Built-in Mathematica Symbol

Animate

Animate[expr, {u, u_min, u_max}]
generates an animation of expr in which u varies continuously from u_min to u_max.

Animate[expr, {u, u_min, u_max, du}]
takes u to vary in steps du.

Animate[expr, {u, {u₁, u₂, ...}}]
makes u take on discrete values u₁, u₂, ....

Animate[expr, {u, ...}, {v, ...}, ...]
varies all the variables u, v, ....

When u_max is finite, u is taken to vary at such a rate as to make the animation last for the time given by the setting for DefaultDuration.

Animate[expr, {u, u_min, Infinity}] makes an infinite animation in which the value of u increases forever at a rate of one unit per second.

Animate[expr, {u, -Infinity, Infinity}] also allows u to decrease forever if the animation is run in reverse.

Animate[expr, {{u, u₀, u_lbl}, ...}, ...] uses u_lbl as the label for the u animator, etc.

Animate has the same options as Manipulate, with the following additions and changes:

AnimationDirection	Forward	the direction of the animation
AnimationRate	Automatic	the rate at which to take variables to vary
AnimationRepetitions	Infinity	how many times to run before stopping
AnimationRunning	True	whether the animation is running
AppearanceElements	Automatic	control elements to include
BaseStyle	{}	base style specifications for the animator
DefaultDuration	5.	the default duration in seconds
Deinitialization	None	an expression to evaluate if the output from the Animate is deleted
DisplayAllSteps	False	whether to force all discrete steps to be displayed
Exclusions	{}	specific values to be excluded
Initialization	None	an expression to evaluate when output is first generated
LabelStyle	{}	style specifications for the label area
RefreshRate	Automatic	the default number of times per second to refresh
ShrinkingDelay	Automatic	how long to delay before shrinking if the displayed object gets smaller

The default for du is determined by the setting for the RefreshRate option, and is negative if u_min is larger than u_max.

If du is given as 0, it is taken to be the minimum positive or negative value determined by the setting for RefreshRate.

If an explicit setting is specified for AnimationRate, it takes precedence over the setting for DefaultDuration.

The following elements are included by default: "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", "DirectionButton". These elements can be specified in any order in a list given as the setting for AppearanceElements.

The settings for BaseStyle and LabelStyle are appended to the default styles typically given by the "Animate" and "AnimateLabel" styles in the current stylesheet.