Initial Condition definition of Initial Condition in the Free Online Encyclopedia.

initial condition [i′nish·əl kən′dish·ən]

(computer science)

(meteorology)

A prescription of the state of a dynamical system at some specified time; for all subsequent times the equations of motion and boundary conditions determine the state of the system; the appropriate synoptic weather charts, for example, constitute a (discrete) set of initial conditions for a forecast; in many contexts, initial conditions are considered as boundary conditions in the dimension of time.

Initial Condition

in the mathematical analysis of a process the state of the process at a given moment of time, taken as the initial moment. If the process is described by a differential equation, then the problem of finding solutions for a given initial condition is called the Cauchy problem. An initial condition for the equation

consists in specifying y, dy/dt, . . . , (d^n-1y)/dt^n-1 for a value t = t₀. If n = 2 and y = y(t) is the law of motion of a point mass, then the initial condition specifies the position and velocity of the point at the moment t = t₀ An initial condition for a partial differential equation is similarly defined. Thus, for the equation

of a free vibrating string, where u(t, x) is the deviation of the point x of the string at the moment t from the position of equilibrium on the x-axis, the initial condition specifies the initial shape uǀt = t₀ = f(x) of the string and the initial velocities δu/ δ/1,= t₀ of the points of the string. Any other argument may play the role of time. An initial condition is then specified for some value of that argument.

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No references found	Without this there is no real evidence of initial condition or of any change beyond normal wear and tear. If it's not on the inventory... it doesn't exist! by Coventry Evening Telegraph (England) 1999) have shown that more than one initial condition may be important for growth and macroeconomic performance in transition economies. Trade, foreign direct investment, and growth: evidence from ... by Nath, Hiranya K. / Comparative Economic Studies Life (and its evolution) depended on the physical evolution of the solar system--its initial condition was hopelessly inhospitable to organic organization. For both universe and life, only constant is change by Siegfried, Tom / Science News	inhibitor sweetening Inhibitors Inhibitors, Chemical inhibitory G protein inhibitory postsynaptic potential inhomogeneous line-broadening Inhospitality inhour inhour equation inhouse Inhul Inhulets INI file Inia Inigo and Gonsalve Inigo Jones Ining Iniomi inion INIT initgame initial initial aiming point initial backfill initial boiling point Initial Condition initial condition mode initial detention initial dip initial drying shrinkage initial free space initial grade initial graphics exchange specification initial great-circle course initial great-circle direction initial heading initial instructions initial inverse voltage initial landform initial lead initial line initial lock mechanism initial mass initial mass function Initial Microprogram Load initial nuclear radiation Initial Operational Test and Evaluation initial orders initial permeability initial potential initial prestress	Initial Calibration Verification Initial Call Origination Node Initial CAOC Capability Initial Capabilities Document Initial Capabilities Inspection Initial Capability Initial Capital, Lower Case Initial Cash Clothing Allowance Initial Cash Outlay Initial Cell Rate Initial Change Proposal Initial Circulating Pressure Initial Civilian Cash Clothing Allowance Initial Claims Review System Initial Clothing Monetary Allowance Initial Cluster Mass Function Initial Coating Layer Thickness Initial COHORT Unit Training Initial Command and Staff Course Initial Command Inspection Initial Commit Time Initial Communications Deception Initial Compound Muscle Action Potential Initial Conceptual Design Initial Condition initial condition mode Initial Configuration Initial Configuration Task Initial Confirmation Review Initial Connectivity Capability initial contact initial contact initial contact initial contact initial contact initial contact report initial contact stance stage Initial Contact Zone Initial Contract Award Proposal Evaluation and Analysis Initial Contract for Advance Procurement Initial Cost of Ownership Initial Crime Investigators' Development Programme Initial Crop Initial D Initial D Arcade Stage Initial Daily Use Initial Damage Evaluation Initial Data Base Load Initial Data Storage File Initial Death Rate of Chapel Hill Initial Defense Communications Satellite Program Initial Defense Of Texas Initial Defense Satellite Communications System

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No references found

Without this there is no real evidence of initial condition or of any change beyond normal wear and tear.

If it's not on the inventory... it doesn't exist! by Coventry Evening Telegraph (England)

1999) have shown that more than one initial condition may be important for growth and macroeconomic performance in transition economies.

Trade, foreign direct investment, and growth: evidence from ... by Nath, Hiranya K. / Comparative Economic Studies

Life (and its evolution) depended on the physical evolution of the solar system--its initial condition was hopelessly inhospitable to organic organization.

For both universe and life, only constant is change by Siegfried, Tom / Science News

inhibitory postsynaptic potential

inhomogeneous line-broadening