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Secondary education --- Mexico

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This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing this approach. The authors start characterizing the ordinary differential equations in R^N which have a given set of partial integrals or first integrals. The results obtained are applied first to planar polynomial differential systems with a given set of such integrals, second to solve the 16th Hilbert problem restricted to generic algebraic limit cycles, third for solving the inverse problem for constrained Lagrangian and Hamiltonian mechanical systems, fourth for studying the integrability of a constrained rigid body. Finally the authors conclude with an analysis on nonholonomic mechanics, a generalization of the Hamiltonian principle, and the statement an solution of the inverse problem in vakonomic mechanics.

Calculus --- Mathematics --- Physical Sciences & Mathematics --- Inverse problems (Differential equations) --- Differential equations --- Numerical solutions. --- 517.91 Differential equations --- Differential Equations. --- Ordinary Differential Equations. --- Differential equations.

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Traditional strategy assumes stability and predictability. Today's world is better characterized by turbulence, uncertainty, novelty and ambiguity - conditions that contribute disruptive changes and trigger the search for new ways of coping. This book aims to become the premier guide on how to do scenario planning to support strategy and public policy. Co-authored by three experts in the field, the book presents The Oxford Scenario Planning Approach (OSPA). The approach is both intellectually rigorous and practical. Methodological choices and theoretical aspects in practice are detailed in reference to the relevant literatures and grounded in 6 case studies the authors have been involved with. The book makes several contributions to the field, centered on how learning with scenario planning is supported by re-framing and re-perception; how this iterative process can be embedded in corporate or government settings, and how it helps those that it supports to do well in today's world. The book is written in an accessible style and will be a useful introductory text as well as a useful guide for the more experienced scenario planning practitioner and scholar.

STRATEGIC PLANNING --- BUSINESS INTELLIGENCE --- BUSINESS PLANNING