Complete identity

Aero Hydrolysis. A solution of kasugamycin hydrochloride (1.5 grams, 3.46 mmoles) dissolved in 15 ml. of 6N hydrochloric acid was heated at 105°C. for five hours in a sealed tube. The solution was condensed to 5 ml. under a reduced pressure and the addition of 50 ml. of ethyl alcohol afforded a crude solid overnight. It was recrystallized from aqueous ethyl alcohol, showing m.p. 246°-247°C. (dec.). It showed no depression in the mixed-melting point and completely identical infrared spectrum with d-inositol which was supplied by L. Anderson of the University of Wisconsin. The yield was 81% (503 mg., 2.79 mmoles). Anal Calcd. for CgH12Og C, 40.00 H, 6.71 O, 53.29 mol. wt., 180.16. Found C, 40.11 H, 6.67 O, 53.33 mol. wt., 180 (vapor pressure osmometer). 

The volume integral in Eq. (B.2) produces a quadratic term, which is roughly equal to (Vcj)) fy (Pr (d k). We then proceed in a completely identical fashion to our earlier estimate of g. Assuming the diplacements within the droplet are random, one gets for the integral P dik, where the factor of comes... 

The strongest definition of structural similarity is the concept of graph isomorphism which is, of course, tantamount to complete identity. This concept can be defined for subschemes as well as for schemes. 

It should be recalled, at this point, that the value of the time constant is related to the heat capacity of the calorimeter cell and of its contents [Eq. (15)]. For meaningful results, it is therefore essential that the arrangement of the inner cell remain identical for both the Joule heating and the thermal phenomenon under investigation. Strictly speaking, the time constant would be unchanged if it were possible to keep the thermal paths completely identical in both cases. This condition is, of course, very difficult to meet. 

Many attempts have been made to deduce thermodynamics from statistical mechanics, and no one can doubt the intimate relationship or even the complete identity of the two sciences. Nevertheless, it has not hitherto been found possible to proceed by a single path unambiguously from simple statistical assumptions to the laws of thermodynamics. This we hope to have accomplished in this paper and the following. 

TLC and HPTLC can be used for both qualitative and quantitative studies. Five examples where TLC can be utilized qualitatively are discussed in this chapter and include reaction completion, identity testing, Rf determination, overlapping experiments, and TLC/HPLC correlation experimentation. 

The Rh(I)-dimethylfumarate complex undergoes an irreversible (two-electron) oxidation, that generates in the reverse scan a cathodic profile completely identical to that of the Rh(III)-succinyl derivative, Figure 21a. 

The configuration interaction problem decomposes into a 25x25 singlet problem and three completely identical 25x25 triplet problems. In all future calculations it wiU therefore be sufficient to consider separately the singlet problem and a triplet problem that corresponds to a specific value of Ms-... 

An attempt has been made to discuss the position of drug therapy of various types of mental disorders within a wider perspective, and especially to clarify the relationship between drug therapy and non-drug treatments. It was necessary to deal separately with the various classes of psychopharmaceuticals and the disorders treated with them, and for our purposes it was also sensible to refer as far as possible to controlled, i.e. comparative, studies. The drawback of this evidence-based approach is obvious comparative studies of therapeutic procedures almost necessarily favor one of the compared treatments because they can never be carried out with completely identical preconditions for all treatments (Elkin et studies comparing psychotherapy with pharmacotherapy were scrutinized and discovered to include studies that were not entirely blind, random, controlled or of high quality, leading to inaccurate conclusions. Thus, meta-analyses based on flawed studies are clearly inadequate for the establishment of treatment guidelines (Klein, 2000). On the other hand, the value of an admittedly incomplete summary such as presented here is that results obtained in different places by different authors with different preconditions can be critically compared and related one to the other. 

The DNA of father and offspring are related, but not completely identical. Thus, in paternity cases the DNA fingerprinting technique comes very handy, and the identity of the father can be established with a probability of 100000 to 1. 

Reaumur did not well understand the theoiy of the phenomenon of devitrification, and, subsequently, Keib, Pa jot-DES-Ciiarmeb, andsome other observers, in examining and describing the crystallizations which sometimes occur in glass, were not more successful in perceiving the intimate connection between these two classes of facts. The researches of Dartigueb as well as those of FuruRrAu de Bellevue, ultimately placed beyond doubt the complete identity of Uie.se two phenomena,. 

Transient IR spectroscopy in the range of the amide I band is a direct tool to follow the structural dynamics of the peptide moiety. IR difference spectra on the bicyclic molecule bc-AMPB are plotted in Fig. 5. Shortly after excitation the absorption is dominated by a red shift. Such a red shift is expected for a strong vibrational excitation of the molecule. On the time-scale of a few picosecond this red shift decays to a large extent and is replaced by a dispersive feature of opposite sign at tD = 20 ps. At later delay times this feature changes details of its shape, it sharpens up and some substructure appears around 1680 cm 1. After 1.7 ns the shape is similar, but not completely identical to the difference spectrum recorded with stationary FTIR spectroscopy. This time dependence shows that the dominant structural change responsible for the IR difference spectrum occurs on the 20 ps time-scale and that minor structural changes continue until nanoseconds and even later times. 

In that case one vibrational function will be orthogonal to all the others, and transitions can only take place between two electronic states which have the same vibrational state, as shown in Figure 5-3. However, if these parameters are not completely identical, the... 

We shall call the bold line the [/-curve since it shows the dependence of the combustion velocity on the temperature we shall call the fine lines T-lines since formula (5.6) describes the dependence of the temperature on the combustion velocity. In the natural sciences the concepts a depends on 6 and 6 depends on a are not equivalent, whereas in mathematics a = fy(b), b = /2(a) and /3(a, 6) = 0 have completely identical meanings. 

Another communication has presented a comparison of the adsorption properties of the a, /3, and y phases of bismuth molybdate (120). The / phase exhibited two types of adsorption a slow, activated type for butadiene and a fast, weak type for butadiene and butene. The two types of adsorption were similar, but not completely identical, to the A and B sites on the y phase of bismuth molybdate. The slow and strong adsorption on the /3 phase was stronger than on the y phase and the weak adsorptions were single site instead of dual site. 

In Part I, some of the early evidence for the existence of the receptor and for its identity in specificity to the antibody produced by the cell on which it resides was presented (see section, Clonal Selection Prevails). However, it was realized that the C region of the receptor is unlikely to be completely identical to antibody since... 

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