Chemical Publications: Their Nature and Use (Mellon, M. G.)

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Queue Length Distribution in M/g/1, M/g/1 and Their Variants with Completion Time

Abstract By applying the Takács’ technique about the busy period to the regenerative cycle method, this paper gives the strict proof for the time average distributions of the queue length in M/G/1 without depending on other methods. Moreover we extend its proof from the service time to the completion time(CT). That is, we choose the stochastic behavior on the completion time as the regenerative...

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Linear preservers of g-row and g-column majorization on M_{n,m}

Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn...

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The asymmetric shape of reversals of the Earth's magnetic field indicates a possible connection with relaxation oscillations as they were early discussed by van der Pol. A simple mean-field dynamo model with a spherically symmetric α coefficient is analysed with view on this similarity, and a comparison of the time series and the phase space trajectories with those of paleomagnetic measurements...

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ژورنال

عنوان ژورنال: Journal of Chemical Education

سال: 1958

ISSN: 0021-9584,1938-1328

DOI: 10.1021/ed035p582.2