Generalizing work of Doi and of Farinati and Solotar, we define coHochschild and cocyclic homology theories for chain coalgebras over any commutative ring and prove their naturality with respect to morphisms of chain coalgebras up to strong homotopy. As a consequence we obtain that if the comultiplication of a chain coalgebra is itself a morphism of chain coalgebras up to strong homotopy, then ...

experimental study of the cyclic behavior of unsaturated materials is more complex than that of the saturated materials due to the required equipment, experience and time. furthering investigations in the field of unsaturated materials is necessary to better understand its complexity and sensitivity of unsaturated cyclic parameters to different determinants such as suction path, stress path, lo...

We study the structure of the 2D bifurcation diagram for a two-parameter family of piecewise smooth unimodal maps f with one break point. Analysing the parameters of the normal form for the border-collision bifurcation of an attracting n-cycle of the map f, we describe the possible kinds of dynamics associated with such a bifurcation. Emergence and role of border-collision bifurcation curves in...

Denef and Loeser defined a map from the Grothendieck ring of sets definable in pseudo-finite fields to the Grothendieck ring of Chow motives, thus enabling to apply any cohomological invariant to these sets. We generalize this to perfect, pseudo algebraically closed fields with pro-cyclic Galois group. In addition, we define some maps between different Grothendieck rings of definable sets which...

By building on a cyclic model of lifelong learning that includes self awareness, self management, meta-learning and self monitoring, this paper reports on attempts to introduce lifelong learning skills to a class of second year engineering students. The unit taught in this case study is Physical Electronics 203. Concept maps, student generated assessment criteria, group interaction and peer ass...

Rabbit antiserum prepared against a cyclic 19-amino-acid peptide predicted from the sequence of the viral mos gene (v-mos) of Moloney murine sarcoma virus not only recognized v-mos gene products but also specifically detected a 55,000-Mr polypeptide expressed in a variety of cells that grow on solid surfaces. This normal cellular protein, previously shown to be reduced in amount in cells expres...

We generalize the Weil descent construction of the GHS attack to arbitrary Artin-Schreier extensions. We give a formula for the characteristic polynomial of Frobenius of the obtained curves and prove that the large cyclic factor of the input elliptic curve is not contained in the kernel of the composition of the conorm and norm maps. As an application we almost square the number of elliptic cur...

In this paper, utilizing maps between cyclic groups contained in a finite field, two efficient methods for compressing a Tate pairing defined on a supersingular elliptic curve with prime characteristic p and MOV degree 3 are presented. They compress a pairing value from a string of length of 6logp bits to ones of 3logp and 2logp bits, respectively, and an implementation for both the compressed ...

Lifts of graph and map automorphisms can be described in terms of voltage assignments that are, in a sense, compatible with the automorphisms. We show that compatibility of ordinary voltage assignments in Abelian groups is related to orthogonality in certain Z-modules. For cyclic groups, compatibility turns out to be equivalent with the existence of eigenvectors of certain matrices that are nat...

Spark-ignition engines exhibit patterns of increasing instability as engine fueling goes from stoichiometric to lean. The observation of time irreversibility in cycleresolved combustion measurements indicates that this combustion instability is inherently nonlinear. Using time return maps and symbolic time-series analysis, we demonstrate the presence of strong time irreversibility in experiment...