different between remainder vs modulo

English

Alternative forms

• remainer (obsolete)

Etymology

From Middle English remaindre, remeigner, from Anglo-Norman remaindre, with infinitive used as noun.

Pronunciation

• (Received Pronunciation) IPA^(key): /???me?nd?/, /???me?nd?/
• (General American) IPA^(key): /???me?nd?/
• Rhymes: -e?nd?(?)

Noun

remainder (plural remainders)

1. A part or parts remaining after some has/have been removed.

   My son ate part of his cake and I ate the remainder.

   You can have the remainder of my clothes.
2. (mathematics) The amount left over after subtracting the divisor as many times as possible from the dividend without producing a negative result. If n (dividend) and d (divisor) are integers, then n can always be expressed in the form n = dq + r, where q (quotient) and r (remainder) are also integers and 0 ? r < d.

   17 leaves a remainder of 2 when divided by 3.

   11 divided by 2 is 5 remainder 1.

3. (mathematics) The number left over after a simple subtraction

   10 minus 4 leaves a remainder of 6

5. (commerce) Excess stock items left unsold and subject to reduction in price.

   I got a really good price on this shirt because it was a remainder.

6. (law) An estate in expectancy which only comes in its heir's possession after an estate created by the same instrument has been determined

Synonyms

• (a part or parts remaining): remnant, residue, rest, lave; See also Thesaurus:remainder
• surplus

Antonyms

• (a part or parts remaining): dearth, deficiency, deficit, shortage, undersupply

Derived terms

• R (mathematics)
• remainderman
• contingent remainder

See also

• addition, summation: (augend) + (addend) = (summand) × (summand) = (sum, total)
• subtraction: (minuend) ? (subtrahend) = (difference)
• multiplication: (multiplier) × (multiplicand) = (factor) × (factor) = (product)
• division: (dividend) ÷ (divisor) = (quotient), remainder left over if divisor does not divide dividend
• modulus

Translations

See also

• remainderman

Adjective

remainder (not comparable)

1. Remaining.

Synonyms

• leftover

Translations

Verb

remainder (third-person singular simple present remainders, present participle remaindering, simple past and past participle remaindered)

1. (transitive, commerce) To mark or declare items left unsold as subject to reduction in price.

   The bookstore remaindered the unsold copies of that book at the end of summer.

Translations

Italian

Etymology

Borrowed from English remainder.

Noun

remainder m (invariable)

1. A remainder, (book) sold at reduced price

English

Etymology

From Latin modul?, ablative of modulus (“a measure”).

Pronunciation

• (Received Pronunciation) IPA^(key): /?m?d??l??/, /?m?dj?l??/
• (General American) IPA^(key): /?m?d??lo?/

Preposition

modulo

1. (mathematics) Given a specified modulus of.

2. (technical) Except for differences accounted for by.

   Synonym: up to
3. (The addition of quotations indicative of this usage is being sought:) (extended use) With due allowance for (a specified exception or particular detail).

   Synonyms: barring, except for, save for; see also Thesaurus:except

Translations

Noun

modulo (uncountable)

1. (computing) The operation or function that returns the remainder of one number divided by another.

   Synonym: modulus

See also

• congruent
• remainder

Further reading

• modulo on Wikipedia.Wikipedia
• modulo operation on Wikipedia.Wikipedia

Catalan

Verb

modulo

1. first-person singular present indicative form of modular

Italian

Etymology 1

From Latin modulus.

Pronunciation

• IPA^(key): /?m?.du.lo/

Noun

modulo m (plural moduli)

1. form

   Synonym: formulario

2. unit, module
3. (mathematics, physics) modulus
4. (astronomy) module
5. (soccer) formation

Derived terms

• modulare (adj)

Related terms

• modulare (verb)

Etymology 2

Verb

modulo

1. first-person singular present indicative of modulare

Further reading

• modulo in Treccani.it – Vocabolario Treccani on line, Istituto dell'Enciclopedia Italiana
• modulo on the Italian Wikipedia.Wikipedia ^it

Latin

Noun

modul?

1. dative singular of modulus
2. ablative singular of modulus

Spanish

Verb

modulo

1. First-person singular (yo) present indicative form of modular.