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1Markov fields over countable partially ordered sets

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“Markov fields over countable partially ordered sets” Metadata:

  • Title: ➤  Markov fields over countable partially ordered sets
  • Author:
  • Language: English
  • Number of Pages: Median: 100
  • Publisher: American Mathematical Society
  • Publish Date:
  • Publish Location: Providence, R.I
  • Dewey Decimal Classification: 519.2510 s
  • Library of Congress Classification: QA-0274.45000000.A57 no. 537QA-0003.00000000.A57 no. 537

“Markov fields over countable partially ordered sets” Subjects and Themes:

Edition Identifiers:

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Access and General Info:

  • First Year Published: 1994
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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2On the shape of a pure O-sequence

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“On the shape of a pure O-sequence” Metadata:

  • Title: ➤  On the shape of a pure O-sequence
  • Author:
  • Language: English
  • Number of Pages: Median: 78
  • Publisher: American Mathematical Society
  • Publish Date:
  • Publish Location: Providence, R.I
  • Dewey Decimal Classification: 512.44
  • Library of Congress Classification: QA-0251.30000000.O54 2011QA-0251.30000000.A57 no. 1024QA-0003.00000000.A57 no. 1024

“On the shape of a pure O-sequence” Subjects and Themes:

Edition Identifiers:

Book Classifications

Access and General Info:

  • First Year Published: 2011
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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3Combinatorics And Partially Ordered Sets

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“Combinatorics And Partially Ordered Sets” Metadata:

  • Title: ➤  Combinatorics And Partially Ordered Sets
  • Author:
  • Language: English
  • Number of Pages: Median: 326
  • Publisher: ➤  The Johns Hopkins University Press
  • Publish Date:
  • Publish Location: Baltimore, Maryland, USA
  • Dewey Decimal Classification: 511.6
  • Library of Congress Classification: QA-0164.00000000.T76 1992

“Combinatorics And Partially Ordered Sets” Subjects and Themes:

Edition Identifiers:

Book Classifications

Access and General Info:

  • First Year Published: 1992
  • Is Full Text Available: No
  • Is The Book Public: No
  • Access Status: No_ebook

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    4Mathematical tools for data mining

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    “Mathematical tools for data mining” Metadata:

    • Title: ➤  Mathematical tools for data mining
    • Author:
    • Language: English
    • Number of Pages: Median: 831
    • Publisher: ➤  Springer - Springer London, Limited
    • Publish Date:
    • Publish Location: London
    • Dewey Decimal Classification: 005.74
    • Library of Congress Classification: QA-0076.90000000.D343QA-0076.90000000.D343 S595 2008QA-0076.90000000.D343 S595 2014

    “Mathematical tools for data mining” Subjects and Themes:

    Edition Identifiers:

    Book Classifications

    Access and General Info:

    • First Year Published: 2008
    • Is Full Text Available: No
    • Is The Book Public: No
    • Access Status: Unclassified

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      5Basic posets

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      “Basic posets” Metadata:

      • Title: Basic posets
      • Authors:
      • Language: English
      • Number of Pages: Median: 178
      • Publisher: ➤  World Scientific Publishing Company - World Scientific Publishing Co Pte Ltd
      • Publish Date:

      “Basic posets” Subjects and Themes:

      Edition Identifiers:

      First Setence:

      "Partially ordered sets (posets) have a long history beginning with the first recognition of ordering in the integers."

      Access and General Info:

      • First Year Published: 1998
      • Is Full Text Available: No
      • Is The Book Public: No
      • Access Status: No_ebook

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      Downloads Are Not Available:

      The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.

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        6Combinatorics and Partially Ordered Sets

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        “Combinatorics and Partially Ordered Sets” Metadata:

        • Title: ➤  Combinatorics and Partially Ordered Sets
        • Author:
        • Language: English
        • Number of Pages: Median: 318
        • Publisher: ➤  The Johns Hopkins University Press - Johns Hopkins University Press
        • Publish Date:
        • Publish Location: Baltimore
        • Dewey Decimal Classification: 511.6
        • Library of Congress Classification: QA-0164.00000000.T76 1992

        “Combinatorics and Partially Ordered Sets” Subjects and Themes:

        Edition Identifiers:

        Book Classifications

        First Setence:

        "Every partial order is the intersection of a family of linear orders, and the minimum number of linear orders in such a representation is the dimension."

