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Because the battery compartment cannot be connected to the instrument in any way other than by bringing the two halves of the case together, do just that Replace a couple screws to keep the halves from coming apart Insert fresh batteries Turn the SA-2 Aleatron on and hit the demo tune (I hope you like it; you ll be hearing it a lot) With the chance dial turned down, hit the chance trigger (pushbutton) while the demo is running Nothing should happen If the instrument s audio is interrupted, you ve wired the pot in reverse Open the case and de-solder the wire going to the outside lug of the pot Solder it to the opposite outside lug instead Now, with the demo tune running, hit the chance trigger as though you re tapping a bongo drum (in other words, don t push it in like a doorbell).

ac 1 f 1 2-145

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The f in Eq. 2-145 is the functionality of the branch units, that is, of the monomer with functionality greater than 2. It is not the average functionality favg from the Carothers equation. If more than one type of multifunctional branch unit is present an average f value of all the monomer molecules with functionality greater than 2 is used in Eq. 2-145. When a f 1 equals 1 a chain segment will, on the average, be succeeded by a f 1 chains. Of these a f 1 chains a portion a will each end in a branch point so that a2 f 1 2 more chains are created. The branching process continues with the number of succeeding chains becoming progressively greater through each succeeding branching reaction. The growth of the polymer is limited only by the boundaries of the reaction vessel. If, on the other hand, a f 1 is less than 1, chain segments will not be likely to end in branch units. For a trifunctional reactant f 3 the critical value of a is 1. 2 The probability a is now related to the extent of reaction by determining the probability of obtaining a chain segment of the type shown in Eq. 2-144. The extents of reaction of A and B functional groups are pA and pB , respectively. The ratio of all A groups, both reacted and unreacted, that are part of branch units, to the total number of all A groups in the mixture is de ned by r. This corresponds to the same de nition of r as in Eq. 2-143. The probability that a B group has reacted with a branch unit is pB r. The probability that a B group has

states that did not license consumer credit companies (521) These were short loans and were usually negotiated at weekly or monthly rates, which are here converted to annual rates The conversion of rates quoted for a few days or weeks into annual rates is statistically necessary for comparative purposes but can give a distorted picture of such transactions as they are viewed by debtor and by creditor Earlier in the twentieth century, a favorite rate for illegal small loans in American cities seems to have been $1 a week for loans of $5 Needy workers might borrow $5 on Saturday and promise to repay $6 on payday, which would be Friday of the next week They would no doubt consider that the loan had financed a spree or a visit to the doctor at a cost of an extra $1.

reacted with a nonbranch A unit is pB 1 r . Therefore the probability of obtaining a A segment of the type in Eq. 2-144 is given by pA pB 1 r pA n pB r. Summation of this over all values of n and then evaluation of the summation yields

a pA pB r 1 pA pB 1 r 2-146

Tapping is key here Nothing should happen until you get the dial turned up high enough When the dial approaches the trigger threshold the music will begin to be interrupted The further you turn the dial, the more kick will be delivered through the trigger button But you don t need much For now, leave the dial set to where it just begins to influence the trigger The keyboard will probably crash A lot Each time it does, turn it off and back on Begin the demo tune again Sooner or later the trigger will initiate a passage of aleatoric, or chance, music The dial may now be backed off a little Further quick tapping of the trigger will augment the chance phases of music When a chance passage is happening, try touching the chance body-contacts.

Our mathematics tells us that they pay 20% a week, or 1040% a year If they renewed the loan weekly or, more likely, repaid each Friday and reborrowed each Saturday, they did in fact pay $52 a year for the use of $5 During the 1950 s loan shark prosecutions in New York County repeatedly revealed just this rate of interest In the 1920 s, a group of clerks in the financial district of New York made a regular business of lending to other clerks on these terms: $5 on Monday for $6 on Friday.

Either pA or pB can be eliminated by using the ratio r of all A groups to all B groups to substitute pA rpB into Eq. 2-146 to yield

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