Tabla de Contenidos: “…10.4 Stability of Fixed Point Sets of Cyclic F-Contractions -- 10.5 Multivalued Mappings under Cyclic Simulation Function -- 10.6 Fixed Point Theorems under Cyclic Simulation Function -- 10.7 Stability of Fixed Point Sets under Cyclic Simulation Function -- Bibliography -- Chapter 11 Significance and Relevances of Functional Equations in Various Fields -- 11.1 Introduction -- 11.2 Application of Functional Equation in Geometry -- 11.3 Application of Functional Equation in Financial Management -- 11.4 Application of Functional Equation in Information Theory -- 11.5 Application of Functional Equation in Wireless Sensor Networks -- 11.6 Application of Rational Functional Equation -- 11.6.1 Geometrical Interpretation of Equation (11.17) -- 11.6.2 An Application of Equation (11.17) to Resistances Connected in Parallel -- 11.7 Application of RQD and RQA Functional Equations -- 11.8 Application of Other Multiplicative Inverse Functional Equations -- 11.8.1 Multiplicative Inverse Second Power Difference and Adjoint Functional Equations -- 11.8.2 Multiplicative Inverse Third Power Functional Equation -- 11.8.3 Multiplicative Inverse Fourth Power Functional Equation -- 11.8.4 Multiplicative Inverse Quintic Functional Equation -- 11.8.5 Multiplicative Inverse Functional Equation Involving Two Variables -- 11.8.6 System of Multiplicative Inverse Functional Equations with Three Variables -- 11.9 Applications of Functional Equations in Other Fields -- 11.10 Open Problems -- Bibliography -- Chapter 12 Unified-Type Nondifferentiable Second-Order Symmetric Duality Results over Arbitrary Cones -- 12.1 Introduction -- 12.2 Literature Review -- 12.3 Preliminaries and Definitions -- 12.3.1 Definition -- 12.3.2 Definition -- 12.3.3 Definition -- 12.3.4 Definition -- 12.4 Nondifferentiable Second-Order Mixed-Type Symmetric Duality Model Over Arbitrary Cones…”

Tabla de Contenidos: “…14.3 Embossing Techniques -- 14.4 The UV Casting Process -- 14.5 Injection Molding Techniques -- 14.6 The Sol-Gel Process -- 14.7 The Nano-replication Process -- 14.8 A Summary of Replication Technologies -- 15 Specifying and Testing Digital Optics -- 15.1 Fabless Lithographic Fabrication Management -- 15.2 Specifying the Fabrication Process -- 15.3 Fabrication Evaluation -- 15.4 Optical Functionality Evaluation -- 16 Digital Optics Application Pools -- 16.1 Heavy Industry -- 16.2 Defense, Security and Space -- 16.3 Clean Energy -- 16.4 Factory Automation -- 16.5 Optical Telecoms -- 16.6 Biomedical Applications -- 16.7 Entertainment and Marketing -- 16.8 Consumer Electronics -- 16.9 Summary -- 16.10 The Future of Digital Optics -- Conclusion -- Appendix A: Rigorous Theory of Diffraction -- A.1 Maxwell's Equations -- A.2 Wave Propagation and the Wave Equation -- A.3 Towards a Scalar Field Representation -- Appendix B: The Scalar Theory of Diffraction -- B.1 Full Scalar Theory -- B.2 Scalar Diffraction Models for Digital Optics -- B.3 Extended Scalar Models -- Appendix C: FFTs and DFTs in Optics -- C.1 The Fourier Transform in Optics Today -- C.2 Conditions for the Existence of the Fourier Transform -- C.3 The Complex Fourier Transform -- C.4 The Discrete Fourier Transform -- C.5 The Properties of the Fourier Transform and Examples in Optics -- C.6 Other Transforms -- Index…”

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