LEADER 01289nam0 22003371i 450 001 RML0312964 005 20231121125752.0 010 $a8820421887 100 $a20121121d1985 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aCognitivismo e psicoterapia$fscritti di B. G. Bara...[et al.]$ga cura di Vittorio F. Guidano e Mario A. Reda 210 $aMilano $cF.Angeli $dİ1985 215 $a316 p.$d22 cm 225 | $aCollana di Psicologia$c- Milano $eCortina $v4 410 0$1001RML0329448$12001 $aCollana di Psicologia$c- Milano $eCortina $v4 606 $aPsicoterapia$xComportamento$2FIR$3RMLC422169$9I 676 $a150$9PSICOLOGIA$v21 702 1$aBara$b, Bruno G.$3RMLV200604 702 1$aReda$b, Mario Antonio$3RMLV201969 702 1$aGuidano$b, Vittorio F.$3RMLV202168 801 3$aIT$bIT-01$c20121121 850 $aIT-FR0017 899 $aBiblioteca umanistica Giorgio Aprea$bFR0017 912 $aRML0312964 950 0$aBiblioteca umanistica Giorgio Aprea$d 52CIS 14/58$e 52VM 0000834335 VM barcode:00077975. - Inventario:110 SSVM$fA $h20100618$i20121204 977 $a 52 996 $aCognitivismo e psicoterapia$9712699 997 $aUNICAS LEADER 04173nam 22005895 450 001 9910360855003321 005 20250609110101.0 010 $a3-030-29593-1 024 7 $a10.1007/978-3-030-29593-6 035 $a(CKB)4100000009758972 035 $a(DE-He213)978-3-030-29593-6 035 $a(MiAaPQ)EBC5978078 035 $a(PPN)258064803 035 $a(MiAaPQ)EBC5977959 035 $a(EXLCZ)994100000009758972 100 $a20191102d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAtomicity through Fractal Measure Theory $eMathematical and Physical Fundamentals with Applications /$fby Alina Gavrilu?, Ioan Merche?, Maricel Agop 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 184 p. 1 illus.) 311 08$a3-030-29592-3 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Short hypertopologies. A short overview -- 2. A Mathematical-physical approach on regularity in hit-and-miss hypertologies for fuzzy set multifunctions -- 3. Non-atomic set multifunctions -- 4. Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions -- 5. Atoms and pseudo-atoms for set multifunctions -- 6. Gould integrability on atoms for set multifunctions -- 7. Continuity properties and the Alexandroff theorem in Vietoris topology -- 8. Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity- 9. Atomicity via regularity for non-additive set malfunctions -- 10. Extended atomicity through non-differentiability and its physical implications -- 11. On a multifractal theory of motion in a non-differentiable space. Toward a possible multifractal theory of measure -- List of symbols -- Index. 330 $aThis book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened. 606 $aMeasure theory 606 $aQuantum theory 606 $aMathematical physics 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aMeasure theory. 615 0$aQuantum theory. 615 0$aMathematical physics. 615 14$aMeasure and Integration. 615 24$aQuantum Physics. 615 24$aMathematical Applications in the Physical Sciences. 676 $a515.42 700 $aGavrilu?$b Alina$4aut$4http://id.loc.gov/vocabulary/relators/aut$0780996 702 $aMerche?$b Ioan$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aAgop$b Maricel$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360855003321 996 $aAtomicity through Fractal Measure Theory$92510595 997 $aUNINA