How to use a summation in a tikz plot
4
I need to plot this function using tikz, but I have no idea how to go about using the summation in tikz. If someone could help me I would really appreciate it.
The code I have is this:
documentclass{article}
usepackage{pgfplots}
usepackage{tikz}
usepackage[paperwidth=20cm, paperheight=10cm, margin=0.0cm]{geometry}
begin{document}
hspace{-0.4cm}
begin{tikzpicture}[
declare function={p(k,n) =((n!*(k*(k-1)))/((n^(k))*((n-(k-
1))!)));}
]
begin{axis}[axis lines=middle, grid=both, width=20cm, height=10cm, grid
style={line width=.2pt, draw=gray!10},major grid style={line
width=.3pt,draw=gray!50},
xlabel=$k$, ylabel=$y$,
ylabel style={anchor=south},
xlabel style={anchor=west},
ymax=1, xmax=21.5,
domain=0:21.5, samples at={0,...,21},
]
addplot+ [blue, thick, mark size={1.6pt}, mark options={draw=blue,
fill=white!75!cyan}] {p(x,20)};
end{axis}
end{tikzpicture}
end{document}
This plots the function of x, but I don't know how to sum the function from k=2 to x+1.
tikz-pgf plot
asked Nov 23 '17 at 14:01
John 545John 545
545
add a comment |
4
I need to plot this function using tikz, but I have no idea how to go about using the summation in tikz. If someone could help me I would really appreciate it.
The code I have is this:
documentclass{article}
usepackage{pgfplots}
usepackage{tikz}
usepackage[paperwidth=20cm, paperheight=10cm, margin=0.0cm]{geometry}
begin{document}
hspace{-0.4cm}
begin{tikzpicture}[
declare function={p(k,n) =((n!*(k*(k-1)))/((n^(k))*((n-(k-
1))!)));}
]
begin{axis}[axis lines=middle, grid=both, width=20cm, height=10cm, grid
style={line width=.2pt, draw=gray!10},major grid style={line
width=.3pt,draw=gray!50},
xlabel=$k$, ylabel=$y$,
ylabel style={anchor=south},
xlabel style={anchor=west},
ymax=1, xmax=21.5,
domain=0:21.5, samples at={0,...,21},
]
addplot+ [blue, thick, mark size={1.6pt}, mark options={draw=blue,
fill=white!75!cyan}] {p(x,20)};
end{axis}
end{tikzpicture}
end{document}
This plots the function of x, but I don't know how to sum the function from k=2 to x+1.
tikz-pgf plot
asked Nov 23 '17 at 14:01
John 545John 545
545
1
possibly helpful? tex.stackexchange.com/questions/291404/…
– cmhughes
Nov 23 '17 at 15:01
Thanks, I saw that earlier but couldn't figure it out. I've only been using latex for a short time and Im struggling to work out what to do.
– John 545
Nov 23 '17 at 15:08
Is this not possible in tikz?
– John 545
Nov 23 '17 at 20:03
add a comment |
4
4
4
2
I need to plot this function using tikz, but I have no idea how to go about using the summation in tikz. If someone could help me I would really appreciate it.
The code I have is this:
documentclass{article}
usepackage{pgfplots}
usepackage{tikz}
usepackage[paperwidth=20cm, paperheight=10cm, margin=0.0cm]{geometry}
begin{document}
hspace{-0.4cm}
begin{tikzpicture}[
declare function={p(k,n) =((n!*(k*(k-1)))/((n^(k))*((n-(k-
1))!)));}
]
begin{axis}[axis lines=middle, grid=both, width=20cm, height=10cm, grid
style={line width=.2pt, draw=gray!10},major grid style={line
width=.3pt,draw=gray!50},
xlabel=$k$, ylabel=$y$,
ylabel style={anchor=south},
xlabel style={anchor=west},
ymax=1, xmax=21.5,
domain=0:21.5, samples at={0,...,21},
]
addplot+ [blue, thick, mark size={1.6pt}, mark options={draw=blue,
fill=white!75!cyan}] {p(x,20)};
end{axis}
end{tikzpicture}
end{document}
This plots the function of x, but I don't know how to sum the function from k=2 to x+1.
tikz-pgf plot
asked Nov 23 '17 at 14:01
John 545John 545
545
I need to plot this function using tikz, but I have no idea how to go about using the summation in tikz. If someone could help me I would really appreciate it.
