outer(A, B, /, **kwargs)

Some inconsistencies with the Dask version may exist.

Apply the ufunc :None:None:`op` to all pairs (a, b) with a in A and b in B.

Let M = A.ndim , N = B.ndim . Then the result, :None:None:`C`, of op.outer(A, B) is an array of dimension M + N such that:

$$C[i_0, ..., i_{M-1}, j_0, ..., j_{N-1}] =op(A[i_0, ..., i_{M-1}], B[j_0, ..., j_{N-1}])$$

For A and B one-dimensional, this is equivalent to:

r = empty(len(A),len(B))
for i in range(len(A)):
    for j in range(len(B)):
        r[i,j] = op(A[i], B[j])  # op = ufunc in question

Parameters

A : array_like

First array

B : array_like

Second array

kwargs : any

Arguments to pass on to the ufunc. Typically :None:None:`dtype` or :None:None:`out`. See ufunc for a comprehensive overview of all available arguments.

Returns

r : ndarray

Output array

This docstring was copied from numpy.ufunc.outer.

See Also

numpy.outer

A less powerful version of np.multiply.outer that :None:None:`ravel`\ s all inputs to 1D. This exists primarily for compatibility with old code.

tensordot

np.tensordot(a, b, axes=((), ())) and np.multiply.outer(a, b) behave same for all dimensions of a and b.

Examples

This example is valid syntax, but we were not able to check execution

>>> np.multiply.outer([1, 2, 3], [4, 5, 6])  # doctest: +SKIP
array([[ 4,  5,  6],
       [ 8, 10, 12],
       [12, 15, 18]])

A multi-dimensional example:

This example is valid syntax, but we were not able to check execution

>>> A = np.array([[1, 2, 3], [4, 5, 6]])  # doctest: +SKIP
... A.shape  # doctest: +SKIP
(2, 3)

This example is valid syntax, but we were not able to check execution

>>> B = np.array([[1, 2, 3, 4]])  # doctest: +SKIP
... B.shape  # doctest: +SKIP
(1, 4)

This example is valid syntax, but we were not able to check execution

>>> C = np.multiply.outer(A, B)  # doctest: +SKIP
... C.shape; C  # doctest: +SKIP
(2, 3, 1, 4)
array([[[[ 1,  2,  3,  4]],
        [[ 2,  4,  6,  8]],
        [[ 3,  6,  9, 12]]],
       [[[ 4,  8, 12, 16]],
        [[ 5, 10, 15, 20]],
        [[ 6, 12, 18, 24]]]])

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

dask.array.routines.outer

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