We prove that for a class of Zd shifts of finite type, d > 1, any invariant measure which is not a measure of maximal entropy can be perturbed a small amount in the weak* topology to an invariant measure of higher entropy. Namely, there are no invariant measures which are strictly local maxima for the entropy function.

Based on a mathematical analysis involving Radon measure explicit formulars of continuous (integral) wavelet transformations are given and further used to direct how to use rotational wavelets in edge detection.

In this work, we demonstrate that the integral formula for a generalised Sato-Levine invariant is consistent in certain situations with Evans and Berger's fourth-order winding number. Also, found that, principle, one can derive analogous high-order numbers by which calculate entanglement of braids. The number Brunnian 4-braid calculated algebraically using cup product on cohomology finite regul...