differentiability in a sentence

Examples

1. All polynomials are holomorphic functions which is a very strong condition regarding differentiability.
2. exist and are continuous for all in the domain, has differentiability class.
3. One can classify functions by their "'differentiability class " '.
4. Roughly speaking, differentiability puts a bound on how fast the curve can turn.
5. It is also related to a completely general definition of differentiability given by Carath�odory.
6. In particular, continuous differentiability of " f " need not be assumed.
7. These criteria of differentiability can be applied to the transition functions of a differential structure.
8. Fr�chet differentiability is a strictly stronger condition than G�teaux differentiability, even in finite dimensions.
9. Fr�chet differentiability is a strictly stronger condition than G�teaux differentiability, even in finite dimensions.
10. The open mapping theorem points to the sharp difference between holomorphy and real-differentiability.