Mathematics Group Journals’ Post

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/gBGJX2Fz Article Title: A Poisson “Half-Summation” Formula Author(s): R Rosenfelder* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: A generalization of Poisson’s summation formula is derived – in a non-rigorous way – allowing evaluation of sums from 1 (or any finite integer) ∞ instead of the usual range -∞+∞. This is achieved in two ways, either by introducing a converging factor in a geometric series of exponential functions and letting it approach zero in a controlled way or by applying a Hilbert transform to the series. Several examples illustrate its usefulness in the evaluation of series and specific applications. #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/gWEgCpsx Article Title: Critical behavior and stability problem in a scalar field model Author(s): Vladimir Rochev* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: As shown in the works [1-3], the asymptotic behavior of the propagator in the Euclidean region of momenta for the model of a complex scalar field φ and a real scalar field χ with the interaction gϕ*ϕχ drastically changes depending on the value of the coupling constant. For small values of the coupling, the propagator of the field φ behaves asymptotically as free, while in the strong-coupling region the propagator in the deep Euclidean region tends to be a constant. #Quantumfieldtheory #Asymptoticbehavior #Stabilityproblem #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/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

https://lnkd.in/gQw8NxbY Article Title: Mid-point technique for calculating divergent integrals Author(s): M Abu-Shady* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: A mid-point technique is introduced to overcome the difficulties in other techniques. The modied e⁄ective interaction quark potential which uses to calculate different properties of the NJL model such as the constituent quark mass, pressure, and energy density is solved using the present technique. The present method gives good accuracy for the mathematical problem and avoids the physical di¢ culty in the previous works. #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/gkiHgBgZ Article Title: Lorentz Transformation and time dilatation Author(s): Miodrag Mateljević* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: We consider two inertial frames S and and suppose that frame moves, for simplicity, in a single direction: the X -direction of frame S with a constant velocity v as measured in frame S. #Lorentztransformation #Invariantspeedoflight #SpecialrelativitytheoryandLorentzfactor #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/g5Vm2pzk Article Title: Covariance edges matrix of geometric elements Author(s): Florian Blachere and Houman Borouchaki* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: In this paper, we introduce a new matrix associated with polygons and polyhedrons, namely the covariance edges matrix. We show that, for a regular polygon or polyhedron the corresponding matrix is proportional to the identity of size two or three. Based on this fact, we propose, as an application, several algebraic shape quality measures for convex polygons or polyhedrons. Furthermore, this matrix may be related to the metric of a simplex. Future studies will be devoted to the definition of the covariance edges matrix for higher elements and real applications to mesh optimisation. #Regularelement #Elementshapequality #Elementmetric #Finiteelementcomputations #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/gNPq6MPG Article Title: Thermodynamic-induced geometry of self-gravitating systems Author(s): BI Lev* and AG Zagorodny Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: A new approach based on the nonequilibrium statistical operator is presented that makes it possible to take into account the inhomogeneous particle distribution and provides obtaining all thermodynamic relations of self-gravitating systems. #Statisticalphysics #Thermodynamicrelation #Generalrelativity #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/gbTWZnCT Article Title: Lissajous curves with a finite sum of prime number frequencies Author(s): Imre Ferenc Barna* and László Mátyás Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: The Ulam spiral inspired us to calculate and present Lissajous curves where the orthogonally added functions are a finite sum of sinus and cosines functions with consecutive prime number frequencies. #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