Inverting the order of a Table - Prime numbers












1














In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[

     table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],

     TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]



     (* True *)



     ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?






plotting table prime-numbers







share|improve this question


















  • 1




    Reverse.....?
    – Henrik Schumacher
    3 hours ago
















1














In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[

     table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],

     TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]



     (* True *)



     ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?






plotting table prime-numbers







share|improve this question


















  • 1




    Reverse.....?
    – Henrik Schumacher
    3 hours ago














1












1








1







In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[

     table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],

     TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]



     (* True *)



     ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?






plotting table prime-numbers







share|improve this question













In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[

     table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],

     TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]



     (* True *)



     ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?






plotting table prime-numbers




plotting table prime-numbers






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 4 hours ago









Spook82

244




244








  • 1




    Reverse.....?
    – Henrik Schumacher
    3 hours ago














  • 1




    Reverse.....?
    – Henrik Schumacher
    3 hours ago








1




1




Reverse.....?
– Henrik Schumacher
3 hours ago




Reverse.....?
– Henrik Schumacher
3 hours ago










1 Answer
1






active

oldest

votes


















3














Use the option DataReversed:



ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 

 DataReversed -> True, Mesh -> All]


enter image description here



table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];

ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 

   DataReversed -> True, Mesh -> All]


enter image description here






share|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: "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%2f188655%2finverting-the-order-of-a-table-prime-numbers%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









    3














    Use the option DataReversed:



    ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
    
 DataReversed -> True, Mesh -> All]


    enter image description here



    table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
    
ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
    
   DataReversed -> True, Mesh -> All]


    enter image description here






    share|improve this answer


























      3














      Use the option DataReversed:



      ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
      
 DataReversed -> True, Mesh -> All]


      enter image description here



      table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
      
ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
      
   DataReversed -> True, Mesh -> All]


      enter image description here






      share|improve this answer
























        3












        3








        3






        Use the option DataReversed:



        ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
        
 DataReversed -> True, Mesh -> All]


        enter image description here



        table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
        
ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
        
   DataReversed -> True, Mesh -> All]


        enter image description here






        share|improve this answer












        Use the option DataReversed:



        ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
        
 DataReversed -> True, Mesh -> All]


        enter image description here



        table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
        
ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
        
   DataReversed -> True, Mesh -> All]


        enter image description here







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 4 hours ago









        kglr

        177k9198404




        177k9198404






























            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.





            Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


            Please pay close attention to the following guidance:


            • 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.


            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%2f188655%2finverting-the-order-of-a-table-prime-numbers%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

            Plaza Victoria

            Image
            Plaza Victoria Plaza Victoria en 2017 Otros nombres Plaza de La Victoria Localización El Almendral, Valparaíso, Chile Vías adyacentes Chacabuco, Molina, Plaza Victoria y Edwards Creación 1841 Metro Bellavista Ubicación 33°02′46″S 71°37′11″O  /  -33.04624167, -71.61980833 Coordenadas: 33°02′46″S 71°37′11″O  /  -33.04624167, -71.61980833 [editar datos en Wikidata] La Plaza Victoria , también llamada Plaza de la Victoria , [ 1 ] ​ es una plaza ubicada en el sector El Almendral del plan de la ciudad de Valparaíso, Chile, de importancia patrimonial, que incluye valiosas estatuas y especies vegetales. [ 2 ] ​ La plaza se creó como tal en la primera mitad del siglo XIX, tomando previamente los nombres de Plaza Nueva y Plaza de Orrego . Si bien desde sus inicios tuvo relevancia histórica, no fue sino a partir de fines de los años 1860 cuando comenzó a cobrar mayor importancia y se convirtió en uno de los principales centros sociales de l...
            Read more

            Puebla de Zaragoza

            Image
            Para otros usos de este término, véase Puebla (desambiguación). Heroica Puebla de Zaragoza Localidad De arriba a abajo de izquierda a derecha: Estrella de Puebla, Volcán Popocatépetl, Catedral de Puebla, Monumento a Ignacio Zaragoza, Estadio Cuauhtémoc, Angelópolis y Vista panorámica de la ciudad. Escudo Otros nombres: El relicario de América/ La ciudad de los Ángeles/ La Angelópolis Lema: Muy noble y muy leal ciudad de Puebla de los Ángeles Heroica Puebla de Zaragoza Localización de Heroica Puebla de Zaragoza en México Heroica Puebla de Zaragoza Localización de Heroica Puebla de Zaragoza en Puebla Mapa interactivo Coordenadas 19°03′05″N 98°13′04″O  /  19.051388888889, -98.217777777778 Coordenadas: 19°03′05″N 98°13′04″O  /  19.051388888889, -98.217777777778 Idioma oficial Español Entidad Localidad  • País   México  • Estado Puebla  • Municipio Puebla Presidente municipal Claudia Rivera Vivanc...
            Read more

            Musa

            Image
            Para el género de plantas, véase Musa (planta). Apolo y la Nueve Musas En la mitología griega, las musas (en griego antiguo μοῦσαι « mousai» ) son, según los escritores más antiguos, las divinidades inspiradoras de las Artes: cada una de ellas está relacionada con ramas artísticas y del conocimiento. Son hijas de Zeus y de Mnemósine, compañeras del séquito de Apolo, dios olímpico de la música y patrón de las bellas artes, quien tuvo romances con cada una de ellas, dejando descendientes. Bajaban a la tierra a susurrar ideas e inspirar a aquellos mortales que las invocaran. En la época más arcaica eran las ninfas inspiradoras de las fuentes, en las cuales eran adoradas. Finalmente, alrededor de los siglos VIII-VII a. C. [ 1 ] ​ prevaleció en todo el territorio de la Hélade la adoración de las nueve Musas, que son Calíope, Clío, Erato, Euterpe, Melpómene, Polimnia, Talía, Terpsícore y Urania. El culto a las musas era originalmente de Tracia y Beocia, y fueron de vital impo...
            Read more