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= Introduction =
 
= Introduction =
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Ploidy, alleles are independent characteristics that give rise to genotypes.
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The VCF format encodes genotypes by the index of the enumeration of genotypes give a ploidy number and alleles.
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Ploidy and alles are independent of one another while genotypes are a function of them.
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= Table =
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= Motivation =
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While there are explicit functions that could be googled for handling haploid and diploidy cases.  It seems to be difficult to find the closed forms for the general case.
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This wiki fills in that need.  The cases where one requires such extensions is when pooled samples are studied or when plant species that exhibit a diverse number of
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ploidy.
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= The number of genotypes given a ploidy and alleles =
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<math>
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  \begin{align}
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F(P,A) =    \begin{cases}
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3x + 5y +    , A<P= 1 \\
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7x - 2y + 4z  , A>=P
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\end{cases}
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  \end{align}
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</math>
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= The indexing of genotypes given a ploidy and alleles =
     
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