Definitions for quadric
ˈkwɒd rɪkquadric

Princeton's WordNetRate this definition:0.0 / 0 votes

1. quadric, quadric surfacenoun

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

WiktionaryRate this definition:0.0 / 0 votes

1. quadricnoun

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

WikipediaRate this definition:0.0 / 0 votes

1. Quadric

   In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas). It is a hypersurface (of dimension D) in a (D + 1)-dimensional space, and it is defined as the zero set of an irreducible polynomial of degree two in D + 1 variables; for example, D = 1 in the case of conic sections. When the defining polynomial is not absolutely irreducible, the zero set is generally not considered a quadric, although it is often called a degenerate quadric or a reducible quadric. In coordinates x1, x2, ..., xD+1, the general quadric is thus defined by the algebraic equation ∑ i , j = 1 D + 1 x i Q i j x j + ∑ i = 1 D + 1 P i x i + R = 0 {\displaystyle \sum _{i,j=1}^{D+1}x_{i}Q_{ij}x_{j}+\sum _{i=1}^{D+1}P_{i}x_{i}+R=0} which may be compactly written in vector and matrix notation as:

ChatGPTRate this definition:0.0 / 0 votes

1. quadric

   A quadric, or quadric surface, is a generalization of conic sections (ellipses, parabolas, and hyperbolas). It is a type of surface in three-dimensional space defined by an equation of the second degree in three variables x, y, and z. These shapes include ellipsoids, hyperboloids, paraboloids, and others. They are the three-dimensional counterparts of the conic sections in two dimensions.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Quadricadjective

   of or pertaining to the second degree

2. Quadricnoun

   a quantic of the second degree. See Quantic

3. Quadricnoun

   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

WikidataRate this definition:0.0 / 0 votes

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.

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Quadric

   kwod′rik, adj. (alg.) of the second degree, quadratic—esp. in solid geometry and where there are more than two variables.—n. Quad′ricone, a quadric cone.

Matched Categories

1. • Curved Shape

Usage in printed sourcesFrom: 

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Anagrams for quadric »

1. acquir'd

How to pronounce quadric?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say quadric in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of quadric in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of quadric in Pythagorean Numerology is: 1

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=quadric
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Quadric
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Quadric
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/quadric
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=quadric
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=quadric
8. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=quadric