this paper considers the generation of some interpretable fuzzy rules for assigning an amino acid sequence into the appropriate protein superfamily. since the main objective of this classifier is the interpretability of rules, we have used the distribution of amino acids in the sequences of proteins as features. these features are the occurrence probabilities of six exchange groups in the seque...

Cohomological genus-0 Gromov-Witten invariants of a given target space can be encoded by the “descendant potential,” a generating function defined on the space of power series in one variable with coefficients in the cohomology space of the target. Replacing the coefficient space with the subspace multiplicatively generated by degree-2 classes, we explicitly reconstruct the graph of the differe...

We present a simple but efficient method for generating the set LPol(n) of L-convex polyominoes of size n. We show a bijection between LPol(n) and a suitable set of pairs of integer sequences. This lets us design a CAT (Constant Amortized Time) algorithm for generating LPol(n) using O( √ n) space.

The grassmannian of hermitian lagrangian spaces in C⊕C is natural compactification of the space of hermitian n× n matrices. We describe a Schubert like stratification on this space which has a Morse theoretic origin. We prove that these strata define closed subanalytic currents à la R. Hardt, generating the integral homology of this space, and then we investigate their intersection theoretic pr...

Mobile robots that consist of a mobile platform with one or many manipulators mounted on it are of great interest in a number of applications. Combination of platform and manipulator causes robot operates in extended work space. The analysis of these systems includes kinematics redundancy that makes more complicated problem. However, it gives more feasibility to robotic systems because of the e...

Automatic processes on seismic data using pattern recognition is one of the interesting fields in geophysical data interpretation. One part is the seismic object detection using different supervised classification methods that finally has an output as a probability cube. Object detection process starts with generating a pickset of two classes labeled as object and non-object and then selecting ...

We develop an algorithm for the traveling salesman problem by applying nite diierences to a generating function. This algorithm requires polynomial space. In comparison, a dynamic programming algorithm requires exponential space. Also, the nite-diierence algorithm requires less space than a similar inclusion and exclusion algorithm.

We define the Symmetric Ice Pile Model SIPMk(n), a generalization of the Ice Pile Model IPMk(n), and we show an efficient algorithm for generating the symmetric ice piles with n grains. More precisely, we show how to exploit an existing algorithm for generating IPMk(n) in order to generate SIPMk(n) in amortized time O(1) and in space O( √ kn).

In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear application in the linear space of polynomials with complex coefficients such that u(x) = 0. In some cases we can deduce explicitly the expression for the generating function P(x,ω) = ∞ ∑

A nonholonomic space is a smooth manifold equipped with a bracket generating family of vector fields. Its infinitesimal version is a homogeneous space of a nilpotent Lie group endowed with a dilation which measures the anisotropy of the space. We give an intrinsic construction of these infinitesimal objects and classify all rigid (i.e. not deformable) cases.