The funding shuffles begin

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The funding shuffles begin

Pressure on university funds is almost universal. Britain launched a controversial scheme to assess the quality of research carried out by staff as a means of distributing funds for research several years ago and has been under the scrutiny of many other countries seeking to devise ways of sharing out the funding pot. For the best departments the exercise was good news — more money. But for man...

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Shuffles and Synchronized Shuffles: A Survey

We present an overview of different approaches to define shuffles and synchronized shuffles of words. The shuffle operations considered are distinguished by conditions according to which certain occurrences of symbols common to the original words may or must be identified (synchronized). The words that are shuffled may be infinite which leads to the possibility of unfair shuffling. In addition ...

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Mixable Shuffles, Quasi-shuffles and Hopf Algebras

The quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two generalizations and realize quasi-shuffle product algebras as subalgebras of mixable shuffle product algebras. As an application, we obtain Hopf algebra structures in free Rota-Baxter algebras.

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Quasi-shuffles, Mixable Shuffles and Hopf Algebras

The quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two generalizations and realize quasi-shuffle product algebras as subalgebras of mixable shuffle product algebras. This allows us to extend a previous result of Hopf algebra structure on Baxter algebras.

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Synchronized shuffles

Weextend the basic shuffle onwords and languages, awell-known operation in theoretical computer science, by introducing three synchronized shuffles. These synchronized shuffles have some relevance to molecular biology since they may be viewed as the formal representations of various forms of gene linkage during genome shuffling. More precisely, each synchronized shuffle preserves the genetic ba...

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ژورنال

عنوان ژورنال: Current Biology

سال: 2004

ISSN: 0960-9822

DOI: 10.1016/j.cub.2004.04.013