Section 2.1 below contains a brief introduction to the theory of C -algebras associated to graphs. Some examples are presented. Section 3 contains a discussion on stability of C -algebras. We make a digression to show that for any C -dynamical system (G; ;A) with G second countable, A separable and stable, the crossed product C -algebra A o G is stable. This generalizes [12, Corollary 4.5]. Sub...

Stable heterocyclic hydroperoxide can be easily prepared as a product of fast oxidation of a 1,2,3,4-tetrahydropyridine by (3)O2 if the solution is exposed to sunlight. The driving force for the photoinduced electron transfer is calculated from electrochemical and spectroscopic data. The outcome of the reaction depends on the light intensity and the concentration of O2. In the solid state the h...

We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein’s equations with negative cosmological constant recently discussed in literature. Our results indicate that the black strings whose conformal infinity is the product of time and S × S are stable for large enough values of the event horizon radius. All topological black string...

The notion of convergent star product is generally understood as the data of a one parameter family {Et}t∈I ⊂ C∞(M) of function algebras on a Poisson manifold (M, { , }). On each of them one is given an associative algebra structure ⋆t which respect to which the function space Et is closed. The family of products {⋆t} should moreover define in some sense a deformation of the commutative pointwi...

The synthesis of citronellyl butyrate by direct esterification reaction catalyzed by immobilized lipase from Candida rugosa was studied in a continuous packed bed reactor using n-hexane as organic solvent. Parameters such as residence time, temperature, and pH were examined. The optimum conversion was obtained at a flow rate of 1 ml/min (residence time 8 min), temperature of 50 °C, and pH 7.5. ...

The regulation of activity of ribosomal RNA genes has been studied in euploid and aneuploid varieties of hyacinth. The gene/gene product relationship was determined by measuring the specific gene product (stable rRNA) and the total gene product (protein) in varieties with different dosages of rRNA genes. The results show that the cellular rRNA content is positively regulated, that maximum gene ...

We provide new non-trivial quantitative information on the behavior of Poincaré recurrence. In particular we establish the almost everywhere coincidence of the recurrence rate and of the pointwise dimension for a large class of repellers, including repellers without finite Markov partitions. Using this information, we are able to show that for locally maximal hyperbolic sets the recurrence rate...

The desymmetrisation of 1,4-difuran-2-ylbutane-1,4-diol by Sharpless asymmetric oxidation gave the corresponding desymmetrised product in > 96% ee. However, the product existed as a mixture of two interconverting isomers, both of which were mixtures of anomers. The product could be trapped in high yield with a range of reagents to give stable adducts with embedded pyran-3-one, 1,6-dioxaspiro[4....

Multiplicative relations in the cohomology ring of a manifold impose constraints upon its stable systoles. Given a compact Riemannian manifold (X, g), its real homology H∗(X, R) is naturally endowed with the stable norm. Briefly, if h ∈ Hk(X, R) then the stable norm of h is the infimum of the Riemannian kvolumes of real cycles representing h. The stable k-systole is the minimum of the stable no...