Sentence examples for are explicitly given for from inspiring English sources

The formulae for the stress concentration factors are explicitly given for uniaxial, biaxial and shear in-plane loading conditions and comparisons with interface hoop stress values are performed.

The characteristic equations are explicitly given for determining the stress singularities in the vicinity of the interface corner of two intersecting bodies of revolution having a sharp corner with free boundary conditions along the corner.

The characteristic equations for determining the stress singularity order at the corner vertex and the corresponding corner functions are explicitly given for different combinations of boundary conditions along the radial edges forming the sharp corner.

The strain-displacement and velocity-displacement relations which are needed to express the strain energy and kinetic energy in terms of the admissible trial functions are explicitly given for the linear formulation and reference is given to the excluded geometric non-linear contributions.

Also, the conditions of existence are explicitly given for each expansion.

Furthermore, in some situations, the list of suspicious configurations may not be explicitly given, for example, it can be symbolically specified as predicates by a test engineer knowing a given test purpose.

For frequency-domain investigations, wavelet parameters including band-peak frequencies, minimum numbers of sampling points, scale limits, scale resolutions and total number of scales are explicitly given and numerically estimated for the fourth-order hyperbolic and CW wavelets.

He noted that in the law that allows for elections to be contested, the circuit courts are explicitly given authority.

Various estimates for ¯σ and its associate blow-up time T∗ are explicitly given.

The points and corresponding quadrature weigths are explicitly given.

(6) and (7) are explicitly given as follows.