LEADER 05549nam 2200709 450 001 9910830251503321 005 20220609165021.0 010 $a1-280-27276-7 010 $a9786610272761 010 $a0-470-31228-9 010 $a0-471-72215-4 035 $a(CKB)111087027121374 035 $a(EBL)221331 035 $a(OCoLC)475926461 035 $a(SSID)ssj0000227841 035 $a(PQKBManifestationID)11221899 035 $a(PQKBTitleCode)TC0000227841 035 $a(PQKBWorkID)10270162 035 $a(PQKB)11463163 035 $a(MiAaPQ)EBC221331 035 $a(MiAaPQ)EBC5567044 035 $a(Au-PeEL)EBL5567044 035 $a(PPN)152533427 035 $a(EXLCZ)99111087027121374 100 $a20220308d2000 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe probabilistic method /$fNoga Alon, Joel H. Spencer 205 $aSecond edition. 210 1$aNew York :$cInterscience Publishers,$d[2000] 210 4$dİ2000 215 $a1 online resource (322 p.) 225 1 $aWiley-Interscience series in discrete mathematics and optimization 300 $a"A Wiley-Interscience publication." 311 $a0-471-65398-5 311 $a0-471-37046-0 320 $aIncludes bibliographical references (p. 283-293) and indexes. 327 $aDedication; Preface; Acknowledgments; Contents; Part I: METHODS; 1 The Basic Method; 1.1 The Probabilistic Method; 1.2 Graph Theory; 1.3 Combinatorics; 1.4 Combinatorial Number Theory; 1.5 Disjoint Pairs; 1.6 Exercises; The Probabilistic Lens: The Erdo?s-Ko-Rado Theorem; 2 Linearity of Expectation; 2.1 Basics; 2.2 Splitting Graphs; 2.3 Two Quickies; 2.4 Balancing Vectors; 2.5 Unbalancing Lights; 2.6 Without Coin Flips; 2.7 Exercises; The Probabilistic Lens: Bre?gman's Theorem; 3 Alterations; 3.1 Ramsey Numbers; 3.2 Independent Sets; 3.3 Combinatorial Geometry; 3.4 Packing; 3.5 Recoloring 327 $a3.6 Continuous Time3.7 Exercises; The Probabilistic Lens: High Girth and High Chromatic Number; 4 The Second Moment; 4.1 Basics; 4.2 Number Theory; 4.3 More Basics; 4.4 Random Graphs; 4.5 Clique Number; 4.6 Distinct Sums; 4.7 The Ro?dl Nibble; 4.8 Exercises; The Probabilistic Lens: Hamiltonian Paths; 5 The Local Lemma; 5.1 The Lemma; 5.2 Property B and Multicolored Sets of Real Numbers; 5.3 Lower Bounds for Ramsey Numbers; 5.4 A Geometric Result; 5.5 The Linear Arboricity of Graphs; 5.6 Latin Transversals; 5.7 The Algorithmic Aspect; 5.8 Exercises; The Probabilistic Lens: Directed Cycles 327 $a6 Correlation Inequalities6.1 The Four Functions Theorem of Ahlswede and Daykin; 6.2 The FKG Inequality; 6.3 Monotone Properties; 6.4 Linear Extensions of Partially Ordered Sets; 6.5 Exercises; The Probabilistic Lens: Tura?n 's Theorem; 7 Martingales and Tight Concentration; 7.1 Definitions; 7.2 Large Deviations; 7.3 Chromatic Number; 7.4 Two General Settings; 7.5 Four Illustrations; 7.6 Talagrand's Inequality; 7.7 Applications of Talagrand's Inequality; 7.8 Kim-Vu Polynomial Concentration; 7.9 Exercises; The Probabilistic Lens: Weierstrass Approximation Theorem; 8 The Poisson Paradigm 327 $a8.1 The Janson Inequalities8.2 The Proofs; 8.3 Brun's Sieve; 8.4 Large Deviations; 8.5 Counting Extensions; 8.6 Counting Representations; 8.7 Further Inequalities; 8.8 Exercises; The Probabilistic Lens: Local Coloring; 9 Pseudorandomness; 9.1 The Quadratic Residue Tournaments; 9.2 Eigenvalues and Expanders; 9.3 Quasi Random Graphs; 9.4 Exercises; The Probabilistic Lens: Random Walks; Part II: TOPICS; 10 Random Graphs; 10.1 Subgraphs; 10.2 Clique Number; 10.3 Chromatic Number; 10.4 Branching Processes; 10.5 The Giant Component; 10.6 Inside the Phase Transition; 10.7 Zero-One Laws 327 $a10.8 ExercisesThe Probabilistic Lens: Counting Subgraphs; 11 Circuit Complexity; 11.1 Preliminaries; 11.2 Random Restrictions and Bounded-Depth Circuits; 11.3 More on Bounded-Depth Circuits; 11.4 Monotone Circuits; 11.5 Formulae; 11.6 Exercises; The Probabilistic Lens: Maximal Antichains; 12 Discrepancy; 12.1 Basics; 12.2 Six Standard Deviations Suffice; 12.3 Linear and Hereditary Discrepancy; 12.4 Lower Bounds; 12.5 The Beck-Fiala Theorem; 12.6 Exercises; The Probabilistic Lens: Unbalancing Lights; 13 Geometry; 13.1 The Greatest Angle among Points in Euclidean Spaces 327 $a13.2 Empty Triangles Determined by Points in the Plane 330 $aThe leading reference on probabilistic methods in combinatorics-now expanded and updatedWhen it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on recent developments, while adding useful exercises and over 30% new material. It continues to emphasize the basic elements of the methodology, discussing in a remarkably clear and informal style both algorithmic and classical methods as well 410 0$aWiley-Interscience series in discrete mathematics and optimization. 606 $aCombinatorial analysis 606 $aProbabilities 615 0$aCombinatorial analysis. 615 0$aProbabilities. 