Plotting Complex Sets in a Research Paper












1












$begingroup$


I am meant to "sketch" the set $|z - 1 + i| leq 3$ for my Complex Analysis homework. I am able to draw this set by hand, so my question isn't about that! Rather, I would like to know how a professional mathematician would generate such an image if he or she were submitting the image as part of a journal article. What program/software/code would he or she use?...all I need is a direction to head in!



(For context: I get extra credit in the class for submitting my homework typed out in Latex. And for this question, I'm sure I could just leave a blank space and hand draw the diagram. I also found this answer, which is kind of a hacker way to generate such diagrams. But my aspiration is to become a mathematician, and so I wanna know how a real mathematician would make such a diagram! Thanks in advance!)










share|cite|improve this question









$endgroup$












  • $begingroup$
    This is probably more suited for the TeX StackExchange. But I can recommend using TikZ (a package for producing graphics by writing commands directly in the LaTeX file).
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:24












  • $begingroup$
    You might be interested in this specific example: texample.net/tikz/examples/complex-plane ;-)
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:28










  • $begingroup$
    It is not "unprofessional" to import external graphics in $LaTeX$. That's what the graphicx package is for.
    $endgroup$
    – Christoph
    Jan 27 at 9:30












  • $begingroup$
    Thank you both. @Hans Lundmark, I literally was not aware of the TeX stack exchange until I read your response moments ago. Clearly you are correct that this is a question for that group! I am very grateful for the direction.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47










  • $begingroup$
    @Christoph, this is good information. I suspected that the correct thing to do would be to import a graphic into LaTex. I will definitely have to investigate the graphicx package. Thanks for the recommendation.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47
















1












$begingroup$


I am meant to "sketch" the set $|z - 1 + i| leq 3$ for my Complex Analysis homework. I am able to draw this set by hand, so my question isn't about that! Rather, I would like to know how a professional mathematician would generate such an image if he or she were submitting the image as part of a journal article. What program/software/code would he or she use?...all I need is a direction to head in!



(For context: I get extra credit in the class for submitting my homework typed out in Latex. And for this question, I'm sure I could just leave a blank space and hand draw the diagram. I also found this answer, which is kind of a hacker way to generate such diagrams. But my aspiration is to become a mathematician, and so I wanna know how a real mathematician would make such a diagram! Thanks in advance!)










share|cite|improve this question









$endgroup$












  • $begingroup$
    This is probably more suited for the TeX StackExchange. But I can recommend using TikZ (a package for producing graphics by writing commands directly in the LaTeX file).
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:24












  • $begingroup$
    You might be interested in this specific example: texample.net/tikz/examples/complex-plane ;-)
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:28










  • $begingroup$
    It is not "unprofessional" to import external graphics in $LaTeX$. That's what the graphicx package is for.
    $endgroup$
    – Christoph
    Jan 27 at 9:30












  • $begingroup$
    Thank you both. @Hans Lundmark, I literally was not aware of the TeX stack exchange until I read your response moments ago. Clearly you are correct that this is a question for that group! I am very grateful for the direction.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47










  • $begingroup$
    @Christoph, this is good information. I suspected that the correct thing to do would be to import a graphic into LaTex. I will definitely have to investigate the graphicx package. Thanks for the recommendation.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47














1












1








1





$begingroup$


I am meant to "sketch" the set $|z - 1 + i| leq 3$ for my Complex Analysis homework. I am able to draw this set by hand, so my question isn't about that! Rather, I would like to know how a professional mathematician would generate such an image if he or she were submitting the image as part of a journal article. What program/software/code would he or she use?...all I need is a direction to head in!



(For context: I get extra credit in the class for submitting my homework typed out in Latex. And for this question, I'm sure I could just leave a blank space and hand draw the diagram. I also found this answer, which is kind of a hacker way to generate such diagrams. But my aspiration is to become a mathematician, and so I wanna know how a real mathematician would make such a diagram! Thanks in advance!)










share|cite|improve this question









$endgroup$




I am meant to "sketch" the set $|z - 1 + i| leq 3$ for my Complex Analysis homework. I am able to draw this set by hand, so my question isn't about that! Rather, I would like to know how a professional mathematician would generate such an image if he or she were submitting the image as part of a journal article. What program/software/code would he or she use?...all I need is a direction to head in!



(For context: I get extra credit in the class for submitting my homework typed out in Latex. And for this question, I'm sure I could just leave a blank space and hand draw the diagram. I also found this answer, which is kind of a hacker way to generate such diagrams. But my aspiration is to become a mathematician, and so I wanna know how a real mathematician would make such a diagram! Thanks in advance!)







complex-analysis complex-numbers






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 27 at 9:12









1Teaches2Learn1Teaches2Learn

213




213












  • $begingroup$
    This is probably more suited for the TeX StackExchange. But I can recommend using TikZ (a package for producing graphics by writing commands directly in the LaTeX file).
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:24












  • $begingroup$
    You might be interested in this specific example: texample.net/tikz/examples/complex-plane ;-)
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:28










  • $begingroup$
    It is not "unprofessional" to import external graphics in $LaTeX$. That's what the graphicx package is for.
    $endgroup$
    – Christoph
    Jan 27 at 9:30












  • $begingroup$
    Thank you both. @Hans Lundmark, I literally was not aware of the TeX stack exchange until I read your response moments ago. Clearly you are correct that this is a question for that group! I am very grateful for the direction.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47










  • $begingroup$
    @Christoph, this is good information. I suspected that the correct thing to do would be to import a graphic into LaTex. I will definitely have to investigate the graphicx package. Thanks for the recommendation.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47


