        Access and General Info:

        • First Year Published: 1992
        • Is Full Text Available: No
        • Is The Book Public: No
        • Access Status: No_ebook

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          7Interval orders and interval graphs

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          “Interval orders and interval graphs” Metadata:

          • Title: ➤  Interval orders and interval graphs
          • Author:
          • Language: English
          • Number of Pages: Median: 215
          • Publisher: Wiley
          • Publish Date:
          • Publish Location: New York
          • Dewey Decimal Classification: 511.32
          • Library of Congress Classification: QA-0171.48500000QA-0171.48500000.F57 1985

          “Interval orders and interval graphs” Subjects and Themes:

          Edition Identifiers:

          Book Classifications

          Access and General Info:

          • First Year Published: 1985
          • Is Full Text Available: No
          • Is The Book Public: No
          • Access Status: No_ebook

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          8Topics in spatial stochastic processes

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          “Topics in spatial stochastic processes” Metadata:

          • Title: ➤  Topics in spatial stochastic processes
          • Authors: ➤  
          • Language: English
          • Number of Pages: Median: 252
          • Publisher: Springer
          • Publish Date:
          • Publish Location: Berlin - New York
          • Dewey Decimal Classification:
          • Library of Congress Classification: QA-0273.00000000.A1-274.9QA-0273.00000000.A1-274.9QA274-QA-0003.00000000.L28 no. 1802QA-0003.00000000.L28 no.1802QA-0274.40000000.L28 no. 1802

          “Topics in spatial stochastic processes” Subjects and Themes:

          Edition Identifiers:

          Book Classifications

          First Setence:

          "Birth-and-growth processes provide a large class of mathematical models for many phase change phenomena."

          Access and General Info:

          • First Year Published: 2003
          • Is Full Text Available: No
          • Is The Book Public: No
          • Access Status: Unclassified

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            9Multi-indicator Systems and Modelling in Partial Order

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            “Multi-indicator Systems and Modelling in Partial Order” Metadata:

            • Title: ➤  Multi-indicator Systems and Modelling in Partial Order
            • Authors:
            • Language: English
            • Number of Pages: Median: 437
            • Publisher: ➤  Springer New York - Springer London, Limited - Springer
            • Publish Date:
            • Dewey Decimal Classification:
            • Library of Congress Classification: QA-0171.48500000.M85 2014QH-0323.50000000

            “Multi-indicator Systems and Modelling in Partial Order” Subjects and Themes:

            Edition Identifiers:

            Book Classifications

            Access and General Info:

            • First Year Published: 2013
            • Is Full Text Available: No
            • Is The Book Public: No
            • Access Status: No_ebook

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              10Fence Methods

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              “Fence Methods” Metadata:

              • Title: Fence Methods
              • Authors:
              • Language: English
              • Number of Pages: Median: 225
              • Publisher: ➤  World Scientific Publishing Co Pte Ltd
              • Publish Date:
              • Dewey Decimal Classification:
              • Library of Congress Classification: QA-0171.48500000.J53 2015QA-0171.48500000

              “Fence Methods” Subjects and Themes:

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              Access and General Info:

              • First Year Published: 2015
              • Is Full Text Available: No
              • Is The Book Public: No
              • Access Status: No_ebook

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              11From Objects To Diagrams For Ranges Of Functors

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              “From Objects To Diagrams For Ranges Of Functors” Metadata:

              • Title: ➤  From Objects To Diagrams For Ranges Of Functors
              • Author:
              • Language: English
              • Number of Pages: Median: 170
              • Publisher: ➤  Springer - Springer London, Limited
              • Publish Date:
              • Dewey Decimal Classification:
              • Library of Congress Classification: QA-0003.00000000.L28 no.2029QA-0010.30000000.G55 2011

              “From Objects To Diagrams For Ranges Of Functors” Subjects and Themes:

              Edition Identifiers:

              Book Classifications

              Access and General Info:

              • First Year Published: 2011
              • Is Full Text Available: No
              • Is The Book Public: No
              • Access Status: No_ebook

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                12Tilting in Abelian categories and quasitilted algebras

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                “Tilting in Abelian categories and quasitilted algebras” Metadata:

