Compute the Jacobian 
of the map 
as a function of 
and 
.
Definitions:
Truth-functional
Truth-functional refers to a property of logical connectives wherein the truth value of a statement is determined solely by the truth values of its components.
Quantifier
An operator in logic that identifies how many elements in the scope of discussion meet the criteria of an open formula.
Atomic
Relating to atoms, the smallest unit of a chemical element that retains its chemical properties.
Compound
A substance made up of two or more elements chemically combined in fixed proportions.
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