Sentence examples for compact expressions from inspiring English sources

Compact expressions for the effectiveness factor are given for two extreme cases that are nearly accurate.

Unfortunately, there are not often at hand short and compact expressions corresponding simultaneously to the mathematical formulation of a same phenomenon in both spaces.

Technical theories which give a good match for thin HCS offer compact expressions for moduli which can be harvested to study sensitivity of moduli on topology.

Using the derived compact expressions, the interaction between the crack and the dislocation is studied and a closed form solution for this interaction is obtained.

This paper also discusses the use of eigenfunctions of a uniform beam as admissible functions that produce compact expressions for the mass and stiffness matrices.

Coordinate function satisfying the natural boundary conditions and the predetermined coefficients was adapted, which results in compact expressions and enables to readily calculate symmetric and nonsymmetric natural frequencies for arbitrary values of the elastic constants.

A compact expression has been obtained to describe both one-dimensional and three-dimensional precipitations.

A compact expression for the resistance of a rectangular multilayer system, measured on the top surface by linear four points is given.

A compact expression is developed for a novel parameter quantization threshold which is introduced for the first time in this paper.

Differently from previous contributions in the literature, the formula proved in the paper has a particularly compact expression since it is based on the analytical evaluation of integrals depending by lower exponents of the scalar product of the vector connecting the source and observation points.

The compact expression of the method is the form (1.5).