On Finding Geodesic Equation of Two Parameters Logistic Distribution

• 作者: William W. S. Chen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: DARBOUX Theory DIFFERENTIAL Geometry GEODESIC EQUATION ISOTROPIC CURVES Logistic Distribution Minimal CURVES Partial DIFFERENTIAL EQUATION
• 年，卷（期）: 2015,（12）
• 页码范围: 2169-2174
• 页数: 6页
• 分类号: O1

摘要

In this paper, we used two different algorithms to solve some partial differential equations, where these equations originated from the well-known two parameters of logistic distributions. The first method was the classical one that involved solving a triply of partial differential equations. The second approach was the well-known Darboux Theory. We found that the geodesic equations are a pair of isotropic curves or minimal curves. As expected, the two methods reached the same result.