abacus

nl-noun

abacus m (plural abaci or abacussen, diminutive abacusje n)

abaci (plural)
abacussen (plural)
abacusje (diminutive neuter)

Borrowed from Latin abacus, from Ancient Greek ἄβαξ (ábax), possibly from a Semitic source; compare Hebrew אָבָק (avák, “dust”).

(arithmetic) abacus (arithmetic calculation device, usually with beads on rods)


product

en-noun

product (countable and uncountable, plural products)

From Middle English product, from Latin prōductus, perfect participle of prōdūcō, first attested in English in the mathematics sense.

The product of 2 and 3 is 6.  The product of 2, 3, and 4 is 24.

(arithmetic) A quantity obtained by multiplication of two or more numbers.


zero

Borrowed from English zero, French zéro, Italian zero, Spanish cero.


cube

en-verb

cube (third-person singular simple present cubes, present participle cubing, simple past and past participle cubed)

cubes (present singular third-person)
cubing (participle present)
cubed (participle past)
cubed (past)

From Old French cube, from Latin cubus, from Ancient Greek κύβος (kúbos).

Three cubed can be written as 3³, and equals twenty-seven.

From this severe trial Mr. Nackybal emerged with distinction, having in his cubing made only twenty-five slight mistakes out of the forty-six cubes demanded, and in his rooting, out of the fifty-three extractions propounded, committed a mere matter of four trifling errors!

1953, Samuel Beckett, Watt, 1st American edition, New York, N.Y.: Grove Press, published 1959, →OCLC:

(transitive, arithmetic) To raise to the third power; to determine the result of multiplying by itself twice.


irrational

en-adj

irrational (comparative more irrational, superlative most irrational)

more irrational (comparative)
most irrational (superlative)

From Latin irratiōnālis, from ir- + ratiōnālis.

The number π is irrational.

(mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.


ad

hu-conj

Forms in parentheses are somewhat archaic or literary.

This verb has no prefix that could split, despite its first few letters.

