query: Discontinuities of a monotone function.
positive_passages.docid: 152563
positive_passages.text: Set of discontinuity of monotone function is countable
negative_passages.docid: 18511
negative_passages.text: Can we construct a function that has uncountable many jump discontinuities?
negative_passages.docid: 65033
negative_passages.text: Prove inverse of strictly monotone increasing function is continuous over the range of original function
negative_passages.docid: 102076
negative_passages.text: Sequence of monotone functions converging to a continuous limit, is the convergence uniform?
negative_passages.docid: 126842
negative_passages.text: Fixed point in a continuous function
negative_passages.docid: 41847
negative_passages.text: Uniformly continuous function with unbounded variation
negative_passages.docid: 64197
negative_passages.text: Subgradients of non-convex functions
negative_passages.docid: 75882
negative_passages.text: Countability of local maxima on continuous real-valued functions
negative_passages.docid: 84394
negative_passages.text: Choice function for a collection of nonempty subsets of $\{0,1\}^\omega$
negative_passages.docid: 35671
negative_passages.text: Why can a discontinuous function not be differentiable?
negative_passages.docid: 54326
negative_passages.text: Plot a piecewise function with black and white disks marking discontinuities
negative_passages.docid: 152877
negative_passages.text: Is a monotone differentiable function continuously differentiable?
negative_passages.docid: 35264
negative_passages.text: Must a monotone function have a monotone derivative?
negative_passages.docid: 55268
negative_passages.text: Differentiable and Continuous functions on [0,1] with 'weird' conditions.
negative_passages.docid: 150833
negative_passages.text: Discontinuities of the derivative of a differentiable function on closed interval
negative_passages.docid: 28315
negative_passages.text: Monotone functions and non-vanishing of derivative
negative_passages.docid: 40576
negative_passages.text: Intermediate value property problem and continuous function