Basis-Operatoren

>>> a = np.array( [47, 11, 42, 7] )

>>> b = np.random.randint(3, size=4)

>>> b

array([2, 2, 1, 1])

>>>

>>> a + b

array([49, 13, 43, 8])

>>> a - b

array([45, 9, 41, 6])

>>>

>>> a ** 2

array([2209, 121, 1764, 49])

>>>

>>> np.sin(a)

array([ 0.12357312, -0.99999021, -0.91652155, 0.6569866 ])

>>>

>>> a * b

array([94, 22, 42, 7])

>>>

>>> a @ b # scalar product

165

>>> np.dot(a, b)

165

Basis-Operatoren

und

Skalarprodukt

a⃗ ⋅ b⃗ = |a⃗| |b⃗| cos∡(a⃗, b⃗)

|a⃗|, |b⃗| denote the lengths of the vectors.

∡(a⃗, b⃗) denotes the cosinus of the angle between the two vectors.

a⃗ ⋅ b⃗ = a1b1 + a2b2 + a3c3