Question about MeshFunctions (Plot function)
Vicent
Thank you for all your answers to my previous question. They were very useful.
I have a question related to the MeshFunctions option in the Plot function.
I've tried this
Plot[ f[x] , {x , 5 , 10} , Frame -> True , PlotRange -> { 2 ,
4 } , AspectRatio -> 1/GoldenRatio , PerformanceGoal -> "Quality"
,
Mesh -> { { 0. } } , MeshFunctions -> { f1[#] & , f2[#] & } ,
MeshStyle -> { Directive[ PointSize[ Large ] , Red ] , Directive[
PointSize[ Large ] , Blue ] } ]
and it works OK: it plots the curve for f[x] and marks (in my case)
two points on it: one red and one blue, at the points where functions
f1[x] and f2[x] take value 0.
I could do the same with other different functions g[x], g1[x] and g2[x].
But, is it possible to draw both curves in the same frame?? I don't
know which is the proper syntax --I mean, this:
Plot[ { f[x] , g[x] } , {x , 5 , 10} , Frame -> True ,
PlotRange -> { 2 , 4 } , AspectRatio -> 1/GoldenRatio ,
PerformanceGoal -> "Quality" ,
Mesh -> { { 0. } } , MeshFunctions -> { { f1[#] & , f2[#] & } , {
g1[#] & , g2[#] & } },
MeshStyle -> { Directive[ PointSize[ Large ] , Red ] , Directive[
PointSize[ Large ] , Blue ] } ]
produces an error message. How can I get the kind of graphic I want?
By the way (and this is another question, in fact), as I've just tried
to explain, I decided to use "MeshFunctions" in order to draw a curve
with three parts distinguished in it (the boundaries being the red and
the blue point, I mean). I also was trying to do it with the
"RegionFunction" option of the "Plot" sentence, but I couldn't get the
same result (I don't want the curve to be drawn only within a given
range, but I want the whole curve to be drawn and the different parts
of the curve to be indicated). The different parts of the curve f[x]
are bounded by the zeros of the functions f1[x] and f2[x], in my
example.
Are there any other ways to get what I want??
Please, if I didn't manage to explain my questions clearly enough, let
me know. I could attach a picture of what I want to draw.
Thank you in advance.
dh
Vicent wrote:
> Hello.
>
>
>
> I've tried this
>
> ,
> PointSize[ Large ] , Blue ] } ]
>
>
>
>
> PerformanceGoal -> "Quality" ,
> PointSize[ Large ] , Blue ] } ]
>
>
> example.
>
>
>
> Thank you in advance.
>
Hi, here is an example:
Plot[{3 + Cos[x], 3 + Sin[x]}, {x, 5, 10}, Frame -> True,
PlotRange -> {2, 4}, AspectRatio -> 1/GoldenRatio,
PerformanceGoal -> "Quality", Mesh -> {{0}},
MeshFunctions -> {#1 - 6 &, #1 - 7 &},
MeshStyle -> {Directive[PointSize[Large], Red],
Directive[PointSize[Large], Blue]}]
Daniel
Vicent
> I've tried this
>
> Plot[ f[x] , {x , 5 , 10} , Frame -> True , PlotRange -> { 2 ,
> 4 } , AspectRatio -> 1/GoldenRatio , PerformanceGoal -> "Quality"
> ,
> Mesh -> { { 0. } } , MeshFunctions -> { f1[#] & , f2[#] & } ,
> MeshStyle -> { Directive[ PointSize[ Large ] , Red ] , Directive[
> PointSize[ Large ] , Blue ] } ]
>
> and it works OK: it plots the curve for f[x] and marks (in my case)
> two points on it: one red and one blue, at the points where functions
> f1[x] and f2[x] take value 0.
>
> I could do the same with other different functions g[x], g1[x] and g2[x].
>
> But, is it possible to draw both curves in the same frame?? I don't
> know which is the proper syntax --I mean, this:
>
> Plot[ { f[x] , g[x] } , {x , 5 , 10} , Frame -> True ,
> PlotRange -> { 2 , 4 } , AspectRatio -> 1/GoldenRatio ,
> PerformanceGoal -> "Quality" ,
> Mesh -> { { 0. } } , MeshFunctions -> { { f1[#] & , f2[#] & }, {
> g1[#] & , g2[#] & } },
> MeshStyle -> { Directive[ PointSize[ Large ] , Red ] , Directive[
> PointSize[ Large ] , Blue ] } ]
>
> produces an error message. How can I get the kind of graphic I want?
>
Hello again.
I would like to make my question clearer, if possible.
I was not asking for this:
Plot[ { f[x] , g[x] } , { x , 5 , 10} , Frame -> True, PlotRange
-> {2, 4}, AspectRatio -> 1/GoldenRatio,
PerformanceGoal -> "Quality",
Mesh -> {{0}}, MeshFunctions -> {f1[#] & , f2[#] &}, MeshStyle ->
{Directive[PointSize[Large], Red], Directive[PointSize[Large],
Blue]}]
because I need the red and blue points to be defined in each curve (f
and g) by two different
pairs of functions f1, f2 and g1, g2. I mean, in my case, the
x-position (horizontal coordinate) of the red and blue
points could be different in curves f and g.
I've been told to previously compute the x-positions of the blue and
red point for each curve, and then put them in the graphic with
Epilog.
I am going to try it, but if you have different approaches, I would
like to know them.
Thank you in advance.
--
Vicent Giner-Bosch
David Park
evaluate it and not have to make up their own functions.
David Park
djm...@comcast.net
http://home.comcast.net/~djmpark/