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    catena-Poly[[[(acetato-κ2 O,O′)cadmium]-μ-acetato-κ3 O,O′:O′-μ-{1,2-bis­[4-(pyridin-3-yl)pyrimidin-2-ylsulfan­yl]ethane}-κ2 N 4,N 4′] trihydrate]

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    The title compound, {[Cd(CH3COO)2(C20H16N6S2)]·3H2O}n, exists as a one-dimensional zigzag polymer in which the CdII ion shows a seven-coordinate [CdO5N2] distorted penta­gonal–bipyramidal geometry with the N atoms in axial positions and an N—Cd—N angle of 176.94 (13)°. The metal atoms are bridged by 1,2-bis­[4-(pyridin-3-yl)pyrimidin-2-ylsulfan­yl]ethane ligands, giving a polymeric chain extending along the b axis. Adjacent chains related by an inversion center are further bridged by Cd—O bonds formed between the O atom of one of the acetate ligands and the metal atom. The five Cd—O bond lengths are in the range 2.329 (3)–2.485 (3) Å. There are π–π stacking inter­actions between the aromatic rings of adjacent polymeric chains, the centroid–centroid distances being 3.556 (3) and 3.698 (3) Å, organizing the chains into a three-dimensional framework. This framework is additionally stabilized by extensive O—H⋯O and O—H⋯N hydrogen bonding between water mol­ecules and the ligands

    Diaqua­dibromidobis[3-dimethyl­amino-1-(4-pyridyl-κN)prop-2-en-1-one]cadmium(II)

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    In the title compound, [CdBr2(C10H12N2O)2(H2O)2], the CdII ion is located on an inversion center and is six-coordinated by two N atoms [Cd—N = 2.377 (3) Å] from two different 3-dimethyl­amino-1-(4-pyrid­yl)prop-2-en-1-one ligands, two O atoms [Cd—O = 2.355 (2) Å] from two coordinated water mol­ecules and two bromide anions [Cd—Br = 2.6855 (5) Å]. Inter­molecular O—H⋯O hydrogen bonds link the mol­ecules into layers parallel to the bc plane

    STEADY-STATE ANALYSIS OF THE GI/M/1 QUEUE WITH MULTIPLE VACATIONS AND SET-UP TIME

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    In this paper, we consider a GI/M/1 queueing model with multiple vacations and set-up time. We derive the distribution and the generating function and the stochastic decomposition of the steady-state queue length, meanwhile, we get the waiting time distributions. Key words: multiple vacations, set-up time, stochastic decompositio
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