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Jump to navigationJump to searchRelationship between Ploidy, Alleles and Genotypes (view source)
Revision as of 10:08, 19 May 2015
, 10:08, 19 May 2015→Getting the index of a genotype in an enumerated list given a ploidy and alleles
0 & \text{otherwise}
0 & \text{otherwise}
\end{cases}
\end{cases}
\end{align}
</math>
Because <math>a_k</math> may be 0, we will see cases of <math>\binom{k-1}{-1}</math> when <math>a_k=0</math>. This is alright because of the definition of <math>\binom{n}{r}</math>.
But to make it more readable, we can define the function equivalently as:
<math>
\begin{align}
G(a_1,.. , a_P) = \sum_{k=1}^P \binom{k+a_k-1}{k}
\end{align}
\end{align}
</math>
</math>
