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A definition assigns properties to some sort of mathematical object. For example, Euclid's Elements starts with a number of definitions, such as "a line is a breadthless ...

The study of definable sets and functions in polish spaces.

Two manifolds are said to be diffeomorphic if there exists a diffeomorphism between them.

A set S of positive integers is said to be Diophantine iff there exists a polynomial Q with integral coefficients in m>=1 indeterminates such that ...

The length of the largest-sized square contained within the Ferrers diagram of a partition. Its size can be determined using DurfeeSquare[f] in the Wolfram Language package ...

A Padé approximant perturbed with a Chebyshev polynomial of the first kind to reduce the leading coefficient in the error.

An odd Mathieu function se_r(z,q) with characteristic value a_r.

An equation is a mathematical expression stating that two or more quantities are the same as one another, also called an equality, formula, or identity.

A distribution of error such that the error remaining is always given approximately by the last term dropped.

The bias of an estimator theta^~ is defined as B(theta^~)=<theta^~>-theta. (1) It is therefore true that theta^~-theta = (theta^~-<theta^~>)+(<theta^~>-theta) (2) = ...