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vyerokhin10-Marble
10-Marble
November 22, 2018
Solved

Plotting steps

How do I create a plot that looks like "steps", based on a table like shown in attached table and graph?table.PNG

 

graph.PNG

 

    Werner_E
    Werner_EAnswer
    25-Diamond I
    November 25, 2018

    As an addendum here is an approach which similarly to Luc's creates two vectors which can be plotted one over the other and also adds the vertical line at the beginning and the horizontal line at the and.

    B.jpg

    Worksheet in Prime 5 format attached.

     

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    21 replies

    AlanStevens19-Tanzanite
    19-Tanzanite
    November 22, 2018

    Try  time=(0.1 0.2 0.2 0.5 0.5 1 1 1.3)^T.   y=(1.2 1.2 1.1 1.1 0.9 0.9 0.5 0.5)^T

     

    (Note: the “^T” means take the transpose. Alternatively, enter the data directly as column vectors)

     

     

    Alan

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      Fred_Kohlhepp23-Emerald I
      23-Emerald I
      November 22, 2018

      The function "linterp" is great for drawing straight lines between points.  As Alan points out to get steps you need the abcissa (y) to be double valued and the ordinate (x) to match.  (For linterp you need x to be lncreasing (no values the same), so

       

      x ;= (0.1  0.1999  0.2  0.2999

      and

      y:=(1.2    1.2   1.1   1.1   

       

      then

      Fn(xx):=linterp(x,y,xx)

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        LucMeekes23-Emerald IV
        23-Emerald IV
        November 22, 2018

        Here's another way:

        LM_20181122_PlottingSteps.png

         

        Prime 3.1 file attached. Runs in Express!

        Success!
        Luc

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          LucMeekes23-Emerald IV
          23-Emerald IV
          November 25, 2018

          For a logarithmic horizontal axis:

           

          LM_20181126_PlotPoints.png

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            Werner_E
            Werner_E25-Diamond I
            25-Diamond I
            November 22, 2018

            Here are two alternatives for creating the desired step function using just the two vectors you defined.

            B.PNG

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              vyerokhin10-MarbleAuthor
              10-Marble
              November 22, 2018

              Thank you so so much, everyone!!! I especially love the last 2 posts which use only the given table and do everything else automatically. 

              Werner_E, (or anyone else) could you please explain how to get those 2 vertical parallel lines that come right after you define stepfun1 and stepfun2?

               

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              LucMeekes23-Emerald IV
              23-Emerald IV
              November 22, 2018

              To Define a Program:

              On the Math tab, in the Operators and Symbols group, click Programming, and then click the Program operator, shown as a symbol with two vertical bars. A program with an empty placeholder appears.

              Unless you don't have a full Prime license, but use Prime Express.

               

              Success!

              Luc

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                vyerokhin10-MarbleAuthor
                10-Marble
                November 25, 2018

                A few more questions:

                Q1) Is there any way to plot a vertical line up, as shown in red, from the first point, using the given data? or would I need to manually enter another point to be the first point?

                graph2.PNG

                 

                Q2) If my first point starts with time=0, and I want to use a log scale - Do I need to manually change the "0" to something like "0.001", or does Mathcad have a way to do this automatically?

                 

                Q3) Using the method that "@Werner_E" showed, the curve gets distorted when using a log scale. Is there a way around this?

                graph3.PNG

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                LucMeekes23-Emerald IV
                23-Emerald IV
                November 25, 2018

                Q1: "or would I need to manually enter another point to be the first point?"
                Yes, that would be a better idea. Using that you are in control of how large the vertical axis should become.

                Q2:
                Time on a logarithmic scale?
                Unusual, but possible. Mathcad does NOT have a way to do this automatically. When a value can be zero, it might just as easily go negative. Where should it go?
                So: If you know you're going to plot on a logartithmic scale, make sure no negative or zero values are present.

                Q3:
                Is there a way around distorted curves using the autoplot feature?
                Yes: Use Luc's method. It does not make use of autoplot, and has the advantage that you do NOT need to add trace expressions to include plot points (symbols) when you want to show them:

                LM_20181126_PlottingSteps.png

                 (Put a star on every corner)

                {On the other side of the coin: If you want to plot something else against time in the same plot and want to have the curves aligned, you need time1 as a separate expression for the x-axis.}

                 

                Success!

                Luc

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                  vyerokhin10-MarbleAuthor
                  10-Marble
                  November 26, 2018

                  Thank you again, Luc and Werner_E!!!

                  Luc - can you please explain your statement a little more:

                  "{On the other side of the coin: If you want to plot something else against time in the same plot and want to have the curves aligned, you need time1 as a separate expression for the x-axis.}"

                  I do want to add more curves to this plot - but I'm not understanding what issue you are talking about.

                   

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                  -MFra-21-Topaz II
                  21-Topaz II
                  June 22, 2019

                  Hi,

                  Use of the Heaviside step function:

                  staircase.jpg

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