Tables repeated values

Table 10-7 Repeatability values r [mg/kg] obtained from two laboratories for HMDA and EDA at concentrations close to the SML values.

When a data value is repeated multiple times in a column in a database, it is said to violate third normal form. For example, a table of values for logp might contain a column named ref having literature references. The value Hansch, et. al. (1995) might be repeated many times. It is easy to spot this, and easy to correct it as well. The following SQL can be used to help put a table of logp values and references into third normal form. 

Table III Sound speed measurements for CHiO. Pressure pairs were taken before and after sound speed determinations. Repeated values are blank.

Table 7.2 Matrix epoxy resin systems and iayup repeat value in [0/ 45/90°]x, iayup for Karasek et al. [66] iaminates...

Table 12. The intercepts are listed in the table. The values of nearly all subjects are larger in the left hand. In vlly the non cortical and the non decision periods are prevalent. That means the right hemisphere is handicapped relative to these periods. One subject PI 5 has repeated this tasks, the intercepts were reduced, the difference remains the same...

Repeatability—The difference between successive test results obtained by the same operator with the same apparatus under constant operating conditions on identical test materials would, in the long run, in the normal and correct operation of the test method, exceed the repeatability values shown in Table 3 only in one case in twenty. 

The subscripts e and r refer to the end group and repeat unit, respectively. The effects of the bulk interaction parameter between the two components can be included at the cost of additional complexity. The lattice theory yields a table of values for the composition 0i,i of component 1 in the first lattice layer as a function of Xs, aud chain length. The surface tension can readily be calculated fi-om this table according to the relation... 

Another possibility to improve selectivity is to reduce the concentration of monoethanolamine in the reactor by using more than one reactor with intermediate separation of the monoethanolamine. Considering the boiling points of the components given in Table 2.3, then separation by distillation is apparently possible. Unfortunately, repeated distillation operations are likely to be very expensive. Also, there is a market to sell both di- and triethanolamine, even though their value is lower than that of monoethanolamine. Thus, in this case, repeated reaction and separation are probably not justified, and the choice is a single plug-flow reactor. 

At the two-multiple loading test, the samples were preliminarily exposed to the stretch exertions effect until the level G, which is O.S B (do not influence on the residual resistance) and the AE total calculation (Nl) was registered. After the test, samples were unloaded entirely, then loaded repeatedly until the initial level 6, and the AE total calculation (N2) was registered again. The ratio K=Nl / N2 was taken as a criteria parameter of the carbon plastic resistance (table 1). If the value of K is considerably exceeding 1, then the samples resistance is quite high. If the value of K is close to or less than 1 - it means that the samples have low resistance. 

To examine the accumulation effect activity ( A ZT) in the adhesive joints of the carbon plastic, the artificial defects were made. The samples were loaded up to the stress of 0,6"Zf. The test has showed (table 2) that in the weak samples the acoustic emission, at the repeated loading, will start at the point, which is smaller, than initial loading. While, the weaker sample, the bigger value of the "S. ... 

An analytical procedure is often tested on materials of known composition. These materials may be pure substances, standard samples, or materials analyzed by some other more accurate method. Repeated determinations on a known material furnish data for both an estimate of the precision and a test for the presence of a constant error in the results. The standard deviation is found from Equation 12 (with the known composition replacing /x). A calculated value for t (Eq. 14) in excess of the appropriate value in Table 2.27 is interpreted as evidence of the presence of a constant error at the indicated level of significance. 

Table 4.1 lists values of as well as AH and ASf per mole of repeat units for several polymers. A variety of experiments and methods of analysis have been used to evaluate these data, and because of an assortment of experimental and theoretical approximations, the values should be regarded as approximate. We assume s T . In general, both AH and ASf may be broken into contributions Ho and So which are independent of molecular weight and increments AHf and ASf for each repeat unit in the chain. Therefore AHf = Hq + n AHf j, where n is the degree of polymerization. In the limit of n AHf = n AHf j and ASf = n ASf j, so T = AHf j/ASf j. The values of AHf j and ASf j in Table 4.1 are expressed per mole of repeat units on this basis. Since no simple trends exist within these data, the entries in Table 4.1 appear in numbered sets, and some observations concerning these sets are listed here ... 

