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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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Given this roll-call of prominent works, I find it frustrating that area scholars today continue to use so-called ethnic names like "Yoruba" with little qualification, despite the knowledge that they are recent terms, invented during the colonial and nationalist eras, and that they include what were once (and in some areas still are) multiplicities of peoples, languages, beliefs, and customs. Like Marjetica Potrc, Kyong Park, and Multiplicities, the group moves between architecture and art. x(2), x(n) be the eigenvalues of A, listed with algebraic multiplicities. |
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