Meta tags:
keywords= applets, bookmarks button, click-interactive panels, controls, direct manipulation, gamepad, graphical user interface, GUI, hide controls button, instant interface, interactive, interactive panels, interface builder, joystick, Manipulate, mouse interactive, reset button, slider, snapshot button, universal interface, user interfaces;
description= Manipulate[expr, u, umin, umax ] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, u, umin, umax, du ] allows the value of u to vary between umin and umax in steps du. Manipulate[expr, u, uinit , umin, umax, ... ] takes the initial value of u to be uinit. Manipulate[expr, u, uinit, ulbl , ... ] labels the controls for u with ulbl. Manipulate[expr, u, u1, u2, ... ] allows u to take on discrete values u1, u2, .... Manipulate[expr, u, ... , v, ... , ...] provides controls to manipulate each of the u, v, .... Manipulate[expr, SubscriptBox[c, u] - u, ... , SubscriptBox[c, v] - v, ... , ...] links the controls to the specified controllers on an external device.;
Headings (most frequently used words):
for, educational, wolfram, science, technology, education, programs, options, examples, related, initiatives, tech, products, data, finance, business, engineering, get, started, grow, your, skills, work, with, us, adults, youth, read, manipulate, details, and, see, also, notes, guides, workflows, links, history, alpha, ai, core, technologies, of, additional, deployment, more, learning, support, resources, events, basic, scope, 29, generalizations, extensions, 68, applications, properties, relations, possible, issues, neat, content, controls, 12, presentation, controller, devices, alignment, appearanceelements, autoaction, autorunsequencing, baselineposition, contentsize, continuousaction, controllerlinking, controllermethod, controllerpath, controlplacement, controltype, 11, deinitialization, deployed, excludedcontexts, framelabel, framemargins, imagemargins, includedcontexts, initialization, labelstyle, localizevariables, paneled, rotatelabel, savedefinitions, synchronousinitialization, synchronousupdating, trackedsymbols, undotrackedvariables, text, cms, apa, bibtex, biblatex,
Text of the page (most frequently used words):
wolfram (289), manipulate (224), the (195), language (175), code (147), for (73), #control (69), use (54), and (53), with (49), #controls (48), dynamic (41), true (38), interactive (31), graphics (31), plotrange (30), locator (30), controltype (27), all (26), default (26), expr (26), setting (25), false (25), introduction (24), sin (24), controller (24), content (23), max (23), specify (22), automatic (22), creating (21), value (21), plot (20), options (19), table (19), are (18), can (18), output (18), none (17), savedefinitions (17), initialization (17), when (17), values (17), controlplacement (17), etc (17), min (17), interface (16), 2pi (16), science (15), gamepad (15), objects (15), variable (15), external (15), data (14), form (14), variables (14), whether (14), from (13), manipulation (13), range (13), such (13), that (13), more (13), contact (12), one (12), web (12), device (12), each (12), displayed (12), support (11), alpha (11), interfaces (11), related (11), update (11), manipulator (11), also (11), labels (11), slider (11), controllers (11), absolute (11), cloud (11), resources (10), system (10), tabular (10), video (10), advanced (10), functionality (10), tech (10), not (10), locators (10), expression (10), specified (10), controllerpath (10), button (10), init (10), user (9), repository (9), apps (9), products (9), research (9), history (9), create (9), apis (9), elements (9), deployed (9), only (9), should (9), bottom (9), left (9), type (9), controllerlinking (9), using (9), lbl (9), com (8), your (8), programs (8), reference (8), center (8), input (8), computation (8), click (8), checkbox (8), solutions (8), point (8), definitions (8), polygon (8), pts (8), any (8), framelabel (8), labelstyle (8), controllermethod (8), cos (8), phase (8), given (8), school (8), fast (7), educational (7), documentation (7), notebook (7), function (7), mathematica (7), top (7), workflows (7), symbols (7), excludedcontexts (7), object (7), first (7), respond (7), trackedsymbols (7), style (7), xxx (7), framemargins (7), setter (7), annotations (7), joystick (7), typically (7), continuousaction (7), autorunsequencing (7), frequency (7), specification (7), blog (6), math (6), consulting (6), 2024 (6), https (6), ref (6), html (6), interactivity (6), custom (6), guides (6), notes (6), formcontrol (6), formobject (6), see (6), parametricplot (6), column (6), examples (6), cases (6), toboxes (6), holdpattern (6), will (6), initial (6), include (6), red (6), area (6), row (6), specifications (6), colorslider (6), inputfield (6), including (6), primary (6), appearanceelements (6), alignment (6), amplitude (6), delimiter (6), education (6), engineering (6), community (5), events (5), access (5), computer (5), books (5), students (5), programmers (5), learning (5), player (5), engine (5), 2007 (5), updated (5), text (5), this (5), links (5), avoid (5), warnings (5), build (5), processing (5), overview (5), instant (5), importing (5), images (5), styling (5), generalized (5), pages (5), standalone (5), creation (5), gauges (5), interactions (5), communication (5), panels (5), drawing (5), construction (5), visualization (5), formfunction (5), controlsrendering (5), controlactive (5), deploy (5), animate (5), controllermanipulate (5), number (5), contexts (5), other (5), parameter (5), explicit (5), possible (5), intervalslider (5), change (5), appearance (5), current (5), menu (5), synchronousupdating (5), between (5), frame (5), localizevariables (5), medium (5), framed (5), imagemargins (5), option (5), deinitialization (5), imagesize (5), makes (5), autoaction (5), multiple (5), tan (5), color (5), particular (5), how (5), allows (5), func (5), 2026 (4), youtube (4), account (4), demonstrations (4), project (4), computational (4), problem (4), polyhedrondata (4), built (4), val (4), subscript (4), single (4), list (4), parameters (4), resizing (4), vary (4), int (4), randomreal (4), undotrackedvariables (4), local (4), changed (4), used (4), pause (4), synchronousinitialization (4), saved (4), rotatelabel (4), position (4), paneled (4), large (4), includedcontexts (4), private (4), bar (4), small (4), label (4), disk (4), selected (4), popupmenu (4), slider2d (4), right (4), axis (4), two (4), relative (4), whenever (4), contentsize (4), baselineposition (4), annotation (4), item (4), graphic (4), discrete (4), settings (4), corresponding (4), evaluated (4), notebooks (4), trigger (4), specifies (4), connect (4), follow (4), stephen (4), foundation (4), initiatives (4), high (4), student (4), faqs (4), schools (4), core (4), intro (4), universities (4), technology (4), finance (4), mcp (4), app (4), about (3), company (3), portal (3), media (3), mathworld (3), adventures (3), based (3), challenges (3), generator (3), server (3), deployment (3), licensing (3), mobile (3), edition (3), modeler (3), compute (3), services (3), online (3), take (3), panel (3), grid (3), evaluate (3), properties (3), evaluations (3), multi (3), whose (3), then (3), contain (3), explicitly (3), imagepadding (3), fixed (3), prevent (3), manipulating (3), may (3), sinc (3), open (3), updates (3), updating (3), dynamicmodule (3), inputform (3), get (3), solve (3), evaluation (3), out (3), synchronously (3), vertical (3), styles (3), bold (3), details (3), symbol (3), tiny (3), margins (3), around (3), spacer (3), individual (3), separately (3), colorsetter (3), radiobutton (3), verticalslider (3), into (3), analog (3), than (3), associated (3), has (3), full (3), until (3), size (3), order (3), autorun (3), automatically (3), devices (3), 20pi (3), performancegoal (3), quality (3), horizontal (3), constructs (3), 100 (3), next (3), group (3), groups (3), cot (3), inside (3), locatorautocreate (3), allow (3), additional (3), setterbar (3), steps (3), close (3), joysticks (3), determines (3), cell (3), following (3), generates (3), placement (3), overall (3), pos (3), added (3), views (3), forms (3), learn (3), complex (3), systems (3), insights (3), computing (3), privacy (2), policy (2), legal (2), linkedin (2), twitch (2), facebook (2), organization (2), drop (2), example (2), give (2), wolfram_2026_manipulate (2), title (2), year (2), url (2), note (2), accessed (2), october (2), cite (2), websites (2), elementary (2), arrayplot (2), outer (2), linear (2), norm (2), neat (2), print (2), side (2), messages (2), same (2), contains (2), pt1 (2), pt2 (2), pt3 (2), long (2), max_ (2), visible (2), either (2), plots (2), cause (2), issues (2), display (2), localize (2), state (2), relations (2), green (2), traditionalform (2), interactively (2), general (2), optable (2), operations (2), applications (2), undo (2), time (2), kernel (2), blue (2), necessary (2), baz (2), symbolic (2), preset (2), yyy (2), different (2), save (2), graphics3d (2), cuboid (2), both (2), setoptions (2), background (2), windowopacity (2), inherited (2), expressions (2), affects (2), builtin (2), detachable (2), forces (2), associations (2), rather (2), ones (2), within (2), selection (2), clicked (2), continuously (2), 200 (2), align (2), surrounding (2), run (2), through (2), mouse (2), over (2), you (2), hidecontrolsbutton (2), snapshotbutton (2), rotate (2), while (2), generalizations (2), extensions (2), openerview (2), layout (2), aspectratio (2), dynamically (2), well (2), scale (2), translate (2), place (2), make (2), presentation (2), arbitrary (2), created (2), appearances (2), customized (2), scope (2), names (2), basic (2), basestyle (2), yield (2), pressed (2), b1absolute (2), xy2 (2), xy1 (2), xyz (2), taken (2), end (2), its (2), xcyclic (2), xabsolute (2), directly (2), session (2), states (2), appear (2), tracked (2), manipulatemenu (2), unsavedvariables (2), scoping (2), opts (2), touchscreen (2), bookmarks (2), what (2), coordinates (2), animator (2), string (2), view (2), popup (2), provides (2), takes (2), version (2), ais (2), person (2), livestreams (2), mathematics (2), stem (2), writings (2), read (2), program (2), middle (2), camp (2), youth (2), winter (2), summer (2), adults (2), jobs (2), opportunities (2), startups (2), ambassador (2), initiative (2), work (2), sites (2), career (2), daily (2), study (2), highlighted (2), areas (2), software (2), developers (2), news (2), problems (2), share (2), ideas (2), courses (2), life (2), grow (2), skills (2), started (2), gen (2), edtech (2), colleges (2), teaching (2), social (2), behavioral (2), sciences (2), quantum (2), food (2), environmental (2), biosciences (2), agtech (2), sustainable (2), energy (2), automotive (2), civil (2), real (2), estate (2), healthcare (2), artificial (2), intelligence (2), business (2), organizational (2), wstpserver (2), wolframscript (2), linguistic (2), understanding (2), computable (2), technologies (2), cag (2), component (2), agent (2), api (2), tool (2), ecosystem (2), website (2), enterprise (2), application (2), platform (2), technical (2), english, wolframcloud, wolframalpha, careers, faq, product, downloads, store, customer, publishing, thinking, public, webinars, training, github, archive, prompt, neural, net, paclet, repositories, volume, site, pro, introductory, book, feedback, biblatex, misc, author, howpublished, bibtex, retrieved, apa, last, modified, cms, 2021, 2020, 2019, 2014, 2012, 2008, introduced, manipulateplot, randominteger, matrixexp, visualize, differential, equations, complement, classes, simple, polyhedron, property, explorer, contourplot, contours, electrostatic, potential, charges, createdocument, documentnotebook, producing, effects, sometimes, clear, alternatively, attach, own, pull, attached, pulled, mixing, generate, warning, points, redefine, notices, tick, sizes, method, push, minintervalsize, behavior, entire, actual, reflects, ndsolve, epilog, arrow, boundary, geometrictransformation, cellularautomaton, plotlabel, numberform, matrixform, transformation, plus, times, subtract, divide, tables, tableform, tableheadings, define, which, command, disabled, after, five, seconds, force, asynchronous, initializations, done, lost, sessions, xxxxx, yyyyy, rotated, wrapped, treated, global, localized, affected, directive, italic, compound, stylistic, limit, recursive, inclusion, zzz, www, non, protected, timezone, certain, internal, restrict, createwindow, createdialog, longer, appropriate, way, combined, chooses, they, location, those, six, degrees, freedom, responds, supports, suitable, never, focus, always, does, contents, released, 