Plot

how to make custom plot theme in julia and use in your code.

Dicewars A simplified version of game DiceWars between two players goes such that each player is assigned a stack of 6-sided dice which equate to relative power. On a player’s turn, the player challenges other player. The challenge is resolved when each player rolls their dice, with the higher total winning. Each player roll all of their dices and the value at the top of each dice is added to find the players score. Whoever has the higher score wins and the equal score is a tie. The goal is to find the probability that, in a game between two players with $m$ and $k$ dice respectively, any player wins over the other or there is a tie. ...

A sample diagram with custom defined function that also has legend. \begin{tikzpicture}[ declare function={ gamma(\z) = (2.50*sqrt(1/\z)+0.20*(1/\z)^(1.5)+ 0.00*(1/\z)^(2.5)-(174.21*(1/\z)^(3.5))/25920- (715.64*(1/\z)^(4.5))/1244160)*exp((-ln(1/\z)-1)*\z); }, declare function={ gammapdf(\x,\a,\b) = (\b^\a)*\x^(\a-1)*exp(-\b*\x)/gamma(\a); }] \begin{axis}[ width=9cm, height=6cm, samples=40, no marks, smooth, xlabel=$x$, ylabel=$f(x)$, xlabel style={at={(1,0)}, anchor=north west}, ylabel style={at={(0,1)}, anchor=south east}, legend style={draw=none, fill=none}, domain=0:22] \addplot[black] {gammapdf(x,3,1)}; \addlegendentry{$\alpha=3, \beta=1$} \addplot[blue] {gammapdf(x,8,1)}; \addlegendentry{$\alpha=8, \beta=1$} \addplot[red] {gammapdf(x,8,2)}; \addlegendentry{$\alpha=8, \beta=2$} \node[anchor=east] at (axis description cs: 1, 0.5) {$f(x) = \dfrac{\beta^{\alpha}}{\Gamma(\alpha)}\cdot x^{\alpha-1} \cdot \text{e}^{-\beta x}$}; \end{axis} \end{tikzpicture}