The goal of this paper is to show that generalizing the notion of frequent patterns can be useful in extending association analysis to more complex higher order patterns. To that end, we describe a general framework for modeling a complex pattern based on evaluating the interestingness of its sub-patterns. A key goal of any framework is to allow people to more easily express, explore, and commu...

and Applied Analysis 3 Definition 1.1 Hadamard product or convolution . For functions f and g in the class A, where f z of the form 1.1 and g z is given by g z z ∞ ∑ k 2 ckz , 1.8 the Hadamard product or convolution f ∗ g z is defined by ( f ∗ g z z ∞ ∑ k 2 akbkz k ( g ∗ f z , z ∈ U. 1.9 Definition 1.2 subordination principle . For analytic functions g and hwith g 0 h 0 , g is said to be subord...

in this paper, an energetic coordination compound namely pentamminenitratocobalt(iii) nitrate, [co(nh3)5(no3)](no3)2, was used as a new precursor for the preparation of co3o4 nanoparticles. the results showed that the complex is easily decomposed into the co3o4 nanoparticles at low temperature (200 °c) without employing a surfactant or solvent and any complicated equipment. the product was char...

We define and study the canonical complex of a finite semidistributive lattice L. It is simplicial on join or meet irreducible elements L which encodes each interval by recording representation its bottom element top element. This behaves properly with respect to quotients L, in sense that quotient subcomplex induced irreducibles uncontracted quotient. then describe combinatorially weak order p...