Atomicity through fractal measure theory : mathematical and physical fundamentals with applications /: mathematical and physical fundamentals with applications. ([2019])

• Record Type: Book
• Further Information: Note: Alina Gavriluţ, Ioan Mercheş, Maricel Agop.
• Authors: Gavriluţ, Alina; Merches, Ioan; Agop, Maricel
• Contents: Preface.- 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.
• Publisher Details: Cham : Springer
• Publication Date: 2019
• Copyright Date: 2019
• Extent: 1 online resource
• Subjects: 530.12; Quantum theory -- Mathematical models; Fractals; Atoms; Electronic books
• Languages: English
• ISBNs: 9783030295936; 3030295931
• Related ISBNs: 9783030295929
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed November 4, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.