SCIREA Journal of Mathematics is an
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Abstract:A Pipe consists of cross-sectional and longitudinal directions that determine its volume. The objective of this paper is to obtain some formulas for modeling the cross-section and the radius length variation along the center curve of the pipe. The methods are as follows. By using real quartic Bézier functions, we define the
Abstract:This paper presents a sampling-based method called Sampling-Calculation-Optimization (SCO) for the experimental design of batch Bayesian optimization. SCO does not construct new multi-point acquisition functions but samples from the existing one-point acquisition function to obtain candidate designs. The rejection sampling
Abstract:This paper examines the properties of the synthetic polymer material polyethylene terephthalate to reflect, absorb, and scatter radio waves across various frequency ranges. The use of durable polyethylene terephthalate films to protect objects and personnel from detection by non-ionizing radiation is substantiated. The tran
Abstract:In this paper, we study the finite time blow up of classical solutions to the Navier-Stokes system under vacuum free boundary conditions with degenerate viscosity, Coriolis force, friction, capillary and gravity. We prove that under certain conditions, the classical solutions of viscous compressible fluids will not exist gl
Abstract:This study investigates the application of Markov birth–death models to the reliability assessment of repairable systems with redundancy operating under constant failure and repair rates. The systems considered are composed of identical units, with the assumption that no further failures occur while the system is in the dow
Abstract:This paper extends the derivative to affine coordinate systems， introduces the generalized derivative, presents its applications, and expands the theoretical foundation of mathematics!
Abstract:Boundary value problems of thermal conductivity on a star graph are considered, inspired by engineering applications, e.g., heat conduction phenomena in mesh-like structures. Based on the generalized function method, a unified technique for solving boundary value problems of heat conduction has been developed. Generalized s
Abstract:Goodness of fit tests indicate whether or not it is reasonable to assume that a random sample comes from a specific probability distribution. Again, it is established in the literature that the logistic distribution is a well-known probability model that, with very few exceptions, behaves similarly to the normal distributio
Abstract:Multi-beam bathymetry is an important means to improve the efficiency of seabed topographic surveying, so it is of great significance to study the layout of multi-beam survey lines for ocean surveying and mapping. Based on basic mathematical principles, this paper mainly applies the relevant mathematical knowledge of solid
Abstract:This article proves that using generalized cosine and generalized sine to calculate the distance between two points in a good affine coordinate system is simpler and more accurate than using tangent and cotangent and table look-up in a Cartesian coordinate system.
