tasks a-s

Task/Power-set/MATLAB/power-set-1.m

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+function pset = powerset(theSet)
+
+    pset = cell(size(theSet)); %Preallocate memory
+
+    %Generate all numbers from 0 to 2^(num elements of the set)-1
+    for i = ( 0:(2^numel(theSet))-1 )
+
+        %Convert i into binary, convert each digit in binary to a boolean
+        %and store that array of booleans
+        indicies = logical(bitget( i,(1:numel(theSet)) ));
+
+        %Use the array of booleans to extract the members of the original
+        %set, and store the set containing these members in the powerset
+        pset(i+1) = {theSet(indicies)};
+
+    end
+
+end

Task/Power-set/MATLAB/power-set-2.m

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+powerset({{}})
+
+ans =
+
+     {}    {1x1 cell} %This is the same as { {},{{}} }

Task/Power-set/MATLAB/power-set-3.m

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+powerset({{1,2},3})
+
+ans =
+
+    {1x0 cell}    {1x1 cell}    {1x1 cell}    {1x2 cell} %This is the same as { {},{{1,2}},{3},{{1,2},3} }