“…The book only requires the reader to be knowledgeable in the basics of algebra and statistics. The Mathematical formulae are only fully proven when the proof brings some useful insight. …”

“…Grokking Artificial Intelligence Algorithms uses illustrations, exercises, and jargon-free explanations to teach fundamental AI concepts. All you need is the algebra you remember from high school math class. …”

Tabla de Contenidos: “…Starting Out -- Using the Erlang Shell -- Entering Shell Commands -- Exiting the Shell -- Some Erlang Basics -- Numbers -- Invariable Variables -- Atoms -- Boolean Algebra and Comparison Operators -- Tuples -- Lists -- List Comprehensions -- Working with Binary Data -- Bit Syntax -- Bitwise Binary Operations -- Binary Strings -- Binary Comprehensions -- 2. …”

“…He also reveals a new derivation using linear algebra (included in Chapter 6), and the proxy formula is then exploited in the following chapters for correlation trading and correlation modeling. …”

Tabla de Contenidos: “…-- Problems -- A Non-relativistic Quantum Mechanics -- B Natural Units -- C Maxwell's Equations: Choice of Units -- D Special Relativity: Invariance and Covariance -- E Dirac δ-Function -- F Contour Integration -- G Green Functions -- H Elements of Non-relativistic Scattering Theory -- H.1 Time-independent formulation and differential cross section -- H.2 Expression for the scattering amplitude: Born approximation -- H.3 Time-dependent approach -- I The Schrödinger and Heisenberg Pictures -- J Dirac Algebra and Trace Identities -- J.1 Dirac algebra -- J.1.1 γ matrices -- J.1.2 γ5 identities -- J.1.3 Hermitian conjugate of spinor matrix elements -- J.1.4 Spin sums and projection operators -- J.2 Trace theorems…”

Tabla de Contenidos: “…-- Summary -- Chapter 2: Types of Data -- Structured versus unstructured data -- Quantitative versus qualitative data -- Digging deeper -- The four levels of data -- The nominal level -- Measures of center -- The ordinal level -- The interval level -- The ratio level -- Data is in the eye of the beholder -- Summary -- Questions and answers -- Chapter 3: The Five Steps of Data Science -- Introduction to data science -- Overview of the five steps -- Exploring the data -- Guiding questions for data exploration -- DataFrames -- Series -- Exploration tips for qualitative data -- Summary -- Chapter 4: Basic Mathematics -- Basic symbols and terminology -- Vectors and matrices -- Arithmetic symbols -- Summation -- Logarithms/exponents -- Set theory -- Linear algebra -- Matrix multiplication -- How to multiply matrices together -- Summary -- Chapter 5: Impossible or Improbable - A Gentle Introduction to Probability -- Basic definitions -- What do we mean by "probability"? …”

