canonical denominator (or numerator)
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21—30 of 45 matching pages
21: 33.8 Continued Fractions
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βΊThe ambiguous sign in (33.8.4) has to agree with that of the final denominator in (33.8.1) when the continued fraction has converged to the required precision.
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22: 3.10 Continued Fractions
23: 23.12 Asymptotic Approximations
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23.12.2
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24: 24.10 Arithmetic Properties
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βΊThe denominator of is the product of all these primes .
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25: 33.6 Power-Series Expansions in
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33.6.5
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26: 23.21 Physical Applications
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βΊIn §22.19(ii) it is noted that Jacobian elliptic functions provide a natural basis of solutions for problems in Newtonian classical dynamics with quartic potentials in canonical form .
The Weierstrass function plays a similar role for cubic potentials in canonical form .
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27: 17.11 Transformations of -Appell Functions
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17.11.2
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28: 33.11 Asymptotic Expansions for Large
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33.11.1
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29: 36.4 Bifurcation Sets
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, fold bifurcation set:
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30: 10.72 Mathematical Applications
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βΊThe canonical form of differential equation for these problems is given by
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