In this paper, we extend stable inversion to nonlinear time-varying systems and study computational issues—the technique is applicable to minimum-phase as well as nonminimum-phase systems. The inversion technique is new, even in the linear time-varying case, and relies on partitioning (the dichotomic split of) the linearized system dynamics into time-varying, stable, and unstable, submanifolds....

In this article, we formalize in Mizar [5] the definition of embedding of lattice and its properties. We formally define an inner product on an embedded module. We also formalize properties of Gram matrix. We formally prove that an inverse of Gram matrix for a rational lattice exists. Lattice of Z-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lovász) base reduction algorit...

In this paper, we assume that algebras are finite dimensional algebras with 1 over a fixed field k and modules over an algebra are finitely generated left unitary modules. Let A and B be two algebras (where k is a splitting field for A and B) with no semisimple summands. If two bimodules AMB and BNA induce a stable equivalence of Morita type between A and B, and if N⊗A− maps any simple A-module...

This thesis deals with the development of a wireless sensor node for use in orienteering competitions. The nodes are used to transmit runners’ split times from control points, usually located in a forest, to a base station in the finish area. The developed sensor node is optimized for low price and uses a 500 mW radio module to achieve the required range. TinyOS is used as a software platform, ...

A new type of decomposition of graphs – the operator decomposition connected with the classical notion of homogeneous set (or module) is introduced. The properties of this decomposition are described. Using this decomposition we prove the following. Let P and Q be two hereditary graph classes such that P is closed with respect to the operation of join and Q is closed with respect to the operati...

2 D-module fundamentals 4 2.1 DX and DX -modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Inverse images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Direct images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Tensor products . . . . . . . . . . . . . . . . . . . . . . . . ....

A graph is Hamiltonian if it has a cycle that visits every vertex exactly once; such a cycle is called a Hamiltonian cycle. In general, the problem of finding a Hamiltonian cycle in a given graph is an NP-complete problem and a special case of the traveling salesman problem. It is a problem in combinatorial optimization studied in operations research and theoretical computer science; see [Garey...

Freyd’s generating hypothesis for the stable module category of a nontrivial finite group G is the statement that a map between finitely generated kGmodules that belongs to the thick subcategory generated by k factors through a projective if the induced map on Tate cohomology is trivial. In this paper we show that Freyd’s generating hypothesis fails for kG when the Sylow p-subgroup of G has ord...

This chapter introduces the phenomenon of compound contributions in dialogue and discusses their implications for NLG in interactive systems. Contributions to dialogue are often split across multiple utterances – possibly by different speakers – with each adding to an incrementally emerging representation of meaning. A suitable NLG module must therefore not only behave incrementally – able to u...

Abstract. The construction of Freudenthal’s Magic Square, which contains the exceptional simple Lie algebras of types F4, E6, E7 and E8, in terms of symmetric composition algebras is further developed here. The para-Hurwitz algebras, which form a subclass of the symmetric composition algebras, will be defined, in the split case, in terms of the natural two dimensional module for the simple Lie ...