# Complemented subspaces of A, H1, and H by Casazza P. G.

By Casazza P. G.

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Example text

N 1 2 VAR stands for the sample variance s2 , determined to s2 = n−1 i=1 (xi − x) . For measuring the Pareto front approximation quality of a population, we utilize the common S-metric (hypervolume). Furthermore, standard experiment layout and visualization techniques from the design of experiments (DOE) ﬁeld (see Montgomery [4]) are employed. 3 A Test-Problem Class: SYM-PART In a previous work [2], a conﬁgurable type III test problem with two distinct Pareto sets, overlapping only in the decision space origin, has been investigated.

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Editors, Genetic and Evolutionary Computation Conference, pages 707–714, New York, 2006. ACM Press. 7. T. Hanne. On the convergence of multiobjective evolutionary algorithms. European Journal of Operational Research, 117:553–564, 1999. 8. F. Kursawe. A Variant of Evolution Strategies for Vector Optimization. -P. Schwefel and R. M¨ anner, editors, Parallel Problem Solving from Nature, volume 496 of Lecture Notes in Computer Science (LNCS), pages 193–197, Berlin, 1991. Springer. 9. M. Laumanns, G.

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