Mathematics Group Journals’ Post

https://lnkd.in/gsmKEU7x Article Title: Analysis of the axial stability for an assembly of optical modes with stochastic fluctuations type Markov chain Author(s): Martinez Vara P, Gutierrez Ojeda C, A Garcia Guzman, E Saldivia Gomez, G Arenas Muñoz, JC Atenco Cuautle and G Martinez Niconoff* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: We describe the engineering of optical modes whose axial structure follows fluctuations of Markov-chain-type. These stochastic processes are associated with a sequence of time subintervals of duration ∆T. Each subinterval is linked to a Bessel mode of integer order selected according to a Markov-chain-type process. The resulting optical field is implemented using computational simulations for Markov-chain-type Ehrenfest. This process was chosen because it models the thermodynamic equilibrium and it is related with the evolution and stability of optical systems. The matrix representation for the stochastic process allows to incorporate entropy properties for the calculation of the purity of the optical field. #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gnd3D2uZ Article Title: Generation of a substance with negative mass Author(s): BG Golovkin* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: An analysis of known experiments was carried out to determine the dependence of the mass of electrons on their speed. Errors were discovered in determining the sign of the electron mass. It is shown that at electron velocities above the critical ω = 235696.8871 km/s their masses are negative. The results obtained are explained on the basis of the Principle of Nonequivalence of inertial and gravitational masses since inertial mass can only be positive, and gravitational mass can only be positive or negative The purpose of this work is to show that since radioactive substances can emit electrons with negative mass at velocities above ω, they can be a source of their production. #Negamatter #Negativemass #Negaparticles #Electrons #Criticalspeed #Nonequivalenceprinciple #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gU8ngD73 Article Title: Study of the effect of multiple phase transformations and relaxation annealing on the microstructure of a martensitic TiNi alloy in different structural states Author(s): Anna Churakova* and Elmira Iskhakova Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: The work was devoted to studying the effect of multiple phase transformations in the temperature range of phase transformations of a TiNi alloy with a martensitic structure in various initial states - coarse-grained, ultrafine-grained, nanostructured. The conducted studies have shown that in the process of thermal cycling, the accumulation of defects in the crystalline structure occurs - dislocations, which contribute to a decrease in the size of structural elements. Subsequent relaxation annealing, slightly reducing the dislocation density, made it possible to obtain a stable and more equilibrium microstructure, including the nanostructural state. #Shapememoryalloys #Martensitictransformations #Thermaleffects #Deformation #Thermalcycling #Microstructure #Relaxationannealing #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gfHn3HXg Article Title: Modeling of active thermography through uncertainty quantification of parameters of the heat transfer equation Author(s): Arturo Ortiz Tapia*, Rumen Ivanov Tsonchev, Mart´ın A. D´ıaz Viera and Marlen Hern´andez Ortiz Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: Active thermography is an experimental technique used to analyze samples of materials or entire structures without destroying them, by means of a heat source, such as a laser beam of a given power. It is posed that such experimental procedure can be modeled mathematically through the complete equation of heat transfer. The uncertainty on the assumption of the value of the parameter emissivity of this equation is to be analyzed calculating the error between concrete experimental data and simulations where such parameter has been taken from the uniform distribution. To the extent of this research, specifically for active thermography, no previous attempt has been made for using at the same time the complete equation of heat transfer (without simplifications or linearizations), with the usage of uncertainty quantification for the specific experimental results to which the mathematical theory was applied. #Activethermography #Completeequationofheattransfer #Modelparameteruncertainty #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gmCwqZA7 Article Title: Random oscillations of nonlinear systems with distributed Parameter Author(s): Levan Gavasheli* and Anri Gavasheli Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: The article analyzes random vibrations of nonlinear mechanical systems with distributed parameters. The motion of such systems is described by nonlinear partial differential equations with corresponding initial and boundary conditions. In our case, the system as a whole is limited, so any motion can be considered as the sum of the natural oscillations of the system, i.e. in the form of an expansion of the boundary value problem in terms of own functions. #Randomoscillations #Nonlinearsystems #Distributedparameter #Differentialequations #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gzPxjpae Article Title: Surface energy for nanowire Author(s): Serghei A Baranov* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: The theory of surface phenomena in the production of micro-and nanocylinder for important cases is considered. Analytical solution to Gibbs–Tolman–Koenig–Buff equation for nanowire surface is given. Analytical solutions to equations for case the cylindrical surface for the linear and nonlinear Van der Waals theory are analyzed. But for a nonlinear theory, this correspondence is absent. #GibbsTolmanKoenigBufftheory #Tolmanlength #VanderWaalstheory #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gpUsXEiz Article Title: On Λ-Fractional fluid mechanics Author(s): Anastasios Lazopoulos* and Kostantinos Lazopoulos Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule do not apply to other fractional derivatives; This, according to Differential Topology, makes the definition of a differential impossible for these derivatives. #Λfractionalderivative #Λfractionalspace #Λfractionalderivative #Fractionalfieldtheorems #Λfractionalcontinuummechanics #Λfractionalfluidmechanics #Λfractionalnewtonianfluids #ΛfractionalNavierStokesequations #ΛFractionalDarcyflow #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gbk8-Big Article Title: About the connection of the electron binding energy of a single carbon anion with binding energies of an electron attached to carbon molecules Author(s): AS Baltenkov and I Woiciechowski* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: We demonstrate that the model of zero-range potentials can be successfully employed for the description of attached electrons in atomic and molecular anions, for example, negatively charged carbon clusters. To illustrate the capability of the model we calculate the energies of the attached electron for the family of carbon cluster anions consisting of two-, three- (equilateral triangle) and four (tetrahedron) carbon atoms equidistant from each other as well as for a C3 molecule having a chain structure. The considered approach can be easily extended to carbon clusters containing an arbitrary number of atoms arranged in an arbitrary configuration. #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gG8naWSP Article Title: Theoretical calculation of self-propagating high-temperature synthesis (SHS) preparation of AlB12 Author(s): Chao Wang*, Xiaoming Cao, Mengge Dong, Lu Zhang, Jianxing Liu, Xiaozhou Cao* and Xiangxin Xue* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: Although experimental results of preparing AlB12 by self-propagating high-temperature synthesis using Mg-B2O3-Al2O3 as raw material has been studied, the theoretical calculations for the preparation of AlB12 have not been examined as thoroughly. In this article, for the first time, we report on the study of theoretical calculation and the adiabatic temperature, calculated, and compared with the actual reaction temperature. The Gibbs free energy for each level of reaction is also calculated. The calculation results show that the adiabatic temperature is 2789.5 K, the standard Gibbs free energy of each reaction is less than 0, and the reaction can proceed spontaneously, which is consistent with the results of the experiment. #AlB12 #SHS #Theoreticalcalculations #Adiabatictemperature #Standardgibbsfreeenergy #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

https://lnkd.in/gY7DS53r Article Title: The speed of the body at the moment of transition to a massless state is a new world constant Author(s): BG Golovkin* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: Based on the kinetic theory of gases, the minimum temperature and critical velocity of a body necessary for its transition to a massless state are estimated. The value of this speed ω = 235696.8871 km⁄s is a new world constant, since it is the same for a body, regardless of its size, mass, density, and chemical composition. For the first time, the masses of X, and Y - bosons, as well as the zeroing temperatures of the mass of elementary particles have been calculated. #Worldconstant #Criticalvelocity #Elementaryparticles #Masslessstate #Zeroingofmass #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory