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单词 hypergeometric
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Examples ofhypergeometric

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The equation admits exact solutions in terms of confluenthypergeometricfunctions.
From theCambridge English Corpus
The moving interfaces are parameterized by conformal maps given in terms ofhypergeometricfunctions.
From theCambridge English Corpus
These solutions again express the free boundary in terms of a conformal mapping from a known auxiliary domain, but the conformal mapping is here given in terms ofhypergeometricfunctions.
From theCambridge English Corpus
The fact that this 0.d. e. is the wellknown confluenthypergeometricequation is not critical ; the methods of saddlepoint approximation and turning-point analysis used are quite general.
From theCambridge English Corpus
As in the previous subsection, there are 3 strong regular singularities, so we can represent the solution as a linear combination of solutions ofhypergeometricfunctions.
From theCambridge English Corpus
The statement (3) can be proved by usinghypergeometricfunction.
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Rather, one should use the exact distribution, which ishypergeometric.
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A useful framework for working with these functions is the class of generalizedhypergeometricfunctions.
From theCambridge English Corpus
The most sophisticated is to calculate the selection response assuming a discretehypergeometricdistribution, with variance derived from (15).
From theCambridge English Corpus
The advantage of this is that solutions to thehypergeometricequation are well-known.
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The second linearly independent solution can also be obtained and is also a linear combination ofhypergeometricfunctions.
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In this case, the exact weights of different groups are given by ahypergeometricdistribution.
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This enables us, for = 0, to express its solutions in terms ofhypergeometricfunctions.
From theCambridge English Corpus
So, there are actually 6 auxiliary spaces associated with 6hypergeometricequations of which the spaces (4.4)-(4.7) are only two of them.
From theCambridge English Corpus
The response is found to be given as the difference between two summed series, where each term in the series involves the confluenthypergeometricfunction.
From theCambridge English Corpus
The solution for this case (which satisfies the appropriate free-stream boundary condition) is given by a confluenthypergeometricfunction.
From theCambridge English Corpus
The most basic example for the martingale inequalities involves the binomial distribution: here we include thehypergeometricdistribution naturally in the same inequalities.
From theCambridge English Corpus
His method uses a sequential sampling scheme involving ahypergeometricprobability distribution to determine the required sample size for this verification.
From theCambridge English Corpus
The second is the distribution of magnitudes of complexity cascades, which occur ashypergeometricruns.
From theCambridge English Corpus
Instead, we use explicit relations for thehypergeometricand confluenthypergeometricfunctions, which, as we shall see below, have themselves the form of the isomonodromy mappings.
From theCambridge English Corpus

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

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