                • Title: ➤  Tilting in Abelian categories and quasitilted algebras
                • Author:
                • Language: English
                • Number of Pages: Median: 88
                • Publisher: American Mathematical Society
                • Publish Date:
                • Publish Location: Providence, R.I
                • Dewey Decimal Classification: 512.4510 s
                • Library of Congress Classification: QA-0251.50000000.A57 no. 575QA-0003.00000000.A57 no. 575

                “Tilting in Abelian categories and quasitilted algebras” Subjects and Themes:

                Edition Identifiers:

                Book Classifications

                Access and General Info:

                • First Year Published: 1996
                • Is Full Text Available: No
                • Is The Book Public: No
                • Access Status: No_ebook

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                  13The poset of [kappa]-shapes and branching rules for [kappa]-Schur functions

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                  “The poset of [kappa]-shapes and branching rules for [kappa]-Schur functions” Metadata:

                  • Title: ➤  The poset of [kappa]-shapes and branching rules for [kappa]-Schur functions
                  • Author:
                  • Language: English
                  • Number of Pages: Median: 101
                  • Publisher: American Mathematical Society
                  • Publish Date:
                  • Publish Location: Providence, Rhode Island
                  • Dewey Decimal Classification: 516.35
                  • Library of Congress Classification: QA-0171.48500000.L36 2013

                  “The poset of [kappa]-shapes and branching rules for [kappa]-Schur functions” Subjects and Themes:

                  Edition Identifiers:

                  Book Classifications

                  Access and General Info:

                  • First Year Published: 2013
                  • Is Full Text Available: No
                  • Is The Book Public: No
                  • Access Status: No_ebook

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                    14Order-preserving maps and integration processes

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                    “Order-preserving maps and integration processes” Metadata:

                    • Title: ➤  Order-preserving maps and integration processes
                    • Author:
                    • Language: English
                    • Number of Pages: Median: 136
                    • Publisher: ➤  Kraus - Oxford U.P. - Princeton U.P.
                    • Publish Date:
                    • Publish Location: ➤  New York - Princeton, N.J - London
                    • Dewey Decimal Classification: 515.43
                    • Library of Congress Classification:

                    “Order-preserving maps and integration processes” Subjects and Themes:

                    Edition Identifiers:

                    Book Classifications

                    • Dewey Decimal (DDC): ➤  ❛515.43❜.

                    Access and General Info:

                    • First Year Published: 1953
                    • Is Full Text Available: No
                    • Is The Book Public: No
                    • Access Status: No_ebook

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                    15Sperner theory in partially ordered sets

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                    “Sperner theory in partially ordered sets” Metadata:

                    • Title: ➤  Sperner theory in partially ordered sets
                    • Author:
                    • Language: English
                    • Number of Pages: Median: 232
                    • Publisher: ➤  Teubner - Teubner Verlagsgesellschaft
                    • Publish Date:
                    • Publish Location: Leipzig
                    • Dewey Decimal Classification: 511.32
                    • Library of Congress Classification: QA-0171.48500000.E54 1985

                    “Sperner theory in partially ordered sets” Subjects and Themes:

                    Edition Identifiers:

                    Book Classifications

                    Access and General Info:

                    • First Year Published: 1985
                    • Is Full Text Available: No
                    • Is The Book Public: No
                    • Access Status: No_ebook

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                    16Algebraic topology of finite topological spaces and applications

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                    “Algebraic topology of finite topological spaces and applications” Metadata:

                    • Title: ➤  Algebraic topology of finite topological spaces and applications
                    • Author:
                    • Language: English
                    • Number of Pages: Median: 181
                    • Publisher: Springer
                    • Publish Date:
                    • Publish Location: New York - Heidelberg
                    • Dewey Decimal Classification:
                    • Library of Congress Classification: QA-0611.30000000.B37 2011QA-0003.00000000.L28 no.2032

                    “Algebraic topology of finite topological spaces and applications” Subjects and Themes:

                    Edition Identifiers:

                    Book Classifications

                    Access and General Info:

                    • First Year Published: 2011
                    • Is Full Text Available: No
                    • Is The Book Public: No
                    • Access Status: No_ebook

                    Online Access

                    Downloads Are Not Available:

                    The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.

