“…"The scope of the journal covers algebraic geometry in a broad sense, including complex or arithmetic geometry, algebraic groups and representation theory"--Website, viewed September 12, 2019.…”

Tabla de Contenidos: “…Condiciones de segundo orden -- Funciones implícitas -- Derivadas de las funciones implícitas -- Teorema de la función implícita -- El teorema de la envolvente -- Un ejemplo específico -- Un arduo planteamiento directo -- El atajo de la envolvente -- El caso de muchas variables -- Maximización con restricciones -- El método del multiplicador lagrangiano -- El problema formal -- Condiciones de primer orden -- Interpretación del multiplicador lagrangiano -- El multiplicador lagrangiano como proporción de costos a beneficios -- El teorema de la envolvente en problemas de maximización con restricciones -- Restricciones de desigualdad -- Un ejemplo con dos variables -- Variables de holgura -- Solución con el método de Lagrange -- Flexibilidad complementaria -- Condiciones de segundo orden -- Funciones con una variable -- Funciones con dos variables -- Un argumento intuitivo -- Un análisis formal -- Funciones cóncavas -- Maximización con restricciones -- Funciones cuasi cóncavas -- Funciones homogéneas -- Homogeneidad y derivadas -- Teorema de Euler -- Funciones homotéticas -- Resumen -- Problemas -- Lecturas Recomendadas -- Ampliaciones Condiciones de segundo orden y álgebra matricial -- PARTE 2 ELECCIÓN Y DEMANDA -- Capítulo 3 PREFERENCIAS Y UTILIDAD -- Axiomas de la elección racional -- Utilidad -- Ausencia de unicidad en las mediciones de la utilidad -- El supuesto ceteris paribus -- Utilidad derivada del consumo de bienes -- Argumentos de las funciones de utilidad -- DEFINICIÓN Utilidad. -- Bienes económicos -- Intercambios y sustitución -- Curvas de indiferencia y tasa marginal de sustitución -- DEFINICIÓN Curva de indiferencia. -- DEFINICIÓN Tasa marginal de sustitución. -- Mapa de curvas de indiferencia -- Curvas de indiferencia y transitividad -- Convexidad de las curvas de indiferencia -- Convexidad y equilibrio en el consumo…”

Tabla de Contenidos: “…4.6.1 Direction as a Trend -- 4.6.2 Validity of Operations -- 4.6.3 The Meaning of Improper OFNs -- 4.7 Summary and Further Intuitions -- References -- 5 Processing Direction with Ordered Fuzzy Numbers -- 5.1 Introduction -- 5.2 Direction Measurement Tool -- 5.2.1 The PART Function -- 5.2.2 The Direction Determinant -- 5.3 Compatibility Between OFNs -- 5.4 Inference Sensitive to Direction -- 5.4.1 Directed Inference Operation -- 5.4.2 Examples -- 5.5 Aggregation of OFNs -- 5.5.1 The Aggregation's Basic Properties -- 5.5.2 Arithmetic Mean Directed Aggregation -- 5.5.3 Aggregation for Premise Parts of Fuzzy Rules -- 5.6 Summary -- References -- 6 Comparing Fuzzy Numbers Using Defuzzificators on OFN Shapes -- 6.1 Introduction -- 6.2 Formal Approach to the Problem -- 6.3 Defuzzification Methods -- 6.3.1 Defuzzification Methods for OFN -- 6.4 Definition of Golden Ratio Defuzzification Operator -- 6.4.1 Golden Ratio for OFN -- 6.5 Golden Ratio -- 6.6 Defuzzification Conditions for GR -- 6.6.1 Normalization -- 6.6.2 Restricted Additivity -- 6.6.3 Homogeneity -- 6.7 Definition of Mandala Factor Defuzzification Operator -- 6.8 Mandala Factor -- 6.9 Defuzzification Conditions for MF -- 6.9.1 Normalization -- 6.9.2 Restricted Additivity -- 6.9.3 Homogeneity -- 6.10 Catalogue of the Shapes of Numbers in OFN Notation -- 6.11 Conclusion -- References -- 7 Two Approaches to Fuzzy Implication -- 7.1 Introduction -- 7.2 Lattice Structure and Implications on SOFNs -- 7.2.1 Step-Ordered Fuzzy Numbers -- 7.2.2 Lattice on mathcalRK -- 7.2.3 Complements and Negation on calN -- 7.2.4 Fuzzy Implication on BSOFN -- 7.2.5 Applications -- 7.3 Metasets -- 7.3.1 The Binary Tree T and the Boolean Algebra mathfrakB -- 7.3.2 General Definition of Metaset -- 7.3.3 Interpretations of Metasets -- 7.3.4 Forcing -- 7.3.5 Set-Theoretic Relations for Metasets…”

