nondegeneracy

[non-di-jen-er-uh-see]

nondegeneracy Definition

the state or quality of not being degenerate, especially in mathematics where it refers to a property of functions or matrices that ensures they have unique solutions.

Using nondegeneracy: Examples

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

  • Example

    The nondegeneracy of the matrix guarantees that there is a unique solution to the system of equations.

  • Example

    The nondegeneracy of the function is crucial for its use in optimization problems.

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Summary: nondegeneracy in Brief

The term 'nondegeneracy' [non-di-jen-er-uh-see] refers to the state or quality of not being degenerate, especially in mathematics where it refers to a property of functions or matrices that ensures they have unique solutions. It is crucial for optimization problems and guarantees unique solutions to systems of equations.