Basic Functions and Operations on Functions

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

Fuzzy number-valued fuzzy ‎relation

It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, i...

Local Self-concordance of Barrier Functions Based on Kernel-functions

 Many efficient interior-point methods (IPMs) are based on the use of a self-concordant barrier function for the domain of the problem that has to be solved. Recently, a wide class of new barrier functions has been introduced in which the functions are not self-concordant, but despite this fact give rise to efficient IPMs. Here, we introduce the notion of locally self-concordant barrier functio...

Effects of acute crude oil exposure on basic physiological functions of Persian sturgeon, Acipenser persicus

Hematological parameters are suitable biomarkers for evaluating the potential risk of the chemicals. The aim of this study was to investigate of acute crude oil exposure on basic physiological functions of Persian sturgeon, Acipenser persicus. 210 juvenile Persian sturgeon (9.4 ± 1g) were supplied by the Rajaei fish farm in Mazandaran Province, Iran.  Juveniles were exposed to the crude oil (15...

The use of radial basis functions by variable shape parameter for solving partial differential equations

In this paper, some meshless methods based on the local Newton basis functions are used to solve some time dependent partial differential equations. For stability reasons, used variably scaled radial kernels for constructing Newton basis functions. In continuation, with considering presented basis functions as trial functions, approximated solution functions in the event of spatial variable wit...

3-node Basic Displacement Functions in Analysis of Non-Prismatic Beams

Purpose– Analysis of non-prismatic beams has been focused of attention due to wide use in complex structures such as aircraft, turbine blades and space vehicles. Apart from aesthetic aspect, optimization of strength and weight is achieved in use of this type of structures. The purpose of this paper is to present new shape functions, namely 3-node Basic Displacement Functions (BDFs) for derivati...