Tabla de Contenidos: “…How to make mathematical statements Numbers, equations and functions -- 1.1 Qualitative and quantitative scales -- Habitat classifications -- 1.2 Numbers -- Observations of spatial abundance -- 1.3 Symbols -- Population size and carrying capacity -- 1.4 Logical operations -- 1.5 Algebraic operations -- Size matters in male garter snakes -- 1.6 Manipulating numbers -- 1.7 Manipulating units -- 1.8 Manipulating expressions -- Energy acquisition in voles -- 1.9 Polynomials -- The law of mass action in epidemiology -- 1.10 Equations -- 1.11 First order polynomial equations -- Population size and composition -- 1.12 Proportionality and scaling: a special kind of first order polynomial equation -- Simple mark-recapture -- Converting density to population size -- 1.13 Second and higher order polynomial equations -- Estimating the number of infected animals from the rate of infection -- 1.14 Systems of polynomial equations -- Deriving population structure from data on population size -- 1.15 Inequalities -- Minimum energetic requirements in voles -- 1.16 Coordinate systems -- Non-Cartesian map projections -- 1.17 Complex numbers -- 1.18 Relations and functions -- Food webs…”

Tabla de Contenidos: “…-- Types of temporal tables -- Allen's interval algebra -- Temporal constraints -- Temporal data in SQL Server before 2016 -- Optimizing temporal queries -- Temporal features in SQL:2011 -- System-versioned temporal tables in SQL Server 2017 -- How temporal tables work in SQL Server 2017 -- Creating temporal tables -- Period columns as hidden attributes -- Converting non-temporal tables to temporal tables…”

Tabla de Contenidos: “…-- 2-4 Output, Unemployment, and the Inflation Rate: Okun's Law and the Phillips Curve -- Okun's Law -- The Phillips Curve -- 2-5 The Short Run, the Medium Run, and the Long Run -- 2-6 A Tour of the Book -- The Core -- Extensions -- Back to Policy -- Epilogue -- Appendix: The Construction of Real GDP and Chain-Type Indexes -- The Short Run -- Chapter 3 The Goods Market -- 3-1 The Composition of GDP -- 3-2 The Demand for Goods -- Consumption (C) -- Investment (I) -- Government Spending (G) -- 3-3 The Determination of Equilibrium Output -- Using Algebra -- Using a Graph -- Using Words -- How Long Does It Take for Output to Adjust? …”

Tabla de Contenidos: “…Standard objects -- Custom objects -- Fields -- Standard fields -- Custom fields -- Object relationships -- Apps -- Standard apps -- Custom apps -- Subtab apps -- Tabs -- Hiding and showing tabs -- Standard tabs -- Custom tabs -- Renaming labels for standard tabs, standard objects, and standard fields -- Creating custom objects -- Object Limits -- Object Limits for standard objects -- Object Limits for custom objects -- Creating custom object relationships -- Creating custom fields -- Custom field data types -- Auto Number -- Checkbox -- Currency -- Date -- Date/Time -- Email -- Formula -- Geolocation -- Lookup relationship -- Master-detail relationship -- External lookup relationship -- Hierarchical relationship -- Number -- Percent -- Phone -- Picklist -- Picklist (Multi-select) -- Roll-up summary -- Text -- Text (Encrypted) -- Text Area -- Text Area (Long) -- Text Area (Rich) -- URL -- Dependent picklists -- Building relationship fields -- Lookup relationship options -- Master-detail relationship options -- Allow reparenting option -- Lookup filters -- Building formulas -- Basic formula -- Advanced formula -- Building formulas - best practices -- Formatting with carriage returns and spacing -- Commenting -- Building formula text and compiled character size limits -- Using algebra -- Formula field size limit workarounds -- Custom field governance -- Addressing the issue -- More generic field names -- Field history tracking -- Custom objects to store dated information -- Chatter -- Page layouts -- Creating and modifying a page layout -- Feed-based page layouts -- Feed Tracking -- Creating feed-based page layouts -- Feed View Options -- Enable Full-Width Feed View in the Console -- Enable Compact Feed View in the Console -- Highlight Externally Visible Feed Items -- Publisher options - Automatically Collapse Publisher -- Other Tools and Components…”

