The Mechanical Quadrature Methods with the High Accuracy and Splitting Extrapolations for Solving Boundary Integral Equations of the First Kind of Scientific and Engineering Problems on Nonsmooth Domains
At first,a kind of qualitative explanation why the mean free path of molecule(穿) passing through a certain reference section in the course of transportation is not equal to but larger than is brought forward,and then,穿=2 is worked out by means of quantitative calculation.
A supervised texture image segmentation algorithm based on dual tree complex wavelet transform (DT-CWT)and Markov random field (MRF)model is proposed. The algorithm consists of two steps. First, the complex transform coefficients are statistically modelled;
Free quotients and the first betti number of some hyperbolic manifolds
In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.
The first one is a conjecture of Ian Hughes which states that iff1, ..., fn are primary invariants of a finite linear groupG, then the least common multiple of the degrees of thefi is a multiple of the exponent ofG.
First appeared in passing in the basic paper of O.
To prove this, we first state and prove a general result which gives a criterion for checking whether a variety of dimensionN≥3 is a (compactification of a) ball quotient.