Quadratic field/Related Articles: Difference between revisions
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Latest revision as of 16:01, 8 October 2024
- 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]
- 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]