Re: Inheritance problem!

["Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de>]

On Sun, 21 Dec 2008 01:18:32 GMT, Jeffrey R. Carter wrote:

> Dmitry A. Kazakov wrote:
>> 
>> A number is a matrix with one column and one row...
> 
> No, a number is the value in the 1x1 matrix. You can transpose a matrix. You 
> can't transpose a number.

(It was a joke. Such statements are meaningless without further
explanations)

 But you surely can transpose 1x1 matrices. Assuming "is-a matrix" means
injective mapping keeping matrix operations, here is transposing numbers:

Number  ---> Matrix
                     |
                     | Transpose
                    V
Number  <--- Matrix

When you wanted to consider numbers as elements of matrices, then the above
would be illegal, but you could do the same with vectors (block matrices).
The point is that it is not a property of vector or number to be something
else, but merely a matter of view.

-- 
Regards,
Dmitry A. Kazakov
http://www.dmitry-kazakov.de