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                      17Structure of partially ordered sets wih transitive automorphism groups

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                      “Structure of partially ordered sets wih transitive automorphism groups” Metadata:

                      • Title: ➤  Structure of partially ordered sets wih transitive automorphism groups
                      • Author:
                      • Language: English
                      • Number of Pages: Median: 100
                      • Publisher: American Mathematical Society
                      • Publish Date:
                      • Publish Location: Providence, R.I., USA
                      • Dewey Decimal Classification: 510 s511.32
                      • Library of Congress Classification: QA-0171.48500000.A57 no. 334QA-0003.00000000.A57 no. 334

                      “Structure of partially ordered sets wih transitive automorphism groups” Subjects and Themes:

                      Edition Identifiers:

                      Book Classifications

                      Access and General Info:

                      • First Year Published: 1985
                      • Is Full Text Available: No
                      • Is The Book Public: No
                      • Access Status: No_ebook

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                      18Abbildungsgrad und SPERNERsches Lemma

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                      “Abbildungsgrad und SPERNERsches Lemma” Metadata:

                      • Title: ➤  Abbildungsgrad und SPERNERsches Lemma
                      • Author:
                      • Language: ger
                      • Number of Pages: Median: 67
                      • Publisher: Hamburg Universität
                      • Publish Date:
                      • Publish Location: Hamburg
                      • Dewey Decimal Classification:
                      • Library of Congress Classification: QA-0171.48500000.S45 1979b

                      “Abbildungsgrad und SPERNERsches Lemma” Subjects and Themes:

                      Edition Identifiers:

                      Book Classifications

                      Access and General Info:

                      • First Year Published: 1979
                      • Is Full Text Available: No
                      • Is The Book Public: No
                      • Access Status: No_ebook

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                      19The structure of k-CS-transitive cycle-free partial orders

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                      “The structure of k-CS-transitive cycle-free partial orders” Metadata:

                      • Title: ➤  The structure of k-CS-transitive cycle-free partial orders
                      • Author:
                      • Language: English
                      • Number of Pages: Median: 166
                      • Publisher: American Mathematical Society
                      • Publish Date:
                      • Publish Location: Providence, R.I
                      • Dewey Decimal Classification: 511.33510 s
                      • Library of Congress Classification: QA-0171.48500000.A57 no. 614QA-0003.00000000.A57 no. 614

                      “The structure of k-CS-transitive cycle-free partial orders” Subjects and Themes:

                      Edition Identifiers:

                      Book Classifications

                      Access and General Info:

                      • First Year Published: 1997
                      • Is Full Text Available: No
                      • Is The Book Public: No
                      • Access Status: No_ebook

                      Online Access

                      Downloads Are Not Available:

                      The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.

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                        20A general character theory for partially ordered sets and lattices

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                        “A general character theory for partially ordered sets and lattices” Metadata:

                        • Title: ➤  A general character theory for partially ordered sets and lattices
                        • Author:
                        • Language: English
                        • Number of Pages: Median: 121
                        • Publisher: American Mathematical Society
                        • Publish Date:
                        • Publish Location: [Providence, R.I
                        • Dewey Decimal Classification: 511.33510.8 s
                        • Library of Congress Classification: QA-0003.00000000.A57 no. 122QA-0169.00000000.A57 no. 122

                        “A general character theory for partially ordered sets and lattices” Subjects and Themes:

                        Edition Identifiers:

                        Book Classifications

                        Access and General Info:

                        • First Year Published: 1972
                        • Is Full Text Available: No
                        • Is The Book Public: No
                        • Access Status: No_ebook

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                        21Algebraic and topological properties of finite partially ordered sets

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                        “Algebraic and topological properties of finite partially ordered sets” Metadata:

                        • Title: ➤  Algebraic and topological properties of finite partially ordered sets
                        • Author:
                        • Language: English
                        • Number of Pages: Median: 164
                        • Publisher: B.G. Teubner
                        • Publish Date:
                        • Publish Location: Leipzig
                        • Dewey Decimal Classification: 511.32
                        • Library of Congress Classification: QA-0171.48500000.A44 1988QA-0171.48500000.A44x 1988

                        “Algebraic and topological properties of finite partially ordered sets” Subjects and Themes:

                        Edition Identifiers:

                        Book Classifications

                        Access and General Info:

                        • First Year Published: 1988
                        • Is Full Text Available: No
                        • Is The Book Public: No
                        • Access Status: No_ebook

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                        22Sperner theory

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                        “Sperner theory” Metadata:

                        • Title: Sperner theory
                        • Author:
                        • Language: English
                        • Number of Pages: Median: 417
                        • Publisher: Cambridge University Press
                        • Publish Date:
                        • Publish Location: New York - Cambridge
                        • Dewey Decimal Classification: 511.32
                        • Library of Congress Classification: QA-0171.48500000.E537 1997

                        “Sperner theory” Subjects and Themes:

                        Edition Identifiers:

                        Book Classifications

                        Access and General Info:

                        • First Year Published: 1997
                        • Is Full Text Available: No
                        • Is The Book Public: No
                        • Access Status: Unclassified

                        Online Access

                        Downloads Are Not Available:

                        The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.

