principal
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11—20 of 242 matching pages
11: 6.6 Power Series
12: 26.20 Physical Applications
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►Applications of combinatorics, especially integer and plane partitions, to counting lattice structures and other problems of statistical mechanics, of which the Ising model is the principal example, can be found in Montroll (1964), Godsil et al. (1995), Baxter (1982), and Korepin et al. (1993).
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13: 27.8 Dirichlet Characters
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27.8.4
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►An example is the principal character (mod ):
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►where is a character (mod ) for some induced modulus for , and is the principal character (mod ).
…If is odd, then the real characters (mod ) are the principal character and the quadratic characters described in the next section.
14: 6.4 Analytic Continuation
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►Analytic continuation of the principal value of yields a multi-valued function with branch points at and .
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6.4.3
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►Unless indicated otherwise, in the rest of this chapter and elsewhere in the DLMF the functions , , , , and assume their principal values, that is, the branches that are real on the positive real axis and two-valued on the negative real axis.
15: 10.2 Definitions
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§10.2(ii) Standard Solutions
… ►The principal branch of corresponds to the principal value of (§4.2(iv)) and is analytic in the -plane cut along the interval . … ►The principal branch corresponds to the principal branches of in (10.2.3) and (10.2.4), with a cut in the -plane along the interval . … ►The principal branches correspond to principal values of the square roots in (10.2.5) and (10.2.6), again with a cut in the -plane along the interval . … ► …16: 4.8 Identities
17: 4.5 Inequalities
18: 22.14 Integrals
19: 5.10 Continued Fractions
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5.10.1
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