Fix typos in README.dependencies
There was a logic error in a formula, reported by Atsushi Torokoshi.
Ashutosh Bapat furthermore recommended to change notation for a variable
that was re-using a letter from a previous formula, though his proposed
patch contained a small error in attributing what the new letter is for.
Also, instead of his proposed d' I ended up using e, to avoid confusing
the reader with quotes which are used differently in the explaining
prose.
Bugs appeared in commit 2686ee1b7c
.
Reported-by: Atsushi Torikoshi, Ashutosh Bapat
Discussion: https://postgr.es/m/CAFjFpRd03YojT4wyuDcjhCfYuygfWfnt68XGn2CKv=rcjRCtTA@mail.gmail.com
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@ -79,20 +79,21 @@ to break the consistency.
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Clause reduction (planner/optimizer)
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------------------------------------
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Applying the functional dependencies is fairly simple - given a list of
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Applying the functional dependencies is fairly simple: given a list of
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equality clauses, we compute selectivities of each clause and then use the
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degree to combine them using this formula
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P(a=?,b=?) = P(a=?) * (d + (1-d) * P(b=?))
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Where 'd' is the degree of functional dependence (a=>b).
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Where 'd' is the degree of functional dependency (a => b).
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With more than two equality clauses, this process happens recursively. For
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example for (a,b,c) we first use (a,b => c) to break the computation into
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P(a=?,b=?,c=?) = P(a=?,b=?) * (d + (1-d)*P(b=?))
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P(a=?,b=?,c=?) = P(a=?,b=?) * (e + (1-e) * P(c=?))
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and then apply (a=>b) the same way on P(a=?,b=?).
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where 'e' is the degree of functional dependency (a,b => c); then we can
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apply (a=>b) the same way on P(a=?,b=?).
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Consistency of clauses
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