Grouping sequence within interval

I got stuck in grouping my sequence.

How can I automatically grouping element of sequence? within interval for this case maybe 0.5

suppose I have 3 sequence

V1 = [0.73  0.74  0.77  0.78  0.79  11.17  11.18  11.19  11.20  11.22 11.23];
V2 = [0.71  0.78  0.76  6.04  6.08  6.01  11.38  11.4  11.1] ;
V3 = [0.73  0.74  0.75  4.29  4.33  7.83  7.85  11.38  11.34]

My expectation is to have a group as follows

G1 = {[0.73  0.74  0.77  0.78  0.79] ; [11.17  11.18  11.19  11.20  11.22 11.23]}
G2 = {[0.71  0.78  0.76] ; [6.04  6.08  6.01] ; [11.38  11.4  11.1] }
G3 = {[0.73  0.74  0.75] ; [4.29  4.33] ; [7.83  7.85] ; [11.38  11.34]}

Answer 1

[Thiago Henrique Gomes Lobato]

Something like this should do the trick for you

V1 = [0.73  0.74  0.77  0.78  0.79  11.17  11.18  11.19  11.20  11.22 11.23];
V2 = [0.71  0.78  0.76  6.04  6.08  6.01  11.38  11.4  11.1] ;
V3 = [0.73  0.74  0.75  4.29  4.33  7.83  7.85  11.38  11.34]

Vsorted = sort(V3); % Works also with V1, V2 
NewSeqLocations = find(diff(Vsorted)>0.5); % 0.5 is your interval, i.e, maximum difference between adjacent numbers
NewSeqLocations = [0,NewSeqLocations,length(Vsorted)]; % Last sequence ends at last array element and starts at first element
Seq = cell(length(NewSeqLocations)-1,1); % Save sequences in cell array
for idx=1:length(Seq)
    Seq{idx} = Vsorted(NewSeqLocations(idx)+1:NewSeqLocations(idx+1));
end
Seq{:}

ans =

   0.730000000000000   0.740000000000000   0.750000000000000


ans =

   4.290000000000000   4.330000000000000


ans =

   7.830000000000000   7.850000000000000


ans =

  11.340000000000000  11.380000000000001

[Benu]

I never think this kind of a way. this is really help me.

wonderful ! Thank you so much !