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・ Quadrate line
・ Quadrate lobe of liver
・ Quadrate pebblesnail
・ Quadrate tubercle
・ Quadrathlon
・ Quadratic
・ Quadratic (collection)
・ Quadratic algebra
・ Quadratic assignment problem
・ Quadratic bottleneck assignment problem
・ Quadratic classifier
・ Quadratic configuration interaction
・ Quadratic differential
・ Quadratic eigenvalue problem
・ Quadratic equation
Quadratic field
・ Quadratic form
・ Quadratic form (statistics)
・ Quadratic formula
・ Quadratic Frobenius test
・ Quadratic function
・ Quadratic Gauss sum
・ Quadratic growth
・ Quadratic integer
・ Quadratic integral
・ Quadratic integrate and fire
・ Quadratic irrational
・ Quadratic Jordan algebra
・ Quadratic Lie algebra
・ Quadratic mean diameter


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Quadratic field : ウィキペディア英語版
Quadratic field
In algebraic number theory, a quadratic field is an algebraic number field ''K'' of degree two over Q, the rational numbers. The map ''d'' ↦ Q() is a bijection from the set of all square-free integers ''d'' ≠ 0, 1 to the set of all quadratic fields. If ''d'' > 0 the corresponding quadratic field is called a real quadratic field, and for ''d'' < 0 an imaginary quadratic field or complex quadratic field, corresponding to whether it is or not a subfield of the field of the real numbers.
Quadratic fields have been studied in great depth, initially as part of the theory of binary quadratic forms. There remain some unsolved problems. The class number problem is particularly important.
==Ring of integers==
(詳細はウィキペディア(Wikipedia)

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