adok (first-person indicative object-indefinite present singular)
adsz (indicative informal object-indefinite present second-person singular)
ad (formal indicative object-indefinite present second-person-semantically singular third-person)
ad (indicative object-indefinite present singular third-person)
adunk (first-person indicative object-indefinite plural present)
adtok (indicative informal object-indefinite plural present second-person)
adnak (formal indicative object-indefinite plural present second-person-semantically third-person)
adnak (indicative object-indefinite plural present third-person)
adom (first-person indicative object-definite present singular)
adod (indicative informal object-definite present second-person singular)
adja (formal indicative object-definite present second-person-semantically singular third-person)
adja (indicative object-definite present singular third-person)
adjuk (first-person indicative object-definite plural present)
adjátok (indicative informal object-definite plural present second-person)
adják (formal indicative object-definite plural present second-person-semantically third-person)
adják (indicative object-definite plural present third-person)
adlak (first-person indicative object-second-person present singular)
adtam (first-person indicative object-indefinite past singular)
adtál (indicative informal object-indefinite past second-person singular)
adott (formal indicative object-indefinite past second-person-semantically singular third-person)
adott (indicative object-indefinite past singular third-person)
adtunk (first-person indicative object-indefinite past plural)
adtatok (indicative informal object-indefinite past plural second-person)
adtak (formal indicative object-indefinite past plural second-person-semantically third-person)
adtak (indicative object-indefinite past plural third-person)
adtam (first-person indicative object-definite past singular)
adtad (indicative informal object-definite past second-person singular)
adta (formal indicative object-definite past second-person-semantically singular third-person)
adta (indicative object-definite past singular third-person)
adtuk (first-person indicative object-definite past plural)
adtátok (indicative informal object-definite past plural second-person)
adták (formal indicative object-definite past plural second-person-semantically third-person)
adták (indicative object-definite past plural third-person)
adtalak (first-person indicative object-second-person past singular)
or a time adverb (first-person future indicative third-person)
or a time adverb (formal future indicative second-person-semantically third-person)
or a time adverb (future indicative informal second-person)
e.g. adni fog. (first-person future indicative third-person)
e.g. adni fog. (formal future indicative second-person-semantically third-person)
e.g. adni fog. (future indicative informal second-person)
adék (first-person object-indefinite singular)
adál (informal object-indefinite second-person singular)
ada (formal object-indefinite second-person-semantically singular third-person)
ada (object-indefinite singular third-person)
adánk (first-person object-indefinite plural)
adátok (informal object-indefinite plural second-person)
adának (formal object-indefinite plural second-person-semantically third-person)
adának (object-indefinite plural third-person)
adám (first-person object-definite singular)
adád (informal object-definite second-person singular)
adá (formal object-definite second-person-semantically singular third-person)
adá (object-definite singular third-person)
adánk (first-person object-definite plural)
adátok (informal object-definite plural second-person)
adák (formal object-definite plural second-person-semantically third-person)
adák (object-definite plural third-person)
adálak (first-person object-second-person singular)
e.g. ad vala (first-person third-person)
e.g. ad vala (formal second-person-semantically third-person)
e.g. ad vala (informal second-person)
adott vala (first-person third-person)
adott vala (formal second-person-semantically third-person)
adott vala (informal second-person)
volt. (first-person third-person)
volt. (formal second-person-semantically third-person)
volt. (informal second-person)
adandok (first-person object-indefinite singular)
adandasz (informal object-indefinite second-person singular)
adand (formal object-indefinite second-person-semantically singular third-person)
adand (object-indefinite singular third-person)
adandunk (first-person object-indefinite plural)
adandotok (informal object-indefinite plural second-person)
adandanak (formal object-indefinite plural second-person-semantically third-person)
adandanak (object-indefinite plural third-person)
adandom (first-person object-definite singular)
adandod (informal object-definite second-person singular)
adandja (formal object-definite second-person-semantically singular third-person)
adandja (object-definite singular third-person)
adandjuk (first-person object-definite plural)
adandjátok (informal object-definite plural second-person)
adandják (formal object-definite plural second-person-semantically third-person)
adandják (object-definite plural third-person)
adandalak (first-person object-second-person singular)
adnék (conditional first-person object-indefinite present singular)
adnál (conditional informal object-indefinite present second-person singular)
adna (conditional formal object-indefinite present second-person-semantically singular third-person)
adna (conditional object-indefinite present singular third-person)
adnánk (conditional first-person object-indefinite plural present)
adnátok (conditional informal object-indefinite plural present second-person)
adnának (conditional formal object-indefinite plural present second-person-semantically third-person)
adnának (conditional object-indefinite plural present third-person)
adnám (conditional first-person object-definite present singular)
adnád (conditional informal object-definite present second-person singular)
adná (conditional formal object-definite present second-person-semantically singular third-person)
adná (conditional object-definite present singular third-person)
adnánk (conditional first-person object-definite plural present)
or adnók (conditional first-person object-definite plural present)
adnátok (conditional informal object-definite plural present second-person)
adnák (conditional formal object-definite plural present second-person-semantically third-person)
adnák (conditional object-definite plural present third-person)