Tabla de Contenidos: “…4.2.1 PHA Procedure Outline -- 4.3 ALARP Principles -- 4.3.1 ALARP Point -- 4.3.2 ALARP Discussions -- 4.3.3 ALARP Process -- 4.3.4 ALARP Demonstration -- 4.3.5 ALARP Assessment -- 4.3.6 Good Practices -- 4.3.7 Cost Benefit Analysis and Gross Disproportionate -- 4.3.8 ALARP Pros and Cons -- 5.0 BASICS OF MATHEMATICS -- 5.1 Logic Gates -- 5.1.1 OR Gate -- 5.1.2 AND Gate -- 5.1.3 NOT Gate -- 5.1.4 Logic Gate Discussions -- 5.1.5 Binary Decision Diagram -- 5.2 Set Theory -- 5.2.1 Important Laws of Algebraic Sets -- 5.2.2 Relation and Mapping -- 5.3 Probability -- 5.3.1 Probability Definition -- 5.3.2 Algebraic Operation of Probability -- 5.3.3 Probability Mass Function -- 5.3.4 Cumulative Distribution Function -- 5.3.5 Probability Density Function -- 6.0 FAULT TOLERANCE AND PLANT AGEING -- 6.1 Fault Tolerance -- 6.1.1 Fault and Fault Tolerance -- 6.1.2 Redundancy and Replica -- 6.2 Plant Ageing -- 6.2.1 Contributing Factors -- 6.2.2 Aging Management -- 6.2.3 Various Plant Ageing Componts -- 6.2.4 Plant Ageing Indicator -- 6.2.5 Factors -- 6.2.6 Operator Action -- 6.2.7 Inspection Teamwork -- 6.2.8 Plant Ageing Control Discussions -- 6.2.9 Progressive Ageing -- 7.0 SAFETY INSTRUMENTATION -- 7.1 Commonly Used Terms -- 7.1.1 BPCS -- 7.1.2 SIS -- 7.1.3 SIF -- 7.1.4 Functional Safety -- 7.1.5 SIL -- 7.1.6 PFD -- 7.1.7 MTBF -- 7.1.8 SIS Implementation -- 7.2 Control Objective and Layers of Protections -- 7.2.1 Control Objectives -- 7.2.2 Layers of Protections -- 7.3 SIS Boundary and Layout -- 7.4 SIS Related Issues -- 7.4.1 Hardware Issues -- 7.4.2 Software Issues -- 7.4.3 Company Issues -- 8.0 FUNCTIONAL SAFETY AND SAFETY INTEGRITY LEVEL -- 8.1 Normally Used Terms -- 8.1.1 Functional Safety -- 8.1.2 EUC -- 8.1.3 E/E/PEs -- 8.1.4 Safety Integrity Level (SIL) -- 8.1.5 SIF -- 8.2 Functional Safety Discussions -- 8.2.1 Functional Safety Concept…”

Tabla de Contenidos: “…Cover -- Title Page -- Copyright -- Dedication -- Contributors -- Table of Contents -- Preface -- Chapter 1: An Introduction to Basic Packages, Functions, and Concepts -- Technical requirements -- Exploring Python numerical types -- Decimal type -- Fraction type -- Complex type -- Understanding basic mathematical functions -- Diving into the world of NumPy -- Element access -- Array arithmetic and functions -- Useful array creation routines -- Higher-dimensional arrays -- Working with matrices and linear algebra -- Basic methods and properties -- Matrix multiplication -- Determinants and inverses -- Systems of equations -- Eigenvalues and eigenvectors -- Sparse matrices -- Summary -- Further reading -- Chapter 2: Mathematical Plotting with Matplotlib -- Technical requirements -- Basic plotting with Matplotlib -- Getting ready -- How to do it... -- How it works... -- There's more... -- Adding subplots -- Getting ready -- How to do it... -- How it works... -- There's more... -- See also -- Plotting with error bars -- Getting ready -- How to do it... -- How it works... -- There's more... -- Saving Matplotlib figures -- Getting ready -- How to do it... -- How it works... -- There's more... -- See also -- Surface and contour plots -- Getting ready -- How to do it... -- How it works... -- There's more... -- See also -- Customizing three-dimensional plots -- Getting ready -- How to do it... -- How it works... -- There's more... -- Plotting vector fields with quiver plots -- Getting ready -- How to do it... -- How it works... -- There's more... -- Further reading -- Chapter 3: Calculus and Differential Equations -- Technical requirements -- Primer on calculus -- Working with polynomials and calculus -- Getting ready -- How to do it... -- How it works... -- There's more... -- See also -- Differentiating and integrating symbolically using SymPy -- Getting ready…”

“…The recipes inside range from how to perform simple tasks, like importing external data, to ways of handling issues that are more complicated, like set algebra. Authors Ales Spetic and Jonathan Gennick, two authorities with extensive database and SQL programming experience, include a discussion with each recipe to explain the logic and concepts underlying the solution. …”

