Hi friends
I am trying to construct a new number set which dosn't have the problem
of division by zero and the square root of negative value
so here is the basic
All arithmitic rules and notions are the same as those of Reals set
except the following statements
0^2=1
if a and b are positive reals and a*b=c
then
a * -b = c "if a>b"
a * -b = -c "if a<=b"
-a * -b = -c
if a=b^n then Root(a) =b "without absolute value"
The rest is the same as the traditional R set
so as a result we have this solultions for old problems :
SquareRoot(-1)=-1 " since -1 *
Yes but I still should mention them since I am making the basis of DIMD, an other point is trying to avoid semantic presentation of functions such as
this and go for smooth calculations
Hi , I am working on some math stuff and I need to check some points ,
so are theses formulas correct ?
ISZ(x) : is it 0 ?
isz (x) = cos ( pi * ( (2*ceil( abs(x) ) + 1)) / 2 ) / cos(1)
Ins : Real number x
Out : 1 if x=0 , 0 if x <> 0
---------------------------------------------------------------
SGN(x) : Sign
sgn(x) = abs(x) / ( x + isz(x) )
Ins : Real number x
Out : 1 if x>0 , 0 if x = 0 , -1 if x < 0
more here
Dirbax
thanks
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