Proportional allotment

This time, At, is calculated at 41.2248 min by the proportional allotment. This proportional allotment may be allowable, because an almost constant rate of increase in temperature of 2 cm of TBPB charged in the open-cup cell and subjected to the adiabatic self-heating test has been realized all through this run. A value of Inzl t of 3.71904 is, hence, calculated immediately. 

Whenkp in mixed solvents is calculated from the kp values in both solvents by their proportional allotment, the calculated values are not in accordance with the observed values (Table 18). The agreement in Eq. (6.5) supports our view that the complexes radical is in a dormant state in propagation. Recently, Yamamoto et al.90 reported that the stereoregularity of poly (vinyl acetate) did not vary with these solvents. This result is consistent with the assumption that the complexed radical does not participate in the propagation process, because stereoregularity is considered to be affected by solvent if two kinds of propagating species, the free and complexed one, can add to the monomer. 

Another important consideration in tower design is tray downcomers size. At high ratios of liquid flow to vapor flow a proportionally greater area on the tray must be allotted to the downcomer channel opening. Downcomers are designed from basic hydraulic calculations. If the downcomer is inadequately sized and becomes filled with liquid, liquid level will build on the tray above. This unstable situation will propagate its way up to the tower and result in a flooded tower condition. Excessive entrainment can also lead to this same condition and, in fact, is usually the cause of flooding. 

The foregoing clearly indicates that striation thickness is inversely proportional to total strain. We also note that the initial striation thickness is proportional to the size of the cube and inversely proportional to the volume fraction of the minor component. Hence, for any required final striation thickness, the larger the particles and the smaller the volume fraction of the minor component the more total strain is required. Therefore it is more difficult to mix a small amount of minor components into a major, than to make a 50-50 mixture, and the larger the individual particles of the minor, the more difficult it is to mix. By using Eq. E7.1-22, we can estimate the strain needed to reduce the striation thickness to a level where molecular diffusion or Brownian motion will randomize the mixture for a given strain rate and within the time (residence time) allotted for mixing. 

The plate theory assumes that the solute is in equilibrium with the mobile and stationary phases. Due to the continuous exchange of solute between the two phases as it progresses down the column, equilibrium between the phases can never actually be achieved. To accommodate this nonequilibrium condition, a technique originally introduced in distillation theory is adopted, where the column is considered to be divided into a number of cells or plates. Each cell is allotted a finite length and, thus, the solute spends a finite time in each cell. The size of the cell is such that the solute is considered to have sufficient residence time to achieve equilibrium with the two phases. Thus, the smaller the plate, the more efficient the solute exchange between the two phases and, consequently, the more plates there are in the column. As a result, the number of theoretical plates contained by a column has been termed the column efficiency. The plate theory shows that the peak width (the dispersion or peak spreading) is inversely proportional to the square root of the efficiency and, thus, the higher the efficiency, the narrower the peak. Consider the equilibrium that is assumed to exist in each plate then... 

The total net cost of operating the crane for a period of a year should be the basis of estimating the net operating cost per hour or per ton handled, in order that the burden expense may be equitably apportioned. If this is not done, it is necessary to allot arbitrarily a certain proportion of the yearly burden to the operating expense for the period under consideration. The net cost of operating a standard overhead electric crane, expressed in the cost per ton handled and per hour of operation, follow as Formulas (6a) and (66) ... 

He was one of the earliest supporters of the doctrine of bodies combining in definite proportions, or of what is commonly called the atomic theory. Previous to introducing a paper of his in which this doctrine is happily illustrate by new and curious facts, I shall give a short historical sketch equally candid and perspicuous of the origin of this doctrine, and of its progress, vdiich forms a part of the Discourse he delivered as President of the Royal Society on the awardment of the first Royal medal to Mr. Dalton "for the developement of Ae chemical theory of definite proportions." -He proceeds, - "What Mr Daltons merits are, I shall briefly endeavor to state to you, though it is impossible to do justice to them in the time necessarily allotted to this address.""... 

The quicksilver mines at Almaden in the province of Ciudad Real, Spain, are the richest and most valuable in Europe, normally producing about half the world s supply of the metal. They were worked at the time of the Punic Wars, 600 b.c., and the first actual excavations are believed to have taken place at this time.. They cover an area of some 12 square miles, and as yet but a small proportion has been worked. In 1927 the output was 2,500 tons in 1935 it was 1,227 tons, the output having been restricted in 1930 the present production is not known. Mercury mining is an unhealthy task, and in the early days it was allotted to slaves later it was the duty of convicts, and the Spanish Government at one time granted exemption from military service to men who had been at Almaden for two years. 

Any CaO unused after anorthtte (step 7) is allocated to diopside using an equal amount of FeO + MgO (allotted In proportion to that determined in step 13). 

Split sample is a popular resampling method, also referred to as the learning-test split or holdout method (McLachlan, 1992), which entails a single partition of the observed data into a training set and a test set. The size of the two sets is based on a predetermined proportion p for the test set. For example, if p =, this method allots two-thirds of the observed data to the training set and one-third to the test set. Figure 10.5 illustrates this resampling method. 

Figure 2 An illustration of the roulette wheel used for selecting individuals for mating. The fraction of the circle allotted to an individual is proportional to the individual s fitness.

The Hirshfeld analysis has been discussed previously [1, 2], so we will outline the process as it applies to the current study. Hirshfeld [2] suggested that if one wanted to partition the molecular electron density among the constituent atoms in a molecule, one does so by allotting density to each atom in proportion to the density that atom would have in the promolecule. For PCI, one would define the... 

In January 1945, barrel and muzzle bursts reached epidemic proportions. During theater and OCCWS investigations of the problem, CWS ETO impounded lot after lot of shell until nearly the whole theater supply was impounded. Allotment per weapon sometimes fell from twenty to ten rounds per day. When spring weather came, faulty shell ceased to be a problem. Shell supply improved, but supply never equaled demand during the period of combat. ""... 

This, however, assumes that the whole of the permitted extra column dispersion is allotted to the response time of the detector which, as already discussed, is not possible the major proportion of the allowable extra column dispersion must be available to the sample volume and cell dispersion to provide adequate mass and concentration sensitivity. If only 1/10 of the extra column dispersion is allotted to detector response time, then... 

When it is to be deposited under water, it is still a disputed point whether the concrete, prepared as above, should be used immediately, or be left in heaps to stiffen to such a degree as to require the use of pickaxes to breakdown the heaps but, in works out of water, there can hardly be a case in which it will not be best to place it at once in its allotted space, where it should be compacted by ramming till none of the stone fragments project above the common surface. One or two trials will show how much mortar over and above the strict proportion is necessary in each case. 

By the time Herty arrived, the European parties had already decided to claim and distribute 5,200 tons of the German stocks subject to the 50 percent provision of the peace treaty. Using consumption and production figures from 1913-1914, the Allies divided the allotment proportionally, with the United States and Great Britain receiving rights to the majority of the dyes. Herty s primary task centered on selecting the desired dyes for the U.S. 

---