decreasing function

decreasing function

[di′krēs·iŋ ‚fəŋk·shən]
(mathematics)
A function, ƒ, of a real variable, x, whose value gets smaller as x gets larger; that is, if x <>y then ƒ(x) > ƒ(y). Also known as strictly decreasing function.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Several empirical studies have found that net in-migration is indeed a decreasing function of the cost of living (Cebula 1978, 1979; Renas and Kumar 1978, 1983; Gunderson and Sorenson 2010; Plantinga et al.
In the following, we set [mathematical expression not reproducible] and [mathematical expression not reproducible], where [mathematical expression not reproducible] and [mathematical expression not reproducible], and [[phi].sub.1] is a monotonically decreasing function of [[bar.I].sup.c.sub.i] .
This curve implies that at low marginal tax rates, tax revenues are an increasing function of tax rates, while at high marginal rates, tax revenues are a decreasing function of tax rates.
When k = 1, [C.sub.3] is a linearly decreasing function; when k = -1, [C.sub.3] is a linearly increasing function.
Figure 1 illustrates that the vulnerable option price is a decreasing function of default barrier [D.sup.*].
From (29), it is obvious that the loss factor r increases with l + ct - [lambda]t, as f(x) is a decreasing function. Hence, when the buffer size increases, the amount of loss l decreases; then the loss factor r decreases.
holds then the lump sum [??] is a decreasing function of [t.sub.0].
Note that [c.sub.B] (y) is a continuous and monotone decreasing function of y for y > 0, and that [c.sub.B] ([y.sup.[dagger]]) = 0 where
Logistic Model assumes that the function r(x), r(x) = r - sx, s > 0 is the decreasing function of the function x(t), and the linear function of x.
When sedative hypnotics are also prescribed, the downward spiral of decreasing function is exacerbated (Ciccone et al.
In the following we shall prove that F is a decreasing function. It will be sufficient to prove that f is an decreasing function as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] it follows that f is a decresing function.
2, velocity is an increasing function of while shear stress is a decreasing function of .