The phrase "a nondecreasing function from" is correct and usable in written English.
It is typically used in mathematical contexts to describe a function that does not decrease as its input increases.
Example: "Let f be a nondecreasing function from the set of real numbers to itself."
Alternatives: "a monotonically nondecreasing function from" or "a function that is nondecreasing from".
Let be a nondecreasing function from into itself satisfying.
Since, we can define a nondecreasing function from into such that.
Let φ be a nondecreasing function from ((0,infty )) into itself.
Since f is a nondecreasing function, from (15) we have (lim_{nrightarrowinfty}d(x_{n},F(T))=0).
A distance distribution function (briefly, a d.d.f). is a nondecreasing function from into that satisfies and, and is left-continuous on ; here as usual,.
Let θ be a nondecreasing function from ((0,infty )) into itself and define a subset R of ((0,infty )^{2}) by R = bigl{ bigl( theta (t), theta (u) bigr) : (t,u) in Q bigr}.
(iii) There exist a subset Q of (mathbb {R}) and a nondecreasing function ψ from Q into Q satisfying (Thetasubset Q subsetTheta_{leq}), lim_{n toinfty} psi^{n} (tau) = infTheta for any (tauin Q) and (theta u) leqpsicirctheta(t)) for any ((t,u) in D).
There exist a subset Q of (mathbb {R}) and a nondecreasing function ψ from Q into Q satisfying (Thetasubset Q subsetTheta_{leq}), lim_{n toinfty} psi^{n} (tau) = infTheta for any (tauin Q) and (theta u) leqpsicirctheta(t)) for any ((t,u) in D).
where κ is a concave nondecreasing function from R + to R + such that κ ( 0 ) = 0, κ ( u ) > 0 for u > 0.
with κ 1 is a concave nondecreasing function from R + to R + such that κ 1 ( 0 ) = 0, κ 1 ( u ) > 0 for u > 0 is fulfilled, then condition (3.1) is satisfied with κ ( u ) = u κ 1 ( u ) ∨ p − 1 2 κ 1 ( u ).
Let be a complete metric space, a proper l.s.c. and bounded from below function, a nondecreasing function, and a -function on with being l.s.c. for each.