Tabla de Contenidos: “…Cover -- Contents -- Foreword -- Preface -- Part A: Information Theory and Source Coding -- Chapter 1: Probability, Random Processes, and Noise -- 1.1 Introduction -- 1.2 Fundamentals of Probability -- 1.2.1 Algebra of Probability -- 1.2.2 Axioms of Probability -- 1.2.3 Elementary Theorems on Probability -- 1.2.4 Conditional Probability -- 1.2.5 Independent Events -- 1.2.6 Total Probability -- 1.3 Random Variables and Its Characteristics -- 1.3.1 Discrete Random Variable and Probability Mass Function -- 1.3.2 Cumulative Distribution Function -- 1.3.3 Distribution Function for Discrete Random Variable -- 1.3.4 Continuous Random Variable and Probability Density Function -- 1.4 Statistical Averages -- 1.5 Frequently Used Probability Distributions -- 1.5.1 Binomial Distribution -- 1.5.2 Poisson Distribution -- 1.5.3 Gaussian Distribution -- 1.6 Random Processes -- 1.7 Noise -- 1.7.1 Sources of Noise -- 1.7.2 Thermal Noise -- 1.7.3 Shot Noise -- 1.7.4 Partition Noise -- 1.7.5 Flicker Noise or 1/f Noise -- 1.8 Solved Problems -- Multiple Choice Questions -- Review Questions -- Chapter 2: Information Theory -- 2.1 Introduction -- 2.2 Measure of Information -- 2.3 Entropy -- 2.4 Information Rate -- 2.5 Channel Model -- 2.5.1 Discrete Memoryless Channel -- 2.5.2 Special Channels -- 2.6 Joint Entropy and Conditional Entropy -- 2.7 Mutual Information -- 2.8 Channel Capacity -- 2.8.1 Special Channels -- 2.9 Shannon's Theorem -- 2.10 Continuous Channel -- 2.10.1 Differential Entropy -- 2.10.2 Additive White Gaussian Noise Channel -- 2.10.3 Shannon-Hartley Law -- 2.11 Solved Problems -- Multiple Choice Questions -- Review Questions -- Chapter 3: Source Codes -- 3.1 Introduction -- 3.2 Coding Parameters -- 3.3 Source Coding Theorem -- 3.4 Classification of Codes -- 3.5 Kraft Inequality -- 3.6 Image Compression…”