400, displaying, scroll, bars, needed, simultaneously, duration, choosing, moves, resetbutton, updatebutton, padright, set, plot3d, changing, class, affect, override, break, expand, typesetting, link, random, pure, write, like, lay, ways, purple, invisible, further, line, sine, cosine, tangent, element, standard, reset, contourplot3d, mesh, polarplot, 6pi, nest, subsuperscript, sum, formulas, numbers, multiplier, defaults, factor, continuous, appended, stylesheet, manipulatelabel, being, otherwise, toggle, refers, hat, referred, xy3, axes, distinct, wrap, cyclically, reaches, means, displacement, rate, alternate, depressing, raw, active, found, controllerinformation, instantaneous, b2absolute, toggling, positions, cyclic, secondary, xyz1, typical, buttons, part, encountered, tracks, reevaluated, clicking, snapshot, creates, below, containing, specifying, included, contentresizearea, executed, result, restored, reopened, construct, implements, lexical, spec, front, mechanism, changes, touchscreencontrolplacement, zoom, fullscreen, activated, touchscreenautozoom, perform, delay, before, shrinking, gets, smaller, shrinkingdelay, preserve, image, regenerating, preserveimageoptions, put, timed, keyframe, keyframeactions, interpolation, animating, transitions, interpolationorder, considered, whole, excluded, evaluator, deleted, try, operate, activate, bookmark, base, them, enclosing, placed, once, linked, starts, but, new, clicks, hit, existing, deletes, sets, giving, refer, direction, across, equivalent, gives, argument, yields, labeled, controlled, types, togglerbar, radiobuttonbar, checkboxbar, attempts, heads, multicolumn, tabview, textcell, expressioncell, fields, blank, field, few, step, page, enable, javascript, interact, submit, navigation, search, deliver, era, combining, driven, deep, expertise, multidomain, modeling, simulation, original, environment, definitive, experience,
Text of the page (random words):
pulate plot sin t ϕ t 0 10 plotrange 1 ϕ 0 dynamic framed graphics disk 0 0 1 0 ϕ plotrange 1 imagesize 30 0 2pi break manipulate controls into groups using delimiter item etc wolfram language code manipulate x a b x 0 1 delimiter a 0 1 b 0 1 wolfram language code manipulate x a b x 0 1 item next group alignment center a 0 1 b 0 1 use controlplacement to place individual controls wolfram language code manipulate plot c sinc a x b d x 2 2 plotrange 4 a 5 x scale 5 10 b 0 x translate 3 3 c 1 y scale 1 4 d 0 y translate 3 3 controlplacement top top bottom bottom use both controlplacement and annotation elements wolfram language code manipulate parametricplot a1 sin n1 x p1 a2 cos n2 x p2 x 0 20pi plotrange 1 performancegoal quality style vertical bold medium n1 1 frequency 1 4 a1 1 amplitude 0 1 p1 0 phase 0 2pi delimiter style horizontal bold medium n2 5 4 frequency 1 4 a2 1 amplitude 0 1 p2 0 phase 0 2pi controlplacement left use dynamically updating annotations as well wolfram language code manipulate parametricplot a1 sin n1 x p1 a2 cos n2 x p2 x 0 20pi plotrange 1 performancegoal quality dynamic parametricplot a1 sin n1 x p1 x x 0 2pi imagesize 100 aspectratio 1 plotrange 1 1 0 2pi n1 1 frequency 1 4 a1 1 amplitude 0 1 p1 0 phase 0 2pi delimiter dynamic plot a2 sin n2 x p2 x 0 2pi imagesize 100 aspectratio 1 plotrange 1 n2 5 4 frequency 1 4 a2 1 amplitude 0 1 p2 0 phase 0 2pi controlplacement left annotations can contain control objects or other layout constructs wolfram language code manipulate parametricplot a1 sin n1 x p1 a2 cos n2 x p2 x 0 20pi plotrange 1 performancegoal quality openerview vertical column control n1 1 frequency 1 4 control a1 1 amplitude 0 1 control p1 0 phase 0 2pi openerview horizontal column control n2 5 4 frequency 1 4 control a2 1 amplitude 0 1 control p2 0 phase 0 2pi controlplacement bottom controller devices 3 by default controllers only affect a manipulate when it is selected use all to override this wolfram language code manipulate u u 0 1 controllerlinking all use controllerpath to specify the class of controller to use wolfram language code manipulate u u 0 1 controllerpath joystick setting controllermethod to absolute forces absolute associations rather than relative ones wolfram language code manipulate u u 0 