uniform convergence in a sentence

Examples

1. These observations preclude the possibility of uniform convergence.
2. i . e . the topology of uniform convergence of derivatives of arbitrary order.
3. Uniform convergence deals with these sorts of issues.
4. Thus one may speak of uniform continuity, uniform convergence, and Cauchy sequences.
5. This type of convergence is also called " almost uniform convergence ".
6. This is the topology of uniform convergence.
7. For a continued fraction like this one the notion of uniform convergence arises quite naturally.
8. Glivenko and Cantelli strengthened this result by proving uniform convergence of F _ n to F.
9. The topology of uniform convergence on compact sets is in this case the topology of pointwise convergence.
10. I'd like to make sure I'm clear about uniform convergence of the integral.