Permits generally

It is regrettable that the evidence afforded by reaction kinetics is rarely, if ever, uniquely consistent with a single mechanism or a single explanation. The results for nucleophilic aromatic substitution reactions are no exception. Legitimate questions can be raised with respect to the extent to which observations made on a particular system permit generalization to other systems. Even for the specific systems studied points of detail arise, and choices have to be made where alternatives are possible. Every such choice introduces an element of uncertainty and imposes a limitation on the extent to which the reaction mechanism is, in fact, known. 

Colors permitted generally quantum satis (E 101, E 140, E 160a, E 163) and colors with maximum inclusion levels for particular food categories (e.g., E 160d may not exceed 100 mg/1 in non-alcoholic flavored drinks)... 

Notation to describe general results for possibly complicated molecular components can be tricky. The notation exploited here is satisfactorily detailed, yet not burdensome. Specifically, we strive to cast important results in terms of coordinate-independent averages to permit generality and transparency. 

Once the indigenous community of microorganisms has become acclimated to the degradation of a chemical at an interface and the activity becomes marked, the community may retain its active state for some time. Too little information is presently available to permit generalizations to be made among compounds regarding the duration of the beneficial influence of prior additions of the compound. It is presently not clear why a microbial community which has acclimated to a particular substrate loses that activity. This could be a result of the decline in numbers or biomass of the responsible microorganisms or a loss of the metabolic activity in the absence of the specific compound. 

Low basicity, even in combination with a reasonably stable carbonium ion intermediate, will not permit general acid catalysis if the leaving group is not sufficiently good. Thus, hydrolysis of benzaldehyde methyl S-phenyl thioacetals [67] is not subject to general acid catalysis (Fife and Anderson, 1970) even though... 

Giudici and Bruice (1971) concluded that planarity of an acetal would not by itself permit general acid catalysis by buffer acids since none was observed in the hydrolysis of [71]. Consequently, relief of... 

The values, derived from manufacturers data sheets, are only intended to permit general comparisons to be made capacitor coatings and cases are not allowed for in estimating volumes. 

In summary, the model allows for two types of interactions between the mirror spaces, the weak kinematical perturbation and the adiabatic and sudden limits equivalent to Eq. (17) or Eqs. (29)-(34). The overwhelming rate of particles over antiparticles in the Universe is inferred in this picture once the particular particle state has been selected. The Minkowski metric of the special theory of relativity is represented here by a non-positive definite metric, Eq. (8), bringing about a quantum model with a complex symmetric ansatz. Although the latter permits general symmetry violations, it is nevertheless surprising that fundamental transformations between complex symmetric representations and canonical forms come out unitary. 

We define the reaction space as the union of all possible discrete variations of the nature of the substrate, of the reagent (s) and of the solvent. For almost any given reaction, the number of such possible combinations will be overwhelmingly large. The problem is therefore to select subsets of representative test systems which ensure a sufficient spread of the critical properties of the system to permit general conclusions to be drawn. 

Quantitative tests. In some situations, actual enumeration of the number of organisms present may be necessary. This is the case, for example, for limitations imposed on a discharge permit. Generally, two methods are used to enumerate conforms the membrane-filter technique and the multiple-tube technique. 

As far as number-theoretic properties are concerned, one could permit generalized Williams integers, similar to generalized Blum integers, of the form p qK However, in a factoring assumption, large exponents s and t would mean small prime factors if n is always of approximately the same length, and numbers with small prime factors are easier to factor. 

Discussion of polymers containing the M—C, M—O and M—O—C moieties within the polymer backbone suffers from poorly, and at times, inaccurately characterized products products with structures that vary according to the specific reaction conditions—a dependency typically not recognized—and whose structures may vary even within a given chain and few definitive or sufficiently broad studies to permit generalizations. 

The aim of the microscopic approach has been to obtain exact theories of Brownian motion from "first principles" which permit generalization to the study of many diverse statistical phenomena. As an example, one can begin the microscopic theory by writing down the classical Hamiltonian H for a system containing Np Brownian particles and (monatomic) gas molecules ... 

Maximmn temperature permitted (generally less than 100° C it can be more if permitted by the vendor). 

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