  • $begingroup$
    This is probably more suited for the TeX StackExchange. But I can recommend using TikZ (a package for producing graphics by writing commands directly in the LaTeX file).
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:24












  • $begingroup$
    You might be interested in this specific example: texample.net/tikz/examples/complex-plane ;-)
    $endgroup$
    – Hans Lundmark
    Jan 27 at 9:28










  • $begingroup$
    It is not "unprofessional" to import external graphics in $LaTeX$. That's what the graphicx package is for.
    $endgroup$
    – Christoph
    Jan 27 at 9:30












  • $begingroup$
    Thank you both. @Hans Lundmark, I literally was not aware of the TeX stack exchange until I read your response moments ago. Clearly you are correct that this is a question for that group! I am very grateful for the direction.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47










  • $begingroup$
    @Christoph, this is good information. I suspected that the correct thing to do would be to import a graphic into LaTex. I will definitely have to investigate the graphicx package. Thanks for the recommendation.
    $endgroup$
    – 1Teaches2Learn
    Jan 27 at 9:47
















$begingroup$
This is probably more suited for the TeX StackExchange. But I can recommend using TikZ (a package for producing graphics by writing commands directly in the LaTeX file).
$endgroup$
– Hans Lundmark
Jan 27 at 9:24






$begingroup$
This is probably more suited for the TeX StackExchange. But I can recommend using TikZ (a package for producing graphics by writing commands directly in the LaTeX file).
$endgroup$
– Hans Lundmark
Jan 27 at 9:24














$begingroup$
You might be interested in this specific example: texample.net/tikz/examples/complex-plane ;-)
$endgroup$
– Hans Lundmark
Jan 27 at 9:28




$begingroup$
You might be interested in this specific example: texample.net/tikz/examples/complex-plane ;-)
$endgroup$
– Hans Lundmark
Jan 27 at 9:28












$begingroup$
It is not "unprofessional" to import external graphics in $LaTeX$. That's what the graphicx package is for.
$endgroup$
– Christoph
Jan 27 at 9:30






$begingroup$
It is not "unprofessional" to import external graphics in $LaTeX$. That's what the graphicx package is for.
$endgroup$
– Christoph
Jan 27 at 9:30














$begingroup$
Thank you both. @Hans Lundmark, I literally was not aware of the TeX stack exchange until I read your response moments ago. Clearly you are correct that this is a question for that group! I am very grateful for the direction.
$endgroup$
– 1Teaches2Learn
Jan 27 at 9:47




$begingroup$
Thank you both. @Hans Lundmark, I literally was not aware of the TeX stack exchange until I read your response moments ago. Clearly you are correct that this is a question for that group! I am very grateful for the direction.
$endgroup$
– 1Teaches2Learn
Jan 27 at 9:47












$begingroup$
@Christoph, this is good information. I suspected that the correct thing to do would be to import a graphic into LaTex. I will definitely have to investigate the graphicx package. Thanks for the recommendation.
$endgroup$
– 1Teaches2Learn
Jan 27 at 9:47




$begingroup$
@Christoph, this is good information. I suspected that the correct thing to do would be to import a graphic into LaTex. I will definitely have to investigate the graphicx package. Thanks for the recommendation.
$endgroup$
– 1Teaches2Learn
Jan 27 at 9:47










1 Answer
1






active

oldest

votes


















0












$begingroup$

Another tool that can be incorporated into LaTeX documents: Asymptote. It's a programming language, so there's a learning curve there. On the plus side, it comes standard with TeX distributions, and the usual editors can easily be configured to run Asymptote code in the same .tex file as everything else.



Drawing circles is in the base capabilities of Asymptote even before importing any of the standard libraries.






share|cite|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: "69"
    };
    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: true,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: 10,
    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
    },
    noCode: true, onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3089314%2fplotting-complex-sets-in-a-research-paper%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0












    $begingroup$

    Another tool that can be incorporated into LaTeX documents: Asymptote. It's a programming language, so there's a learning curve there. On the plus side, it comes standard with TeX distributions, and the usual editors can easily be configured to run Asymptote code in the same .tex file as everything else.



    Drawing circles is in the base capabilities of Asymptote even before importing any of the standard libraries.






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      Another tool that can be incorporated into LaTeX documents: Asymptote. It's a programming language, so there's a learning curve there. On the plus side, it comes standard with TeX distributions, and the usual editors can easily be configured to run Asymptote code in the same .tex file as everything else.



      Drawing circles is in the base capabilities of Asymptote even before importing any of the standard libraries.






      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        Another tool that can be incorporated into LaTeX documents: Asymptote. It's a programming language, so there's a learning curve there. On the plus side, it comes standard with TeX distributions, and the usual editors can easily be configured to run Asymptote code in the same .tex file as everything else.



        Drawing circles is in the base capabilities of Asymptote even before importing any of the standard libraries.






        share|cite|improve this answer









        $endgroup$



        Another tool that can be incorporated into LaTeX documents: Asymptote. It's a programming language, so there's a learning curve there. On the plus side, it comes standard with TeX distributions, and the usual editors can easily be configured to run Asymptote code in the same .tex file as everything else.



        Drawing circles is in the base capabilities of Asymptote even before importing any of the standard libraries.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Jan 27 at 9:49









        jmerryjmerry

        16k1633




        16k1633






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to Mathematics 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%2fmath.stackexchange.com%2fquestions%2f3089314%2fplotting-complex-sets-in-a-research-paper%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

            Can a sorcerer learn a 5th-level spell early by creating spell slots using the Font of Magic feature?

            Does disintegrating a polymorphed enemy still kill it after the 2018 errata?

            A Topological Invariant for $pi_3(U(n))$