Sentence examples for a total degree from inspiring English sources

A quantic, known today as an algebraic form, is a polynomial with the same total degree for each term; for example, every term in the following polynomial has a total degree of 3:x3 + 7x2y − 5xy2 + y3.

Further, for (nin mathbf {N}), we denote the collection of all polynomials in d variables with a total degree ≤n by (Pi_{n}^{d}).

The dense block requires a total degree ordering; the FFT evaluation of the residual requires speedometer ordering of the Fourier coefficient matrix.

This type of quadrature methods exhibits an optimality property with respect to the number of required nodes to calculate the integral exactly for all multivariate polynomials up to a total degree R. For example, it holds that (K=2Q) for (R=3) and (K=2Q^{2}+1) for (R=5).

This can also be seen in Table 2. Since a larger number of return transports implies a higher total degree of dynamism, the myopic approach (dynamic VNS) seems to perform better and the advantage of dynamic S-VNS getsmallerer as the situation changes too frequently.

The Zernike and Logan Shepp polynomials span the same space, that of Cartesian polynomials of a given total degree, but the former allows partial factorization whereas the latter basis facilitates an efficient algorithm for solving the Poisson equation.

Varying the reaction condition such as reaction time, reaction temperature, and the amount of acrylamide and so on, the optimized hemicellulosic derivative with a higher total degree of substituent (DS) of 0.92 and with the 0.43 ratio of carbamoylethy groups and carboxyethyl groups was obtained.

({K}^c=Vbackslash {K}) is the complement vertex set of K. Let function (a(cdot )) be the total degree of a vertex set, that is begin{aligned} aleft( Sright) =sum _{iin S,jin V}A_{ij}, end{aligned} (12 where (A_{ij}) are the entries of the adjacency matrix.

Note that to compute this measure we consider the undirected network, i.e., we consider every link as if it was undirected, and therefore a node of degree k is a node whose total degree is (k=k_{mathrm{in}}+k_{mathrm{out}}).

It states that Q n ( f ) is a polynomial of total degree n at most in the meromorphic function f and its derivatives having meromorphic functions as coefficients.

Directionality, a global property, describes total degree of directionality over a region.