Tabla de Contenidos: “…. -- See also -- Chapter 2: Just Enough Linear Algebra for Machine Learning with Spark -- Introduction -- Package imports and initial setup for vectors and matrices -- How to do it... -- There's more... -- See also -- Creating DenseVector and setup with Spark 2.0 -- How to do it... -- How it works... -- There's more... -- See also -- Creating SparseVector and setup with Spark -- How to do it... -- How it works... -- There's more... -- See also -- Creating dense matrix and setup with Spark 2.0 -- Getting ready -- How to do it... -- How it works... -- There's more... -- See also -- Using sparse local matrices with Spark 2.0 -- How to do it... -- How it works... -- There's more... -- See also -- Performing vector arithmetic using Spark 2.0.…”

Tabla de Contenidos: “…Watanabe and the Japanese Yen Carry Trade -- Questions -- Problems -- Appendix: An Algebraic Primer to International Parity Conditions -- Chapter 7. …”

Tabla de Contenidos: “…Traits and Enums -- 6.1 Using a Trait as an Interface -- Problem -- Solution -- Discussion -- See Also -- 6.2 Defining Abstract Fields in Traits -- Problem -- Solution -- Discussion -- See Also -- 6.3 Using a Trait Like an Abstract Class -- Problem -- Solution -- Discussion -- See Also -- 6.4 Using Traits as Mixins -- Problem -- Solution -- Discussion -- See Also -- 6.5 Resolving Method Name Conflicts and Understanding super -- Problem -- Solution -- Discussion -- See Also -- 6.6 Marking Traits So They Can Only Be Used by Subclasses of a Certain Type -- Problem -- Solution -- Discussion -- See Also -- 6.7 Ensuring a Trait Can Only Be Added to a Type That Has a Specific Method -- Problem -- Solution -- Discussion -- 6.8 Limiting Which Classes Can Use a Trait by Inheritance -- Problem -- Solution -- Discussion -- 6.9 Working with Parameterized Traits -- Problem -- Solution -- Discussion -- 6.10 Using Trait Parameters -- Problem -- Solution -- Discussion -- 6.11 Using Traits to Create Modules -- Problem -- Solution -- Discussion -- See Also -- 6.12 How to Create Sets of Named Values with Enums -- Problem -- Solution -- Discussion -- See Also -- 6.13 Modeling Algebraic Data Types with Enums -- Problem -- Solution -- Discussion -- See Also…”

Tabla de Contenidos:

Tabla de Contenidos: “…Computing the largest/smallest value that is less/greater than or equal to the algebraic quotient -- 23. Getting integral and fractional parts from a double -- 24. …”

