This paper describes how to discover dynamic relationships among genes from time series microarray data with association rule mining approach. To hold dynamic information in the rules, the association rules were extracted using the constraints that expression level of genes appear in the antecedent and change direction of expression level of genes in the consequent. Besides, we have applied fuz...

In this paper, we consider the inclusion-exclusion rule – a known yet seldom used rule of probabilistic inference. Unlike the widely used sum rule which requires easy access to all joint probability values, the inclusion-exclusion rule requires easy access to several marginal probability values. We therefore develop a new representation of the joint distribution that is amenable to the inclusio...

There are many various methods to forecast time series. However, there is no single forecasting method that generally outperforms any other. Consequently, there always exists a danger of choosing a method that is inappropriate for a given time series. To overcome such a problem, distinct ensemble techniques are being proposed. These techniques combine more individual forecasting methods. In thi...

We consider the concept of a local set of inference rules. A local rule set can be automatically transformed into a rule set for which bottom up evaluation terminates in polynomial time. The local rule set transformation gives polynomial time evaluation strategies for a large variety of rule sets that can not be given terminating evaluation strategies by any other known automatic technique. Thi...

The influence of physical damping on the numerical stability of time integration analysis is an open question since decades ago. In this paper, it is shown that, under specific very general conditions, physical damping can be disregarded when studying the numerical stability. It is also shown that, provided the specific conditions are met, analysis of structural systems involved in extremely hi...

We propose two admissible closures A(PTCA) and A(PHCA) of Ferreira’s system PTCA of polynomial time computable arithmetic and of full bounded arithmetic (or polynomial hierarchy computable arithmetic) PHCA. The main results obtained are: (i) A(PTCA) is conservative over PTCA with respect to ∀∃Σ1 sentences, and (ii) A(PHCA) is conservative over full bounded arithmetic PHCA for ∀∃Σ∞ sentences. Th...

A mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der Waals mixing rule at low densities. The effectiveness of the mixing rule for the size and energy parameters of lennard-Jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. The results of calculation are compared with the molecular dy...

the rule of iḍṭirār (desperate necessity) indicates an order which ceases the previously issued orders on the condition of proving the needfulness and indigence of a convicted. rationally speaking, however, such an order is not far from flaws in an absolute term and this order to be carried out is bounded in time and quantity. although this is a principal rule of jurisprudence, it is neglected ...