Three symbolism

Gunter von Kiedrowski (Ruhr-University, Bochum, Germany) used two trideoxynu-cleotide substrates in experiments to study the possibility of a self-replicating, enzyme-free nucleotide system. Chemically speaking, the three symbols A, B and C represent ... 

Fig. 4.22 Arrhenius representation of the relaxation rates obtained from fitting stretched exponentials to the spectra of PB at Q=1.88 A" at different temperatures. The three symbols represent three different sets of experiments carried out in separate experimental runs. The solid line displays the viscosity time scale. The dashed line indicates the Arrhenius behaviour of the low-temperature branch. (Reprinted with permission from [188]. Copyright 1992 The American Physical Society)...

Fig. 4.35 Right-hand side Monomeric friction coefficients derived from the viscosity measurements on PB [205]. The open and solid symbols denote results obtained from different molecular weights. Solid line is the result of a power-law fit. Dashed line is the Vogel-Fulcher parametrization following [205]. Left hand side Temperature dependence of the non-ergodicity parameter. The three symbols display results from three different independent experimental runs. Solid line is the result of a fit with (Eq. 4.37) (Reprinted with permission from [204]. Copyright 1990 The American Physical Society)...

From the particular point of view of Alchemy, the first three symbolic steps or grades of Initiation [and next comes Companion and Master] symbolically represent or parallel the execution of the Alchemical Magnum Opus the labors of the Alchemical Apprentice [I apprenti alchdmique] embody the material aspects of that operation. Coming in a circular fashion [as it were, a la bicyclette] out of the vulgar world, the Apprentice will later return to that place, but now in the condition of Master, that is once he has acquired Initiation into Occult Science. ... 

The three symbols of an atomic position represent (1) the multiplicity of the position (ii) a letter that Identifies the position and (Hi) the site symmetry. (See International Tables for Crystallography, Vol. A, Reidel Publishing Co., 1983). 

In the literature, there are typicalty three symbols used for the quadrupolar interaction, Cq, Cq or xq/ with the latter lUPAC recommendation. ... 

In the presence of reflection symmetry with respect to the diagonal of the potential-energy surface, as in symmetric molecules or in the four-disk scatterer, Burghardt and Gaspard have shown that a further symmetry reduction can be performed in which the symbolic dynamics still contains three symbols A = 0, +, - [10]. The orbit 0 is the symmetric-stretch periodic orbit as before. The orbit + is one of the off-diagonal orbits 1 or 2 while - represents a half-period of the asymmetric-stretch orbit 12. Note that the latter has also been denoted the hyperspherical periodic orbit in the literature. 

Figure 8.4 Typical variation of the standard NMR parameter, %c, as a function of the variable of percolation e the different states of gelation were obtained by quenching the polymer in ice, at different times during the kinetics of synthesis of the network which occurs at 150 °C. The polymer is a slightly modified silicone chain which bears randomly distributed vinyl groups as comonomeric units (the mean number of vinyl groups along one chain is Cvi = 2 x 10"3). Links are created between vinyl and methyl groups the three symbols correspond to different catalyst concentrations (redrawn from [18])...

A useful abbreviation for electronic configurations may be illustrated by the unexcited state of neon (Z = 10). This configuration is abbreviated as Is2 2s2 2p6. Each of the three terms has three symbols. The first number in each of the terms represents the value of n for a number of the electrons. The small letters represent the value for J, and the superscript represents the number of electrons in the atom having the given values of n and Z. Each value of l is represented by a different small letter ... 

The first three symbols tell you the state of matter of the element at room temperature. The fourth symbol identifies elements that are not present in significant amounts on Earth. Useful amounts are made synthetically. 

Fig. Al-5 The reciprocal lattice of a hexagonal crystal which has = 4 A. (Here the three-symbol system of plane indexing is used and 2l is the axis usually designated c.) The axes as and bs are normal to the drawing.

The permutation group on three symbols, P3, has six elements and three classes, namely the unit element /, the three transpositions (12), (23), (31) and the two cycles of order three (123) and (132). Its character table is shown in Table 2. 

Table 2. Character table of the permutation group on three symbols. T is a transposition and C a cycle of order three...

Table 4. Character table of the group of even permutations on three symbols. to = — 2+ —3...

Write a general description of the changes that take place in beta emission. Write the three symbols used for a beta particle. Write the general equation for beta emission, using X for the reactant element symbol, Y for the product element symbol, Z for atomic number, and A for mass number. 

THREE PRINCIPLES Occ. STEINER 1906 gives three symbols by v hich... 

For convenience, the names for amino acids are often abbreviated to either a three symbol or a one symbol short form. For example. Arginine can be referred... 

FIGURE 14.18 Hole fraction versus T for (a) PS and (b) PNC-17. Three symbols for h indicate the hole fraction in the melt, in the glass extrapolated from the melt, and computed for... 

For example, we would like to represent our knowledge about a class of small objects of various shapes. In this case, we could use, for example, only three symbolic attributes and one numerical attribute. Our first symbolic attribute is... 

When we design a roof structure and consider various design concepts, a steel truss may be one of design concepts analyzed. This design concept may be identified by only three symbolic attributes ... 

Figure 2.2 With three symbols in isolation only three meanings are possible. When we combine the symbols in sequences the number of meanings exponentially increases, while the ability to uniquely perceive the symbols is unaffected. ...

Fig. 4. Lactase activity in duodenal contents at various intervals after yogurt ingestion. The three symbols represent three different lactose-intolerant subjects (Kolars et al., 1984. With permission).

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