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Note that for δ = 0 and δ = 1 the Eq. (14) reduces to the discrete analogues of X simple defined by Y = ⌈X⌉ and Y = ⌈X⌉ − 1 with respective pmfs Pleft(Y=kright)={F}_X k -{F}_Xleft k-1right kern0.75em mathrm{and}kern0.5em PleF}_X k -{F}_Xleft k-1right kern0.75emX(k).
Bartholdi wrote of his technique: The surfaces should be broad and simple, defined by a bold and clear design, accentuated in the important places.
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The dynamic systems were considered basic and one-dimensional; the impedances were assumed to be uniform over the spatial extents of the dynamic systems and the propagation mode in each dynamic system was assumed to be simple and defined by a single speed.
The sequence of page templates used in the final document is determined by simple rules defined by the author, such as the repetition of a page template in even or odd pages, or only in the first page.
All of the functions we consider are simple and defined by a small number of parameters (between two and five parameters).
About 25% of cells, including undifferentiated cells, showed a simple morphology defined by primary branches and the absence of secondary and tertiary processes.
Although MTX clearance changes over time in patients with renal dysfunction, clearance is approximated with a simple model defined by two different clearance distributions for the two populations.
The network data must follow a simple specification defined by two constraints: a) Each link (edge) must be typed to represent either an interaction, stimulation or inhibition.
In fact, the above theorem and corollary give Theorem 2.1 and Corollary 2.2 of [18], respectively, when we consider the simplest k defined by (k a,b =a-b) and m is a symmetric homogeneous continuous mean.
Simples are defined by their essentials, and to borrow an expression from Gilson, essentials are both "compatible and prime".[71] That is to say, the essential properties that define a given simple substance do not contradict one another, or cancel each other out, and they are (themselves) not determined by any other thing and/or property.
The head and vertical gradient profiles from all three sites display systematic (i.e., simple, geometric) shapes defined by repeatable intervals of no to minimal vertical gradient, indicating relatively high Kv units, bounded by shorter depth intervals with large (up to −50 m/m) vertical gradients, indicating relatively low Kv units.
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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