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my favourite part is when you do by parts and it results in integral(say equation 1), then you do another and it results in original integral you started with(say equation 2).

so, you go clever and add both and find the result. it’s clever and satisfying.

ah, a fellow graph theory enjoyer.

it’s a meme on surname, relating to graph theory.

some basic definition to get you started it you’re too much into it:

• graph: a thing made of vertices(also called nodes) connected by edges.
• path of a graph: if you traverse a part of graph visiting any(not necessarily all) vertex and edge you encounter exactly once, it’s called a path of that graph
• cycle: cycle is basically path with your starting and end point being the same(hence the name)

now if you can visit every node of a graph exactly once(you can skip some edges, doesn’t matter) and come back to the same vertex you started from(aka cycle), that cycle is called a Hamiltonian cycle(named after William Rowan Hamilton, Irish mathematician). and the graph is a Hamiltonian graph.

so, this meme is basically replacing that Hamilton with this Hamilton(and the “cycle” from a mathematical concept to a race track).

also the race track is actually a Hamiltonian cycle(you can verify it using the definitions written above).

PS: another type of graph in a graph theory is an eulerian graph. which is a graph in which there exists a cycle(actually a circuit, but doesn’t matter much for this short overview) such that every edge is visited exactly once.

nice meme and description, both here and on imgur.