| viXra.org > Functions and Analysis > 2406 |
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| viXra.org > Functions and Analysis > 2406 |
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[7] viXra:2406.0153 [pdf] submitted on 2024-06-25 21:01:15
Authors: Rim Ung Jang, Yong Chon Jang, Se Yong Chon, Hak Mun Kim. Song Hak Hong
Comments: 12 Pages.
In this article we assumed that during the particle swarm optimization (PSO)process, the inertia weight value of the velocity vector calculating equation would be changed by non-liner way. And also this way reflects PSO’s real nature very well. The inertia weight factor’s non-liner-changed equation that is proposed is the flowing []. This equation is an exponential function.
Category: Functions and Analysis
[6] viXra:2406.0133 [pdf] submitted on 2024-06-22 09:02:33
Authors: Daniel Thomas Hayes
Comments: 4 Pages.
A new method is developed of which is applied to a problem involving a 1D wave equation in disguise.
Category: Functions and Analysis
[5] viXra:2406.0068 [pdf] submitted on 2024-06-13 01:44:03
Authors: Hyon Sung-Yun, Kwang Min-Sok, Myong Hyok-Sin1, Nam Ho-Kim
Comments: 12 Pages.
In this paper, we formulate a continuous-time cobweb model expressed as a conformable fractional derivative in Liouville-Caputo sense, and a continuous-time cobweb model expressed as a beta-type conformable fractional derivative in Liouville-Caputo sense, and obtain an analytical solution of this model and analyze the properties of the solution.We also compare the results of the previous cobweb model solutions with several examples.
Category: Functions and Analysis
[4] viXra:2406.0067 [pdf] submitted on 2024-06-13 20:59:58
Authors: Sin Ryu Song, Ri Kwang, Yun Chol
Comments: 9 Pages.
In this paper, we provide a remarkable method for construction of continued fraction based on a given power series. Then we establish a new continued fraction approximation for the Lugo and Euler—Mascheroni constants. Especially, we analytically determine the coefficients of the Lugo’s asymptotic formula and all parameters of the continued fraction by Bernoulli numbers.
Category: Functions and Analysis
[3] viXra:2406.0066 [pdf] submitted on 2024-06-13 20:59:26
Authors: Ji Won Pak, Kwang Chol Kim, Kwang Song Han
Comments: 15 Pages.
Many software reliability growth models are proposed to be used in practice. However, most software reliability growth models suffer in the realistic software testing environment due to the unrealistic assumptions, such as perfect debugging, constant fault detection rate and regular changes. In fact, considering more reasonable assumptions in the reliability modeling may further improve the fitting and predictive power of software reliability growth models. It is affected by many factors, such as tester’s skill, test plans, testing tools and runtime environment. Thus, software debugging is an imperfect process. And software testing for getting fault data set is done under the assumption that user’s operation environment is the same as the testing one. However, in practice, it is exactly the same. This paper deals with a software reliability growth model which considers imperfect debugging and disagreement between operation environments. The better performance of proposed model is illustrated with fault data sets from software development project.
Category: Functions and Analysis
[2] viXra:2406.0047 [pdf] submitted on 2024-06-11 19:26:15
Authors: Edgar Valdebenito
Comments: 3 Pages.
In this note we solve an equation with radicals and give two series for Pi.
Category: Functions and Analysis
[1] viXra:2406.0036 [pdf] submitted on 2024-06-09 03:31:05
Authors: Biruk Alemayehu Petros
Comments: 11 Pages. This is continuation of published result.
This paper presents an analytic solution to the Navier-Stokes equations for incompressible fluid flow with a periodic initial velocity vectorfield. Leveraging Fourier series representations, the velocity fields are expressed as expansions, accounting for their temporal evolution. Thesolution’s existence and smoothness are verified by demonstrating its consistency with the Navier-Stokes equations, including the incompressibilitycondition and pressure compatibility. The proposed solution contributes to understanding fluid dynamics and offers insights into the millennium prize problem related to the Navier-Stokes equations. This work lays the groundwork for further investigations into fluid flow behavior under various conditions and geometries, combininganalytical and numerical approaches to advance our understanding of fluid dynamics.
Category: Functions and Analysis
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