Graph of Chebyshev's first polynomials, almost like the wikipedia graph
4
$begingroup$
I want to graph the first polynomials of Chebyshev almost like the graph of wikipedia
https://en.wikipedia.org/wiki/File:Chebyshev_Polynomials_of_the_First_Kind.svg
I have tried it this way
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"]
LineLegend[{Blue, Orange, Green, Magenta,
Purple},{"T0","T1","T2","T3","T4"}]
I can't put the legends on top of the graphic like in wikipedia or at least put them in a single line.
I have tried with the Show command but I have not succeeded. I appreciate any help.
plotting graphics functions legending
edited Feb 5 at 2:10
Michael E2
148k12198477
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
$endgroup$
add a comment |
4
$begingroup$
I want to graph the first polynomials of Chebyshev almost like the graph of wikipedia
https://en.wikipedia.org/wiki/File:Chebyshev_Polynomials_of_the_First_Kind.svg
I have tried it this way
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"]
LineLegend[{Blue, Orange, Green, Magenta,
Purple},{"T0","T1","T2","T3","T4"}]
I can't put the legends on top of the graphic like in wikipedia or at least put them in a single line.
I have tried with the Show command but I have not succeeded. I appreciate any help.
plotting graphics functions legending
edited Feb 5 at 2:10
Michael E2
148k12198477
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
$endgroup$
1
$begingroup$
Have you seen that the source Mathematica code is actually on the wikipedia image page that you linked to?
$endgroup$
– Carl Lange
Feb 5 at 9:21
add a comment |
4
4
4
$begingroup$
I want to graph the first polynomials of Chebyshev almost like the graph of wikipedia
https://en.wikipedia.org/wiki/File:Chebyshev_Polynomials_of_the_First_Kind.svg
I have tried it this way
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"]
LineLegend[{Blue, Orange, Green, Magenta,
Purple},{"T0","T1","T2","T3","T4"}]
I can't put the legends on top of the graphic like in wikipedia or at least put them in a single line.
I have tried with the Show command but I have not succeeded. I appreciate any help.
plotting graphics functions legending
edited Feb 5 at 2:10
Michael E2
148k12198477
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
$endgroup$
I want to graph the first polynomials of Chebyshev almost like the graph of wikipedia
https://en.wikipedia.org/wiki/File:Chebyshev_Polynomials_of_the_First_Kind.svg
I have tried it this way
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"]
LineLegend[{Blue, Orange, Green, Magenta,
Purple},{"T0","T1","T2","T3","T4"}]
I can't put the legends on top of the graphic like in wikipedia or at least put them in a single line.
I have tried with the Show command but I have not succeeded. I appreciate any help.
plotting graphics functions legending
plotting graphics functions legending
edited Feb 5 at 2:10
Michael E2
148k12198477
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
edited Feb 5 at 2:10
Michael E2
148k12198477
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
edited Feb 5 at 2:10
Michael E2
148k12198477
edited Feb 5 at 2:10
Michael E2
148k12198477
edited Feb 5 at 2:10
Michael E2
148k12198477
148k12198477
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
asked Feb 5 at 2:08
Jacob SchwartzJacob Schwartz
475
475
1
$begingroup$
Have you seen that the source Mathematica code is actually on the wikipedia image page that you linked to?
$endgroup$
– Carl Lange
Feb 5 at 9:21
add a comment |
1
$begingroup$
Have you seen that the source Mathematica code is actually on the wikipedia image page that you linked to?
$endgroup$
– Carl Lange
Feb 5 at 9:21
1
1
$begingroup$
Have you seen that the source Mathematica code is actually on the wikipedia image page that you linked to?
$endgroup$
– Carl Lange
Feb 5 at 9:21
$begingroup$
Have you seen that the source Mathematica code is actually on the wikipedia image page that you linked to?
$endgroup$
– Carl Lange
Feb 5 at 9:21
add a comment |
2 Answers
2
active
oldest
votes
5
$begingroup$
Update: A more streamlined version
Plot[Evaluate@ChebyshevT[Range[0, 4], x], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
Frame -> True, Axes -> False,
GridLines -> Automatic, GridLinesStyle -> Directive[Gray, Dashed],
PlotLegends -> Placed[LineLegend[{"T0", "T1", "T2", "T3", "T4"}], Top]]
Original answer:
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}], Top]]
Also
Legended[Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"], Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}, LegendLayout -> {"Row", 1}], Top]]
same picture
answered Feb 5 at 2:15
kglrkglr
186k10203422
$endgroup$
2
$begingroup$
With a few bells:Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]
$endgroup$
– Bob Hanlon
Feb 5 at 3:57
add a comment |
-2
$begingroup$
Plot[
Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"}],
Top
]
]

