SCIREA Journal of Mathematics is an
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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.
Abstract:Using generalized cosine and sine , a new method for calculating the distance between two points in a plane coordinate system and a polar coordinate system is given. The new method shows that using the Pythagorean theorem to calculate the distance between two points in a Cartesian coordinate system is the most troublesome!
Abstract:As we all know, Pythagorean theorem is aimed at right triangle. In this paper, Pythagorean theorem is extended to any triangle except equilateral triangle, generalized Pythagorean theorem is introduced, so that the so-called Pythagorean number becomes history and no longer exists, and it is very simple to judge whether a tr
Abstract:The production of a specific type of part entails a lengthy assembly process, concluding with a short firing period in a furnace. Given the high operational costs of the furnace, multiple assemblers share a single furnace, which can fire only one part at a time. The objective of this study is to determine the optimal number
Abstract:This paper focuses on the validity and reducibility of the non-trivial generalized syllogisms with the quantifiers in Square{some} and Square{fewer than half of the}. To this end, this paper firstly presents knowledge representations of generalized syllogisms, and then proves the validity of the syllogism FMO-3, and subsequ
