'Latin squares' presentation slideshows

NETWORKS

NETWORKS Maths Club February 2007 Su Doku Previous Maths Club talk The type of Su Doku that we do today is thought to have evolved from a simpler version This simpler version is Latin Squares LEONHARD EULER Portrait by Johann Georg Brucker LEONHARD EULER

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Design and Statistical Analysis of Thorough QT (TQT) Studies

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Quasigroup transformations and their cryptographic potentials

Quasigroup transformations and their cryptographic potentials. Ass. Prof. Danilo Gligoroski Institute of Informatics, Faculty of Natural Sciences, Skopje, Republic of Macedonia. Overview. Examples and definitions of latin squares and quasigroups Latin squares in mathematics

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CS 4700: Foundations of Artificial Intelligence

CS 4700: Foundations of Artificial Intelligence. Carla P. Gomes gomes@cs.cornell.edu Module: CSP2 (Reading R&N: Chapter 5). Encodings Global Constraints Redundant Constraints Streamlining Complexity. Case Study. Latin Squares: An Abstraction for Real World Applications.

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Graph Decomposition and its Applications

Graph Decomposition and its Applications. Hung-Lin Fu ( ??? ) ???????????. Motivation. The study of graph decomposition has been one of the most important topics in graph theory and also play an important role in the study of the combinatorics of experimental designs (combinatorial designs).

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Always be contented, be grateful, be understanding and be compassionate.

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The Problem of the 36 Officers

The Problem of the 36 Officers. Kalei Titcomb. 1780: No mutual pair of orthogonal Latin squares of order n =4k+2. k =0,1. 1900: 6x6 case. 812,851,200 possible reduced to 9,408 pairs 1984: short, four page, noncomputer proof. Latin Square of order n.

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Experiments with Blocking Factors

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Three or More Factors: Latin Squares

Three or More Factors: Latin Squares. Example:. Three factors, A (block factor), B (block factor), and C (treatment factor), each at three levels. A possible arrangement:. B. B. B. 1. 2. 3. C. C. C. A. 1. 1. 1. 1. C. C. C. A. 2. 2. 2. 2. A. C. C. C. 3. 3. 3. 3.

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Sudoku and Orthogonality

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Sets of mutually orthogonal resolutions of BIBDs

Sets of mutually orthogonal resolutions of BIBDs. Svetlana Topalova, Stela Zhelezova Institute of Mathematics and Informatics, BAS, Bulgaria. Sets of mutually orthogonal resolutions of BIBDs. Introduction History m -MORs construction and classification

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Computing the chromatic number for block intersection graphs of Latin squares

Computing the chromatic number for block intersection graphs of Latin squares. Ed Sykes CS 721 project. McMaster University, December 2004. Slide 1. A Latin square is a combinatorial structure that plays a large role in the combinatorial design theory.

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CS 4700: Foundations of Artificial Intelligence

CS 4700: Foundations of Artificial Intelligence. Carla P. Gomes gomes@cs.cornell.edu Module: Instance Hardness and Phase Transitions (Reading R&N: page 224-225). Instance Hardness. Beyond NP-Completeness. NP-Completeness is a worst-case notion! Not all problems instances are the same!

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SUDOKU

SUDOKU. Patrick March, Lori Burns. History. Islamic thinks and the discovery of the latin square. Leonhard Euler, a Swiss mathematician from the 18 th century, used this idea to attempt to solve the following problem:

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Latin Square Design

Latin Square Design. Traditionally, latin squares have two blocks, 1 treatment, all of size n Yandell introduces latin squares as an incomplete factorial design instead Though his example seems to have at least one block (batch)

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MAGIC SQUARES by Megan Duke

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ECE 442 Communication System Design Lecture 3. OFDM

ECE 442 Communication System Design Lecture 3. OFDM. Husheng Li Dept. of EECS The University of Tennessee. Peak-to-Average Power Ratio. Peak-to-average power ratio (PAR) is an important attribute of a communication system: A low PAR allows the transmit power amplifier to operate efficiently.

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FACTORIAL EXPERIMENTS

FACTORIAL EXPERIMENTS. THIS APPROACH HAS SIGNIFICANT ADVANTAGES AND DISADVANTAGES. BASIC APPROACH. Access to the system or simulation k control-able independent variables (Factors) Each has an on/off, hi/low, present/absent CAUTION: These are not conditions or cases, they are decision-able.

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An FPGA Based Graph Coloring Accelerator

An FPGA Based Graph Coloring Accelerator. Lou Pochet Air Force Research Lab Information Directorate IFTC. Overview. Latin Squares/Wave Division Multiplexing Algorithm Overview Implementation Results Future Work. Latin Squares and Wave Division Multiplexing.

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