Very general concepts of scatter, extending the traditional notion of covariance ma-trices, have become classical tools in robust multivariate analysis. In many problems of practical importance (principal components, canonical correlation, testing for spheric-ity), only homogeneous functions

. However, the main parts, Chapters 1–3 and 5, still form the foundations of the subject. These notes provide additional exercises to [KM98]. The main definitions and theorems are recalled but not proved here. The emphasis is on the many examples that illustrate the methods, their shortcomings and some

Abstract. We describe an abstract proof-theoretic framework based on normal-form proofs, defined using well-founded orderings on proof objects. This leads to robust notions of canonical presentation and redundancy. Fairness of deductive mechanisms – in this general framework – leads to completeness

normalization of weighted characters and a transfer conjecture

art as informational paradox 371

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of the regular equivalences of the

λ: eigenvalue x: right eigenvector. y H A = λy H, y left eigenvector. EIG Singular Value Decomposition Software Summary

channel paraunitary filter banks based on linear

An ontology is a set of definitions of content-specific knowledge representation primitives: classes, relations, functions, and object constants. Ontolingua is mechanism for writing ontologies in a canonical format, such that they can be easily translated into a variety of representation