101. Lattice Semiconductor Forecasts Slower Growth | OregonLive.com Oct 21, 2010 The Hillsboro company said sales slowed unexpectedly in September. http://blog.oregonlive.com/siliconforest/2010/10/lattice_semiconductor_forecast.

102. Lattice - Definition In colloquial usage, a lattice is a structure of crossed laths with open spaces left between them. The term is used in various technical senses, all of which have some geometrical http://www.wordiq.com/definition/Lattice

Lattice - Definition In colloquial usage, a lattice is a structure of crossed laths with open spaces left between them. The term is used in various technical senses, all of which have some geometrical relation to the dictionary definition. In one mathematical usage, a lattice is a partially ordered set (poset) in which any two elements have a supremum and an infimum . The Hasse diagrams of these posets look (in some simple cases) like the aforementioned lattices. See lattice (order) for a detailed treatment. In another mathematical usage, a lattice is a discrete subgroup of R n that spans R n as a real vector space . The elements of a lattice are regularly spaced, reminiscent of the intersection points of a lath lattice. See lattice (group) , lattice point problems. This concept is used in materials science , in which a lattice is a 3-dimensional array of regularly spaced points coinciding with the atom or molecule positions in a crystal It also occurs in computational physics , in which a lattice is an n -dimensional geometrical structure of sites , connected by bonds , which represent positions which may be occupied by atoms, molecules, electrons, spins, etc. For an article dealing with the formal representation of such structures see

103. Introduction To Cubic Crystal Lattice Structures A site introducing the properties of crystals with a cubic unit cell. http://www.okstate.edu/jgelder/solstate.html

Introduction to Cubic Crystal Lattice Structures The outstanding macroscopic properties of crystalline solids are rigidity, incompressibility and characteristic shape. All crystalline solids are composed of orderly arrangements of atoms, ions, or molecules. The macroscopic result of the microscopic arrangements of the atoms, ions or molecules is exhibited in the symmetrical shapes of the crystalline solids Solids are either amorphous, without form, or crystalline. In crystalline solid s the array of particles are well ordered. Crystalline solids have definite, rigid shapes with clearly defined faces. The arrangement of the atoms, ions or molecules are very ordered and repeat in 3-dimensions. Small, 3-dimensional, repeating units called unit cells are responsible for the order found in crystalline solids. The unit cell can be thought of as a box which when stacked together in 3-dimensions produces the crystal lattice. There are a limited number of unit cells which can be repeated in an orderly pattern in three dimensions. We will explore the cubic system in detail to understand the structure of most metals and a wide range of ionic compounds. In the cubic crystal system three types of arrangements are found;

104. Lattice Engines : Analytics Software And Services For Better Business Decision M lattice helps the Fortune 1000 maximize return on sales marketing investments through analytics software, predictive algorithms, practical mathematics http://www.lattice-engines.com/

105. Math Forum - Ask Dr. Math Can you explain why the lattice method of multiplication works? http://mathforum.org/library/drmath/view/59087.html

Associated Topics Dr. Math Home Search Dr. Math Lattice Multiplication Explained Date: 10/20/1999 at 09:55:54 From: Julie Durham a Subject: Lattice Multiplication I know how to figure out the Lattice Multiplication procedure, but I don't understand why it works. We learned the traditional way of multiplying, and it works with this but I don't see how it works when you put the numbers on a square. Why and how does it work? I asked my teacher and she said, "Magic." I was never really great at math but I like this and I want to understand why it works. How many algorithms for multiplication are there in this world? We only learned it one way and now I know two and I like this one better than the other way. Can you help, please? Can you give me other examples of multiplication algorithms? Date: 10/20/1999 at 12:18:09 From: Doctor Peterson Subject: Re: Lattice Multiplication Hi, Julie. I'm glad you find lattice multiplication useful. In case you want to see more of it, here's a page in our archives on it: Lattice Multiplication http://mathforum.org/dr.math/problems/susan.8.340.96.html

106. Molymod Molecular Models Plastic molecular models for use in chemistry, biochemistry, molecular biology (DNA double helix), semiconductors and crystal lattice structures. http://www.molecular-model.com/

107. The Lattice Inn Please Note Phillip and Terrence, two mature feline siblings, share the main level of The lattice Inn. We use high efficiency HVAC filters and HEPA vacuum http://www.thelatticeinn.com/

