Quadratic field/Related Articles

See also changes related to Quadratic field, or pages that link to Quadratic field or to this page or whose text contains "Quadratic field".

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• Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. ^[e]
• Conductor of a number field [r]: Used in algebraic number theory; a modulus which determines the splitting of prime ideals. ^[e]
• Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. ^[e]
• Field extension [r]: A field containing a given field as a subfield. ^[e]
• Field theory (mathematics) [r]: A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on the familiar concepts of real number arithmetic. ^[e]
• Monogenic field [r]: An algebraic number field for which the ring of integers is a polynomial ring. ^[e]
• Ordered field [r]: A field with a total order which is compatible with the algebraic operations. ^[e]
• Quadratic equation [r]: An equation of the form ax² + bx + c = 0 where a, b and c are constants. ^[e]
• Root of unity [r]: An algebraic quantity some power of which is equal to one. ^[e]

Articles related by keyphrases (Bot populated)

• Real number [r]: A limit of the Cauchy sequence of rational numbers. ^[e]
• Republicanism [r]: The political ideology of a nation as a republic, with an emphasis on liberty, rule by the people, and the civic virtue practiced by citizens. ^[e]
• Möbius function [r]: Arithmetic function which takes the values -1, 0 or +1 depending on the prime factorisation of its input n. ^[e]