Tabla de Contenidos: “…2.2.7 Probabilities on uncountable sets2.2.8 Exercises; 2.3 Conditional probability; 2.3.1 Definition; 2.3.2 Bayes formula; 2.3.3 Exercises; 2.4 Inclusion-exclusion principle; 2.4.1 Exercises; Chapter 3 Random variables; 3.1 Random variables; 3.1.1 Definitions; 3.1.2 Expected value; 3.1.3 Functions of random variables; 3.1.4 Cavalieri formula; 3.1.5 Variance; 3.1.6 Markov and Chebyshev inequalities; 3.1.7 Variational characterization of the median and of the expected value; 3.1.8 Exercises; 3.2 A few discrete distributions; 3.2.1 Bernoulli distribution; 3.2.2 Binomial distribution…”

Tabla de Contenidos: “…3.3 Working with Excel Workbook -- 3.3.1 Creating an Excel Workbook -- 3.3.2 Opening an Existing Workbook -- 3.3.3 Saving Workbook -- 3.3.4 Closing a Workbook -- 3.4 Working with Worksheet -- 3.4.1 Entering Data in Cells -- 3.4.2 Navigating Through Cells -- 3.4.3 Naming of a Range of Cells -- 3.4.4 Editing a Worksheet -- 3.4.5 Using Cut, Copy, and Paste in Excel -- 3.4.6 Finding and Replacing Cells -- 3.4.7 Undo and Redo -- 3.5 Formulas and Functions -- 3.5.1 Functions -- 3.5.2 Using Auto Sum -- 3.5.3 Formulas -- 3.6 Inserting Charts -- 3.6.1 Creating Charts -- 3.6.2 Using Chart Toolbar -- 3.6.3 Saving a Chart -- 3.7 Sorting -- 3.8 Object Linking and Embedding (OLE ) -- 3.8.1 Inserting an Embedded Object in Excel Worksheet -- 3.8.2 Inserting a Linked Object in Excel -- 3.9 Importing Data -- 3.10 Inserting PivotTable -- 3.11 Printing in Excel -- 3.11.1 Setting Page Layout -- 3.11.2 Print Preview -- 3.11.3 Printing Worksheet -- 3.12 Advanced features of Microsoft Excel -- 3.12.1 Working with Multiple Worksheets and Workbooks -- 3.12.2 What-if Analysis -- 3.12.3 Working with Data Form -- 3.12.4 Working with Filters -- Let us Summarise -- Exercises -- Answers -- Chapter 4: Programming in C -- 4.1 Introduction -- 4.2 Evolution of C Language -- 4.3 Uses of C -- 4.4 Creating and Executing a Program Using C Language -- 4.5 Basic Structure of a C Program -- 4.6 Executing a Program Using Turbo C++ -- 4.7 C Character Set -- 4.8 Keywords -- 4.9 Identifiers -- 4.10 Constants -- 4.11 Data Types -- 4.11.1 Built-In Data Types -- 4.11.2 Derived Data Types -- 4.11.3 User-Defined Data Types -- 4.12 Variables -- 4.13 Operators and Expressions -- 4.13.1 T ypes of Operators -- 4.14 Header Files -- 4.15 Control Structures -- 4.15.1 Conditional Statements -- 4.15.2 Looping Statements -- 4.15.3 Jump Statements -- 4.16 Arrays -- 4.17 Pointers -- 4.17.1 Pointers and Arrays…”

Tabla de Contenidos: “…Intro -- 1 Introduction -- Geometric curvature energies: facts, trends, and open problems -- 2.1 Facts -- 2.2 Trends and open problems -- Bibliography -- On Möbius invariant decomposition of the Möbius energy -- 3.1 O'Hara's knot energies -- 3.2 Freedman-He-Wang's procedure and the Kusner-Sullivan conjecture -- 3.3 Basic properties of the Möbius energy -- 3.4 The Möbius invariant decomposition -- 3.4.1 The decomposition -- 3.4.2 Variational formulae -- 3.4.3 The Möbius invariance -- Bibliography -- Pseudogradient Flows of Geometric Energies -- 4.1 Introduction -- 4.2 Banach Bundles -- 4.2.1 General Fiber Bundles -- 4.2.2 Banach Bundles and Hilbert Bundles -- 4.3 Riesz Structures -- 4.3.1 Riesz Structures -- 4.3.2 Riesz Bundle Structures -- 4.3.3 Riesz Manifolds -- 4.4 Pseudogradient Flow -- 4.5 Applications -- 4.5.1 Minimal Surfaces -- 4.5.2 Elasticae -- 4.5.3 Euler-Bernoulli Energy and Euler Elastica -- 4.5.4 Willmore Energy -- 4.6 Final Remarks -- Bibliography -- Discrete knot energies -- 5.1 Introduction -- 5.1.1 Notation -- 5.2 Möbius Energy -- 5.3 Integral Menger Curvature -- 5.4 Thickness -- A.1 Appendix: Postlude in -convergence -- Bibliography -- Khovanov homology and torsion -- 6.1 Introduction -- 6.2 Definition and structure of Khovanov link homology -- 6.3 Torsion of Khovanov link homology -- 6.4 Homological invariants of alternating and quasi-alternating cobordisms -- Bibliography -- Quadrisecants and essential secants of knots -- 7.1 Introduction -- 7.2 Quadrisecants -- 7.2.1 Essential secants -- 7.2.2 Results about quadrisecants -- 7.2.3 Counting quadrisecants and quadrisecant approximations. -- 7.3 Key ideas in showing quadrisecants exist -- 7.3.1 Trisecants and quadrisecants. -- 7.3.2 Structure of the set of trisecants. -- 7.4 Applications of essential secants and quadrisecants -- 7.4.1 Total curvature -- 7.4.2 Second Hull…”

