Null curves

Part 1 of ebook "Clinical data analysis on a pocket calculator: Understanding the scientific methods of statistical reasoning and hypothesis testing (Second edition)" provides readers with contents including: Chapter 1 - Data spread, standard deviations; Chapter 2 - Data summaries, histograms, wide and narrow gaussian curves; Chapter 3 - Null-hypothesis testing with graphs; Chapter 4 - Null-hypothesis testing with the T-table; Chapter 5 - One-sample continuous data (One-sample T-test, One-sample Wilcoxon test); Chapter 6 - Paired continuous data (Paired T-test, Wilcoxon signed rank test); C...

160p daonhiennhien 03-07-2024 2 1   Download

In this paper, we study the basic results on the general study of null curves in the Minkowski 4-space R4 1. A transversal vector bundle of a null curve in R4 1 is constructed using a frenet Frame consisting of two real null and two space-like vectors. The null curves are characterized by using the Frenet frame.

8p danhdanh27 07-01-2019 19 1   Download

We show a correspondence between the evolute of a null curve and the involute of a certain spacelike curve in the 4 -dimensional Minkowski space. Also we characterize pseudo-spherical null curves in the ndimensional Minkowski space in terms of the curvature functions.

8p tuongvidanh 06-01-2019 26 1   Download