query: How to encode a continuous function by a real number
positive_passages.docid: 41052
positive_passages.text: The set of real numbers and power set of the natural numbers
negative_passages.docid: 32205
negative_passages.text: Topology on the real numbers such that all polynomials are continuous but cosine is not continuous
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: 13765
negative_passages.text: Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?
negative_passages.docid: 54797
negative_passages.text: Find the continuous function defined over $[0,1]$ such that $\int_0^1f(x){\rm d}x=1, \int_0^1 xf(x){\rm d}x=a$ and $\int_0^1x^2f(x){\rm d}x=a^2 .$
negative_passages.docid: 44574
negative_passages.text: Continuity of absolute value of a function
negative_passages.docid: 76009
negative_passages.text: Can a continuous function from the reals to the reals assume each value an even number of times?
negative_passages.docid: 34836
negative_passages.text: Composition of Absolutely Continuous Functions
negative_passages.docid: 158567
negative_passages.text: A uniform continuous function which is not Hölder continuous
negative_passages.docid: 28425
negative_passages.text: Constructing a sequence of function
negative_passages.docid: 68171
negative_passages.text: Non-trigonometric Continuous Periodic Functions
negative_passages.docid: 66601
negative_passages.text: Convert continuous numeric values to discrete categories defined by intervals
negative_passages.docid: 29582
negative_passages.text: Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
negative_passages.docid: 100187
negative_passages.text: Show function is continuous at origin
negative_passages.docid: 46834
negative_passages.text: show that a distance function is continuous
negative_passages.docid: 100759
negative_passages.text: Extending exponentiation to reals
negative_passages.docid: 103241
negative_passages.text: A function that is continuous at the origin but not differentiable there