query: Composition of decreasing functions is increasing
positive_passages.docid: 145984
positive_passages.text: if $f: (0,\infty) \to (0,\infty)$ is a strictly decreasing then $f \circ f$ is decreasing?
negative_passages.docid: 136204
negative_passages.text: Intersection of a function having increasing derivative with tangent line
negative_passages.docid: 92870
negative_passages.text: composition of covering maps
negative_passages.docid: 152438
negative_passages.text: Is the composition of two injective functions injective?
negative_passages.docid: 99726
negative_passages.text: Proving that a function is not a contraction
negative_passages.docid: 145785
negative_passages.text: Sets of functions closed within composition.
negative_passages.docid: 39090
negative_passages.text: Finding functions such that $f(g(x)) = f(x)g(x)$
negative_passages.docid: 26566
negative_passages.text: Composition of two Riemann integrable functions
negative_passages.docid: 149390
negative_passages.text: Fixed point of a Function (monotonically increasing)
negative_passages.docid: 64197
negative_passages.text: Subgradients of non-convex functions
negative_passages.docid: 79301
negative_passages.text: Could a constant function be considered increasing?
negative_passages.docid: 124523
negative_passages.text: Finding an Inverse Function and Composition of Functions?
negative_passages.docid: 32580
negative_passages.text: Prove there exists a subsequence of the real numbers such that it is monotonically increasing or decreasing.
negative_passages.docid: 57938
negative_passages.text: When do two functions become equal?
negative_passages.docid: 25563
negative_passages.text: Count number of increasing functions, nondecreasing functions $f: \{1, 2, 3, \ldots, n\} \to \{1, 2, 3, \ldots, m\}$, with $m \geq n$.
negative_passages.docid: 128350
negative_passages.text: Number of non-decreasing functions between two finite sets
negative_passages.docid: 91852
negative_passages.text: A continuous, injective function $f: \mathbb{R} \to \mathbb{R}$ is either strictly increasing or strictly decreasing.