G-monotone if T is edge preserving, i.e., ((T x ,T y))in E(G)) whenever ((x,y in E(G)) for any (x, y in C).
By the linearity of (x^{ast}), this is equivalent to (x^{ast}) being order preserving; i.e. (xleq y) implies (x^{ast}(x leq x^{ast} y)).
Remark 2.2 If we relax the definition of the G-graphic contraction, by replacing the condition (1) f is edge preserving, i.e., ( x, y ) ∈ E ( G ) implies ( f ( x ), f ( y ) ) ∈ E ( G ) . f is edge preserving, i.e., ( x, y ) ∈ E ( G ) implies ( f ( x ), f ( y ) ) ∈ E ( G ). with.
Indeed, there appears to be a substantial room to reduce exposure time, thus decreasing the pixel-scale SNR, while still preserving (i) the high sensitivity stemming notably from the full exploitation of the picture rooted in the correlation approach and (ii) the accuracy brought by the same-image referencing.
In this framework, reconfigurations are classified as (i unobtrusive, when the original behaviour is completely preserved; (i i expansive, when new behaviour is added, but still preserving the original; (i i i contractive, when part of the original behaviour is removed; and (i v disruptive, when the original behaviour or part of it is not preserved.
Here, we are assuming that the image intensity is preserved: I(x + Δx, y + Δy, t + Δt) = I x, y, t).
Given two categories C and D, a functor F from C to D sends objects of C to objects of D, and morphisms of C to morphisms of D, in such a way that composition of morphisms in C is preserved, i.e., F(g ○ f) = F g) ○ F f), and identity morphisms are preserved, i.e., F idX) = idFX.
We design energy conservative finite volume schemes which preserve (i) the lake at rest steady state in both one and two space dimensions, and (ii) one-dimensional moving equilibrium states.
The simplified model geometry is fit to the detailed model such that it preserves: (i) total membrane area, (ii) input resistance, (iii) time constant and (iv) voltage attenuation for current injection in the soma.
This likely means that in the anesthetized brain the local connectivity (at the MEA scale) is preserved, i.e. the main avalanche pathways remain active.
However, the relative differences in CNV counts across distinct species/breeds were preserved (i.e. T I C A ratio: 45:65:53:66 vs. 75:90:85:89) and the merged CNV region results (count and length) were consistent.
