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1. Quadratic forms, reduction of: The isolation of "reduced" forms in each class of quadratic forms over a given ring $ R $, i.e. of (one or several) "standard" forms in the class. (Mathematics) [100%] 2023-07-26
2. Quadratic forms, reduction of: The isolation of "reduced" forms in each class of quadratic forms over a given ring $ R $, i.e. of (one or several) "standard" forms in the class. (Mathematics) [100%] 2024-03-05
3. Tensor product of quadratic forms: In mathematics, the tensor product of quadratic forms is most easily understood when one views the quadratic forms as quadratic spaces. If R is a commutative ring where 2 is invertible (that is, R has characteristic \displaystyle{ \text{char}(R ... [89%] 2024-09-06 [Quadratic forms] [Tensors]...
4. Knots and links, quadratic forms of: Forms associated with three-dimensional knots and links; certain invariants of these forms are topological invariants of the isotopy type of the knots and links. Quadratic forms of knots and links arise as a result of symmetrizing the Seifert pairing ... (Mathematics) [81%] 2023-10-17

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1. Quadratic form: Quadratic form is a function expressed as a multivariable equation in linear algebra that has only combined power of two. When represented by matrices, it has a geometric significance as a shift or transformation in coordinates. [100%] 2023-06-26 [Linear Algebra]
2. Quadratic form: over a commutative ring $ R $ with an identity A homogeneous polynomial $$ q = q ( x) = q ( x _ {1}, \dots, x _ {n} ) = \ \sum _ {i < j } q _ {ij} x _ {j} x _ {i} ,\ \ 1 \leq i \leq j ... (Mathematics) [100%] 2023-10-28
3. Quadratic form: In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, is a quadratic form in the variables x and y. (Polynomial with all terms of degree two) [100%] 2022-11-13 [Quadratic forms] [Linear algebra]...
4. Quadratic form (statistics): In multivariate statistics, if \displaystyle{ \varepsilon }[/math] is a vector of \displaystyle{ n }[/math] random variables, and \displaystyle{ \Lambda }[/math] is an \displaystyle{ n }[/math]-dimensional symmetric matrix, then the scalar quantity \displaystyle{ \varepsilon^T\Lambda\varepsilon }[/math] is known ... (Statistics) [100%] 2024-03-06 [Statistical theory] [Quadratic forms]...
5. Quadratic (collection): Quadratic is a collection of four science fiction works by Olaf Stapledon and Murray Leinster. It was edited by William L. (Collection) [85%] 2022-10-04 [1953 short story collections] [Science fiction anthologies]...
6. Binary quadratic form: A quadratic form in two variables, i.e. having the form $$ \tag{* } f = f (x, y) = \ ax ^ {2} + bxy + cy ^ {2}. (Mathematics) [81%] 2023-10-17
7. Isotropic quadratic form: A quadratic form $q$ on a vector space over a field $F$ which is non-degenerate (the associated bilinear form is non-singular) but which represents zero non-trivially: there is a non-zero vector $v$ such that $q(v ... (Mathematics) [81%] 2023-11-15
8. Quaternary quadratic form: A quadratic form in four variables. A quaternary quadratic form over a field $ F $ is related to the algebra of quaternions (cf. (Mathematics) [81%] 2023-07-11
9. Pseudo-quadratic form: Let $ D $ be a division ring (cf. Division algebra) with centre $ k $ and let $ V $ be a right vector space over $ D $. (Mathematics) [81%] 2023-10-04
10. Tits quadratic form: Let $Q = ( Q _ { 0 } , Q _ { 1 } )$ be a finite quiver (see ), that is, an oriented graph with vertex set $Q_0$ and set $Q _ { 1 }$ of arrows (oriented edges; cf. also Graph, oriented; Quiver). (Mathematics) [81%] 2023-11-14
11. Universal quadratic form: A quadratic form over a field $F$ which represents each element of $F$. (Mathematics) [81%] 2023-10-24
12. Isotropic quadratic form: In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero. Otherwise the quadratic form is anisotropic. (1=Quadratic form q on a vector space which has null vectors) [81%] 2023-05-17 [Quadratic forms]
13. Universal quadratic form: In mathematics, a universal quadratic form is a quadratic form over a ring that represents every element of the ring. A non-singular form over a field which represents zero non-trivially is universal. [81%] 2023-12-28 [Field (mathematics)] [Quadratic forms]...
14. Quadratics: Quadratics is a six-part Canadian instructional television series produced by TVOntario in 1993. The miniseries is part of the Concepts in Mathematics series. [76%] 2022-10-07 [1993 Canadian television series debuts] [1993 Canadian television series endings]...
15. FORMs: 『FORMs -REMIX FOR ORDINARY PEOPLE-』は、SOFT BALLETの3枚目のリミックスアルバム。 1995年4月に解散を発表したSOFT BALLETの当時の最新作『FORM』の、外部リミキサーによるリミックスアルバム。 2009年にリリースされたCDボックス・セット『INDEX - SOFT BALLET 89/95』には権利関係の問題で全曲未収録。. [73%] 2025-05-01 [1995年のリミックス・アルバム] [SOFT BALLETのアルバム]...
16. Quadratrix: Quadratrix, in mathematics, a curve having ordinates which are a measure of the area of another curve. The two most famous curves of this class are those of Dinostratus and E. Tschirnhausen, which are both related to the circle. [66%] 2022-09-02
17. Quadratrix: A plane curve used for the solution of the problem of the quadrature of the circle. For example: the dinostratus quadratrix, the cochleoid, the Tschirnhaus quadratrix: $$y=a\sin\frac{\pi x}{2a},$$ and the Ozanam quadratrix: $$x=2a\sin ... (Mathematics) [66%] 2023-01-25 [Geometry]