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Results tagged with big-list
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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
65
votes
Tweetable Mathematics
Erdos: You can color edges between √2ᵏ vertices red/blue so no monochrome size k subgraphs (Pick a random coloring. It probably works)
- 1,630
5
votes
Special rational numbers that appear as answers to natural questions
This may not exactly qualify, because it's still only the conjectured answer to a question.
The question: Consider all $2$-colorings of $\{1,\dots,n\}$. What is the minimum number of monochromatic $ …
- 5,781
23
votes
What are your favorite instructional counterexamples?
Two common misconceptions that students have about the concept of independence in probability are
1) Thinking "$X$ and $Y$ are independent" means "$X$ and $Y$ don't affect each other".
2) Thinking " …
- 5,781
123
votes
Accepted
If you break a stick at two points chosen uniformly, the probability the three resulting sti...
Here's what seems like the sort of argument you're looking for (based off of a trick Wendel used to compute the probability the convex hull of a set of random points on a sphere contains the center of …
- 5,781
8
votes
Undergraduate Level Math Books
For discrete mathematics, I would recommend Van Lint-Wilson's "A Course in Combinatorics" as a good introductory text. It consists of 38 (in my edition) chapters that give (often largely self-contain …
- 5,781