Sentences with CARTESIAN-PRODUCT
Check out our example sentences below to help you understand the context.Sentences
1
"The cartesian product of the sets A and B is denoted as A x B."
2
"In set theory, the cartesian product of two sets is the set of all ordered pairs of elements."
3
"The cartesian product is commutative, meaning A x B is equal to B x A."
4
"The cartesian product of two finite sets with m and n elements will have m x n elements."
5
"The cartesian product of two empty sets is an empty set."
6
"In relational algebra, the cartesian product is used to combine rows from two tables."
7
"The cartesian product operation is also called a cross join operation."
8
"The cartesian product of a set with itself is called the square of the set."
9
"In mathematics, the cartesian product of two intervals on the real line is a rectangle."
10
"The cartesian product of two graphs is a new graph that connects every vertex of the first graph to every vertex of the second graph."
11
"In programming, cartesian product can be computed using nested loops."
12
"The cartesian product of two infinite sets is typically an uncountably infinite set."
13
"In mathematics, the cartesian product is useful in defining mathematical functions."
14
"The cartesian product of two vectors is a matrix."
15
"The concept of cartesian product is named after René Descartes, a French mathematician and philosopher."
16
"In set theory, the cartesian product is an operation that combines two sets to form a new set."
1
"The cartesian product of sets A and B is denoted as A × B."
2
"In mathematics, the cartesian product is used to combine elements from two or more sets."
3
"The cartesian product of {1, 2} and {a, b} is {1a, 1b, 2a, 2b}."
4
"Finding the cartesian product of sets can be computationally expensive for large sets."
5
"The concept of cartesian product is commonly used in set theory and discrete mathematics."
6
"Given sets A, B, and C, the cartesian product (A × B) × C can be expressed as A × (B × C) due to associativity."
7
"By taking the cartesian product of a set with itself, you can obtain the set of all possible pairs of elements."
8
"In a database, cartesian product is used to combine rows from multiple tables to generate all possible combinations."
9
"The cartesian product of an empty set with any set is an empty set."
10
"When working with matrices, the cartesian product of two matrices results in a matrix with dimensions equal to the product of the dimensions of the original matrices."
