Biological processes involving the random interaction of d species with integer particle numbers are often modeled by a Markov jump process on N0. Realizations of this process can, in principle, be generated with the classical stochastic simulation algorithm proposed in [19], but for very reactive systems this method is usually inefficient. Hybrid models based on piecewise deterministic process...

In this study, the least square method is applied to study the laminar flow, heat transfer and microrotation of MgO-Ag/water micropolar hybrid nanofluid in a permeable channel. The bottom wall is hot and coolant fluid is injected into the channel from the top wall. The base fluid in the channel is water and volume fraction of nanoparticle (50% Ag and 50% MgO by volume) is between 0 and 0.02. By...

Traceback schemes have been proposed to trace the sources of attacks that usually hide by spoofing their IP addresses. Among these methods, schemes using packet logging can achieve single-packet traceback. But packet logging demands high storage on routers and therefore makes IP traceback impractical. For lower storage requirement, packet logging and packet marking are fused to make hybrid sing...

This work investigates the numbers of Padovan and Perrin hybrids. At first, hybrid numbers, sequences in form, their matrix forms are ordered as studied sequences. Thus, it was possible to display negative index hybrids, define some identities belonging these sequences, develop novel theorems present them binomial sums

SUMMARY Burkitt somatic cell hybrids (D98/HR-l) synthesize both the A and B forms of glucose 6-phosphate dehydrogenase, which were originally derived from the two fused human cells. The A form is from D98 cells and the B form was supplied by the P3J-HR-l cells. The formation of a heteropolymer of glucose 6-phosphate dehydrogenase in the hybrid proves that a hybrid was obtained. Selection of hyb...

In the present paper, we first study Gaussian Leonardo numbers and hybrid numbers. We give some new results for numbers, including relations with Fibonacci Lucas also For proofs, use symmetric antisymmetric properties of Then, introduce polynomials, which can be considered as a generalization After that, using polynomials coefficients instead real in Moreover, obtain recurrence relations, gener...

Özdemir defined the hybrid numbers as a generalization of complex, hyperbolic and dual numbers. In this research, we define generalized Lucas hybrinomials with two variables. Also, get Binet formula, generating function some properties for hybrinomials. Moreover, Catalan's, Cassini's d'Ocagne's identities these are obtained. Lastly, by help matrix theory derive representation

A new study finds a dramatic increase in transposable element numbers in three new sunflower hybrid species, and may suggest a novel role for transposable elements in speciation.

The representation of time plays a key role in the modeling and simulation of dynamic systems. Traditionally, time has been represented by real numbers for continuous and discrete event models, and integer numbers for what is commonly defined as discrete time models. These choices have been found to be insufficient for achieving deterministic models when representing systems subjected to change...

The single valued triangular neutrosophic number (SVTrN-number) is simply an ordinary number whose precise value is somewhat uncertain from a philosophical point of view, which is a generalization of triangular fuzzy numbers and triangular intuitionistic fuzzy numbers. Also, SVTrN-number may express more abundant and flexible information as compared with the triangular fuzzy numbers and triangu...