and obviously it is an increasing function over x.
The maximum of an increasing function over a polyblock is attained at one of its proper vertices.
If dRE > dRD ( σ h 2 < σ g 2 ), ∀P∈ 0, Psubopt), we have C S ′ P > 0 ; ∀P∈(Psubopt, + ∞), we have C S ′ P < 0. Hence, if the destination is much nearer than the eavesdropper is, CS(P) is an increasing function over (0, Psubopt) and a decreasing function over (Psubopt, + ∞), which means that CS(Psubopt) is the maximum of CS(P).
It shows radio-sensitivity is in general an increasing function over tumor volumes for microscopic diseases.
where we maximize an increasing function Φ z) over the intersection of a compact normal set ({mathcal {G}}) and a reverse normal set ({mathcal {H}}).
In brief, over-stimulation leads to increased functions.
The heat release rate due to biological activity is modelled by a function which is a monotonic increasing function of temperature over the range 0⩽T⩽a, whilst for T⩾a it is a monotone decreasing function of temperature.
Furthermore, P sd) is an increasing function of T d over [T m ;+∞].
In this system, spindle length has been found to be an increasing function of cell size, but only over a limited size range [ 58] - in sufficiently large cells, spindle length becomes independent of the size of the cell.
We note that the warping functions w are in the set 𝓜 = { w ∈ C([0, T))|0 ≤ w(t) < L and w(t1) < w(t2), t1 < t2} of continuous, non-negative, and strictly increasing functions bounded by L and defined over the interval [0, T). We then determine a warping function that minimizes the cost function.
