Department of Computer Science and Engineering : The Chinese University of Hong Kong Source: cse.cuhk.edu.hk

1. Professional Elegancy (or how to
write paper for IEEE journal) ...
Any engineer learns the mathematical notation
through which two real numbers, for example,
1+1 = 2
can be written down very simply.
Even so, this form is wrong, for being too trivial and
for showing a total lack of style.

2. Since our very first Math lessons we have known that,
1 = ln(e)
and also that,
1 = sin ( p ) + cos ( p )
2 2
besides this, everybody knows that,
∞ n
1 
2 =∑  
n=  2 
0

3. So being, the expression,
1+1 = 2
can be re-written in a more elegant form,
∞ n
1
ln ( e ) + sin ( p ) + cos ( p ) = ∑  
2 2
n =0  2 
which, as we can easily observe, is a lot more
scientific and easier to understand.

4. It is known that:
1 = cosh(q ) * 1 − tanh (q )
2
and that,
z
 1
e = lim1 + 
z →∞
 z

5. Hence resulting,
∞ n
1
ln ( e ) + sin ( p ) + cos ( p ) = ∑  
2 2
n =0  2 
and can further be written as follows, offering
substantial clarity and tranparency,
  1 2  ∞
cosh(q ) * 1 − tanh 2 (q)
ln lim1 +   + sin 2 ( p ) + cos 2 ( p ) = ∑
 z →∞ z  2n
  n =0

6. Considering that,
0!= 1
and that the inverted matrix of a transposed matrix
equals the transposed matrix of an inverted matrix
(presuming an unidimentional space), we obtain the
following simplification (using vectorial
notation X ),
(X ) − (X )
T −1 −1 T
=0

7. If both expressions are unified,
0!= 1
and
(X ) − (X )
T −1 −1 T
=0
we would obviously obtain,

( ) − (X )
 X

T −1 −1 T 
!= 1


8. Applying the above simplifications
  1 2  ∞
cosh(q ) * 1 − tanh 2 (q )
 lim1 +   + sin ( p ) + cos ( p ) = ∑
2 2
 z →∞ z   2n
  n =0
Obtaining finaly, in a total elegant form, legible, brief
and comprehencible to anyone, the equation:
  T
( ) − (X ) 
2
−1 −1 T  1  + sin 2 ( p ) + cos 2 ( p ) = ∑
∞
cosh(q ) * 1 − tanh 2 (q )
ln lim  X !+ 
 z →∞   z  2n
  n =0
(which, being honest, is by far more professional than the
original 1 + 1 = 2 )

9. Send this message to your colleagues who like to publish
IEEE journals. Send it also to your friends, who will
come to appreciate your sensible and humble engineering
soul …