Transformation of characters

Long before the advent of synthetic mind-altering drugs, Anton Boisen suggested that acute mental illness and sudden transformations of character... 

After I had felt that hours must have gone by and then learned that it was only five minutes after I had seen flowers open and close their petals and held in my hand a peeled grape that became, before my eyes, a tiny brain and after I had closed my eyes and seen one beautiful vision right after another well, then I decided that anything must be possible, including the transformations of character and personality I had heard about, and to some extent believed, but which only now I really felt confident could happen. 

The importance of the characters of the symmetry operations lies in the fact that they do not depend on the specific basis used to form them. That is, they are invariant to a unitary or orthorgonal transformation of the objects used to define the matrices. As a result, they contain information about the symmetry operation itself and about the space spanned by the set of objects. The significance of this observation for our symmetry adaptation process will become clear later. 

Some weak electrophilic reagents, which are usually inert toward azoles, also react with quaternized azoles. Diazonium salts yield phenylhydrazones (Scheme 48) in a reaction analogous to the Japp-Klingemann transformation of /S-keto esters into phenylhydrazones in the dithiolylium series illustrated the product has bicyclic character. Cyanine dye preparations fall under this heading (see also Section 4.02.1.6.5). Monomethine cyanines are formed by reaction with an iodo quaternary salt, e.g. Scheme 49. Tri- and penta-methinecar-bocyanines (384 n = 1 and 2, respectively) are obtained by the reaction of two molecules of a quaternary salt with one molecule of ethyl orthoformate (384 n = 1) or/S-ethoxyacrolein acetal (384 n =2), respectively. 

The use of mixtures of trimethylbromosilane and dimethyl sulfoxide to brominate indoles is more successful than analogous chlorinations since the bromine atom increases the rate of transformation of Me2S+OSiMe3 to Me2S+Br and shows a stronger electrophilic character than the chloro intermediate. Sulfonium products do not form in such reactions [89JCR(S)182],... 

If the second term on the right-hand side of the equation is omitted, the latter is transformed into Eq. (2.76). As the omission is possible only for t < tj, Fourier transformation of the reduced equation holds for co-tj 1 only. Consequently, the equality (2.75) is of asymptotic character, and may not be utilized to find full g(co) or its Fourier-transform Kj(t) at any times. When it was nevertheless used in [117], the rotational correlation function turned out to be alternating in sign. The oscillatory behaviour of Kj(t) occured not only in a compressed gas, but also at normal pressure, when Kj(t) should vanish monotonically, if not exponentially. The origin of these non-physical oscillations is easily... 

Sections 5.6.2 and 5.6.3 dealt with the deposition of metals from complexes these processes follow the simple laws dealt with in Sections 5.2 and 5.3, particularly if they take place at mercury electrodes. The deposition of metals at solid electrodes (electrocrystallization) and their oxidation is connected with the kinetics of transformation of the solid phase, which has a specific character. A total of five different cases can be distinguished in these processes ... 

The very beginning of the first mitotic cell cycle of the mouse embryo seems to be controlled by the mechanisms characteristic for both meiotic and mitotic cell cycles. Active MAP kinase, its substrate p90rsk and the CSF activity itself could influence the cellular processes within the one-cell embryo. Indeed, we have observed that despite the entry into the interphase (as judged by the low activity of MPF) some proteins are actively phosphorylated as during the meiotic M phase (e.g. 35 kDa complex Howlett et al 1986, Szollosi et al 1993), the nuclei and the microtubule interphase network start to form only 1.5 hours after activation (Szollosi et al 1993). This delay in the phenomena characteristic for the interphase could be linked to the mixed meiotic/mitotic character of this early period. This delay probably allows the correct transformation of the sperm nucleus into the male pronucleus. In species like Xenopus or Drosophila the transitional period between the meiotic and the mitotic cell cycle control is probably much shorter since it is proportional to duration of the short first cell cycle of these rapidly cleaving embryos. Mammalian embryos are perhaps the most suitable to study this transition because of the exceptionally long first embryonic cell cycle. 

Sometimes the FID doesn t behave as we would like. If we have a truncated FID, Fourier transformation (see Section 4.4) will give rise to some artefacts in the spectrum. This is because the truncation will appear to have some square wave character to it and the Fourier transform of this gives rise to a Sine function (as described previously). This exhibits itself as nasty oscillations around the peaks. We can tweak the data to make these go away by multiplying the FID with an exponential function (Figure 4.1). 

