Sentence examples for two derivations from inspiring English sources

Two derivations of the exact boundary conditions are presented, one with Mori Zwanzig projection procedure, and the other using lattice Green's functions.

The relevance of the above two derivations for Eqs.

In literature, there are two derivations of dual integral equations.

The agreement between the two derivations of the criterion confirms the validity of inequality (22).

In order to prove the uniqueness, we assume that there exist two derivations d 1 and d 2, such that Fix d 1 ( L ) = I and Fix d 2 ( L ) = I.

However, when it comes to attempting to understand the deep structure of classical proof systems (and in particular, when two derivations that differ in some superficial syntactic way are really different ways to represent the one underlying 'proof') it is enlightening to think of classical logic as formed by a basic substructural logic, in which extra structural rules are imposed as additions.

For each pair ((L,S inn {mathcal N}{mathcal F}{mathcal C}{mathcal S},(s_{0},s_{1},c_{0},c_{1} )), the rules (r L^{prime }rightarrow R^{prime }) in ({mathcal A}{mathcal R}(L,SS)) are non-repeatedly listed using the two derivation functions ({mathcal F}{mathcal S}(L)), ({mathcal F}{mathcal S}(Sbackslash L^{prime })_{L^{prime }}) proposed by [9].

Table 1 shows the general characteristics of the two derivation populations and the validation population.

These two derivation studies were thus screened for methodological quality, but were excluded from the meta-analysis.

The field of FCA has developed mathematical tools [ 25] to understand relations I between various types of objects G and attributes M. The starting point are two derivation operators both denoted by ′.

An electrocardiogram (ECG) was recorded by a standard Holter ECG system (Schiller Medilog AR4plus) at a sampling rate of 1 kHz and using four derivations.