Re: listplot and plot of the same function display in different scale...

• To: mathgroup at smc.vnet.net
• Subject: [mg51638] Re: [mg51617] listplot and plot of the same function display in different scale...
• From: "David Park" <djmp at earthlink.net>
• Date: Wed, 27 Oct 2004 23:42:43 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Sean,

Clear[y];
NDSolve[{Derivative[1][y][t] == -y[t], y[0] == 1},
{y}, {t, 0, 7}][[1,1]];
y[t_] = y[t] /. %

g0 = Plot[y[t], {t, 0, 7},
DisplayFunction -> Identity];

g1 = ListPlot[Table[{t, y[t]},
{t, 0, 7, 0.05}], PlotStyle -> PointSize[0.015],
DisplayFunction -> Identity];

Show[g0, g1, DisplayFunction -> \$DisplayFunction];

David Park

From: sean kim [mailto:sean_incali at yahoo.com]
To: mathgroup at smc.vnet.net

Hello group,

let's say you want to take a few points from an
interploating function and ListPlot it. and then show
it together with the graph object from Plot.

so...

solution = NDSolve[{y'[t] == -y[t], y[0] == 1}, {y},
{t, 0, 7}];

g0 = Plot[Evaluate[y[t] /. solution], {t, 0, 7},
DisplayFunction -> Identity];
g1 = ListPlot[Flatten[Table[Evaluate[y[t]/.solution],
{t, 0, 7, 0.05}]],PlotStyle -> PointSize[0.015],
DisplayFunction -> Identity];

Show[g0, g1, DisplayFunction -> \$DisplayFunction]

will show two plots in one graph, but plots have their
own axis scale. the Plot[] object seems to be shrunk
in scales due to ListPlot[] object having more points.
(due to being tabled)

How do i fix this so that both Plot have same axis
scales? ( I want to show dots from ListPlot to overlay
on top of Plot graph. )

Thanks in advance for any insights.

sean

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```

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