Meta tags:
keywords= animate, Animate, animate3d, animating algorithms, animating anything, animating computations, animating formulas, animating graphics, animating plots, animation, CW_ANIMATE, FLICK, flip book animation, key frame animation, movie making, movies, playshow;
description=Animate[expr, u, umin, umax ] generates an animation of expr in which u varies continuously from umin to umax. Animate[expr, u, umin, umax, 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, .... ;

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Text of the page (random words):
er the animation is running animationruntime 0 time elapsed since the animation last started running or 0 if the animation is not running animationtimeindex automatic time index for the animation where 0 is the beginning and the value of defaultduration is the end 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 list of all options highlight options with settings specific to animate alignment automatic how to align the output in the display area 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 animationruntime 0 time elapsed since the animation last started running or 0 if the animation is not running animationtimeindex automatic time index for the animation where 0 is the beginning and the value of defaultduration is the end appearanceelements automatic control elements to include autoaction false whether to change controls automatically when the mouse is over them autorunsequencing automatic how autorun should use the controls baselineposition automatic alignment relative to surrounding text basestyle base style specifications for the animator bookmarks bookmark settings contentsize automatic the absolute size for the content area continuousaction automatic whether to update continuously when controls are changed controllerlinking automatic when to activate links to external controllers controllermethod none how external controllers should operate controllerpath automatic what external controllers to try to use controlplacement automatic placement of controls controltype automatic type of controls to use defaultduration 5 the default duration in seconds deinitialization none an expression to evaluate if the output from the animate is deleted deployed false whether to make the displayed output deployed displayallsteps false whether to force all discrete steps to be displayed evaluator automatic the kernel to use for evaluations excludedcontexts automatic contexts excluded from savedefinitions exclusions specific values to be excluded framelabel none labels for the outer frame framemargins automatic margins inside the overall frame imagemargins 0 margins around the whole manipulate includedcontexts all contexts considered for savedefinitions initialization none an expression to evaluate when output is first generated interpolationorder automatic interpolation order for animating transitions between bookmarks keyframeactions automatic control settings for timed keyframe labelstyle style specifications for the label area localizevariables true whether to localize the variables paneled true whether to put the displayed output in a panel preserveimageoptions true whether to preserve image size and other options when regenerating graphics refreshrate automatic the default number of times per second to refresh rotatelabel false whether to rotate y labels on the frame savedefinitions false whether to save all definitions associated with expr shrinkingdelay automatic how long to delay before shrinking if the displayed object gets smaller synchronousinitialization true whether to perform initialization synchronously synchronousupdating automatic whether to update synchronously touchscreenautozoom false whether to zoom to fullscreen when activated on a touchscreen touchscreencontrolplacement automatic placement of controls on a touchscreen trackedsymbols full symbols whose changes trigger updates in the output undotrackedvariables none variables that when changed should be tracked by the front end s undo mechanism unsavedvariables none variables whose values should not be saved examples open all close all basic examples 3 animate by continuously changing the value of a wolfram language code animate plot sin x a x 0 10 a 0 5 animationrunning false animate by varying n in discrete steps wolfram language code animate arrayplot cellularautomaton n 1 0 40 all n 0 255 1 animationrunning false animate by continuously changing two parameters a and b wolfram language code animate plot sin a x sin b x x 0 10 plotrange 2 a 1 5 b 1 5 animationrunning false scope 8 animate content 2 animate a plot wolfram language code animate plot sin x a x 0 