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These theoretical predictions have been experimentally veri ed for a number of polymers. The presence of no more than 1 2% head-to-head placement in various polymers of vinyl

(continued)

esters such as poly(vinyl acetate) has been determined by hydrolysis of the polymer to poly (vinyl alcohol) and the periodate oxidation of the 1,2-glycol units [Hayashi and Ostu, 1969].

3-10

Although appropriate chemical reactions do not exist to detect the occurrence of head-tohead propagation in all but a few polymers, the use of high-resolution nuclear magnetic resonance spectroscopy (including 1H, 13C, and F19) has greatly increased our knowledge in this area [Bovey and Mirau, 1996; Bovey et al., 1977]. It is now clear that H T propagation is the predominant (>98 99%) mode of propagation in chain polymerization. For some polymers such as polystyrene there is no detectable H H placement (Hensley et al., 1995]. The only exceptions occur when the substituents on the double bond are small (and do not offer appreciable steric hindrance to the approaching radical) and do not have a signi cant resonancestabilizing effect, speci cally when uorine is the substituent. Thus, the extents of H H placements in poly(vinyl uoride), poly(vinylidene uoride), poly(tri uoroethylene), and poly(chlorotri uoroethylene) are about 10, 5, 12, and 2%, respectively [Cais and Kometani, 1984, 1988; Guiot et al., 2002; Ovenall and Uschold, 1991]. The effect of increasing the polymerization temperature is an increase in the extent of H-H placement, but the effect is small. Thus the H-H content in poly(vinyl acetate) increases from 1 to 2% when the temperature is increased from 40 to 100 C; the increase is from 10 to 14% for poly(tri uoroethylene) when the temperature is increased from 80 to 80 C. 3-2c Synthesis of Head-to-Head Polymers

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We needn t stop there. I ll ask you: Is the Art Nouveau style a chance art No Well, I suppose not. But the designs and motifs of Art Nouveau, and to a lesser degree Art Deco, were inspired by the lines of nature, master of chance art. When we naturalize a planting by throwing seeds upon a hillside instead of planting in neat rows, we re trying to replicate nature s chance arrangements. It is these chance arrangements in nature, the rhythms of shape and color surrounding an early and uninsulated humankind, that we suppose to be behind all our art. Chance is a powerful, creative force whose accidents have not only provided us with art but also the discovery of penicillin, infrared and, well, Velcro. Truth is, chance discovery is the root of much of our understanding of the natural laws that govern our very existence despite the scientists who d have you believe they re in control of it all. Sissies. Circuit-bending taps this powerful, creative, wildly artistic force, finally bringing chance to the realm of electronic design and you. As discovered, so it proceeds within the unusual technology of circuit-bending.

1939, and day-to-day money (call money) or the money-market rate since 1940. These are not precisely comparable. They are, however, sufficient to indicate market trends. These short-term French rates remained low during the first decade of the twentieth century, as did French bond yields. A sharp rise in the second decade was followed by a further rise in short rates in the 1920 s. The Bank of France discount rate got up to 71 2% and the private discount rate got up to 71 4% in 1926. By 1931, however, the bank discount rate was down to 2%, and by 1932 the private discount rate was down to 0.91%. By the mid-1930 s, easy money had vanished; the bank discount rate was up to 6%, and the private discount rate rose at one time to 5.89%. Low short rates returned during World War II, when the bank discount rate was pushed down to a new low of 15 8%. The postwar history of French short-term interest rates was different from the postwar history of long-term French bond yields. Both rose, but by 1951 the discount rate was up to only 21 2 4%, while bond yields were above 6%. In the 1950 s, short rates continued to rise, while bond yields fluctuated erratically and then declined. By 1958, short rates were at a peak, with the bank discount rate up to 5% and day-to-day money briefly up to 10.04% and averaging 6.48%. Short rates came down sharply with bond yields in 1959, and they remained low until the 1968 crisis. Then in 1970, 1974, and 1981, short rates rose to new peaks, each higher than the

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