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preposition
Mathematics1(in number theory) with respect to or using a modulus of a specified number. Two numbers are congruent modulo a given number if they give the same remainder when divided by that number:
‘19 and 64 are congruent modulo 5’‘8 is equivalent to 1 in arithmetic modulo 7’- ‘I mathematically proved that the repeated addition process is the same as looking at the number modulo 9, i.e. divide by 9 and look at the remainder.’
- ‘He also made contributions on the uniform distribution of numbers modulo 1 which are fundamental in analytic number theory.’
- ‘All that is left to determine is the case of linking numbers congruent to 0 modulo 4.’
- ‘In particular he examined the remainders of powers of a number modulo n.’
- ‘Each time you are ready to make a flip, you note the number that appears in the upper righthand corner, and calculate the successor of that number modulo 4.’
- 1.1[as modifier] Using moduli:‘modulo operations’
- ‘In the mass-conserving variation, modulo 3 arithmetic is more useful.’
Origin
Late 19th century: from Latin, ablative of modulus (see modulus).
Pronunciation
Further reading
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