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We next move on to midterm market design. Both retailers and producers have more dif cult issues to address in midterm markets than utility planners must consider in a traditional utility environment. They must use midterm markets to nancially balance their forecasted positions. Retailers must purchase supply to match load commitment, and producers must sell energy and capacity. By contrast, midterm planners in traditional utilities are working with well-de ned portfolios that are not far out of balance. Their main task is optimizing their portfolios to meet maintenance requirements and energy constraints as opposed to actual portfolio creation. In this section we present the market instruments that both retailers and producers use to balance their portfolio positions. Afterward, we discuss the market s ability to address midterm operational issues, maintenance scheduling, and use of energylimited resources.

and Gottfredson s Claims, Criminology 27, no. 2 (1989), 346.

(8.5)

Figure 9.5 The Fredkin gate [Fredkin and Toffoli 1982].

For a system of N conductors, each conductor is divided into a number of discrete elements as shown in Fig. 2.6.3a and, on each of these elements, the charge density is approximately expressed by a linear combination of four piecewise linear functions. Thus, the charge density si q on the ith element is given by si q

Note also that a direct implementation of the above definition is not the best way to compute closure(R). A better, much more efficient way, is to start with a relation R = R, to compute only intersections of pairs of tuples taken from R , and to add the results to R until no new tuples can be added. The final relation R is the closure of R. As for the support, the notion of a closure is extended to databases. Definition 5.4.7 Let D = (R, wR ) be a database over a set U of attributes. The closure of D is the pair closure(D) = (closure(R), wclosure(R) ), where closure(R) is the closure of the relation R and wclosure(R) : closure(R) IN, wclosure(R) (t)

The phenomena and principles of fluorescence can be demonstrated using a filtered alcoholic extract of spinach leaves and an aqueous solution of fluorescein. The procedures for preparing these samples are given in Appendix II. Although an extract of spinach contains a mixture of chlorophylls a and b, plus carotene and xanthophyll, most of the fluorescence phenomena are due to chlorophyll a. The fluorescence spectra of chlorophyll a, the major chlorophyll component, are shown in Figure 11-4. The figure shows that the absorption/excitation spectrum is broad and distinctly bimodal, with absorption peaks widely separated in the blue and red portions of the visible spectrum. Fluorescence emission at red wavelengths with an emission peak at 670 nm is the same regardless of whether blue or red wavelengths are used to excite the molecule. Notice too the very large Stokes shift from 420 to 670 nm a difference of 250 nm. Normally the chlorophyll and other pigments in intact chloroplasts act as energy transducers and do not fluoresce; rather, the electrons excited by absorbed photons are transferred to nearby enzyme assemblies (photosystems I and II) for the fixation of carbon dioxide into carbohydrate. However, when chlorophyll is extracted into a soluble form in alcohol, no electron transfer is possible, and absorbed photons are re-emitted as deep red fluorescence. If the flask of chlorophyll is placed over a bright white light source, a deep emerald green color is seen. Green wavelengths are observed because red and blue wavelengths are selectively absorbed. (Refer to subtraction colors in 2.)