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By using complex representation and GSVD of quaternion matrices, we define the norm of quaternion matrices, study the equality constrained least squares problem of quaternion matrices, give the necessary and sufficient conditions for the quaternion equality constrained least squares problem to have solutions, and finally derive a practical algorithm.
This review reports some aspects of the synthesis, chemical–physical properties and reactivity of heteropolyoxometalates. Particular attention is given to most recent developments in Nike Free Canada Sale the use of heteropolycompounds as heterogeneous and homogeneous catalysts for the Cheap Nike Free Run 2 selective oxidation of hydrocarbons.
Most of the air pollution dispersion models are applicable only when the wind has a well defined direction. The purpose of this paper is to present and apply an analytical model for calm wind situations when there is a finite mixing height. The region used in this first test is that of Antwerpen for which some meteorological parameters and a great number of point sources are available.
We deal with applicative theories which are based on combinatory logic with total application, extensionality and natural numbers. We prove a conservative extension theorem and two consistency results, involving principles of uniformity, reflection, enumeration and choice.