wronskian

[rän-skē-ən]

wronskian Definition

  • 1a mathematical concept used in differential calculus
  • 2a determinant used to determine the linear independence of a set of functions

Using wronskian: Examples

Take a moment to familiarize yourself with how "wronskian" can be used in various situations through the following examples!

  • Example

    The Wronskian of two solutions of a homogeneous linear differential equation is zero if and only if they are linearly dependent.

  • Example

    The Wronskian can be used to determine whether a set of functions is linearly independent or not.

Origins of wronskian

named after the Polish mathematician Józef Hoene-Wroński

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Summary: wronskian in Brief

'Wronskian' [rän-skē-ən] is a mathematical concept used in differential calculus. It refers to a determinant that is used to determine the linear independence of a set of functions. For example, 'The Wronskian can be used to determine whether a set of functions is linearly independent or not.'