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We will show that Ψ is a contraction when it is restricted to an appropriate function space X ⊂ C0 which will be defined later in this section.
Consider a mapping L t on C defined by L t x = Q C [ t γ ϕ ( x ) + ( I − t F ) S x ], x ∈ C. It is easy to see that L t is a contraction when 0 < t < ( q C q L q ) 1 q − 1.
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The snag is that even ultra-cheap funding is unlikely to promote much of a lift in lending (or even a slower contraction) when banks are bent on slimming their balance-sheets.And the problem is not just on the supply side of credit, since many firms also need to pay down some of their indebtedness.
The bigger market seems to be pointing to a general contraction when it comes to raising new funds, although startups that are picking up customers and generating revenues are still able to make bank.
The bigger market seems to be pointing to a general contraction when it comes to raising new funds, although startups that are picking up customers and generating revenues are still able to make bank.
An increase in MTS is thus beneficial for a sport such as running, which involves an eccentric contraction when the runner's foot makes contact with the ground, where after plyometric training, the increased MTS results in more stored energy in the series elastic elements and reduces eccentric muscle demand.
for all x, y ∈ X and φ : [ 0, + ∞ ) → [ 0, + ∞ ) is a function satisfying: (i) φ is continuous and nondecreasing; (ii) φ ( t ) = 0 if and only if t = 0 ; (iii) lim t → + ∞ φ ( t ) = + ∞. . φ is continuous and nondecreasing; φ ( t ) = 0 if and only if t = 0 ; lim t → + ∞ φ ( t ) = + ∞. Note that (1.1) reduces to an ordinary contraction when φ ( t ) : = k t, where 0 ≤ k < 1. Theorem 1.1 ([1.1).
For example, electromyography activation of the supraspinatus muscle was 16.68% of a maximal voluntary contraction when elevation at was performed at 30 degrees/s on dry land versus 3.93% when performed in water.These data suggest that shoulder elevation in the water at slower speeds resulted in a significantly lower activation of the rotator cuff and synergistic muscles.
For all three treatments (low dose aphidicolin, emetine, siRNA) there was a bias towards contraction when (CTG 102 was in the lagging strand template, and towards expansion when (CAG 102 was in the lagging strand template.
It is evident that the repeat tract expands from male R6/1/Neil1+/+ parents to offspring, whereas in male R6/1/Neil1−/− parents, the repeat tract is more stable, with a tendency towards contraction when transferred to offspring (Fig. 1B).
The stimulation parameters and the two-channel stimulation method were chosen in order to increase the amount of stimulated muscle mass and to reduce risk of excessive muscle damage and recruitment of sensory fibers (minimizing discomfort), thus ensuring a safe, tetanic contraction when applied to subjects, who are unable to communicate.
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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