The constructions of different modeling methods are similar. The models are consisted of the following major stages: 1Recognizing the true or most effective inputs. 2Finding the numerical relationship between inputs and output. 3Explaining the numerical relationship mathematically. 4Utilizing the mathematical expressions to calculate the output using different inputs. 5Comparing the calculated ...

Recently, communication between participants about children’s development has become more necessary in kindergartens and nurseries. Thus, we have been developing an Interactive Communication System through which participants communicate about childhood education using motion pictures recorded in kindergartens and nurseries. This system requires ex-post selection of motion pictures. However, sin...

The biological world offers continuous inspiration for investigators in the field of lab-on-a-chip and especially in nanofluidics where the old adage ‘Natura Artis Magistra’ (nature teaches the art) certainly seems to hold true. An active area of exploration is for example the use of motor proteins, that perform functions on chip fuelled by ATP. In this focus paper we want to draw the attention...

The invention is a method for improved active sonar using a singular value decomposition filtering and a Volterra-Hermite Basis Expansion to model real active sonar measurements. The fitting model minimizes the sum of the squared errors between a measured channel response, z(t), and model response, y(t), which is a fitted Volterra Series solution. The model requires as input an excitation wavef...

Active Learning Method (ALM) is a powerful fuzzy soft computing tool, developed originally in order to promote an engineering realization of human brain. This algorithm, as a macro-level brain imitation, has been inspired by some behavioral specifications of human brain and active learning ability. ALM is an adaptive recursive fuzzy learning algorithm, in which a complex Multi Input, Multi Outp...

In this paper, we address the mathematical analysis and numerical solution of a model for pricing a defined benefit pension plan. More precisely, the benefits received by the member of the plan depend on the average salary and early retirement is allowed. Thus, the mathematical model is posed as an obstacle problem associated to a Kolmogorov equation in the time region where the salary is being...

We analyze the Euler approximation to a state constrained control problem. We show that if the active constraints satisfy an independence condition and the Lagrangian satisfies a coercivity condition, then locally there exists a solution to the Euler discretization, and the error is bounded by a constant times the mesh size. The proof couples recent stability results for state constrained contr...