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Ramsey theory: Frank P. Ramsey, Mathematics, Pigeonhole Principle, Ramsey`s Theorem, Theorem on Friends and Strangers, Van der Waerden`s Theorem, Arithmetic Progression, Hales?Jewett Theorem

2010 y.
Publisher: —
Description: High Quality Content by WIKIPEDIA articles! Ramsey theory, named after Frank P. Ramsey, is a branch of mathematics that studies the conditions under which order must appear. Problems in Ramsey theory typically ask a question of the form: `how many elements of some structure must there be to guarantee that a particular property will hold?` Suppose, for example, that we know that n pigeons have been housed in m pigeonholes. How big must n be before we can be sure that at least one pigeonhole houses at least two pigeons? The answer is the pigeonhole principle: if n >, m, then at least one pigeonhole will have at least two pigeons in it. Ramsey`s theory generalizes this principle as explained below. A typical result in Ramsey theory starts with some mathematical structure that is then cut into pieces. How big must the original structure be in order to ensure that at least one of the pieces has a given interesting property? [detailed...]

ISBN: 6130343663
Book size: —; Page extent: 100.

 

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Ramsey`s theorem: Combinatorics, Complete Graph, Frank P. Ramsey, Ramsey Theory, Pigeonhole Principle, Without Loss of Generality, Double Counting, Probabilistic Method, Independent Set

2010 y.
Publisher: —
Description: High Quality Content by WIKIPEDIA articles! In combinatorics, Ramsey`s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple graph in which an edge connects every pair of vertices), one will find monochromatic complete subgraphs. For 2 colours, Ramsey`s theorem states that for any pair of positive integers (r,s), there exists a least positive integer R(r,s) such that for any complete graph on R(r,s) vertices, whose edges are coloured red or blue, there exists either a complete subgraph on r vertices which is entirely blue, or a complete subgraph on s vertices which is entirely red. Here R(r,s) signifies an integer that depends on both r and s. It is understood to represent the smallest integer for which the theorem holds. [detailed...]

ISBN: 6130343825
Book size: —; Page extent: 80.

 

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Ramsey`s theorem: Ramsey Theory, Combinatorics, Complete Graph, Graph, Frank P. Ramsey, Pigeonhole Principle, Theorem on Friends and Strangers, Double Counting, Probabilistic Method

2010 y.
Publisher: —
Description: High Quality Content by WIKIPEDIA articles! In combinatorics, Ramsey`s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple graph in which an edge connects every pair of vertices), one will find monochromatic complete subgraphs. For 2 colours, Ramsey`s theorem states that for any pair of positive integers (r,s), there exists a least positive integer R(r,s) such that for any complete graph on R(r,s) vertices, whose edges are coloured red or blue, there exists either a complete subgraph on r vertices which is entirely blue, or a complete subgraph on s vertices which is entirely red. Here R(r,s) signifies an integer that depends on both r and s. It is understood to represent the smallest integer for which the theorem holds. [detailed...]

ISBN: 6130344139
Book size: —; Page extent: 68.

 

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Wieler
RanVan - Der bose Zwilling

2007 y.
Publisher: —
Description: - [detailed...]

ISBN: 978-3-88619-992-1
Book size: —; Page extent: 200.

 

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Bobbie Kalman
Ranas Y Otros Anfibios/ Frogs and Other Amphibians (Que Tipo De Animal Es?/ What Type of Animal Is It?)

2007 y.
Publisher: —
Description: - [detailed...]

ISBN: 0778788733
Book size: —; Page extent: 32.

 

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Carl Corey
Rancher: Photographs of the American West

2007 y.
Publisher: Bunker Hill Publishing
Description: Rancher is a photographic tribute to the people and landscape of the American West. Rancher captures the soil and soul of ranching people, their culture and emotions, their land. This book offers an opportunity to see what ranchers do, an opportunity for strangers to look beyond the theme-park West of honky-tonk songs and colored straw hats to the reality of worn boots, stained felt headgear, and of the people`s tenacity. [detailed...]

ISBN: 1593730586
Book size: —; Page extent: 112.

 

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James McCann
Rancour (The Rancour Chronicles)

2009 y.
Publisher: —
Description: Alix of Fillmore High is depressed about the prospect of finding a date for the prom. Boys who understand her — or whom she understands — are few and far between. But soon Alix’s life takes a turn that makes finding a prom date the least of her worries. She finds herself in the middle of a feud that’s been going on for a millennium. The combatants? A vampire and a werewolf! Werewolf Rancour has spent centuries trying to rid the world of vampires, while vampire Shay has been there to thwart his efforts at every turn. Alix gets more deeply involved when she learns that she was Rancour’s wife in a previous life. As the bodies continue to pile up, Rancour and Shay find themselves forced into an alliance by a new enemy stalking them. Author James McCann expertly blends the typical concerns of teens — love, football, parties, fitting in, racial tensions — with a chilling story of the supernatural. [detailed...]