Tabla de Contenidos: “…Polynomial and Rational Functions -- 4.1 Polynomial Functions -- Identify Polynomial Functions and Their Degree -- Graph Polynomial Functions Using Transformations -- Identify the Real Zeros of a Polynomial Function and Their Multiplicity -- 4.2 Graphing Polynomial Functions -- Models -- Graph a Polynomial Function -- Graph a Polynomial Function Using a Graphing Utility -- Build Cubic Models from Data -- 4.3 Properties of Rational Functions -- Find the Domain of a Rational Function -- Find the Vertical Asymptotes of a Rational Function -- Find a Horizontal or an Oblique Asymptote of a Rational Function -- 4.4 The Graph of a Rational Function -- Graph a Rational Function -- Solve Applied Problems Involving Rational Functions -- 4.5 Polynomial and Rational Inequalities -- Solve Polynomial Inequalities -- Solve Rational Inequalities -- 4.6 The Real Zeros of a Polynomial Function -- Use the Remainder and Factor Theorems -- Use Descartes' Rule of Signs to Determine the Number of Positive and the Number of Negative Real Zeros of a Polynomial Function -- Use the Rational Zeros Theorem to List the Potential Rational Zeros of a Polynomial Function -- Find the Real Zeros of a Polynomial Function -- Solve Polynomial Equations -- Use the Theorem for Bounds on Zeros -- Use the Intermediate Value Theorem -- 4.7 Complex Zeros -- Fundamental Theorem of Algebra -- Use the Conjugate Pairs Theorem…”

“…Requiring no background in advanced algebraic geometry, the text serves as a modern introduction to the subject…”

“…In Practical Financial Optimization: A Library of GAMS Models, the authors provide a diverse set of models for portfolio optimization, based on the General Algebraic Modelling System. 'GAMS' consists of a language which allows a high-level, algebraic representation of mathematical models and a set of solvers - numerical algorithms - to solve them. …”

“…Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. …”

Tabla de Contenidos: “….) -- 3.12 IMPLEMENTACIÓN DE CIRCUITOS A PARTIR DE EXPRESIONES BOOLEANAS -- 3.13 CIRCUITOS COMBINACIONALES -- 3. 14 ALGEBRA BOOLEANA -- 3. 15 TEOREMAS DE BOOLE -- 3. 16 TEOREMAS DE DEMORGAN -- DESARROLLO DE COMPETENCIAS -- 3.17 CIRCUITOS LÓGICOS COMBINACIONALES -- 3.17.1 FORMA DE SUMA DE PRODUCTOS -- 3. 17.2 FORMA DE PRODUCTO DE SUMAS -- 3.18 SIMPLIFICACIÓN DE CIRCUITOS LÓGICOS -- 3.18. 1 SIMPLIFICACIÓN ALGEBRAICA -- DESARROLLO DE COMPETENCIAS -- 3. 19 DISEÑO DE CIRCUITOS LÓGICOS COMBINACIONALES -- 3.19.1 MÉTODO DE MAPAS DE KAMAUH (MAPA K) -- 3.19.2 ADYACENCIA -- 3.19.3 AGRUPAMIENTO -- 3.20 PROCESO DE SIMPLIFICACIÓN DE UNA EXPRESIÓN BOOLEANA -- 3.21 PROCESO COMPLETO DE SOLUCIÓN DE UN PROBLEMA, SIMPLIFICACIÓN E (...) -- DESARROLLO DE COMPETENCIAS…”

