Sentence examples for formulated explicitly from inspiring English sources

The singular integrals in the sensitivity BIEs are formulated explicitly under the isogeometric discretization.

With the response surface at hand, an optimization problem is formulated explicitly.

The main point here is that such definitions, when correctly formulated, explicitly reveal the ontological commitments associated with the normal use of the defined terms.

The lemma was formulated explicitly in Bokut [22], 1976 (with a reference to Shirshov's paper [207]), Bergman [11], 1978, and Mora [171], 1986.

A fuzzy control system does not require a precise model and a formulation for dynamic and complex systems where the relationship between system output and control inputs is very hard to be formulated explicitly and precisely with mathematical equations [32].

Based on the asymptotic fields near the singular points in two-dimensional isotropic and orthotropic elastic materials, the eigenequation as well as the displacement and singular stress fields near the interface edge, with an arbitrary wedge angle for the orthotropic material, in orthotropic/isotropic bi-materials are formulated explicitly.

The use of such a tool enables stakeholders and mediators to formulate explicitly the problems that need to be addressed in the decision-making process.

Following this line of thought, we propose here to formulate explicitly GNA as a graph matching problem, and investigate the use of modern state-of-the-art exact and approximate methods to solve it.

In this paper, a fully coupled THMC model for fracture opening and closure is formulated by explicitly accounting for the stress concentration on aperture surface, stress-activated mineral dissolution, pressure solution at contacting asperities, and channel flow dynamics.

In abandoning this assumption it is necessary to formulate an explicitly spatial model of the system.

A moral or lesson for behaviour is woven into the story and often explicitly formulated at the end.