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A version of set theory which is a formal system expressed in first-order predicate logic. Zermelo-Fraenkel set theory is based on the Zermelo-Fraenkel axioms. ...

The term "higher dimensional group theory" was introduced by Brown (1982), and refers to a method for obtaining new homotopical information by generalizing to higher ...

The study of number fields by embedding them in a local field is called local class field theory. Information about an equation in a local field may give information about ...

For a Galois extension field K of a field F, the fundamental theorem of Galois theory states that the subgroups of the Galois group G=Gal(K/F) correspond with the subfields ...

von Neumann-Bernays-Gödel set theory (abbreviated "NBG") is a version of set theory which was designed to give the same results as Zermelo-Fraenkel set theory, but in a more ...

Complex Analysis

A complex polynomial is a polynomial with complex coefficients.

A function whose range is in the complex numbers is said to be a complex function, or a complex-valued function.

The field of complex numbers, denoted C.

A vector whose elements are complex numbers.