We have used first principles methods to calculate the partitioning of water between perovskite and ringwoodite under lower mantle and Fe-free conditions. We find that incorporation of water into ringwoodite is more favourable than into perovskite by about 0.25 eV per formula unit, or about 24 kJ/mol. This translates to a ringwoodite to perovskite partition coefficient of between 10 and 13, dep...

We show that the poset of non-trivial partitions of {1, 2, . . . , n} has a fundamental homology class with coefficients in a Lie superalgebra. Homological duality then rapidly yields a range of known results concerning the integral representations of the symmetric groups Σn and Σn+1 on the homology and cohomology of this partially-ordered set. AMS Classification 05E25; 17B60, 55P91

Suppose we flow through an adsorption or chromatograph column so fast that the adsorption is not at equilibrium at a given point in the column. This departure from equilibrium could be either due to diffusion resistance within the porous particles of the column or due to kinetic limitation of the adsorption process. Alternatively, you may wish to separate different size macromolecules by the di...

We calculate partition coefficients of various chain anchors in liquid-ordered and liquid-disordered phases utilizing a theoretical model of a bilayer membrane containing cholesterol, dipalmitoyl phosphatidylcholine, and dioleoylphosphatidylcholine. The partition coefficients are calculated as a function of chain length, degree of saturation, and temperature. Partitioning depends on the differe...

We show that the poset of non-trivial partitions of {1, 2, . . . , n} has a fundamental homology class with coefficients in a Lie superalgebra. Homological duality then rapidly yields a range of known results concerning the integral representations of the symmetric groups Σn and Σn+1 on the homology and cohomology of this partially-ordered set. AMS Classification 05E25; 17B60, 55P91

It is well known that the coefficients in Faà di Bruno’s chain rule for n-th derivatives of functions of one variable can be expressed via counting of partitions. It turns out that this has a natural form as a formula for the vector case. Viewed as a purely algebraic fact, it is briefly “explained” in the first part of this note why a proof for this formula leads to partitions. In the rest of t...

We used a Hierarchical Neuro-Fuzzy Class Method based on binary space partitioning NFHBClass Method for macroscopic rock texture classification. The relevance of this study is in helping Geologists in the diagnosis and planning of oil reservoir exploration. The proposed method is capable of generating its own decision structure, with automatic extraction of fuzzy rules. These rules are linguist...

It was found previously that the sieving coefficients of Ficoll and Ficoll sulfate across isolated glomerular basement membrane (GBM) were greatly elevated when BSA was present at physiological levels, and it was suggested that most of this increase might have been the result of steric interactions between BSA and the tracers (5). To test this hypothesis, we extended the theory for the sieving ...

Cephalexin is an important antibiotic. It is very significant to determine an appropriate method for the extraction of this valuable antibiotic for industrial applications. Aiming at developing an efficient method for the extraction of cephalexin, the partitioning of cephalexin has been evaluated in aqueous two-phase system, including cholinium chloride and potassium phosphate. The effect of th...

We describe a method, called affinity partitioning, for the purification of proteins containing specific ligand binding receptor sites. This method adds specificity to the procedures for protein purification with aqueous polymer two-phase systems by introduction of a polymer derivative, coupled to an appropriate ligand. The addition of a polymer-ligand that partitions predominantly into one pha...