{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"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":18,"n_cols":5,"rows_kept":18,"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],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[11,2,11,3],[12,2,12,3],[16,2,16,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910829049503321"]
[null,null,"Autore",null,"Thomson Brian S. <1941->"]
[null,null,"Titolo",null,"Derivates of interval functions / / Brian S. Thomson"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1991"]
[{"$nulls":4},"©1991"]
[null,null,"ISBN",null,"1-4704-0878-3"]
[null,null,"Descrizione fisica",null,"1 online resource (106 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 93, Number 452"]
[null,null,"Disciplina",null,"515/.8"]
[null,null,"Soggetti",null,"Interval functions"]
[{"$nulls":4},"Differentiable functions"]
[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","\"September 1991, Volume 93, Number 452 (first of 3 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"1 Introduction\"\"; \"\"2 Covering relations\"\"; \"\"2.1 Basic language of covering relations\"\"; \"\"2.2 Full and fine covering\"\"; \"\"2.3 Covering lemmas\"\"; \"\"3 The variation\"\"; \"\"3.1 Variation of an intervalâ€?point function\"\"; \"\"3.2 Differential equivalence\"\"; \"\"3.3 Variational measures\"\"; \"\"3.4 Increasing sets property\"\"; \"\"3.5 Regularity properties\"\"; \"\"3.6 The upper integral\"\"; \"\"3.7 The variational measure as an integral\"\"; \"\"3.8 The fine variational measure as an integral\"\"; \"\"3.9 Differential equivalence\"\"; \"\"3.10 A density theorem\"\"; \"\"4 Derivates\"\""]
[{"$nulls":4},"\"\"4.1 Definitions of the derivates\"\"\"\"4.2 Baire class of derivates\"\"; \"\"4.3 Variational estimates\"\"; \"\"4.4 Lipschitz conditions\"\"; \"\"4.5 Exact derivatives\"\"; \"\"5 Absolute continuity and singularity\"\"; \"\"5.1 Basic Definitions\"\"; \"\"5.2 Further properties\"\"; \"\"5.3 Measure properties\"\"; \"\"5.4 A stronger orthogonality relation\"\"; \"\"5.5 Derivation properties and singularity\"\"; \"\"5.6 Characterization of singularity\"\"; \"\"5.7 Derivation properties and absolute continuity\"\"; \"\"5.8 Characterization of absolute continuity\"\"; \"\"6 Measures\"\"; \"\"6.1 Lebesgue measure\"\"; \"\"6.2 Total variation measures\"\""]