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Assuming that the state of the system remains close to the Mott insulator state with, then with conservation of total particle number, the lowest-order excitations will be given by combinations of doubly occupied sites (sometimes referred to as population of particles in a second Mott Band), and holes (in the lowest Mott Band).
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Different degrees of mode mixity are given by combinations of the far-field stress level, biaxial stress ratio and inclined crack angle.
These are given by combinations of certain TF concentrations, resulting from the dynamics of the interaction network, which contains several positive and negative feedback loops.
The general equation for the classic isobologram is given by: combination index CI = (D 1/(Dx)1 + (D 2/(Dx)2 where (Dx 1 and (Dx 2 in the denominators are the concentrations for D1 (gemcitabine) and D2 (targeted drug) alone that give x% inhibition, whereas (D 1 and (D 2 in the nominators are the doses of gemcitabine and targeted drug in combination that also induce the same effect (inhibit x%).
The solution for the equations is shown to be given by a combination of analytical expressions and numerical approximation.
These filters are given by a combination of several training templates chosen by a designer in an ad hoc manner.
The correspondence between public and proprietary schemas is given by a combination of Local-As-View (LAV) and Global-As-View (GAV -style views expressed in XQuery.
Doses given in previous studies were expressed as tissue culture infectious dose 50%TCID50D50) and was given by a combination of intratracheal, ocular, oral, and intranasal routes [2, 3] or by intratracheal route only [4].
Another example is given by the combination of the following tokens ":–)" or by a circle with three points and a round line — they make a face picture, a smiley.
For sources with proportional spectra, all observations at the employed frequencies are combined to form a received signal vector at a larger virtual array, whose elements are given by the combination of the difference co-arrays at the individual frequencies, thereby increasing the number of resolvable sources.
The Moscow première was given by a combination of the Bolshoi and the All-Union Radio orchestras on 29 March in the Columned Hall of the House of Unions.
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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