The character of carbonaceous material s influence on performance of asymmetric EC systems (carbon - NiOx) is more complicated than that of carbon-carbon system. It is determined by the higher operating potential of NiOx electrode, due to which oxidation and volume changes in electrode active mass upon charge-discharge processes are taking place as the reaction of transformation of Ni(OH)2 into NiOOH is occurring. 

Figure 2. Transformation of cyclopentanol-cyclohexanone mixture at 250°C. Initial activity in mmol.h. m 2. (a) basic character and (b) acid character.

Alumina is an amphoteric catalyst, which can difficult to characterize via chemical and physic methods. The transformation of cyclopentanol/cyclohexanone mixture allows us to estimate at the same time the acid-base properties of aluminas. From this transformation, it was shown that aluminas can be classified into two families only basic aluminas, such as theta, which were more basic than MgO, and acido-basic aluminas, eta, gamma and delta, which possess an acidic character less pronounced than dealuminated HMOR zeolite... 

Thus the sum of the diagonal elements, or trace, of a matrix D(R) is invariant under a transformation of the coordinate axes. When dealing with group representations the trace Dtl(R) is called the character of R in the... 

It is obvious that the character is the same for all elements in a class, and that it is invariant under similarity transformations of the representation. For the characters, the orthogonality relations (1) and (2) take the form... 

While many observations are well understood, e.g. those dealing with the reaction rate or with the selectivity, there are some factors which cannot be generalized. Many transformations of particular reactants or under unusual reaction conditions led to unexpected results. There are often singular explanations for such reactions but no overall concept. For instance, computations on Diels-Alder transition structures and thermodynamics of retro-Diels-Alder reactions confirmed that the activation volume of these [4 + 2]-cycloadditions is negative80. This result, pointing to the compact character of the transition structure, is used to explain the dependence of reactivity and selectivity on internal as well as external pressure81-83. These effects are only observed at relatively high external pressures (Table 5). 

An important conclusion envisaged from the previous paragraph is that all of the information needed for a symmetry operation is contained in the character of the matrix associated with this operation. This leads to the first great simplification we do not need to write the full matrix associated with any transformation - its character is sufficient. 

The important result of the studies on nitromethane at high pressure is the bimolecular character of the reaction and the relevance of intermolecular interactions. The importance of the anisotropy and strains in the sample has been stressed in recent electronic stmcture calculations in the solid [481]. The leading role of intermolecular interactions has been most clearly demonstrated in studies of the chemical transformations of nitramines [475, 482, 483]. 

SECS uses the goal list to select transforms that appear to have the potential for satisfying the goals, based on the character of the transform. The character of a transform specifies the types of architectural changes the transform may effect. The goals specify desired architectural changes in the molecule. It is the... 

Moreover, alcohol functionalities have been introduced into the polynor-bornene (PNB) backbone by copolymerization of norbornene with a few percent of 5-acetate norbornene and subsequent acetate reduction. After transformation of the pendant hydroxyl functions into diethyl aluminum alkoxides, sCL has been ring opening polymerized (Scheme 31). Owing to the controlled/ liv-ing character of both polymerization processes the isolated poly(NB- -CL) graft copolymers were characterized by well-defined composition, controlled molecular weight and branching density, and narrow MWD (PDI=1.2-1.4) [92]. 

The ion-radical mechanism is characteristic in cases of substrates, which are ready for one-electron oxidation and capable to give stable cation-radicals in appropriate solvents. As the cited examples show, such a mechanism can really be revealed. However, very rapid transformations of aromatic cation-radicals can mask the ion-radical nature of many other reactions and create an illusion of their nonradical character. At the same time, the ion-radical mechanism demands its own approaches for farther optimization of commercially important cases of nitration. This mechanism deserves onr continned attention. 

Consider an ion with one 3d electron situated in a cubic environment such as a Mg++ site in MgO. The symmetry transformations of this environment constitute the point group Oh, the character table of which is given in Table I. 0 contains the following classes of elements ... 

The basic concept is the intuition that, whether homogeneous or heterogeneous, catalysis is primarily a process controlled by a molecular phenomenon since it implies the catalyzed transformation of molecules into other molecules. It follows that on the surface of metals or metal oxides, sulfides, carbides, nitrides usually involved as heterogeneous catalysts, the relevant surface species and the mechanism of their mutual reactions must be of molecular character, as occurs in homogeneous or enzymatic catalysis. 

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