Tabla de Contenidos: “…Shukla Mathematical Fuzzy Logic in the Emerging Fields of Engineering, Finance, and Computer Sciences Reprinted from: Axioms 2022, 11, 615, doi:10.3390/axioms11110615 . 1 -- Songsong Dai, Lei Du, Haifeng Song and Yingying Xu On the Composition of Overlap and Grouping Functions Reprinted from: Axioms 2021, 10, 272, doi:10.3390/axioms10040272 . 5 -- Eunsuk Yang Basic Core Fuzzy Logics and Algebraic Routley-Meyer-Style Semantics Reprinted from: Axioms 2021, 10, 273, doi:10.3390/axioms10040273 . 15 -- Yadan Jiang and Dong Qiu The Relationships among Three Kinds of Divisions of Type-1 Fuzzy Numbers Reprinted from: Axioms 2022, 11, 77, doi:10.3390/axioms11020077 31 -- Nguyen Van Thanh and Nguyen Thi Kim Lan A New Hybrid Triple Bottom Line Metrics and Fuzzy MCDM Model: Sustainable Supplier Selection in the Food-Processing Industry Reprinted from: Axioms 2022, 11, 57, doi:10.3390/axioms11020057 41 -- Chia-Nan Wang, Nhat-Luong Nhieu, Kim-Phong Tran and Yen-Hui Wang Sustainable Integrated Fuzzy Optimization for Multimodal Petroleum Supply Chain Design with Pipeline System: The Case Study of Vietnam Reprinted from: Axioms 2022, 11, 60, doi:10.3390/axioms11020060 55 -- Juan Carlos Martin, Natalia Soledad Bustamante-S ́anchez and Alessandro Indelicato Analyzing the Main Determinants for Being an Immigrant in Cuenca (Ecuador) Based on a Fuzzy Clustering Approach Reprinted from: Axioms 2022, 11, 74, doi:10.3390/axioms11020074 81 -- Duˇsan J. …”

Tabla de Contenidos: “…; 7.7 Components of the PURPLE Machine; 7.8 The PURPLE Keys; 7.9 Cribbing PURPLE: Finding the V-Stepper; 7.10 Cribbing PURPLE: Finding the C-Steppers; CHAPTER 8 STREAM CIPHERS; 8.1 Stream Ciphers; 8.2 Feedback Shift Registers; 8.3 The Algebra of Polynomials over Z(2); 8.4 The Characteristic Polynomial of a Linear Feedback Shift Register; 8.5 Properties of Maximal Length LFSR Sequences; 8.6 Linear Equivalence…”

Tabla de Contenidos: “…SPECTRAL TRANSFORMS FOR LOGIC FUNCTIONS; 2.1 Algebraic Structures for Spectral Transforms; 2.2 Fourier Series; 2.3 Bases for Systems of Boolean Functions; 2.3.1 Basis Functions; 2.3.2 Walsh Functions; 2.3.2.1 Ordering of Walsh Functions; 2.3.2.2 Properties of Walsh Functions; 2.3.2.3 Hardware Implementations of Walsh Functions; 2.3.3 Haar Functions; 2.3.3.1 Ordering of Haar Functions; 2.3.3.2 Properties of Haar Functions; 2.3.3.3 Hardware Implementation of Haar Functions; 2.3.3.4 Hardware Implementation of the Inverse Haar Transform…”

Tabla de Contenidos: “…Simple arithmetic and algebra; 1.6. Vectors and matrices; 1.7. Multiplication of vectors of matrices; 1.8. …”

Tabla de Contenidos: “…Linear Programming: Data Envelopment Analysis5.1 A Graphical Perspective on DEA; 5.2 An Algebraic Perspective on DEA; 5.3 A Spreadsheet Model for DEA; 5.4 Indexing; 5.5 Finding Reference Sets and HCUs; 5.6 Assumptions and Limitations of DEA; Summary; Exercises; Case: Branch Performance at Nashville National Bank; Branch Growth at Nashville National Bank; Assessing Branch Productivity; Branch Managers Revolt; Measuring Branches: Available Techniques; The DEA Study; 6. …”

