Recent Advances in Mathematics and Technology: Proceedings of the First International Conference on Technology, Engineering, and Mathematics, Kenitra, ... (Applied and Numerical Harmonic Analysis)

ANHA Series Preface
Preface
Contents
Contributors
Acronyms
Part I Mathematical Modeling
	1 The Two-Sided Gabor Quaternionic Fourier Transformand Uncertainty Principles
		1.1 Introduction
		1.2 Definition and Properties of Quaternion H
		1.3 The Two-Sided Gabor Quaternionic Fourier Transform(GQFT)
			1.3.1 Examples of the GQFT
		1.4 Properties of GQFT
		1.5 Uncertainty Principles For the GQFT
			1.5.1 Heisenberg Uncertainty Principle
			1.5.2 Logarithmic Inequality
		References
	2 Reflected Backward SDEs in a Convex Polyhedron
		2.1 Introduction
		2.2 Statement of the Problem
			2.2.1 Notations
			2.2.2 Main Definition
		2.3 Existence and Uniqueness
		References
	3 On the Energy Decay of a Nonhomogeneous Hybrid Systemof Elasticity
		3.1 Introduction
		3.2 Well-Posedness and Asymptotic Stability
		3.3 Asymptotic Expressions of Eigenfrequencies
		3.4 Riesz Basis Property
		References
Part II Advanced Mathematics for Imaging
	4 Advanced Ground Truth Multimodal Imaging Using Time Reversal (TR) Based Nonlinear Elastic Wave Spectroscopy (NEWS): Medical Imaging Trends Versus Non-destructive Testing Applications
		4.1 Introduction to Non-invasive and Non-destructive (NDT)Testing
		4.2 Memory Effects, Aging, and Nonlinear Viscoelastic Multiscale Behavior
		4.3 Multiscale Analysis and Hierarchical Structure
			4.3.1 TR-NEWS Signal Processing
		4.4 Lie Groups and Symmetries for Nonlinear Systems
			4.4.1 Symmetries for Nonlinear TR Discrete Processes
			4.4.2 Universality of Nonlinear Systems and the Associated Signal Processing
		4.5 The Systemic Gold Proportion of a Complex System: Determinism Versus Stochasticity Evaluation
			4.5.1 Multiscale Analysis and Stochastic Aspects inNDT 4.0
			4.5.2 Dynamic of Nonlinear Systems: The Elementary Stochastic Cell of the Complexity
			4.5.3 Multiscality of Complex Systems: The Elementary Determinism Pattern of the Complexity
		4.6 Determinism Versus Stochasticity: A Pragmatic Approach for Engineering Organization\'s Strategies
			4.6.1 Excitation and Responses of Hierarchically Multiscale Complex Systems
			4.6.2 Mutability, Tunability, Optimality, Evolvability Coming from the Nano-scale Science
			4.6.3 Vulnerability of Stochastic Data and Cascade of Uncertainty
			4.6.4 Multilevel Approach in Social and Epidemiological Sciences
		4.7 Conclusion
		References
	5 A Geometrically Constrained Manifold Embedding for an Extrinsic Gaussian Process
		5.1 Introduction
		5.2 Notations and Background
			5.2.1 Curve Representation and Shape Space
			5.2.2 Geodesics in Shape Space, Exponential Map, and Parallel Transport
		5.3 The Geometric Constraints on the Embedded Manifold
			5.3.1 Local Solutions as Eigenfunctions of the Covariance Operator
			5.3.2 Global Solution as a Random Field
			5.3.3 Numerical Solution
		5.4 Numerical Examples
		References
	6 Numerical Study of SIF for a Crack in P265GH Steel by XFEM
		6.1 Introduction
		6.2 FEM Methodology
			6.2.1 Local Approach: Stress Intensity Factor
			6.2.2 Global Approach G-Theta Method (Gθ)
			6.2.3 Numerical Calculation of the Stress IntensityFactor (K)
			6.2.4 Geometry
			6.2.5 Meshing of the CT Specimen
		6.3 XFEM Methodology
			6.3.1 Mathematical Formulation of XFEM
			6.3.2 Numerical Integration
			6.3.3 Crack Meshing
			6.3.4 Enrichment and Level Sets
		6.4 Results and Discussion
			6.4.1 Calculation of Stress Intensity Factor (K)
			6.4.2 Comparison of CPU Times of Numerical Methods
			6.4.3 Stress Concentration Coefficient Kt
		6.5 Conclusion and Perspective
		References
Part III Computer Sciences and Smart Technologies
	7 Hardware Acceleration of SVM Training for Real-Time Embedded Systems: Overview
		7.1 Introduction
		7.2 Research Works
			7.2.1 Accelerating SVM Training with GPU
			7.2.2 Accelerating SVM Training with FPGA
		7.3 GPU vs FPGA Performance Comparison
		7.4 Conclusion and Perspectives
		References
	8 Integrating an Intelligent Tutoring System into an Adaptive E-Learning Process
		8.1 Introduction
		8.2 Limitations of a Classical E-Learning
		8.3 Intelligent Tutoring System
			8.3.1 Definition
			8.3.2 Architecture
			8.3.3 Application of ITS
		8.4 Related Work
			8.4.1 Implicit Strategies for Intelligent Tutoring Systems
			8.4.2 Explicit Strategies for Intelligent Tutoring Systems
		8.5 Model of Smart Tutoring
			8.5.1 Proposed Approach
		8.6 Smart Tutoring System: Developed Platform
			8.6.1 The Context and Proposed Solution
			8.6.2 Results
		8.7 Conclusion and Perspectives
		References
	9 NDN vs TCP/IP: Which One Is the Best Suitable for Connected Vehicles?
		9.1 Introduction
		9.2 Limitations of the Current Internet (TCP/IP)
		9.3 Presentation of Named Data Networking (NDN)
			9.3.1 NDN System Architecture
			9.3.2 Forwarding Process
		9.4 Comparative Study
		9.5 Conclusion
		References
	10 Predictive Analysis for Diabetes Using Big Data Classification
		10.1 Introduction
		10.2 Big Data in Healthcare
			10.2.1 Existing Technologies
			10.2.2 Classification Data
		10.3 Result and Discussion
		10.4 Conclusion
		References
Index
Applied and Numerical Harmonic Analysis (97 volumes)