“…Assuming no knowledge of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. …”
Acceso a las primeras páginas

Tabla de Contenidos: “…Invited Papers -- NNrepair: Constraint-based Repair of Neural Network Classifiers -- Balancing automation and control for formal verification of microprocessors -- Algebraic Program Analysis -- Programmable Program Synthesis -- Deductive Synthesis of Programs with Pointers: Techniques, Challenges, Opportunities -- AI Verification -- DNNV: A Framework for Deep Neural Network Verification -- Robustness Verification of Quantum Classifiers -- BDD4BNN: A BDD-based Quantitative Analysis Framework for Binarized Neural Networks -- Automated Safety Verification of Programs Invoking Neural Networks -- Scalable Polyhedral Verification of Recurrent Neural Networks -- Verisig 2.0: Verification of Neural Network Controllers Using Taylor Model Preconditioning -- Robustness Verification of Semantic Segmentation Neural Networks using Relaxed Reachability -- PEREGRiNN: Penalized-Relaxation Greedy Neural Network Verifier -- Concurrency and Blockchain -- Isla: Integrating full-scale ISA semantics and axiomatic concurrency models -- Summing Up Smart Transitions -- Stateless Model Checking under a Reads-Value-From Equivalence -- Gobra: Modular Specification and Verification of Go Programs -- Delay-Bounded Scheduling Without Delay! …”

Tabla de Contenidos: “…Mental Skills -- 1.1 Mental arithmetic and algebra -- 1.2 Direct and inverse procedures -- 1.3 Structural arithmetic -- 1.4 Pythagoras' Theorem -- 1.5 Visualisation -- 1.6 Trigonometry and radians -- 1.7 Regular polygons and regular polyhedra -- 1.8 Chapter 1: Comments and solutions -- II. …”

Tabla de Contenidos: “…3 Semantics of differentiation -- 4 Extending the language: variant and inductive types -- 5 Categorical analysis of forward AD and its correctness -- 6 A continuation-based AD algorithm -- 7 Discussion and future work -- References -- Deep Induction: Induction Rules for (Truly) Nested Types* -- 1 Introduction -- 2 The Key Idea -- 3 Extending to Nested Types -- 4 Theoretical Foundations -- 4.1 Categorical Preliminaries -- 4.2 Syntax and Semantics of ADTs -- 4.3 Induction Rules for ADTs -- 4.4 Syntax and Semantics of Nested Types -- 5 The General Methodology -- 6 Related Work and Directions for Further Investigation -- References -- Exponential Automatic Amortized Resource Analysis* -- 1 Introduction -- 2 Language and Cost Semantics -- 3 Automatic Amortized Resource Analysis -- 4 Exponential Potential -- 5 Mixed Potential -- 6 Exponentials, Polynomials, and Logarithms -- 7 Conclusion and Future Work -- References -- Concurrent Kleene Algebra with Observations: from Hypotheses to Completeness -- 1 Introduction -- 2 Preliminaries -- 3 Pomset contexts -- 4 Concurrent Kleene Algebra with Hypotheses -- 4.1 Reification -- 4.2 Factoring the exchange law -- 4.3 Lifting -- 5 Instantiation to CKA with Observations -- 6 Discussion -- References -- Graded Algebraic Theories -- 1 Introduction -- 2 Preliminaries -- 2.1 Enriched Category Theory -- 2.2 Graded Monads -- 2.3 Day Convolution -- 2.4 Categories Enriched in a Presheaf Category -- 3 Graded Algebraic Theories -- 3.1 Equational Logic -- 3.2 Free Models -- 3.3 Examples -- 4 Graded Lawvere Theories -- 5 Equivalence -- 5.1 Graded Algebraic Theories and Graded Lawvere Theories -- 5.2 Graded Lawvere theories and Finitary Graded Monads -- 6 Combining E ects -- 6.1 Sums -- 6.2 Tensor Products -- 7 Related Work -- 8 Conclusions and Future Work -- References…”

