Sentence examples for held for densities from inspiring English sources

This same "uniformization" process held for densities.

Events held for cohort members.

This property also holds for materials of similar density.

It follows from (3.2) that for all (tgeq0), bigl| U t bigr |^{2}_{mathscr{H}}leqfrac{1}{delta_{0}} bigl(E(0)+C_{1} bigr), which, by density, holds for mild solutions.

Then by Lemma  2 the equality e − i H 1 t ρ e i H 1 t = e − i H 2 t ρ e i H 2 t holds for all even (physical) density operators ρ F with ρ F ′ = 〈 1, P 〉 in the sense that H 1 and H 2 generate the same time-evolution, if and only if H 2 − H 1 = λ 1 + μ P = P + + P − with λ, μ ∈ R.

This holds true both for densities of [H]-thymidine+ neurons per mm and for percentages of [H]-thymidine+ neurons out of the total neuronal populations.

The second result states that the density property also holds for P-almost all continuous functions, where P is the (prior) probability distribution induced by the Gaussian process.

In quantum mechanics it is well known that the Heisenberg-Schrödinger uncertainty relations hold for two non-commutative observables and density operator.

As is to be expected, both, CBP and SBP increase when we increase traffic density and this holds for all of the access network technologies (because of having more IPTV users per cell).

Considering the limitation of probability conservative systems for the GPDEE, a novel concept of probability dissipation is introduced and a completely uncoupled partial differential equation is derived as well with respect to the evolutionary probability density function, which holds for any physical quantity of a probability dissipative system.

The ideal gas equation of state remains valid as the density is decreased, even holding for a free-molecule gas.