“Parseval’s identity”的概念、定义、翻译、参考文献-科学参考

单词	Parseval’s identity
释义	Parseval’s identity Mathematics The identity states that $⃦ x ⃦^{2} = \sum_{i = 1}^{n} {\| 〈 x, x_{i} 〉 \|}^{2}$ for a orthonormal basis x₁, x₂, …, x_n of a finite-dimensional inner product space X and x∈X. This is a generalization of Pythagoras’ Theorem. The identity holds for an orthonormal sequence in an infinite-dimensional Hilbert space if and only if the sequence is complete, or equivalently, a Schauder basis. Compare Bessel’s inequality.
随便看	Lambert’s law Lambert’s laws Lamb, Hubert Horace Lamb, Hubert Horace (1913–97) Lamb shift Lamb, Sir Horace Lamb, Willis Eugene, Jr. Lamb’s dust-veil index lamella lamellar lamellar solids Lamellibranchia lamellipodium La Mettrie, Julien Offroy de (1709–51) lamin lamina laminar flow laminate laminated core lamination laminin laminite laminoid fenestrae Lami’s Theorem Lamont, Johann von

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