User:Boris Tsirelson/Sandbox1: Difference between revisions
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(here ''h''<sub>0</sub> is the initial height, and ''g'' is the [[acceleration due to gravity]]). The height changes in time, but the function ''h'' does not. | (here ''h''<sub>0</sub> is the initial height, and ''g'' is the [[acceleration due to gravity]]). The height changes in time, but the function ''h'' does not. | ||
{{Image|Moving wave.gif|right| | {{Image|Moving wave.gif|right||<small>A function changes in time</small>}} | ||
The instantaneous shape of a vibrating string is described by a function (the displacement is a function of the coordinate), and this function changes in time. | The instantaneous shape of a vibrating string is described by a function (the displacement is a function of the coordinate), and this function changes in time. | ||
Revision as of 15:33, 18 November 2010
In Newtonian mechanics, coordinates of moving bodies are functions of time. For example, the classical equation for a falling body; its height at a time t is
(here h0 is the initial height, and g is the acceleration due to gravity). The height changes in time, but the function h does not.
The instantaneous shape of a vibrating string is described by a function (the displacement is a function of the coordinate), and this function changes in time.