| 词汇 | quadric |
| 释义 | quadric noun[ C ] mathematics specializeduk /ˈkwɒd.rɪk/ us /ˈkwɑː.drɪk/ a curve or surface that is described by an equation (= a mathematical statement in which you show that two amounts are equal) that has at least one variable (= a number that can change) that is squared(= multiplied by itself)二次曲面;二次曲线 Calculations & calculating algebraic algebraically algo algorithmic amount calculate guesstimate integration interpolation inverse function linear equation mathematical matrix miscalculate miscount operator sum sum total triangulate work something out You can also find related words, phrases, and synonyms in the topics: Geometry: parts of geometrical shapes quadric adjective mathematics specializeduk /ˈkwɒd.rɪk/ us /ˈkwɑː.drɪk/ described by an equation(= a mathematical statement in which you show that two amounts are equal) that has at least one variable (= a number that can change) that is squared(= multiplied by itself): a quadric surface Computer concepts 2FA 2SV 3-D printing adaptive learning additive manufacturing haptics HCI hex hexadecimal hill climbing infection simulation stack telematic telematics telerobotics teraflop tether texture word processing You can also find related words, phrases, and synonyms in the topics: Calculations & calculating Examples of quadricquadric Another class of integrable billiard tables appears on quadrics. Superquadrics are formed by incorporating additional parameters into the quadric equations to provide increased flexibility for adjusting object shapes. A frequently used class of objects are the quadric surfaces, which are described with second-degree equations (quadratics). The quadric is unbounded and the total measure of is infinite. The image is a quadric, and is easily seen to contain two one-parameter families of lines. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Over the complex numbers this is a quite general non-singular quadric. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The stereographic projection presents the quadric hypersurface as a rational hypersurface. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A quadric is thus an example of an algebraic variety. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The cylinder is a "degenerate quadric" because at least one of the coordinates (in this case) does not appear in the equation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The relative values of "a", "b", and "c" determine if the quadric describes an ellipsoid or a hyperboloid. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The linear line complex and quadric line complex are the cases when the hypersurface has degree 1 or 2; they are both rational varieties. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. 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 a quadric. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The intersection of two quadric surfaces is in general a nonsingular curve of genus one and degree four, and thus an elliptic curve, if it has a rational point. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. 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. |
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