Sentence examples for elements of degree from inspiring English sources

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.

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.

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.

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)).

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)).

In terms of practical work, there are many opportunities to practise the practical elements of the degree – from analysing local polluted river samples to building a pump from empty soda bottles.

Are most elements of the degree suitable but one or two key areas are missing?

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.

Further two-node C1 finite elements of eight degrees of freedom per node, based on the theories, are presented for the free vibration analysis of the beams in this paper.