The code I have is this:
documentclass{article}
usepackage{pgfplots}
usepackage{tikz}
usepackage[paperwidth=20cm, paperheight=10cm, margin=0.0cm]{geometry}
begin{document}
hspace{-0.4cm}
begin{tikzpicture}[
declare function={p(k,n) =((n!*(k*(k-1)))/((n^(k))*((n-(k-
1))!)));}
]
begin{axis}[axis lines=middle, grid=both, width=20cm, height=10cm, grid
style={line width=.2pt, draw=gray!10},major grid style={line
width=.3pt,draw=gray!50},
xlabel=$k$, ylabel=$y$,
ylabel style={anchor=south},
xlabel style={anchor=west},
ymax=1, xmax=21.5,
domain=0:21.5, samples at={0,...,21},
]
addplot+ [blue, thick, mark size={1.6pt}, mark options={draw=blue,
fill=white!75!cyan}] {p(x,20)};
end{axis}
end{tikzpicture}
end{document}
This plots the function of x, but I don't know how to sum the function from k=2 to x+1.
tikz-pgf plot
tikz-pgf plot
asked Nov 23 '17 at 14:01
John 545John 545
545
asked Nov 23 '17 at 14:01
John 545John 545
545
asked Nov 23 '17 at 14:01
John 545John 545
545
asked Nov 23 '17 at 14:01
John 545John 545
545
asked Nov 23 '17 at 14:01
John 545John 545
545
545
1
possibly helpful? tex.stackexchange.com/questions/291404/…
– cmhughes
Nov 23 '17 at 15:01
Thanks, I saw that earlier but couldn't figure it out. I've only been using latex for a short time and Im struggling to work out what to do.
– John 545
Nov 23 '17 at 15:08
Is this not possible in tikz?
– John 545
Nov 23 '17 at 20:03
add a comment |
1
possibly helpful? tex.stackexchange.com/questions/291404/…
– cmhughes
Nov 23 '17 at 15:01
Thanks, I saw that earlier but couldn't figure it out. I've only been using latex for a short time and Im struggling to work out what to do.
– John 545
Nov 23 '17 at 15:08
Is this not possible in tikz?
– John 545
Nov 23 '17 at 20:03
1
1
possibly helpful? tex.stackexchange.com/questions/291404/…
– cmhughes
Nov 23 '17 at 15:01
possibly helpful? tex.stackexchange.com/questions/291404/…
– cmhughes
Nov 23 '17 at 15:01
Thanks, I saw that earlier but couldn't figure it out. I've only been using latex for a short time and Im struggling to work out what to do.
– John 545
Nov 23 '17 at 15:08
Thanks, I saw that earlier but couldn't figure it out. I've only been using latex for a short time and Im struggling to work out what to do.
– John 545
Nov 23 '17 at 15:08
Is this not possible in tikz?
– John 545
Nov 23 '17 at 20:03
Is this not possible in tikz?
– John 545
Nov 23 '17 at 20:03
add a comment |
1 Answer
1
active
oldest
votes
5
You can use Lua to compute the sum. Then you have to typeset using LuaLaTeX of course.
documentclass{article}
usepackage{pgfplots}
pgfplotsset{compat=newest}
usepackage{luacode}
begin{luacode*}
function factorial(n)
assert(n >= 0, "Factorial is only valid for positive integers")
if n == 0 then
return 1
end
return n*factorial(n-1)
end
function p(x)
assert(x == math.floor(x), "x must be an integer")
res = 0
for k = 2, x+1 do
res = res + factorial(x)/factorial(x-(k-1)) * k*(k-1)/(x^k)
end
tex.sprint(res)
end
end{luacode*}
begin{document}
begin{tikzpicture}[
declare function={p(n) = directlua{p(n)};}
]
begin{axis}[
use fpu=false, % very important!
xlabel=$x$, ylabel=$p(x)$,
samples at={0,...,21},
only marks,
]
addplot {p(x)};
end{axis}
end{tikzpicture}
end{document}
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
add a comment |
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1 Answer
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1 Answer
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oldest
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5
You can use Lua to compute the sum. Then you have to typeset using LuaLaTeX of course.