1 controllermethod absolute generalizations extensions 2 you can interactively rotate 3d graphics while changing parameters wolfram language code manipulate plot3d sin x y a x 0 3 y 0 3 a 0 1 set up a variable number of locators wolfram language code manipulate pts padright pts n randomreal 1 1 15 2 graphics polygon pts plotrange 1 n 5 15 1 pts 0 0 locator options 68 alignment 1 use preset values wolfram language code column table manipulate u u 0 1 alignment a a left center right appearanceelements 2 by default manipulate only contains a manipulator wolfram language code manipulate u u 0 1 use appearanceelements to specify more controls to be displayed wolfram language code table manipulate u u 0 1 appearanceelements a a hidecontrolsbutton snapshotbutton resetbutton updatebutton all autoaction 2 by default no values change until you click in the slider area wolfram language code manipulate u u 0 1 by setting autoaction the values change as the mouse moves over the slider area wolfram language code manipulate u u 0 1 autoaction true autorunsequencing 4 by choosing autorun from the manipulate menu each variable is automatically run through wolfram language code manipulate x y z x 0 1 y 1 2 z 2 3 use autorunsequencing to control the order of variables in autorun wolfram language code manipulate x y z x 0 1 y 1 2 z 2 3 autorunsequencing 2 1 3 specify a different duration for each variable default 5 wolfram language code manipulate x y z x 0 1 y 1 2 z 2 3 autorunsequencing 2 1 8 3 1 specify all to run through all variables simultaneously wolfram language code manipulate x y z x 0 1 y 1 2 z 2 3 autorunsequencing all baselineposition 1 align with the surrounding text wolfram language code row table manipulate u u 0 1 controltype none baselineposition p p top center bottom xxx contentsize 1 specify a fixed content size displaying scroll bars if needed wolfram language code manipulate range n n 1 200 1 contentsize 400 200 continuousaction 3 by default variables are continuously updated wolfram language code manipulate u u 0 1 setting continuousaction to false updates only when the control is released wolfram language code manipulate u u 0 1 continuousaction false setting it to none does not update the contents until the update button is clicked wolfram language code manipulate u u 0 1 continuousaction none controllerlinking 5 by default the output will respond to an external controller if the object is selected wolfram language code manipulate u u 0 1 using full makes the output respond only if the object is within the current selection wolfram language code manipulate u u 0 1 controllerlinking full using all makes the output always respond to external controllers wolfram language code manipulate u u 0 1 controllerlinking all using true makes the output respond whenever the notebook has focus wolfram language code manipulate u u 0 1 controllerlinking true using false makes the output never respond to external controllers wolfram language code manipulate u u 0 1 controllerlinking false controllermethod 2 by default the variables will be associated with suitable controls on the controller device wolfram language code manipulate u u 0 1 setting controllermethod to absolute forces absolute associations rather than relative ones wolfram language code manipulate u u 0 1 controllermethod absolute controllerpath 6 by default manipulate responds to the first controller that supports all necessary controls wolfram language code manipulate u u 0 1 use gamepad to specify a controller typically including two analog controls wolfram language code manipulate u u 0 1 controllerpath gamepad use joystick to specify a controller typically including one primary analog control wolfram language code manipulate u u 0 1 controllerpath joystick use multi axis controller for controllers such as those with six analog degrees of freedom wolfram language code manipulate u u 0 1 controllerpath multi axis controller use detachable to specify a controller not built into a computer wolfram language code manipulate u u 0 1 controllerpath detachable use builtin to specify a controller built into a computer wolfram language code manipulate u u 0 1 controllerpath builtin controlplacement 2 specify the