Mathematica 9 is now available
Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2011

[Date Index] [Thread Index] [Author Index]

Search the Archive

DiscretePlot or Plot to get subdivided bars?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg121319] DiscretePlot or Plot to get subdivided bars?
  • From: "Christopher O. Young" <cy56 at comcast.net>
  • Date: Sat, 10 Sep 2011 07:29:02 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

I'm trying to get bars which will be divided up into unit squares, so I can
illustrate finite differences and their relation to derivatives.

Is there any way to use some special filling directives with DiscretePlot in
order to do this?

The notebook is at http://home.comcast.net/~cy56/DiscretePlotBars.nb and a
picture is at http://home.comcast.net/~cy56/DiscretePlotBars.png.

Maybe the quickest way to do this is to write my own function.

Chris Young
cy56 at comcast.net


Manipulate[
 Show[
  {
   Plot[
    p[a, b, c, d, x],
    {x, Subscript[x, 1], Subscript[x, 2]},
    PlotStyle -> Red
    ],
   
   Plot[
    \!\(
\*SubscriptBox[\(\[PartialD]\), \(x\)]\(p[a, b, c, d, x]\)\) //
     Evaluate,
    {x, Subscript[x, 1], Subscript[x, 2]},
    PlotStyle -> Orange
    ],
   
   DiscretePlot[
    p[a, b, c, d, x],
    {x, Subscript[x, 1], Subscript[x, 2]},
    ExtentSize -> 0.4,
    PlotMarkers -> {"Point", Medium},
    PlotStyle -> Red,
    Filling -> Axis
    ],
   
   DiscretePlot[
    \!\(
\*SubscriptBox[\(\[PartialD]\), \(x\)]\(p[a, b, c, d, x]\)\) //
     Evaluate,
    {x, Subscript[x, 1] + 0.5, Subscript[x, 2] + 0.5},
    ExtentSize -> 0.4,
    PlotMarkers -> {"Point", Medium},
    PlotStyle -> Orange,
    Filling -> Axis
    ]
   },
  
  GridLines -> {Range[Subscript[x, 1], Subscript[x, 2]],
    Range[Subscript[y, 1], Subscript[y, 2]]},
  GridLinesStyle -> Directive[LightGray, Dashed],
  AxesOrigin -> {0, 0},
  PlotRange -> {Subscript[y, 1], Subscript[y, 2]},
  AspectRatio -> 1
  ],
 
 {{a, 1}, -4, 4, 1/32},
 {{b, 0}, -4, 4, 1/32},
 {{c, 0}, -4, 4, 1/32},
 {{d, 0}, -4, 4, 1/32},
 
 {{Subscript[x, 1], -4}, -16, 16, 0.5},
 {{Subscript[x, 2], 4}, -16, 16, 0.5},
 
 {{Subscript[y, 1], -4}, -16, 16, 0.5},
 {{Subscript[y, 2], 4}, -16, 16, 0.5}
 ]





  • Prev by Date: Re: DiscretePlot filling is darker above axis than below
  • Next by Date: Column vectors should be interpreted as simple lists where
  • Previous by thread: Simple OpenCL program in Mathematica
  • Next by thread: Column vectors should be interpreted as simple lists where