For questions requesting examples of a certain structure or phenomenon
For questions requesting examples of a certain structure or phenomenon (such as an object satisfying specific conditions). For counterexamples, cf. also the counterexamples tag.
Questions tagged [examples]
544 questions
16
votes
2 answers
Examples of triality in mathematics
There are tons of interesting examples of duality in mathematics (Poincaré duality, Verdier duality, Stone duality, s-duality, Tannaka duality, Koszul duality, Spanier-Whitehead duality ... ). What examples are there of triality in…
Trent
- 999
7
votes
11 answers
Non-real constants
Constants are usually real numbers e.g. e, pi, gamma etc. Can you give examples of special constants that are not real? e.g. complex or p-adic constants.
A real number in base10 can be viewed as the coefficients of a power series evaluated at…
Roy Maclean
- 1,140
3
votes
2 answers
higher order structure by higher order derivatives
Anyone recall a structure determined by a 3rd order partial derivative?
not the general nth order of recent Baranovsky
Jim Stasheff
- 3,850
1
vote
2 answers
Why does the power series expressing e^x have the form of a constant raised to x ?
This question is probably very basic, but I've been away from school for a while and the answer eludes me.
I was tempted to prove that d/dx(e^x) = (e^x) for old times sake and that was easy enough. I just expressed e^x as a power series where n goes…
Matt
- 129
-1
votes
1 answer
Mathematical Proofs
Create an example of a function $f: \mathbb{R} \to \mathbb{R}$ such that $f(f(f(\mathbb{R}))) = f(f(\mathbb{R})) \neq f(\mathbb{R})$
