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system of equations 方程组 system of nonlinear equations 非线性方程组 irreducible system of equations 不可约方程组 相似单词 system n. 1.系统 2.制度;体制 3.[the system]既成秩序;现政府,统治集团 4.理论体系 5.方法 6.分类原则 7.条理;秩序 8.系统;身体;组织 9.宇宙;世界 homogeneous a.由...
A homogeneoussystem of equationsis a system in which the vector of constants on the right-hand side of the equals sign is zero. In this lecture we provide a general characterization of the set of solutions of a homogeneous system. Definition A homogenous system has the form where is a matri...
in munknowns, where k^ n.The use of conservation conditions for the elements in the chemical equation affords a nonconventional approach for the generation of some of the integral solution sets of the Diophantine equations and the integral solutions of the system of homogeneous linear equations.doi...
A non-homogeneous system of equations is a system in which the vector of constants on the right-hand side of the equals sign is non-zero. This lecture presents a general characterization of the solutions of a non-homogeneous system.
A zero vector is always a solution to anyhomogeneous system of linear equations. For example, (x, y) = (0, 0) is a solution of the homogeneous system x + y = 0, 2x - y = 0. Sometimes, a homogeneous system has non-zero vectors also to be solutions, To find them, we have to...
Stiff systems of ordinary differential equations. Part 1. Completely stiff, homogeneous systems For the completely stiff real homogeneous systemwhere e is a small positive parameter, a method is given for the construction of a basis for the solution space.If A has n linearly independent eigenvector...
In mathematics, an autonomous system or autonomous differential equation is a system of ordinary differential equations which does not explicitly depend on the independent variable. [1] 特性(intuition):系统状态(即表征系统动态行为的微分方程的自变量)的变化行为仅仅依赖于初始状态 x0 ,而不依赖于初始时间 ...
Caution: The number of vector s in the fundamental system of solutions is equal to the number of unknown var iables minus the r ank of the matr ix. Deduction: For homogeneous linear equations: if r(A)=n, they have a unique zero solution. ...