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PARTITION REGULARITY OF MATRICES
 INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 7(2) (2007), #A18
, 2007
"... This is a survey of results on partition regularity of matrices, beginning with the classic results of Richard Rado on kernel partition regularity, continuing with the groundbreaking results of Walter Deuber on image partition regularity, and leading up to the present day. Included are the largely s ..."
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Cited by 20 (15 self)
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This is a survey of results on partition regularity of matrices, beginning with the classic results of Richard Rado on kernel partition regularity, continuing with the groundbreaking results of Walter Deuber on image partition regularity, and leading up to the present day. Included are the largely
A Zoo of l_1embeddable Polytopal Graphs
, 1996
"... A simple graph G = (V; E) is called l 1 graph if, for some ,n 2 IN , there exists a vertexaddressing of each vertex v of G by a vertex a(v) of the n cube H n preserving, up to the scale , the graph distance, i.e. dG (v; v 0 ) = dHn (a(v); a(v 0 )) for all v 2 V . We distinguish l 1 graphs ..."
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Cited by 4 (1 self)
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A simple graph G = (V; E) is called l 1 graph if, for some ,n 2 IN , there exists a vertexaddressing of each vertex v of G by a vertex a(v) of the n cube H n preserving, up to the scale , the graph distance, i.e. dG (v; v 0 ) = dHn (a(v); a(v 0 )) for all v 2 V . We distinguish l 1 graphs
Amenability And Paradoxical Decompositions For Pseudogroups And For Discrete Metric Spaces
 Proc. Steklov Inst. Math
, 1997
"... . This is an expostion of various aspects of amenability and paradoxical decompositions for groups, group actions and metric spaces. First, we review the formalism of pseudogroups, which is well adapted to stating the alternative of Tarski, according to which a pseudogroup without invariant mean giv ..."
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Cited by 14 (0 self)
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. This is an expostion of various aspects of amenability and paradoxical decompositions for groups, group actions and metric spaces. First, we review the formalism of pseudogroups, which is well adapted to stating the alternative of Tarski, according to which a pseudogroup without invariant mean
AMENABILITY AND PARADOXICAL DECOMPOSITIONS FOR PSEUDOGROUPS AND FOR DISCRETE METRIC SPACES
, 1998
"... This is an expostion of various aspects of amenability and paradoxical decompositions for groups, group actions and metric spaces. First, we review the formalism of pseudogroups, which is well adapted to stating the alternative of Tarski, according to which a pseudogroup without invariant mean give ..."
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This is an expostion of various aspects of amenability and paradoxical decompositions for groups, group actions and metric spaces. First, we review the formalism of pseudogroups, which is well adapted to stating the alternative of Tarski, according to which a pseudogroup without invariant mean
Combinatorics of Delaunay polytopes of the isodual lattice Q 10
"... The results of [9] are generalized and simplified for code lattices. As an example, the code lattice Q 10 , mentioned and named in the paper [6], is considered. Q 10 has two symmetric Delaunay polytopes P 5 , P 3 and an asymmetric P 0 5 , and is generated by P 5 . P 5 is a symmetrization of the cu ..."
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Cited by 1 (1 self)
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of the cut polytope PCut 5 , i.e. it is the convex hull of all cuts and their complements in the complete graph K 5 . The cuts and their complements are all circuits of the regular matroid R 10 [12]. Besides P 5 is the convex hull of the unique 10dimensional closed odd system of 16 pairs of opposite vectors
Lectures on Geometric Group Theory
"... The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth, Tits ’ ..."
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Cited by 3 (1 self)
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The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth, Tits
1. Integrated Weed Management (IWM) in Unpuddled Direct Seeded Rice (DSR). Pijush Mukherjee1, Swapan
"... grown as rainfed transplanted crop during rainy season. However, aberrant climatic behaviour causing late onset, early termination of monsoon and heavy down pour followed by long dry spell exposed the crop on moisture stress condition at different growth stages during past several years. This in tur ..."
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in which Sesbania rostrata grown in inter row spaces of paired row rice having the spacing of 15cm within the pair and 30 cm between the pairs was killed by 2,4D at 25 days after sowing (DAS). Dried Sesbania was incorporated with the
Ramsey Theory
, 2011
"... These are the notes based on the course on Ramsey Theory taught at Universität Hamburg in Summer 2011. The lecture was based on the textbook “Ramsey theory” of Graham, Rothschild, and Spencer [44]. In fact, large part of the material is taken from that book. ..."
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These are the notes based on the course on Ramsey Theory taught at Universität Hamburg in Summer 2011. The lecture was based on the textbook “Ramsey theory” of Graham, Rothschild, and Spencer [44]. In fact, large part of the material is taken from that book.
& Mathematical Statistics
"... • Students may take any combination of lectures that is allowed by the timetable. The examination timetable corresponds to the lecture timetable and it is therefore not possible to take two courses for examination that are lectured in the same timetable slot. There is no requirement that students st ..."
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• Students may take any combination of lectures that is allowed by the timetable. The examination timetable corresponds to the lecture timetable and it is therefore not possible to take two courses for examination that are lectured in the same timetable slot. There is no requirement that students study only courses offered by one Department. • The code in parentheses after each course name indicates the term of the course (M: Michaelmas; L: Lent; E: Easter), and the number of lectures in the course. Unless indicated otherwise, a 16 lecture course is equivalent to 2 credit units, while a 24 lecture course is equivalent to 3 credit units. Please note that certain courses are nonexaminable. Some of these courses may be the basis for Part III essays. • At the start of some sections there is a paragraph indicating the desirable previous knowledge for courses in that section. On one hand, such paragraphs are not exhaustive, whilst on the other, not all courses require all the prerequisite material indicated. However you are strongly recommended to read up on the material with which you are unfamiliar if you intend to take a significant number of courses from a particular section. • The courses described in this document apply only for the academic year 200910. Details for
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