10 a 0 5 animate any expression not just a graphic wolfram language code animate factorinteger n n 1 2000 1 animationrunning false wolfram language code animate nest subsuperscript x n n 1 5 1 animationrunning false animate control 6 specify a range for animation wolfram language code animate plot sin x a x 0 10 a 0 5 animationrunning false specify the animator controls using appearanceelements wolfram language code table animate factorinteger n n 1 2000 1 appearanceelements a a progressslider stepleftbutton steprightbutton playpausebutton fasterslowerbuttons directionbutton resetbutton playbutton resetplaybutton specify animation steps wolfram language code animate plot besselj n x x 0 20 plotrange 1 n 1 5 1 animationrunning false specify an infinite animation where the animation variable increases at unit speed wolfram language code animate plot sin x a x 0 10 plotlabel a a 0 infinity animationrunning false animate using a discrete set of values wolfram language code animate plot sin x a x 0 10 a 0 π 2π 3π animationrunning false wolfram language code animate graphics p p rectangle line 0 0 1 1 disk animationrunning false animate several variables at once wolfram language code animate plot3d sin x a sin y b x 0 2pi y 0 2pi plotrange 1 a 0 pi b 0 pi animationrunning false options 23 alignment 1 use preset values wolfram language code table animate graphics disk u 0 plotrange 1 2 1 1 imagesize 30 u 0 1 animationrunning false alignment a a left center right animationdirection 1 control the direction of animation wolfram language code table animate u u 0 1 animationdirection a animationrunning false a forward backward forwardbackward animationrate 1 control the rate of animation wolfram language code table animate u u 0 1 animationrate a animationrunning false a automatic 0 5 1 1 5 animationrepetitions 1 control the number of animation cycles wolfram language code table animate u u 0 1 animationrepetitions a animationrunning false a 1 3 animationrunning 2 by default animate starts running when evaluated wolfram language code animate u u 0 1 by setting animationrunning false animate starts in a paused state wolfram language code animate u u 0 1 animationrunning false appearanceelements 2 by default animate only contains an animator wolfram language code animate u u 0 1 animationrunning false use appearanceelements to get additional controls wolfram language code table animate u u 0 1 animationrunning false appearanceelements a a hidecontrolsbutton snapshotbutton resetbutton updatebutton all baselineposition 1 align with the surrounding text wolfram language code row table animate u u 0 1 controltype none animationrunning false baselineposition p p top center bottom xxx controlplacement 1 specify the location of the controls wolfram language code table animate u u 0 1 animationrunning false controlplacement p p left right bottom top defaultduration 1 control the time duration of one animation cycle wolfram language code table animate u u 0 10 defaultduration a animationrunning false a 1 3 deinitialization 1 specify expressions to be evaluated when animate is no longer displayed wolfram language code createdialog animate f x x 0 1 initialization f c_ graphics hue c disk imagesize tiny deinitialization createdialog f x deployed 2 by default the contents can be selected and edited wolfram language code animate graphics disk imagesize 50 u 0 1 animationrunning false use deployed to restrict the interactivity of the contents wolfram language code animate graphics disk imagesize 50 u 0 1 animationrunning false deployed true displayallsteps 1 with the default setting some steps may be skipped wolfram language code animate graphics point sin x cos x sin x plotrange 1 imagesize tiny x 0 20 pi 1 animationrunning false use displayallsteps to prevent skipping wolfram language code animate graphics point sin x cos x sin x plotrange 1 imagesize tiny x 0 20 pi 1 displayallsteps true animationrunning false exclusions 1 exclude values from the range wolfram language code animate u u 0 1 0 2 exclusions 0 4 0 8 animationrunning false framemargins 2 use preset values wolfram language code table animate framed u u 0 1 animationrunning false framemargins f f tiny small medium large or use any values wolfram language code animate framed u u 0 1 animationrunning false framemargins 20 imagemargins 2 use preset values wolfram language code table framed animate u u 0 1 imagemargins f f tiny small medium large or use any values wolfram language code framed animate u u 0 1 imagemargins 20 initialization 1 specify expression to be evaluated before displaying the animation wolfram language code animate f x x 0 1 initialization f z_ z animationrunning false refreshrate 1 control the refresh rate of the animation wolfram language code table animate u u 0 1 refreshrate r animationrunning false r 1 2 trackedsymbols 1 specify symbols that will trigger the animation update wolfram language code animate u v u 0 1 animationrunning false v 1 2 trackedsymbols u applications 9 animate a rolling circle wolfram language code animate graphics translate rotate circle point 0 1 t t 0 plotrange 2 10 2 2 imagesize large tiny t 0 2π animationrunning false animate the taylor series of wolfram language code animate series sin x x 0 n n 1 20 2 animationdirection forwardbackward animationrunning false animate the series wolfram language code animate plot evaluate sin x normal series sin x x 0 n x 10 10 plotrange 3 n 1 20 2 animationdirection forwardbackward animationrunning false scan through a large space of cellular automata wolfram language code animate arrayplot cellularautomaton i 2 2 1 0 40 all i 0 infinity 2 animationrate 4 animationrunning false animate nonlinear slider motion wolfram language code animate slider u 2 slider 1 sqrt u u 0 1 animationrunning false display the superposition of two waves wolfram language code animate column plot sin f1 x t sin f2 x t x 2 π 2 π plotrange 1 1 plot sin f2 x t sin f1 x t x 2 π 2 π plotrange 2 f1 1 10 f2 1 10 t 0 2 π animationrunning false animate a complex map of the plane for different values of wolfram language code animate parametricplot through re im x i y s x 2 2 y 2 2 performancegoal quality plotlabel z s plotrange 2 2 2 2 s 0 1 animationrunning false display a sphere torus morphing wolfram language code sphere θ_ ϕ_ cos θ sin ϕ 2 sin θ sin ϕ 2 cos ϕ 2 wolfram language code torus θ_ ϕ_ sin ϕ 3 2 cos ϕ sin θ 3 2 cos ϕ cos θ 3 wolfram language code animate parametricplot3d 1 λ sphere θ ϕ λ torus θ ϕ θ 0 2π ϕ 0 2π plotrange 1 mesh true λ 0 1 animationdirection forwardbackward savedefinitions true animationrunning false animate the roots of wolfram language code roots n_ c_ module r x l r flatten table x nsolve x n l x range 1 n 1 c 0 x l tuples 1 1 n 1 transpose re r im r wolfram language code animate graphics point roots n a i b plotrange 2 frame true n 7 degree n 2 8 1 a 1 real constant a 3 3 b 0 imaginary constant b 3 3 savedefinitions true animationrunning false animate point light positions wolfram language code p1 θ_ rotationtransform θ 0 0 1 0 2 0 p2 θ_ rotationtransform θ pi 2 1 0 1 0 2 0 p3 θ_ rotationtransform θ pi 1 0 0 0 2 0 p4 θ_ rotationtransform θ 3pi 2 1 0 1 0 2 0 wolfram language code animate graphics3d sphere lighting point red p1 θ point green p2 θ point blue p3 θ point yellow p4 θ θ 0 2pi animationdirection forwardbackward savedefinitions true animationrunning false properties relations 2 animated behavior can also be built using animator as a building block wolfram language code dynamicmodule x 0 xlis 0 0 animator dynamic x x appendto xlis graphics line dynamic xlis axes true plotrange 0 1 0 1 animating a fixed list of expressions can be done directly with listanimate wolfram language code listanimate table graphics line 0 0 x x axes true plotrange 0 1 0 1 x 0 1 0 01 possible issues 2 fix plotrange to stop animations from jiggling wolfram language code animate plot sinc x t x 0 10 t 0 2 wolfram language code animate plot sinc x t x 0 10 plotrange 1 1 t 0 2 use imagepadding to make sure different labels do not make the image size change wolfram language code animate plot x n sin x x 0 10 n 1 4 wolfram language code animate plot x n sin x x 0 10 imagepadding 25 n 1 4 neat examples 2 animate a point traveling around a circle wolfram language code animate graphics circle absolutepointsize 8 point cos t sin t t 0 2π animationrunning false animate a frown transforming to a smiley wolfram language code animate plot t x 2 1 1 t x 2 x 1 1 axes false epilog circle 0 1 3 disk 1 2 3 disk 1 2 3 line 0 0 6 0 1 6 plotrange 3 4 3 4 aspectratio 1 t 0 1 animationrunning false see also listanimate manipulate play animator dynamic autorunsequencing animationvideo function repository optimalrotate tech notes introduction to dynamic advanced dynamic functionality related guides dynamic visualization interactive manipulation presentations with the wolfram system charting and information visualization standalone interfaces related workflows related workflows deploy an animation to the web history introduced in 2007 6 0 updated in 2014 10 0 cite this as wolfram research 2007 animate wolfram language function https reference wolfram com language ref animate html updated 2014 text wolfram research 2007 animate wolfram language function https reference wolfram com language ref animate html updated 201...