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These together lead to a uniquely defined, continuously differentiable interpolating function.
The patient will have to accept it or reject it The decision is determined and defined continuously throughout the time span of the diagnostic process and therefore of the doctor-patient relationship.
Since (boldsymbol {Gamma }_{n}) is defined continuously over (mathfrak {C}_{n}) for a given n, we may in principle construct a variational procedure over this control space to derive minimizing 'values' of (boldsymbol {Gamma }_{n}) satisfying a given cost function.
On the other hand, the fact that X is compactly embedded into (C^{0}([a,b])) implies that the functional Ψ is well defined, continuously Gâteaux differentiable and with compact derivative, whose Gâteaux derivative is given by Psi' u) (v =int_{a}^{b} f bigl x,u(x) bigr)v(x),dx for every (vin X).
Regression analyses examined visual acuity change defined continuously.
Change in visual acuity defined continuously was significantly associated with change in all VFQ-25 scales except ocular pain (p < 0.0001).
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ELSA research needs to be discussed and re-defined continuously and in particular vis-à-vis the notion of RRI, which now reconfigures the whole working space of European ELSA researchers.
The droplets were closely packed in a two-layer polydimethylsiloxane (PDMS) platform and were flowed through a narrow straight channel, in which a region of interest (ROI) was defined and continuously recorded by a frame acquisition device.
From a college founded to teach its classes unapologetically in the mother tongue, to a medical curriculum that pioneered the use of labs in clinical teaching buildings, to the first school established specifically to promote the study of business education, the Penn experience has been defined by continuously advancing not only what we know and what we teach, but also how our students learn.
It is well known that under assumption (H) the energy functional is well defined and continuously differentiable on, and for all we have.
In [9] it is shown that if F is defined and continuously Fréchet differentiable on a convex open set containing K, then F is a pointwise contraction on K if and only if (|F_{x}'| < 1), for each (x in K), where (F_{x}') denotes the Fréchet derivative of F at x. Next consider the metric space M = {0,1}times K = bigl{ (0,x); x in Kbigr} cupbigl{ (1,x); x in K bigr}.
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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