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Oct 28, 2024Open    Access

The Circle-Apollon’s Theorem, Equanimous Inverses

Emmanuel Cadier Anaxhaoza
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...
Open Access Library J.   Vol.11, 2024
Doi:10.4236/oalib.1112305


Sep 30, 2024Open    Access

Mathematical Culture in the Landscapes of West Lake

Zhirui Huang,Liuyi Yang
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 ...
Open Access Library J.   Vol.11, 2024
Doi:10.4236/oalib.1111937


Dec 01, 2023Open    Access

The Human Language Capacity and Physics: Eleven Dimensions of Empirical Reality Proved by Construction

John W. Oller Jr.
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...
Open Access Library J.   Vol.10, 2023
Doi:10.4236/oalib.1110880


Nov 30, 2022Open    Access

Indefinite Cross Divisions of Vectors in Natural Space

Jixing Wang, Lan Cheng
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, ...
Open Access Library J.   Vol.9, 2022
Doi:10.4236/oalib.1109415


Mar 23, 2020Open    Access

Highway Stopping Sight Distance, Decision Sight Distance, and Passing Sight Distance Based on AASHTO Models

Azad Abdulhafedh
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...
Open Access Library J.   Vol.7, 2020
Doi:10.4236/oalib.1106095


Jul 02, 2019Open    Access

Number Systems from a General Point of View

Milosav M. Marjanovic
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
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Open Access Library J.   Vol.6, 2019
Doi:10.4236/oalib.1105484


Jun 14, 2019Open    Access

On 3-Dimensional Pseudo-Quasi-Conformal Curvature Tensor on (LCS)n-Manifolds

Basavaraju Phalaksha Murthy, Venkatesha
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.
Open Access Library J.   Vol.6, 2019
Doi:10.4236/oalib.1105474


May 31, 2019Open    Access

ø-Pseudo Symmetric ε-Para Sasakian Manifolds

P. Somashekhara, Venkatesha
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.
Open Access Library J.   Vol.6, 2019
Doi:10.4236/oalib.1105273


Oct 25, 2017Open    Access

On Markov Moment Problem and Mazur-Orlicz Theorem

Octav Olteanu, Janina Mihaela Mihaila
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
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Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103950


Sep 15, 2017Open    Access

On Certain Subclass of Analytic Functions Based on Convolution of Ruscheweyh and Generalized Salagean Differential Operator

Ajai P. Terwase
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.
Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103716


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