Computes the outer product of two series.
OUTERPROD(a, b , "op")
a |
- |
A single column series. |
b |
- |
A single column series. |
"op" |
- |
A string, the binary outer product operator. |
An array with as many rows as
a = {2, 3, 4};
b = {1, 2, 3, 4};
c1 = outerprod(a, b, "*");
m1 = a *^ b';
c1 == {{2, 4, 6, 8},
{3, 6, 9, 12},
{4, 8, 12, 16}}
m1 == {{2, 4, 6, 8},
{3, 6, 9, 12},
{4, 8, 12, 16}}
The standard outer product is computed with "*" multiplication operator. In this case, the outer product is equivalent to a *^ b'
a = {2, 3, 4};
b = {1, 2, 3, 4};
c1 = outerprod(a, b, "*");
c2 = outerprod(a, b, "+");
c3 = outerprod(a, b, "^");
c1 == {{2, 4, 6, 8},
{3, 6, 9, 12},
{4, 8, 12, 16}}
c2 == {{3, 4, 5, 6},
{4, 5, 6, 7},
{5, 6, 7, 8}}
c3 == {{2, 4, 8, 16},
{3, 9, 27, 81},
{4, 16, 64, 256}}
c1 contains the standard outer product, c2 and c3 contain the generalized outer products of series a and b.
The returned array is computed by interposing the outer product operator between every possible pair from a and b.
If Q_{j} represents the j^{th} entry in b, then the j^{th} column of the output array is equivalent to
The standard outer produce of two series is computed with the "*" multiplication operator.
Binary operators include the arithmetic and logical operators. The "Exclusive OR" operator is represented by the string "XOR".