% This is a good idea
clear ; 

% This creates reserves a memory adress and stores the 
% value three in this memory dress
my_variable1 = 3.
% Create another variable, you can use the contents of old variables
my_variable2 = my_variable1 + 2.

% Replaces the contents of a given memory adress by the current
% contents of this adress(i.e. 3.) +  2.1
my_variable1 = my_variable1 + 2.1

% Create an array or a bunch of variables at one time:
%
% t(1) = 0, t(1) = .1, t(2) = 0.2, t(3) = 0.3 
t = [0:0.1:0.3]

t(4) = t(2) + t(4)

% Create a new array which has the same length as t
% x(1) = 0, x(2) = 0 
x = zeros(1, length(t)) 
%
% Now x(1) = t(1), x(2) = t(2), ...
x = t 



% Now x2(1) = t(1)^2,  x2(2)= t(2)^2, ....
% Notice the .* notation which does an element wise multiplaction
% Be sure to inclue the . otherwise you will get some unexpected behaviour
x2 = t.*t 

%
% You can also raise this to a power 3
% x3(1)=t(1)^3  x3(2) =t(2)^3  x3(3)=t(3)^3 
x3 = t.^3

% One can also define simple constants
two = 2.
% and create new arrays

% We now create an empty array with length equal to the 
% length of the array t
%
% For the moment we set this arry to zero.
%
% Notice the semi-colon here. If you add a semi-colon
% it will not print out the array in the terminal. 
% This is useful to control what gets printed out
two_thirds_x2 = zeros(1, length(t)) ;

% We can now loop over the elements of the array t
% length(t)
for i = 1:length(t)
    two_thirds_x2(i) = two/3.*t(i)*t(i) ;
end
% This makes a plot which shows the actual points
% The '-o' thing tells matlab to make a circle and a line
% instead of just a line
plot(t, x, '-o', t,x2, '-o',t,x3,'-o', t, two_thirds_x2, '-o')