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Showing 1 to 20 of 27 for “"Latin squares"”.
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Latin Squares and Applications
… We introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogonal Latin squares. Special type of Latin squares, gerechte …
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Subconstituent Algebras of Latin Squares
Let n be a positive integer. A Latin square of order n is an n×n array L such that each element of some n-set occurs in each row and in each column of L exactly once. It is well-known that one may construct a 4-class association scheme on the positions of a Latin square, where the relations are the …
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Approximate Transversals of Latin Squares
<p>A latin square of order <em>n</em> is an <em>n</em> by <em>n</em> array whose entries are drawn from an <em>n</em>-set of symbols such that each symbol appears precisely once in each row and column. A transversal of a latin square is a subset of cells that meets each row, column, and symbol …
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Critical sets of full Latin squares
… the properties of critical sets of the full n-Latin square and related combinatorial structures including full designs, (m,n,2)-balanced Latin rectangles and n-Latin cubes. In Chapter 3 we study known results on designs and the analogies between critical sets of the full n-Latin square and …
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Construction of sets of mutually orthogonal Latin squares
Digitized by Kansas Correctional Industries
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Construction of sets of mutually orthogonal Latin squares
Digitized by Kansas Correctional Industries
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Algebraic Structures and Variations: From Latin Squares to Lie Quasigroups
… and loops and their historical connection with Latin squares; considering them in both finite and continuous variations. We also consider various mappings between such algebraic objects and utilize matrix representations to give a negative conclusion to a question concerning isotopies in the …
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Change-over designs
… n, the number of treatments, even, any number of Latin squares can be used; for n odd, an even number of squares is necessary. Type II: Formed by repeating the final period of Type I designs. Direct and residual effects are orthogonal. Type III: Formed from p<n corresponding rows of n-1 orthogonal …
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ΙΔΙΟΤΗΤΕΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΤΩΝ ΜΕΤΑΘΕΣΕΩΝ ΤΟΥ ΣΥΝΟΛΟΥ [N]
… OF BLACK FOR SITUATION OF CHOICE (3) LATIN SQUARES.
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An investigation of relationships between graph theory and coding theory
… are connections with designs, orthogonal latin squares and finite projective planes and various existence and non-existence results are derived for completely regular codes in three infinite families of distance-regular graphs.
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Tópicos de planeamento de experiências : uma abordagem estatística, computacional e matemática
… baseados em Quadrados, nomeadamente Quadrados Latinos, Quadrados Greco-Latinos e Quadrados de Youden, apresentando as suas relações. A vertente privilegiada será a Estatística, embora complementada com aspetos quer computacionais quer matemáticos. Na vertente computacional, após uma breve …
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The Gordon game
… group sequencings to construct row-complete Latin squares, John Isbell introduced the idea of competitive sequencing, the Gordon Game. Isbell investigated the Gordon Game and found solutions for groups of small order. The purpose of this thesis is to analyze the Gordon Game and develop a …
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Theory and application of back-tracking techniques
… conjecture. "There are no non-cyclic pure Latin squares.'</p>
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Effect of dietary protein degradability and fat on rumen, blood and milk components of Jersey and Holstein cows
… ruminal and duodenal cannulas were used in 4 x 4 Latin squares to investigate the effects of dietary protein degradability and supplemental fat on rumen, blood, and milk components. Diet dry matter contained 16% CP with two levels of rumen undegradable protein (RUP) obtained by substituting blood …
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Influence of energy concentration of fattening rations on nitrogen utilization by steers
… design consisted of two randomly selected 3 x 3 Latin squares. Three fattening rations were ted which contained 1133, 1164 and 1222 kcal. digestible energy per lb. feed and 12.18, 12.51 and 12.29% crude protein, respectively. The rations were composed of 10% grass hay, shelled corn, corn cobs and …
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Problems and results on linear hypergraphs
… We begin with a problem of Hrushovski concerning Latin squares satisfying a partial associativity condition. From an $n\times n$ Latin square $A$ one can define a binary operation $\circ:[n]\times[n]\to [n]$, and $\circ$ is associative if and only if $A$ is a group multiplication table. Hrushovski …
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Digestion and palatability of corn oil in equine
… gelding ponies weighing about 225 kg (incomplete Latin squares). A 7-day preliminary period preceded each 7-day collection period. Canvass collection bags and harnesses were used to collect total fecal excreta. In each trial, two ponies were fed each of four rations. The basal ration was composed …
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Strictly Concentric Magic Squares
Magic Squares as a mathematical structure have existed for 5000 years, yet they are still an interesting topic of new research. This thesis presents general denitions, examples and important properties of Strictly Concentric Magic Squares (SCMS). Using the known minimum centre cell value of Prime …
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Slow-Release Urea and Highly Fermentable Sugars in Diets Fed to Lactating Dairy Cows
… by parity and assigned randomly to three 4 x 4 Latin Squares with a 2 x 2 factorial arrangements of treatments. Basal diets were formulated for 16.6% CP and 1.55 Meal/kg NEL and contained 35% of dietary dry matter (DM) as com silage, 15% alfalfa hay, 34% of a varying concentrate mix of ground …
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