S2={0101,01ba,ba0, baba }S2={0101,01ba,ba0, baba }S^{2}=\{0101,01 b a, b a 0, \text { baba }\}

Example 3.2.3.2.3.2 . Let Σ={a,b},x=a,y=abaa,Σ={a,b},x=a,y=abaa,\Sigma=\{a, b\}, x=a, y=a b a a, and z=bab.z=bab.z=b a b . Then |x|=1,|y|=4,|x|=1,|y|=4,|x|=1,|y|=4, and |z|=3.|z|=3.|z|=3 . Also, xx=aa,xy=xx=aa,xy=x x=a a, x y= abaa ,xz=abab,,xz=abab,, x z=a b a b, and zx=zx=z x= baba. Finally, xR=a,yR=aaba,xR=a,yR=aaba,x^{R}=a, y^{R}=a a b a, and zR=babzR=babz^{R}=b a b.