Tabla de Contenidos: “….) -- 3.3 COPIAR BLOQUE -- 3.4 BORRAR BLOQUE -- 3.5 COPIAR FÓRMULAS -- 3.6 REFERENCIAS RELATIVAS, ABSOLUTAS Y MIXTAS -- 3.7 NOMBRES PARA BLOQUES DE CELDAS -- 3.8 RELLENO AUTOMÁTICO DE DATOS -- 3.8.1 Listas para Autorrellenar -- 3.8.2 El controlador de relleno -- 3.9 PEGADO ESPECIAL -- 3.10 EJERCICIOS -- 3.10.1 Mover y copiar datos -- 3.10.2 Poner nombre a un rango -- 3.10.3 Referencias absolutas -- 3.10.4 Relleno automático de datos -- 4 FORMATOS -- 4.1 FORMATO DE CELDAS -- 4.2 FORMATO DE FILAS, DE COLUMNAS Y DE HOJAS -- 4.3 ELIMINAR FORMATOS -- 4.4 ESTILOS -- 4.5 FORMATOS CONDICIONALES -- 4.5.1 Creación de reglas -- 4.6 CONFIGURAR PÁGINA -- 4.7 EJERCICIOS -- 4.7.1 Formatos para Gastos -- 4.7.2 Plantilla para facturas -- 5 HERRAMIENTAS MÁS ÚTILES DE EXCEL -- 5.1 DESHACER Y REHACER -- 5.2 EL BOTÓN DERECHO DEL RATÓN -- 5.3 BÚSQUEDA Y REEMPLAZO AUTOMÁTICO DE DATOS -- 5.4 CORRECTOR ORTOGRÁFICO -- 5.5 AUTOCORRECCIÓN -- 5.6 ZOOM -- 5.7 COMENTARIOS -- 5.8 INSERCIÓN DE CELDAS Y HOJAS DE CÁLCULO -- 5.9 ELIMINAR CELDAS Y HOJAS DE CÁLCULO…”

Tabla de Contenidos: “…Buenas prácticas para la construcción de fórmulas -- 3.3.4. Buenas prácticas para la documentación del modelo -- SEGUNDA PARTE -- TÉCNICAS DE ANÁLISIS DE LOSMODELOS FINANCIEROS -- PREÁMBULO DE LA SEGUNDA PARTE -- PRESENTACIÓN DELMODELO BASE -- Solución del modelo base -- Resultados del modelo base -- CAPÍTULO 4 -- HERRAMIENTAS DEL EXCELPARA EL MODELAJEFINANCIERO -- 4.1. …”

Tabla de Contenidos: “…Recurrence and Generating Functions -- 2.1: Recursions -- 2.2: Generating Functions -- 2.3: Linear Constant Coefficient Recursions -- 2.4: Solving Homogeneous LCCRs Using Generating Functions -- 2.5: The Catalan Recursion -- 2.6: The Umbral Calculus -- 2.7: Exponential Generating Functions -- 2.8: Partitions of a Set: The Bell and Stirling Numbers -- 2.9: Rouché's Theorem and the Lagrange's Inversion Formula -- 3. Asymptotic Analysis -- 3.1: Growth Notation for Sequences -- 3.2: Asymptotic Sequences and Expansions -- 3.3: Saddle Points -- 3.4: Laplace's Method -- 3.5: The Saddle Point Method -- 3.6: When Will the Saddle Point Method Work? …”

Tabla de Contenidos: “…Consideraciones generales -- 3.11.3. Fórmulas -- 3.12. Controles -- 3.12.1. Distancia -- 3.12.2. …”

Tabla de Contenidos: “…CARACTERÍSTICA -- 3.20 FUENTE DE CORRIENTE -- 3.21 FUENTE DE INTENSIDAD REAL -- 3.22 TRANSFORMACIÓN DE FUENTES -- 3.23 EQUIVALENCIA ENTRE -- 3.24 GENERADORES DE TENSIÓN IGUALES -- 3.25 TEMPERATURA DE TRABAJO -- 3.26 PROTECCIÓN DE LAS LÍNEAS ELÉCTRICAS -- 3.27 CAÍDA DE TENSIÓN EN UNA LÍNEA -- 3.28 CÁLCULO DE UNA LÍNEA -- 3.29 PRODUCCIÓN DE CALOR POR ENERGÍA -- 3.30 RESUMEN DE CONCEPTOS Y FÓRMULAS -- 3.31 EJERCICIOS Y PROBLEMAS -- CAPÍTULO 4 -- 4.1 DEFINICIONES EN REDES -- 4.2 LEYES DE KIRCHHOFF -- 4.3 APLICACIÓN DE LAS LEYES DE KIRCHHOFF ENRESOLUCIÓN DE REDES -- 4.4 APLICACIÓN DE LAS LEYES DE KIRCHHOFF ENRESOLUCIÓN DE REDES -- 4.5 APLICACIÓN DE LAS LEYES DE KIRCHHOFF ENRESOLUCIÓN DE REDES -- 4.6 PRINCIPIO DE SUPERPOSICIÓN -- 4.7 TEOREMA DE THÉVENIN -- 4.8 TEOREMA DE NORTON -- 4.9 TRANSFORMACIÓN DE FUENTES -- 4.10 TEOREMA -- 4.11 TEOREMA DE RECIPROCIDAD -- 4.12 TEOREMA -- 4.13 TEOREMA -- 4.14 TEOREMA DE KENNELLY -- 4.15 TEOREMA DE LA MÁXIMA TRANSFERENCIA -- 4.16 RÉGIMEN TRANSITORIO Y RÉGIMEN -- 4.17 REGÍMENES TRANSITORIOS -- 4.18 REGÍMENES TRANSITORIOS -- 4.19 RESUMEN COMPARATIVO DE LOS ELEMENTOS -- 4.20 RESUMEN DE CONCEPTOS -- CAPÍTULO 5 -- 5.1 ELECTROMAGNETISMO -- 5.2 MAGNETISMO. …”

Tabla de Contenidos: “….) -- II DE LA NATURALEZA DE LA FE. ― FÓRMULA (...) -- III DE LOS DONES DEL ESPÍRITU SANTO (...) -- IV PRECEPTOS CONCERNIENTES A LA FE. ― LA (...) -- V DE LA VIRTUD DE LA ESPERANZA. ― VICIOS (...) -- VI DEL DON DE TEMOR CORRESPONDIENTE A LA (...) -- VII DE LOS PRECEPTOS RELATIVOS A LA ESPERANZA -- VIII NATURALEZA DE LA CARIDAD. ― ACTO (...) -- IX DE LOS EFECTOS DE LA CARIDAD: ALEGRÍA (...) -- X DE LOS VICIOS OPUESTOS A LA CARIDAD Y (...) -- XI DE LOS PRECEPTOS RELATIVOS A LA CARIDAD -- XII DEL DON DE SABIDURÍA CORRESPONDIENTE (...) -- XIII DE LAS VIRTUDES MORALES. ― LA PRUDENCIA: (...) -- XIV DEL DON DE CONSEJO CORRESPONDIENTE (...) -- XV DE LOS VICIOS OPUESTOS A LA PRUDENCIA: (...) -- XVI DE LOS PRECEPTOS RELATIVOS A LA PRUDENCIA -- XVII DE LA VIRTUD DE LA JUSTICIA. ― EL (...) -- XVIII DEL JUICIO COMO ACTO DE LA JUSTICIA (...) -- XIX ESPECIES DE LA JUSTICIA PARTICULAR: (...) -- XX DE LA RESTITUCIÓN COMO ACTO DE LA JUSTICIA (...) -- XXI DE LA ACEPCIÓN DE PERSONAS, VICIO OPUESTO (...) -- XXII DEL DERECHO DE PROPIEDAD Y DEBERES (...) -- XXIII PECADOS DE PALABRA CONTRA LA VIRTUD (...) -- XXIV PECADOS DE PALABRA EN LOS ACTOS (...) -- XXV PECADOS QUE SE COMETEN ENGAÑANDO AL (...) -- XXVI COMPONENTES DE LA VIRTUD DE LA JUSTICIA -- (...) -- XXVII DE LAS VIRTUDES ANEJAS A LA JUSTICIA: (...) -- XXVIII NATURALEZA DE LA VIRTUD DE LA RELIGIÓN -- XXIX ACTOS INTERIORES DE LA RELIGIÓN. ― (...) -- XXX ACTOS EXTERIORES DE LA RELIGIÓN: (...)…”

