04/18/2015, 12:24 PM
Currently im considering bases > 2.
I just write exp ignoring the base in notation.
A bundle is a partition of a subset of the complex plane by continu functions that can be ordered.
Consider the bundle ;
Exp^[y](x) for real x and 0 < y < 1
d/dx exp^[y](x) > 0
d^2/d^2x exp^[y](x) > 0
Exp^[y](x) is real-analytic in x.
This bundle is not Unique by those conditions.
The question is , is it Unique by adding ;
Exp^[1/2](- oo ) = c
d/dx exp^[y](1-x) = 1 for 0 < x < 1/2.
??
Existance and uniqueness questions as usual.
Regards
Tommy1729
I just write exp ignoring the base in notation.
A bundle is a partition of a subset of the complex plane by continu functions that can be ordered.
Consider the bundle ;
Exp^[y](x) for real x and 0 < y < 1
d/dx exp^[y](x) > 0
d^2/d^2x exp^[y](x) > 0
Exp^[y](x) is real-analytic in x.
This bundle is not Unique by those conditions.
The question is , is it Unique by adding ;
Exp^[1/2](- oo ) = c
d/dx exp^[y](1-x) = 1 for 0 < x < 1/2.
??
Existance and uniqueness questions as usual.
Regards
Tommy1729
