different between remainder vs residuum

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 residuum.

Pronunciation

• IPA^(key): /???z?.dju.?m/

Noun

residuum (plural residuums or residua)

1. The residue, remainder or rest of something
2. (chemistry) The solid material remaining after the liquid in which it was dissolved has been evaporated; a residue.
3. (fuzzy logic) A binary function from [0,1] × [0,1] to [0,1] which is defined in terms of the t-norm as follows: ${\displaystyle x\rightarrow y=\sup\{z|z*x\leqslant y\}}$, where ${\displaystyle *}$ denotes the t-norm function and ${\displaystyle \sup }$ denotes the supremum.

   The residuum of the minimum t-norm is a function ${\displaystyle \rightarrow }$ such that ${\displaystyle x\rightarrow y={\begin{cases}y,&{\text{if }}x>y\\1,&{\text{if }}x\leqslant y.\end{cases}}}$

4. (law) The residue of an estate

Synonyms

• (rest of something): lave, remnant; See also Thesaurus:remainder

See also

• (fuzzy logic): relative pseudo-complement

Latin

Adjective

residuum

1. nominative neuter singular of residuus
2. accusative masculine singular of residuus
3. accusative neuter singular of residuus
4. vocative neuter singular of residuus

References

• residuum in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition, 1883–1887)