Skip to main content

plotting - Legends in combined Plot and ListPlot


I have a set of data



plotgamma6 = {{0.1, 14/15}, {0.2, 17/20}, {0.3, 11/15}, {0.4, 
43/60}, {0.5, 2/3}, {0.6, 13/20}, {0.7, 7/12}, {0.8, 17/30}, {0.9,
 17/30}, {1., 31/60}, {1.1, 31/60}, {1.2, 7/15}, {1.3, 
7/15}, {1.4, 9/20}, {1.5, 9/20}, {1.6, 9/20}, {1.7, 13/30}, {1.8, 
5/12}, {1.9, 2/5}, {2., 2/5}, {2.1, 2/5}, {2.2, 23/60}, {2.3, 
23/60}, {2.4, 11/30}, {2.5, 11/30}, {2.6, 11/30}, {2.7, 
7/20}, {2.8, 1/3}, {2.9, 1/3}, {3., 1/3}, {3.1, 1/3}, {3.2, 
1/3}, {3.3, 19/60}, {3.4, 19/60}, {3.5, 19/60}, {3.6, 3/10}, {3.7,
 3/10}, {3.8, 4/15}, {3.9, 1/4}, {4., 7/30}, {4.1, 13/60}, {4.2, 
13/60}, {4.3, 13/60}, {4.4, 13/60}, {4.5, 13/60}, {4.6, 

13/60}, {4.7, 13/60}, {4.8, 13/60}, {4.9, 13/60}, {5., 13/60}};
plotgamma10 = {{0.1, 93/100}, {0.2, 89/100}, {0.3, 83/100}, {0.4, 
    81/100}, {0.5, 37/50}, {0.6, 18/25}, {0.7, 17/25}, {0.8, 
    16/25}, {0.9, 61/100}, {1., 59/100}, {1.1, 14/25}, {1.2, 
    14/25}, {1.3, 13/25}, {1.4, 13/25}, {1.5, 49/100}, {1.6, 
    23/50}, {1.7, 23/50}, {1.8, 9/20}, {1.9, 9/20}, {2., 
    43/100}, {2.1, 43/100}, {2.2, 21/50}, {2.3, 41/100}, {2.4, 
    2/5}, {2.5, 19/50}, {2.6, 37/100}, {2.7, 9/25}, {2.8, 7/20}, {2.9,
     17/50}, {3., 33/100}, {3.1, 29/100}, {3.2, 29/100}, {3.3, 
    29/100}, {3.4, 27/100}, {3.5, 13/50}, {3.6, 6/25}, {3.7, 

    6/25}, {3.8, 6/25}, {3.9, 6/25}, {4., 6/25}, {4.1, 21/100}, {4.2, 
    1/5}, {4.3, 1/5}, {4.4, 19/100}, {4.5, 9/50}, {4.6, 9/50}, {4.7, 
    4/25}, {4.8, 4/25}, {4.9, 4/25}, {5., 4/25}};

which I plot using ListPlot


Needs["PlotLegends`"]
a = ListPlot[{plotgamma6, plotgamma10}, AxesOrigin -> {0, 0}, 
 PlotRange -> {{0, 5}, {0, 1}}, AxesLabel -> {"gamma", "quantity"}, 
 PlotStyle -> PointSize[0.02], PlotLegend -> {"N=6", "N=10",}, 
 LegendPosition -> {1.1, -0.4}, Joined -> {True, True}, 

 PlotMarkers -> Automatic]

Now, I also want to plot a function which needs to be compared with the above data, i.e.,


    f[z_] := Exp[-z/2] BesselI[0, z/2];
    b = Plot[-2 f'[z], {z, 0, 5}, PlotLegend -> "Theory", 
  LegendPosition -> {1.1, -0.4}]

Now, I want to combine these two plots into one, so I use


Show[a,b]


However, this gives a messed up plot! If I remove the plot legends from both the plots, then the combined plot looks reasonable though. But I really want to retain the plot legends. How would you combine these two plots? It doesn't matter to me how you plot these data, i.e., if you use Show or some other function.


Please note that my question is closely related to How to show legend in a combined plot of many lists,


However, that question wasn't answered fully either.


Thanks! dbm368




Comments

Post a Comment

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...
Post a Comment
Read more

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...
Post a Comment
Read more

How to remap graph properties?

Graph objects support both custom properties, which do not have special meanings, and standard properties, which may be used by some functions. When importing from formats such as GraphML, we usually get a result with custom properties. What is the simplest way to remap one property to another, e.g. to remap a custom property to a standard one so it can be used with various functions? Example: Let's get Zachary's karate club network with edge weights and vertex names from here: http://nexus.igraph.org/api/dataset_info?id=1&format=html g = Import[ "http://nexus.igraph.org/api/dataset?id=1&format=GraphML", {"ZIP", "karate.GraphML"}] I can remap "name" to VertexLabels and "weights" to EdgeWeight like this: sp[prop_][g_] := SetProperty[g, prop] g2 = g // sp[EdgeWeight -> (PropertyValue[{g, #}, "weight"] & /@ EdgeList[g])] // sp[VertexLabels -> (# -> PropertyValue[{g, #}, "name"]...
Post a Comment
Read more