quadrics

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quadrics

[′kwä·driks]
(mathematics)
Homogeneous, second-degree expressions.
References in periodicals archive ?
Next, we sequenced the quadric mean speed in an ascending order and then obtained two polylines for up- and down-direction travel.
In [39] a variational mesh segmentation framework based on fitting general quadrics (including planes as a special case) is proposed.
[a.sub.j,k] is the semilatus rectum, [e.sub.j,k] is the eccentricity, [v.sub.j,k] is the distance between O and the quadric vertex [V.sub.j,k], and [[phi].sub.j,k] and [[gamma].s.j,k] are the azimuth and elevation angles of the quadric axis (see Figure 3).
So several memcapacitor models, including piecewise linear, quadric and cubic function models, memristor-based memcapacitor models, and memcapacitor emulators, were proposed in [16-21], and a mathematical memcapacitor model and a corresponding circuit model are established in [22].
These result in the nonlinear geometric equations including the quadric term of the displacement differential, and the nonlinear force equilibrium equation established on the deformed state of the structure.
One says that M is (k, n - k) pseudospherical at one of its points p if it is locally near p biholomorphic to some Heisenberg (k, n - k)-pseudosphere having, in coordinates ([z.sub.1], ..., [z.sub.n], w) [member of] [C.sup.n+1], the model quadric equation:
Along with quadric cost function the valve point loading effect [12] is also considered as the second part of (2) suggests, which incorporates nonconvexity into the search space of HTUC along with nonlinearity.
Illustration of particle geometry: (a) modelling domain on the base of quadric image, (b) quasi-quadric particle in bounding box
* A surface of order two is called a quadratic or quadric surface and consists of surfaces such as ellipsoids, paraboloids and hyperboloids, which include the classic MINIMAX saddle surfaces.
Alternatively, D[P.sup.n] is the quotient of the quadric Q := {(-, *) = 1} of [D.sup.n+1] by the Hopf action z [right arrow] z x [e.sup.[tau]t].
In this study, our results revealed that, all linear ([X.sub.1], [X.sub.2], [X.sub.3] and [X.sub.4]), quadric ([X.sub.1.sup.2], [X.sub.2.sup.2], [X.sub.3.sup.2] and [X.sub.4.sup.2]) and interactive ([X.sub.1] [X.sub.2], [X.sub.2] [X.sub.3], [X.sub.2] [X.sub.4] and [X.sub.3] [X.sub.4]) model terms had a very significant effect on inulinase production by A.
(b.) Regressions include a quadric time trend, individual fixed effects, employer tenure, employer tenure squared, age, and age squared.