Tabla de Contenidos: “…B The Elementary Symmetric PolynomialsMathematical Notes; 2.2 Symmetric Polynomials; A The Fundamental Theorem; B The Roots of a Polynomial; C Uniqueness; Mathematical Notes; Historical Notes; 2.3 Computing with Symmetric Polynomials (Optional); A Using Mathematica; B Using Maple; 2.4 The Discriminant; Mathematical Notes; Historical Notes; References; 3 Roots of Polynomials; 3.1 The Existence of Roots; Mathematical Notes; Historical Notes; 3.2 The Fundamental Theorem of Algebra; Mathematical Notes; Historical Notes; References; PART II FIELDS; 4 Extension Fields…”

Tabla de Contenidos: “…-- 10 Various types of modeling used for finding correlations, designing structures, discovering contrasts, and making comparisons -- 11 A sense of place as fundamental to our thinking about models about equilibriums -- 12 Fenced-off and fenced-in equilibriums: Outside and inside boundaries and fences -- 13 The rhetoric and politics of standardization: Measurements and needs for precision -- 14 Simple-minded simplicity of simples -- 15 Rhetorical Unity in Narrative and Exposition -- 16 Boolean algebra, Tűring machines, and the Sheffer stroke function -- Appendix -- Bibliography -- List of Figures -- List of Tables -- Index…”

Tabla de Contenidos: “…Inverse Scattering to Determine the Shape of a Vocal Tract -- Positivity and the Existence of Unitary Dilations of Commuting Contractions -- The Infinite-dimensional Continuous Time Kalman-Yakubovich-Popov Inequality -- From Toeplitz Eigenvalues through Green’s Kernels to Higher-order Wirtinger-Sobolev Inequalities -- The Method of Minimal Vectors Applied to Weighted Composition Operators -- The Continuous Analogue of the Resultant and Related Convolution Operators -- Split Algorithms for Centrosymmetric Toeplitz-plus-Hankel Matrices with Arbitrary Rank Profile -- Schmidt-Representation of Difference Quotient Operators -- Algebras of Singular Integral Operators with Piecewise Continuous Coefficients on Weighted Nakano Spaces -- Pseudodifferential Operators with Compound Slowly Oscillating Symbols -- Extension of Operator Lipschitz and Commutator Bounded Functions -- On the Kernel of Some One-dimensional Singular Integral Operators with Shift -- The Fredholm Property of Pseudodifferential Operators with Non-smooth Symbols on Modulation Spaces -- On Indefinite Cases of Operator Identities Which Arise in Interpolation Theory -- Singular Integral Operators in Weighted Spaces of Continuous Functions with Oscillating Continuity Moduli and Oscillating Weights -- Poly-Bergman Spaces and Two-dimensional Singular Integral Operators -- Weak Mixing Properties of Vector Sequences…”

Tabla de Contenidos: “…d -- Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order -- A New Aspect of the L p-extension Problem for Inhomogeneous Differential Equations -- Continuity in Quasi-homogeneous Sobolev Spaces for Pseudo-differential Operators with Besov Symbols -- Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces -- Algebras of Pseudo-differential Operators with Discontinuous Symbols -- A Class of Quadratic Time-frequency Representations Based on the Short-time Fourier Transform -- A Characterization of Stockwell Spectra -- Exact and Numerical Inversion of Pseudo-differential Operators and Applications to Signal Processing -- On the Product of Localization Operators -- Gelfand-Shilov Spaces, Pseudo-differential Operators and Localization Operators -- Continuity and Schatten Properties for Toeplitz Operators on Modulation Spaces -- Microlocalization within Some Classes of Fourier Hyperfunctions…”

Tabla de Contenidos: “…SQL and Relational Alegebra I: The Original Operators; Chapter 7. SQL and Relational Algebra II: Additional Operators; Chapter 8. SQL and Constraints; Chapter 9. …”

Tabla de Contenidos: “…QuickCheck Testing for Fun and Profit -- A Constraint Programming Approach to Bioinformatics Structural Problems -- Rewriting Haskell Strings -- Instantly Turning a Naive Exhaustive Search into Three Efficient Searches with Pruning -- Algebraic Knowledge Discovery Using Haskell -- Applications, Implementation and Performance Evaluation of Bit Stream Programming in Erlang -- Automatic Incrementalization of Prolog Based Static Analyses -- Verification of Java Bytecode Using Analysis and Transformation of Logic Programs -- Combining Static Analysis and Profiling for Estimating Execution Times -- On Improving the Efficiency and Robustness of Table Storage Mechanisms for Tabled Evaluation -- Compiling Constraint Handling Rules for Efficient Tabled Evaluation -- Prolog Performance on Larger Datasets -- BAD, a Declarative Logic-Based Language for Brain Modeling -- From Zinc to Design Model -- Inductive Logic Programming by Instance Patterns -- ARMC: The Logical Choice for Software Model Checking with Abstraction Refinement -- The Joins Concurrency Library -- HPorter: Using Arrows to Compose Parallel Processes -- Coupled Schema Transformation and Data Conversion for XML and SQL -- Aspect-Oriented Programming in Higher-Order and Linear Logic -- Partial Evaluation of Pointcuts…”

