how to write equation in matlab ?

i have an equation and trying to write in matlab but i am not getting desired result so please help me.

please find attached file for equation and result shown in red line in figure for that equation.

i am trying like

r=1000;
c=1000;
p=32;
m=8;
for i= 1:r
    for j=1:c
        if mod(i/(m*p),2)  %odd
              SP(i,j)=-pi+round((i/p)+1)*(2*pi/m) ;
        else   % even
              SP(i,j)=pi-round(i/p)*(2*pi/m);
        end
      end
end
figure(1)
plot(SP)

[Walter Roberson]

In mathematics, [] indicates grouping, but does not indicate rounding unless the paper defines it as rounding. The related symbols

   _   _
  |  x  |     |_ x _|

are ceiling and floor, but [ ] is not generally rounding.

[Walter Roberson]

I have sometimes seen [A\B] notation used to indicate the size of the equivalence class of A induced by B . In graph theory it could have to do with the something about the number of vertices or edges in a graph in which B had been removed.

Answer 1

[Roger Stafford]

I am guessing that brackets in this case means the same as 'floor', so your code would then be something like this:

m = 8;
P = 32;
x = linspace(0,1000,5000);
SP = zeros(1,length(x));
for i = 1:length(x)
  if mod(floor(x(i)/(m*P)),2) == 0
    SP(i) = pi-floor(x(i)/P)*2*pi/m; 
  else
    SP(i) = -pi+(floor(x(i)/P)+1)*2*pi/m;
  end
end
plot(x,SP)

I don't know how y enters into this.

[ajeet verma]

it seems near about same but not exact...

[ajeet verma]

i think some little bit modifications are required to find desired result. i am unable to detect this, so please check it once.

[Roger Stafford]

Added Note: My computer doesn't generate the plot shown in your image.png. Either something is wrong with the given formula, or my interpretation of the bracket symbols is in error. The image's blue curve is just the sort of function that is needed to make the needed correction to the given formula to get the orange curve, so I suspect the trouble lies with the formula.

[ajeet verma]

here two curve blue and orange obtained from two different equations are shown in one figure as attached. i reattach the equations in which equation 6 for orange color and equation 7 is for blue color. so i am able to create code for blue color but problem is in orange color curve. please find attached file code for blue curve

%% stair phase-2 clc; clear all; r=1024; p=256; m=1; n=4; for i= 1:r SP2(i) = pi-floor(i/(m*p))*(2*pi/n); end plot(SP2,'b')