Tabla de Contenidos: “…Front Cover; Multidimensional Signal, Image, and Video Processing and Coding; Copyright; Table of Contents; Preface; Acknowledgments; 1 Two-Dimensional Signals and Systems; 1.1 Two-Dimensional Signals; Separable Signals; Periodic Signals; General Periodicity; 2-D Discrete-Space Systems; 2-D Convolution; Properties of 2-D Convolution or Convolution Algebra; Stability in 2-D Systems; 1.2 2-D Discrete-Space Fourier Transform; Inverse 2-D Fourier Transform; Fourier Transform of 2-D or Spatial Convolution; Some Important Properties of the FT Operator; Some Useful Fourier Transform Pairs…”

Tabla de Contenidos: “…4.10.2 Linear Convection-Diffusion Equation: FTCS Scheme -- 4.10.3 First-Order Upwind Scheme for Convection-Diffusion Equation -- 4.10.4 Burgers Equation -- 4.11 Summary -- 4.12 Key Terms -- 4.13 Exercise 4 -- Chapter 5: Equations of Elliptic Type -- 5.1 Introduction -- 5.2 The Laplace Equation in Two Dimension -- 5.3 Iterative Methods for Solution of Linear Algebraic Systems -- 5.3.1 The Jacobi and the Gauss-Seidel Schemes -- 5.4 Solution of the Pentadiagonal System -- 5.4.1 Program 5.1: sor.f -- 5.5 Approximate Factorisation Schemes -- 5.5.1 Analysis of Line Gauss-Seidel Scheme for the Laplace Equation -- 5.5.2 Time-Dependent Analogy -- 5.5.3 Program 5.2: afl.f -- 5.6 Grid Generation Example -- 5.7 Body-fitted Grid Generation Using Elliptic-type Equations -- 5.7.1 Solution of the Algebraic Equations by AFI Scheme -- 5.8 Some Observations of AF Schemes -- 5.9 Multi-grid Method -- 5.9.1 Program 5.3: mgc.f -- 5.10 Summary -- 5.11 Key Terms -- 5.12 Exercise 5 -- Chapter 6: Equations of Mixed Elliptic-Hyperbolic Type -- 6.1 Introduction -- 6.2 Tricomi Equation -- 6.3 Transonic Computations Based on TSP Model -- 6.3.1 Finite Difference Discretisation -- 6.3.2 Implementation of Boundary Conditions -- 6.3.3 Iterative Solution of the Discretised Equations -- 6.3.4 Artificial Viscosity and Conservative Schemes -- 6.3.5 Computational Results -- 6.3.6 Program 6.1 tsc.f -- 6.4 Summary -- 6.5 Key Terms -- 6.6 Exercise 6 -- Part II: Computational Fluid Dynamics -- Chapter 7: The Basic Equations of Fluid Dynamics -- 7.1 Introduction -- 7.2 Basic Conservation Principles -- 7.3 Unsteady Navier-Stokes Equations in Integral Form -- 7.4 Navier-Stokes Equations in Differential Form -- 7.4.1 Compressible Two-Dimensional Equations in Vector Form -- 7.4.2 Incompressible Navier-Stokes Equations in Cartesian Coordinates -- 7.4.3 Dimensionless Form of the Basic Equations…”

