Sentence examples for by a certain polynomial from inspiring English sources
The first class of curves may be characterized by quadratic constraints on the quaternion coefficients of the generating polynomials; by the root structure of those polynomials; or by a certain polynomial divisibility condition.
For example, the Clebsch cubic (see the illustration) is defined using a certain polynomial of degree three in four variables.
In this paper, we replace the powers Tn by certain polynomials pn(T), and make use of special properties of the polynomial sequence { pn}n⩾0 to derive some new results concerning operators.
An equivalent formula is Q = ∫ pƒ2dx, where p is a certain quadratic polynomial.
For a path defined by a polynomial parametric curve r, we show that the (square of the) time optimal feedrate can be determined as a piecewise-rational function of the curve parameter ξ, with break-points corresponding to the roots of certain polynomial equations.
Should they respond by a certain day?
To RSVP by a certain day.
Also, in [9], Agratini introduced a new class of q-Bernstein-type operators, which fix certain polynomials.
Furthermore, it provides a description of nested canalyzing functions as a certain type of Boolean polynomial function.
Simply speaking, the idea is to approximate the matrix inverse by a matrix polynomial with J terms, where J needs not to scale with the system dimensions to maintain a certain approximation accuracy [19].
