We give a new construction of cyclic homology of an associative algebra A that does not involve Connes’ differential. Our approach is based on an extended version of the complex Ω q A, of noncommutative differential forms on A, and is similar in spirit to the de Rham approach to equivariant cohomology. Indeed, our extended complex maps naturally to the equivariant de Rham complex of any represe...

The efficacy of thermoelastic stress analysis for use in the study of moderately curved gas turbine blades is considered over a frequency range of 68 Hz to 3.4 kHz. A selection of blades, both industrial examples and simplified planar laboratory specimens, are excited at their natural vibration frequencies using both electromagnetic shakers and piezoelectric stack actuators, in order to develop...

To attack the Four Color Problem, in 1880, Tait gave a necessary and sufficient condition for plane triangulations to have a proper 4-vertex-coloring: a plane triangulation G has a proper 4-vertex-coloring if and only if the dual of G has a proper 3-edge-coloring. A cyclic coloring of a map G on a surface F 2 is a vertex-coloring of G such that any two vertices x and y receive different colors ...

We have identified a conserved family of genes related to Drosophila eag, which encodes a distinct type of voltage-activated K+ channel. Three related genes were recovered in screens of cDNA libraries from Drosophila, mouse, and human tissues. One gene is the mouse counterpart of eag; the other two represent additional subfamilies. The human gene maps to chromosome 7. Family members share at le...

Abstract: Toric posets are in some sense a natural “cyclic” version of finite posets in that they capture the fundamental features of a partial order but without the notion of minimal or maximal elements. They can be thought of combinatorially as equivalence classes of acyclic orientations under the equivalence relation generated by converting sources into sinks, or geometrically as chambers of...

A (left) group code of length n is a linear code which is the image of a (left) ideal of a group algebra via an isomorphism FG→ F which maps G to the standard basis of F. Many classical linear codes have been shown to be group codes. In this paper we obtain a criterion to decide when a linear code is a group code in terms of its intrinsical properties in the ambient space F, which does not assu...

this paper presents the results of a series of monotonic and post-cyclic triaxial tests carried out on a clay specimen and three types of clay-sand mixed specimens. the focus of the paper is on the post-cyclic mechanical behavior of the mixed specimens, as compared to their monotonic behavior. analyses of the tests results show that cyclic loading degrade undrained shear strength and deformatio...

In this thesis, we have proposed ACTOM, a Topic Map building approach based on an automated processtaking into account multilingual documents and Topic Map evolution according to content and usage changes.To enrich the Topic Map, we are based on a domain thesaurus and we propose to explore all potentialquestions related to source documents on order to represent usage in the Topic Ma...

Many documents and more generally many resources are produced or used in an e-learning application. In order to capitalize these resources and to facilitate their access, we propose to organise them in a “learning organisational memory” (MEMORAe project). In this paper, we present the context of use, the needs and the contents of this memory. We describe the ontologies and the Topic Maps formal...