Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Relations for Coefficients of Fractional Parentage--the Redmond
  Recursion Formula with Seniority   We find a relationship between coefficients of fractional parentage (cfp)
obtained on the one hand from the principal parent method and on the other hand
from a seniority classification. We apply this to the Redmond recursion formula
which relates $n \to n+1$ cfp's to $n-1 \to n$ cfp's where the principal parent
classification is used. We transform this to the seniority scheme. Our formula
differs from the Redmond formula inasmuch as we have a sum over the possible
seniorities for the $n \to n+1$ cfp's, whereas Redmond has only one term.

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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph