Tabla de Contenidos: “…Ars Magna (The Great Art) -- Two Tales of Galileo -- Christiaan Huygens and Pendulum Clocks -- Secrets of the Cycloid -- Blaise Pascal -- The Beginnings of Higher Geometry -- Leonhard Euler -- Joseph Louis Lagrange -- Pierre-Simon Laplace -- Prince of Mathematicians -- Felix Klein -- The Magic World of Henri Poincaré -- The Enigma of Ramanujan -- On the Advantages of Coordinates and the Art of Chaining Hyperboloids -- The Complex World of Roger Penrose…”

Tabla de Contenidos: “…7 MODELO DINÁMICO DE NEWTON-EULER -- 7.1 CONCEPTOS FUNDAMENTALES -- 7.1.1 Construcción del diagrama de cuerpo libre -- 7.1.2 Término giroscópico -- 7.1.3 Planteamiento base del método de Newton-Euler -- 7.1.4 Movimiento relativo entre sistemas coordenados -- 7.1.5 Bases cinemáticas en el planteamiento Newton-Euler -- 7.2 PLANTEAMIENTO CENTRAL NEWTON-EULER -- 7.2.1 Expresiones de fuerza y torque para el centro de masa -- 7.2.2 Redefinición de los vectores en un eslabón -- 7.2.3 Fuerzas y torque total sobre el centro de masa -- 7.3 ENSAMBLADO DEL MÉTODO NEWTON-EULER -- 7.3.1 Descripción del método (...) -- 7.3.2 Método NE (...) -- 7.4 MÉTODO NE (...) -- 7.5 IMPLEMENTACIÓN RECURSIVA DEL MÉTODO -- 7.5.1 Recursión hacia adelante -- 7.5.2 Recursión hacia atrás -- 7.5.3 Comentarios finales del método recursivo -- 7.6 EL MÉTODO NEWTON-EULER EN MATLAB© -- 7.6.1 Implementación del método NE recursivo -- 7.6.2 Cálculo de la matriz de inercia en Matlab© -- 7.6.3 Cálculo del torque inercial en Matlab© -- 7.6.4 Torque de efectos centrífugos y Coriolis en Matlab -- 7.7 SIMULACIÓN DE LOS EFECTOS DE FRICCIÓN -- 7.8 DINÁMICA DIRECTA VS. …”

Tabla de Contenidos: “…Kinetic Equations: From Newton to Boltzmann -- The Navier-Stokes and Euler Equations — Fluid and Gas Dynamics -- Granular Material Flows -- Chemotactic Cell Motion and Biological Pattern Formation -- Semiconductor Modeling -- Free Boundary Problems and Phase Transitions -- Reaction-Diffusion Equations — Homogeneous and Heterogeneous Environments -- Optimal Transportation and Monge-Ampère Equations -- Wave Equations -- Digital Image Processing and Analysis — PDEs and Variational Tools -- Socio-Economic Modeling…”

Tabla de Contenidos: “…1 Prerequisites 2 Theory of Divisibility 3 Prime Numbers 4 Theory of Congruences 5 Fermat's Little Theorem 6 Arithmetic Functions 6.1 Introduction 7 Euler's Generalization and -- function 145 8 Primitive Roots 9 Theory of Quadratic Residues 10 Integers of Special Forms 11 Continued Fractions 12 Few Non-Linear Diophantine Equations 13 Integers as Sums of Squares 14 Certain Applications on Number Theory…”

Tabla de Contenidos: “…The Essentials of Discrete Volume Computations -- The Coin-Exchange Problem of Frobenius -- A Gallery of Discrete Volumes -- Counting Lattice Points in Polytopes:The Ehrhart Theory -- Reciprocity -- Face Numbers and the Dehn—Sommerville Relations in Ehrhartian Terms -- Magic Squares -- Beyond the Basics -- Finite Fourier Analysis -- Dedekind Sums, the Building Blocks of Lattice-point Enumeration -- The Decomposition of a Polytope into Its Cones -- Euler—Maclaurin Summation in ?d -- Solid Angles -- A Discrete Version of Green’s Theorem Using Elliptic Functions…”

