We introduce a class of multiplicative functions in which each function satisfies some statistic conditions, and then prove that the above are not correlated with finite degree polynomial nilsequences. Besides, we give two applications this result. One is twisting coefficients automorphic L-function on G L m ( ⩾ 2 ) $GL_m (m \geqslant 2)$ nilsequences has logarithmic decay; other mean value Möb...

accurate protein function prediction is an important subject in bioinformatics, especially wheresequentially and structurally similar proteins have different functions. malate dehydrogenaseand l-lactate dehydrogenase are two evolutionary related enzymes, which exist in a widevariety of organisms. these enzymes are sequentially and structurally similar and sharecommon active site residues, spati...

in this paper, we give a necessary condition for function in l^2with its dual to generate a dual shearlet tight frame with respect to admissibility.

This article proposes an animating system for plant growth in the Lindenmayer (L) system in which alphabets are parameterized to the length, size, and position of each component of the plant. The growth rate is approximated by sigmoidal curves. To achieve a realistic leaf shape, a set of shape functions is used to transform a skeleton of primary branches into the final shape. Genetic algorithm ...