acurveorsurfacethat isdescribedby anequation(= amathematicalstatementin which you show that twoamountsareequal)that has at least onevariable(= anumberthat canchange)that issquared(=multipliedby itself)
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Geometry: parts of geometrical shapes
quadric
adjective
mathematicsspecializeduk/ˈkwɒd.rɪk/us/ˈkwɑː.drɪk/
describedby anequation(= amathematicalstatementin which you show that twoamountsareequal)that has at least onevariable(= anumberthat canchange)that issquared(=multipliedby itself):
a quadricsurface
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acurveorsurfacethat isdescribedby anequationthat has at least onevariablethat issquared
二次曲面；二次曲线
Examplesofquadric
quadric
Another class of integrable billiard tables appears on quadrics.
From theCambridge English Corpus
Superquadrics are formed by incorporating additional parameters into thequadricequations to provide increased flexibility for adjusting object shapes.
From theCambridge English Corpus
A frequently used class of objects are thequadricsurfaces, which are described with second-degree equations (quadratics).
From theCambridge English Corpus
Thequadricis unbounded and the total measure of is infinite.
From theCambridge English Corpus
The image is aquadric, and is easily seen to contain two one-parameter families of lines.
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Over the complex numbers this is a quite general non-singularquadric.
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The stereographic projection presents thequadrichypersurface as a rational hypersurface.
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Aquadricis thus an example of an algebraic variety.
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The cylinder is a "degeneratequadric" because at least one of the coordinates (in this case) does not appear in the equation.
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The relative values of "a", "b", and "c" determine if thequadricdescribes an ellipsoid or a hyperboloid.
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The linear line complex andquadricline complex are the cases when the hypersurface has degree 1 or 2; they are both rational varieties.
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A simple ovoid in real 3-space can be constructed by glueing together two suitable halves of different ellipsoids, such that the result is not aquadric.
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The intersection of twoquadricsurfaces is in general a nonsingular curve of genus one and degree four, and thus an elliptic curve, if it has a rational point.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
This example is from Wikipedia and may be reused under a CC BY-SA license.