adnálak (conditional first-person object-second-person present singular)
Indicative past forms followed by volna (conditional first-person past third-person)
Indicative past forms followed by volna (conditional formal past second-person-semantically third-person)
Indicative past forms followed by volna (conditional informal past second-person)
e.g. adott volna (conditional first-person past third-person)
e.g. adott volna (conditional formal past second-person-semantically third-person)
e.g. adott volna (conditional informal past second-person)
adjak (first-person object-indefinite present singular subjunctive)
adj or (informal object-indefinite present second-person singular subjunctive)
adjál (informal object-indefinite present second-person singular subjunctive)
adjon (formal object-indefinite present second-person-semantically singular subjunctive third-person)
adjon (object-indefinite present singular subjunctive third-person)
adjunk (first-person object-indefinite plural present subjunctive)
adjatok (informal object-indefinite plural present second-person subjunctive)
adjanak (formal object-indefinite plural present second-person-semantically subjunctive third-person)
adjanak (object-indefinite plural present subjunctive third-person)
adjam (first-person object-definite present singular subjunctive)
add or (informal object-definite present second-person singular subjunctive)
adjad (informal object-definite present second-person singular subjunctive)
adja (formal object-definite present second-person-semantically singular subjunctive third-person)
adja (object-definite present singular subjunctive third-person)
adjuk (first-person object-definite plural present subjunctive)
adjátok (informal object-definite plural present second-person subjunctive)
adják (formal object-definite plural present second-person-semantically subjunctive third-person)
adják (object-definite plural present subjunctive third-person)
adjalak (first-person object-second-person present singular subjunctive)
e.g. adott légyen (first-person third-person)
e.g. adott légyen (formal second-person-semantically third-person)
e.g. adott légyen (informal second-person)
adni (infinitive)
adnom (first-person infinitive singular)
adnod (infinitive informal second-person singular)
adnia (formal infinitive second-person-semantically singular third-person)
adnia (infinitive singular third-person)
adnunk (first-person infinitive plural)
adnotok (infinitive informal plural second-person)
adniuk (formal infinitive plural second-person-semantically third-person)
adniuk (infinitive plural third-person)
adás (noun-from-verb)
adó
adott
adandó (future participle)
adva
adván
adat (causative)
adhatok (first-person indicative object-indefinite present singular)
adhatsz (indicative informal object-indefinite present second-person singular)
adhat (formal indicative object-indefinite present second-person-semantically singular third-person)
adhat (indicative object-indefinite present singular third-person)
adhatunk (first-person indicative object-indefinite plural present)
adhattok (indicative informal object-indefinite plural present second-person)
adhatnak (formal indicative object-indefinite plural present second-person-semantically third-person)
adhatnak (indicative object-indefinite plural present third-person)
adhatom (first-person indicative object-definite present singular)
adhatod (indicative informal object-definite present second-person singular)
adhatja (formal indicative object-definite present second-person-semantically singular third-person)
adhatja (indicative object-definite present singular third-person)
adhatjuk (first-person indicative object-definite plural present)
adhatjátok (indicative informal object-definite plural present second-person)
adhatják (formal indicative object-definite plural present second-person-semantically third-person)
adhatják (indicative object-definite plural present third-person)
adhatlak (first-person indicative object-second-person present singular)
adhattam (first-person indicative object-indefinite past singular)
adhattál (indicative informal object-indefinite past second-person singular)
adhatott (formal indicative object-indefinite past second-person-semantically singular third-person)
adhatott (indicative object-indefinite past singular third-person)
adhattunk (first-person indicative object-indefinite past plural)
adhattatok (indicative informal object-indefinite past plural second-person)
adhattak (formal indicative object-indefinite past plural second-person-semantically third-person)
adhattak (indicative object-indefinite past plural third-person)
adhattam (first-person indicative object-definite past singular)
adhattad (indicative informal object-definite past second-person singular)
adhatta (formal indicative object-definite past second-person-semantically singular third-person)
adhatta (indicative object-definite past singular third-person)
adhattuk (first-person indicative object-definite past plural)
adhattátok (indicative informal object-definite past plural second-person)
adhatták (formal indicative object-definite past plural second-person-semantically third-person)
adhatták (indicative object-definite past plural third-person)
adhattalak (first-person indicative object-second-person past singular)
adhaték (first-person object-indefinite singular)
adhatál (informal object-indefinite second-person singular)
adhata (formal object-indefinite second-person-semantically singular third-person)
adhata (object-indefinite singular third-person)
adhatánk (first-person object-indefinite plural)
adhatátok (informal object-indefinite plural second-person)
adhatának (formal object-indefinite plural second-person-semantically third-person)
adhatának (object-indefinite plural third-person)
adhatám (first-person object-definite singular)
adhatád (informal object-definite second-person singular)
adhatá (formal object-definite second-person-semantically singular third-person)
adhatá (object-definite singular third-person)
adhatánk (first-person object-definite plural)
adhatátok (informal object-definite plural second-person)
adhaták (formal object-definite plural second-person-semantically third-person)
adhaták (object-definite plural third-person)
adhatálak (first-person object-second-person singular)
e.g. adhat vala (first-person third-person)
e.g. adhat vala (formal second-person-semantically third-person)
e.g. adhat vala (informal second-person)
adhatott vala (first-person third-person)
adhatott vala (formal second-person-semantically third-person)
