Sentence examples for We denoted that from inspiring English sources

Particularly, we denoted that continuous activity recording showed strong similarities with PVF measurement, being sensitive to functional improvement.

By comparing the incidence of LOH at all four markers in both cirDNA fractions before surgery and after chemotherapy, we denoted that in 25/63 patients (40%), LOH for at least one marker was not detectable anymore after chemotherapy.

We denote that ω = ∇ × u and j = ∇ × b.

We denote that is the Nemytski operator associated to defined by.

We denote that is a collection of all nonempty -closed subsets of, and is a collection of all nonempty -compact subsets of.

We denote that heart age-specific experiments exist also in other organisms like rat model; however, the lack of sufficient biomolecular interactions hampers the comparison among organisms and therefore the rat model was excluded from analysis.

From the continuity of and, with respect to, we denote that is continuous.

In this paper, we denote that is a positive constant and assume that a family of closed linear satisfying.

In this paper, we denote that is a positive constant, and assume that a family of closed linear operators satisfying the following.

Furthermore, let X be a linear space, F : X ⇉ Y (with the '⇉'-notation we denote that F is a set-valued objective function whose function values are sets in Y), and a subset of X.

From now on, we denote that ρ : [ 0, ∞ ) → ( 0, 1 ] is the inverse function of the restriction of − ψ ′ ( t ) in the interval ( 0, 1 ]. Then (21) implies λ min ( v ) = ρ.