Sentence examples for generalized notation from inspiring English sources

The design of the generalized notation takes into account five language design principles which are discussed in the paper.

Moreover, we establish a lower bound on the expressiveness of the generalized notation and show that they are at least as expressive as constraint diagrams.

In order to discourage specification readers and writers from overlooking certain semantic information, the generalized notation allows this information to be expressed more explicitly than in the non-generalized case.

In this section, we introduce the notation of generalized -mapping and a contractive condition called generalized -pair.

By the notation of generalized J H -operator, we get that there exists a point w ∈ M such that w = fx = Tx and ∥ w - x ∥ ≤ ( diam ( P C ( f, T ) ) ) n (3.3).

In this work, the formulation of the main NLK models is unified in a generalized equation, represented using engineering notation in a reduced-order five-dimensional space that may lower in half the associated computational cost.

Here, a consistent notation for the generalized BNM is given, so that in this form the equations represent a direct link between the mathematical description of BNMs and the components of the numerical implementation in TVB.

In this two-part work, the formulation of the main non-linear kinematic (NLK) models is unified into a generalized equation, represented using engineering notation in a reduced-order five-dimensional (5D) space that may lower in half the associated computational cost.

where Tr is the trace in the spin space; σ ̂ z is a 4 × 4 matrix with Pauli matrix σ z as its diagonal components; Gr,a,< are retarded, advanced, and lesser Green's functions in the generalized 4 × 4 Nambu notation.

We also introduce the notation of a generalized probabilistic metric space and obtain common fixed point theorem in the frame work of such spaces.

Applying the notations introduced, the generalized tensor eigenvalue problem is referred to finding λ and x satisfying.