location of the controls wolfram language code column table manipulate u u 0 1 controlplacement p p left right bottom top controlplacement also affects annotations whether or not they contain control objects wolfram language code manipulate u v w row control u true false control v true false control w true false spacer 20 controlplacement bottom controltype 11 by default manipulate chooses a manipulator to control the specified variable wolfram language code manipulate u u 0 1 use controltype to specify the type of control to use including none wolfram language code manipulate u u 0 1 controltype none slider and verticalslider wolfram language code manipulate u u 0 1 controltype slider wolfram language code manipulate u u 0 1 imagesize small controltype verticalslider controlplacement left slider2d and locator wolfram language code manipulate u u 0 0 1 1 controltype slider2d controlplacement left wolfram language code manipulate graphics plotrange 1 imagesize tiny u 1 1 1 1 controltype locator radiobutton setter checkbox and popupmenu wolfram language code table manipulate u u 0 1 controltype c c radiobutton setter checkbox popupmenu colorsetter and colorslider wolfram language code table manipulate u u blue controltype c c colorsetter colorslider inputfield wolfram language code manipulate u u xxx controltype inputfield specify the control type for each manipulate variable separately wolfram language code manipulate u v w u 0 1 slider v red colorslider w xxx inputfield controltype can be combined with individual variable control specifications wolfram language code manipulate u v w u 0 1 v 0 1 checkbox w 0 1 controltype setter controltype affects controls specified by control in the same way wolfram language code manipulate u v w row control u 0 1 control v 0 1 checkbox control w 0 1 spacer 20 controltype setter in the automatic setting an appropriate controller is selected wolfram language code manipulate t u v w x y z t u 0 1 v 0 0 1 1 w red x false true y range 5 z range 10 controltype automatic deinitialization 1 use deinitialization to evaluate expressions when manipulate is no longer displayed wolfram language code with nb createwindow createdialog manipulate setoptions nb background c windowopacity o column c o c green o 0 5 0 1 deinitialization setoptions nb background inherited windowopacity inherited deployed 2 by default both the content and the controls are interactive wolfram language code manipulate graphics disk u 0 plotrange 5 u 4 4 manipulate graphics3d cuboid u 0 0 plotrange 5 u 4 4 use deployed to restrict interactivity to the controls wolfram language code manipulate graphics disk u 0 plotrange 5 u 4 4 deployed true manipulate graphics3d cuboid u 0 0 plotrange 5 u 4 4 deployed true excludedcontexts 1 by default certain system internal contexts are not saved in the initialization option wolfram language code x timezone cases manipulate x savedefinitions true toboxes holdpattern initialization _ 1 use excludedcontexts to save definitions of all non protected symbols wolfram language code cases manipulate x savedefinitions true excludedcontexts toboxes holdpattern initialization _ 1 framelabel 3 specify a label at the bottom wolfram language code manipulate u u 0 1 framelabel xxx specify different labels at the bottom and on the left wolfram language code manipulate u u 0 1 framelabel xxx yyy specify labels on each side wolfram language code manipulate u u 0 1 framelabel xxx yyy zzz www framemargins 2 use preset values for the margins around the content area wolfram language code table manipulate framed u u 0 1 framemargins f f tiny small medium large or use explicit values wolfram language code table manipulate framed u u 0 1 framemargins m m 5 15 imagemargins 2 use symbolic values wolfram language code table framed manipulate u u 0 1 imagemargins f framemargins 0 f tiny small medium large or use explicit values wolfram language code framed manipulate u u 0 1 imagemargins 30 framemargins 0 includedcontexts 1 limit recursive inclusion of symbol definitions to the contexts c1 and c2 only wolfram language code c1 x c1 private bar c2 baz c1 private bar 1 c2 baz 3 wolfram language code cases manipulate c1 x includedcontexts c1 c2 savedefinitions true