In this paper, we study to solve the quadratic type λ-functional equation with 3k variables. First, we investigated in non-Archimedean Banach spaces with a fixed point method, next, we investigated in non-Archimedean Banach spaces with a direct method and finally we do research in non-Archimedean random spaces. I will show that the solutions of the quadratic type λ-functional equation are quadratic type mappings. These are the main results of this paper.

Mathematics 

This paper attempts to express imaginary number with chemical nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, the exact Euler’s formula was written just like as in here “e^xi = cos(x) i·sin(x)”. Secondly, twin pi is substituted for x(x = 2Π). Thirdly, the result of this process equals to “e^2iπ = cos(2Π) i·sin(2Π)”. Fourthly, sort up this formula just like as in here: “e^2iπ = 1 i0” = 1. Fifthly, multiply both sides of th...

Electric Engineering  Electrochemistry  Genetics  Mathematics  Number Theory  Quantum Mechanics  Quantum Physics 

This paper attempts to express the Faraday’s constant numbers with chemical nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, the exact value of the Faraday’s constant numbers after the comma is lined up in doublets (0, 96 48 53 32 12 33 10 01 84 × 10⁵ C·mol^-1). Secondly, convert this twin decimal base numbers to binary number base system. Thirdly, after converting process of these numbers, convert this binary numbers...

Electrochemistry  Mathematics  Quantum Physics 

This paper attempts to express the golden ratio numbers with nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, if you take the exact value of golden ratio numbers after the comma, you can convert these decimal base numbers to binary number base system. Secondly, after converting process of these numbers, you should sequence these numbers as decimal number base system again. Thirdly, sum these decimal base numbers respectively. Fourthly, total adding processes ...

Mathematics  Biochemistry 

In this paper, a continuous two-dimensional dynamic system is proposed. This system was analyzed by finding the equilibrium points. Also, the stability of the system was analyzed through the roots of the characteristic equation, Roth stability criteria, Hurwitz stability criteria, fractional part stability criteria, and Lyapunov function. It turns out that the system is chaotic at one point of equilibrium and stable at the other point. Also, it was found that the roots of the characteristic equa...

Mathematics 

In this paper, we study to solve the Cauchy, Jensen and Cauchy-Jensen additive function inequalities with 3k-variables related to Jordan-von Neumann type in the spirit of the Rassias stability approach for approximate homomorphisms in Banach space. These are the main results of this paper.

Mathematics 

In this paper, a six-dimensional model of continuous time dynamical systems is proposed. This system was analyzed by finding equilibrium points, and the stability of the system was also analyzed using different methods, namely the roots of the characteristic equation, Routh’s invariance criterion, Hurwitz’s invariance criterion, Lyapunov function, and the continued fraction stability criterion. The chaoticity of the system was tested by Lyapunov exponent, the hexagonal system was found to be cha...

Mathematics 

In this paper, we take a three-dimension discrete time model of the interaction of host cells with immune cells and tumor cells fixed point analysis was performed to analyze the stability of the system. the necessary conditions have been created to control the growth of cancer cells the introduction of chemotherapy and the disordered behavior was diagnosed the system by finding exponent and dimension of Lyapunov in order, and the numerical simulation of the system was done using the iterative fi...

Mathematics 

In this paper, we study to solve two additive (ξ1,ξ2)-functional inequalities with 3k-variables and their Hyers-Ulam stability: First are investigated in complex Banach spaces with a fixed point method and last are investigated in complex Banach spaces with a direct method: These are the main results of this paper.

Mathematics 

Research indicates that students with a high level of Grit and self-efficacy have higher levels of academic achievement. Grit is comprised of passion (consistency of interest) and perseverance of effort, for long-term goals. The purpose of this model is to increase Grit among underrepresented groups. It utilizes one aspect of self-efficacy, “vicarious experiences”, to increase STEM (Science, Technology, Engineering and Mathematics) Grit among underrepresented groups. Historical contributions fro...

History  Mathematics