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・ Quadratic Lie algebra
・ Quadratic mean diameter
・ Quadratic pair
・ Quadratic probing
・ Quadratic programming
・ Quadratic reciprocity
・ Quadratic residue
・ Quadratic residue code
・ Quadratic residuosity problem
・ Quadratic set
・ Quadratic sieve
・ Quadratic transformation
・ Quadratic unconstrained binary optimization
・ Quadratic variation
・ Quadratic-linear algebra
Quadratically closed field
・ Quadratically constrained quadratic program
・ Quadratics
・ Quadratini
・ Quadratino
・ Quadrato di Villafranca
・ Quadratojugal bone
・ Quadratrix
・ Quadratrix of Hippias
・ Quadratur des Kreises
・ Quadrature
・ Quadrature (astronomy)
・ Quadrature (mathematics)
・ Quadrature amplitude modulation
・ Quadrature based moment methods


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Quadratically closed field : ウィキペディア英語版
Quadratically closed field
In mathematics, a quadratically closed field is a field in which every element of the field has a square root in the field.〔Lam (2005) p. 33〕〔Rajwade (1993) p. 230〕
==Examples==

* The field of complex numbers is quadratically closed; more generally, any algebraically closed field is quadratically closed.
* The field of real numbers is not quadratically closed as it does not contain a square root of −1.
* The union of the finite fields F_{5^{2^n}} for ''n'' ≥ 0 is quadratically closed but not algebraically closed.〔
* The field of constructible numbers is quadratically closed but not algebraically closed.〔Lam (2005) p. 220〕

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