implicit function

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implicit function

[im′plis·ət ′fəŋk·shən]
(mathematics)
A function defined by an equation ƒ(x,y) = 0, when x is considered as an independent variable and y, called an implicit function of x, as a dependent variable.
References in periodicals archive ?
Let [lambda] denote the state where the loss is equal to the cap; [lambda] is implicitly defined by the condition L(I, [lambda]) - k = 0.
Since the optimal investment is implicitly defined by
The 'Britain' of the title is implicitly defined throughout the collection as English and metropolitan; indeed, to be precise, London.
They leave the properties of the implicitly defined quantity indexes for the reader to infer.
This brute acceptance constitutes one's grasp of the concept of truth, and therefore the truth predicate is implicitly defined by the equivalence schema.
u~ of the underinvestment event is implicitly defined by the condition |Pi~ - I(|s.
Therefore V is only implicitly defined by equation (1), and generally cannot be explicitly calculated(2).
Equation (1) can now be rewritten as: (2) [Mathematical Expression Omitted] with: (3) [Mathematical Expression Omitted] V is still implicitly defined since it appears on the left-hand side in (3).