ISBN: 1897476116
Book size: —; Page extent: 224.

 

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Rand McNally 2002 Commercial Atlas &, Marketing Guide (RAND MCNALLY COMMERCIAL ATLAS AND MARKETING GUIDE)

— y.
Publisher: —
Description: — [detailed...]

ISBN: 0528853244
Book size: —; Page extent: —.

 

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Rand McNally 2005 Commercial Atlas &, Marketing Guide (Rand Mcnally Commercial Atlas and Marketing Guide)

2005 y.
Publisher: —
Description: Book DescriptionRand McNally`s `big book` is the first place to look for up-to-date business planning data. The 2004 Commercial Atlas &, Marketing Guide contains population, economic, and geographic data for more than 120,000 US Places, complete with large-scale, detailed maps that are thoroughly indexed for easy cross-referencing. Thematic maps complement the raw data listings, which cover every angle of geographical marketing that you could need. Features include: 2000 census information,2004 population estimates, and 2009 population projections Latest estimations on population for the US, states, counties, cities, MSAs, CBSAs, RMAs, trading areas, and ZIP Code Service areas Data from 1997 Censuses of Retail and Wholesale Tradesas well as Manufacturing Information on income, buying power, and sales Mileage and driving time information Information on automobile registrations Military, higher education, and agricultural data No matter what… [detailed...]

ISBN: 0528934651
Book size: —; Page extent: —.

 

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Rand McNally 2006 Commercial Atlas &, Marketing Guide (Rand Mcnally Commercial Atlas and Marketing Guide)

2006 y.
Publisher: —
Description: Updated for 2006! The 2006 Commercial Atlas &, Marketing Guide is an excellent resource for up-to-date business planning data and is formatted into two easy-to-use volumes. Inside users will find detailed maps with the latest geographic data for more than 123,000 places in the United States, including: Population data Economic data Thematic maps Detailed index [detailed...]

ISBN: 0528935178
Book size: —; Page extent: —.

 

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Rand McNally 2008 Commercial Atlas &, Marketing Guide (Rand Mcnally Commercial Atlas and Marketing Guide)

2007 y.
Publisher: —
Description: - [detailed...]

ISBN: 0528941933
Book size: —; Page extent: —.

 

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Rand McNally 2008 The Ultimate Nascar Road Trip Guide (Ultimate NASCAR Road Trip Guide)

2007 y.
Publisher: —
Description: - [detailed...]

ISBN: 0528941720
Book size: —; Page extent: 384.

 

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Rand McNally
Rand McNally Connecticut Rhode Island: Highways &, Interstates (Rand McNally Folded Map: States)

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0528854992
Book size: —; Page extent: —.

 

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Rand McNally
Rand McNally Jacksonville, Florida: Easy Finder Local Street Detail

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0528956191
Book size: —; Page extent: 1.

 

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Rand McNally
Rand McNally Motor Carriers` Road Atlas 2006 (Rand Mcnally Motor Carriers` Road Atlas)

2005 y.
Publisher: —
Description: Book DescriptionWith more than 5,100 map updates?including new roads and interstate exits?you can count on America`s #1 trucking atlas for the most comprehensive highway and industry information available. Features include: Over 500 changes to low clearance, weigh station, and restricted route listings Updated 22-page mileage directory with more than 40,000 city-to-city, route-specific mileages Coverage of state-designated truck routes as well as national truck network routes Updated coverage of hazardous materials regulations Web and hotline resources for industry-specific information including revised road construction and conditions State and provincial permit agency chart with phone numbers and websites Coverage: United States, Canada, and Mexico 208 pages, 15.375` x 11` [detailed...]

ISBN: 0528900714
Book size: —; Page extent: 158.

 

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Rand McNally
Rand McNally Youngstown, Ohio Easyfinder

2009 y.
Publisher: —
Description: - [detailed...]

ISBN: 052887280X
Book size: —; Page extent: —.

 

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Rand Mcnally Atlantic Canada/de L`atlantique (Rand McNally Folded Map: Cities)

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0886403650
Book size: —; Page extent: —.

 

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Rand Mcnally Montana &, Wyoming (Rand McNally Easyfinder)

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0528856138
Book size: —; Page extent: —.

 

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Rand Mcnally Richmond &, Vicinity, Virginia: Local Street Detail (Rand McNally Folded Map: Cities)

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0528994859
Book size: —; Page extent: —.

 

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Rand Mcnally Sarasota, Florida (Rand McNally Easyfinder)

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0528854399
Book size: —; Page extent: —.

 

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Rand McNally
Rand Mcnally St. Charles/West Co Mo

2009 y.
Publisher: —
Description: - [detailed...]

ISBN: 052887523X
Book size: —; Page extent: —.

