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Atomic Quantum Galvanomagnetism Theory
Get PDFThe establishment of galvanomagnetics properties inside the atom takes place here, giving sense, on axiomatic form, to a part of these properties. Some concepts are readjusted: quantum gravity is corrected and replaced by its real significance, and the atom pieces are identified through different quantum paths, among other things
A way to compute a greatest common divisor in the Galois field (GF (2^n ))
Get PDFThis paper presents how the steps that used to determine a multiplicative inverse by method based on the Euclidean algorithm, can be used to find a greatest common divisor for polynomials in the Galois field (2^n )
Karp's Theorem in Inverse Obstacle Scattering Problems
Get PDFIn this work, we provide a proof of the so-called Karp's theorem in a different approach. We use the unique continuation principle together with the monotonicity of eigenvalues for the negative Laplace operator. This method is new and would be applicable to other types of inverse scattering problems
Angle Trisection: 1.What is Angle Trisection? 2.How To Do Angle Trisection? 3.Why Do Angle Trisection?
No full textWe seek to increase the development of science, but there are several fundamental questions about what is. Without solving the question is a false reflection of the history of science and the beginning of cognition. We know that their investigation and resolution, with the exception of rooting and knowledge of morphophonemic, do not come. Research on certain natural or pure mathematical phenomena is an example of my fundamental research that will lead to the definition of general principles and scientific theories
The Trisection of an Arbitrary Angle: A Condensed Classical Geometric Solution
Get PDFThis paper presents a short version of an elegant geometric solution of angle trisection that was published by this author on 2018-04-30 in Volume: 14 Issue: 02 of the Journal of Advances in Mathematics.
The style of writing for the above paper was based on how teaching geometry was taught in high schools from 1940 to 1942. Proofs of a problem consisted of a statement that was followed by a valid reason why the statement was made. If the proof was many lines in length, the teacher wanted the students to show each step. The students were not allowed to skip a step or steps to reach the final line of the proof.
This short version was generated when a copy of the above paper was reviewed by a retired school teacher, who suggested the proof of the trisection of an arbitrary angle could be shortened.
The exposed methods of proof have not changed from the Euclidean postulates of classical geometry
Some Result on Contact Pseudo-Slant Submanifolds of a Sasakian Manifold
Get PDFIn this paper, we study the geometry of the contact pseudo-slant submanifolds of a Sasakian manifold. We derive the integrability conditions of distributions in the definition of a contact pseudo-slant submanifold. The notions contact pseudo-slant product is defined, and the necessary and sufficient conditions for a submanifold to contact pseudo-slant product is given. Also, a non-trivial example is used to demonstrate that the method presented in this paper is effective
The Clitocybins and 2-Substituted-Isoindolin-1-Ones: Synthesis and in Vitro Antimycobacterial Activities
No full textDespite strong indications of antimycobacterial activities for clitocybins reported since 1945, no reports linking chemical structure and activity have been reported in the literature since then. In this study, we synthesized some clitocybin derivatives (also called 2-substituted-isoindolinones), and tested their activities and carried out some chemical derivations. Isoindolinones were prepared from methyl 2-formyl-3,5-dimethoxybenzoate and various primary aromatic amines. Compounds were evaluated for in vitro activity against Mycobacterium tuberculosis H37Rv, as well as for cytotoxicity (CC50) on the Vero cell line. 4,6-dihydroxy-2-(4-hydroxyphenyl)isoindolin-1-one, 7, and 4-hydroxy-2-(4-hydroxyphenyl)-6-methoxy-isoindol-1-one, 5, exhibited the highest antimycobacterial activities (minimum inhibitory concentration = 19.45 µM and 18.45 µM, respectively) and were non-toxic (CC50 = 30 µM and 29 µM, respectively)
Editorial, Volume 16 (2019)
Get PDFOn behalf of the Editorial Board, it is with great pride and sincere privilege that I am writing this message to present the volume 16 (2019) of the JOURNAL OF ADVANCES IN CHEMISTRY. The issue comes from a long process, and we took all the necessary steps to make it a high-caliber scientific publication. We are relying on the collaboration of all our Editors, reviewers, and contributors to make it a contemporary, lively, and relevant publicatio
On the Mixed Dirichlet--Farwig biharmonic problem in exterior domains
Get PDFWe study the properties of generalized solutions in unbounded domains and the asymptotic behavior of solutions of elliptic boundary value problems at infinity. Moreover, we study the unique solvability of the mixed Dirichlet--Farwig biharmonic problem in the exterior of a compact set under the assumption that generalized solutions of these problems has a bounded Dirichlet integral with weight . Admitting different boundary conditions, we used the variation principle and depending on the value of the parameter , we obtained uniqueness (non-uniqueness) theorems of the problem or present exact formulas for the dimension of the space of solutions
Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.
Get PDFThis paper investigates the dynamic behavior of uniform Rayleigh beam resting on Pasternak foundation and subjected to exponentially varying magnitude moving the load. The solution techniques are based on finite Fourier sine transformed Laplace transformation and convolution theorem. The results show that for a fixed value of axial force, damping coefficient and rotatory inertia, increases in shear modulus and foundation modulus reduces the response amplitude of the dynamical system. It was also found that increases in axial force, rotary inertia, and damping coefficient for fixed values of shear modulus and foundation modulus lead to decreases in the deflection profile of the Rayleigh beam resting on Pasternak foundation. Finally, it was found that the effect of shear modulus is more noticeable that of the foundation modulus