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Latin Squares

Gorenstein Latin squares

Gorenstein Latin squares

... a Latin square was introduced by ...Nowadays Latin squares have their applications in such modern branches of mathematics as compiler testing in statistics and ...of Latin squares is ...

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Completions of ε Dense Partial Latin Squares

Completions of ε Dense Partial Latin Squares

... completing Latin squares, along with their proof ...completing Latin squares (induction) with the Chetwynd/H¨ aggkvist tool of 2 × 2 trades, and our own extensions of their idea to 2×2 ...

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A further note on the arrangement of variety trials: quasi‐Latin squares

A further note on the arrangement of variety trials: quasi‐Latin squares

... I n varietal trials in quasi-Latin squares each complete replication of the varieties is arranged in the field in a square pattern, all differences between both rows and columns be[r] ...

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Improved Technique for Constructing Doubly-even Magic Squares using Basic Latin Squares

Improved Technique for Constructing Doubly-even Magic Squares using Basic Latin Squares

... a Latin square, Latin letters are seen once in each row and column whereas the sums of rows and columns are equal but not the sums of ...of Latin squares and basic Latin squares, ...

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Orthogonal Latin Squares Encoders and Syndrome Computation with Concurrent Error Detection

Orthogonal Latin Squares Encoders and Syndrome Computation with Concurrent Error Detection

... Orthogonal Latin Squares (OLS) Codes Have Gained Renewed Interest For Memory Protection Due Tot heir Modularity And The Simplicity Of The Decoding Algorithm That Enables Low Delay ...

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ERROR-CORRECTING CODES AND LATIN SQUARES

ERROR-CORRECTING CODES AND LATIN SQUARES

... of latin squares is not ...Lain squares and the characteristics of orthogonal latin squares can be employed to correct errors in the ...

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Integer and Constraint programming methods for mutually Orthogonal Latin Squares

Integer and Constraint programming methods for mutually Orthogonal Latin Squares

... two squares will be fixed concurrently or X will be completely fixed before startin g to fix Y ...different Latin squares of order n up to the first square, which does have an orthogonal m ...atin ...

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CONCURRENT ERROR DETECTION AND CORRECTION FOR ORTHOGONAL LATIN SQUARES ENCODERS AND SYNDROME COMPUTATION

CONCURRENT ERROR DETECTION AND CORRECTION FOR ORTHOGONAL LATIN SQUARES ENCODERS AND SYNDROME COMPUTATION

... redundancy is increased in a given code without aiming to enhance its error correcting capability then it will require less hardware and will result in an efficient decoder circuit. The reason is that high information ...

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Latin Square Trial Plan Applications On Observation Values Having Various Mathematical Features

Latin Square Trial Plan Applications On Observation Values Having Various Mathematical Features

... of Latin squares were investigated through the data consisting of the values concerning arithmetic sequence, geometric sequence, Fibonacci sequence and Catalan numbers, and statistical analysis was made ...

6

On the addition of further treatments to Latin Square designs

On the addition of further treatments to Latin Square designs

... A number of examples of applications of Latin Squares to problems faced by research workers in everyday practice may well be found in the following internationally reputed journals: Jour[r] ...

167

The hybrid cubes encrypion algorithm (HiSea)

The hybrid cubes encrypion algorithm (HiSea)

... Adoption of elegant mathematical properties such as orthogonal Latin squares in Balanced Block Mixer Ritter, 2004 and magic cube transformation as in Image Encryption Algorithm Shen, 200[r] ...

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Construction of lattice designs using MOLS

Construction of lattice designs using MOLS

... are used for forming combinations of elements of the ’p’ different fields. Combine the elements from ’p’different fields taking one from each field in all possible ways. There is evidently ’ϑ’ such combinations. If ’ϑ’ ...

6

Construction of PBIBD(2) Designs Using MOLS

Construction of PBIBD(2) Designs Using MOLS

... orthogonal latin squares and falsity of Euluer’s conjecture, Can. J.math, 12 ( 1960 ) 189. 4. R.C.Bose, W.H.Clatworthy and E.T.Shrikhande, Tables of partially balanced designs with two associate classes, ...

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The Map, A New Method to Define Latin Square

The Map, A New Method to Define Latin Square

... A Latin Square is generally defined as a matrix, in which each entry occurs exactly once in each row and exactly once in each column, and the range of the entries can be from 1 to the order of the ...of ...

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The use of statistical methods in agricultural experiments

The use of statistical methods in agricultural experiments

... The effectiveness of the combined experiment may be ascribed to the large share of the error eliminated in the comparison of the two Latin squares themselves, and the increase in the num[r] ...

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Approximate Least Squares Accelerator

Approximate Least Squares Accelerator

... For example, a design with mean error zero can use more approximate 2x2 blocks than a design with non-zero mean error, which means that the variance of the zero mean error design is larg[r] ...

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Latin Vallex  A Treebank based Semantic Valency Lexicon for Latin

Latin Vallex A Treebank based Semantic Valency Lexicon for Latin

... The structure of the lexicon resembles that of the valency lexicon for Czech PDT-Vallex in the theoretical context of Functional Generative Description (FGD; Sgall et al., 1986). FGD is the framework that also guides the ...

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Independence of Mean Squares in Unbalanced Nested Designs

Independence of Mean Squares in Unbalanced Nested Designs

... mean squares in the analysis of variance are independent and are chi-squares distributed under the usual normality ...mean squares and their variances can be derived ...mean squares , in ...

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On the Equivalence of the Weighted Least Squares and the Generalised Least Squares Estimators, with Applications to Kernel Smoothing

On the Equivalence of the Weighted Least Squares and the Generalised Least Squares Estimators, with Applications to Kernel Smoothing

... The Henderson filter (see Henderson, 1916, Kenny and Durbin, 1982, Loader, 1999, Ladiray and Quenneville, 2001) arises as the weighted least squares estimator of a local cubic trend at time t using 2h + 1 ...

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Evaluation of Finite State Morphological Analyzers Based on Paradigm Extraction from Wiktionary

Evaluation of Finite State Morphological Analyzers Based on Paradigm Extraction from Wiktionary

... of Latin), Turkic, Language isolated, Indo-Aryan, Slavic, Baltic, Germanic, Uralic, Celtic, Semitic, Hellenic, Kartvelian, Da- Dene, Quechua, Turkic, Niger-Congo, and an ar- tificial ...scripts: Latin, ...

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