Sentence examples for denotes the range from inspiring English sources

a linear combination with positive coefficients) of projections if and only if ¯τ(Ra)<∞ for every τ∈T(A), where ¯τ denotes the extension of τ to a tracial weight on A⁎⁎ and Ra∈A⁎⁎ denotes the range projection of a. Assume that A is unital and as above but T(A) has infinitely many extremal points.

where R l denotes the range of luminance intensity.

pThe interval [ 0, α n max ] denotes the range of feasible α n for problem (46).

where K R denotes the range wavenumber, and K X denotes the azimuth wavenumber.

The shaded area denotes the range between the mean plus two standard deviations and the mean minus two standard deviations.

Throughout, for any linear operator S in X, (mathcal{R}(S)) denotes the range of S and (mathcal{K}(S)) is the null space of S.

In a more local sense, the term denotes the ranges on the states' border forming the divide between the watersheds of the Murray River system, flowing west, and the Snowy and other streams flowing southeastward directly to the Pacific.

(a) Interface energies calculated with MD (circles and triangles) and fitted with analytical expression (solid line) for two CNT sets (inset; dashed arcs denote the range of diameter variation in each set).

Also denoted the range of by.

The gray lines denote the range of one standard deviation.

We denote the range of d by d min≤d≤d max.