Tabla de Contenidos: “…Intro -- Prólogo -- Integral indefinida inmediata -- Introducción -- Antiderivada -- Integral indefinida -- Propiedades de la integral indefinida -- Fórmulas básicas de integración -- Actividad 1 -- Preguntas sobre teoría -- Ejercicios -- Integración por sustitución de la variable -- Introducción -- Integración por sustitución de la variable (cambio de variable) -- Consideraciones para la aplicación de la técnica del cambio de variable -- Actividad 2 -- Preguntas sobre teoría -- Ejercicios -- Integración por partes -- Introducción -- Fórmula de integración por partes -- Integración tabular -- Actividad 3 -- Preguntas sobre teoría -- Ejercicios -- Integración de potencias trigonométricas -- Introducción -- Integrales que incluyen potencias de seno y coseno -- Integrales de la forma sennxdx o cosnxdx, donde n es un entero positivo -- Integrales de la forma senmxcosnxdx -- Integrales que incluyen potencias de tangente, cotangente, secante y cosecante -- Integrales de la forma tanmxdx, cotmxdx, secmxdx y cscmxdx -- Integrales de la forma tanm xsecn xdx o cotm xcscn xdx -- Integrales de productos de senos y cosenos con diferente argumento -- Actividad 4 -- Preguntas sobre teoría -- Ejercicios -- Integración por sustitución trigonométrica -- Introducción -- Sustitución trigonométrica -- Actividad 5 -- Preguntas sobre teoría -- Ejercicios -- Integración por fracciones parciales -- Introducción -- Integración por fracciones parciales -- Actividad 6 -- Preguntas sobre teoría -- Ejercicios -- Sustituciones diversas -- Introducción -- Técnica de sustitución por la tangente del ángulo medio -- Técnica de racionalización de funciones irracionales -- Técnica de sustitución de Euler -- Primera sustitución de Euler -- Segunda sustitución de Euler -- Tercera sustitución de Euler -- Técnica alemana de reducción -- Técnica de integrales binomias -- Actividad 7.…”

Tabla de Contenidos: “…Une nouvelle interprétation de la formule des traces de Selberg -- Jacobiennes généralisées globales relatives -- Catégories tannakiennes -- On The Adic Formalism -- F-Isocrystals on Open Varieties Results and Conjectures -- Représentations p-adiques des corps locaux (1ère partie) -- Rectified Homotopical Depth and Grothendieck Conjectures -- Automorphisms of Pure Sphere Braid Groups and Galois Representations -- Ordinarité des intersections complètes générates -- Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra -- Euler Systems -- Descent for Transfer Factors…”

Tabla de Contenidos: “…Introduction / The medieval inheritance / Martin Luther / Huldrych Zwingli and Heinrich Bullinger / Carrie Euler -- Martin Bucer / John Calvin / Anabaptist theologies of the Eucharist / Anglican theologies of the Eucharist / The Council of Trent / Catholic liturgies of the Eucharist in the time of reform / From sacrifice to supper: Eucharist practice in the Lutheran Reformation / Reformed liturgical practices / Anabaptist liturgical practices / Anglican liturgical practices / The Spanish New World / Sites of the Eucharist / A view of the Eucharist on the eve of the Protestant Reformation / The Lutheran tradition / Reformed / The sounds of eucharistic culture / Sacramental poetics / Enlightenment aesthetics and the eucharistic sign: Lessing's Laocoön…”
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“…Das Studium spezieller Werte von L-Funktionen hat eine lange Geschichte in der Zahlentheorie, welche bis zu Kummer und Euler zurückgeht. Gegenstand dieser Arbeit ist das Studium spezieller Werte von Rankin-Selberg-Faltungen kohomologischer cuspidaler automorpher Darstellungen auf GL(n) und GL(n-1) über einem beliebigen Zahlkörper und eine hieraus abgeleitete Konstruktion eines p-adischen Maßes, welches im Sinne Mazurs einer p-adischen L-Funktion entspricht…”

