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Kissinger, P. T., Heineman, W. R. (Eds) Laboratory Techniques in Electroanalytical Chemistry, 2nd edn, Marcel Dekker, New York, 1996. Aurbach, D. (Ed.) Non-aqueous Electrochemistry, Marcel Dekker, New York, 1999. Bard, A. J., Faulkner, L. R. Electrochemical Methods, Fundamentals and Applications, 2nd edn, Wiley & Sons, New York, 2001. (a) Alehasham, S., Chambers, F., Strojek, J. W., Swain, G. M., Ramesham, R. Anal. Chem. 1995, 67, 2812; (b) Wu, Z., Yano, T., Tryk, D. A., Hashimoto, K., Fujishima, A. Chem. Lett. 1998, 503. Butler, J. N., in Advances in Electrochemistry and Electrochemical Engineering, Vol. 7 (Eds. P. Delahay, C. W. Tobias), Interscience Publishers, New York, 1970, pp. 77 175. Gritzner, G., Kuta, J. Pure Appl. Chem. 1984, 56, 461. Ref. 1, pp. 197, 199. Ref. 1, pp. 249 286. Katovic, V., May, M. A., Keszthelyi, C. P., in Ref. 6, 18. Frank, S. N., Park, S.-M., Ref. 6, 19. Lines, R., Jensen, B. S., Parker, V. D. Acta Chem. Scand. 1978, B32, 510; Jensen, B. S., Parker, V. D. J. Am. Chem. Soc. 1975, 97, 5211. Galus, Z. Pure Appl. Chem. 1984, 56, 635. For example, (a) Mann, C. K., Barnes, K. K. Electrochemical Reactions in Nonaqueous Systems, Marcel Dekker, New York, 1970, 14; (b) Meites, L., Zuman, P. (Eds) CRC Handbook Series in Inorganic Electrochemistry, Vols I VIII, CRC Press, Boca Raton, FL, 1980 1988; (c) Bard, A. J. (Ed.) Encyclopedia of Electrochemistry of the Elements, Vols I XIV (Inorganic Section), Marcel Dekker, New York, 1973 1980; (d) Reports from IUPAC Commission on Electroanalytical Chemistry, Pure Appl. Chem. 1977, 49, 217, 877; 1983, 55, 1373. Gritzner, G. Pure Appl. Chem. 1990, 62, 1839.

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Proof. For Ran(f ) there exists d DS such that f (d) = . De ne the numbers a ,d = min{d(x, y)|x = y, x y}, b ,d = max{d(x, y)|x y}. In other words, a ,d is the smallest d value for two distinct objects that belong to the same -cluster, and b ,d is the largest d value for two objects that belong to different -clusters. Let (a, b) a pair of positive numbers such that a a ,d and b b ,d . If d is a de nite dissimilarity that is (a, b)-conformant to , then x y implies d (x, y) a a ,d d(x, y) and x y implies d (x, y) b > b ,d > d(x, y), so d is a transformation of d. By the consistency property of f , we have f (d ) = . This implies that (a, b) is -forcing. Theorem 13 If f is a scale-invariant and consistent clustering function on a set S, then its range is an antichain in poset (PART(S), ). Proof. This statement is equivalent to saying that for any scale-invariant and consistent clustering function no two distinct partitions of S that are values of f are comparable. Suppose that there are two clusterings, 0 and 1 , in the range of a scale-invariant and consistent clustering such that 0 < 1 . Let (ai , bi ) be a i -forcing pair for i = 0, 1, where a0 < b0 and a1 < b1 . Let a2 be a number such that a2 a1 and choose such that 0< < a0 a2 . b0

An important element of control, both with respect to content and to resources and planning, is coordination of all current developments. In the case of content coordination, enterprise architecture plays an important part. After all, the primary aim of the enterprise architecture is to guarantee cohesion among all developments (i.e., architecture as a management tool). This is one of the responsibilities of architects. In collaboration with the project team, the architects draw up a projectstart architecture for every project a specific detailing of part of the architectural framework. Keeping the architectural framework consistent as a whole guarantees that the project-start architecture fits into the larger picture. That projects do not have conflicting goals is ensured by relating each project to business objectives established by management. If management draws up new rules, these will always be checked for consistency with existing objectives.

or row vectors, y y1 ; y2 ; y3 ; . . . ; ym : Unless speci ed otherwise, vectors can be assumed to be column vectors. The scalars vk or yk are called the components of v or y, respectively. The number of components of a vector (rows in a column vector or columns in a row vector) is called its dimension. The dimension of v shown above is the integer n and the dimension of y is m. An n-dimensional vector is also called an n-vector. Vectors are represented by boldface lowercase letters, and the corresponding italic lowercase letters with subscripts represent the scalar components of the associated vector.

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