monotonic


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monotonic

[¦män·ə¦tän·ik]
(science and technology)

monotonic

In domain theory, a function f : D -> C is monotonic (or monotone) if

for all x,y in D, x <= y => f(x) <= f(y).

("<=" is written in LaTeX as \sqsubseteq).
References in periodicals archive ?
We define the family of non-monotonic access structure [??]: For each monotonic access structure A , the corresponding non-monotonic access structure is NM(A) over a set of parties [??], where [??] is a set of all the unprimed parties in P .
In order to assess the importance of the rejuvenation process, three additional monotonic tensile tests were performed using specimens in an as-received condition (aged specimens whose thermal history was unknown).
The monotonic model parameters include cohesive strength [[sigma].sub.max,0], cohesive length [[delta].sub.0], and cohesive energy [[GAMMA].sub.0].
Both the uniaxial monotonic and cyclic compression tests were carried out according to the code [22] in a closed-loop servo-controlled compression test machine.
In Table 2 are presented the estimates of the monotonic tensile strength, namely the ultimate strength, fu, the yield strength, f, the elongation at the fracture, A, the reduction in cross section at fracture, Z, and elastic properties, such as Young's modulus, E, and Poisson's ratio, v, of all the materials from old Portuguese metallic bridges.
The wear becomes slower in the section from 4500 m to 5600 m--the initial wear is getting converted to the monotonic one.
These findings are consistent with a prior study and suggest that deeper local penetration of the rivet head can result in delamination and fiber breakage in a continuous fiber composite, thereby leading to lower monotonic performance of the SPR joints [23].
The material parameters were optimized to simultaneously correlate with the tested equivalent stress-strain curves under different monotonic loading conditions, if available.
Graphical representation of monotonic behaviour of [L.sup.[xi]] (A) for ([xi] < 1) is shown in Figure 1.
145]), the function [Y.sup.v.sub.[rho],r](x) is completely monotonic on (0, [infinity]) for all x >0.
According to the experimental observations, the viscoplastic deformation in a monotonic tensile test is much smaller than the total one before the strain softening occurs.

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