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By using Plot command I want to get one curve in form if circles and other like a solid line.

Plot[{Cos[x], Sin[x]}, {x, 0, 2 Pi},
      PlotStyle -> {Opacity[0]}, Mesh -> 30, MeshStyle -> {PointSize[Large], Blue}]

enter image description here

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2 Answers 2

up vote 4 down vote accepted

Edit: Michael E2 notes that style None should be used instead of Opacity[0] because the former avoids drawing the line while the latter simply makes it invisible. I have changed all styles in the code below accordingly.

There may be a syntax to use a different Mesh for each curve (I cannot recall) but if not you can always fall back to plotting separately and combining with Show:

Show[
 Plot[Cos[x], {x, 0, 2 Pi}, PlotStyle -> None, Mesh -> 30, 
   MeshStyle -> Directive[PointSize[Large], Blue]],
 Plot[Sin[x], {x, 0, 2 Pi}, PlotStyle -> Red]
]

enter image description here

Two more ways to write the same thing:

Show[
 Plot[#[x], {x, 0, 2 Pi}, ##2] & @@@
  {{Cos, PlotStyle -> None, Mesh -> 30, 
    MeshStyle -> Directive[PointSize[Large], Blue]},
   {Sin, PlotStyle -> Red}}
]

Inner[
 Plot[#[x], {x, 0, 2 Pi}, #2] &,
 {Cos, Sin},
 {
  {PlotStyle -> None, Mesh -> 30, MeshStyle -> Directive[PointSize[Large], Blue]},
  PlotStyle -> Red
 },
 Show
]
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It is nice to see how many questions that one has have been already asked and solved by other people! Mathematica syntax seems quite complex to me. I appreciate this website very much! –  Vicent Jul 1 at 12:58

[Works on V7-V10, Mac OSX.] Adapting my answer to your other question, we can use PlotStyle to achieve the same effect with evenly spaced dots.

Plot[{Cos[x], Sin[x]},
 {x, 0, 2 Pi}, 
 PlotStyle -> {Directive[CapForm["Round"], Dashing[{0, 0.05}], Thickness[0.02]],
               Directive[]}]

Mathematica graphics

Caveat: The CapForm["Round"] directive does not seem to be honored in Windows (at least with respect to Dashing in PlotStyle), according to a comment to my answer to the linked question.

Side notes: The setting PlotStyle -> {Opacity[0]} in the OP's example code produces a curve, a Line object in fact, that cannot be seen. The setting PlotStyle -> None causes Plot not to produce a Line object at all.

I've never been able to figure out how to apply different mesh specifications to different functions using one Plot. I do it in the way Mr. Wizard has shown.

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1  
Unfortunately your caveat is true: this does not work in v7 under Windows, though CapForm["Round"] works elsewhere. –  Mr.Wizard Dec 26 '13 at 14:39
1  
@Mr.Wizard Oh, bother, as Pooh says. –  Michael E2 Dec 26 '13 at 14:44
    
Nice tip regarding PlotStyle -> None. –  Mr.Wizard Dec 26 '13 at 14:46
    
"Oh, bother" I say that a lot too. :^) –  Mr.Wizard Dec 26 '13 at 14:46
    
This is a perfect method; it's a shame that this has not been fixed in recent versions for Windows. I wonder if the back end graphics engine somehow doesn't support this. Do you know which APIs are used on your platform? –  Mr.Wizard Dec 26 '13 at 14:51

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