Sentence examples for formulation of relations from inspiring English sources

The explicit formulation of relations in Eq. (5), or equivalently in Eq. (6), can be expressed in closed form in the case of function (vartheta left( cdot right)) (whose details are provided in Sect. 3) and function (gamma left( cdot right)) (whose formulation is provided in Eq. 3).

A feature-based life cycle modeling approach is proposed to address life cycle representation, retrieval and integration of valuable data from current computer aided engineering tools, and formulation of relations between various product and process design factors and product environmental impact indicators for sustainability improvement analysis.

For example, the formulation of the relations in the target system in linear terms as a Linear Program does.

A set of approximations is applied to the CEI to produce a non-unique simplified EI (SEI), which is in the strict force-flux form needed to guide the formulation of closure relations.

Calvani's classification scheme is extremely clear, thanks to the formulation of hierarchical relations between macro-structures (didactic architectures) and teaching methods (pedagogical strategies), which are described in detailed and represented in tabular form (Table  1).

Electre Tri proceeds in two consecutive steps [32]: Step 1: formulation of outranking relation S for the comparison of a to (b_h).

After the definition of thresholds, the next step is the computation of concordance index (c a,b_h)) Eq. (5), and discordance index (d_j a,b_k)) Eq. (7); thus, the formulation of outranking relation S by the computation of the degree of credibility.

Mathematical formulation and derivation of relations and formulas have been done for the three steady-state macroscopic balances.

The second observation is that although for Heisenberg experimental, informational, epistemological and ontological formulations of his relations were, so to say, just different sides of the same coin, this is not so for those who do not share his operational principles or his view on the task of physics.

However, there was very little or no discussion of whether this choice was appropriate for a general formulation of the uncertainty relations.

The variational formulation of the equilibrium relations of a slender beam that may undergo large deformations is presented.