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A large group, the sterols, is composed of the common 3-monohydroxy steroids of the cholestane, ergostane, and stigmastane series and their methyl sterol biogenetic precursors: lanosterol, cycloartenol, and certain derivatives of these sterols, such as lophenol.
We obtain Lp regularity for certain derivatives of the relative fundamental solution of □b and for the corresponding Szegö projections onto the null space of □b by showing that the distribution kernels of these operators are finite sums of flag kernels.
In substituting Equation (4) into invariance condition in Equation (6), we are left with a polynomial equation involving the various derivatives of H x, z, and t) whose coefficients are certain derivatives of ξ 1 Open image in new window, ξ 2 Open image in new window, ξ 3 Open image in new window, and η Open image in new window.
In fact our assumption, which we will state in this section, will turn out to be slightly more complicated due to the fact that we have to bound certain derivatives of b as well.
It was in the 1950s that certain derivatives of iodinated benzoic acid were suggested as possible safe contrast media [ 5], and since then, all modern iodinated contrast media are based on the triiodinated benzene ring.
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The SEM analysis indicated that most of the polyamides were organized as well defined nano sized spheres, but in certain derivatives small amount of aggregated nanospheres were also observed.
"I think a number of us had really pulled for" bipartisan consensus, said Born, a Democratic commissioner who famously tried to regulate certain derivatives as head of the Commodity Futures Trading Commission.
As energy functionals we study familiar functionals from spline theory, which are linear combinations of L2 norms of certain derivatives.
Although there are no photochemical reasons preventing the use of a whole array of leaving groups, the sometimes delicate preparation of certain derivatives has to be considered.
These products were at the heart of the 2008 global crisis when a collapse in US property prices hit valuations of certain derivatives.
We show that a functionFonΔ K, Hn) belongs to SK(Hn)∧if and only if the functions obtained fromFvia application of certain derivatives and difference operators satisfy decay conditions.
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