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algebraically closed

adj

Definitions

  1. Which contains as an element every root of every nonconstant univariate polynomial…

    Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).

    • The fundamental theorem of algebra states that the field of complex numbers, #92;mathbb#123;C#125;, is algebraically closed.

  2. Such that any finite set of equations and inequations has a solution.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA