Sentence examples for element of degree from inspiring English sources

We know from Lemma 2.15 that (tau ^{-1}(X)) is a super-symmetrized element of degree two in the Clifford Weyl algebra (mathfrak {q}(W)).

It indicates that curvilinear elements of degree 2k+1 should be used for optimal convergence rate of order k+1.

The DDG method when applied to linear Schrödinger equations is shown to have the optimal (k+1 th order of accuracy for polynomial elements of degree k.

8 (3) (2010) 541 564] for parabolic equations, we apply these flux formulae to some elliptic problems using polynomial elements of degree up to 4. Some adaptation of these numerical fluxes is adopted for even high order elements.

The approach applies in arbitrary domains D and for nonseparable covariances Ca. It involves Galerkin approximation of the KL eigenvalue problem by discontinuous finite elements of degree p ⩾ 0 on a quasiuniform, possibly unstructured mesh of width h in D, plus a generalized fast multipole accelerated Krylov-Eigensolver.

Since the two sets of relations (CK1) and (CK2) consist of homogeneous elements of degree 0 with respect to this grading on K E ^, the grading passes to the quotient algebra L K ( E ).

It is easy to show that if a two-sided ideal I in a Z -graded ring is generated by homogeneous elements of degree 0, then I is a graded ideal.

Recall that we are concerned with the Lie algebra representation of (mathfrak {sp}_mathbb {R} subset mathfrak {sp}) which is defined by the identification of (mathfrak {sp}) with the set of symmetrized elements of degree two in the Weyl algebra (mathfrak {w}(W)) and the representation of (mathfrak {w}(W)) on (mathfrak {a}(V)).

In the case of (mathfrak {g} = mathfrak {osp},), for every (ell in mathbb {N}) there is a Casimir element (I_ell ) of degree (2ell ), which is constructed as follows.

Only the Costa awards retained the traditional English-language element of some degree of protectionism (British or Irish residency was required).

At university, you are constantly in a state of studying; whether it be research, revision, assessment writing, or examination preparation, there is always an element of your degree that demands your attention.