quadratic extension वाक्य
उदाहरण वाक्य
मोबाइल
- Any F-torus of rank one is either split or isomorphic to the kernel of the norm of a quadratic extension.
- The elements of " Q " may be regarded as classifying graded quadratic extensions of " K ".
- In mathematics, trigonometry analogies are supported by the theory of quadratic extensions of finite fields, also known as Galois fields.
- These buildings arise when a quadratic extension of " L " acts on the vector space " L " 2.
- For " d " > 1 there are comparable cases for CM-fields, the complex quadratic extensions of totally real fields.
- ;"'Kroneckerian field "': A totally real algebraic number field or a totally imaginary quadratic extension of a totally real field.
- This holds either already over the ground field, if " 1 is a square, or over the quadratic extension obtained by adjoining " i ".
- This is a significant extension of the theory of quadratic extensions, and the genus theory of quadratic forms ( linked to the 2-torsion of the class group ).
- That is, the ring of symmetric and alternating polynomials is a quadratic extension of the ring of symmetric polynomials, where one has adjoined a square root of the discriminant.
- So the Arf invariant of a nonsingular quadratic form over " K " is either zero or it describes a separable quadratic extension field of " K ".
- Elliptic curves are now normally studied in some variant of Weierstrass's elliptic functions, defining a quadratic extension of the field of rational functions made by extracting the square root of a cubic.
- These are all products of the Vandermonde polynomial and a symmetric polynomial, and form a quadratic extension of the ring of symmetric polynomials : the Vandermonde polynomial is a square root of the discriminant.
- It is not possible to tell whether \ mathbb Z / N \ mathbb Z [ \ sqrt t ] is actually a quadratic extension of " N " without knowing the factorisation.
- The characterization is the following : a complex number is constructible if and only if it lies in a field at the top of a finite tower of quadratic extensions, starting with the rational field.
- *PM : prime ideal decomposition in quadratic extensions of \ mathbb { Q }, id = 4643-- WP guess : prime ideal decomposition in quadratic extensions of \ mathbbQ-- Status:
- *PM : prime ideal decomposition in quadratic extensions of \ mathbb { Q }, id = 4643-- WP guess : prime ideal decomposition in quadratic extensions of \ mathbbQ-- Status:
- The argument given does not apply in this case, because some of the endomorphisms of supersingular elliptic curves are only defined over a quadratic extension of the field of order " p " .)
- Since the field of constructible points is closed under " square roots ", it contains all points that can be obtained by a finite sequence of quadratic extensions of the field of complex numbers with rational coefficients.
- *PM : proof of prime ideal decomposition in quadratic extensions of \ mathbb { Q }, id = 8002 new !-- WP guess : proof of prime ideal decomposition in quadratic extensions of \ mathbbQ-- Status:
- *PM : proof of prime ideal decomposition in quadratic extensions of \ mathbb { Q }, id = 8002 new !-- WP guess : proof of prime ideal decomposition in quadratic extensions of \ mathbbQ-- Status:
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