adhatott vala (informal second-person)
volt. (first-person third-person)
volt. (formal second-person-semantically third-person)
volt. (informal second-person)
adhatandok (first-person object-indefinite singular)
or adandhatok (first-person object-indefinite singular)
adhatandasz (informal object-indefinite second-person singular)
or adandhatsz (informal object-indefinite second-person singular)
adhatand (formal object-indefinite second-person-semantically singular third-person)
adhatand (object-indefinite singular third-person)
or adandhat (formal object-indefinite second-person-semantically singular third-person)
or adandhat (object-indefinite singular third-person)
adhatandunk (first-person object-indefinite plural)
or adandhatunk (first-person object-indefinite plural)
adhatandotok (informal object-indefinite plural second-person)
or adandhattok (informal object-indefinite plural second-person)
adhatandanak (formal object-indefinite plural second-person-semantically third-person)
adhatandanak (object-indefinite plural third-person)
or adandhatnak (formal object-indefinite plural second-person-semantically third-person)
or adandhatnak (object-indefinite plural third-person)
adhatandom (first-person object-definite singular)
or adandhatom (first-person object-definite singular)
adhatandod (informal object-definite second-person singular)
or adandhatod (informal object-definite second-person singular)
adhatandja (formal object-definite second-person-semantically singular third-person)
adhatandja (object-definite singular third-person)
or adandhatja (formal object-definite second-person-semantically singular third-person)
or adandhatja (object-definite singular third-person)
adhatandjuk (first-person object-definite plural)
or adandhatjuk (first-person object-definite plural)
adhatandjátok (informal object-definite plural second-person)
or adandhatjátok (informal object-definite plural second-person)
adhatandják (formal object-definite plural second-person-semantically third-person)
adhatandják (object-definite plural third-person)
or adandhatják (formal object-definite plural second-person-semantically third-person)
or adandhatják (object-definite plural third-person)
adhatandalak (first-person object-second-person singular)
or adandhatlak (first-person object-second-person singular)
adhatnék (conditional first-person object-indefinite present singular)
adhatnál (conditional informal object-indefinite present second-person singular)
adhatna (conditional formal object-indefinite present second-person-semantically singular third-person)
adhatna (conditional object-indefinite present singular third-person)
adhatnánk (conditional first-person object-indefinite plural present)
adhatnátok (conditional informal object-indefinite plural present second-person)
adhatnának (conditional formal object-indefinite plural present second-person-semantically third-person)
adhatnának (conditional object-indefinite plural present third-person)
adhatnám (conditional first-person object-definite present singular)
adhatnád (conditional informal object-definite present second-person singular)
adhatná (conditional formal object-definite present second-person-semantically singular third-person)
adhatná (conditional object-definite present singular third-person)
adhatnánk (conditional first-person object-definite plural present)
or adhatnók (conditional first-person object-definite plural present)
adhatnátok (conditional informal object-definite plural present second-person)
adhatnák (conditional formal object-definite plural present second-person-semantically third-person)
adhatnák (conditional object-definite plural present third-person)
adhatnálak (conditional first-person object-second-person present singular)
Indicative past forms followed by volna (conditional first-person past third-person)
Indicative past forms followed by volna (conditional formal past second-person-semantically third-person)
Indicative past forms followed by volna (conditional informal past second-person)
e.g. adhatott volna (conditional first-person past third-person)
e.g. adhatott volna (conditional formal past second-person-semantically third-person)
e.g. adhatott volna (conditional informal past second-person)
adhassak (first-person object-indefinite present singular subjunctive)
adhass or (informal object-indefinite present second-person singular subjunctive)
adhassál (informal object-indefinite present second-person singular subjunctive)
adhasson (formal object-indefinite present second-person-semantically singular subjunctive third-person)
adhasson (object-indefinite present singular subjunctive third-person)
adhassunk (first-person object-indefinite plural present subjunctive)
adhassatok (informal object-indefinite plural present second-person subjunctive)
adhassanak (formal object-indefinite plural present second-person-semantically subjunctive third-person)
adhassanak (object-indefinite plural present subjunctive third-person)
adhassam (first-person object-definite present singular subjunctive)
adhasd or (informal object-definite present second-person singular subjunctive)
adhassad (informal object-definite present second-person singular subjunctive)
adhassa (formal object-definite present second-person-semantically singular subjunctive third-person)
adhassa (object-definite present singular subjunctive third-person)
adhassuk (first-person object-definite plural present subjunctive)
adhassátok (informal object-definite plural present second-person subjunctive)
adhassák (formal object-definite plural present second-person-semantically subjunctive third-person)
adhassák (object-definite plural present subjunctive third-person)
adhassalak (first-person object-second-person present singular subjunctive)
e.g. adhatott légyen (first-person third-person)
e.g. adhatott légyen (formal second-person-semantically third-person)
e.g. adhatott légyen (informal second-person)
adhatni
adhatnom (first-person singular)
adhatnod (informal second-person singular)
adhatnia (formal second-person-semantically singular third-person)
adhatnia (singular third-person)
adhatnunk (first-person plural)
adhatnotok (informal plural second-person)
adhatniuk (formal plural second-person-semantically third-person)
adhatniuk (plural third-person)
adható (first-person singular)
adhatatlan (formal second-person-semantically singular third-person)
adhatatlan (singular third-person)
adhatva / adhatván (formal plural second-person-semantically third-person)
adhatva / adhatván (informal plural second-person)
adhatva / adhatván (plural third-person)

