Cocycles of Zm-actions on compact metric spaces provide a means for constructing Rm-actions or flows, called suspension flows. It is known that all Rm flows with a free dense orbit have an almost one-to-one extension which is a suspension flow. In this paper we investigate when the space for a suspension flow depends only on the given Zm-action and not on the actual cocycle. The identity map I ...

2 The Construction Fix n = m2 for a natural m and let An =Zm Zm,Zm being the group of integers modulo m. An may be thought of a combinatorial torus. Consider the following 5 bijections on An: 1. σ0 : (x;y) 7! (x;y), 2. σ1 : (x;y) 7! (x;x+ y), 3. σ2 : (x;y) 7! (x;x+ y+1), 4. σ3 : (x;y) 7! (x+ y;y), and 5. σ4 : (x;y) 7! (x+ y+1;y), addition modulo m. Now define Gn = (Un;Vn; En) as follows: Un = V...

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 . . . . . . . . . . . . . . . . . . . . . . . . ....

Optical orthogonal signature pattern codes (OOSPCs) play an important role in a novel type of optical code-division multiple-access (CDMA) network for 2-dimensional image transmission. There is a one-to-one correspondence between an (m,n,w, λ)-OOSPC and a (λ+ 1)-(mn,w, 1) packing design admitting an automorphism group isomorphic to Zm × Zn. In 2010, Sawa gave the first infinite class of (m,n, 4...

In this paper we consider the problem of inverting an n × n circulant matrix with entries over Zm. We show that the algorithm for inverting circulants, based on the reduction to diagonal form by means of FFT, has some drawbacks when working over Zm. We present three different algorithms which do not use this approach. Our algorithms require different degrees of knowledge of m and n, and their c...

Reactive oxygen species (ROS) play a fundamental role in both apoptotic and necrotic cell death. Their importance is highlighted by studies showing that they mediate cell death in response to radiotherapy and to some forms of chemotherapy. Here we provide the first evidence for a role of ROS in response to an antiendocrine agent currently undergoing clinical trials. Using the oestrogen receptor...

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...

1. Konstytucja Rzeczypospolitej Polskiej z dnia 2 kwietnia 1997 r. (DzU r., Nr 78, poz. 483 ze zm.). Google Scholar

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 ...