toboxes holdpattern initialization _ 1 initialization 1 use initialization to specify evaluations necessary for the manipulate output wolfram language code manipulate f x x 0 6 initialization f z_ range z labelstyle 3 specify stylistic details for labels wolfram language code table manipulate u u 0 1 labelstyle c c red bold large use compound styles wolfram language code manipulate u u 0 1 labelstyle directive blue italic medium frame labels are affected by labelstyle wolfram language code manipulate u u 0 1 framelabel style xxx large labelstyle red localizevariables 2 by default the variables are localized wolfram language code manipulate u u 0 1 dynamic u by setting localizevariables the variables are treated as global wolfram language code manipulate x x 0 1 localizevariables false dynamic x paneled 1 specify whether the output should be wrapped in a panel wolfram language code table manipulate u u 0 1 paneled t t true false rotatelabel 1 specify whether frame labels should be rotated in the vertical position wolfram language code table manipulate u u 0 1 framelabel xxxxx yyyyy rotatelabel t t true false savedefinitions 2 by default external definitions are lost between kernel sessions wolfram language code f x_ x wolfram language code manipulate f u u 0 1 by setting savedefinitions to true the external definitions are saved with the output wolfram language code f x_ x wolfram language code manipulate f u u 0 1 savedefinitions true synchronousinitialization 2 by default the initializations are done synchronously wolfram language code manipulate pause 1 f x x 0 1 initialization f x_ sin x force asynchronous initialization wolfram language code manipulate pause 1 f x x 0 1 initialization f x_ sin x synchronousinitialization false synchronousupdating 2 by default the evaluation will time out after five seconds wolfram language code manipulate pause 6 x x 0 1 synchronousupdating is disabled the evaluation will not time out wolfram language code manipulate pause 6 x x 0 1 synchronousupdating false trackedsymbols 1 specify symbols that will be used for updating wolfram language code manipulate u v u 0 1 v 1 2 trackedsymbols u undotrackedvariables 1 specify local variables which when changed respond to the undo menu command wolfram language code manipulate u v u 0 1 v 1 2 undotrackedvariables u applications 3 define an operations table wolfram language code optable o_ n_ tableform table o n1 n2 n1 1 n n2 1 n tableheadings range n range n manipulate the operations tables for wolfram language code manipulate optable o n n 1 10 o plus times subtract divide savedefinitions true a general linear transformation of a graphics object wolfram language code manipulate graphics geometrictransformation first arrayplot cellularautomaton 30 1 0 20 a b c d plotlabel numberform matrixform a b c d 2 a 1 2 2 b 0 2 2 c 0 2 2 d 1 2 2 solve a boundary value problem by interactively manipulating the initial values wolfram language code manipulate plot evaluate y t first ndsolve y x x y x y 0 a y 0 b y x 0 4 t 0 4 epilog point 4 1 2 green arrow 0 a 1 b a red point 0 a imagepadding 25 plotrange 3 a 1 traditionalform y 0 3 3 b 0 traditionalform y 0 3 3 properties relations 5 use inputform to get manipulate input wolfram language code manipulate x x x 0 1 inputform on the actual object also reflects the current state wolfram language code dynamicmodule 7 inputform use setting on the output to access the displayed expression wolfram language code manipulate x 2 x 0 1 wolfram language code setting dynamicmodule 7 use dynamic to localize updates and prevent the entire expression from updating wolfram language code manipulate randomreal u u 0 1 wolfram language code manipulate randomreal dynamic u u 0 1 use appearance open to display all the manipulator controls wolfram language code manipulate u u 0 1 appearance open use intervalslider options to change the behavior of the control wolfram language code manipulate int int 0 3 0 7 0 1 controltype intervalslider method push minintervalsize 0 1 possible issues 6 when manipulating plots the plotrange may vary and cause resizing wolfram language code manipulate plot sinc x t x 0 10 t 0 2 use a fixed plotrange to prevent resizing wolfram languag...
|