Tabla de Contenidos: “…Competitive Examination Questions -- Chapter 3: Power System Network Matrices-2 -- 3.1 Introduction -- 3.2 Partial Network -- 3.3 Case Studies in Zbus Algorithm -- 3.4 Algorithm for Formation of Bus Impedance Matrix-No Mutual Coupling between the Elements -- 3.4.1 Type-1 Modification -- 3.4.2 Type-2 Modification -- 3.4.3 Type-3 Modification -- 3.4.4 Type-4 Modification -- 3.4.5 MATLAB Program for Zbus Formation -- 3.5 Algorithm for the Formation of Zbus- Consideration of Mutually Coupled Elements -- 3.5.1 Type-1 and Type-2 Modifications -- 3.5.2 Type-3 and Type-4 Modifications -- 3.5.3 Summary of Formulas -- 3.6 Modifications In Zbus for Changes in the Network -- Questions from Previous Question Papers -- Competitive Examination Questions -- Chapter 4: Power Flow Studies-1 -- 4.1 Introduction -- 4.1.1 Basic Applications of Power Flow Studies and its Significance in Power System Operation and Control: -- 4.1.2 Data Preparation: -- 4.2 Network Modelling -- 4.3 Mathematical Modelling -- 4.3.1 Mathematical Model for Stage-1 Quantities -- 4.3.2 Mathematical Modeling for Stage-2 Quantities -- 4.4 Gauss-Seidel Iterative Method -- 4.5 Classification of Buses -- 4.5.1 PQ Bus or Load Bus -- 4.5.2 PV Bus or Generator Bus -- 4.5.3 Voltage Controlled Buses -- 4.5.4 Slack Bus/Swing Bus/Reference Bus -- 4.6 Case Studies in Power Flow Problem -- 4.7 Algorithm for Power Flow Solution by the Gauss-Seidel Method -- 4.7.1 Case-1: GS Method to obtain Bus Quantities when the PV Buses are Absent -- 4.7.2 Case-2: GS Method to obtain Bus Quantities when the PV Buses are Present -- 4.7.3 Flow Chart: Power Flow Solution by GS Method -- 4.8 Conclusion -- Questions from Previous Question Papers -- Competitive Examination Questions -- Chapter 5: Power Flow Studies-2 -- 5.1 Introduction -- 5.2 Newton-Raphson Method -- 5.2.1 NR Method for Single-Valued Functions…”

Tabla de Contenidos: “…2.72-2.73 Combinations of logarithms and algebraic functions -- 2.74 Inverse hyperbolic functions -- 2.75 Logarithms and exponential functions -- 2.8 Inverse Trigonometric Functions -- 2.81 Arcsines and arccosines -- 2.82 The arcsecant, the arccosecant, the arctangent and the arccotangent -- 2.83 Combinations of arcsine or arccosine and algebraic functions -- 2.84 Combinations of the arcsecant and arccosecant with powers of x -- 2.85 Combinations of the arctangent and arccotangent with algebraic functions -- 3-4 Definite Integrals of Elementary Functions -- 3.0 Introduction -- 3.01 Theorems of a general nature -- 3.02 Change of variable in a definite integral -- 3.03 General formulas -- 3.04 Improper integrals -- 3.05 The principal values of improper integrals -- 3.1-3.2 Power and Algebraic Functions -- 3.11 Rational functions -- 3.12 Products of rational functions and expressions that can be reduced to square roots of first-and second-degree polynomials -- 3.13-3.17 Expressions that can be reduced to square roots of third-and fourth-degree polynomials and their products with ration -- 3.18 Expressions that can be reduced to fourth roots of second-degree polynomials and their products with rational functions -- 3.19-3.23 Combinations of powers of x and powers of binomials of the form (α+βx) -- 3.24-3.27 Powers of x, of binomials of the form α+βxp and of polynomials in x -- 3.3-3.4 Exponential Functions -- 3.31 Exponential functions -- 3.32-3.34 Exponentials of more complicated arguments -- 3.35 Combinations of exponentials and rational functions -- 3.36-3.37 Combinations of exponentials and algebraic functions -- 3.38-3.39 Combinations of exponentials and arbitrary powers -- 3.41-3.44 Combinations of rational functions of powers and exponentials -- 3.45 Combinations of powers and algebraic functions of exponentials…”

