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If the inequality delay(i) + delay(j) > Tstage holds for any two adjacent operators i and j on the dataflow graph, then ConflictRelation = PrecedenceRelation.
Actually, the fact that g 1 is isotropic allows to write the whole family (1) in terms of all the operators (i) to (iv).
The following operators are bounded linear operators: (i) (T: L^{p(x)}(Omega,mathrm{C}ell_{n}) rightarrow W^{1,p(x)}(Omega,mathrm{C}ell_{n})).
The following operators are bounded linear operators: (i) (D: W^{1,p(x)}(Omega,mathrm{C}ell_{n}) rightarrow L^{p(x)}(Omega,mathrm{C}ell_{n})).
The time constraint describes the requirement that the time delay between two operators i and j must not be larger than Tstage if the operators are scheduled to one pipeline stage s: x s, i × x s, j × g i, j ≤ T stage for i, j ∈ N and s ∈ K, (12).
More precisely (the current system uses additional regular expression tokens not described here, notably to control the clarity of operators): (i)" " stands for one operator whose type is, (ii)" " stands for a composition of several operators, all of which have types, (iii)" " stands for several operators whose final type is (the types of the other operators are arbitrary).
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We assume that the operators ((I-{S^{i}_{x}}{S^{j}_{y}})) and H defined: L1→L1 are continuous, and in addition, H does not annihilate the constants, in particular (H.1≠0).
Hence, the mobility of operator i is given by alap(i -asap(i -asap
Let (A_{i}: C rightarrow E) be m-accretive operator, (i = 1,2, ldots,N).
Since (W_{0}) is compactly embedded in (L_{0}^{p}(Omega )), the inclusion operator i is compact.
This means that K n is a finite rank operator, i.e., it is compact.
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CEO of Professional Science Editing for Scientists @ prosciediting.com