∑_(u=1)^(s​u-2)▒∑_(v=​1)^sv▒δ(i,​j)..how to write this equation in for loop?

∑_(u=1)^(su-2)▒∑_(v=1)^sv▒δ(i,j)...here the summation lower limit is u=1 and upper limit is su-2 similar to next summation form....i didnt know is my matlab R2009b contains symbolic tool or not. can u tel this equation in "for" loop.

[Dhines]

href="http://www.codecogs.com/eqnedit.php?latex=\sum_{u=1}^{su-2} \cdot \sum_{v=1}^{sv}\cdot \delta \left ( Fh(u,v)=i,Fh(u@plus;1,v)=j)" target="_blank" rel="nofollow noopener noreferrer"<img src="http://latex.codecogs.com/gif.latex?\sum_{u=1}^{su-2} \cdot \sum_{v=1}^{sv}\cdot \delta \left ( Fh(u,v)=i,Fh(u+1,v)=j)" title="\sum_{u=1}^{su-2} \cdot \sum_{v=1}^{sv}\cdot \delta \left ( Fh(u,v)=i,Fh(u+1,v)=j)" /></a>

[Dhines]

∑ u = 1 s u - 2 ⋅ ∑ v = 1 s v ⋅ δ ( F h ( u , v ) = i , F h ( u + 1 , v ) = j )

[Walter Roberson]

What does δ mean in this context? What does Fh(u,v)=i mean in this context?

[Walter Roberson]

The fastest way to determine whether your MATLAB contains an installed and licensed Symbolic Toolbox is to enter the command

syms x

If it complains that syms is not found then the toolbox is either not installed or not licensed.

[Jan]

Now explain, what the delta is in your case.

[Dhines]

in my model..going to calculate horizontal and vertical array of my 8x8 extracted imag. here 'Fh' horizontal one.u and v is co-ordinates Fh(u,v).

[Dhines]

in my eqn delta contains inside of arguments i and j. when delta(i,j)=1 its satisfied some condition. jus i named delta is my function that contains arguments i and j thats all about delta in my module

[Dhines]

pls...anybody answer my question?

[Jan]

I still cannot read the magic characters in the question.

[Walter Roberson]

What does F h ( u , v ) = i mean in the context of the delta function?

Does δ ( F h ( u , v ) = i , F h ( u + 1 , v ) = j ) mean the same as

1 if (Fh(u,v) == i & Fh(u+1,v) == j)
0 otherwise

?

Answer 1

[Björn]

It seems that the delta is the Kronecker Delta. In that case ou can make the following for-loop for this:

 result=0;
 for u=1:su-2
     for v=1:sv
         if Fh(u,v) == Fh(u+1,v)
             result=result+1;
         end
     end
 end
 result

Make sure that the matrix Fh is defined beforehand

The value of 'result' after the loops is the answer of the double sum.

[Dhines]

did u read my question well??...<a href="http://www.codecogs.com/eqnedit.php?latex=\sum_{u=1}^{su-2}\sum_{v=1}^{sv}\delta (Fh(u,v)=i,Fh(u@plus;1,v)=j)" target="_blank" rel="nofollow noopener noreferrer"><img src="http://latex.codecogs.com/gif.latex?\sum_{u=1}^{su-2}\sum_{v=1}^{sv}\delta (Fh(u,v)=i,Fh(u+1,v)=j)" title="\sum_{u=1}^{su-2}\sum_{v=1}^{sv}\delta (Fh(u,v)=i,Fh(u+1,v)=j)" /></a>

[Walter Roberson]

HTML tags are not recognized here.

We still need your answer to my question http://www.mathworks.co.uk/matlabcentral/answers/50365-_-u-1-su-2-_-v-1-sv-i-j-how-to-write-this-equation-in-for-loop#comment_105246