{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":41,"n_cols":5,"rows_kept":41,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[13,2,13,3],[14,2,14,3],[17,2,17,3],[19,2,19,3],[19,4,19,5],[20,2,20,3],[20,4,20,5],[21,2,21,3],[21,4,21,5],[22,2,22,3],[23,2,23,3],[28,2,28,3],[29,2,29,3],[30,2,30,3],[31,2,31,3],[32,2,32,3],[35,2,35,3],[36,2,36,3],[39,2,39,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910729894703321"]
[null,null,"Autore",null,"Riposo Julien"]
[null,null,"Titolo",null,"Some Fundamentals of Mathematics of Blockchain / / by Julien Riposo"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023"]
[null,null,"ISBN",null,"3-031-31323-2"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (155 pages)"]
[null,null,"Disciplina",null,"005.74015113"]
[null,null,"Soggetti",null,"Mathematics"]
[{"$nulls":4},"Economics"]
[{"$nulls":4},"Graph theory"]
[{"$nulls":4},"General Mathematics"]
[{"$nulls":4},"Graph Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"I. Blockchain and the Underlying Mathematics -- II. Mathematical Settings of the Blockchain -- III. Digital Signature -- IV. Blockchain Contributors: the Network of Users -- V. Halving and Cycles Theorem -- VI. On Improving the Merkle Trees: the ����-Trees -- VII. Entropy of Peer-to-Peer Network -- VIII. Applications: Selection of Research Studies -- Conclusion -- References -- Index.-."]
[null,null,null,"Sommario/riassunto","This book provides a foundation for the mathematics of blockchain. It is inspired by a general analysis and synthesis of the current knowledge of blockchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book. First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tree, nonce, Proof-of-Work. Connections with elliptic curves and cryptographic signatures are made. Second, the book ties this with a Graph and Matrix Theories approach and models the peer-to-peer relationship through the Bitcoin Network. Third, it is proposed further modelling, notably around halving, optimal storing, or diffusion of information, which are consequences of the mathematical foundation. The notion of Entropy of Privacy and the Particles model are introduced. Finally, the mathematical statements therein are proven and essential reminders can be found before each section, so the content can be accessible from a graduate level."]
[null,"2.","Record Nr.",null,"UNINA9910965116703321"]
[null,null,"Autore",null,"Stearns Peter N."]
[null,null,"Titolo",null,"World history : the basics / / Peter N. Stearns"]
[null,null,"Pubbl/distr/stampa",null,"London ; ; New York : , : Routledge, , 2011"]
[null,null,"ISBN",null,"1-136-88816-0"]
[{"$nulls":4},"1-136-88817-9"]
[{"$nulls":4},"1-283-04369-6"]
[{"$nulls":4},"9786613043696"]
[{"$nulls":4},"0-203-83994-3"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (209 p.)"]
[null,null,"Collana",null,"Basics"]
[null,null,"Disciplina",null,"909"]
[null,null,"Soggetti",null,"World history"]
[{"$nulls":4},"History - Philosophy"]
[{"$nulls":4},"History - Study and teaching"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Introduction : what and why is world history? -- A world history skeleton -- Habits of mind in world history -- Managing time : choosing and evaluating world history periods -- Managing space : world history regions and civilizations -- Contacts and the structure of world history -- Topics in world history -- Disputes in world history -- World history in the contemporary era."]
[null,null,null,"Sommario/riassunto","World History has rapidly grown to become one of the most popular and talked about approaches to the study of history. World History: The Basics introduces this fast-growing field and addresses key questions such as:What is world history?How do we study a subject with such a broad geographic and chronological range?Why has world history been controversial?Written by one of the founders of the field and addressing all of the major issues including time, place, civilizations, contact, themes and mo"]