Sentence examples for complex singularities from inspiring English sources

Arnold built on results of the American topologist Hassler Whitney and Thom to produce an all-encompassing theory of the typical geometry of such folds, cusps and more complex "singularities", and how they join together.

Unlike in serial mechanisms, where there exist only boundary singularities, the closed-loop nature of parallel mechanisms generates complex singularities inside the workspace, which makes the workspace analysis and the trajectory planning of parallel mechanisms a very difficult problem.

This is mainly due to the existence of a complex singularity locus within the workspace.

The unknown interfacial stresses are expanded in series of Jacobi orthogonal polynomials displaying complex singularity.

A case of a complex singularity exponent for an anisotropic multi-material plane is reported, apparently for the first time in potential theory.

The solution has been carried out approximately by developed new algorithm which takes into account both a possible complex singularity at the "open" crack tips and a contact zone of unknown length.

Recently, the matched interface and boundary (MIB) method has been utilized to develop the first second order accurate PB solver that is numerically stable in dealing with discontinuous dielectric coefficients, complex geometric singularities and singular source charges.

Thursday, September 17: Parity of complex Morse singularities, D. Nadler (Berkeley).

His research interests lie in symplectic and contact geometry, several complex variables, singularity theory and low-dimensional topology.

Indeed, a detailed analysis of complex-time singularities shows that their expansions contain all powers of.

The present work introduces a matched interface and boundary (MIB) Galerkin method for solving two-dimensional (2D) elliptic PDEs with complex interfaces, geometric singularities and low solution regularities.