 

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Rand Mcnally St. Petersburg, Florida (Rand McNally Easyfinder)

2004 y.
Publisher: —
Description: — [detailed...]

ISBN: 0528854852
Book size: —; Page extent: —.

 

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Rand McNally
Rand Mcnally Wichita Easyfinder

2009 y.
Publisher: —
Description: - [detailed...]

ISBN: 0528868187
Book size: —; Page extent: —.

 

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Willis H. Ware
Rand and the Information Evolution:: A History in Essays and Vignettes

2008 y.
Publisher: —
Description: - [detailed...]

ISBN: 083304513X
Book size: —; Page extent: 260.

 

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Stephen Burt
Randall Jarrell and His Age

2003 y.
Publisher: —
Description: Book Description This book examines all of Jarrell`s work, incorporating new research such as previously undiscovered essays and poems. Burt considers both his aesthetic choices and their social contexts, exploring the ways in which Jarrell`s efforts and achievements encompassed the concerns of his time, from teen culture to the Cuban Missile Crisis. He also situates the poet-critic among his peers, including Bishop and Arendt. [detailed...]

ISBN: 0231125941
Book size: —; Page extent: 320.

 

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Stephen Burt
Randall Jarrell on W. H. Auden (A Columbia University Publication)

2005 y.
Publisher: —
Description: Book Description Jarrell`s witty, pointed, and long-lost lectures trace the evolution of Auden`s style from the late 1920s to the early 1950s and examine the ideas and contexts that animated his poetry, including psychoanalysis, leftist politics, and Christian theology. Delivered at Princeton University in 1952, these six lectures offer new insights into Auden`s poetry, particularly his long poems, and Jarrell`s own work as critic and poet. [detailed...]

ISBN: 0231130783
Book size: —; Page extent: 200.

 

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Randolph Caldecott
Randolph Caldecott`s Picture Books (Huntington Library Classics)

2007 y.
Publisher: —
Description: - [detailed...]

ISBN: 0087328223
Book size: —; Page extent: 236.

 

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George K. Ilsley
Random Acts of Hatred

2004 y.
Publisher: —
Description: Book Description In these raw, uncompromising stories, author George K. Ilsley explores the thin line between love and hate, and the outer parameters of desire that can both heal and destroy. Random Acts of Hatred infiltrates the dark confines of decidedly queer sensibilities, in which young men are undone by self-loathing and the powers-that-be, begging the question: What happens when people know they are hated? And yet in between the primal fantasies and bitter ironies are images of humor and light: the wayward families, the unspoken gestures and the faces in the -mirror-of posers and dreamers, saints and demons. Both gay and straight, they suggest a new definition of masculine power as a field with two poles, dissonant and equal at thesame time. Evocative of Dennis Cooper and David Wojnarowicz, Random Acts of Hatred collects the fragments of a disintegrated generation, numbed yet empowered by their varied, inexplicable desires. Praise for … [detailed...]

ISBN: 1551521520
Book size: —; Page extent: 176.

 

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Danny Scheinmann
Random Acts of Heroic Love

2008 y.
Publisher: Black Swan
Description: 1917. Moritz Daniecki has survived fighting in the Great War. But at what cost? Abandoned in the Siberian wilderness, he is determined to return to his beloved Lotte, the memory of whose single kiss has sustained him throughout the war. What lies before him is a terrifying journey over the Russian Steppes. If he ever makes it, will she still be waiting? 1992. Leo Deakin wakes up in hospital somewhere in South America. His girlfriend Eleni is dead and Leo doesn`t know where he is or how she died. He blames himself for the tragedy and is sucked into a spiral of despair. But Leo is about to discover something that will change his life for ever. In his remarkable debut, Danny Scheinmann paints a dramatic portrait of two men sustaining themselves through the memory of love, two men whose hidden connections are revealed in a stunning climax that lives long in the heart. Формат: 12,5 см x 20 см. [detailed...]

ISBN: 978-0-552-77422-2
Book size: —; Page extent: 432.

 

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Random Demands, Travel Times, and Water Quality in Deadends: Awwarf Report 90963f (Awwa Research Foundation Reports)

2007 y.
Publisher: —
Description: - [detailed...]

ISBN: 1843398699
Book size: —; Page extent: 502.

 

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Ludwig Arnold
Random Dynamical Systems (Springer Monographs in Mathematics)

2003 y.
Publisher: Springer
Description: This book is the first systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differential equations. The basic mulitplicative ergodic theorem is presented and provides a random substitute for linear algebra. On its basis random invariant manifolds are constructed, systems are simplified by smooth random coordinate transformations (random normal forms), and qualitative changes in families of random systems (random bifurcation theory) are studied. Numerous instructive examples are treated analytically or numerically. The main intention, however, is to present a reliable and rather complete source of reference which lays the foundation for future work and applications. [detailed...]

ISBN: 3540637583
Book size: —; Page extent: 586.

 

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