Preliminary knowledge

Vor-kammer,/. antechamber (Anat.) auricle, -kehr, -kehrung, /. precaution, provision, -keontnis, n. preliminary knowledge (pi.) rudiments, elements, -klkrbecken, n. pre liminary sedimentation tank, -klotzung, /. (Calico) pad ground. 

Poincar6-Bendixson (P.B.) Theorem.—This theorem gives the necessary and sufficient conditions for the existence of a cycle. Unfortunately, it requires a preliminary knowledge of the character of integral curves, which often makes its application difficult. The theorem states ... 

Present account provides a preliminary knowledge of the processes leading to mineral formation. The coverage is amply illustrated. The account has also made references to re-... 

Our approach to the dynamics of complex electronic rearrangements, has been based on an eikonal representation of the molecular wavefunction. [40, 41, 42] In this representation, wavefunctions are written in the form x(q. Q, t)exp[iS(Q, t)/h], with a factorized exponential function of classical-like variables Q, where S is a classical-like mechanical action. It can be applied without detailed preliminary knowledge of electronic rearrangements,... 

Unlike, e.g. in pharmaceutical metabolism studies, where the parent compound is known and thus some preliminary knowledge of the expected structures is available, the composition of a natural products extract is often completely unknown beforehand ( non-target analysis ). In such cases, NMR spectroscopy is especially well suited as a detection system since it does not discriminate any classes of compounds. (Sufficient relaxation delays provided, the NMR signal depends only on the number of nuclei in the active probe volume.)... 

Every chapter has been prepared in a self-consistent form and includes a particular notation that is given at its end (although the most frequently occurring variables and parameters have the same notation throughout the book). Thus, a reader with a preliminary knowledge of the subject can go directly to any of the chapters. However, for a reader approaching the subject for the first time, it will be much more convenient to follow the order in which the book is organized. 

Possible irritative effects of the substance on the skin must be assessed. Preliminary knowledge can in this case be derived from experiences of other substances with similar structure. If any hesitation exists, studies must be performed. 

Arriving subsequently at rigorous quantum mechanical descriptions, we have assumed that the reader has some preliminary knowledge of basic quantum mechanical formalism. We consider it methodologically important to illustrate the correspondence principle between quantum and classical concepts, in particular between the concept of coherence of the wave functions of magnetic sublevels, and the symmetry properties of spatial angular momenta distribution. 

Quantitative estimates of errors in the determined numerical values of substance concentrations at points xeq and xext as a function of the structure and dimension of x and y are obtained with great difficulty. It is only clear that when we are interested in the detailed composition of products, it is desirable to increase this dimension with thorough choice of the set of components x, and y, based on the whole preliminary knowledge about specific features of the studied process. Such an increase will be limited by the possibility to analyze numerous results. However, despite the great sophistication of the problem of specifying a list of substances, it is solved much easier than the problem of specifying a process mechanism. Both the list of elementary reactions (that can include many hundreds and even thousands of elements) and the constants of their rates are hard by far to determine than the list and thermophysical properties of reactants of the studied system. 

A preliminary knowledge of the crystal structure is important prior to a detailed charge density analysis. Direct methods are commonly used to solve structures in the spherical atom approximation. The most popular code is the Shelx from Sheldrick [26] which provides excellent graphical tools for visualization. The refinement of the atom positional parameters and anisotropic temperature factors are carried out by applying the full-matrix least-squares method on a data corrected if found necessary, for absorption and diffuse scattering. Hydrogen atoms are either fixed at idealized positions or located using the difference Fourier technique. 

A preliminary knowledge of which reaction steps could be key in determining the overall corrosion rate can be assessed by measurements of Corr as a function of important system parameters, e.g., oxidant concentration, solution composition, temperature. The proximity of ACOrr to either eM/Mn+ or /Red can indicate which of the two half-reactions may be rate determining. This is illustrated in Fig. 3A, which shows an Evans diagram for the combination of a fast anodic reaction coupled to a slow cathodic one. The corrosion of iron or carbon steel in aerated neutral solution would be an example of such a combination. The anodic reaction requires only a small overpotential (1) = /Mn+ - Ecorr) to sustain the corrosion current, /COrr, compared to the much larger overpotential required to sustain the cathodic reaction at this current. The anodic reaction would... 

For many corroding systems, such a distinct separation in kinetics is not so readily obvious, but for those for which such a condition prevails, preliminary knowledge of this kind may greatly simplify the form of any predictive model... 

Preliminary knowledge is necessary before application for PI course and design project. The following courses could be considered as compulsory ... 

To understand the role of clays in nature and their beneficial effects, it is important to have the preliminary knowledge about origin of clays and their transformation in nature. 

Unfortunately, any fiexoelectric technique for the determination of the anchoring energy requires preliminary knowledge of the fiexoelectric coefficient which is known only for a few substances. The other disadvantage is... 

It is a variational method based on the first-principles approach, t.e. without preliminary knowledge of Bloch-type delocalized functions. The localized functions with the symmetry of Wannier functions and depending on some number of parameters are used. 

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