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n×k

n×k is a mathematical notation representing the product of two integers, commonly denoted as n times k. In arithmetic, n×k equals the multiplication of n and k, and the operation is commutative, so n×k = k×n. The result is an integer when n and k are integers.

In geometry and combinatorics, n and k are often used as dimensions of a rectangular object. An

In the context of set theory, if A and B are finite sets with cardinalities |A| = n

Examples and edge cases help illustrate the concept. For instance, 3×4 = 12, and 5×0 = 0. A

n×k
rectangle
has
n
rows
and
k
columns,
and
the
total
number
of
unit
cells
or
entries
in
such
a
rectangle
is
n×k.
This
usage
extends
to
arrays
and
matrices,
where
an
n×k
matrix
has
n
rows
and
k
columns.
The
total
number
of
entries
in
the
matrix
is
also
n×k.
and
|B|
=
k,
the
Cartesian
product
A×B
has
cardinality
|A×B|
=
n×k,
consisting
of
all
ordered
pairs
(a,
b)
with
a
∈
A
and
b
∈
B.
matrix
with
either
zero
rows
or
zero
columns
is
considered
to
have
zero
entries,
a
degenerate
case
of
the
n×k
form.
The
notation
is
widely
used
in
mathematics,
computer
science,
and
related
disciplines
to
denote
size,
capacity,
or
the
number
of
elements
in
a
rectangular
structure.