Combinatorics Terminology: Finite Sequence of Symbols Modulo Reversal












0












$begingroup$


Simple question, hard to Google:



What do we call the combinatorial species that associates a set of symbols with linear configuration or chain of symbols without a designated first or last symbol? Or the combinatorial species of finite sequences modulo identification under reversal?



Edit: a linear necklace? A bar?










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    Simple question, hard to Google:



    What do we call the combinatorial species that associates a set of symbols with linear configuration or chain of symbols without a designated first or last symbol? Or the combinatorial species of finite sequences modulo identification under reversal?



    Edit: a linear necklace? A bar?










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      Simple question, hard to Google:



      What do we call the combinatorial species that associates a set of symbols with linear configuration or chain of symbols without a designated first or last symbol? Or the combinatorial species of finite sequences modulo identification under reversal?



      Edit: a linear necklace? A bar?










      share|cite|improve this question











      $endgroup$




      Simple question, hard to Google:



      What do we call the combinatorial species that associates a set of symbols with linear configuration or chain of symbols without a designated first or last symbol? Or the combinatorial species of finite sequences modulo identification under reversal?



      Edit: a linear necklace? A bar?







      combinatorics discrete-mathematics






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 28 '18 at 18:16







      ThoralfSkolem

















      asked Mar 25 '17 at 21:02









      ThoralfSkolemThoralfSkolem

      1,133615




      1,133615






















          1 Answer
          1






          active

          oldest

          votes


















          0












          $begingroup$

          Maybe this helps: https://en.wikipedia.org/wiki/Necklace_%28combinatorics%29.



          In short:
          A finite sequence up to rotational invariance is called "necklace". A finite sequence up to rotation and reflection is called a "bracelet".






          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%2f2202991%2fcombinatorics-terminology-finite-sequence-of-symbols-modulo-reversal%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












            $begingroup$

            Maybe this helps: https://en.wikipedia.org/wiki/Necklace_%28combinatorics%29.



            In short:
            A finite sequence up to rotational invariance is called "necklace". A finite sequence up to rotation and reflection is called a "bracelet".






            share|cite|improve this answer









            $endgroup$


















              0












              $begingroup$

              Maybe this helps: https://en.wikipedia.org/wiki/Necklace_%28combinatorics%29.



              In short:
              A finite sequence up to rotational invariance is called "necklace". A finite sequence up to rotation and reflection is called a "bracelet".






              share|cite|improve this answer









              $endgroup$
















                0












                0








                0





                $begingroup$

                Maybe this helps: https://en.wikipedia.org/wiki/Necklace_%28combinatorics%29.



                In short:
                A finite sequence up to rotational invariance is called "necklace". A finite sequence up to rotation and reflection is called a "bracelet".






                share|cite|improve this answer









                $endgroup$



                Maybe this helps: https://en.wikipedia.org/wiki/Necklace_%28combinatorics%29.



                In short:
                A finite sequence up to rotational invariance is called "necklace". A finite sequence up to rotation and reflection is called a "bracelet".







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Mar 25 '17 at 21:43









                SimonSimon

                2,275216




                2,275216






























                    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%2f2202991%2fcombinatorics-terminology-finite-sequence-of-symbols-modulo-reversal%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

                    Måne

                    Storängen

                    VLT Carioca