Wronskian

[′vrän·skē·ən] (mathematics) An n × n matrix whose i th row is a list of the (i - 1)st derivatives of a set of functions f₁, …, f_n; ordinarily used to determine linear independence of solutions of linear homogeneous differential equations.

Wronskian

a functional determinant composed of n functions f₁(x), f₂(x)....,f_n(x) and their derivatives up to the order n - 1 inclusive:

The vanishment of the Wrońskian [W(x) = 0] is a necessary and, under certain additional assumptions, a sufficient condition for the linear dependence between the given n functions, differentiated n - 1 times. Based on this, the Wrońskian is used in the theory of linear differential equations. The Wrońskian was introduced by J. Wroński in 1812.

单词	wronskian
释义	Wronskian Wronskian [′vrän·skē·ən] (mathematics) An n × n matrix whose i th row is a list of the (i - 1)st derivatives of a set of functions f₁, …, f_n; ordinarily used to determine linear independence of solutions of linear homogeneous differential equations. Wronskian a functional determinant composed of n functions f₁(x), f₂(x)....,f_n(x) and their derivatives up to the order n - 1 inclusive: The vanishment of the Wrońskian [W(x) = 0] is a necessary and, under certain additional assumptions, a sufficient condition for the linear dependence between the given n functions, differentiated n - 1 times. Based on this, the Wrońskian is used in the theory of linear differential equations. The Wrońskian was introduced by J. Wroński in 1812.
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