676 $a511.6 700 $aAlon$b Noga$066369 702 $aSpencer$b Joel H. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830251503321 996 $aProbabilistic method$9924317 997 $aUNINA LEADER 03355nam 22005173 450 001 9910154664903321 005 20230808200758.0 010 $a9781681370231 010 $a1681370239 035 $a(CKB)3710000000971941 035 $a(MiAaPQ)EBC6054180 035 $a(Au-PeEL)EBL6054180 035 $a(OCoLC)966376271 035 $a(Exl-AI)6054180 035 $a(EXLCZ)993710000000971941 100 $a20210901d2016 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Sound of the One Hand $e281 Zen Koans with Answers 210 1$aNew York :$cNew York Review Books,$d2016. 210 4$dİ2016. 215 $a1 online resource (185 pages) 311 08$a9781681370224 311 08$a1681370220 327 $aBiographical Notes -- Title Page -- Copyright and More Information -- Contents -- Introduction -- The Sound of the One Hand -- Foreword -- Translator?s Note -- Part One -- The Koan on the Sound of the One Hand and the Koan on Mu -- The Way of the Inzan School -- The Way of the Takuj? School -- Part Two -- Miscellaneous Koans -- Part Three -- The One Hundred Forty-Four Koans -- 1. The Man up the Tree -- 2. The Man in the Well -- 3. Why a Monk?s Garment? -- 4. The World a Grain of Rice -- 5. The Three Gates of Master ?ry? -- 6. Where Do the Snowflakes Fall? -- 7. Round Are the Lotus Leaves -- 8. The Sound of Rain -- 9. The Three Questions of Master Tos? -- 10. The Sentence of Being and the Sentence of Nothing -- 11. Subject, Object -- 12. The Unrankable Being -- 13. A Flower in Bloom -- 14. Will IT Be Destroyed?$7Generated by AI. 330 $a"When The Sound of One Hand Clapping came out in Japan in 1916 it caused a scandal. Zen was a secretive practice, its wisdom relayed from master to novice in strictest privacy. That a handbook existed recording not only the riddling koans that are central to Zen teaching but also detailing the answers to them seemed to mark Zen as rote, not revelatory. For all that, The Sound of One Hand Clapping opens the door to Zen like no other book. Including koans that go back to the master who first brought the koanteaching method from Japan to China in the eighteenth century, this book offers, in the words of the translator, editor, and Zen initiate Yoel Hoffmann, "the clearest, most detailed, and most correct picture of Zen" that can be found. 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Wessner, editor ; Board on Science, Technology, and Economic Policy, National Research Council 205 $a1st ed. 210 $aWashington, D.C. $cNational Academy Press$d1999 215 $a1 online resource (247 p.) 300 $aDescription based upon print version of record. 311 08$a9780309060806 311 08$a030906080X 320 $aIncludes bibliographical references (p. 229-231). 327 $a""Front Matter""; ""Contents""; ""Preface""; ""Acknowledgments""; ""I INTRODUCTION""; ""Introduction""; ""II PROCEEDINGS""; ""Welcome""; ""Symposium Introduction""; ""Opening Remarks""; ""Panel 1 Offsets in Commercial and Military Aerospace: An Overview""; ""Panel 2 The Policy Context for Military Aerospace Offsets""; ""Panel 3 The Effect of Offsets, Outsourcing, and Foreign Competition on Output and Employment in the U.S. Aerospace Industry""; ""Panel 4 Offsets in the International Marketplace: An Aerospace Industry View"" 327 $a""Panel 5 Dual-Use Supplier Management and Strategic International Sourcing in Aircraft Manufacturing""""Emerging Challenges and Diverging Interests Panel 6""; ""Panel 7 The Role of the U.S. Government in Setting Offset Policy""; ""III PAPERS""; ""Offsets in Commercial and Military Aerospace: An Overview""; ""The Policy Context for Military Aerospace Offsets""; ""The Effects of Offsets, Outsourcing, and Foreign Competition on Output and Employment in the U.S. Aerospace Industry""; ""Offsets in the International Marketplace: An Aerospace Industry View"" 327 $a""Dual-Use Supplier Management and Strategic International Sourcing in Aircraft Manufacturing""""The Role of the United States Government in Setting Offset Policy""; ""IV ANNEXES""; ""Defense Industry Offset Association Position on Offset Issues""; ""Participants""; ""Selected Bibliography"" 606 $aAerospace industries$zUnited States$xCosts$vCongresses 606 $aIndustrial procurement$zUnited States$vCongresses 606 $aOffset (Accounting)$vCongresses 615 0$aAerospace industries$xCosts 615 0$aIndustrial procurement 615 0$aOffset (Accounting) 701 $aWessner$b Charles W$0857991 712 02$aNational Research Council (U.S.).$bBoard on Science, Technology, and Economic Policy. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910970038903321 996 $aTrends and challenges in aerospace offsets$94353078 997 $aUNINA