Tabla de Contenidos: “…Machine generated contents note: Preface vii Acknowledgements ix List of Abbreviations xi 1 Introduction 1 1.1 Analysis and Synthesis of Nonlinear Stochastic Systems 2 1.1.1 Nonlinear Systems 3 1.1.2 Stochastic Systems 4 1.2 Multi-Objective Control and Filtering with Variance Constraints 5 1.2.1 Covariance Control Theory 5 1.2.2 Multiple Performance Requirements 7 1.2.3 Design Techniques for Nonlinear Stochastic Systems with Variance Constraints 9 1.2.4 A Special Case of Multi-Objective Design: Mixed H2/H1 Control/Filtering 11 1.3 Outline 12 2 Robust H1 Control with Variance Constraints 17 2.1 Problem Formulation 18 2.2 Stability, H1 Performance and Variance Analysis 20 2.2.1 Stability, H1 Performance Analysis 21 2.2.2 Variance Analysis 23 2.3 Robust Controller Design 27 2.4 Numerical Example 30 2.5 Summary 33 3 Robust Mixed H2=H1 Filtering 41 3.1 System Description and Problem Formulation 42 3.2 Algebraic Characterizations for Robust H2=H1 Filtering 44 3.2.1 Robust H2 Filtering 44 3.2.2 Robust H1 Filtering 50 3.3 Robust H2=H1 Filter Design Techniques 51 3.4 An Illustrative Example 60 3.5 Summary 62 4 Filtering with Missing Measurements 63 4.1 Problem Formulation 64 4.2 Stability and Variance Analysis 67 4.3 Robust Filter Design 71 4.4 Numerical Example 75 4.5 Summary 78 5 Robust Fault-Tolerant Control 87 5.1 Problem Formulation 88 5.2 Stability and Variance Analysis 90 5.3 Robust Controller Design 92 5.4 Numerical Example 98 5.5 Summary 103 6 Robust H2 SMC 105 6.1 The System Model 106 6.2 Robust H2 Sliding Mode Control 107 6.2.1 Switching Surface 107 6.2.2 Performances of the Sliding Motion 108 6.2.3 Computational Algorithm 114 6.3 Sliding Mode Controller 115 6.4 Numerical Example 116 6.5 Summary 118 7 Dissipative Control with Degraded Measurements 125 7.1 Problem Formulation 126 7.2 Stability, Dissipativity and Variance Analysis 129 7.3 Observer-Based Controller Design 134 7.3.1 Solvability of Multi-Objective Control Problem 134 7.3.2 Computational Algorithm 139 7.4 Numerical Example 140 7.5 Summary 142 8 Variance-Constrained H1 Control with Multiplicative Noises 145 8.1 Problem Formulation 146 8.2 Stability, H1 Performance, Variance Analysis 147 8.2.1 Stability 148 8.2.2 H1 performance 150 8.2.3 Variance analysis 152 8.3 Robust State Feedback Controller Design 153 8.4 A Numerical Example 156 8.5 Summary 157 9 Robust Finite-Horizon H1 Control 159 9.1 Problem Formulation 160 9.2 Performance Analysis 162 9.2.1 H1 Performance 162 9.2.2 Variance Analysis 164 9.3 Robust Finite Horizon Controller Design 167 9.4 Numerical Example 171 9.5 Summary 173 10 Finite-Horizon Filtering with Degraded Measurements 177 10.1 Problem Formulation 178 10.2 Performance Analysis 181 10.2.1 H1 Performance Analysis 181 10.2.2 System Covariance Analysis 186 10.3 Robust Filter Design 187 10.4 Numerical Example 190 10.5 Summary 191 11 Mixed H2=H1 Control with Randomly Occurring Nonlinearities: the Finite-Horizon Case 197 11.1 Problem Formulation 199 11.2 H1 Performance 200 11.3 Mixed H2=H1 Controller Design 204 11.3.1 State-Feedback Controller Design 204 11.3.2 Computational Algorithm 207 11.4 Numerical Example 207 11.5 Summary 211 12 Finite-Horizon H2=H1 Control of MJSs with Sensor Failures 213 12.1 Problem Formulation 214 12.2 H1 Performance 216 12.3 Mixed H2=H1 Controller Design 220 12.3.1 Controller Design 220 12.3.2 Computational Algorithm 224 12.4 Numerical Example 224 12.5 Summary 227 13 Finite-Horizon Control with ROSF 229 13.1 Problem Formulation 230 13.2 H1 And Covariance Performances Analysis 234 13.2.1 H1 Performance 234 13.2.2 Covariance Analysis 238 13.3 Robust Finite-Horizon Controller Design 240 13.3.1 Controller Design 240 13.3.2 Computational Algorithm 243 13.4 Numerical Example 243 13.5 Summary 244 14 Finite-Horizon H2=H1 Control with Actuator Failures 247 14.1 Problem Formulation 248 14.2 H1 Performance 251 14.3 Multi-Objective Controller Design 253 14.3.1 Controller Design 253 14.3.2 Computational Algorithm 256 14.4 Numerical Example 257 14.5 Summary 259 15 Conclusions and Future Topics 261 References 263 …”

“…Intended as an intermediate microeconomics text, Perloff introduces economic theory through a combination of calculus, algebra, and graphs. The text integrates estimated, real-world problems and applications, using a step-by-step approach to demonstrate how microeconomic theory can be applied to solve practical problems and policy issues. …”

Tabla de Contenidos: “…. -- Merging data from multiple pandas objects -- Chapter 5: Matrices and Linear Algebra -- Introduction -- Matrix operations and functions on two-dimensional arrays -- How to do it... -- Solving linear systems using matrices -- How it works... -- How to do it... -- Calculating the null space of a matrix -- How to do it... -- Calculating the LU decompositions of a matrix -- How to do it... -- Calculating the QR decomposition of a matrix -- How to do it... -- Calculating the eigenvalue and eigenvector of a matrix -- How to do it... -- Diagonalizing a matrix -- How to do it... -- Calculating the Jordan form of a matrix -- How to do it... -- Calculating the singular value decomposition of a matrix -- How to do it... -- Creating a sparse matrix -- How to do it... -- Computations on top of a sparse matrix -- How to do it... -- Chapter 6: Solving Equations and Optimization -- Introduction -- Non-linear equations and systems -- Getting ready -- How to do it... -- How it works... -- System of equations and how to solve it -- Getting ready -- How to do it... -- How it works... -- Choosing the solver used to find the solution of equations…”