Tabla de Contenidos: “…Cover -- About the Author -- Contents -- Preface -- Chapter 1: Matrices and Linear Systems of Equations -- 1.1 Introduction -- 1.1.1 Matrix: Definition -- 1.1.2 Types of Matrices -- 1.2 Algebra of Matrices -- 1.3 Matrix Multiplication -- 1.3.1 Properties -- 1.4 Determinant of a Square Matrix -- 1.4.1 Expansion of a Determinant of Third Order -- 1.4.2 Expansion of the Determinant of a Matrix of any Order n -- 1.4.3 Properties of Determinant of a Matrix A -- 1.5 Related Matrices -- 1.5.1 The Transpose of a Matrix: Properties -- 1.5.2 Adjoint of a Square Matrix -- 1.5.3 Invertible Matrix -- 1.5.4 Submatrix of a Matrix -- 1.6 Determinant-related Matrices -- 1.6.1 Singular Matrix -- 1.6.2 Nonsingular Matrix -- 1.6.3 Properties of Invertible Matrices (Non Singular Matrices) -- 1.7 Special Matrices -- 1.7.1 Idempotent Matrix -- 1.7.2 Nilpotent Matrix -- 1.7.3 Involutory Matrix -- 1.7.4 Periodic Matrix -- Exercise 1.1 -- 1.8 Linear Systems of Equations -- 1.8.1 Introduction -- 1.9 Homogeneous (H) and Nonhomogeneous (NH) Systems of Equations -- 1.9.1 Matrix Form of the Linear System -- 1.10 Elementary Row and Column Operations (Transformations) for Matrices -- 1.10.1 Equivalence of Matrices -- 1.10.2 Vectors: Linear Dependence and Independence -- 1.10.3 Rank of a Matrix: Definition 1 -- 1.10.4 Methods for Determining Linear Dependence (L.D.) and Linear Independence (L.I.) of Vectors -- Exercise 1.2 -- 1.11 Inversion of a Nonsingular Matrix -- 1.11.1 Method 1: Adjoint Method (or Determinants Method) -- 1.11.2 Elementary Matrices -- 1.11.3 Method 2: Gauss-Jordan6-7 Method of Finding the Inverse of a Matrix -- Exercise 1.3 -- 1.12 Rank of a Matrix -- 1.12.1 Rank of a Matrix: Definition 2 -- 1.13 Methods for Finding the Rank of a Matrix -- 1.13.1 Method 1: Maximum Number of Linearly Independent Rows -- 1.13.2 Method 2: Method of Minors (Enumeration Method)…”

Tabla de Contenidos: “…Digital Circuits -- Chapter 2: Boolean Algebra and Theorems, Minterms and Maxterms -- 2.1 The NOT, AND, OR Logic Operations -- 2.1.1 The NOT Logic Operation -- 2.1.2 The AND Logic Operation -- 2.1.3 The OR Logic Operation -- 2.2 The NAND and NOR Logic Operations -- 2.2.1 NAND Gate -- 2.2.2 NOR Gate -- 2.3 The XOR, NOT-XOR, NOT-NOT Logic Operations -- 2.3.1 XOR Logic Operation -- 2.3.2 NOT-XOR (XNOR) Logic Operation -- 2.3.3 NOT-NOT Logic Operation -- 2.4 Boolean Algebraic Rules (for Outputs from the Inputs) -- 2.4.1 OR Rules -- 2.4.2 AND Rules -- 2.4.3 NOT Rules (Rules of Complementation) -- 2.5 Boolean Algebraic Laws -- 2.5.1 Commutative Laws -- 2.5.2 Associative Laws -- 2.5.3 Distributive Laws -- 2.6 Demorgan Theorems -- 2.7 The Sum of the Products (SOPs) as per Boolean Expression and Minterms -- 2.7.1 SOPs for Two Variables (Two Inputs) Case -- 2.7.2 SOPs for Three Variables (Three Inputs) Case -- 2.7.3 SOPs for Four Variables (Four Inputs) Case -- 2.7.4 Conversion of a Boolean Expression or Truth Table Outputs into the Standard SOP Format -- 2.8 Product of the Sums and Maxterms for a Boolean Expression -- 2.8.1 POS for Two Variables (Two Inputs) Case -- 2.8.2 POS for Three Variables (Three Inputs) Case -- 2.8.3 POS for Four Variables (Four Inputs) Case -- 2.8.4 Conversion of a Boolean Expression into Standard POS Format -- Chapter 3: Karnaugh Map and Minimization Procedures -- 3.1 The Three-Variable Karnaugh Map and Tables -- 3.1.1 Karnaugh Map from the Truth Table -- 3.1.2 Karnaugh Map from the Minterms in a SOP -- 3.1.3 Karnaugh Map from the Maxterms in a POS -- 3.2 Four Variable Karnaugh Map and Tables…”

“…The book presumes knowledge of linear algebra, probability, data analysis, and basic computer programming"-- "This book emphasizes the collaborative analysis of data that is used to collect increments of time or space. …”

“…Key concepts and applications are addressed in a thought-provoking manner and are implemented using vector, matrix, and linear algebra methods. With a balanced focus on mathematical theory and computational techniques, this self-contained book equips readers with the essential knowledge needed to transition smoothly from mathemat…”

