Numeros
I'm a math teacher. I like math and I like talking about math.
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The Man Who Was Good at Everything
Proving that min{a, b} = (a + b - |a - b|)/2
Verifying that e^(2πinθ/L) is L-Periodic
An orientation where the deg⁺(v) = deg⁻(v) in an Eulerian graph
A mutual vertex in every subtree if all subtrees have a non-empty intersection
There exists a vertex contained in every maximum length path in a tree
Existence of a non-leaf vertex adjacent to at most one non-leaf
9 points of intersection of the same colour on the xy grid
ordₙ(ab) = ordₙ(a)ordₙ(b) if ordₙ(a) and ordₙ(b) are co-prime
Position in a deck of cards and minimum number of shuffles
Minimum Shipping Cost from production centers to markets
Proving Fₙ₊₁Fₙ₋₁ = Fₙ² - (-1)ⁿ
Proving R(3, 4) = 9
Proving that a prime 2n + 1 divides 2ⁿ - 1 or 2ⁿ + 1
Showing that any positive integer greater than 1 does not divide 2ⁿ - 1
Computing expected profit for a taxi driver travelling in two different zones
Proving the Annihilator is an Ideal
Proving (-1)² = 1 in a ring with unity 1 and additive inverse -1
Determining what proportion of vehicles on the road are trucks
Identifying transient and recurrent classes given a transition probability matrix
Expressing NapLog(xy) and NapLog(x/y) in terms of NapLogx and NapLogy
Determining area of Shoemaker's Knife
Proving that countable subsets of ℝ have measure zero
Showing that the sum of squares from 1 to n equals n(n+1)(n+2)/6