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We recall some notions and fix notation as follows.
To fix notation, we consider in the sequel that we observe n i.i.d.i.d
In this section, we fix notation and we give some definitions that will be needed to prove our results.
and the paper is organized as follows: in Section 2, a brief review of the theory of fractional calculus will be given to fix notation and provide a convenient reference.
To fix notation, let M be the number of active wells in the region and let the vector (mathbf Q) be defined by begin{aligned} mathbf Q =(Q_1,ldots,Q_M) end{aligned} (3)where (Q_i), denotes the pumping rate of the (i{mathrm{th}}) active well with coordinates ((x_i,y_i)), for (i=1,ldots,M).
First we fix notation and, in a triangulated category T, write Hom T ∗ (M, N ) for the algebra ⊕ n ∈ Z Hom T (M, N [ n ] ).
Similar(53)
To fix notations, suppose interest lies in making inference about a ratio parameter.
(Similarly, while we are fixing notation, if we had written "∨", "↔", or "⊤", we would be arousing expectations of disjunction, equivalence or biconditionality and a truth constant, respectively).
Since the theory of fuzzy numbers has been widely studied, it is impossible to find either a commonly accepted definition or a fixed notation.
Section 1 fixes notation and gives the background on Gelfand Shilov function and distribution spaces, pseudodifferential calculi, modulation spaces, Gabor frames, and symbol product results for Banach modulation spaces.
We fix the notation.
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