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Without admitting the spatial shifts, the assertion of the theorem is false: given a minimizer (rho_{0}) and a sequence of shift vectors ((a_{n} e_{3} )in{mathbb{R}}^{3}), the functional F is translation invariant, that is, (F(Trho)=F(rho)).
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Those strong crosswinds have brought an extraordinary sequence of shifts and nuance and near contradictions from the Japanese leader about the agreement, which establishes a timetable for strictly limiting the carbon emissions of industrial nations.
This mixture of random justice and predestination gives to Naipaul's fiction – in lieu of straightforward linearity – a tantalising, slightly alarming, circular musicality, a kind of pass-the-parcel sequence of shifting the weight from one person, one centre, to another.
Reversal learning can be accomplished very rapidly when a laboratory animal, such as a monkey, is presented with a series of reversal-learning problems in which the same sequence of shifts is repeated (as when black is initially correct, then white, then black, then white, and so on).
The expectation value of the particle position becomes unpredictable with respect to the initial state label after long times and one can show that the sequence of shifts of the quantum state labels is algorithmically complex.
Therefore, our approach is to determine a sequence of shifts so that for each cross-section there exists some deterministic center of mass ( left({c}_x^y,{c}_x^zright) ) so that Equation 3 is nearly satisfied.
The set of sequences { t k j }, t k j = t k + j − t k, k ∈ Z, j ∈ Z, { t k } ∈ I is uniformly almost periodic if and only if from each infinite sequence of shifts { t k − α n }, k ∈ Z, n = 1, 2, … , α n ∈ R, we can choose a subsequence which is convergent in I. Definition 2.3 ([18]).
Our aims with this survey were to assess how stable SWS1 cone sensitivity has been in the course of passerine evolution and to trace the evolutionary sequence of shifts in spectral tuning.
Our findings suggest that the initial stages in axon regeneration are also driven by a sequence of shifts in the balance between opposing activities of MT destabilizers such as EFA-6 and MT growth promoting factors such as TAC-1 and ZYG-8.
Jarmusch creates superbly lyrical sequences of shifting multiple exposures, with Driver's voice reciting Paterson's (rather, Padgett's) poems while they're superimposed on the screen in Paterson's handwriting.
This may be partly addressed by the appropriate sequencing of shifts, and also by engaging junior doctors in rota design to benefit their well-being and performance.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com