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  • 1995-1999  (2)
  • 1
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let T ε,ω be a transformation of the two-dimensional torus T 2 given by the formula T ε,ω ∶ (x, y)→(2x, y+ Ω+εx) mod 1.A version of the functional central limit theorem is formulated for variables of the form $$n^{ - 1/2} \sum\nolimits_{k = 0}^\infty {f o T_{\varepsilon ,\omega }^k } $$ ,where ε is an irrational number and f belongs to a class of real- valued functions on T 2 described in terms of ε. The proof will be published elsewhere.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 0044-2313
    Keywords: Tetraalkyl phosphonium triiodide ; tetraalkyl arsonium triiodide ; tetraalkyl stibonium triiodide ; crystal structures ; Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Syntheses and Crystal Structure Analyses of Tetraalkyl Phosphonium, Arsonium, and Stibonium TriiodidesThe reaction of Me4EI (E=P, As), Me3EtSbI, Me2Et2SbI, MeEt3SbI, or Et4SbI with I2 in absence of solvent gives Me4PI3 (E=P, As), Me3EtSbI3, Me2Et2SbI3, MeEt3SbI3, or Et4SbI3. Me4SbI3 is formed in a reversible reaction by addition of I2 to (Me4Sb)3I8 or by reaction of a solution of Me4SbI in ethanol with I2 in benzene. The crystal structures of Me4EI3 (E=P, Sb), and Me3EtSbI3 and the syntheses of the novel compounds are reported.
    Notes: Die Reaktion von Me4EI (E=P, As), Me3EtSbI, Me2Et2SbI, MeEt3SbI oder Et4SbI mit I2 im Substanzgemisch ohne Lösungsmittel führt zu den entsprechenden Triiodiden Me4EI3 (E=P, As), Me3EtSbI3, Me2Et2SbI3, MeEt3SbI3 oder Et4SbI3. Me4SbI3 entsteht in reversibler Reaktion durch Zugabe von I2 zu (Me4Sb)3I8 oder durch Umsetzung einer ethanolischen Lösung von Me4SbI mit einer Lösung von Iod in Benzol. Über die Kristallstrukturen von Me4EI3 (E=P, Sb) und Me3EtSbI3 und die Synthese der neuen Verbindungen wird berichtet.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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