Tabla de Contenidos: “…The creation and persistence of national schools : the case of Italian algebraic geometry / Aldo Brigaglia -- 10. Definability as a mathematical concept before and after Godel / Gabriele Lolli -- 11. …”

Tabla de Contenidos: “…Foreword, Gabriele Kaiser -- Practice-based Initial Teacher Education: Developing Inquiring Professionals, Glenda Anthony -- Mathematical experiments – an ideal first step into mathematics, Albrecht Beutelspacher -- Intersections of Culture, Language, And Mathematics Education: Looking Back And Looking Ahead, Marta Civil -- The Double Continuity in Algebra, Al Cuoco, William McCallum -- A Friendly Introduction to “Knowledge In Pieces”: Modeling Types of Knowledge and their roles in Learning, Andrea diSessa -- History of Mathematics, Mathematics Education, and the Liberal Arts, Michael N. …”

Tabla de Contenidos: “…1.13.2 Devising a Plan1.13.3 Carrying Out the Plan; 1.13.4 Looking Back; 1.14 A Note on Mathematical Rigor; Numbers; 2.1 Integers; 2.2 Primes; 2.3 Divisibility; 2.4 Rational Numbers; 2.5 Exponential Notation; 2.6 Powers of 10; 2.7 Binary Number System; 2.8 Infinity; Algebra; 3.1 Symbolic Variables; 3.2 Legal and Illegal Algebraic Manipulations; 3.3 Factor-Label Method; 3.4 Powers and Roots; 3.5 Logarithms; 3.6 The Quadratic Formula; 3.7 Imagining i; 3.8 Factorials, Permutations and Combinations; 3.9 The Binomial Theorem; 3.10 e is for Euler; Trigonometry; 4.1 What Use is Trigonometry?…”

Tabla de Contenidos: “…Problem solving and the art of the convincing argument; 3.1 Introduction; 3.2 Describing a problem in mathematical language; 3.3 Propositions and predicates; 3.4 Operations on propositions and predicates; 3.5 Equivalence; 3.6 Implication; 3.7 Making sweeping statements; 3.8 Other applications of predicates; 3.9 Summary; 3.10 Exercises; 4. Boolean algebra; 4.1 Introduction; 4.2 Algebra; 4.3 Boolean algebras; 4.4 Digital circuits; 4.5 Summary; 4.6 Exercises…”

Tabla de Contenidos:

“…En este libro las autoras facilitan al lector las herramientas disponibles en el paquete matemático Matlab para poder desarrollar y aplicar los contenidos de Análisis Matemático -de una y varias variables-, Álgebra y Estadística, que se precisan tanto en el estudio de las carreras de ciencias como en los técnicas. …”
Texto completo en Odilo

“…Fundamental Python skills are assumed, as well as some knowledge of machine learning and undergraduate-level calculus and linear algebra. No previous natural language processing experience required, although some background in NLP or computational linguistics will be helpful. …”

“…From there, Matt will teach you about relational algebra, tweaking dataframes, and joins. This video tutorial also covers filtering dataframes, grouping, serialization, plotting, and time series. …”

“…The book: Presents a comprehensive treatment of the MLFMA algorithm, including basic linear algebra concepts, recent developments on the parallel computation, and a number of application examples Covers solutions of electromagnetic problems involving dielectric objects and perfectly-conducting objects Discusses applications including scattering from airborne targets, scattering from red blood cells, radiation from antennas and arrays, metamaterials etc. …”

“…He shows process operators how to go beyond memorizing rules and formulas to understand the underlying science and physical laws, so they can accurately interpret anomalies and respond appropriately when exact rules or calculation methods don’t exist. Using simple algebra and non-technical analogies, Griffith explains each idea and technique without calculus. …”