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- Initial_condition abstract "In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0). For a system of order k (the number of time lags in discrete time, or the order of the largest derivative in continuous time) and dimension n (that is, with n different evolving variables, which together can be denoted by an n-dimensional coordinate vector), generally nk initial conditions are needed in order to trace the system's variables forward through time. In both differential equations in continuous time and difference equations in discrete time, initial conditions affect the value of the dynamic variables (state variables) at any future time. In continuous time, the problem of finding a closed form solution for the state variables as a function of time and of the initial conditions is called the initial value problem. A corresponding problem exists for discrete time situations. While a closed form solution is not always possible to obtain, future values of a discrete time system can be found by iterating forward one time period per iteration, though rounding error may make this impractical over long horizons.".
- Initial_condition wikiPageID "1186804".
- Initial_condition wikiPageLength "6963".
- Initial_condition wikiPageOutDegree "29".
- Initial_condition wikiPageRevisionID "634278608".
- Initial_condition wikiPageWikiLink Attractor.
- Initial_condition wikiPageWikiLink Basin_of_attraction.
- Initial_condition wikiPageWikiLink Butterfly_effect.
- Initial_condition wikiPageWikiLink Category:Differential_equations.
- Initial_condition wikiPageWikiLink Category:Recurrence_relations.
- Initial_condition wikiPageWikiLink Chaos_theory.
- Initial_condition wikiPageWikiLink Characteristic_value.
- Initial_condition wikiPageWikiLink Closed-form_expression.
- Initial_condition wikiPageWikiLink Closed_form_solution.
- Initial_condition wikiPageWikiLink Continuous_time.
- Initial_condition wikiPageWikiLink Convergence_(mathematics).
- Initial_condition wikiPageWikiLink Coordinate_vector.
- Initial_condition wikiPageWikiLink Difference_equation.
- Initial_condition wikiPageWikiLink Differential_equation.
- Initial_condition wikiPageWikiLink Dimension_(vector_space).
- Initial_condition wikiPageWikiLink Discrete_time.
- Initial_condition wikiPageWikiLink Discrete_time_and_continuous_time.
- Initial_condition wikiPageWikiLink Dynamic_systems.
- Initial_condition wikiPageWikiLink Dynamical_system.
- Initial_condition wikiPageWikiLink Eigenvalue.
- Initial_condition wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Initial_condition wikiPageWikiLink Initial_value_problem.
- Initial_condition wikiPageWikiLink Initialization_vector.
- Initial_condition wikiPageWikiLink Limit_(mathematics).
- Initial_condition wikiPageWikiLink Mathematics.
- Initial_condition wikiPageWikiLink Matrix_difference_equation.
- Initial_condition wikiPageWikiLink Newtons_method.
- Initial_condition wikiPageWikiLink Nonlinear_system.
- Initial_condition wikiPageWikiLink Order_(differential_equation).
- Initial_condition wikiPageWikiLink Recurrence_relation.
- Initial_condition wikiPageWikiLink Sensitive_dependence_on_initial_conditions.
- Initial_condition wikiPageWikiLink Simulation.
- Initial_condition wikiPageWikiLink Stability_(mathematics).
- Initial_condition wikiPageWikiLink Stability_theory.
- Initial_condition wikiPageWikiLink State_variable.
- Initial_condition wikiPageWikiLink Strange_attractor.
- Initial_condition wikiPageWikiLinkText "Initial condition".
- Initial_condition wikiPageWikiLinkText "initial condition".
- Initial_condition wikiPageWikiLinkText "initial values".
- Initial_condition wikiPageWikiLinkText "initial".
- Initial_condition wikiPageWikiLinkText "initialize".
- Initial_condition wikiPageWikiLinkText "seed values".
- Initial_condition hasPhotoCollection Initial_condition.
- Initial_condition wikiPageUsesTemplate Template:Reflist.
- Initial_condition wikiPageUsesTemplate Template:Rp.
- Initial_condition subject Category:Differential_equations.
- Initial_condition subject Category:Recurrence_relations.
- Initial_condition hypernym Value.
- Initial_condition type Company.
- Initial_condition comment "In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0).".
- Initial_condition label "Initial condition".
- Initial_condition sameAs Condition_initiale.
- Initial_condition sameAs m.0123r95b.
- Initial_condition sameAs Q18351510.
- Initial_condition sameAs Q18351510.
- Initial_condition wasDerivedFrom Initial_condition?oldid=634278608.
- Initial_condition isPrimaryTopicOf Initial_condition.