Meta tags:
keywords= branch cut curves, branch cut points, branch cuts, discontinuity curves, discontinuity points, essential singularities, essential singularity, exclusion curves, exclusion points, Exclusions, jump curves, jump points, pole, pole curves, pole points, poles, singular curves, singular points;
description=Exclusions is an option that specifies where to exclude in regions used by functions like Plot, Plot3D, and NIntegrate.;

Headings (most frequently used words):

for, educational, wolfram, science, technology, education, programs, initiatives, examples, products, data, finance, business, engineering, get, started, grow, your, skills, work, with, us, adults, youth, read, exclusions, details, see, also, related, guides, history, alpha, ai, core, technologies, of, additional, deployment, options, more, learning, tech, support, resources, events, basic, scope, possible, issues, text, cms, apa, bibtex, biblatex,

Text of the page (most frequently used words):
#wolfram (155), language (43), exclusions (38), for (33), and (29), options (18), the (18), code (17), plot (16), #science (15), exclusionsstyle (13), contact (12), data (11), alpha (11), plot3d (11), discontinuities (11), none (11), cloud (11), support (10), resources (10), one (10), singularities (10), more (10), products (9), research (9), where (9), use (9), exclude (9), all (9), com (8), repository (8), reference (8), red (8), school (8), educational (7), programs (7), documentation (7), function (7), mathematica (7), with (7), solutions (7), blog (6), your (6), math (6), fast (6), introduction (6), consulting (6), system (6), 2016 (6), https (6), ref (6), html (6), plotting (6), related (6), guides (6), densityplot (6), parametricplot (6), see (6), also (6), portions (6), education (6), engineering (6), community (5), events (5), books (5), students (5), learning (5), notebook (5), player (5), engine (5), 2007 (5), center (5), styling (5), interactive (5), manipulation (5), controls (5), contourplot (5), parametricplot3d (5), regionfunction (5), connect (5), computed (5), 2026 (4), youtube (4), access (4), account (4), computational (4), programmers (4), history (4), specify (4), directive (4), sin (4), surface (4), tan (4), areas (4), has (4), examples (4), defined (4), follow (4), stephen (4), foundation (4), initiatives (4), tech (4), high (4), student (4), faqs (4), schools (4), core (4), intro (4), universities (4), technology (4), finance (4), apis (4), mcp (4), app (4), about (3), company (3), user (3), portal (3), media (3), mathworld (3), demonstrations (3), project (3), adventures (3), computer (3), based (3), challenges (3), problem (3), generator (3), server (3), deployment (3), licensing (3), mobile (3), apps (3), edition (3), modeler (3), compute (3), services (3), online (3), from (3), updated (3), absolutepointsize (3), arcsin (3), thick (3), excluded (3), curve (3), points (3), jumps (3), close (3), functions (3), specifies (3), typically (3), spec (3), learn (3), complex (3), systems (3), insights (3), computing (3), computation (3), privacy (2), policy (2), legal (2), linkedin (2), twitch (2), facebook (2), organization (2), drop (2), top (2), wolfram_2026_exclusions (2), title (2), year (2), url (2), note (2), accessed (2), october (2), cite (2), this (2), are (2), range (2), may (2), not (2), detected (2), sinc (2), equivalent (2), singularity (2), removable (2), possible (2), issues (2), lines (2), floor (2), dotted (2), ceiling (2), jump (2), scope (2), cos (2), mod (2), 2pi (2), mesh (2), basic (2), how (2), automatically (2), will (2), includes (2), domain (2), automatic (2), explicitly (2), equation (2), rhs (2), lhs (2), details (2), option (2), that (2), regions (2), used (2), like (2), nintegrate (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), using (2), opportunities (2), startups (2), ambassador (2), initiative (2), work (2), sites (2), career (2), daily (2), study (2), groups (2), highlighted (2), software (2), developers (2), news (2), views (2), solve (2), problems (2), share (2), ideas (2), courses (2), life (2), grow (2), skills (2), get (2), started (2), next (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), group (2), wstpserver (2), wolframscript (2), web (2), additional (2), linguistic (2), understanding (2), notebooks (2), computable (2), technologies (2), cag (2), component (2), agent (2), api (2), local (2), tool (2), ecosystem (2), website (2), enterprise (2), private (2), application (2), platform (2), technical (2), english, wolframcloud, wolframalpha, careers, faq, product, downloads, store, customer, publishing, thinking, public, webinars, training, github, archive, example, prompt, neural, net, paclet, repositories, volume, site, pro, introductory, book, feedback, give, biblatex, misc, author, howpublished, bibtex, retrieved, apa, last, modified, cms, text, introduced, numericq, first, nearest, prime, some, but, does, have, ignore, around, edges, opacity, transparency, show, there, style, discontinuous, fixed, set, polarplot, 4pi, plotstyle, sqrt, leave, entirely, connected, open, draw, their, boundaries, include, potential, including, poles, essential, piecewise, branch, cut, variable, variables, must, dimension, effectively, otherwise, quality, performancegoal, union, given, condition, cond, following, settings, what, built, symbol, page, enable, javascript, interact, content, submit, forms, websites, navigation, menu, search, deliver, era, combining, symbolic, driven, deep, expertise, multidomain, modeling, simulation, original, environment, definitive, experience,

Text of the page (random words):
