query: A continuous function with a local maximum
positive_passages.docid: 148931
positive_passages.text: Constructing a function that is continuous and has a max on an open interval, but is not necessarily increasing immediately to the left of the max.
negative_passages.docid: 126759
negative_passages.text: Unbounded continuous function on non-compact metric space
negative_passages.docid: 55679
negative_passages.text: Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
negative_passages.docid: 76396
negative_passages.text: Nowhere monotonic continuous function
negative_passages.docid: 131444
negative_passages.text: Local maximum implies derivative is $0$
negative_passages.docid: 18082
negative_passages.text: A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
negative_passages.docid: 140445
negative_passages.text: Sequence of continuous functions whose pointwise limit is discontinuous
negative_passages.docid: 91398
negative_passages.text: Continuous function on R which tends to infinity on open interval must have a minimum
negative_passages.docid: 120947
negative_passages.text: continuous real-valued function
negative_passages.docid: 142459
negative_passages.text: Continuity of a Function in Terms of Closure and Interior
negative_passages.docid: 73469
negative_passages.text: Continuity of the function $x\mapsto d(x,A)$ on a metric space
negative_passages.docid: 143174
negative_passages.text: property of continuous function
negative_passages.docid: 48764
negative_passages.text: Increasing real valued function whose image set is connected
negative_passages.docid: 22641
negative_passages.text: Nonlinear function continuous but not bounded
negative_passages.docid: 60070
negative_passages.text: Unique uniformly continuous function into complete space
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 60700
negative_passages.text: Continuity of a function to the integers