Uemura [1] discovered the mapping formula for Type 1 Vague events and presented an alternative problem as example of its application. Since it is well known that leads to sequential Bayesian inference, flow subsequent research was make multidimensional, introduce concept time, derive a Markov (decision) process. Furthermore, we formulated stochastic differential equations them [2]. This paper r...

Abstract: Entropy and its various generalizations are widely used in mathematical statistics, communication theory, physical and computer sciences for characterizing the amount of information in a probability distribution. We consider estimators of the quadratic Rényi entropy and some related characteristics of discrete and continuous probability distributions based on the number of coincident ...

In this paper, a new method for gray-scale image and color zooming algorithm based on their local information is offered. In the proposed method, the unknown values of the new pixels on the image are computed by Moving Least Square (MLS) approximation based on both the quadratic spline and Gaussian-type weight functions. The numerical results showed that this method is more preferable to biline...

11 1. Established methods for inference about selection gradients involve least-squares regression 12 of fitness on phenotype. While these methods are simple and may generally be quite robust, 13 they do not account well for distributions of fitness. 14 2. Some progress has previously been made in relating inferences about trait-fitness rela15 tionships from generalised linear models to selecti...

A quadratic function q on an Abelian groupG is a map, with values in an Abelian group, such that the map b : (x, y) 7→ q(x + y) − q(x) − q(y) is Z-bilinear. Such a map q satisfies q(0) = 0. If, in addition, q satisfies the relation q(nx) = nq(x) for all n ∈ Z and x ∈ G, then q is homogeneous. In general, a quadratic function cannot be recovered from the associated bilinear pairing b. Homogeneou...

The following conjecture due to Y. Edel is affirmatively solved: two quadratic APN (almost perfect nonlinear) functions are CCZ-equivalent if and only if they are extended affine equivalent.

There is a famous construction of orthogonal arrays by R.C. Bose (1947). The construction uses linear transformations over a finite field. We generalize this to use non-linear transformation instead of linear and a subset of vector space as their domains. We show here constructions of orthogonal and balanced arrays which are generated by a set of quadratic function.