exclusions wolfram documentation wolfram products wolfram one the definitive wolfram language and notebook experience mathematica the original technical computing environment system modeler multidomain modeling and simulation of complex systems compute services use with mathematica and wolfram one ai access use with mathematica and wolfram one finance platform wolfram alpha notebook edition application server enterprise private cloud wolfram engine wolfram player wolfram cloud app wolfram player app more mobile apps wolfram alpha wolfram alpha website wolfram alpha apis ai products wolfram ai ecosystem wolfram foundation tool wolfram cloud mcp wolfram local mcp agent one api cag component apis core technologies of wolfram products wolfram language computable data wolfram notebooks linguistic understanding additional deployment options wolfram cloud wolfram web engine wolframscript wstpserver group organizational licensing all products consulting solutions we deliver solutions for the ai era combining symbolic computation data driven insights and deep technical expertise wolfram consulting data science finance business artificial intelligence data science healthcare real estate engineering civil engineering automotive engineering sustainable energy science technology agtech biosciences environmental science food science quantum computation social and behavioral sciences more wolfram solutions technology for education research universities colleges teaching universities high schools resources for students education initiatives next gen edtech computer based math more solutions for education contact us learning support get started wolfram language introduction fast intro for programmers fast intro for math students wolfram language documentation more learning highlighted core areas demonstrations youtube daily study groups wolfram schools and programs books grow your skills wolfram u courses in computing science life and more community learn solve problems and share ideas blog news views and insights from wolfram resources for software developers tech support contact us support faqs support faqs contact us company about wolfram career center all sites resources connect follow contact us work with us student ambassador initiative wolfram for startups student opportunities jobs using wolfram language educational programs for adults summer school winter school educational programs for youth middle school camp high school research program computational adventures read stephen wolfram s writings wolfram blog wolfram tech books wolfram media complex systems educational resources wolfram mathworld wolfram in stem wolfram challenges wolfram problem generator wolfram initiatives wolfram science wolfram foundation history of mathematics project events stephen wolfram livestreams online in person events contact us connect follow for ais wolfram cloud your account your account user portal wolfram cloud search close navigation menu products wolfram one mathematica system modeler compute services use with mathematica and wolfram one ai access use with mathematica and wolfram one finance platform wolfram alpha notebook edition application server enterprise private cloud wolfram engine wolfram player wolfram cloud app wolfram player app more mobile apps wolfram alpha wolfram alpha website wolfram alpha apis ai products wolfram ai ecosystem wolfram foundation tool wolfram cloud mcp wolfram local mcp agent one api cag component apis core technologies wolfram language computable data wolfram notebooks linguistic understanding additional deployment options wolfram cloud wolfram web engine wolframscript wstpserver group organizational licensing all products consulting solutions wolfram consulting data science finance business artificial intelligence data science healthcare real estate engineering civil engineering automotive engineering sustainable energy science technology agtech biosciences environmental science food science quantum computation social and behavioral sciences more wolfram solutions technology for education research universities colleges teaching universities high schools resources for students education initiatives next gen edtech computer based math more solutions for education contact us learning support get started wolfram language introduction fast intro for programmers fast intro for math students wolfram language documentation grow your skills wolfram u courses in computing science life and more community learn solve problems and share ideas blog news views and insights from wolfram resources for software developers tech support contact us support faqs more learning highlighted core areas demonstrations youtube daily study groups wolfram schools and programs books support faqs contact us company about wolfram career center all sites resources connect follow contact us work with us student ambassador initiative wolfram for startups student opportunities jobs using wolfram language educational programs for adults summer school winter school educational programs for youth middle school camp high school research program computational adventures read stephen wolfram s writings wolfram blog wolfram tech books wolfram media complex systems educational resources wolfram mathworld wolfram in stem wolfram challenges wolfram problem generator wolfram initiatives wolfram science wolfram foundation history of mathematics project events stephen wolfram livestreams online in person events contact us connect follow for ais wolfram cloud your account user portal enable javascript to interact with content and submit forms on wolfram websites learn how wolfram language system documentation center close exclusions see also exclusionsstyle regionfunction plot plot3d parametricplot parametricplot3d densityplot contourplot related guides plotting options controls options options styling for interactive manipulation see also exclusionsstyle regionfunction plot plot3d parametricplot parametricplot3d densityplot contourplot related guides plotting options controls options options styling for interactive manipulation exclusions is an option that specifies where to exclude in regions used by functions like plot plot3d and nintegrate details examples basic examples scope possible issues see also related guides history cite this page built in symbol see also exclusionsstyle regionfunction plot plot3d parametricplot parametricplot3d densityplot contourplot related guides plotting options controls options options styling for interactive manipulation see also exclusionsstyle regionfunction plot plot3d parametricplot parametricplot3d densityplot contourplot related guides plotting options controls options options styling for interactive