“…In order to establish general principles in the topic of motion planning for fully-automated driving, an intuitive problem statement in the form of an Euler–Lagrange Model is derived and transformed into a corresponding Hidden Markov Model for global optimization. …”

Tabla de Contenidos: “…Chapter 6: Numerical Methods for Ordinary Differential Equations6.1 The Initial Value Problem: Background; 6.2 Euler's Method; 6.3 Analysis of Euler's Method; 6.4 Variants of Euler's Method; 6.5 Single-Step Methods: Runge-Kutta; 6.6 Multistep Methods; 6.7 Stability Issues; 6.8 Application to Systems of Equations; 6.9 Adaptive Solvers; 6.10 Boundary Value Problems; 6.11 Literature and Software Discussion; References; Chapter 7: Numerical Methods for the Solution of Systems of Equations; 7.1 Linear Algebra Review; 7.2 Linear Systems and Gaussian Elimination; 7.3 Operation Counts…”

Tabla de Contenidos: “…Extended Workshop Papers -- Active Semantic Relations in Layered Enterprise Architecture Development -- A Belief Update System Using an Event Model for Location of People in a Smart Home -- A Natural Language Generation Technique for Automated Psychotherapy -- Creative Composition Problem: A Knowledge Graph Logical-based AI Construction and Optimization Solution -- Set Visualisations with Euler and Hasse Diagrams -- Usage Patterns Identification Using Graphs and Machine Learning -- Collaborative Design and Manufacture: Information Structures for Team Formation and Coordination -- Invited Additional Contributions -- Approximate Knowledge Graph Query Answering: From Ranking to Binary Classification -- Galois Connections for Patterns: An Algebra of Labelled Graphs…”

Tabla de Contenidos: “…part I Theme: The Basics -- chapter 1 Counting and Proofs -- chapter 2 Sets and Logic -- chapter 3 Graphs and Functions -- chapter 4 Induction -- chapter 5 Algorithms with Ciphers -- part II Theme: Combinatorics -- chapter 6 Binomial Coefficients and Pascal’s Triangle -- chapter 7 Balls and Boxes and PIE: Counting Techniques -- chapter 8 Recurrences -- chapter 9 Cutting Up Food: Counting and Geometry -- part Part III: Theme: Graph Theory -- chapter 10 Trees -- chapter 11 Euler’s Formula and Applications -- chapter 12 Graph Traversals -- chapter 13 Graph Coloring -- part Part IV: Other Material -- chapter 14 Probability and Expectation -- chapter 15 Fun with Cardinality…”

Tabla de Contenidos: “…Hamilton-Jacobi Theory -- 2.1. Euler-Lagrange equation -- 2.2. Legendre transformation -- 2.3. …”

Tabla de Contenidos: “…Nicholas of Cusa's sermon on the Pater Noster / Nancy Hudson and Frank Tobin -- Seeing and not seeing / Bernard McGinn -- Nicholas of Cusa's intellectual relationship to Anselm of Canterbury / Jasper Hopkins -- The question of pantheism from Eckhart to Cusanus / Louis Dupré -- The image of the living God / Wilhelm Dupré -- On the power and poverty of perspective / Karsten Harries -- An Italian painting from the late fifteenth century and the Cribratio alkorani of Nicholas of Cusa / Walter Andreas Euler -- A brief report on the painting of three haloed figures / Il Kim -- The concept of infallibility in Nicholas of Cusa / Thomas Prügl -- Empire meets nation / Cary J. …”
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Tabla de Contenidos: “…Connecting finite-dimensional, infinite-dimensional and higher geometry -- 7. Euler-Arnold theory: PDE via geometry -- 8. The geometry of rough paths; A. …”

Tabla de Contenidos: “…6.12 Algorithm and Sparse Matrix Implementation6.13 Differential and Algebraic Equations; *6.14 Inverse Dynamics; *6.15 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces; 7.7 Generalized Applied Forces; 7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 D'Alembert's Principle; 7.13 Linear and Angular Momentum; 7.14 Recursive Methods; Problems…”

