| viXra.org > General Mathematics > 2408 |
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| viXra.org > General Mathematics > 2408 |
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[4] viXra:2408.0113 [pdf] submitted on 2024-08-27 20:06:27
Authors: Edgar Valdebenito
Comments: 4 Pages.
Some remarks on an oscillatory integral [are given].
Category: General Mathematics
[3] viXra:2408.0065 [pdf] submitted on 2024-08-16 20:52:55
Authors: Kazuaki Shimada
Comments: 2 Pages. (Note by viXra Admin: A separate abstract is requited)
This article shows the value of the Wallis integral when n is an even number, n≥2 using the integration of a complex function. Proof of the Wallis product is generally derived using partial integrals, but here derivation using complex integrals is introduced.
Category: General Mathematics
[2] viXra:2408.0061 [pdf] submitted on 2024-08-16 17:54:03
Authors: Edgar Valdebenito
Comments: 3 Pages.
We solve the equation: s=(1/2)Gamma(1/2,s^2), s>0, where Gamma(x,y) is the incomplete gamma function.
Category: General Mathematics
[1] viXra:2408.0026 [pdf] submitted on 2024-08-07 16:44:19
Authors: Andreas Ball
Comments: 8 Pages.
In this report the common grounds of the results of modified Koide-Formulas are presented, in which the Triples "Ф, e, π" and "π, 4, 6" are set as basis values of various exponents.The figures of the first Triple are the Quotient of the Golden Ratio Ф, the Euler Figure Figure e and the Circle Figure π. Besides the circle/sphere diameter the figures of the second Triple "π, 4, 6" determine the circle area and the sphere volume. The exact exponent value, which results by the Equalization of the two modified Koide-Formulas, is close to the figure 0.444, which is also used at an approximation for the mass ratio of the elementar particles Tauon and Electron. The results of the two Koide-Formulas are close to each other over a relatively wide exponent range.
Category: General Mathematics
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