Multiple partitioning

LI0E68 Lloyd, E. K. Polya s theorem in combinatorial analysis applied to enumerate multiplicative partitions. J. London Math. Soc. 43 (1968) 224-230. 

Liquid-liquid extractions, although valuable in sample preparation procedures, are often time-consuming, laborious, and costly, necessitating multiple partitioning in order to achieve adequate isolation of the analytes. Thus, whenever distribution problems exist or the partition coefficients of the analytes do not favor their... 

FAT32 supports drives of up to 2 terabytes. If you have a disk that is over 2,000GB in size, you will have to create multiple partitions on it. 

Liquid-liquid partition methods referred to in the previous chapter can be extended even to the separation of solutes possessing only small differences in their partition coefficients by a method called counter-current distribution. The technique of counter-current distribution, developed mainly by Craig, is a multiple partition process with a large number of stages, entirely discontinuous and stepwise in nature. 

Dinoflagellates reproduce themselves by simple or multiple partition, and after an intense breeding activity, they encyst and settle for long periods in the bottom of the sea. 

In addition to separation of applications, system design needs to be undertaken carefully to ensure that applications do not interfere or interact with each other through accesses to shared resources (this is known as coupling, and needs to be addressed under DO-178B). In the case of shared devices, this can be mitigated through the implementation of an I/O Partition or a Virtual Device Manager which provide a software abstraction from the physical hardware devices and serialize accesses from multiple partitions. 

Although a detailed discussion of pharmacokinetics is beyond the scope of this text, basic pharmacokinetics is an important part of forensic chemistry. The foundations of pharmacokinetics are familiar chemical principles of kinetics and equilibrium applied to a biological environment. Toxicokinetics involves multiple partitioning steps, solubility considerations, protein-bound complexes, and an enzymatically facilitated metabolism that converts the original drug or toxin into new compounds. 

Signer R, Allemann K, Koehli E, Lehmann W, Mayer H, Ritschard W 1956 A laboratory apparatus for multiple partition of substances between two immiscible fluids. Dechema Monograph 27 32-44... 

The hypervisor is considered to be a software compliant item (see Section 5.4) that guarantees temporal and spatial independence among partitions (IEC-61508-2 Annex F), ensuring interference freeness among safety and non safety partitions, and interference freeness among safety partitions. Partitioning and multicore allocation is used to support a reasonable balance between performance (e.g., supervision functional group is divided in multiple partition(s)) and temporal interference due to shared resources. 

The fifth and final chapter, on Parallel Force Field Evaluation, takes account of the fact that the bulk of CPU time spent in MD simulations is required for evaluation of the force field. In the first paper, BOARD and his coworkers present a comparison of the performance of various parallel implementations of Ewald and multipole summations together with recommendations for their application. The second paper, by Phillips et AL., addresses the special problems associated with the design of parallel MD programs. Conflicting issues that shape the design of such codes are identified and the use of features such as multiple threads and message-driven execution is described. The final paper, by Okunbor Murty, compares three force decomposition techniques (the checkerboard partitioning method. 

Mciny of the theories used in molecular modelling involve multiple integrals. Examples include tire two-electron integrals formd in Hartree-Fock theory, and the integral over the piriitii >ns and momenta used to define the partition function, Q. In fact, most of the multiple integrals that have to be evaluated are double integrals. 

Chemical Separation. A reprocessing facility typically utilizes multiple extraction/reextraction (stripping) cycles for the recovery and purification of uranium and plutonium. For example, a co-decontamination and partitioning cycle is followed by one or more cycles of uranium and plutonium purification. The basic process is illustrated in Figure 3. 

On a chute, higher drag results in lower particle velocity which can be accentuated by stratification on the chute surface because of the sifting mechanism. Concentrations of smaller particles close to the chute surface and larger particles at the top of the bed of material, combined with the typically higher frictional drag of finer particles, often result in a concentration of fine particles close to the end of the chute, and coarse particles farther away. This can be particulady detrimental if portions of the pile go to different processing points, as is often the case with multiple outiet bins or bins with vertical partitions. 

Adsorption and ion exchange share so many common features in regard to apphcation in batch and fixed-bed processes that they can be grouped together as sorption for a unified treatment. These processes involve the transfer and resulting equilibrium distribution of one or more solutes between a fluid phase and particles. The partitioning of a single solute between fluid and sorbed phases or the selectivity of a sorbent towards multiple solutes makes it possible to separate solutes from a bulk fluid phase or from one another. 

Determination of Controlling Rate Factor The most important physical variables determining the controlhng dispersion factor are particle size and structure, flow rate, fluid- and solid-phase diffu-sivities, partition ratio, and fluid viscosity. When multiple resistances and axial dispersion can potentially affect the rate, the spreading of a concentration wave in a fixed bed can be represented approximately... 

As a result, there is a growing trend to off-line clean reverse-pulse filters by using bags with multiple compartments. These sections allow the outlet-gas plenum serving a particular section to be closed off from the clean-gas exhaust, thereby stopping the flow of inlet gas. On the dirty-side of the tube sheet, the isolated section is separated by partitions from the neighboring sections where filtration continues. Sections of the filter are cleaned in rotation as with shaker and reverse-flow filters. 

Statistical weight factors are present in rroi and re eci. The multiplication involving these partition functions still works, since the total statistical weight factor is the product of the statistical weight factors for the individual units. Thus g, =g,.,rans g, g,.Mb g,. elect... 

A distinction can be drawn between multiple paths to the same product(s) and simultaneous reactions that partition to different ones. Examples of both will be given. 

The main peculiarity of solutions of reversed micelles is their ability to solubilize a wide class of ionic, polar, apolar, and amphiphilic substances. This is because in these systems a multiplicity of domains coexist apolar bulk solvent, the oriented alkyl chains of the surfactant, and the hydrophilic head group region of the reversed micelles. Ionic and polar substances are hosted in the micellar core, apolar substances are solubilized in the bulk apolar solvent, whereas amphiphilic substances are partitioned between the bulk apolar solvent and the domain comprising the alkyl chains and the surfactant polar heads, i.e., the so-called palisade layer [24],... 

Stockfisch TP. Partially unified multiple property recursive partitioning (PUMP-RP) a new method for predicting and understanding drug selectivity. J Chem Inf Comput Sci 2003 43 1608-13. 

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