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Uniform continuity and the continuity of composition
1984It is proved that the composition \((g,f)\to g\circ f,\) considered as map \(D^ p\times D^ p\to D^{p-1}\) is (differentiable) at (g,f) if g has a uniformly continuous p-th derivative. Here \(D^ p\) stands for a Banach space of \(C^ p\) maps. The importance of uniformity is illustrated by an example and by historical remarks.
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Optimal uniform continuity bound for conditional entropy of classical–quantum states
Quantum Information Processing, 2020Mark M Wilde
exaly
Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models
Discrete and Continuous Dynamical Systems - Series B, 2021Zhijian Yang
exaly
Uniform Continuity of the Value of Zero-Sum Games with Differential Information
Mathematics of Operations Research, 2008Diego Moreno +2 more
exaly
Uniform continuity on unbounded intervals
International Journal of Mathematical Education in Science and Technology, 2008Rodrigo López-Pouso
exaly