Use Eq. (4.14), the results in Fig. 4.5, and the data in Table 4.1 to estimate a value for 7 for polyethylene. Figure 4.10 shows the unit cell of polyethylene Fig. 4.10b shows the equivalent of two chains emerging from an area 0.740 by 0.493 nm. On the basis of the calculated value of 7 and the characteristics of the unit cell, estimate the free energy of the fold surface per mole of repeat units. 

It is apparent from an examination of Table 9.2 that the Mark-Houwink a coefficients fall roughly in the range 0.5-1.0. We conclude this section with some qualitative ideas about the origin of these two limiting values for a. We consider a polymer molecule consisting of n repeat units, and two different representations of its interaction with solvent. 

Because pulp bleaching agents are, for the most part, reactive oxidising agents, appropriate precautions must be taken in their handling and use. For example, it is important to ensure that the threshold limit values (TLV) (20) in Table 2 are not exceeded in the workplace air. These are airborne concentrations in either parts per million by volume under standard ambient conditions or mg per cubic meter of air. They "represent conditions under which it is beUeved that nearly all workers may be repeatedly exposed, day after day, without adverse effect" (20). TWA refers to a time-weighted average for an 8-h workday STEL is a short-term exposure limit or maximum allowable concentration to which workers can be continuously exposed for 15 minutes. 

In reference to the tensile-strength table, consider the summary statistics X and. s by days. For each day, the t statistic could be computed. If this were repeated over an extensive simulation and the resultant t quantities plotted in a frequency distribution, they would match the corresponding distribution oft values summarized in Table 3-5. 

The table of results is laid out in a column, and a second column is constructed in which in the hrst four rows the results would be added sequentially in pahs, e. g. Xi + X2, xj, + X4, x + jcg etc., and the lower four rows are calculated by subuacting the second value from dre preceding value thus, JC2 — JCi, JC4 — JC3 etc., a thh d column is prepared from these results by canying out the same sequence of operations. The process is continued until there are as many columns as the number of variables. Thus in the present tluee-variable, two level-study the process is repeated tluee times (Table 15.1), and in the general -variable, two-level case it is repeated n times. (The general description of uials of this kind where tlrere are n variables and two levels, is 2 factorial uials ). 

Note that in series 3 and 10 the value of n in the table is the total number of methylene groups in the glycol portion of the repeat unit. 

This procedure can now be repeated with a base D that is slightly weaker than C, using C as the reference. In this stepwise manner, a series of p determinations can be made over the acidity range from dilute aqueous solution to highly concentrated mineral acids. Table 8-18 gives pS bh+ values determined in this way for nitroaniline bases in sulfuric and perchloric acid solutions. This technique of determining weak base acidity constants is called the overlap method, and the series of p kBH+ values is said to be anchored to the first member of the series, which means that all of the members of the series possess the same standard state, namely, the hypothetical ideal 1 M solution in water. 

The process is repeated vvitli another random number until tlie desired 15 simulated values of T have been obtained. The results are shown in Table 20.6.1. Tlie average value of the 15 simulated values of T is 1.02 years, a Monte Carlo estimate of the average life of the pmnp. The true average life of the pump is E(t), tlie expected value of T, obtained by application of Eq. (19.9.2) ... 

In the course of pharmacological experiments, a frequent question is Does the experimental system return expected (standard) values for drugs With the obvious caveat that standard values are only a sample of the population that have been repeatedly attained under a variety of circumstances (different systems, different laboratories, different investigators), there is a useful statistical test that can provide a value of probability that a set of values agree or do not agree with an accepted standard value. Assume that four replicate estimates of an antagonist affinity are made (pKb values) to yield a mean value (see Table 11.14). A value of t can be calculated that can give the estimate probability that the mean value differs from a known value with the formula... 

The measurement of filth elements by microanalysis is a valuable adjunct in the enforcement of the Food, Drug, and Cosmetic Act and serves as an efficient means of evaluating conditions of cleanliness, decency, and sanitation in food-producing plants. This, of course, is in addition to the value of microanalytical methods in the determination of the fitness of foods as they reach the consumer. The techniques available, together with proficiency of manipulation, repeated references to authentic materials, and sound judgment in the interpretation of results, provide effective enforcement weapons in the constant war to prevent the production and interstate distribution of products which are unfit for the table of the American consumer. 

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