Tabla de Contenidos: “…Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Editor -- Contributors -- Chapter 1 Certain Banach-Space Operators Acting on Free Poisson Elements Induced by Orthogonal Projections -- 1.1 Introduction -- 1.2 Preliminaries -- 1.3 Some Banach *-Algebras Induced by Projections -- 1.4 Weighted-Semicircular Elements Induced by Q -- 1.5 Semicircular Elements Induced by Q -- 1.6 The Semicircular Filterization (L[sub(Q)], Ί) -- 1.7 Free Poisson Elements of L[sub(Q)] -- 1.7.1 Free Poisson Elements -- 1.7.2 Certain Free Poisson Elements Induced by S -- 1.7.3 Some Free Poisson Elements Induced by S U X -- 1.8 Free Weighted-Poisson Elements of L[sub(Q)] -- 1.8.1 Free Weighted-Poisson Elements -- 1.8.2 Free Weighted-Poisson Elements Induced by S U X -- 1.8.3 Free Weighted-Poisson Elements Induced by X -- 1.9 Shifts on Z and Integer-Shifts on L[sub(Q)] -- 1.9.1 (±)-Shifts on Z -- 1.9.2 Integer-Shifts on L[sub(Q)] -- 1.9.3 Free Probability on L[sub(Q)] Under the Group-Action of B -- 1.10 Banach-Space Operators on L[sub(Q)] Generated by B -- 1.10.1 Deformed Free Probability of L[sub(Q)] by A -- 1.10.2 Deformed Semicircular Laws on L[sub(Q)] by A -- 1.11 Deformed Free Poisson Distributions on L[sub(Q)] by A -- References -- Chapter 2 Linear Positive Operators Involving Orthogonal Polynomials -- 2.1 Operators Based on Orthogonal Polynomials -- 2.1.1 Notations -- 2.1.2 Definitions -- 2.1.3 Appell Polynomials -- 2.1.4 Boas-Buck-Type Polynomials -- 2.1.5 Charlier Polynomials -- 2.1.6 Approximation by Appell Polynomials -- 2.1.7 Approximation by Operators Including Generalized Appell Polynomials -- 2.1.8 Szász-Type Operators Involving Multiple Appell Polynomials -- 2.1.9 Kantorovich-Type Generalization of K[sub(n)] Operators -- 2.1.10 Kantorovich Variant of Szász Operators Based on Brenke-Type Polynomials…”

Tabla de Contenidos: “…Fundamental Statistical Definitions -- A.1 Random Variables -- A.2 Stochastic Processes -- A.2.1 Convergence in Probability -- A.2.2 Convergence in Distribution -- A.3 Key Theorems Concerning Stochastic Processes -- A.3.1 Law of Large Numbers -- A.3.2 Lindeberg-Lévy's Central Limit Theorem -- B. Matrix Algebra…”

Tabla de Contenidos: “…Intro -- Preface -- Organization -- Invited Talks -- How to Solve Math Problems Without Talent -- Bridging Formal Mathematics and Software Verification -- The Art of SMT Solving -- Contents - Part I -- Contents - Part II -- Contents - Part III -- Decision Procedures -- Split Gröbner Bases for Satisfiability Modulo Finite Fields -- 1 Introduction -- 1.1 Related Work -- 2 Background -- 3 Motivating Example -- 3.1 Verifying the Determinism of Num2Bits -- 3.2 The Challenge of Bit-Splitting -- 3.3 Cooperative Reasoning: A Path Forward -- 4 Approach -- 4.1 Split Gröbner bases -- 4.2 Abstract Procedure: Split -- 4.3 Concrete Procedure: BitSplit -- 5 Experiments -- 5.1 Benchmarks -- 5.2 Comparison to Prior Solvers -- 5.3 Comparison to Variants -- 6 Application -- 6.1 Background on Verifiable Field-Blasting -- 6.2 A New Strategy for Verifying Operator Rules -- 7 Conclusion -- A Additional Background -- B Computing Bitsum Usage in Real World Projects -- C Proof of Theorem 1 -- D Proof of Theorems 2 and 3 -- E Proof of Lemma 1 -- F The Seq Benchmark Family -- G Proof of Theorem 4 -- References -- Arithmetic Solving in Z3 -- 1 Introduction -- 2 Design Goals and Implementation Choices -- 3 Linear Real Arithmetic -- 3.1 Linear Solving -- 3.2 Finding Equal Variables - Cheaply -- 3.3 Bounds Propagation -- 4 Integer Linear Arithmetic -- 4.1 Patching -- 4.2 Cubes -- 4.3 GCD Consistency -- 4.4 Branching -- 4.5 Cuts -- 5 Non-linear Arithmetic -- 5.1 Patch Monomials -- 5.2 Bounds Propagation -- 5.3 Adding Bounds -- 5.4 Gröbner reduction -- 5.5 Incremental Linearization -- 5.6 NLSat -- 6 Shared Equalities -- 7 Evaluation -- 8 Summary and Discussion -- References -- Algebraic Reasoning Meets Automata in Solving Linear Integer Arithmetic -- 1 Introduction -- 2 Preliminaries -- 3 Classical Automata-Based Decision Procedure for LIA…”