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1(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’
‘He also made contributions on the uniform distribution of numbers modulo 1 which are fundamental in analytic number theory.’
‘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.’
‘All that is left to determine is the case of linking numbers congruent to 0 modulo 4.’
‘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.’
1.1as modifierUsing 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).