The notion of $k$-frames was recently introduced by Gu avruc ta in Hilbert  spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous $k$-frame, so called c$k$-frame along with an atomic system ...

The important application of semi-static hedging in financial markets naturally leads to the notion of quasi self-dual processes which is, for continuous semimartingales, related to symmetry properties of both their ordinary as well as their stochastic logarithms. We provide a structure result for continuous quasi self-dual processes. Moreover, we give a characterisation of continuous Ocone mar...

We report the microfluidic control of a synthetic biological system using a one milliliter volume microbioreactor. Precise fluid injection and mixing enable control schemes such as rapid medium introduction in continuous culture conditions. A Saccharomyces cerevisiae strain with a dual inducible fluorescent reporter system was tested with the microbioreactor cultivation for precise induction co...

The goal of our study is twofold. First, the results of two approaches in a tone annotation task are presented: a manual approach provided by the system MISTRAL+ and an automatic approach provided by the system PROSOTRAN. Second, an attempt is made here to determine the number and the patterns of the Mo Piu language tones with respect to the pitch slope and the tone level. It is found that both...

let φ be a w  -continuous homomorphism from a dual banach algebra to c. the notion of φ-connes amenability is studied and some characterizations is given. a type of diagonal for dual banach algebras is de ned. it is proved that the existence of such a diagonal is equivalent to φ-connes amenability. it is also shown that φ-connes amenability is equivalent to so-called φ-splitting of a certain s...