Inherited from Proto-Uralic *ëmta-. Cognates include Finnish antaa and Estonian andma.

(transitive, arithmetic) to add (-hoz/-hez/-höz)


rational

en-adj

rational (comparative more rational, superlative most rational)

more rational (comparative)
most rational (superlative)

From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).

der

/ˈɹæʃ(ə)nəl/

¾ is a rational number, but √2 is an irrational number.

(mathematics, not comparable) Comprising, or expressible as, a ratio

(arithmetic) Of a number, capable of being expressed as the ratio of two integers.


ordinal number

In the expression a₃, the "3" is an ordinal number.

(arithmetic) A natural number used to denote position in a sequence.

nombre ordinal

grammar: word used to denote relative position in a sequence

序數 /序数

arithmetic: number used to denote position in a sequence

ordinální číslo

generalized kind of number to denote the length of a well-order on a set


to

From Middle English to, from Old English tō, from Proto-Germanic *tō ~ *ta, from Proto-Indo-European *de ~ *do (“to”). Cognate with Scots tae, to (“to”), North Frisian to, tö, tu (“to”), Saterland Frisian tou (“to”), Low German to (“to”), Dutch toe, te (“to”), German zu (“to”), West Frisian ta (“to”). Non-Germanic cognates include Albanian ndaj (“towards”), Irish do (“to, for”), Breton da (“to, for”), Welsh i (“to, for”), Russian до (do, “to”). Doublet of too.

uses the dative case or նկատմամբ (nkatmamb)

(first number in genitive case) suhde (second number in illative case) (e.g. yhden suhde yhteen ~ one to one)

(ordinal number of the exponent in illative case)

ב־

written together with the following word

(ordinal number of the exponent in superessive case)

Three squared or three to the second power is nine.

Three to the power of two is nine.

Three to the second is nine.

(arithmetic) Used to indicate that the preceding term is to be raised to the power of the following value; indicates exponentiation.


addition

en-noun

addition (countable and uncountable, plural additions)

Sense of “what is added” dates from 14th century, from Middle English addicioun, addition, from Old French adition, from Latin additiōnem, accusative singular of additiō, from addō (“add, put”).

arithmetic operation
arithmetic operation

(uncountable, arithmetic) The arithmetic operation of adding.

remainder left over if divisor does not divide dividend


addition

head

addition c (singular definite additionen, plural indefinite additioner)

additionen (definite singular)
additioner (indefinite plural)
addition (indefinite nominative singular)
additionen (definite nominative singular)
additioner (indefinite nominative plural)
additionerne (definite nominative plural)
additions (genitive indefinite singular)
additionens (definite genitive singular)
additioners (genitive indefinite plural)
additionernes (definite genitive plural)


addition

→ Turkish: adisyon

Learned borrowing from Latin additiōnem.