“…Build an intuitive understanding of the principles behind quantum mechanics through practical construction and replication of original experiments With easy-to-acquire, low-cost materials and basic knowledge of algebra and trigonometry, Exploring Quantum Physics through Hands-on Projects takes readers step by step through the process of re-creating scientific experiments that played an essential role in the creation and development of quantum mechanics. …”

“…If you’re familiar with linear algebra, probability, and statistics, and have programming experience, this book is an ideal introduction to data science. …”

Tabla de Contenidos: “…APPENDIX: Review of Linear Algebra -- Bibliography -- Index…”

Tabla de Contenidos: “…13.7 Change of Variables in multiple integrals -- Review Exercises -- 14 Vector calculus -- 14.1 Vector Fields -- 14.2 Line integrals -- 14.3 Conservative Vector Fields -- 14.4 Green's Theorem -- 14.5 Divergence and curl -- 14.6 Surface integrals -- 14.7 Stokes' Theorem -- 14.8 Divergence Theorem -- Review Exercises -- Appendix A Algebra review -- Appendix B Proofs of selected Theorems -- Answers -- Index -- Table of integrals…”

Tabla de Contenidos: “…2.9.1.3 Delete -- 2.9.1.4 Update -- 2.9.2 Network Model -- 2.9.2.1 Retrieval -- 2.9.2.2 Insert -- 2.9.2.3 Delete -- 2.9.2.4 Update -- 2.9.3 Relational Model -- 2.9.3.1 Retrieval -- 2.10 Database System Architecture -- Key Terms and Concepts -- Chapter Summary -- Practice Set -- Chapter 3: The Relational Model -- 3.1 Relational Databases Primer -- 3.1.1 Tabular Representation of Data -- 3.1.2 Some Terminology -- 3.1.3 Domains -- 3.2 Relational Database Characteristics -- 3.3 Relational Algebra -- 3.3.1 Relational Algebra Operators -- 3.3.1.1 Restrict -- 3.3.1.2 Project -- 3.3.1.3 Product -- 3.3.1.4 Union -- 3.3.1.5 Intersection -- 3.3.1.6 Difference -- 3.3.1.7 Join -- 3.3.1.8 Divide -- 3.3.2 Grouping -- 3.4 Relational Calculus -- 3.5 Database Integrity -- 3.5.1 Constraints -- 3.5.2 Declarative and Procedural Constraints -- 3.5.2.1 Type constraints -- 3.5.2.2 Attribute constraints -- 3.5.2.3 Instance constraints -- 3.5.2.4 Database constraints -- 3.5.3 More on Constraints -- 3.6 Keys -- 3.6.1 Superkey and Key -- 3.6.2 Composite Key -- 3.6.3 Candidate Key -- 3.6.4 Primary Key -- 3.6.5 Alternate Key or Secondary Key -- 3.6.6 Foreign Key -- 3.6.7 Keys and SQL -- 3.6.7.1 Defining primary keys in SQL -- 3.6.7.2 Defining foreign keys in SQL -- 3.7 Entity and Referential Integrity -- 3.7.1 Entity Integrity -- 3.7.2 Referential Integrity -- 3.8 Views -- 3.8.1 What is a View? …”

Tabla de Contenidos: “…; 5.7 Bayesian Theory; 5.8 Planck System; 5.9 Bits, Nats, and Bans; 5.10 A Communication System; 5.11 Holography; Chapter 6 Mathematics for Audio Systems; 6.1 Engineering Calculations; 6.2 Precision, Accuracy, and Resolution; 6.3 Simple Numbers; 6.4 How to Add Gains and Losses Algebraically; 6.5 The Factor-Label System; 6.6 Basic Physical Terms; 6.7 Mathematical Operations; 6.8 Complex Number Operations; 6.9 Decade Calibration; 6.10 Converting Linear Scales to Logarithmic Scales…”

