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Oct 28, 2024Open Access
Soon, the edition will have the challenge of publishing the prompts of the authors. The theorem of Thales and the theorem of Pythagoras do not escape the rule, and they seem to have been preceded by several millennia. Asking the true paternity of those geometrical realities makes it possible to show that a * b = R2 according to the terms defined by the Theorem of the Circle or Theorem of Apollo stating the constant product of two segments of perpendicular tangents for a...
Sep 30, 2024Open Access
West Lake is renowned worldwide for its picturesque scenery and profound cultural heritage. This paper uses two famous scenic spots, Leifeng Pagoda and Broken Bridge, as examples to explore the mathematical culture embedded in the landscapes of West Lake. We analyze not only the architectural structure and geometric aesthetics of Leifeng Pagoda and Broken Bridge but also employ mathematical knowledge to understand these structures. This includes using the theorem of similar triangles to measure ...
Dec 01, 2023Open Access
The human language capacity at the 11th dimension of the material manifold enables us to construct countless true narrative representations (TNRs) and derivatives grounded in their meaningful components. Every true narrative consists of a sequence of signs reporting a distinct sequence of material events. The simplest TNRs are constructed in a chronological order. The constructive proofs given here show that time is dynamic. Although the present instant must be unextended to be distinct from pas...
Nov 30, 2022Open Access
In this paper, in order to solve the problem that cross product has no corresponding division in natural space, indefinite cross divisions are firstly introduced as the inverse operations of cross products, which solve the problem from another angle. Then a lot of basic properties of indefinite cross divisions are obtained, such as the Conversion Formulas between left and right indefinite cross quotients, and linear operation properties, where some are expected and some are special. Especially, ...
Mar 23, 2020Open Access
Highway sight distance is a measure of roadway visibility, which is an important factor in the assessment of road safety. Greater visibility can provide motorists more time to avoid crashes and conflicts, facilitating safe and efficient operation. However, poor visibility can reduce the driver’s ability to react to changing conditions and is a significant factor in roadway crashes and near collisions. A driver’s ability to view ambient roadway conditions is necessary for safe operation of a vehi...
Jul 02, 2019Open Access
This paper presents recent results of this author and Z. Kadelburg and also contains additional comments and remarks. These results complete the study of number systems which this author has published in OALib Journal in search of a ground for designing a simplified content assigned to primary teachers. This ground consisted of derivation of properties of the system N of natural numbers with 0 and of the use of these properties as ...
Jun 14, 2019Open Access
The purpose of the present paper is to sudy the pseudo-quasi-conformally flat, C·S=0, pseudo-quasi-conformal ø-symmetric and pseudo-quasi-conformal ø-recurrent 3-dimensional (LCS)n maifolds.
May 31, 2019Open Access
The present paper focuses on the study of ø-pseudo symmetric, ø-pseudo concircularly symmetric and ø-pseudo Ricci symmetric on ε-Para Sasakian Manifolds. Also interesting results are obtained.
Oct 25, 2017Open Access
Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlie ...
Sep 15, 2017Open Access
In this paper, we obtain certain properties of an operator defined
by the convolution between Ruscheweyh and Salagean differential operator; coefficient inequality, extreme point growth and
distortion among other properties are investigated.
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