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A New Interesting Way in Mathematics ---"Relative congruence"
1. 
integer
a,b,s. prime 
the
solution always exists and unique (except 
).
We can use the fractions to express congruence value, directly 
,
that is to say the fractions have congruence meaning.
2. So we can make the definition:
(1) 
(2) Never can p be denomination divisor in any finite expression, otherwise
meaningless.
3. Thus the basic operation 
can
be used on the both sides of 
without
any doubt, it is easy to be proved.
4. Furthermore, we extend the above concept to real number, based on
and controlled by power expansion series, that is to say we have discovered
the concept of 
Relative
Congruence.
5. Thus we get the necessary condition 
mod
p
for 
, then
we proved 
mod
p never can be satisfied with the same p. 
.
6. And we have discussed Euler constant c, the conclusion is that c
is not rational. BACK
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