Convention Plus Initiative

The simplest approximation to make is simply that the initial distribution of live" sites is completely random and that any site-site correlations are negligible i.e. we first take a conventional Mean-Field approach (see section 7.4). In this case, the equilibrium density can be written down almost by inspection. The probability of a site having value 1 (= p) is equal to the probability that it had value 1 on the previous time step multiplied by the probability that it stays equal to 1 (i.e. the probability that a site has either 2 or 3 live neighboring sites) plus the probability that the site was previously equal to 0 multiplied by the probability that it become 1 (i.e. that it is surrounded by exactly 3 live sites). Letting p and p represent the density at times t and t + 1, respectively, simple counting yields ... 

G.L. Griffith F.W. Wells, USP 3083127 (1963) CA 58, 13704 (1963). Higher detonation velocity, better cratering and improved ease of initiation are claimed when NS replaces TNT in the following slurry expl 10-30% NS/35-75% AN + SN/i0-40% H2G plus conventional fueis and thickeners... 

The initial combination modality clinical studies with cisplatin and fractionated radiation therapy was carried out in head and neck cancer with weekly cisplatin (120-160 mg/m2) and conventional single daily fraction radiation (95). In a follow-up intergroup study, patients were randomized to radiation therapy alone or to radiation therapy plus 20 mg/ m2/wk cisplatin (96). Both studies showed no major increase in normal tissue toxicity in the radiation field and showed an increase in response rate. There was no increase in complete response rate or in survival. Bachaud et al.(97) carried out a randomized study comparing radiation therapy alone with concurrent cisplatin (50 mg/m2) and radiation therapy in postoperative patients. This trial produced a significant reduction in local recurrence and improved disease-free survival with 59% of the patients receiving the full planned dose of cisplatin. 

The conventional procedure of fitting a rate equation to experimental data is to use a power law reflecting the observed reaction orders. However, while fractional reaction orders may provide an acceptable fit, they cannot be produced by reasonable mechanisms. A better way is to fit the data to "one-plus" rate equations, that is, equations containing concentrations with integer exponents only, but with denominators composed of two or more additive terms of which the first is a "one." Such equations behave much like power laws with fractional exponents but, in contrast to these, can arise from reasonable mechanisms and therefore are more likely to hold over wide ranges of conditions. As an exception, rate equations with constant exponents of one half or integer (positive or negative) multiples of one half can result from chain reactions and reactions initiated by dissociation, and are acceptable if such a mechanism is probable or conceivable. 

We will illustrate this process using a hypothetical 4-year floater that deliver cash flows quarterly with a coupon formula equal to 3-month LIBOR plus 15 basis points and does not possess a cap or a floor. The coupon reset and payment dates are assumed to be the same. For ease of exposition, we will invoke some simplifying assumptions. First, the issue will be priced on a coupon reset date. Second, although floaters typically use an ACT/360 day-count convention, for simplicity we will assume that each quarter has 91 days. Third, we will assume initially that the LIBOR yield curve is flat such that all implied 3-month LIBOR forward rates are the same. (We will relax this assumption shortly.) Note the same principles apply with equal force when these assumptions are relaxed. 

Sulphur systems. Conventional cure systems for most current, practical, tyre-related and mechanical goods formulations consist of zinc oxide, plus sulphur or sulphur-donors, accelerated with sulphenamides or benzothiazoles. These types of accelerator function initially as retarders but ultimately produce very high states of cure. MBT (mercaptobenzothiazole) is an exception in that it will scorch bromobutyl stocks, but it can be used... 

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