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                          23Partially ordered sets with projections and their topology

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                          “Partially ordered sets with projections and their topology” Metadata:

                          • Title: ➤  Partially ordered sets with projections and their topology
                          • Author:
                          • Language: English
                          • Number of Pages: Median: 149
                          • Publisher: ➤  Polska Akademia Nauk, Instytut Matematyczny
                          • Publish Date:
                          • Publish Location: Warszawa

                          “Partially ordered sets with projections and their topology” Subjects and Themes:

                          Edition Identifiers:

                          Access and General Info:

                          • First Year Published: 2004
                          • Is Full Text Available: No
                          • Is The Book Public: No
                          • Access Status: No_ebook

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                          24Semiorders

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                          “Semiorders” Metadata:

                          • Title: Semiorders
                          • Author:
                          • Language: English
                          • Number of Pages: Median: 187
                          • Publisher: Kluwer Academic
                          • Publish Date:
                          • Publish Location: Dordrecht - Boston
                          • Dewey Decimal Classification: 511.32
                          • Library of Congress Classification: QA-0171.48500000.P67 1997

                          “Semiorders” Subjects and Themes:

                          Edition Identifiers:

                          Book Classifications

                          Access and General Info:

                          • First Year Published: 1997
                          • Is Full Text Available: No
                          • Is The Book Public: No
                          • Access Status: No_ebook

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                          25The structure of k-CS-transitive cycle-free partial orders

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                          “The structure of k-CS-transitive cycle-free partial orders” Metadata:

                          • Title: ➤  The structure of k-CS-transitive cycle-free partial orders
                          • Author:
                          • Language: English
                          • Number of Pages: Median: 166
                          • Publisher: American Mathematical Society
                          • Publish Date:
                          • Publish Location: Providence, R.I
                          • Dewey Decimal Classification: 510 s511.33
                          • Library of Congress Classification: QA-0003.00000000.A57 no. 614QA-0003.00000000.A57 no. 614QA171QA-0171.48500000.A57 no. 614

                          “The structure of k-CS-transitive cycle-free partial orders” Subjects and Themes:

                          Edition Identifiers:

                          Book Classifications

                          Access and General Info:

                          • First Year Published: 1997
                          • Is Full Text Available: No
                          • Is The Book Public: No
                          • Access Status: No_ebook

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                          26Associahedra Tamari Lattices And Related Structures Tamari Memorial Festschrift

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                          “Associahedra Tamari Lattices And Related Structures Tamari Memorial Festschrift” Metadata:

                          • Title: ➤  Associahedra Tamari Lattices And Related Structures Tamari Memorial Festschrift
                          • Author:
                          • Publisher: Birkh User
                          • Publish Date:
                          • Dewey Decimal Classification:
                          • Library of Congress Classification: QA-0691.00000000.A87 2012

                          “Associahedra Tamari Lattices And Related Structures Tamari Memorial Festschrift” Subjects and Themes:

                          Edition Identifiers:

                          Book Classifications

                          Access and General Info:

                          • First Year Published: 2012
                          • Is Full Text Available: Yes
                          • Is The Book Public: No
                          • Access Status: Printdisabled

                          Online Access

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                            27Ordinal and relational clustering

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                            “Ordinal and relational clustering” Metadata:

                            • Title: ➤  Ordinal and relational clustering
                            • Author:
                            • Language: English
                            • Number of Pages: Median: 179
                            • Publisher: World Scientific
                            • Publish Date:
                            • Publish Location: Hackensack, NJ - Singapore
                            • Dewey Decimal Classification: 519.53
                            • Library of Congress Classification: QA-0278.00000000QA-0166.00000000.J317 2010

                            “Ordinal and relational clustering” Subjects and Themes:

                            Edition Identifiers:

                            Book Classifications

                            Access and General Info:

                            • First Year Published: 2010
                            • Is Full Text Available: No
                            • Is The Book Public: No
                            • Access Status: No_ebook

