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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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The numerosity and representativity of the available cancer registries also put constraints on the geographical classification. For the remaining cells, the result is logically deducible on the basis of information about relative numerosity alone; if one knows the relative numerosity of the initial amounts and the relative numerosity of the amounts involved in the transformations, then the relative numerosity of the final amounts can be deduced logically. The arguments for domain specificity and numerosity are several, but a few key ones involve problem specificity and combinatorial explosion. |
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