Visualizing the difference curve in a 2D plot?












2












$begingroup$


I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:




  1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


  2. Mark one side of the curve with red.



I tried to use Plot3D like the following



myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];

Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]


It gives what I expected, but how can I do this in a 2D plot?






plotting







share|improve this question











$endgroup$

















    2












    $begingroup$


    I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:




    1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


    2. Mark one side of the curve with red.



    I tried to use Plot3D like the following



    myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
    
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]


    It gives what I expected, but how can I do this in a 2D plot?






    plotting







    share|improve this question











    $endgroup$















      2












      2








      2





      $begingroup$


      I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:




      1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


      2. Mark one side of the curve with red.



      I tried to use Plot3D like the following



      myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
      
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]


      It gives what I expected, but how can I do this in a 2D plot?






      plotting







      share|improve this question











      $endgroup$




      I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:




      1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


      2. Mark one side of the curve with red.



      I tried to use Plot3D like the following



      myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
      
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]


      It gives what I expected, but how can I do this in a 2D plot?






      plotting




      plotting






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 38 mins ago









      m_goldberg

      87.7k872198




      87.7k872198










      asked 6 hours ago









      David Xiaoyu XuDavid Xiaoyu Xu

      244




      244






















          2 Answers
          2






          active

          oldest

          votes


















          3












          $begingroup$

          RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]





          share|improve this answer









          $endgroup$













          • $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            6 hours ago



















          1












          $begingroup$

          ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 
          
  Contours -> {{0}}, ContourShading -> {None, Red}]





          share|improve this answer









          $endgroup$













            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "387"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: false,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: null,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f193674%2fvisualizing-the-difference-curve-in-a-2d-plot%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3












            $begingroup$

            RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]





            share|improve this answer









            $endgroup$













            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              6 hours ago
















            3












            $begingroup$

            RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]





            share|improve this answer









            $endgroup$













            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              6 hours ago














            3












            3








            3





            $begingroup$

            RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]





            share|improve this answer









            $endgroup$



            RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]






            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 6 hours ago









            Henrik SchumacherHenrik Schumacher

            57.3k577157




            57.3k577157












            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              6 hours ago


















            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              6 hours ago
















            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            6 hours ago




            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            6 hours ago











            1












            $begingroup$

            ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 
            
  Contours -> {{0}}, ContourShading -> {None, Red}]





            share|improve this answer









            $endgroup$


















              1












              $begingroup$

              ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 
              
  Contours -> {{0}}, ContourShading -> {None, Red}]





              share|improve this answer









              $endgroup$
















                1












                1








                1





                $begingroup$

                ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 
                
  Contours -> {{0}}, ContourShading -> {None, Red}]





                share|improve this answer









                $endgroup$



                ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 
                
  Contours -> {{0}}, ContourShading -> {None, Red}]






                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 5 hours ago









                kglrkglr

                189k10206424




                189k10206424






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Mathematica Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid …



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f193674%2fvisualizing-the-difference-curve-in-a-2d-plot%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    -

                    Popular posts from this blog

                    flock() on closed filehandle LOCK_FILE at /usr/bin/apt-mirror

                    Image
                    0 I recently upgraded an Ubuntu 16.04 virtual machine to 18.04. I regularly use this VM to run apt-mirror at school on their high-speed internet, then rsync these files to my rack-mount server at home for updating multiple computers at home without wasting the tiny amount of bandwidth I have there. Since updating I can't get apt-mirror to run on my VM. It keeps giving the error: flock() on closed filehandle LOCK_FILE at /usr/bin/apt-mirror line 214 immediately followed by: apt-mirror is already running, exiting at /usr/bin/apt-mirror line 217 apt-mirror is NOT running, and does not have a cron job. I've tried rebooting, and even looked for the old-style lockfile to delete, but I guess that method is no longer used. Is there some way to force unlock this so I can run apt-mirror? UPDATE: So... I f...
                    Read more

                    Mangá

                    Image
                      Nota:  Não confundir com Manga. Mangás e Animes Mangá Mangaká • Tankōbon Film comic La nouvelle manga Mangá original em inglês Anime História Animação influenciada por animes • Filler • OVA • Seiyū Públicos Kodomo • Shōjo • Shōnen Josei • Seinen Gêneros Mahō shōjo • Mecha • Harém Ecchi • Hentai ( Yaoi • Yuri Futanari • Shotacon • Lolicon Toddlercon ) Termos Bishōjo • Chibi • Fan service Gaiden • Kawaii • Kaitō • Light novel Mahō shōnen • Moe (antropomorfismo • Kemonomimi Nekomimi ) • Super deformed Omake • Tsundere • Yonkoma Listas Mangás • Animes • Ecchi • Mangaka • Estúdios • Revistas Fãs ( otaku ) Anime Music Video Convenções • Cosplay Dōjinshi • Fansub • Fandub • Fujoshi OS-tan • Scanlation Portal de Anime e mangá v d e O mangá (português brasileiro) ou manga (português europeu) [ 1 ] (em japonês: 漫画 , manga ? , lit. “história em quadrinhos”) , é a ...
                    Read more

                    Eduardo VII do Reino Unido

                    Image
                    Eduardo VII Rei do Reino Unido da Grã-Bretanha e Irlanda e dos Domínios Britânicos de Além-mar Imperador da Índia Rei do Reino Unido e Imperador da Índia Reinado 22 de janeiro de 1901 a 6 de maio de 1910 Coroação 9 de agosto de 1902 Delhi Durbar 1 de janeiro de 1903 Predecessora Vitória Sucessor Jorge V   Esposa Alexandra da Dinamarca Descendência Alberto Vitor, Duque de Clarence e Avondale Jorge V do Reino Unido Luísa, Princesa Real Vitória de Gales Maud de Gales Alexandre João de Gales Casa Saxe-Coburgo-Gota Nome completo Alberto Eduardo Nascimento 9 de novembro de 1841   Palácio de Buckingham, Londres, Reino Unido Morte 6 de maio de 1910 (68 anos)   Palácio de Buckingham, Londres, Reino Unido Enterro Capela de São Jorge, Windsor, Berkshire, Reino Unido 20 de maio de 1910 Pai Alberto de Saxe-Coburgo-Gota Mãe Vitória do Reino Unido Assinatura ...
                    Read more