Sentence examples for denotes the quantity from inspiring English sources

The two different kinds of specific heat are called cP and cV respectively, where the subscript denotes the quantity that is being held constant.

In addition, the greenish blocks include an integer within round brackets, which denotes the quantity of the text units already present in the Lucca 490 manuscript.

Each individual customer i (whether or not a member of the coalition) is assumed to have the quasi-linear utility function ( Uleft( {q_{i} } right) = left( {1 - frac{{q_{i} }}{2}} right)q_{i} + w ), where ( q_{i} ) denotes the quantity consumed of the good, and ( w ) stands for the numeraire.

For any (epsilon>0), (tinmathbb{R}), (O epsilon^{t})) denotes the quantity satisfying (vert O epsilon^{t}) vert /epsilon^{t}leq C), and (O_{1} epsilon^{t})) ((epsilonrightarrowepsilon_{0})) means that there exist constants (C_{1}), (C_{2}>0) such that (C_{1}epsilon^{t}leq O_{1} epsilon^{t})leq C_{2}epsilon^{t}) as (epsilonrightarrowepsilon_{0}).

(157)Taking for instance ε = 1 / 4, reabsorbing terms and yet adding R - α E 0 to both sides of the resulting inequality, we conclude with Open image in new window (158)This last estimate implies the statement of the theorem, that is M α, R # ( D u ) ( x ) ≤ c S, (159 where c ≡ c ( n, p, ν, L, α ~ ) and S in fact denotes the quantity appearing in the right hand side of (158).

To integrate this idea into our model, we assume that there exists an exogenously given positive continuous inverse demand function for the illiquid asset (f:left [0,{sum nolimits }_{iin mathcal {N}} s_{i}right ]rightarrow (0,infty)), such that the price q of one unit of the illiquid asset is given by q=f, where θ denotes the quantity of the illiquid asset that is sold in the market.

The differential quantity dU can always be expanded in terms of its partial derivatives according to           (29) where the subscripts denote the quantity being held constant when calculating derivatives.

Let us denote the quantity μ(Θ t ) as the mutual coherence of the matrix Θ t, which is the maximum absolute inner product of different columns of Θ t [35].

end{aligned} Throughout, we use (R_{alpha,beta}(r,*)) to denote the quantity satisfying R_{alpha,beta}(r,* =Obigl(logbigl rT r,* bigr bigr),quad rnotin E, where E is a set of finite linear measure.

where we use the column vector s i to denote the quantity (mathbf {R}_{u}^{-1}mathbf {H}_{i}^mathbf {v}_{i}) in the third equality, and we use the property of the combination matrix, i.e., (sum _{l=1}^{N}A_{l,k}=1, forall kin {1, 2, cdots, N}), to arrive at the fourth equality.

Two parameters of FLS and THP-1 cells were used: the percentage of positive staining cells, and the mean fluorescence intensity (denoting the quantity of CD147 expression on the surface of each cell).