Asserted identities

Finally, why focus on names It seems to me that names bear additional significance compared to other words. The name is a repository of accumulated meanings, practices and beliefs, a powerful linguistic means of asserting identity... and inhabiting a social world (Rymes, 2001 160). We can assume that names are generally not frivolously conferred and the choices made must be deemed to be significant. 

Equation (3-325), along with the fact that Y(t) has zero mean and is gaussian, completely specifies Y(t) as a random process. Detailed expressions for the characteristic function of the finite order distributions of Y(t) can be calculated by means of Eq. (3-271). A straightforward, although somewhat tedious, calculation of the characteristic function of the finite-order distributions of the gaussian Markov process defined by Eq. (3-218) now shows that these two processes are in fact identical, thus proving our assertion. 

The proof of the first assertion involves taking the determinant of Eq. (9-246). Since the determinant of any of these four matrices cannot vanish (since by virtue pf Eq. (9-247) det a 6 = det /3 = 1), the identity... 

Equation (11-165), which is the statement that the transition probabilities for bodily identical pairs of states be the same for all observers, is trivially satisfied for the Heisenberg-type description. On the other hand, for the Sehr6dinger-type description, Eq. (11-156) asserts that the one-to-one correspondence between the vectors Y> and T > is, in fact, either a unitary or anti-unitary 4 (norm preserving) one... 

It is frequently asserted that two weaknesses of STM are first that all atomic asperities in images need not necessarily correspond to atom surface positions and second that it is inherently difficult to establish the identity of imaged atoms when two or more surface species are involved. The latter need not, however, be a problem. In a study (for example) of the oxidation of ammonia at Cu(110) the oxygen and nitrogen adatoms form separate individual structures which run in the < 100 > and < 110 > directions, respectively, whereas under ammonia-rich conditions only imide species are formed, running in the < 110 > direction, with in situ XPS confirming their presence and the absence of surface oxygen (Chapter 5). 

On a related point, there have been other variational principles enunciated as a basis for nonequilibrium thermodynamics. Hashitsume [47], Gyarmati [48, 49], and Bochkov and Kuzovlev [50] all assert that in the steady state the rate of first entropy production is an extremum, and all invoke a function identical to that underlying the Onsager-Machlup functional [32]. As mentioned earlier, Prigogine [11] (and workers in the broader sciences) [13-18] variously asserts that the rate of first entropy production is a maximum or a minimum and invokes the same two functions for the optimum rate of first entropy production that were used by Onsager and Machlup [32] (see Section HE). 

Part of Self-assertion in Nietzsche and self-surrender in Boehme a contrast and an identity by W. A. Ross and G. W. Allen... 

Observe that we have in this procedure worked out some of the steps previously left to the THEOREM PROVER, The previous procedure involves having the progranmer select a set of inductive assertions and critical points, and then feed this into the computer parts a VERIFICATION CONDITION GENERATOR and a THEOREM PROVER. In this alternative construction we still need inductive assertions as the nature of the Rule of Iteration for WHILE statements shows. Now the inductive assertions are fed directly into the THEOREM PROVER which las been augmented by the special axioms and rules D0,D1,D2,D3 and D4 in addition to all of the usual arithmetic axioms, rules of inference, rules for handling identities and special axioms for the primitives in question (such as the factorial axioms in our example). In effect the THEOREM PROVER works backwards from the output condition and the various inductive assertions using DO - D3 to find what amounts to path verification conditions -... 

The thermochemistry of totally cumulated trienes, i.e. species with the C=C=C=C substructure, is very limited. Indeed, the sole examples we know are those reported by Roth, namely (Z)- and ( )-2,3,4-hexatrienes MeCH=C=C=CHMe, species 17 and 18. Their enthalpies of formation are identical to within experimental error, 265 kJ mol-1. This equality is altogether reasonable given the small Me—Me interaction across the 4-carbon, linear, cumulene chain in contradistinction to the 4.3 kJ mol-1 difference that is found for the isomeric (Z)-and (E)-2-butenes with their significantly smaller Me...Me distance. Are cumulated trienes unstable relative to cumulated dienes much as cumulated dienes are unstable relative to simple olefins Briefly regressing to cumulated dienes, this assertion is corroborated by the finding that species 3, i.e. 1,3-dimethylallene, has an enthalpy of decarbonization 18 of 144.5 kJmol-1 (reaction 12)... 

For classes with fewer than four sites, the assertion is trivial. For chiral classes with four or more sites, there is at least one triple of sites which does not lie in a symmetry plane of the skeleton. For, if all sites lie in a common symmetry plane, molecules of the class with the ligands all different would possess planes of symmetry, i.e., the class would not be chiral. On the other hand, suppose that the sites do not lie all in a common mirror plane, but that nevertheless every triple of sites lies in a symmetry plane. It follows that every pair of sites lies on the intersection of two different symmetry planes, therefore on an axis of symmetry of the skeleton. But if more than four sites all lie pairwise on an axis of symmetry of a finite figure, they must all lie on a common axis, and the class is again achiral. For chiral classes, then, there is at least one triple of sites which does not lie on a plane of symmetry of the skeleton. Now consider a molecule in which the sites of this triple are occupied by ligands of three different kinds, the other sites by ligands different from these three, but identical with each other. Such a molecule is chiral, since the only improper operation which leaves the three different ligands invariant is a reflection in the plane of the triple, and this changes the rest of the molecule. The assertion follows immediately. 

Others, as we have seen, strongly contested the blithe assertion that other immigrants to this country lose their race identity, but the Sun was nonetheless expressing a point of impressive consensus on the unassimilability of the Jews. 

To prove our assertion that these three systems are equivalent (from the standpoint of having the same BI), we ignore the factors Q and the factorials, and show the identity of the polynomials in X only. [Physically, this corresponds to a system of localized particles having no internal degrees of freedom, i.e., all Qs are unity, and no factorials in the denominators of expressions (F.9), (F.IO), and (F.l 1).]... 

Lucretius pictured the atoms of things as like the things perceived by the senses he said that atoms of different kinds have different shapes, but the number of shapes is finite, because there is a limit to the number of different things we see, smell, taste, and handle he implies, although I do not think he definitely asserts, that all atoms of one kind are identical in every respect. 

Nevertheless, Burnham did usefully emphasize one significant point about the hermetic endeavor The aim of every skilled hermeticist is not to lie, but to veil his messages in themes so obscure or universal that the possibility of a true identity is never apparent to the public. Put otherwise, for those operating within this historical vocation, mendaciousness was both obligatory and honorable. Although typically Burnham does not cite any historical evidence for his argument about why a would-be Alchemist-Artist never confessed to his real pursuit, abundant documentation attesting to the validity of this assertion does exist and will be cited here. 

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