query: An example of two functions commuting with each other
positive_passages.docid: 24126
positive_passages.text: When functions commute under composition
negative_passages.docid: 89257
negative_passages.text: Give an example of a function $f:\mathbb{R}^2 \mapsto \mathbb{R}^2$ such that
negative_passages.docid: 118154
negative_passages.text: $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ twice
negative_passages.docid: 26566
negative_passages.text: Composition of two Riemann integrable functions
negative_passages.docid: 82675
negative_passages.text: What is an example of function $f: \Bbb{N} \to \Bbb{Z}$ that is a bijection?
negative_passages.docid: 97336
negative_passages.text: Problem: Two Trains and a Fly
negative_passages.docid: 124374
negative_passages.text: A bijective function between a square and its side
negative_passages.docid: 145439
negative_passages.text: Function with inputs moved from each other for a distance less than $a$
negative_passages.docid: 99783
negative_passages.text: Representing a function as FHE circuit
negative_passages.docid: 14830
negative_passages.text: A transformation of F[x]
negative_passages.docid: 150961
negative_passages.text: An example for a homomorphism that is not an automorphism
negative_passages.docid: 52798
negative_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms
negative_passages.docid: 116389
negative_passages.text: If $\exp(t(A + B)) = \exp(tA) \exp(tB)$ for all $t \geq 0$ then $A,B$ commute
negative_passages.docid: 71104
negative_passages.text: If two functionals have the same kernel, then one is a multiple of the other
negative_passages.docid: 63701
negative_passages.text: An example of a regular function over an open set
negative_passages.docid: 44650
negative_passages.text: Several stationary points of the action functional
negative_passages.docid: 151947
negative_passages.text: Finding a pair of functions with properties