Fundamental facts

The concept of microemulsions now holds a central role within the field of surfactant technology. Perhaps the most fundamental fact captured by the term is that, contrary to a popular saying, oil and water can mix. 

The most stable state of the atom would be expected to be the one in which the atom has the lowest energy. Bohr reasoned that since we observe that the nuclear atom does exist then it must be a fundamental fact of nature that an atom can exist in its most stable state indefinitely. Even though this fact could not be rationalized (remember, the earlier laws of physics predicted the atom should collapse) it had to be accepted because it was a result of experiments. 

Since non-Newtonian flow is typical for polymer melts, the discussion of a filler s role must explicitly take into account this fundamental fact. Here, spoken above, the total flow curve includes the field of yield stress (the field of creeping flow at x < Y may not be taken into account in the majority of applications). Therefore the total equation for the dependence of efficient viscosity on concentration must take into account the indicated effects. 

It would probably be possible to line up some support for each of these views, but this would risk diverting attention from the fundamental fact that scarcity will always be with us that the needs and demands for... 

We will narrow our task and attempt to ehoose a funetion S sueh that its partial derivatives obey Equation (2.338). Of eourse, this does not allow us to find all possible figures of equilibrium, but for our purposes it is not important, because we are only interested to show that a rotating homogeneous spheroid, describing Earth, can be under certain conditions a figure of equilibrium. This fundamental fact was established by MacLauren in the 18th century. In this case we have... 

The fundamental fact on which the analysis of heterogeneous reactions is based is that when a component is present as a pure liquid or as a pure solid, its activity may be taken as unity, provided the pressure on the system does not differ very much from the chosen standard state pressure. At very high pressures, the effect of pressure on solid or liquid activity may be determined using the Poynting correction factor. 

Fundamental Facts about U.S. Money. Federal Reserve Bank of Atlanta,... 

In chapter 1 we recall some fundamental facts, that will be used in the rest of the book. First in section 1.1, we give the definition and the most important properties of Xfnl then in section 1.2 we explain the Weil conjectures in the form in which we are later going to use them in order to compute Betti numbers of Hilbert schemes, and finally in section 1.3 we introduce the punctual Hilbert scheme, which parametrizes subschemes concentrated in a point of a smooth variety. We hope that the non-expert reader will find in particular sections 1.1 and 1.2 useful as a quick reference. 

The primitive types that we use in every model and design—Boolean, arithmetic, sets, lists, and dictionaries—can be defined in basic packages that are imported by all others. These types are most easily defined in an axiomatic style—that is, by simply stating a number of fundamental facts (axioms, mathematicians call them) that are true about the types, from which other facts follow. For example, the package defining Boolean operators contains the propositions shown in Figure 9.46. 

Emission spectroscopy is exclusively related to atoms whereas a number of other spectroscopic techniques deal with molecules. The fundamental fact of emission spectroscopy is very simple, wherein the atoms present in a sample undergo excitation due to the absorption of either electrical or thermal energy. Subsequently, the radiation emitted by atoms in an excited sample is studied in an elaborated manner both qualitatively and quantitatively. Therefore, emission spectroscopy is considered to be an useful analytical tool for the analysis of ... 

One of the great unifying features of life is the similarity in metabolic patterns. As diverse as life forms are, their patterns of metabolic activity— how molecules are formed and degraded—are remarkably closely related. That is not to say that they are identical. They are not. Indeed, identity in metabolic pattern would imply identity in structure and physiology, which is certainly not the case. Nonetheless, the similarities are striking. Variations on a unified central metabolic theme give rise to the diversity of life forms. Nowhere is this fundamental fact more clearly evident than in the central metabolic pathway known as the citric acid cycle. 

It is a fundamental fact that in steady state nothing is accumulating acywhere around the catalyst and therefore these rates must be exactly equal. 

In the case of coneentrated solutions of defects, i.e. large departures from stoichiometry, a fundamental fact in encountered AHimer and ASconf are strongly correlated, i.e. 

A comprehensive review on NMR properties of cyclopropanes and cyclopropenes is available". Thus, only some fundamental facts are collected here. 

For the bound electron, calculation of the relativistic corrections should also take into account the contributions due to its spin one half. Account for the spin one half does not change the fundamental fact that all relativistic... 

In order to interpret this recently discovered, but absolutely fundamental fact, we shall consider more carefully the conditions of the gas motion. The flame functions as a piston, and the dependence written above of the gas velocity on the flame velocity, w — (n—l)u, is valid insofar as the combustion products do not cool. Therefore, for detonation to occur the ratio of the drag and heat transfer is of particular importance. It is precisely in rough tubes that conditions are most favorable the increased drag accelerates the establishment of the velocity profile, while the heat transfer remains practically unchanged by the introduction of roughness. 

We note in conclusion one fundamental fact Belyaev s original argument consists in comparing the reaction probability and the probability of evaporation of a molecule of the EM located in the liquid. From the fact that the activation heat of the reaction is much larger than the evaporation heat he concludes that the probability of evaporation sharply exceeds the probability of reaction as heat is supplied, consequently, evaporation will... 

Hipparchus traced out this phenomenon, and established it on an impregnable basis, so that all astronomers have ever since recognized the precession of the equinoxes as one of the fundamental facts of astronomy. Not until nearly 2,000 years after Hipparchus had made this splendid discovery was the explanation of its cause given by Newton. 

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