Tucker structure

We propose rigorously optimised supervised feature extraction methods for multilinear data based on Multilinear Discriminant Analysis (MDA) and demonstrate their usage on Electroencephalography (EEG) and simulated data. While existing MDA methods use heuristic optimisation procedures based on an ambiguous Tucker structure, we propose a rigorous approach via optimisation on the cross-product of Stiefel manifolds.

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Chapter 2 - Syntax. We shall see that most of the syntactic structure of modern programming languages is defined using a linguistic formalism called the contextjree grammm: Other elements of syntax are outside the realm of context-free grammars, and are defined by other means. A careful treatment of programming language syntax appears in Chapter 2. This chapter provides knowledge of grammars of syntax: backus-naur form, derivations, parse trees.

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Chapter 5 - Types. A language's types denote the kinds of values that programs can manipulate: simple types, structured types, and more complex types. Among the simple types are integers, decimal numbers, characters, and boolean values. Structured types include character strings, lists, trees, and hash tables. More complex types include functions and classes. Types are more fully discussed in Chapter 5.

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A language's types denote the kinds of values that programs can manipulate: simple types, structured types, and more complex types. This chapter presents the following content: Recursive data types, functions as types, type equivalence, subtypes, polymorphism and generics, programmer-defined types.

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The imperative programming paradigm is the subject of Chapter 12. This chapter presents the following content: What makes a language imperative? Procedural abstraction, expressions and assignment, library support for data structures.

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Chapter 13b - Smalltalk. Smalltalk is a very simple language, both syntactically and semantically. The power of Smalltalk comes from its class libraries, most of which are written in Smalltalk itself. Interestingly, even control structures are objects in Smalltalk.

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Chapter 18d - Correctness of functional programs. This section addresses the question of program correctness functional programming. We visit the question of how to prove a program conect for the special case when it is written in a pure functional program-one that is state-less and relies instead on functional composition and recursion as a foundation for its semantics.

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The Geological Field Guide Series The Field Description of Metamorphic Rocks, Norman Fry The Mapping of Geological Structures, Ken McClay Field Geophysics, Fourth edition John Milsom The Field Description of Igneous Rocks, Second edition Dougal Jerram and Nick Petford Sedimentary Rocks in the Field, Fourth edition Maurice Tucker

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