Tabla de Contenidos: “…7.2.3.1 Digital Arrays -- 7.2.3.2 Analog Arrays -- 7.2.3.3 Hybrid Arrays -- 7.2.3.4 A Millimeter-Wave Antenna Array System Prototype -- 7.2.4 UE Antennas -- 7.2.5 Antenna Ports and QCL -- 7.2.6 CSI Acquisition -- 7.2.6.1 Reciprocity Based -- 7.2.6.2 Feedback Based -- 7.2.7 Massive MIMO -- 7.3 Multiantenna Techniques in NR -- 7.3.1 CSI Acquisition -- 7.3.1.1 Interference Measurements -- 7.3.2 Downlink MIMO Transmission -- 7.3.3 Uplink MIMO Transmission -- 7.3.4 Beam Management -- 7.3.4.1 Beam Acquisition During Initial Access -- 7.3.4.2 Beam Management Procedures -- 7.3.4.3 Beam Measurement and Reporting -- 7.3.4.4 Beam Indication -- 7.3.4.5 Beam Recovery -- 7.3.4.6 Uplink Beam Management -- 7.4 Experimental Results -- 7.4.1 Beam-Forming Gain -- 7.4.2 Beam Tracking -- 7.4.3 System Simulations -- References -- 8 Channel Coding -- 8.1 Fundamental Limits of Forward Error Correction -- 8.1.1 The Binary AWGN Channel -- 8.1.2 Coding Schemes for the Binary-AWGN Channels -- 8.1.3 Performance Metrics -- 8.2 FEC Schemes for the Bi-AWGN Channel -- 8.2.1 Introduction -- 8.2.2 Some De nitions -- 8.2.3 LDPC Codes -- 8.2.3.1 Fundamentals of LDPC Codes -- 8.2.3.2 The LDPC-Code Solution Chosen for 5G NR -- 8.2.4 Polar Codes -- 8.2.4.1 Fundamentals of Polar Codes -- 8.2.4.2 The Polar-Code Solution Chosen for 5G NR -- Deterministic Reliability Ordering -- Parity-Check Coding -- Rate Adaptation -- 8.2.5 Other Coding Schemes for the Short-Blocklength Regime -- 8.2.5.1 Short Algebraic Linear Block Codes With Ordered-Statistics Decoding -- 8.2.5.2 Linear Block Codes With Tail-Biting Trellises -- 8.2.5.3 Nonbinary LDPC Codes -- 8.2.5.4 Performance -- 8.3 Coding Schemes for Fading Channels -- 8.3.1 The SISO Case -- 8.3.2 The MIMO Case -- References -- 9 Simulator -- 9.1 Simulator Overview -- 9.2 Functional Modules -- 9.2.1 Channel Model -- 9.2.2 Power Ampli er Model…”

Tabla de Contenidos: “…12.10 Summary 438 -- Appendix A Matrix Analysis 441 -- A.1 Vector Spaces and Hilbert Space 441 -- A.2 Transformations 443 -- A.3 Trace 444 -- A.4 Basics of C ∗-Algebra 444 -- A.5 Noncommunicative Matrix-Valued Random Variables 445 -- A.6 Distances and Projections 447 -- A.6.1 Matrix Inequalities 450 -- A.6.2 Partial Ordering of Positive Semidefinite Matrices 451 -- A.6.3 Partial Ordering of Hermitian Matrices 451 -- References 453 -- Index 511.…”

“…By restricting to Gaussian distributions, the optimal Bayesian filtering problem can be transformed into an algebraically simple form, which allows for computationally efficient algorithms. …”

“…In contrast to the few existing treatments, our approach highlights the algebraic structure underlying such systems and is based on Schwartz’s distributions (rather than functions). …”

“…This book discusses various concepts and theories of topology, including diffeomorphisms, immersions, Hausdorff spaces, cobordisms, homotopy theory, symplectic manifolds, topology of quantum field theory, algebraic varieties, dimension theory, Koszul complexes, continuum theory, and metrizability, among others…”

“…With exhaustive theory to reinforce practical computations, the book delves into the concepts of errors in numerical computation, algebraic and transcendental equations, solution of linear system of equation, curve fitting, initial-value problem for ordinary differential equations, boundary-value problems of second order partial differential equations and solution of difference equations with constant coefficient…”

“…The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requiring high-performance computing. …”

