"But you'd start getting incorrect results and eventually components of the circuitry would fuse, rendering the chip inoperable".
If the orbit of x has compact closure, then it converges to a fixed point of T. If instead ( O − ) holds, then, for all x ∈ S, { T 2 n ( x ) } is eventually component-wise monotone.
Theorem 4 Let R be a nonempty subset of R 2. If T is a competitive map for which (O+) holds then for all x ∈ R, { T n ( x ) } is eventually component-wise monotone.
If the orbit of x has compact closure, then it converges to a fixed point of T. If instead (O−) holds, then for all x ∈ R, { T 2 n } is eventually component-wise monotone.
Theorem 2 Let S be a nonempty subset of R 2. If T is a competitive map for which ( O + ) holds, then, for all x ∈ S, { T n ( x ) } is eventually component-wise monotone.
In view of Claim 1, we have that ( S 1 ∪ S 2, ≪ n e ) is a totally ordered set which is invariant under T. If ( x 0, y 0 ) ∈ S 1 ∪ S 2, then { T ( 2 n ) ( x 0, y 0 ) } is eventually component-wise monotone.
Deficient glenoid bone stock can lead to inadequate glenoid baseplate fixation and, eventually, glenoid component loosening and prosthesis failure.
These residual stresses induced by the thermal cycles could cause crack growth and eventually a component fracture during the operating life of the satellite.
The multigene ingredient of the model tends to identify the underlying nonlinear system with expressions simpler than classical monolithic GP and, eventually simplification component exploits Pareto front plot to select a parsimonious model through an interactive complexity-efficiency trade-off.
If moisture is driven deeper inside, corrosion and oxidation may result when minerals from liquids are deposited on the circuitry which could eventually cause component failure inside the phone.
