Linear System in general form for Hyperbolic type

3 + 1 General Relativity In Hyperbolic Form

Hyperbolic-type Generalized Lorenz Chaotic System and Its Canonical Form

Abstract: This paper shows that a large class of chaotic systems, introduced in (Čelikovský and Vaněček, 1994), (Vaněček and Čelikovský, 1996) as the generalized Lorenz system, can be further generalized to the hyperbolic-type generalized Lorenz system. While the generalized Lorenz system unifies both the famous Lorenz system and new Chen’s system (Ueta and Chen, 1999), (Chen and Ueta, 2000), t...

Solving Fully Fuzzy Linear System of Equations in General Form

In this work, we propose an approach for computing the positive solution of a fully fuzzy linear system where the coefficient matrix is a fuzzy n×n matrix. To do this, we use arithmetic operations on fuzzy numbers that introduced by Kaffman in [18] and convert the fully fuzzy linear system into two n× n and 2n× 2n crisp linear systems. If the solutions of these linear systems don’t satisfy in p...

Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method

In this paper, we propose the least-squares method for computing the positive solution of a $mtimes n$ fully fuzzy linear system (FFLS) of equations, where $m > n$, based on Kaffman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider all elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of the fuzzy number vector solution of ...

General Form of Linear Contrast


 Linear Contrasts 
 Week 4 Prof. Patrick Bennett Omnibus vs. Focussed F tests • A significant omnibus F test supports a very general hypothesis not all means are equal not all group effects are zero • Significant F doesn’t tell us how group means differ • Generality of omnibus F often comes at cost of reduced power Bennett, PJ PSY710 Chapter 3 Ȳ u is simply the mean of the group means; di↵eren...