103 research outputs found

    Quasiperiodic Sturmian words and morphisms

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    We characterize all quasiperiodic Sturmian words: a Sturmian word is not quasiperiodic if and only if it is a Lyndon word. Moreover, we study links between Sturmian morphisms and quasiperiodicity

    Quasiperiodic Sturmian words and morphisms

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    AbstractWe characterize all quasiperiodic Sturmian words: A Sturmian word is not quasiperiodic if and only if it is a Lyndon word. Moreover, we study links between Sturmian morphisms and quasiperiodicity

    A Coloring Problem for Sturmian and Episturmian Words

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    We consider the following open question in the spirit of Ramsey theory: Given an aperiodic infinite word ww, does there exist a finite coloring of its factors such that no factorization of ww is monochromatic? We show that such a coloring always exists whenever ww is a Sturmian word or a standard episturmian word

    On Quasiperiodic Morphisms

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    Weakly and strongly quasiperiodic morphisms are tools introduced to study quasiperiodic words. Formally they map respectively at least one or any non-quasiperiodic word to a quasiperiodic word. Considering them both on finite and infinite words, we get four families of morphisms between which we study relations. We provide algorithms to decide whether a morphism is strongly quasiperiodic on finite words or on infinite words.Comment: 12 page

    Free and immobilized matrix molecules: impairing ionization by quenching secondary ion formation in laser desorption MS

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    Within the last 25 years, matrix-assisted laser desorption ionization (MALDI) has become a powerful analytical tool in mass spectrometry (MS). While the method has been successfully applied to characterize large organic molecules such as proteins, sugars and polymers, its utilization for small molecules (≤ 600 Da) is significantly impaired by the coformation of matrix ions. Reducing or eliminating matrix-related signals has been subject of many studies. Some of which propose the enhancement of so-called matrix suppression effects, while others suggest the replacement of matrix molecules by materials such as microporous silicon. Alternatively, the immobilization of matrix molecules by utilizing them as self-assembled monolayers (SAMs) has been discussed. In continuation of this research, the current manuscript focuses on the elucidation of ion formation processes occurring on the surface of light absorbing SAMs. Ion yields obtained by free and immobilized matrix molecules as well as those generated by matrix-free gold film-assisted laser desorption ionization (GF-LDI) were compared. Experiments showed that the formation of strong analyte signals essentially required the presence of free matrix molecules, while the immobilization of the latter severely impaired ionization. The observed effect inversely correlated with the surface coverage of SAMs determined by cyclic voltammetry (CV). Based on these findings, the MS signal generated on light absorbing SAMs could be used supplementary to CV for determining the surface coverage of light absorbing SAMs

    Reaction of anhydrous zinc chloride with 2,3-thiophenedicarbaldehyde bis(semicarbazone) (2,3BSTCH2) and bis(thiosemicarbazone) (2,3BTSTCH2): Crystal structure of {[C6H5N2S]+[ZnCl3(C6H4N2S)]−} complex

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    The reaction of anhydrous zinc chloride with 2,3-thiophenedicarbaldehyde bis(semicarbazone) or 2,3-bis(thiosemicarbazone) leads to the formation of compound {[C6H5N2S]+[ZnCl3(C6H4N2S)]−}, where C6H4N2S is thieno[2,3-d]pyridazine, via an elimination-cyclisation reaction of the semicarbazone or the thiosemicarbazone moiety. Crystal structures of thieno[2,3-d]pyridazine and {[C6H5N2S]+[ZnCl3(C6H4N2S)]−} are described. 2015 Institute of Chemistry, Slovak Academy of Science

    Concise semisynthesis of novel phenazine-vitamin E hybrids via regioselective tocopheryl ortho-quinone formation

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    A regioselective method for the semisynthesis of phenazine derivatives has been disclosed through an efficient IBX mediated ortho-quinone formation from vitamin E derivatives. High chemo- and regio-selectivity was observed during the oxidation step and the corresponding 5,6-ortho-quinones could react with various phenylenediamines. Thus, this methodology proves its interest as a concise semisynthetic pathway to phenazine-vitamin E hybrids with moderate to good yields

    Synthesis of the fusarinin scaffold

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    Date du colloque&nbsp;: 09/2009</p
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