Vector based on a set and in the order of another vector











up vote
0
down vote

favorite












This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.










share|cite|improve this question
























  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday















up vote
0
down vote

favorite












This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.










share|cite|improve this question
























  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday













up vote
0
down vote

favorite









up vote
0
down vote

favorite











This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.










share|cite|improve this question















This feels like a very basic question, so I hope I am not in the wrong place.



I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].



I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.



Is there a more mathematically exact way of writing this?



Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].



Thanks in advance.







vectors






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited yesterday

























asked yesterday









oldmansaur

274




274












  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday


















  • I'm not sure what your question is. You just gave the definition.
    – user3482749
    yesterday










  • thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
    – oldmansaur
    yesterday










  • Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
    – user3482749
    yesterday
















I'm not sure what your question is. You just gave the definition.
– user3482749
yesterday




I'm not sure what your question is. You just gave the definition.
– user3482749
yesterday












thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
yesterday




thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
yesterday












Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
yesterday




Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
yesterday










1 Answer
1






active

oldest

votes

















up vote
0
down vote



accepted










CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






share|cite|improve this answer





















    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',
    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%2f3005090%2fvector-based-on-a-set-and-in-the-order-of-another-vector%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








    up vote
    0
    down vote



    accepted










    CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






    share|cite|improve this answer

























      up vote
      0
      down vote



      accepted










      CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






      share|cite|improve this answer























        up vote
        0
        down vote



        accepted







        up vote
        0
        down vote



        accepted






        CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.






        share|cite|improve this answer












        CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered yesterday









        Stockfish

        41726




        41726






























             

            draft saved


            draft discarded



















































             


            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005090%2fvector-based-on-a-set-and-in-the-order-of-another-vector%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?

            ts Property 'filter' does not exist on type '{}'

            Notepad++ export/extract a list of installed plugins