Etymology

fencepost problem

Today it means: A problem dealing with how to treat the initial or boundary values of a discrete problem. Full definition →

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The story

By analogy with fence-building. If one wants to say "lay a fencepost, then a length of fence, then repeat", then a special case must be made for the final fencepost. If one wants to say "lay a length of fence, then a fencepost, then repeat", then a special case must be made for the initial fencepost.

Etymology from Wiktionary, CC BY-SA 4.0.