Also
Legended[
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"
],
Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"},
LegendLayout -> {"Row", 1}], Top
]
]
same picture
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
answered Feb 5 at 8:24
user62762user62762
5
$endgroup$
1
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
5
$begingroup$
Update: A more streamlined version
Plot[Evaluate@ChebyshevT[Range[0, 4], x], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
Frame -> True, Axes -> False,
GridLines -> Automatic, GridLinesStyle -> Directive[Gray, Dashed],
PlotLegends -> Placed[LineLegend[{"T0", "T1", "T2", "T3", "T4"}], Top]]
Original answer:
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}], Top]]
Also
Legended[Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"], Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}, LegendLayout -> {"Row", 1}], Top]]
same picture
answered Feb 5 at 2:15
kglrkglr
186k10203422
$endgroup$
2
$begingroup$
With a few bells:Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]
$endgroup$
– Bob Hanlon
Feb 5 at 3:57
add a comment |
5
$begingroup$
Update: A more streamlined version
Plot[Evaluate@ChebyshevT[Range[0, 4], x], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
Frame -> True, Axes -> False,
GridLines -> Automatic, GridLinesStyle -> Directive[Gray, Dashed],
PlotLegends -> Placed[LineLegend[{"T0", "T1", "T2", "T3", "T4"}], Top]]
Original answer:
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}], Top]]
Also
Legended[Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"], Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}, LegendLayout -> {"Row", 1}], Top]]
same picture
answered Feb 5 at 2:15
kglrkglr
186k10203422
$endgroup$
2
$begingroup$
With a few bells:Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]
$endgroup$
– Bob Hanlon
Feb 5 at 3:57
add a comment |
5
5
5
$begingroup$
Update: A more streamlined version
Plot[Evaluate@ChebyshevT[Range[0, 4], x], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
Frame -> True, Axes -> False,
GridLines -> Automatic, GridLinesStyle -> Directive[Gray, Dashed],
PlotLegends -> Placed[LineLegend[{"T0", "T1", "T2", "T3", "T4"}], Top]]
Original answer:
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}], Top]]
Also
Legended[Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"], Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}, LegendLayout -> {"Row", 1}], Top]]
same picture
answered Feb 5 at 2:15
kglrkglr
186k10203422
$endgroup$
Update: A more streamlined version
Plot[Evaluate@ChebyshevT[Range[0, 4], x], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
Frame -> True, Axes -> False,
GridLines -> Automatic, GridLinesStyle -> Directive[Gray, Dashed],
PlotLegends -> Placed[LineLegend[{"T0", "T1", "T2", "T3", "T4"}], Top]]
Original answer:
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}], Top]]
Also
Legended[Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"], Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1",
"T2", "T3", "T4"}, LegendLayout -> {"Row", 1}], Top]]
same picture
answered Feb 5 at 2:15
kglrkglr
186k10203422
edited Feb 5 at 9:35
answered Feb 5 at 2:15
kglrkglr
186k10203422
answered Feb 5 at 2:15
kglrkglr
186k10203422
answered Feb 5 at 2:15
kglrkglr
186k10203422
186k10203422
2
$begingroup$
With a few bells:Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]
$endgroup$
– Bob Hanlon
Feb 5 at 3:57
add a comment |
2
$begingroup$
With a few bells:Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]
$endgroup$
– Bob Hanlon
Feb 5 at 3:57
2
2
$begingroup$
With a few bells:
Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]$endgroup$
– Bob Hanlon
Feb 5 at 3:57
$begingroup$
With a few bells:
Plot[Evaluate@ Table[Tooltip[ChebyshevT[n, x]], {n, 0, 4}], {x, -1, 1}, PlotTheme -> "Scientific", FrameLabel -> (Style[#, 12, Bold] & /@ {x, ChebyshevT[n, x]}), PlotLegends -> Placed[Table[Subscript[T, n], {n, 0, 5}], Top]]$endgroup$
– Bob Hanlon
Feb 5 at 3:57
add a comment |
-2
$begingroup$
Plot[
Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"}],
Top
]
]

Also
Legended[
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"
],
Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"},
LegendLayout -> {"Row", 1}], Top
]
]
same picture
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
answered Feb 5 at 8:24
user62762user62762
5
$endgroup$
1
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
add a comment |
-2
$begingroup$
Plot[
Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"}],
Top
]
]

Also
Legended[
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"
],
Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"},
LegendLayout -> {"Row", 1}], Top
]
]
same picture
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
answered Feb 5 at 8:24
user62762user62762
5
$endgroup$
1
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
add a comment |
-2
-2
-2
$begingroup$
Plot[
Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"}],
Top
]
]

Also
Legended[
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"
],
Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"},
LegendLayout -> {"Row", 1}], Top
]
]
same picture
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
answered Feb 5 at 8:24
user62762user62762
5
$endgroup$
Plot[
Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific",
PlotLegends -> Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"}],
Top
]
]

Also
Legended[
Plot[Evaluate[Table[ChebyshevT[n - 1, x], {n, 5}]], {x, 0, 1},
PlotStyle -> {Blue, Orange, Green, Magenta, Purple},
PlotTheme -> "Scientific"
],
Placed[
LineLegend[{Blue, Orange, Green, Magenta, Purple}, {"T0", "T1", "T2", "T3", "T4"},
LegendLayout -> {"Row", 1}], Top
]
]
same picture
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
answered Feb 5 at 8:24
user62762user62762
5
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
edited Feb 5 at 9:20
Henrik Schumacher
55.3k576154
55.3k576154
answered Feb 5 at 8:24
user62762user62762
5
answered Feb 5 at 8:24
user62762user62762
5
answered Feb 5 at 8:24
user62762user62762
5
5
1
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
add a comment |
1
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
1
1
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
$begingroup$
welcome to mma.se. This is copy/pasted verbatim from the accepted answer above.
$endgroup$
– kglr
Feb 5 at 9:26
add a comment |
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1
$begingroup$
Have you seen that the source Mathematica code is actually on the wikipedia image page that you linked to?
$endgroup$
– Carl Lange
Feb 5 at 9:21