Naive

As a naive or zero-order approximation, we can simply ignore the V12 term and allow the simplified Hamiltonian to operate on the Is orbital of the H atom. The result is... 

Dynorphin may also influence nociception at the spinal level. The levels of prodynorphin mRNA and immunoreactive dynorphin increase in the chronic inflammatory arthritic model (158). Dynorphin also inhibits morphine or P-endorphin-induced analgesia in naive animals and enhances analgesia in tolerant animals, indicating that this peptide may have a regulatory role in opioid analgesia (159). This effect does not appear to be mediated by a classical opioid receptor, since des-tyrosine dynorphin, which does not bind to opioid receptors, also antagonizes morphine analgesia (160). 

Naively, one might assume that it should be possible to scan the sequence and pick out regions with about 20 consecutive hydrophobic amino acids. However, no such regions occur in the reaction center proteins. Just as in soluble proteins there are hydrophobic side chains at the... 

In most cases thermoplastic components are designed for use at room temperature. It might appear, therefore, that data on the impact properties at this temperature (approximately 20°C) would provide sufficient information for design. However, this approach would be rather naive since even indoors, temperatures may vary by an amount which can have a significant effect on impact behaviour. For components used outdoors of course, the situation can be much worse with conditions varying from sub-zero to tropical. In common with metals, many plastics exhibit a transition from ductile behaviour to brittle as the temperature is reduced. 

As mentioned above, the condition I is rather naive for consideration of the electronic structure of actual CNT due to the following two reasons ... 

Naively it may be expected that the correlation between pairs of electrons belonging to the same spatial MO would be the major part of the electron correlation. However, as the size of the molecule increases, the number of electron pairs belonging to different spatial MOs grows faster than those belonging to the same MO. Consider for example the valence orbitals for CH4. There are four intraorbital electron pairs of opposite spin, but there are 12 interorbital pairs of opposite spin, and 12 interorbital pairs of the same spin. A typical value for the intraorbital pair correlation of a single bond is 20kcal/ mol, while that of an interorbital pair (where the two MO are spatially close, as in CH4) is 1 kcal/mol. The interpair correlation is therefore often comparable to the intrapair contribution. 

Two groups of workers have demonstrated conclusively that the concept of three sets of substituent constants, ct, a, and ct+, is inadequate and that actually substantially continuous ranges of such constants are necessary for practically all para substituents, as well as for certain substituents in the meta position. Although their arguments, as well as their data and conclusions, are unassailable, it remains surprising that the naive approach using three selected sets is so useful and successful during the past decade we have seen and examined... 

A completely different approach has been taken by Hine, who has considered that the substituent and reaction center are not really distinct, both being substituents in a benzene nucleus, and has then related substituent and reaction constants. Although of considerable theoretical interest, Hine s work has little bearing on practical applications of the Hammett equation since he starts from the premise of unique, single-valued substituent constants. This premise is invalid whether we are utilizing the naive approach with three separate, well-defined sets or the more refined methods with a continuous range of para values. 

The treacheries inherent in naive attempts at pattern recognition are illustrated by the finding that ester known cetiedil, is said to be a peripheral vasodilator. Clemmen-sen reduction of Grignard product removes the superfluous benzylic hydroxyl group and esterification of the sodium salt of the resulting acid ) with 2- l-cycloheptylamino)ethyl chloride produces cetiedil (28). ... 

Although government officials attempted to educate the public and military personnel about atomic civil defense, in retrospect these efforts seem hopelessly naive if not intentionally misleading. Army training films advised soldiers to keep their mouths closed while obser"ving atomic test blasts in order to not inhale radioactive flying dirt. Civil defense films used a friendly animated turtle to teach schoolchildren to duck and cover during a nuclear attack—that is, duck under their desks and cover their heads. Such measures, of course, would have offered pitiful protection to those in the blast zone. 

A remarkable, but (at first sight, at least) naively unimpressive, feature of this rule is its class c4-like ability to give rise to complex ordered patterns out of an initially disordered state, or primordial soup. In figure 3.65, for example, which provides a few snapshot views of the evolution of four different random initial states taken during the first 50 iterations, we see evidence of the same typically class c4-like behavior that we have already seen so much of in one-dimensional systems. What distinguishes this system from all of the previous ones that we have studied, however, and makes this rule truly remarkable, is that Life has been proven to be capable of universal computation. 

At first sight it might seem as though we should expect the same sort of dynamics as for the one-dimensional case. Namely, that the system will evolve towards a robust least stable state for which rj x,y) = rje for all sites x and y. In turns out that this naive expectation is false. Consider a perturbation of an arbitrary site while the system is in the least stable state. The perturbation will cause the... 

Perhaps our first instinct is to take the most direct approach. Namely, to simply write down and solve a set of Newtonian cquations-of-motion describing the scattering dynamics in terms of basic system valuables. While this naive, intuitive approach might be attractive, we show below that it turns out to be both right and wrong . 

While our impassioned parable is admittedly naive, it is also the most straightforward depi( tioii of the heartfelt idea that maybe - just maybe - there is something much, much simpler than what we normally think of as fundamental physics lurking on tinier, Planck-longth, scales. The question is whether this much simpler something owes anything to CA-like formalisms. 

A third quotation to illustrate the naively reductionist approach of Bent and Weinhold is as follows ... 

Inspection of models show that the interaction between the non-bonded atoms is different in an isotactic and a syndiotactic sequence. A somewhat naive calculation based on van der Waals repulsions between the nonbonded atoms, suggests that for nonpolar vinyl monomers the syndiotactic sequence may be favored by a few tenths of a kcal/mole, and this difference might increase to... 

This theorem follows from the antisymmetry requirement (Eq. II.2) and is thus an expression for Pauli s exclusion principle. In the naive formulation of this principle, each spin orbital could be either empty or fully occupied by one electron which then would exclude any other electron from entering the same orbital. This simple model has been mathematically formulated in the Hartree-Fock scheme based on Eq. 11.38, where the form of the first-order density matrix p(x v xx) indicates that each one of the Hartree-Fock functions rplt y)2,. . ., pN is fully occupied by one electron. 

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