cusp%20form
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11: 36.10 Differential Equations
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►In terms of the normal form (36.2.1) the satisfy the operator equation
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, cusp:
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, cusp:
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►In terms of the normal forms (36.2.2) and (36.2.3), the satisfy the following operator equations
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12: Bibliography P
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The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic.
Philos. Mag. (7) 37, pp. 311–317.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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13: 20 Theta Functions
Chapter 20 Theta Functions
…14: Bibliography W
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The Nahm equations, finite-gap potentials and Lamé functions.
J. Phys. A 20 (10), pp. 2679–2683.
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The Stokes set of the cusp diffraction catastrophe.
J. Phys. A 13 (9), pp. 2913–2928.
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15: 26.3 Lattice Paths: Binomial Coefficients
16: 25.20 Approximations
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Cody et al. (1971) gives rational approximations for in the form of quotients of polynomials or quotients of Chebyshev series. The ranges covered are , , , . Precision is varied, with a maximum of 20S.
17: 26.5 Lattice Paths: Catalan Numbers
18: 25.12 Polylogarithms
19: 27.2 Functions
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►Euclid’s Elements (Euclid (1908, Book IX, Proposition 20)) gives an elegant proof that there are infinitely many primes.
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►An equivalent form states that the th prime (when the primes are listed in increasing order) is asymptotic to as :
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