Sentence examples for generalised order from inspiring English sources

In this paper, we first characterise the parameters of sets of type- 1,n) in type- 1plane with more generalised order conditions than prime power order.

The parameters of sets of type- 1,n) in finitype- 1ective planes were characterised by G. Tallini and M. Tallini Scafati with more generalised order condition.

Thus, a generalised ordered logistic model was fitted, and two distinct ORs were estimated for each level of the outcome: (1) 'fair or poor' versus 'good'+'very good' and (2) 'fair or poor'+'good' versus 'very good.' All analyses were performed in Stata (version IC/11.1; Stata Corp ,College Station, USA).

Finally, the transverse deflection of the generalised higher-order theories is expanded in a power series of a non-dimensional parameter and used to derive a material and geometry dependent shear correction factor that provides more accurate solutions of bending deflection than the classical value of 5/6.

We introduce the notion of order generalised gradient, a generalisation of the notion of subgradient, in the context of operator-valued functions.

Thus both (nabla_ f) and (nabla_ f) are order generalised gradients.

We discuss the connection between the notion of order generalised gradient and the Gâteaux derivative of operator-valued functions.

Order generalised gradients extend the notion of subgradients, without the assumption of convexity, for operator-valued functions.

Let (f:mathcal{C}rightarrowmathcal{A}(H)) be operator convex and (nabla _{f}:mathcal {C} timesmathcal{A}(H) rightarrowmathcal{A}(H)) be an order generalised gradient for f.

From the definition of an order generalised gradient we have -nabla_{f}(A,B-A) geq f(A -f B) geq nabla_{f}(B,A-B).

The function (nabla_{f}:mathcal{P}_(H) times mathcal {P}_(H) rightarrowmathcal{A}(H)) with nabla_{f}(B,X =-QB^{-1}XB^{-1}Q is an order generalised gradient for f.