The above expressions take the same form for any number of spatial dimensions.

The above expression gives us the matrix element for in the basis.

In the above expression, the following transformation has been used: .

Oh the "t" in the above expressions is supposed to mean time.

The value of the above expression is 5, 7 or 9.

The denominator in the above expression plays an important role.

The above expression for gives the theoretical volume flow rate.

Notice that we can integrate the above expression by parts.

Thus the above expression signifies a single bit error in the place.

Third, it must also need to be shown that the above expression for is a rotation matrix.