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multiplicity |
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multiplicity Physics the number of levels into which the energy of an atom, molecule, or nucleus splits as a result of coupling between orbital angular momentum and spin angular momentum multiplicity [‚məl·tə′plis·əd·ē] (mathematics) A root of a polynomial ƒ(x) has multiplicitynif (x - a)nis a factor of ƒ(x) andnis the largest possible integer for which this is true. The geometric multiplicity of an eigenvalue λ of a linear transformationTis the dimension of the null space of the transformationT - λI, whereIdenotes the identity transformation. The algebraic multiplicity of an eigenvalue λ of a linear transformationTon a finite-dimensional vector space is the multiplicity of λ as a root of the characteristic polynomial ofT. (physics) In a system having Russell-Saunders coupling, the quantity 2S+1, whereSis the total spin quantum number. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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multiple precision arithmetic multiple pregnancy multiple programming multiple reflection multiple reflection echoes multiple resonance multiple root Multiple roots of a polynomial multiple sampling multiple scattering multiple sclerosis multiple series multiple serositis multiple shooting multiple single-level |
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