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ORTHOGONAL PARTITIONS OF THE 5 × 5 LATIN SQUARES

Annals of Eugenics, 1946
The articles published by the Annals of Eugenics (1925–1954) have been made available online as an historical archive intended for scholarly use. The work of eugenicists was often pervaded by prejudice against racial, ethnic and disabled groups. The online publication of this material for scholarly research purposes is not an endorsement of those views
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Orthogonality and Linear Sufficiency in Partitioned and Reduced Linear Models

Communications in Statistics - Theory and Methods, 2011
The partitioned linear model ℳ12 is considered together with the reduced counterparts ℳ2 and ℳ(2), which are free from nuisance parameters present in ℳ12. The conditions are established under which the best linear unbiased estimator of parametric functions in the reduced model ℳ2(ℳ(2)) preserves its optimality in ℳ12.
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Triangle Contact Systems, Orthogonal Plane Partitions, and their Hit Graphs

2001
A triangle contact system S is a geometrical object on the plane consisting of finite number of triangular disks {.si, ..., sn} in a triangle ? bounded by three segments A, B and C such that every vertex of each Si coincides with an inner point of either A, B, C or a segment of some Sj.
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Automorphisms of orthogonal decompositions and of group algebras of groups with partitions

Sbornik: Mathematics, 1995
Summary: This article is devoted to an investigation of the following conjecture. If \(\{H_i\}\) is a family of subgroups that partition a finite group \(G\), then every automorphism \(\sigma\) of the group algebra \(\mathbb{C}[G]\) that permutes the subalgebras \(\mathbb{C}[H_i]\) also permutes the lines \(\mathbb{C}\cdot g\), \(g\in G\).
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Self-orthogonal codes from equitable partitions of association schemes

Journal of Algebraic Combinatorics, 2022
Andrea Svob   +2 more
exaly  

Orthogonal partitions into four parts.

CoRR
Alexey Fakhrutdinov, Oleg R. Musin
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Improved Modulation Schemes for Lattice-Partition-Based Downlink Non-Orthogonal Multiple Access Systems

IEEE Wireless Communications Letters, 2020
Chin-Liang Wang, Ting-Han Liou
exaly  

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