Sentence examples for degenerate cases from inspiring English sources

Furthermore, no particular treatment is needed for mathematically degenerate cases.

Finally, let us consider the degenerate cases of list- and ticket-oriented systems.

The general nature of these functions is demonstrated based on four degenerate cases of Heun's equation.

All possible degenerate cases, e.g. isotropic bimaterials and isotropic half-space, are considered in detail.

Classical beam theories (Euler Bernoulli and Timoshenko) are also captured from the formulation as degenerate cases.

In some degenerate cases, these C∗-algebras are the generalized Toeplitz algebras.

By the way, this broken straight line is what we call a degenerate case of a hyperbola.

Buckling analysis is carried out as a degenerate case of free vibration at zero frequency.

The remaining two models describe the degenerate case in which a surface barrier resistance is limiting.

The important degenerate case of a symmetric sandwich beam is also investigated.

For the degenerate case, evaluation of residues at multiple poles is also given.