In this paper we considered a moving from classical logic and Kolmogorov’s probability theory to non-classical p-adic valued logic and p-adic valued probability theory. Namely, we defined p-adic valued logic and further we constructed probability space for some ideals on truth values of p-adic valued logic. We proposed also p-adic valued inductive logic. Such a logic was considered for the firs...

We construct the two-variable p-adic q-L-function which interpolates the generalized q-Bernoulli polynomials associated with primitive Dirichlet character χ. Indeed, this function is the q-extension of two-variable p-adic L-function due to Fox, corresponding to the case q = 1. Finally, we give some p-adic integral representation for this two-variable p-adic q-L-function and derive to q-extensio...

This review is devoted to dynamical systems in fields of p-adic numbers: origin of p-adic dynamics in p-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems. The main attention is paid to discrete dynamical systems iterations of maps in the field of p-adic numbers (or their algebraic extensions): ...

The present paper reviews activity in environmental valuation by examining trends in publication rates over the past three decades. It also provides an overview of the demand for environmental valuation by academic markets and by policy markets. The results of this historical analysis suggest that there is not as much use of environmental valuation in policy analysis as could be expected given ...

Using basic properties of p-adic numbers, we consider a simple new approach to describe main aspects of DNA sequence and genetic code. Central role in our investigation plays an ultrametric p-adic information space which basic elements are nucleotides, codons and genes. We show that a 5-adic model is appropriate for DNA sequence. This 5-adic model, combined with 2-adic distance, is also suitabl...

An effective p-adic encoding of dendrograms is presented through an explicit embedding into the Bruhat-Tits tree for a p-adic number field. This field depends on the number of children of a vertex and is a finite extension of the field of p-adic numbers. It is shown that fixing p-adic representatives of the residue field allows a natural way of encoding strings by identifying a given alphabet w...

Cryptographically strong sequences should have a large 2-adic complexity to thwart the known feedback with carry shift register (FCSR) synthesis algorithms. At the same time the change of a few terms should not cause a significant decrease of the 2-adic complexity. This requirement leads to the concept of the k-error 2-adic complexity. In this paper, an algorithm for computing the k-error 2-adi...