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The model is specified by supplying the superpotential, gauge structure and particle content in a SARAH model file; specific boundary conditions e.g. at the GUT, weak or intermediate scales are defined in a separate FlexibleSUSY model file.
The measurement sensitivity is determined by several factors, including the gas species, the gauge structure, and the electrode potentials.
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First, we state the extension of Theorems 3.3 and 3.5 for a cyclic mapping and a complete gauge structure.
Let X be a complete gauge structure ({d_{n}mid n inmathbb{N} }) satisfying condition (1).
Let X be endowed with a complete gauge structure ({d_{n}mid n in mathbb{N} }) satisfying condition (1).
end{cases} Clearly, ({d_{n}mid n inmathbb{N} }) is a complete gauge structure satisfying condition (1).
Let X be endowed with a complete gauge structure ({d_{n}mid n inmathbb{N} }) satisfying condition (1).
Let ((X, preceq)) be a partially ordered set endowed with a complete gauge structure ({d_{n}mid n inmathbb{N} }) satisfying condition (1).
Throughout this paper will denote a nonempty set endowed with a separating gauge structure, where is a directed set (see [1] for definitions).
However, in establishing her results, she does not require that the family (mathcal{F}) is separating, but she uses a gauge structure ({d_{n}mid n inmathbb{N} }) satisfying the following condition: d_{1} x,y) leq d_{2} x,y) leqcdots quadmbox{for all } x,y in X. (1).
In preparation for conversion to standard gauge, the CL&N relaid rail and replaced bridges, including a straight trestle in the Deer Creek Valley, completed in January 1889, in place of a curving old narrow gauge structure.
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