The Lattice Inn "More than just a place to lay your head." Please Note: Phillip and Terrence, two mature feline siblings, share the main level of The Lattice Inn. We use high efficiency HVAC filters and HEPA vacuum cleaners, but if you have an allergy or aversion to cats, please request a Cabana level room. "Heaven on Hull" From time to time, we have guests tell us how special their visit was to The Lattice Inn. One guest from Louisiana remarked that it was simply: "Heaven on Hull". You'll know exactly what the guest meant, too, once you enjoy and experience the unsurpassed hospitality here at The Lattice Inn. Our many guests continue to flatter us with their reviews posted on www.tripadvisor.com . Won't you be the next guest to say "Wow!"? And don't miss us on Facebookjust click the icon below and join our growing base of fans. The Lattice Inn welcomes The Village Kitchen to our neighborhood. Check out this new restaurant just a short stroll from our front porch. The Village Kitchen 503 Cloverdale Road For more information or to make reservations, please call or

108. Series Expansions - Iwan Jensen Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities. http://www.ms.unimelb.edu.au/~iwan/Series.html

Homepage of Dr Iwan Jensen ARC Research Fellow Department of Mathematics and Statistics Shortcuts Animals Ising Potts Polygons ... Self-Avoiding Walks Series Expansions If you are looking for a specific series try the links to the left. You may also wish to visit the On-Line Encyclopedia of Integer Sequences (OEIS) , which is an amazing treasure trove of sequences, with lots of information about their origin, references to publications, links to other sites and so on. Most series on my site is (or will eventually be) linked to the OEIS. After the internal link there is a number Axxxxxx which takes you to the OEIS. Series analysis Exact solutions from series Created: 11 April, 2009 Last modified: 11 April, 2009

109. Lectures In Combinatorics An introduction to partially ordered sets, Dilworth s theorem, lattices and combinatorial geometries. http://www.freewebs.com/desargues/combinatorics.htm

1. Partially Ordered Sets Elementary Definitions. A poset partially ordered set ) is a set P a b c P a a if a b and b c then a c if a b and b a then a b If a b and a b we write a b . We say that b covers a if a b and there does not exist c such that a c b . A subset C of P is called a chain if for any a b C , either a b or b a . A subset A of P is called an antichain if for any two distinct a b A , neither a b nor b a Examples. P Z P is a set of divisors of a given natural number n P is a set of subsets of a given set S It is often convenient to draw a poset diagram with dots representing the elements of P and a decending line connecting b with a whenever b covers a Fig 1. Dilworth's Theorem. Consider the poset P P C C C where: C C C There are other ways of decomposing P into disjoint chains, but a quick inspection shows that you cannot do it with less than 3 disjoint chains. On the other hand, there is an antichain in P with 3 elements, namely: A There are other antichains in P but a quick inspection shows that you cannot find an antichain with more than 3 elements. So the minimum number of chains that partition P is equal to the size of a maximal antichain in P Fig 2.

110. The Lattice Web lattice Quantum ChromoDynamics is a challenging computational field employing large scale numerical calculations to extract predictions of the Standard http://www.lqcd.org/

The Lattice Web A Resource for the International Lattice Gauge Theory Community Lattice Quantum ChromoDynamics is a challenging computational field employing large scale numerical calculations to extract predictions of the Standard Model of nuclear physics, Quantum ChromoDynamics. LQCD researchers currently exploit machines of scale one teraflop/s sustained, growing to several teraflop/s sustained in 2005. The links below lead to additional information about the exciting science, the complex algorithms employed, and the machines now in use and soon to be deployed. Links The USQCD Collaboration and the "National Computational Infrastructure for Lattice Gauge Theory", a part of the US Department of Energy's SciDAC program. The UKQCD Collaboration, a major UK Lattice QCD collaboration. The MILC "MIMD Lattice Computation" Collaboration , a part of USQCD with a focus on weak decays. The LHPC Lattice Hadron Physics Collaboration , a part of USQCD collaboration with a focus on hadron structure. The Lattice QCD Archive at CP-PACS in Japan.