documentclass{article}
usepackage{pgfplots}
pgfplotsset{compat=newest}
usepackage{luacode}
begin{luacode*}
function factorial(n)
assert(n >= 0, "Factorial is only valid for positive integers")
if n == 0 then
return 1
end
return n*factorial(n-1)
end
function p(x)
assert(x == math.floor(x), "x must be an integer")
res = 0
for k = 2, x+1 do
res = res + factorial(x)/factorial(x-(k-1)) * k*(k-1)/(x^k)
end
tex.sprint(res)
end
end{luacode*}
begin{document}
begin{tikzpicture}[
declare function={p(n) = directlua{p(n)};}
]
begin{axis}[
use fpu=false, % very important!
xlabel=$x$, ylabel=$p(x)$,
samples at={0,...,21},
only marks,
]
addplot {p(x)};
end{axis}
end{tikzpicture}
end{document}
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
add a comment |
5
You can use Lua to compute the sum. Then you have to typeset using LuaLaTeX of course.
documentclass{article}
usepackage{pgfplots}
pgfplotsset{compat=newest}
usepackage{luacode}
begin{luacode*}
function factorial(n)
assert(n >= 0, "Factorial is only valid for positive integers")
if n == 0 then
return 1
end
return n*factorial(n-1)
end
function p(x)
assert(x == math.floor(x), "x must be an integer")
res = 0
for k = 2, x+1 do
res = res + factorial(x)/factorial(x-(k-1)) * k*(k-1)/(x^k)
end
tex.sprint(res)
end
end{luacode*}
begin{document}
begin{tikzpicture}[
declare function={p(n) = directlua{p(n)};}
]
begin{axis}[
use fpu=false, % very important!
xlabel=$x$, ylabel=$p(x)$,
samples at={0,...,21},
only marks,
]
addplot {p(x)};
end{axis}
end{tikzpicture}
end{document}
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
add a comment |
5
5
5
You can use Lua to compute the sum. Then you have to typeset using LuaLaTeX of course.
documentclass{article}
usepackage{pgfplots}
pgfplotsset{compat=newest}
usepackage{luacode}
begin{luacode*}
function factorial(n)
assert(n >= 0, "Factorial is only valid for positive integers")
if n == 0 then
return 1
end
return n*factorial(n-1)
end
function p(x)
assert(x == math.floor(x), "x must be an integer")
res = 0
for k = 2, x+1 do
res = res + factorial(x)/factorial(x-(k-1)) * k*(k-1)/(x^k)
end
tex.sprint(res)
end
end{luacode*}
begin{document}
begin{tikzpicture}[
declare function={p(n) = directlua{p(n)};}
]
begin{axis}[
use fpu=false, % very important!
xlabel=$x$, ylabel=$p(x)$,
samples at={0,...,21},
only marks,
]
addplot {p(x)};
end{axis}
end{tikzpicture}
end{document}
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
You can use Lua to compute the sum. Then you have to typeset using LuaLaTeX of course.
documentclass{article}
usepackage{pgfplots}
pgfplotsset{compat=newest}
usepackage{luacode}
begin{luacode*}
function factorial(n)
assert(n >= 0, "Factorial is only valid for positive integers")
if n == 0 then
return 1
end
return n*factorial(n-1)
end
function p(x)
assert(x == math.floor(x), "x must be an integer")
res = 0
for k = 2, x+1 do
res = res + factorial(x)/factorial(x-(k-1)) * k*(k-1)/(x^k)
end
tex.sprint(res)
end
end{luacode*}
begin{document}
begin{tikzpicture}[
declare function={p(n) = directlua{p(n)};}
]
begin{axis}[
use fpu=false, % very important!
xlabel=$x$, ylabel=$p(x)$,
samples at={0,...,21},
only marks,
]
addplot {p(x)};
end{axis}
end{tikzpicture}
end{document}
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
answered Nov 23 '17 at 23:40
Henri MenkeHenri Menke
73.9k8162274
73.9k8162274
add a comment |
add a comment |
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1
possibly helpful? tex.stackexchange.com/questions/291404/…
– cmhughes
Nov 23 '17 at 15:01
Thanks, I saw that earlier but couldn't figure it out. I've only been using latex for a short time and Im struggling to work out what to do.
– John 545
Nov 23 '17 at 15:08
Is this not possible in tikz?
– John 545
Nov 23 '17 at 20:03