Sentence examples for polynomial of degree two from inspiring English sources

where is a (possibly inhomogeneous) polynomial of degree two in together with its derivatives, but linear in, and with a constant.

where is globally polynomial of degree two in all the 's but not more than linear separately in each of and.

The primitive iterative method (termed base method) has convergence-order (CO) five and then we describe a matrix polynomial of degree two to design a multi-step method.

This paper establishes, when the distances ∥ppi∥ go to zero, that the angular defect is asymptotically equivalent to a homogeneous polynomial of degree two in the principal curvatures.

Next, various kinds of kernels include linear, polynomial of degree two until five, and radial basis function was implemented along with SVM.

S r) coincides with a polynomial of degree three on each [r k − 1, r k ], k = 1(1)N + 1.

In the TSNDT, we express each displacement component at a point as a complete polynomial of degree three in the thickness coordinate.

We note that the first polynomial in the Appendix is a univariate polynomial of degree four in λ, thus we can solve the polynomial equation as follows to obtain λ. (6 where (7).

Taking g ( x ) is a polynomial of degree three and f ( x ) = a + b x + c x 2, system (1.4) is of type ( 3, 2 ), there are several cases according to the portraits of the unperturbed system.

In [25], Popenda and Drozdowicz presented necessary and sufficient conditions under which the equation Δ m x n = a n f ( x n ) has a convergent solution (i.e., a solution that is asymptotically polynomial of degree zero).

The Laplace transform of α ( D ) β ( D ) m 0 ( u ) is α ( s ) β ( s ) m 0 ∗ ( s ) + q ( s ), where q ( s ) is a polynomial of degree four or less, with coefficients in terms of c, λ 1, λ 2, and the value of m 0 ( 0 ) and its first 4 derivatives at u = 0.