111. Neil Sloane (home Page) Combinatorics, integer sequences, codes, sphere packings, graphs and lattices. http://www.research.att.com/~njas/

Neil J. A. Sloane: Home Page OEIS Lattices Gosset Tables ... Press clippings Voice: 973 360 8415, Fax: 973 360 8178. Email: njas@research.att.com (An alternative address, which however I do not check very often, is njasloane@gmail.com) [ Last modified Sat Oct 30 02:56:48 EDT 2010 ] Recent changes to these pages The On-Line Encyclopedia of Integer Sequences receives thousands of hits each day. Contains sequences [Sat Oct 30 02:56:48 EDT 2010] David Applegate, Marc LeBrun and N. J. A. Sloane, Carryless Arithmetic (I): The Mod 10 Version [Aug 24 2010; revised Sep 27 2010] N. J. A. Sloane, Vinay A. Vaishampayan and Sueli I. R. Costa, A Note on Projecting the Cubic Lattice [April 5, 2010; revised April 24 2010, May 25 2010, Jul 14 2010.] David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata , Feb 11 2010, revised Apr 21 2010, Oct 02 2010 The OEIS Movie! To celebrate the launching of the OEIS Foundation , Tony Noe has made a movie showing the first 1000 terms of 1000 sequences, with soundtrack from Recaman's sequence . The best way to watch it is to first download the file from Tony's web site

112. Blender 3D: Noob To Pro/Basic Animation/Lattice - Wikibooks, Collection Of Open- Sep 18, 2010 A lattice is essentially a simple container that can be used to deform and manipulate a more complex mesh in a nondestructive manner (ie. http://en.wikibooks.org/wiki/Blender_3D:_Noob_to_Pro/Basic_Animation/Lattice

Blender 3D: Noob to Pro/Basic Animation/Lattice From Wikibooks, the open-content textbooks collection Blender 3D: Noob to Pro Basic Animation Jump to: navigation search "Basic_Animation/ScreenLayout" "Basic_Animation/Bounce" Contents What is a Lattice? How to add and use a Lattice Note: Applying the Modifier Correctly Basic Exercise: ... edit What is a Lattice? A Lattice is essentially a simple container that can be used to deform and manipulate a more complex mesh in a non-destructive manner (ie. A lattice can be used to seriously deform a mesh then, if the lattice is later removed, the mesh can automatically return to its original shape). edit How to add and use a Lattice A Lattice is added to the scene in the same way other objects are added. Either: Shift-A over the 3D window and choose Lattice from the pop-up menu, or Press Spacebar over the 3D window and choose Lattice from the pop-up menu, or LMB ADD from the 3D window menu and choose Lattice from the drop-down menu The default Lattice looks just like a cube when first added except that it is just one Blender Unit (BU) wide whereas a mesh cube is 2 BU wide. When the Lattice is added, the window remains in Object Mode and the Lattice can be moved, resized and rotated like any other Blender Object.

113. Lattices, Universal Algebra And Applications Lisbon, Portugal; 2830 May 2003. http://www.ptmat.fc.ul.pt/~uaconf03/

114. Lattice Group :: Web Development Specialists :: lattice Group built a web application for MovieLot where members can rate movies , write reviews, send comments, and keep track of over 300000 films DVDs http://www.latticegroup.com/

115. Algorithmic Complexity And Universal Algebra University of Szeged, Hungary; 48 July 2005. http://www.math.u-szeged.hu/confer/algebra/

Conference on Algorithmic Complexity and Universal Algebra Dedicated to the 75th Birthday of Béla Csákány Pictures Talks Program List of participants ... Organizing committee Last updated on August 29, 2007.

116. Keith A. Kearnes University of Colorado. Algebra, Logic, Combinatorics. Resources in general algebra, universal algebra and lattice theory. http://spot.colorado.edu/~kearnes/

Keith A. Kearnes Mathematics Contact Keith A. Kearnes Department of Mathematics Research ... University of Colorado Boulder CO 80309-0395 Teaching

117. INT Summer School On "Lattice QCD And Its Applications" (07-2b) To provide a comprehensive introduction to the methods and applications of lattice QCD, beginning at a level suitable for graduate students with a knowledge http://www.int.washington.edu/PROGRAMS/07-2b.html

