On Markov Moment Problem and Related Inverse Problems

Existence and construction of the solutions of some Markov moment problems are discussed. Starting from the moments of a solution, one recalls a method of recovering this solution, also solving approximately related systems with infinite many nonlinear equations and infinite unknowns. This is the first aim of this work. Extension of linear forms with two constraints, as well as measure theory results is applied. Secondly, existence of the solutions of special Markov moment problems is studied. &nbsp

UFSD Test with Proton Beam and Signal Analysis by Using CFD Method

Detecting the charge particles at Giga hertz rate is one of the applications of UFSD (Ultra- Fast Silicon Detectors). The UFSD test in front of the proton beam to count the beam particles and use it for more precise in Dose Delivery System for treatment the cancerous tumor by charge particles can become an effective step for development of cancer treatment. After choosing the best time measurement method which was constant fraction discriminator (CFD) method, by our previous experience, we used MATLAB software to analyze the UFSD signals. The results of many different runs of programs in MATLAB for many registered signals shows: 1- These sensors are reliable to count the proton particles in giga hertz rate. 2-The CFD devices could be used to record the UFSD output signals

Giving Birth to Vectorial Coordinate Geometry II

This paper is an extension of the earlier work titled “Giving birth to vectorial coordinate geometry”, which appeared in volume 3 of MathLab journal in 2019. While the novel concept of vectorial coordinates has been applied in the said work for the derivation of some useful results of two-dimensional Cartesian coordinate geometry, the concept of novel vectorial coordinates has been employed in the present scheme for the derivation of some standard results of three-dimensional Cartesian coordinate geometry. The fact that Vector algebra is a more powerful mathematical tool gets justified from this study. The vectorial treatments offered are novel, simple and straight forward. Furthermore, they will enhance the deepening of thought and understanding about Vector algebra and its application. Thus this contribution will enrich the relevant literature. At the same time, it increases the range of applicability of Vector algebra as well                                                                    &nbsp

Extending the Applicability of an Efficient Fifth Order Method Under Weak Conditions in Banach Space

We extend the applicability of an efficient fifth order method for solving Banach space valued equations. To achieve this we use weaker Lipschitz-type conditions in combination with our idea of the restricted convergence region. Numerical examples are used to compare our results favorably to the ones in earlier works

Tripolar fuzzy sub implicative ideals of KU-Algebras

The concept Tripolar fuzzy set is a generalization of bipolar fuzzy set, intuitionistic fuzzy set and fuzzy set. In this paper, the concept Tripolar fuzzy sub implicative ideals of KU-algebras are introduced and several properties are investigated. Also, the relations between Tripolar fuzzy sub implicative ideals and Tripolar fuzzy ideals are given. The image and the preimage of Tripolar fuzzy sub implicative ideals under homomorphism of KU-algebras are defined and how the image and the preimage of Tripolar fuzzy sub implicative ideals under homomorphism of KU-algebras become Tripolar fuzzy sub implicative ideals are studied. Moreover, the Cartesian product of Tripolar fuzzy sub implicative ideals in Cartesian product KU-algebras is established

Existence of Positive Solutions for Higher Order Boundary Value Problems on Time Scales

In this paper, we establish the existence of at least one positive solution for the higher order boundary value problems on time scales by using the Krasnoselskii fixed point theorem

Generalized Fibonacci Numbers: Sum Formulas of the Squares of Terms

In this paper, closed forms of the sum formulas ∑nk=1kWk2 and ∑nk=1kW2−k for the squares of generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers. We present the proofs to indicate how these formulas, in general, were discovered. Of course, all the listed formulas may be proved by induction, but that method of proof gives no clue about their discovery. Our work generalize second order recurrence relations

Optimizing mating schemes in fish breeding

The optimal contribution selection method and the simulated annealing algorithm were used to maximize the genetic gain and reduce inbreeding in fish breeding populations. This study considered the following mating designs: full factorial (3 x 3); full factorial (6 x 6) and nested (6 males x 18 females). A quantitative trait based on a strictly additive and polygenic model was simulated. Two levels for the number of genotyped offspring (360 or 720) and three levels of heritability (0.1; 0.3; 0.5) were assumed. The best results in terms of DF and DG were obtained with the full factorial design (6 x 6) and considering a trait with a high heritability. The optimal family size was found at 20 fish per mating