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                            28Linear representations of partially ordered sets and vector space categories

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                            “Linear representations of partially ordered sets and vector space categories” Metadata:

                            • Title: ➤  Linear representations of partially ordered sets and vector space categories
                            • Author:
                            • Language: English
                            • Number of Pages: Median: 499
                            • Publisher: ➤  Gordon and Breach Science Publishers
                            • Publish Date:
                            • Publish Location: ➤  Yverdon, Switzerland - Philadelphia, Pa
                            • Dewey Decimal Classification: 511.32
                            • Library of Congress Classification: QA-0171.48500000.S56 1992

                            “Linear representations of partially ordered sets and vector space categories” Subjects and Themes:

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                            • First Year Published: 1992
                            • Is Full Text Available: No
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                            29Partially ordered groups

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                            “Partially ordered groups” Metadata:

                            • Title: Partially ordered groups
                            • Author:
                            • Language: English
                            • Number of Pages: Median: 307
                            • Publisher: World Scientific
                            • Publish Date:
                            • Publish Location: River Edge, NJ - Singapore
                            • Dewey Decimal Classification: 511.32
                            • Library of Congress Classification: QA-0171.48500000.G57 1999

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                            • First Year Published: 1999
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                            30Selected papers of Đuro Kurepa

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                            • Title: Selected papers of Đuro Kurepa
                            • Author:
                            • Language: English
                            • Number of Pages: Median: 621
                            • Publisher: Matematički institut SANU
                            • Publish Date:
                            • Publish Location: Beograd
                            • Dewey Decimal Classification:
                            • Library of Congress Classification: QA-0003.00000000.K986 1996

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                            • First Year Published: 1996
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                            31Recent developments in algebraic and combinatorial aspects of representation theory

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                            • Title: ➤  Recent developments in algebraic and combinatorial aspects of representation theory
                            • Author: ➤  
                            • Language: English
                            • Number of Pages: Median: 210
                            • Publisher: American Mathematical Society
                            • Publish Date:
                            • Publish Location: Providence, Rhode Island
                            • Dewey Decimal Classification: 515.7223
                            • Library of Congress Classification: QA-0251.50000000.I65 2010

                            “Recent developments in algebraic and combinatorial aspects of representation theory” Subjects and Themes:

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                            • First Year Published: 2013
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                            32Abelian Groups and Representations of Finite Partially Ordered Sets (CMS Books in Mathematics)

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                            • Title: ➤  Abelian Groups and Representations of Finite Partially Ordered Sets (CMS Books in Mathematics)
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                            • Language: English
                            • Number of Pages: Median: 244
                            • Publisher: Springer
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                            • Library of Congress Classification: QA-0180.00000000.A76 2000

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                            Partially ordered set

                            strength, i.e., decreasing sets of pairs, three of the possible partial orders on the Cartesian product of two partially ordered sets are (see Fig. 4): the

                            Total order

                            starting with zero or with one). Totally ordered sets form a full subcategory of the category of partially ordered sets, with the morphisms being maps which

                            Partially ordered group

                            In abstract algebra, a partially ordered group is a group (G, +) equipped with a partial order "≤" that is translation-invariant; in other words, "≤"

                            Dilworth's theorem

                            and combinatorics, Dilworth's theorem states that, in any finite partially ordered set, the maximum size of an antichain of incomparable elements equals

                            Closure operator

                            (Y):Y\subseteq X{\text{ and }}Y{\text{ finite}}\right\}.} In the theory of partially ordered sets, which are important in theoretical computer science, closure operators

                            Directed set

                            Directed sets are a generalization of nonempty totally ordered sets. That is, all totally ordered sets are directed sets (contrast partially ordered sets, which

                            Ordered set operators

                            mathematical symbols Order theory Partially ordered set Directional symbols Polynomial-time reduction Cooley, Brandon. "Ordered Sets" (PDF) (Lecture note for:

                            Weak ordering

                            (rankings without ties) and are in turn generalized by (strictly) partially ordered sets and preorders. There are several common ways of formalizing weak

                            Dedekind cut

                            similarly created from set relations. The set of all Dedekind cuts is itself a linearly ordered set (of sets). Moreover, the set of Dedekind cuts has the

                            Order theory

                            functions between partially ordered sets having certain additional properties that are related to the ordering relations of the two sets. The most fundamental


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