Tabla de Contenidos: “…Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations -- On the order reduction of entropy stable DGSEMfor the compressible Euler equations -- A review of regular decompositions of vector fields – continuous, discrete, and structure-preserving -- Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition -- Recurrence relations for a family of orthogonal polynomials on a triangle -- Greedy kernel methods for center manifold approximation -- An improved error inhibiting block one-step method with radial basis function approximation for ODEs -- Hermite methods in time -- HPS accelerated spectral solvers for time dependent problems: algorithms -- On the use of hermite functions for the Vlasov-Poisson system -- HPS accelerated spectral solvers for time dependent problems: numerical experiments -- High-order finite element methods for interface problems: theory and implementations -- Stabilised hybrid discontinuous galerkin methods for the Stokes problem with non-standard boundary conditions -- RBF based CWENO method -- discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-div equations in curvilinear 3D domains -- A conservative hybrid method for Darcy flow -- High-order mesh generation based on optimal affine combinations of nodal positions -- Sparse spectral-element methods for the helically reduced Einstein equations -- Spectral analysis of isogeometric discretizations of 2D curl-div Problems with general geometry -- Performance of preconditioners for large-scale simulations using Nek5000 -- Two decades old entropy stable method for the Euler equations revisited -- A mimetic spectral element method for free surface flows -- Spectral/hp methodology study for iLES-SVV on an Ahmed body -- A high–order discontinuous Galerkin solver for multiphase flows -- High-Order propagation of jet noise on a tetrahedral mesh using large eddy simulation sources -- Dynamical degree adaptivity for DG-LES models -- A novel eight-order diffusive scheme for unstructured polyhedral grids using the weighted least-squares method -- An explicit mapped tent pitching scheme for Maxwell equations -- Viscous diffusion effects in the eigenanalysis of (hybridisable) DG methods -- Spectral Galerkin method for solving Helmholtz and Laplace Dirichlet problems on multiple open arcs -- Explicit polynomial Trefftz-DG method for space-time elasto-acoustics -- An hp-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems -- Erosion Wear evaluation using Nektar++ -- An inexact Petrov-Galerkin approximation for gas transport in pipeline networks -- New preconditioners for semi-linear PDE-constrained optimal control in annular geometries -- DIRK schemes with high weak stage order -- Scheme for evolutionary Navier-Stokes-Fourier system with temperature dependent material properties based on spectral/hp elements -- Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers -- SAV method applied to fractional Allen-Cahn equation -- A first meshless approach to simulation of the elastic behaviour of the diaphragm -- An explicit hybridizable discontinuous Galerkin method for the 3D timedomain Maxwell equations -- Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators -- Multiwavelet troubled-cell indication: a comparison of utilizing theory versus outlier detection -- An anisotropic p-adaptation multigrid scheme for discontinuous Galerkin methods -- A spectral element reduced basis method for Navier-Stokes equations with geometric variations -- Iterative spectral mollification and conjugation for successive edge detection -- Small trees for high order Whitney elements -- Non-conforming elements inNek5000: pressure preconditioning and parallel performance -- Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit -- On the convergence rate of Hermite-Fejer interpolation…”

Tabla de Contenidos: “…Conté: Jean le Rond D'Alembert, matemático y jefe del partido filosófico en la Francia ilustrada / Juan Arana -- Johannes Bernoulli y el carácter humano de la ciencia / Miguel Palomo -- Leonhard Euler, matemático excepcional y campeón de los creyentes / Juan Arana -- La mecánica analítica de J. …”

Tabla de Contenidos: “…Conté: Jean le Rond D'Alembert, matemático y jefe del partido filosófico en la Francia ilustrada / Juan Arana -- Johannes Bernoulli y el carácter humano de la ciencia / Miguel Palomo -- Leonhard Euler, matemático excepcional y campeón de los creyentes / Juan Arana -- La mecánica analítica de J. …”