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Notice that since (alpha x,y)=1), any constructive sequence turns to be regular, and thus X is α-regular.
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In 1976, using condition (i) of Theorem 1.1, Jungck [10] obtained common fixed point for commuting mappings by using a constructive procedure of sequence of iterates.
Isotropic, 0.5 mm thick, high-resolution, strongly T2-weighed CISS sequences (constructive interference in steady state, TR 8.56 msec, TE 4.28 msec, Matrix 256×205, FOV 130 mm) were performed additionally for volumetry of the OB.
Normally, a sequence in constructive mathematics is given by a rule which determines, in advance, how to construct each of its terms; such a sequence may be said to be lawlike or predeterminate.
property circumvents the most crucial part of fixed point theorems consisting of constructive procedures yielding a Cauchy sequence.
A constructive real number is a sequence of rationals (rn) = r1, r2, … such that, for any k, a number n can be computed in such a way that |rn+p − rn| ≤ 1/k.
A narrative is a constructive format in which a sequence of events is described [ 59].
High-resolution three-dimensional T2 sequences, such as constructive interference steady state (CISS), fluid attenuation inversion recovery (FLAIR) and three-dimensional T1 sequences, are useful to depict the degree of parenchymal herniation [69].
Different stacking sequences, taken from constructive practice, have been considered.
A new constructive approach to designing switching sequences is developed so that not only the reachable subspace is realized but also the required number of switchings is reduced significantly.
According to a recent paper, MRI technique can be refined with the acquisition of contrast-enhanced constructive interference in steady-state (CISS) sequences, which improves the visualization of nerve abnormalities within the cavernous sinus.
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