Plotting the following function in one dimensional space R

I want to plot the following function in one dimensional space ℝ:

Let and an integer. For each probability vector ( ) with for we set:

, , .

Let τ be the permutation of the symbols . Then :

is a probability vector with positive components, and we can form the corresponding and , .i.e:

and . Now we define the main function I want to plot :

where for each and each .

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How could I write the above function on matlab and also how could I plot it in one dimensional space ℝ?

Answer 1

[Reza Yaghmaeian]

I wrote the following but I have problem defining the function T:

clear all;

close all;

n=3

%r = rand(1, n); % Start with 3 random numbers that don't sum to 1.

%r = r / sum(r) % Normalize so the sum is 1.

%theSum = sum(r) % Check to make sure. Should be 1

alpha=[0.5 0.25 0.25]

%alpha=sort(r)

beta(1)=0;

for i=1:n

beta(i+1)=beta(i)+alpha(i);

end

for i=1:n

X(i) = fixed.Interval(beta(i), beta(i+1),'[)');

end

tau = [2 3 1];

% or you can define an anonymous function:

taut = [2,3,1]

alphat=[alpha(taut(1)), alpha(taut(2)) , alpha(taut(3))];

betat(1)=0;

for i=1:n

betat(i+1)=betat(i)+alphat(i);

end

for i=1:n

Xt(i) = fixed.Interval(betat(i), betat(i+1),'[)');

end