LEADER 06600nam 22004933 450 001 9910984650403321 005 20240710080302.0 010 $a9781774699706 010 $a1774699702 035 $a(MiAaPQ)EBC31520768 035 $a(Au-PeEL)EBL31520768 035 $a(CKB)32691715300041 035 $a(Exl-AI)31520768 035 $a(OCoLC)1446133445 035 $a(EXLCZ)9932691715300041 100 $a20240710d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFunctional Calculus 205 $a1st ed. 210 1$aBurlington :$cArcler Education Inc,$d2024. 210 4$dİ2024. 215 $a1 online resource (434 pages) 311 08$a9781774698327 311 08$a1774698323 327 $aCover -- HalfTitle Page -- Title Page -- Copyright Page -- Declaration -- Declaration -- About the Editor -- Table of Contents -- List of Contributors -- List of Abbreviations -- Preface -- Chapter 1: Introduction -- Key Methods in Functional Calculus -- Applications and Future Directions of Functional Calculus -- References -- Chapter 2: Centrality and Shortest Path Length Measures for the Functional Analysis of Urban Drainage Networks -- Abstract -- Introduction -- Materials and Methods -- Results and Discussion -- Summary and Conclusions -- Supplementary Information -- Abbreviations -- Acknowledgements -- Authors' Contributions -- Funding -- References -- Chapter 3: Metasurface Holographic Image Projection Based on Mathematical Properties of Fourier Transform -- Abstract -- Introduction -- Methods -- Results and Discussion -- Conclusions -- Supplementary Information -- References -- Authors' Contributions -- Funding -- Competing Interests -- References -- Chapter 4: Fractional-Calculus-Based Control Scheme for Dynamical Systems With Input Uncertainty -- Abstract -- Introduction -- Fractional-calculus Preliminaries -- System Description and Problem Statement -- Design of Fractional Sliding Active Control Scheme -- Computer Simulations -- Conclusions -- References -- Chapter 5: Reservoir Reliability as Affected by Climate Change and Strategies for Adaptation -- Abstract -- Introduction -- Materials and Methods -- Results -- Discussion -- Conclusions -- Author Contributions -- Acknowledgments -- References -- Chapter 6: A Shotgun Approach to Explore the Bacterial Diversity and a Brief Insight into the Glycoside Hydrolases of Samiti Lake -- Abstract -- Background -- Materials and Method -- Results -- Discussion -- Conclusion -- Abbreviations -- Acknowledgements -- Authors' Contributions -- Funding -- References. 327 $aChapter 7: In Silico Comparative Structural and Functional analysis of Arsenite Methyltransferase from Bacteria, Fungi, Fishes, B -- Background -- Materials and Methods -- Result -- Discussion -- Conclusion -- Abbreviations -- Acknowledgements -- Authors' Contributions -- References -- Chapter 8: Rice Improvement Through Genome-Based Functional Analysis and Molecular Breeding in India -- Abstract -- Introduction -- Review -- Conclusions -- Acknowledgements -- Authors' Contributions -- References -- Chapter 9: Network and Functional Analyses of Differentially Expressed Genes in Gastric Cancer Provide New Biomarkers Associated -- Abstract -- Background -- Results -- Discussion -- Conclusion -- Methods -- Abbreviations -- References -- Chapter 10: An Image Segmentation Method Based on Improved Regularized Level Set Model -- Abstract -- Introduction -- Related Work -- Proposed Method -- Experimental Results -- Conclusion -- Author Contributions -- Funding -- References -- Chapter 11: Reinforcement Learning-Aided Channel Estimator in Time-Varying MIMO Systems -- Abstract -- Introduction -- Preliminaries -- Proposed Optimal Policy -- Further Performance Improvement -- Simulation Results -- Conclusions -- Author Contributions -- Funding -- References -- Chapter 12: A Computational Approach to Hand Pose Recognition in Early Modern Paintings -- Abstract -- Introduction -- Materials and Methods -- Results -- Discussion -- Author Contributions -- Acknowledgments -- References -- Chapter 13: Fog Computing Network Security Based on Resources Management -- Abstract -- Introduction -- Related Work -- Proposed Access Control Scheme -- Performance Evaluation -- Conclusion -- Methods/experimental -- Abbreviations -- Acknowledgments -- Author Contributions -- Funding -- References -- Chapter 14: Calculus of Variations on Time Scales: Applications to Economic Models. 327 $aAbstract -- Introduction -- Time Scales -- The 'cake-eating' Problem -- The Household Problem -- Conclusions -- Acknowledgements -- Authors' Contributions -- References -- Chapter 15: Local Fractional System for Economic Order Quantity Using Entropy Solution -- Abstract -- Introduction -- Processing -- Results -- Examples -- Discussion -- Acknowledgements -- Authors' Contributions -- References -- Chapter 16: A New Model of Economic Order Quantity Associated with a Generalized Conformable Differential-Difference Operator -- Abstract -- Introduction -- Preparing -- Results -- Acknowledgements -- Authors' Contributions -- Funding -- References -- Index -- Backcover. 330 $aThis book explores the principles, applications, and future prospects of functional calculus, a mathematical framework extending traditional calculus to functions of operators and complex entities. It is a comprehensive resource for students, researchers, and practitioners with a foundational understanding of calculus, interested in its applications across various fields. Functional calculus is applied in physics, engineering, biology, medical sciences, data science, machine learning, and artificial intelligence, providing tools for modeling, optimization, and innovation within complex systems. The book covers dynamic systems, quantum mechanics, signal processing, gene expression, and data analysis, highlighting the relevance of functional calculus in solving contemporary challenges. It also discusses the integration of functional analysis with computational methods, offering insights into potential discoveries and innovations.$7Generated by AI. 606 $aFunctional analysis$7Generated by AI 606 $aCalculus$7Generated by AI 615 0$aFunctional analysis 615 0$aCalculus 700 $aMoreira$b Olga$01793576 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910984650403321 996 $aFunctional Calculus$94333536 997 $aUNINA