Tabla de Contenidos: “….) -- BIBLIOGRAFÍA -- ESTUDIO INDEPENDIENTE -- ANEXO IV.1 -- TEMA V: EJEMPLOS DE EDO APLICADAS A LA QUÍMICA -- V.1 DESINTEGRACIÓN RADIOACTIVA -- V.2 DISOLUCIONES -- V.3 REACCIONES QUÍMICAS -- V.4 VIBRACIONES DE MOLÉCULAS DIATÓMICA -- BIBLIOGRAFÍA -- SEGUNDA PARTE: FUNCIONES ESPECIALES Y ECUACIONES EN DERIVADAS PARCIALES -- TEMA VI: FUNCIONES ESPECIALES -- VI.1 ECUACIÓN GENERAL DE LAS FUNCIONES ESPECIALES -- VI.2 FÓRMULA DE RODRIGUES -- VI.3 ORTOGONALIDAD Y NORMA -- VI.4 EXPRESIÓN DE POLINOMIOS EN SERIE DE POTENCIAS FINITA -- VI.5 CÓDIGOS EN VBA (EXCEL) Y OPCIONES EN MATHEMATICA -- BIBLIOGRAFÍA -- TEMA VII: ELEMENTOS SOBRE ECUACIONES EN DERIVADAS PARCIALES -- VII.1 DEFINICIONES PRELIMINARES -- VII.2 MÉTODO DE SEPARACIÓN DE VARIABLES (MSV -- VII.3 ECUACIÓN DE SCHRÖDINGER -- BIBLIOGRAFÍA -- TEMA VIII: EJEMPLOS DE EDP APLICADAS A LA QUÍMICA -- VIII.1 OSCILADOR ARMÓNICO CUÁNTICO -- VIII.2 EL ÁTOMO DE HIDRÓGENO -- VIII.3 POZO SEMI-INFINITO -- BIBLIOGRAFÍA -- ANEXOS -- ANEXO A: CONCEPTOS FUNDAMENTALES DEL ÁLGEBRA LINEAL -- ANEXO B: DESARROLLO DEL POTENCIAL EN MULTIPOLOS…”

Tabla de Contenidos: “…2.2.1 Consensus in Networks -- 2.2.2 The f-Consensus Problem -- 2.2.3 Iterative Consensus and Markov Chains -- 2.3 Applications -- 2.3.1 Synchronization of Coupled Oscillators -- 2.3.2 Flocking Theory -- 2.3.3 Fast Consensus in Small-Worlds -- 2.3.4 Rendezvous in Space -- 2.3.5 Distributed Sensor Fusion in Sensor Networks -- 2.3.6 Distributed Formation Control -- 2.4 Information Consensus -- 2.4.1 Algebraic Connectivity and Spectral Properties -- 2.4.2 Convergence Analysis for Directed Networks -- 2.4.3 Consensus in Discrete-Time -- 2.4.4 Performance of Consensus Algorithms…”

Tabla de Contenidos: “…The activation layer -- The pooling layer -- The fully connected layer -- Batch Normalization -- Dropout -- CNN in practice -- Fashion-MNIST classifier training code -- Analysis of CNNs -- Popular CNN architectures -- VGGNet -- Inception models -- ResNet model -- Transfer learning -- Summary -- Chapter 6: Feature-Based Object Detection -- Introduction to object detection -- Challenges in object detection -- Dataset and libraries used -- Methods for object detection -- Deep learning-based object detection -- Two-stage detectors -- Demo - Faster R-CNN with ResNet-101 -- One-stage detectors -- Demo -- Summary -- References -- Chapter 7: Segmentation and Tracking -- Datasets and libraries -- Segmentation -- Challenges in segmentation -- CNNs for segmentation -- Implementation of FCN -- Tracking -- Challenges in tracking -- Methods for object tracking -- MOSSE tracker -- Deep SORT -- Summary -- References -- Chapter 8: 3D Computer Vision -- Dataset and libraries -- Applications -- Image formation -- Aligning images -- Visual odometry -- Visual SLAM -- Summary -- References -- Chapter 9: Mathematics for Computer Vision -- Datasets and libraries -- Linear algebra -- Vectors -- Addition -- Subtraction -- Vector multiplication -- Vector norm -- Orthogonality -- Matrices -- Operations on matrices -- Addition -- Subtraction -- Matrix multiplication -- Matrix properties -- Transpose -- Identity matrix -- Diagonal matrix -- Symmetric matrix -- Trace of a matrix -- Determinant -- Norm of a matrix -- Getting the inverse of a matrix -- Orthogonality -- Computing eigen values and eigen vectors -- Hessian matrix -- Singular Value Decomposition -- Introduction to probability theory -- What are random variables? …”