manipulation exclusions exclusions is an option that specifies where to exclude in regions used by functions like plot plot3d and nintegrate details the following settings specify what to exclude none no exclusions all all computed exclusions automatic automatically computed exclusions discontinuities computed jump discontinuities singularities computed singularities lhs rhs explicitly defined by an equation lhs rhs cond explicitly defined by an equation and a condition spec 1 spec 2 union of exclusions given by spec i exclusions automatic is effectively equivalent to exclusions all if performancegoal is quality and to exclusions none otherwise for a domain defined by n variables exclusions must be of dimension for a domain defined by one variable exclusions x 1 x 2 will exclude the points x i exclusions discontinuities typically includes piecewise discontinuities and branch cut discontinuities exclusions singularities typically includes poles and essential singularities the automatically computed exclusions will typically include potential discontinuities and singularities including removable discontinuities and singularities for plotting functions exclusionsstyle specifies how to draw exclusions and their boundaries examples open all close all basic examples 5 exclude portions of a surface where it has jumps wolfram language code plot3d im arcsin x i y 3 x 2 2 y 2 2 mesh none leave the surface entirely connected wolfram language code plot3d im sqrt x i y x 2 2 y 2 2 exclusions none mesh none exclude portions of a curve where it has jumps wolfram language code polarplot floor θ θ 0 4pi plotstyle thick exclude a fixed set of points wolfram language code parametricplot mod u pi 10 cos u mod u pi 10 sin u u 0 2pi exclusions range 0 2pi pi 10 specify where the function is discontinuous wolfram language code densityplot tan x y x 2 2 y 2 2 exclusions cos x y 0 scope 6 exclude areas where the function has jump discontinuities wolfram language code plot ceiling x tan x x 0 pi exclusions discontinuities exclude areas where the function has singularities wolfram language code plot ceiling x tan x x 0 pi exclusions singularities specify the style to use for excluded portions of a curve wolfram language code plot tan x x 0 10 exclusionsstyle red use dotted lines to connect portions of the curve and red points where there are jumps wolfram language code plot floor x x 0 5 exclusionsstyle dotted red use transparency to show excluded portions of the surface wolfram language code plot3d im arcsin x i y 3 x 2 2 y 2 2 exclusionsstyle opacity 0 5 use thick red lines around the edges of the excluded portions of the surface wolfram language code plot3d im arcsin x i y 3 x 2 2 y 2 2 exclusionsstyle none directive red thick possible issues 2 removable singularities may be detected wolfram language code plot sin x x x 5 5 exclusionsstyle none directive red absolutepointsize 5 use exclusions none to ignore the singularity wolfram language code plot sin x x x 5 5 exclusions none exclusionsstyle none directive red absolutepointsize 5 sinc x is equivalent to sin x x but does not have a singularity at wolfram language code plot sinc x x 5 5 exclusionsstyle none directive red absolutepointsize 5 some discontinuities and singularities may not be detected wolfram language code f x_ numericq first nearest prime range 10 x wolfram language code plot f x x 0 15 specify where the discontinuities are wolfram language code plot f x x 0 15 exclusions 2 5 4 6 9 12 see also exclusionsstyle regionfunction plot plot3d parametricplot parametricplot3d densityplot contourplot related guides plotting options controls options options styling for interactive manipulation history introduced in 2007 6 0 updated in 2016 11 0 cite this as wolfram research 2007 exclusions wolfram language function https reference wolfram com language ref exclusions html updated 2016 text wolfram research 2007 exclusions wolfram language function https reference wolfram com language ref exclusions html updated 2016 cms wolfram language 2007 exclusions wolfram language system documentation center wolfram research last modified 2016 https reference wolfram com language ref exclusions html apa wolfram language 2007 exclusions wolfram language system documentation center retrieved from https reference wolfram com language ref exclusions html bibtex misc reference wolfram_2026_exclusions author wolfram research title exclusions year 2016 howpublished url https reference wolfram com language ref exclusions html note accessed 05 october 2026 biblatex online reference wolfram_2026_exclusions organization wolfram research title exclusions year 2016 url https reference wolfram com language ref exclusions html note accessed 05 october 2026 give feedback top introduction for programmers introductory book wolfram function repository wolfram data repository wolfram data drop wolfram language products top products wolfram one mathematica ai access compute services system modeler wolfram alpha notebook edition wolfram alpha pro mobile apps wolfram engine wolfram player volume site licensing server deployment options consulting wolfram consulting repositories data repository function repository community paclet repository neural net repository prompt repository wolfram language example repository notebook archive wolfram github learning wolfram u wolfram language documentation webinars training educational programs wolfram language introduction fast introduction for programmers fast introduction for math students books wolfram community wolfram blog public resources wolfram alpha wolfram problem generator wolfram challenges computer based math computational thinking computational adventures demonstrations project wolfram data drop mathworld wolfram science wolfram media publishing customer resources store product downloads user portal your account organization access support faq contact support company about wolfram careers contact events wolfram community wolfram blog facebook x twitch linkedin youtube wolfram legal privacy policy wolframalpha com wolframcloud com facebook x twitch linkedin youtube wolfram 2026 wolfram 2026 wolfram legal privacy policy english