Tabla de Contenidos: “…Selecting algorithms based on function -- Using Spark to generate real-time big data analytics -- Chapter 4 Math, Probability, and Statistical Modeling -- Exploring Probability and Inferential Statistics -- Probability distributions -- Conditional probability with Naïve Bayes -- Quantifying Correlation -- Calculating correlation with Pearson's r -- Ranking variable-pairs using Spearman's rank correlation -- Reducing Data Dimensionality with Linear Algebra -- Decomposing data to reduce dimensionality -- Reducing dimensionality with factor analysis -- Decreasing dimensionality and removing outliers with PCA -- Modeling Decisions with Multiple Criteria Decision-Making -- Turning to traditional MCDM -- Focusing on fuzzy MCDM -- Introducing Regression Methods -- Linear regression -- Logistic regression -- Ordinary least squares (OLS) regression methods -- Detecting Outliers -- Analyzing extreme values -- Detecting outliers with univariate analysis -- Detecting outliers with multivariate analysis -- Introducing Time Series Analysis -- Identifying patterns in time series -- Modeling univariate time series data -- Chapter 5 Grouping Your Way into Accurate Predictions -- Starting with Clustering Basics -- Getting to know clustering algorithms -- Examining clustering similarity metrics -- Identifying Clusters in Your Data -- Clustering with the k-means algorithm -- Estimating clusters with kernel density estimation (KDE) -- Clustering with hierarchical algorithms -- Dabbling in the DBScan neighborhood -- Categorizing Data with Decision Tree and Random Forest Algorithms -- Drawing a Line between Clustering and Classification -- Introducing instance-based learning classifiers -- Getting to know classification algorithms -- Making Sense of Data with Nearest Neighbor Analysis -- Classifying Data with Average Nearest Neighbor Algorithms…”

Tabla de Contenidos: “…Chapter 4 Quiz -- Answers to Chapter 4 Quiz -- Unit 2: Getting the Grip on Graphing -- Chapter 5: Graphing Polynomial Functions -- Understanding Degrees and Roots -- Factoring a Polynomial Expression -- Always the first step: Looking for a GCF -- Unwrapping the box containing a trinomial -- Recognizing and factoring special polynomials -- Grouping to factor four or more terms -- Finding the Roots of a Factored Equation -- Cracking a Quadratic Equation When It Won't Factor -- Using the quadratic formula -- Completing the square -- Solving Polynomial Equations with a Degree Higher Than Two -- Counting a polynomial's total roots -- Tallying the real roots: Descartes's rule of signs -- Accounting for imaginary roots: The fundamental theorem of algebra -- Guessing and checking the real roots -- Put It in Reverse: Using Solutions to Find Factors -- Graphing Polynomials…”

Tabla de Contenidos: “…Watanabe and the Japanese Yen Carry Trade -- Questions -- Problems -- Internet Exercises -- Appendix: An Algebraic Primer to International Parity Conditions -- Chapter 7 Foreign Currency Derivatives: Futures and Options -- 7.1 Foreign Currency Futures -- 7.2 Foreign Currency Options -- 7.3 Option Pricing and Valuation -- 7.4 Currency Option Pricing Sensitivity -- Summary Points -- Mini-Case: KiKos and the South Korean Won -- Questions -- Problems -- Internet Exercises -- Appendix: Currency Option Pricing Theory -- Chapter 8 Interest Rate Risk and Swaps -- 8.1 Interest Rate Foundations -- 8.2 The Cost of Debt -- 8.3 Interest Rate Risk -- 8.4 Interest Rate Futures and FRAs -- 8.5 Interest Rate Swaps -- Summary Points -- Mini-Case: Argentina and the Vulture Funds -- Questions -- Problems -- Internet Exercises -- Chapter 9 Foreign Exchange Rate Determination and Intervention -- 9.1 Exchange Rate Determination: The Theoretical Thread -- 9.2 Currency Market Intervention -- 9.3 Disequilibrium: Exchange Rates in Emerging Markets -- 9.4 Currency Forecasting in Practice -- Summary Points -- Mini-Case: Iceland-A Small Country in a Global Crisis -- Questions -- Problems -- Internet Exercises -- PART 3 Foreign Exchange Exposure -- Chapter 10 Transaction Exposure -- 10.1 Types of Foreign Exchange Exposure -- 10.2 Why Hedge? …”

