Due to the high degree of conservation of pattern 3 in almost every, but not all, remaining CAP families evaluated, one can certainly assume that pattern 3 is functional and that the likeliest and most reasonable function for pattern 3 is flap (by position and by motif similarity to the true empirically characterized flaps).
The ideal bio-adaption of the Mg alloy stent, once implanted into the blood vessel, needs to be a reasonable function of the time and the space/dimension.
We demonstrate that the new definition of the reasonable function produces qualitatively accurate curvature profile of the response which is absent in the existing QSIM.
We consider a new definition of the reasonable function by introducing the concept of the point of inflection, We generate the new tables for P-transitions and I-transitions and ultimately justify the need of the new definition of the reasonable function.
Now, we introduce the following definitions: For a given reasonable function ω:(0,1] → [0,∞) and for 0 < α < ∞. An analytic function f on Δ is said to belong to the α -weighted Bloch space ℬ ω α Open image in new windowif ∥ f ∥ ℬ ω α = sup z ∈ Δ ( 1 − | z | ) α ω ( 1 − | z | ) | f ′ ( z ) | < ∞. Open image in new window. For a given reasonable function ω:(0,1] → [0,∞) and for 0 < α < ∞.
Thus, a reasonable function g should lead to a frame ({E_{mb}T_{na}g }_{m,n in mathbb {Z}}) for values ((ab)^{-1}) that are reasonably close to one.
Moreover, the fully constrained prosthesis provided the patient the ability to return to reasonable function following the resection of a large distal segment of the ulna, although other prosthesis models have been used with good results (Table 3).
Now, given a reasonable function ω : (0,1] → [0,∞), the weighted Bloch space ℬ ω Open image in new window (see[10]) is defined as the set of all analytic functions f on Δ satisfying ( 1 − | z | ) | f ′ ( z ) | ≤ Cω ( 1 − | z | ), z ∈ Δ, Open image in new window.
For a given reasonable function ω : ( 0, 1 ] → ( 0, ∞ ), the weighted Bloch space B ω of several complex variables is defined as the set of all analytic functions f on B n satisfying ( 1 − | z | ) α | ∇ f ( z ) | ≤ C ω ( 1 − | z | ), z ∈ B n, where α ∈ ( 0, ∞ ), for some fixed C = C f > 0. In the special case where ω ≡ 1, B ω reduces to the classical Bloch space ℬ in C n.
