Definitions for quadricˈkwɒd rɪk

This page provides all possible meanings and translations of the word quadric

Random House Webster's College Dictionary

quad•ricˈkwɒd rɪk(adj.)

  1. Category: Math

    Ref: quadratic.

  2. (n.)a surface such as an ellipsoid or paraboloid as defined by a second-degree equation in three real variables.

    Category: Math

Origin of quadric:

1855–60

Princeton's WordNet

  1. quadric, quadric surface(noun)

    a curve or surface whose equation (in Cartesian coordinates) is of the second degree

Wiktionary

  1. quadric(Noun)

    A surface whose shape is defined in terms of a quadratic equation

Webster Dictionary

  1. Quadric(adj)

    of or pertaining to the second degree

  2. Quadric(noun)

    a quantic of the second degree. See Quantic

  3. Quadric(noun)

    a surface whose equation in three variables is of the second degree. Spheres, spheroids, ellipsoids, paraboloids, hyperboloids, also cones and cylinders with circular bases, are quadrics

Freebase

  1. Quadric

    In mathematics, a quadric, or quadric surface, is any D-dimensional hypersurface in-dimensional space defined as the locus of zeros of a quadratic polynomial. In coordinates {x1, x2, ..., xD+1}, the general quadric is defined by the algebraic equation which may be compactly written in vector and matrix notation as: where x = {x1, x2, ..., xD+1} is a row vector, xT is the transpose of x, Q is a × matrix and P is a-dimensional row vector and R a scalar constant. The values Q, P and R are often taken to be real numbers or complex numbers, but in fact, a quadric may be defined over any ring. In general, the locus of zeros of a set of polynomials is known as an algebraic variety, and is studied in the branch of algebraic geometry. A quadric is thus an example of an algebraic variety. For the projective theory see quadric.

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