Tabla de Contenidos: “…3.1 Representing Chemistry on Different Levels -- 3.2 Balancing Chemical Equations -- 3.3 Molecular Weight and Molar Mass -- 3.4 Stoichiometry: Relating Amounts of Reactants and Products -- 3.5 Yields of Chemical Reactions -- 3.6 Reactions with Limiting Amounts of Reactants -- 3.7 Percent Composition and Empirical Formulas -- 3.8 Determining Empirical Formulas: Elemental Analysis -- 3.9 Determining Molecular Weights: Mass Spectrometry -- INQUIRY? …”

Tabla de Contenidos: “…3.3 Decidability and Finite Counterexamples via EPR -- 4 Invariant Inference -- 5 Designing mypyvy's Internals -- 6 Works Using mypyvy -- 7 Related Work -- References -- Efficient Implementation of an Abstract Domain of Quantified First-Order Formulas -- 1 Introduction -- 2 Background -- 3 Subsumption-Based Representation of Sets of Formulas -- 3.1 Bounded First-Order Languages -- 3.2 Syntactic Subsumption -- 3.3 Canonicalization -- 3.4 Representing Sets of Formulas -- 4 The Weaken Operator -- 4.1 Weakening a Single Canonical Formula -- 4.2 Weakening Sets of Formulas -- 4.3 Design Consideration and Tradeoffs -- 5 Data Structure for Sets of Formulas -- 6 Implementation and Evaluation -- 6.1 Implementation -- 6.2 Experiments -- 6.3 Results -- 7 Related Work -- 8 Conclusion -- References -- Verifying Cake-Cutting, Faster -- 1 Introduction -- 2 Cake-Cutting Preliminaries -- 3 Language and Type System -- 3.1 Syntax of Base Slice -- 3.2 A Linear Type System for Slice -- 3.3 Semantics -- 3.4 Disjointness -- 4 Constraints -- 5 Piecewise Uniform Reduction -- 5.1 Replicating Protocol Executions -- 5.2 Piecewise Uniform Valuations -- 5.3 Piecewise Uniform Replacement -- 6 Implementation and Evaluation -- 7 Related and Future Work -- References -- Runtime Verification and Monitoring -- General Anticipatory Runtime Verification -- 1 Introduction -- 2 Lola Monitoring Revisited -- 2.1 Recurrent Monitoring -- 2.2 Lola -- 3 Lola Recurrent Online Monitoring Semantics -- 4 An Abstraction Framework for Lola Monitoring -- 5 Abstraction-Based Recurrent Lola Monitoring -- 6 Symbolic Recurrent Lola Monitoring -- 7 Empirical Evaluation -- 8 Conclusion -- References -- Proactive Real-Time First-Order Enforcement -- 1 Introduction -- 2 Preliminaries -- 3 Proactive, Real-Time, First-Order Enforcement -- 3.1 System Model -- 3.2 Enforcers -- 4 Enforceable MFOTL Formulae…”

Tabla de Contenidos: “…Front Cover -- Visualizing More Quaternions -- Copyright -- Contents -- Preface -- Biography -- 1 Review -- 1 Introduction -- 1.1 Introductory remarks -- 1.2 Hamilton's walk -- 1.3 Philosophical thoughts -- 2 Basic quaternion formulas -- 3 What are quaternions? -- 3.1 Quaternions are extended complex numbers -- 3.2 Quaternions are two-by-two matrices -- 3.3 Quaternions are a complexified pair of complex numbers -- 3.4 Quaternions are the group SU(2) -- 3.5 Quaternion actions can be realized in complex projective space -- 3.6 Quaternions are one of the four normed division algebras -- 3.7 Quaternions are a special case of Clifford algebras -- 3.8 Quaternions are points on the 3-sphere S3 -- 3.9 Synopsis -- 4 What is quaternion visualization? …”

Tabla de Contenidos: “…EFICIENCIA DE LAS HERRAMIENTAS SELECCIONADAS (TWEETS NEGATIVOS) -- ÍNDICE DE FÓRMULAS -- FÓRMULA 3.1. ASIGNACIÓN DE LA CLASE PARA TEXTOS CON NAIVE BAYES. -- FÓRMULA 5.1. …”

Tabla de Contenidos: “…Comparison of Radiation Formulas -- 3.5. Near and Far Field -- 3.5.1. Three-Dimensional Near Field -- 3.5.2. …”