Sentence examples for matrix of degree from inspiring English sources

The final formulas contain only Bézier points and matrix of degree elevation.

A differentiation matrix, (mathbf {D}), of size (n+1) in a certain basis is a nilpotent matrix of degree (n+1).

In the following, we prove that widehat{A}:=left [ textstylebegin{array}c@{quad}c@ A_{1}& A_{2} A_{3} & A_{4 end{array}displaystylend{array}displaystylent matrightf degree τ.

and thus P S : = | S 〉 〈 S | ∈ ( H ν ⊗ 1 + 1 ⊗ H ν ) ′ holds jointly for all ν ∈ { 0 ; 1, …, m } ; 0 N denotes the zero matrix of degree N. In this section, we present a straightforward criterion for pure-state controllability of quasifree fermionic systems with d modes.

The values of (varPhi^0) at the integers are obtained by finding the 1-eigenvector of the matrix D. Since the symbol function H is a matrix polynomial of degree 3, the support((varPhi^0 )) is contained in [0,3].

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.

Since (N lambda )) is a nonzero matrix polynomial of degree l and order n, the sum of algebraic multiplicities of the eigenvalues of (N lambda )) can be maximum nl.

Since (N lambda )) is a nonzero matrix polynomial of degree l and order n, the sum of algebraic multiplicities of the eigenvalues of (N lambda )) will be less than or equal to nl.

If the symbol (H xi )) is a symmetric matrix polynomial of degree l, then the corresponding multiscaling function (varPhi) will be symmetric about the point (frac{l}{2}) (Lemma 3.1)   3.1

Let begin{aligned} L lambda )=sum _{k=0}^{l}A_k lambda ^k, A_kin mathbb {C}^{ntimes n}, lambda in mathbb {C} end{aligned} (2.1 be a matrix polynomial of degree l.

For a graph G, we assume (d_{1}geq d_{n}geqcdotsgeq d_{n}) is the degree sequence of G and (D(G =operatorname{diag}(d_{1},ldots,d_{n},d_{n})) is the diagonal matrix of vertex degree.