positive definite

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positive definite [′päz·əd·iv ′def·ə·nət]

(mathematics)

A square matrixAof ordernis positive definite iffor every choice of complex numbersx₁,x₂, …,x_n, not all equal to 0, where x̄_jis the complex conjugate ofx_j.

A linear operatorTon an inner product space is positive definite if 〈Tu,u〉 is greater than 0 for all nonzero vectorsuin the space.

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inner product

Lyapunov function

Rayleigh's dissipation function

relativistic quantum theory

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