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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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It consists in the one case in the multiplicity of interests, and in the other in the multiplicity of sects. Again, the poet should remember what has been often said, and not make an Epic structure into a Tragedy--by an Epic structure I mean one with a multiplicity of plots--as if, for instance, you were to make a tragedy out of the entire story of the Iliad. An ancient Hawaiian war-club or spear-paddle, in its full multiplicity and elaboration of carving, is as great a trophy of human perseverance as a Latin lexicon. |
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