What is Rank–nullity theorem?

Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer n can be represented as the sum of four squares.

In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime ideals...

In the mathematical theory of random processes, the Markov chain central limit theorem has a conclusion somewhat similar in form to that of the classic central limit theorem of probability...

In probability theory, the central limit theorem states that, in many situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution. This article gives...

In mathematics, low-rank approximation is a minimization problem, in which the cost function measures the fit between a given matrix and an approximating matrix , subject to a constraint that...

Australian Army officers receive a commission from the Monarch, currently Queen Elizabeth II, of Australia, signed by the Governor-General of Australia, acting on her behalf. Rank insignia for commissioned officers...

Top Rank Suite was the name given to a chain of nightclubs in the United Kingdom owned by the Rank Organisation. They were sometimes known as Top Rank Ballrooms.

In the Indonesian military, titular and honorary ranks are two different types of special military ranks. Unlike the normal rank in the Indonesian military, titular and honorary ranks could be...

In chess, a back-rank checkmate is a checkmate delivered by a rook or queen along a back rank stand at the start of the game] in which the mated king...

In mathematics, particularly in the fields of number theory and combinatorics, the rank of a partition of a positive integer is a certain integer associated with the partition. In fact...