Tabla de Contenidos: “…5.3.3 Narrowband MIMO Channel Sounding -- 5.4 Wideband Sounding: Correlative Sounding -- 5.4.1 ML-sequences -- 5.4.2 Cross-Correlation Using the FFT -- 5.4.3 Digital Matched Filters -- 5.5 Wideband Sounding: Sampled Spectrum Channel Sounding -- 5.6 Switched-array Architectures -- 5.7 Timing and Carrier Recovery -- 5.7.1 Digital Timing Recovery Methods -- 5.7.2 Phase Recovery Using a Decision Directed Feedback Loop -- 5.8 Summary and Discussion -- 5.9 Notes and References -- Chapter 6: Experimental Verifications -- 6.1 Validation Metrics -- 6.1.1 Channel Capacity -- 6.1.2 The Diversity and Correlation Metrics -- 6.1.3 The Demmel Condition Number -- 6.1.4 The Environmental Characterization Metric -- 6.1.5 Correlation Matrix Difference Metric -- 6.2 WMSDR Experimental Setup -- 6.2.1 Terminology -- 6.2.2 Measurement Description -- 6.3 BYU Wideband Channel Sounder Experimental Setup -- 6.3.1 BYU Transmitter Set -- 6.3.2 BYU Receiver Set -- 6.3.3 Measurement Description -- 6.4 Experimental Results -- 6.4.1 Capacity Measure: Methodology -- 6.4.2 Results: MIMO APS and Spatial Structure -- 6.4.3 Results: Wideband Correlation Matrices -- 6.5 Discussion -- 6.5.1 Accuracy of the Results -- 6.5.2 Sources of Error -- 6.6 Summary and Discussion -- 6.7 Notes and References -- Appendix A: An Introduction to Tensor Algebra -- Appendix B: Proof of Theorems from Chapter 3 -- Appendix C: COST 273 Model Summary -- Glossary -- Bibliography -- Index…”

Tabla de Contenidos: “…EVOLUCIÓN DEL ORDENADOR -- HISTORIA DEL ORDENADOR: ORÍGENES -- LOS CALCULADORES MECÁNICOS -- LOS PROCESADORES MECÁNICOS -- EL ÁLGEBRA DE LOS CIRCUITOS LÓGICOS -- LOS TABULADORES MECÁNICOS -- VÁLVULAS ELECTRÓNICAS. …”

Tabla de Contenidos: “…Growth Rates in the Postwar Period -- CROSS-COUNTRY DIFFERENCES IN GROWTH ACCOUNTING RATES -- SUMMARY -- KEY TERMS -- REVIEW QUESTIONS -- PROBLEMS -- DATA ANALYSIS PROBLEMS -- Chapter 6 Appendix THE ALGEBRA OF THE SOLOW GROWTH MODEL -- SOLVING FOR THE STEADY STATE -- SUMMARY AND RESULTS -- REVIEW QUESTIONS AND PROBLEMS -- Chapter 6 Web Appendix THE GOLDEN RULE LEVEL OF THE CAPITAL-LABOR RATIO -- Chapter 7 DRIVERS OF GROWTH: TECHNOLOGY, POLICY, AND INSTITUTIONS -- PREVIEW -- TECHNOLOGY AS A PRODUCTION INPUT -- Technology Versus Conventional Production Inputs -- Technology and Excludability -- POLICIES TO PROMOTE PRODUCTIVITY -- Building Infrastructure -- Increasing Human Capital -- POLICY AND PRACTICE: Government Measures to Increase Human Capital -- Encouraging Research and Development -- INSTITUTIONS AND PROPERTY RIGHTS -- The Legal System and Property Rights -- Geography, the Legal System, and Economic Growth -- Obstacles to Effective Property Rights -- POLICY AND PRACTICE: The World Bank's Doing Business -- POLICY AND PRACTICE: Does Foreign Aid Work? …”

“…The Second Edition continues the tradition of the first in avoiding complicated algebra and complex numbers, with the mathematics reduced to the bare minimum; there is nothing more complicated to grapple with than a square root. …”