| viXra.org > Mathematical Physics > 2009 |
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| viXra.org > Mathematical Physics > 2009 |
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[5] viXra:2009.0174 [pdf] submitted on 2020-09-26 12:40:37
Authors: M. D. Monsia
Comments: 9 pages
In this paper a well-known truly nonlinear oscillator with power nonlinearity mentioned to have only periodic solutions is investigated. It has been shown that such a proposition is not mathematically consistent as the equation may exhibit exact and general non-periodic solutions calculated for the first time using the generalized Sundman transformation.
Category: Mathematical Physics
[4] viXra:2009.0091 [pdf] replaced on 2020-09-13 21:13:58
Authors: Stephen H. Jarvis
Comments: 16 Pages.
Presented here is the case for what has been termed Temporal Calculus, a new calculus central to a time-algorithm that is able to calculate a direct reference of time to 3-d space and thereby present the case for a mathematics that exists between time and space. The creative drive for this proposed Temporal Calculus is to present a solution to the symmetry-breaking feature of the most basic/elementary particles compared to the vacuum of space, and therefore to directly address the “Yang-Mills existence and mass gap” problem, in providing a solution. Although the equations of Yang-Mills remain unsolved at energy scales relevant for describing atomic nuclei, Temporal Calculus can show how the elementary particles themselves give rise to the physics of nuclei and nuclear constituents, thus providing a solution to a key problem in theoretical particle physics.
Category: Mathematical Physics
[3] viXra:2009.0057 [pdf] replaced on 2020-09-08 04:31:02
Authors: M. D. Monsia
Comments: 7 pages
We calculate for the first time the exact and general solution of a well-known equation which is assumed to be a truly nonlinear oscillator and to have only periodic solutions. We find complex-valued functions as solutions. As a result the supposed qualities of this equation are open to criticism.
Category: Mathematical Physics
[2] viXra:2009.0050 [pdf] submitted on 2020-09-06 19:38:49
Authors: Federico Pagano
Comments: (Note: Corrections on 1st page are made by viXra Admin to conform with scholarly norm)
[T]he problem of fraction decomposition it's easy to solve by using the cover up method, when there are no repeated linear factors in the denominator. Nevertheless it could turn into a hard work if these factors are raised to a high power, where the cover up method doesn't work. This technique shows how to calculate these coefficients without solving large systems of equations.
Category: Mathematical Physics
[1] viXra:2009.0047 [pdf] replaced on 2020-09-07 18:38:24
Authors: M. D. Monsia
Comments: 2 pages
A theory of second order linear differential equations with variable coefficients is proposed in this work. The theory is shown to be useful to solve boundary value problems and Schrödinger eigenvalue problems in terms of elementary functions.
Category: Mathematical Physics
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