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Rectangularity Versus Piecewise Rectangularity of Product Spaces

Canadian Mathematical Bulletin, 1987
AbstractWe shall discuss relations between rectangularity and piecewise rectangularity of product spaces. In particular, we show that for each positive integer n there exists an n-dimensional, collectionwise normal, non-piecewise rectangular product X × Y which satisfies the inequality dim (X × Y) ≤ dim X + dim Y.
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Scattering at Rectangular-to-Rectangular Waveguide Junctions

IEEE Transactions on Microwave Theory and Techniques, 1982
A formally exact solution is given for the problem of scattering at a circular-to-rectangular waveguide junction and at a thick diaphragm, with a centered circular aperture, in a rectangular waveguide. The method uses normal TE and TM mode expansions of the waveguide fields and traditional mode matching of the transverse electric and magnetic fields at
R. Safavi-Naini, R.H. Macphie
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Rectangular Hardinian Arrays

ACM Communications in Computer Algebra
We resolve some open conjectures from the OEIS about Hardinian arrays (see A253217). In particular, we show via the transfer matrix method that H r ( n, k ), the number of n × k Hardinian arrays with parameter r
Dougherty-Bliss, Robert, Spahn, George
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Rectangular Lattices Revisited

1985
The intrablock analysis of rectangular lattices can be clarified by knowledge of the canonical structure of block and treatment subspaces. In this case there are natural canonical subspaces in block space having factorial structure, in contrast to the situation e.g.
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Rectangular algebras

[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic, 2003
R. Poschel, M. Reichel
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