Exact critical points for testing subhypotheses in nonreplicated three-way experiments

Monodromy problem for the degenerate critical points

For the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. When the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. In this paper we will consider the polynomial planar vector fields ...

monodromy problem for the degenerate critical points

for the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. when the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. in this paper we will consider the polynomial planar vector fields ...

JMASM20: Exact Permutation Critical Values For The Kruskal-Wallis One-Way ANOVA

Exact One-way Methods for Acoustic Waveguides

Exact one-way re-formulations of the Helmholtz equation are useful for waveg-uide problems, since the resulting equations can be eeciently solved as \initial" value problems by range marching methods. Some numerical methods for these re-formulations are reviewed in this paper. This includes a switched method that avoids the singularities of the operators and the large range step methods that gi...

Critical Points of Three–dimensional Bootstrap Percolation–like Cellular Automata

This paper deals with the critical point of three-dimensional bootstrap percolation-like cellular automata. Some general sufficient or necessary conditions for pc = 0 are obtained. In the case of pc > 0, some explicit upper and lower bounds are provided in terms of the critical value of oriented site percolation.