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Best answer by ttokoro

Traces, Change Type, Column Trace.

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5 replies

C
Cornel19-TanzaniteAuthor
19-Tanzanite
July 21, 2023

and

Cornel_2-1689926643506.png

Cornel_3-1689926650186.png

 

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ttokoro
21-Topaz I
ttokoro21-Topaz I
21-Topaz I
July 21, 2023

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t.t.
    ttokoro
    21-Topaz I
    ttokoro21-Topaz IAnswer
    21-Topaz I
    July 21, 2023

    Traces, Change Type, Column Trace.

    image.pngimage.png

     

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    t.t.
      W
      Werner_E25-Diamond I
      25-Diamond I
      July 21, 2023

      Maybe that way

      Werner_E_1-1689933909133.png

      Werner_E_2-1689933932826.png

      Werner_E_3-1689933954031.pngWerner_E_4-1689933967064.png

      I had not done so, but actually the color fills should be placed in the plot first and only then followed by f(x) and f(X) so these would be on top and visible!

       

       

       

        W
        Werner_E25-Diamond I
        25-Diamond I
        July 21, 2023

        You may wonder, why the usage of Fill() required the argument

        Werner_E_0-1689937909877.png

        This is because my Fill() function is designed to shade the area between the graphs of two functions, not necessarily between the x-axis and one function. So this expression simply is the function for the x-axis.

        Werner_E_1-1689938112291.png

         

         

          C
          Cornel19-TanzaniteAuthor
          19-Tanzanite
          July 21, 2023

          Do you know some similar variant like @ttokoro showed above for shading the area between the x-axis and one graph using xa and xb ranges but now for shading the area between two graphs? Or is it not possible such a variant using some xa/xb ranges for shading the are between the 2 graphs? I mean writing like that: xa = ...., xb = ...., xc= ...., xd = ...., and then plotting these variables with f(xa), f(xb), f(xc), etc, the area between 2 graphs to be colored.

          W
          Werner_E25-Diamond I
          25-Diamond I
          July 21, 2023

          One last remark - if you really want to dig into the depths of shading regions using Primes native plot, you should study the comprehensive 30-page (nothing of value comes easy) worksheet of Prof. Byrge Birkeland.

          You may know his outstanding work on "Amazing Images" for real Mathcad:

          Werner_E_0-1689972495572.png

          Here some appetizers from his work on shading areas in Prime:

          Werner_E_1-1689972608024.pngWerner_E_2-1689972659738.pngWerner_E_3-1689972758948.png

          Werner_E_7-1689973003128.pngWerner_E_5-1689972932248.png

          Werner_E_8-1689973075166.pngWerner_E_9-1689973096470.png

           

          The attached file stems back from 2013, so I guess its in Prime 2 format.

          Have fun!

           

           

           

           

           

           

           

           

           

            C
            Cornel19-TanzaniteAuthor
            19-Tanzanite
            July 24, 2023

            @LucMeekes @Werner_E @ttokoro 

            How to do like this?

            Cornel_9-1690188093833.png
            Cornel_10-1690188099666.png

            Cornel_11-1690188110733.png

            Cornel_12-1690188116841.png

            Cornel_13-1690188124248.png

             

            Cornel_8-1690188043640.png 

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            Cornel_0-1690187926073.pngCornel_1-1690187933255.pngCornel_2-1690187942791.pngCornel_3-1690187949129.png

             

            Cornel_4-1690187961750.pngCornel_5-1690187968914.pngCornel_6-1690187975609.png


            Mathcad Prime 8 file attached.

            ttokoro
            21-Topaz I
            ttokoro21-Topaz I
            21-Topaz I
            July 24, 2023

            Only this plot use a tric. Others are only plot 2 Line Traces and One Column Trace. 

            image.png

            t.t.
            L
            LucMeekes23-Emerald IV
            23-Emerald IV
            July 23, 2023

            For those limited to express, the following set of functions implement @Werner_E 's Fill() function with the added benefit that it also accepts scalars instead of functions, so the construct "tmp(x)<-0" is not needed:

            LucMeekes_0-1690122886737.png

            LucMeekes_1-1690122897795.png

            example:

            LucMeekes_5-1690123076916.png

            LucMeekes_2-1690123041010.png

            LucMeekes_3-1690123049264.png

            LucMeekes_4-1690123056286.png

             

            Prime4 file attached.

             

            Success!
            Luc

             

             

             

              L
              LucMeekes23-Emerald IV
              23-Emerald IV
              July 26, 2023

              I managed to get Fill() for Prime Express into a single function:

              LucMeekes_0-1690363840030.png

              Success!
              Luc

              C
              Cornel19-TanzaniteAuthor
              19-Tanzanite
              July 26, 2023

              @LucMeekes @Werner_E @ttokoro 
              So, from my understanding, all above functions that you posted so far are for the following 2 variants:

              Cornel_1-1690365491842.png

               

              Cornel_0-1690365395035.png


              So, for the variant when someone wants to fill with colour the area between one function f(x), two points given on the x-axis x1 and x2, and x-axis (0 line). or for the variant when someone wants to fill with colour the area between 2 functions f(x) and g(x) and 2 points given on the x-axis x1 and x2.

              But when someone wants to fill with colour the area between 3 functions f(x), g(x) and h(x) and only one point given on the x-axis x1 or when someone wants to fill with colour the area between 4 functions f(x), g(x), h(x) and t(x), then is it possible something like that?

              Cornel_2-1690365748843.png

               

              Cornel_3-1690365767516.png

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