Organizers: Karl Jansen (DESY Zeuthen) karl.jansen@desy.de Kostas Orginos (College of William and Mary / JLab) kostas@wm.edu webpage (University of Washington) sharpe@phys.washington.edu Program Coordinator: Laura Lee lee@phys.washington.edu Calendar Schedule of Talks Participant List ... Exit report INT Summer School on "Lattice QCD and its applications" Seattle, August 8 - 28, 2007 Purpose: To provide a comprehensive introduction to the methods and applications of lattice QCD, beginning at a level suitable for graduate students with a knowledge of quantum field theory, and extended to state-of-the-art applications. The school will also be useful for beginning postdocs. Planned lectures and lecturers: Algorithms and Numerical Methods - Michael Peardon QCD at finite temperature and density - Peter Petreczky Numerical exercises in lattice field theory - Balint Joo Application of perturbative and non-perturbative methods of renormalization in lattice QCD - Stefan Sint Application of chiral perturbation to lattice QCD - Claude Bernard Light-cone hadron structure - William Detmold Heavy quarks on the lattice and their applications - Andreas Kronfeld Flavor Physics from the Lattice - Shoji Hashimoto Introduction to Lattice Supersymmetry - Simon Catterall Hadronic and nuclear physics from lattice - Martin Savage Higgs physics from the lattice - Julius Kuti Logistics: We expect students to stay in the University of Washington dormitories, which are near to the Physics-Astronomy building. We hope to be able to cover a substantial fraction of the students' local expenses.

118. Prof. Kaiser University of Houston - Mathematical logic, universal algebra, lattice theory and logic programming. http://math.uh.edu/~klaus/

Klaus Kaiser Professor of Mathematics, University of Houston Office: 607 PGH Office Phone: (713)-743-3462 The easiest way to reach me is by sending e-mail to kkaiser@uh.edu . Students and UH colleagues should use my other e-mail: klaus@math.uh.edu . You may also send me snail-mail via the Department of Mathematics, University of Houston, Houston, TX77204-3476. Information on my 2010 Fall Online course Math 5331 Linear Algebra (Online) First Information on my Fall 2010 course Advanced Linear Algebra 4377 I came to the University of Houston in 1969 with a degree from the University of Bonn (PhD 1966, Habilitation 1973, Darmstadt). My main research interests are in Mathematical Logic, Universal Algebra, Lattice Theory and Logic Programming. Some of my papers, e.g., on quasi-universal and projective model classes are with Manfred Armbrust who retired from the University of Cologne. A paper on non-standard lattice theory is with two of my former Ph.D. students Mai Gehrke and Matt Insall . We had this paper dedicated to Abraham Robinson. Since June 1996, I am the Managing Editor of the

119. Lattice Definition of lattice, possibly with links to more information and implementations. http://xw2k.nist.gov/dads/HTML/lattice.html

lattice (definition) Definition: A point lattice generated by taking integer linear combinations of a set of basis vectors. See also reduced basis Author: CRC-A Go to the Dictionary of Algorithms and Data Structures home page. If you have suggestions, corrections, or comments, please get in touch with Paul E. Black Entry modified 17 December 2004. HTML page formatted Mon Sep 27 10:31:22 2010. Cite this as: Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "lattice", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology . 17 December 2004. (accessed TODAY) Available from: http://xw2k.nist.gov/dads/HTML/lattice.html

120. A2X - Page Personnelle De Christine Bachoc Universit de Bordeaux. Number theory, theory of lattices, coding theory, and combinatorics. Publications, teaching, events. http://www.math.u-bordeaux.fr/~bachoc/

Christine Bachoc phone: (France +) 05 40 00 21 61 fax: (France +) 05 40 00 21 23 e-mail: bachoc@math.u-bordeaux1.fr 33405, Talence cedex France I am Professor of Mathematics at the University of Bordeaux since 2002. I am originaly a number theorist, mainly interested in the theory of lattices. I also work in the field of error correcting codes. Currently my favorite topics are sphere packings, discrete geometry, and combinatorial optimization. Teaching Recent Publications (only the ones that have not yet appeared): Applications of semidefinite programming to coding theory (Proceedings of ITW 2010, Dublin). Invariant semidefinite programs (with Dion C. Gijswijt, Alexander Schrijver, Frank Vallentin). Bounds for binary codes relative to pseudo-distances of k points Semidefinite programming, harmonic analysis and coding theory (the lecture notes of a course given at the CIMPA summer school Semidefinite Programming in Algebraic Combinatorics , july 2009, updated June 2010). See here my complete list of publications Catalogue of Lattices Most of the interesting known lattices, and most of the ones that appear in the preceding papers, can be found in the

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