increasing function


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Related to increasing function: strictly increasing function

increasing function

[in′krēs·iŋ ‚fəŋk·shən]
(mathematics)
A function, ƒ, of a real variable, x, whose value gets larger as x gets larger; that is, if x <>y, then ƒ(x) <>y). Also known as strictly increasing function.
References in periodicals archive ?
To review, the sustainability of the tourism industry in Varanasi is an increasing function of the cleanup rate.
Let f be an increasing function such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
t] '(x) is a strictly monotonically increasing function, it has a homologous inverse function.
Collected unreported taxes and penalties, x, is an increasing function of audit effort (f(x, [a.
Besides, the required primary budgetary surplus is an increasing function of the variance of the interest rate on national bonds ([[sigma].
The real sales price of house j is expected to be an increasing function of the above characteristics, except the number of stories, for which one might expect a negative effect.
1) has a unique nonnegative continuous solution u, and u (vt,t) is a strictly increasing function of t.
n,k]([lambda], c) (for a fixed value of k and n > 0) is a strictly increasing function of [lambda].
Since [empty set](n) = - |[lambda]n - 1| + 2n[alpha] - n[lambda] - 1 is an increasing function of n(n [greater than or equal to] 0) for 0 [less than or equal to] [lambda] [less than or equal to] 1 and [alpha] > 1, we obtain
For 3 [less than or equal to] k [less than or equal to] n - 1, it is clear that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], which implies that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a strictly monotone increasing function of t.
h] (r) is an increasing function of r, it follows from Lemma 1,Lemma4, and the inequality [T.