the.com/remainder

the leftover that refuses to divide cleanly, the math equivalent of unfinished business

means The part that is left over after something has been taken away, divided, or used up — in arithmetic, the bit that won't fit evenly into a division.

from From Old French 'remaindre,' to remain, which traces back to Latin 'remanere' — 're-' (back) plus 'manere' (to stay, to abide). So at its heart it means 'what stays behind.' The same 'manere' lives on in 'mansion' (a place you stay) and 'permanent' (staying through). 'Remainder' itself entered English through Anglo-French legal language, where it named the part of an estate left to pass on after a prior interest ended — the leftover, formalized.

modular fame
Clocks run entirely on remainders after 12
zero verdict
A remainder of zero means perfect divisibility
crypto guard
Modular remainders power internet encryption
book graveyard
Unsold books become discounted remainders
ancient roots
Euclid used remainders to find greatest common divisors
for instance

remainder theorem — polynomial division concept: if p(x) is divided by (x-a), the remainder equals p(a)

remainder estate — property law: what passes to a remainderman after a life estate ends, e.g., house to john for life, then to mary

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