Sentence examples for hence absolutely from inspiring English sources

In particular, for the lowest 100 m on land, the lapse rate is large in the daytime (below 40 m, each temperature profile is often partly super-adiabatic, hence absolutely unstable around 06 UT = 13 LT), whereas it is negative (that is an inversion, i.e., strongly stable) in the nighttime 15−24 UT (22−07 LT).

Access to timely and accurate life-saving information is hence absolutely crucial.

Hence, is absolutely integrable on.

Relative perfection in God, as opposed to absolute perfection, has a point only for a temporal being; hence God is absolutely perfect, according to Alston.

Therefore, by Theorem 2.4, the function bigl phi_{2}(hat{v})_{i}bigr)^{-1} is absolutely continuous, hence by Theorem 2.5 it maps null-measure sets into null-measure sets.

Hence, if (3) is absolutely necessary, it would be logically impossible for God to choose to create any world other than the best.

Using some basic properties of the functional, we have for all, Since the sequence is bounded for each and, hence the series converges (absolutely).

It is well known that the (generalized) Dirichlet and Neumann boundary conditions are absolutely elliptic, hence the Shapiro-Lopatinskii condition holds for both subproblems.

As the power series converges uniformly, the integral of (D_{z}^{mu,omega}{f z)}) converges absolutely, and hence the desired result follows by a straightforward calculation.

For the next theorem and throughout the rest of the section, we will assume that every distribution function F that generates a Lebesque-Stieltjes measure is absolutely continuous, hence it has a density that is the a.e.

Let (G_1) and (G_2) be absolutely simple (hence adjoint) algebraic groups over a field (F) of characteristic zero, let (Gamma _1 subset G_1(F)) be a finitely generated Zariski-dense subgroup, and let (K = K_{Gamma _1}) be the trace field 3 of ({Gamma }_1).