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FIGURE 4.9 Reverse repo as a variation of a forward transaction. securities lending rate might be more appropriately called a breakeven securities lending rate for the simple reason that if the true securities lending rate were ever less than the breakeven securities lending rate, it would be desirable for investors to execute this arbitrage strategy: Buy the spot security underlying the futures contract. Go short an equal face amount of the futures contract. Finance the spot security in the securities lending market. Since the spot security can be financed at the lending rate for less than the implied lending rate, the return earned on this strategy is an arbitraged profit, and the profit is equal to the difference in the true and implied lending rates. Since cost-of-carry can be positive, zero, or even negative, a product that pays a dividend or a coupon will exhibit positive carry whenever the current yield of the product is above its financing rate. With bonds, this is typically the case when the yield curve has a positive or upward-sloping shape, as it usually does. Repeating the formula for a call option, we have Oc F K V.

5:9

among a(H+), Ka, Kf(HA ), the analytical concentration of HA (Ca : [HA]+[HA ]), and that of R4NA 2 2 (Cs : [A ]+[HA ]): 2 a(H+)2c2Cs a(H+)cKa{(Ca + Cs) + Kf(HA )(Cs Ca)2} + K2Ca = 0 2 a Here we assume that [H+] ( Cs, Et4NA and Et4NHA2 are completely dissociated, and the solution is free from acidic or basic impurities that may influence the dissociation equilibrium. If the values of Ka, Kf(HA ), Ca and Cs are known, we can get a(H+) by solving the quadratic equation. Figure 3.3 shows the 2 simulated titration curves for various values of Kf(HA )(Ca+Cs). If we compare the experimental ti2 tration curve with the simulated ones (curve-fitting method), we can get the value of Kf(HA ) (see 2 Fig. 6.6). The value of Kf(HA ) can also be obtained by the relation: 2 Kf(HA ) = {r2Cs r(Ca+Cs)+Ca}/{r(Ca Cs)2} 2 where r is defined by r = a(H+)c/Ka and is equal to the ratio of a(H+)c at a given point on the titration curve and that at the half-neutralization point, because Ka = a(H+)1/2c1/2. 7) The buffer capacity (b) of a solution is defined as the number of moles of strong base needed to increase the paH of 1 liter of the solution by one unit, and can be expressed by b = dCs/dpaH = 2.3[H+](dCs/d[H+]) Thus, the buffer capacity b at each point of the titration curve is inversely proportional to the slope of the tangential line to the curve. When homoconjugation occurs, b is expressed approximately by the following relation [11]: b 2:3fKa K f HA Ca Cs 2 Ka Ca Cs 2Cs H g 2

Honig v. Doe, 210 Hyperactive students, use of medication with, 211 214 IEP Team, 139 140 Inclusion, 145 149 Independent evaluation, under IDEA, 137 Individualized education program (IEP), 138 145 Individualized family service plan (IFSP), 163 164 Infants and toddlers, under IDEA, 160 165 Ingraham v. Wright, 246 Interim alternative educational setting, 250 Irving Independent School District v. Tatro, 153 154 Jacob K. Javits Gifted and Talented Students Education Act of 1988, 262 Jaffee v. Redmond, 68 J.D. by J.D. v. Pawlet School District, 128 John K. and Mary K. v. Board of Education for School District #65, 76 Johnson v. Independent School District No. 4 of Bixby, Tulsa County, Oklahoma, 151 Kelson v. City of Springfield, 195 196, 256 Kerkam v. McKenzie, 152 Labels, diagnostic, 98 Landstrom v. Illinois Department of Children and Family Services, 48 Larry P. v. Riles, 134 135 Lau v. Nichols, 261 Learning disability, under IDEA, 122 124, 126 128 Least restrictive alternative (LRA), doctrine of, 145 Least restrictive environment (LRE) under IDEA, 145 149 under Section 504, 43 45 Licensure of School Psychologists, 43 45 Limited English proficiency, 37, 90 91, 261 262 Lyons by Alexander v. Smith, 179 Mainstreaming (See inclusion)

TABLE A.1 Example for a Fuzzy Rule Base Feature Rule r1 r2 r3 r4 r5 ... rn F1 Low Medium Low Low Medium ... Low F2 Medium High High High Medium ... High F3 Medium Medium Medium Medium Medium ... Medium F4 Medium Low High High Medium ... Low Class 1 2 3 1 4 ... 5

*Eric Bangeman, Internet Explorer loses ground to Firefox, Safari in US; holds its ground worldwide, ars technica, (February 22, 2007), available at http://arstechnica.com/ news.ars/post/20070222-8908.html.