Example 1: dot product ocaml
let rec safe_dot_product (vect1: int list) (vect2: int list) : int option =
match (vect1, vect2) with
| [],[] -> Some 0
| [],_ -> None
| _,[] -> None
| (x::xs, y::ys) ->
match safe_dot_product xs ys with
| None -> None
| Some m -> Some ((x*y) + m)
Example 2: dot product python
A = [1,2,3,4,5,6]
B = [2,2,2,2,2,2]
import numpy as np
np.dot(A,B)
np.sum(np.multiply(A,B))
np.array(A)@np.array(B)
sum([A[i]*B[i] for i in range(len(B))])
Example 3: dot product
Let a be a vector with coordinates (a1, a2, a3)
Let b be a vector with coordinates (b1, b2, b3)
Dot Product:
<a1, a2, a3> • <b1, b2, b3> = a1*b1 + a2*b2 + a3*b3
a • b = |a||b|cosθ, where θ is the angle between the two vectors
Example 4: numpy dot product
a = np.array([[1,2],[3,4]])
b = np.array([[11,12],[13,14]])
np.dot(a,b)
[[37 40], [85 92]]
Example 5: dot product array
import numpy.matlib
import numpy as np
a = np.array([[1,2],[3,4]])
b = np.array([[11,12],[13,14]])
np.dot(a,b)
Example 6: r dot product
a = c(1,2)
b = c(0,1)
a%*%b