query: $\mathcal{C}^1$ implies locally Lipschitz in $\mathbb{R}^n$
positive_passages.docid: 152328
positive_passages.text: A continuously differentiable map is locally Lipschitz
negative_passages.docid: 18334
negative_passages.text: Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
negative_passages.docid: 141366
negative_passages.text: Absolutely continuity and Lipschitz-like continuity
negative_passages.docid: 68409
negative_passages.text: Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$
negative_passages.docid: 42900
negative_passages.text: Locally continuously differentiable implies locally Lipschitz
negative_passages.docid: 37206
negative_passages.text: $\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$
negative_passages.docid: 97391
negative_passages.text: Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space
negative_passages.docid: 38761
negative_passages.text: Is the $ L^{p}$$[0,1]$ norm continuous in p?
negative_passages.docid: 14516
negative_passages.text: The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm
negative_passages.docid: 138510
negative_passages.text: Show f(x) is a Lipschitz function
negative_passages.docid: 42938
negative_passages.text: Lipschitz Condition and Optimization
negative_passages.docid: 4171
negative_passages.text: If $f$ is locally Lipschitz on $X$ and $X$ is compact, then $f$ is Lipschitz on $X$.
negative_passages.docid: 33050
negative_passages.text: proof that translation of a function converges to function in $L^1$
negative_passages.docid: 127757
negative_passages.text: $L^1$ convergence gives a pointwise convergent subsequence
negative_passages.docid: 75078
negative_passages.text: Characterization of Almost-Everywhere convergence
negative_passages.docid: 147420
negative_passages.text: Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
negative_passages.docid: 63313
negative_passages.text: Uniqueness of Powerseries in an arbitrarily small neighborhood of $0$ in $\mathbb C$