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the smallest gap you're still legally allowed to call a difference.

means a symbol for an arbitrarily small positive quantity, used to say how close is close enough.

from fifth letter of the greek alphabet, borrowed by 19th-century mathematicians like weierstrass and cauchy to formalize limits and rigorously pin down what infinitely close actually means.

for instance

epsilon greedy algorithmreinforcement learning, explores randomly with probability epsilon

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