“…You’ll discover dozens of examples, diagrams, and illustrations that break down the functional concepts you can apply in C++, including lazy evaluation, function objects and invokables, algebraic data types, and more. As you read, you’ll match FP techniques with practical scenarios where they offer the most benefit…”

“…We will explore using Scala's Breeze library for linear algebra, optimization, and signal processing. We will then proceed to the Saddle library for data analysis. …”

“…The book provides a comprehensive exploration of algebraic properties, operations, and theorems, emphasizing the application of these concepts to solve diverse problems. …”

“…Jean-Michel Maillet compares the experimental results on one dimensional magnetic chains to the theoretical predictions based on the algebraic Bethe Ansatz and related to quantum group symmetries that he actively developed with many collaborators. …”

“…To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. …”

“…The Italian mathematician Mario Pieri (1860-1913) played an integral part in the research groups of Corrado Segre and Giuseppe Peano, and thus had a significant, yet somewhat underappreciated impact on several branches of mathematics, particularly on the development of algebraic geometry and the foundations of mathematics in the years around the turn of the 20th century. …”

Tabla de Contenidos: “…Intro -- Title Page -- Copyright Page -- Brief Contents -- Contents in Detail -- Preface -- Acknowledgments -- Introduction -- A Brief History of R -- About This Book -- Part I: The Language -- Part II: Programming -- Part III: Statistics and Probability -- Part IV: Statistical Testing and Modeling -- Part V: Advanced Graphics -- For Students -- For Instructors -- Part I: The Language -- Chapter 1: Getting Started -- 1.1 Obtaining and Installing R from CRAN -- 1.2 Opening R for the First Time -- 1.2.1 Console and Editor Panes -- 1.2.2 Comments -- 1.2.3 Working Directory -- 1.2.4 Installing and Loading R Packages -- 1.2.5 Help Files and Function Documentation -- 1.2.6 Third-Party Editors -- 1.3 Saving Work and Exiting R -- 1.3.1 Workspaces -- 1.3.2 Scripts -- 1.4 Conventions -- 1.4.1 Coding -- 1.4.2 Math and Equation References -- 1.4.3 Exercises -- Exercise 1.1 -- Chapter 2: Numerics, Arithmetic, Assignment, and Vectors -- 2.1 R for Basic Math -- 2.1.1 Arithmetic -- 2.1.2 Logarithms and Exponentials -- 2.1.3 E-Notation -- Exercise 2.1 -- 2.2 Assigning Objects -- Exercise 2.2 -- 2.3 Vectors -- 2.3.1 Creating a Vector -- 2.3.2 Sequences, Repetition, Sorting, and Lengths -- Exercise 2.3 -- 2.3.3 Subsetting and Element Extraction -- Exercise 2.4 -- 2.3.4 Vector-Oriented Behavior -- Exercise 2.5 -- Chapter 3: Matrices and Arrays -- 3.1 Defining a Matrix -- 3.1.1 Filling Direction -- 3.1.2 Row and Column Bindings -- 3.1.3 Matrix Dimensions -- 3.2 Subsetting -- 3.2.1 Row, Column, and Diagonal Extractions -- 3.2.2 Omitting and Overwriting -- Exercise 3.1 -- 3.3 Matrix Operations and Algebra -- 3.3.1 Matrix Transpose -- 3.3.2 Identity Matrix -- 3.3.3 Scalar Multiple of a Matrix -- 3.3.4 Matrix Addition and Subtraction -- 3.3.5 Matrix Multiplication -- 3.3.6 Matrix Inversion -- Exercise 3.2 -- 3.4 Multidimensional Arrays -- 3.4.1 Definition…”

“…Conduct hypothesis testing and identify outliers. Apply linear algebra and regression techniques in machine learning. …”

“…In Introducing ReScript, you'll learn how to use features in ReScript that JavaScript lacks, such as type inference, null-safety, algebraic data types, pattern matching, and more. Along the way, you'll pick up functional programming concepts like immutability and higher-order functions. …”

“…Interested readers will find in this book the topics of image compression, groundwater quality, establishing the downscaling and spatio-temporal scale conversion models of NDVI, modelling and optimization of 3T fractional nonlinear generalized magneto-thermoelastic multi-material, algebraic fractals in steganography, strain induced microstructures in metals and much more. …”

“…Emch has been one of the pioneers of the C-algebraic approach to quantum and classical statistical mechanics. …”