list ver?
Define f and ver:
sage: f = lambda x, y, z: 0.3*x + 0.7*y + 0.2*z
sage: ver = [ (0.00, 0.50, 0.75), (0.00, −0.50, 0.75), (0.50, 0.75, 0.00), (0.50, −0.75, 0.00)]
Several ways to compute the image:
sage: w = [f(x, y, z) for x, y, z in ver]
sage: w = [f(*v) for v in ver]
Or using vectors instead of tuples, and seeing f(x, y, z) as a scalar product:
sage: a = vector((0.3, 0.7, 0.2))
sage: w = [a * vector(v) for v in ver]
You can easily turn your list of tuples into a matrix as follows:
sage: matrix(RDF, ver1)
[ 0.0 0.5 0.75]
[ 0.0 -0.5 0.75]
[ 0.5 0.75 0.0]
[ 0.5 -0.75 0.0]
Asked: 2020-10-10 16:42:30 +0100
Seen: 335 times
Last updated: Oct 10 '20
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Do you mean you are considering the function
f(x, y, z) = 0.3*x + 0.7*y + 0.2*zand you have a listverof 3-tuples and you want the list off(x, y, z)for each(x, y, z)in the listver?Is
verthe same asver1?Instead of
0.3*ver[0][0]+ 0.7*ver[1][0]+ 0.2*ver[2][0]do you mean0.3*ver[0][0]+ 0.7*ver[0][1]+ 0.2*ver[0][2]?