(arithmetic) addition (operation of adding a number to another)


pay

pay (definite accusative payı, plural paylar)

payı (accusative definite)
paylar (plural)
pay (nominative singular)
paylar (nominative plural)
payı (accusative definite singular)
payları (accusative definite plural)
paya (dative singular)
paylara (dative plural)
payda (locative singular)
paylarda (locative plural)
paydan (ablative singular)
paylardan (ablative plural)
payın (genitive singular)
payların (genitive plural)
payım (first-person nominative singular)
paylarım (first-person nominative singular)
payın (nominative second-person singular)
payların (nominative second-person singular)
payı (nominative singular third-person)
payları (nominative singular third-person)
payımız (first-person nominative plural)
paylarımız (first-person nominative plural)
payınız (nominative plural second-person)
paylarınız (nominative plural second-person)
payları (nominative plural third-person)
payımı (accusative definite first-person singular)
paylarımı (accusative definite first-person singular)
payını (accusative definite second-person singular)
paylarını (accusative definite second-person singular)
payını (accusative definite singular third-person)
paylarını (accusative definite singular third-person)
payımızı (accusative definite first-person plural)
paylarımızı (accusative definite first-person plural)
payınızı (accusative definite plural second-person)
paylarınızı (accusative definite plural second-person)
paylarını (accusative definite plural third-person)
payıma (dative first-person singular)
paylarıma (dative first-person singular)
payına (dative second-person singular)
paylarına (dative second-person singular)
payına (dative singular third-person)
paylarına (dative singular third-person)
payımıza (dative first-person plural)
paylarımıza (dative first-person plural)
payınıza (dative plural second-person)
paylarınıza (dative plural second-person)
paylarına (dative plural third-person)
payımda (first-person locative singular)
paylarımda (first-person locative singular)
payında (locative second-person singular)
paylarında (locative second-person singular)
payında (locative singular third-person)
paylarında (locative singular third-person)
payımızda (first-person locative plural)
paylarımızda (first-person locative plural)
payınızda (locative plural second-person)
paylarınızda (locative plural second-person)
paylarında (locative plural third-person)
payımdan (ablative first-person singular)
paylarımdan (ablative first-person singular)
payından (ablative second-person singular)
paylarından (ablative second-person singular)
payından (ablative singular third-person)
paylarından (ablative singular third-person)
payımızdan (ablative first-person plural)
paylarımızdan (ablative first-person plural)
payınızdan (ablative plural second-person)
paylarınızdan (ablative plural second-person)
paylarından (ablative plural third-person)
payımın (first-person genitive singular)
paylarımın (first-person genitive singular)
payının (genitive second-person singular)
paylarının (genitive second-person singular)
payının (genitive singular third-person)
paylarının (genitive singular third-person)
payımızın (first-person genitive plural)
paylarımızın (first-person genitive plural)
payınızın (genitive plural second-person)
paylarınızın (genitive plural second-person)
paylarının (genitive plural third-person)

Armenian: փայ (pʻay)

From Ottoman Turkish پای (pay), ultimately from Middle Chinese 派 (pài, “to hand out, distribute”).


integer

[ˈɪn.tʰɪ.d͡ʒɚ]

[ˈɪn.ɾ̃ɪ.d͡ʒɚ]

Borrowed from Latin integer (“whole”), from Proto-Italic *əntagros (“untouched”). Doublet of entier and entire. Related to English tact, thack, and thwack.

God made the integers; all else is the work of man

1886, Leopold Kronecker, speech to the Berliner Naturforscher-Versammlung:

(arithmetic) A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}.

when understood to include negative numbers and zero


乘

Pictogram (象形) – a person 大 climbing a tree 木, with the feet visible. Etymology clearer in alternative form 椉. In this form, simplified to 禾 (“tree and top”) + 北 (“feet”).

addition, subtraction, multiplication, division

加減乘除

加减乘除

二乘八等於十六。

二乘八等于十六。


加

Shuowen: ideogrammic compound (會意 /会意): 力 (“strength”) + 口 (“mouth”) — exaggerate; slander.
Sun Changxu: ideogrammic compound (會意 /会意): 力 (“plowing”) + 口 (“mouth”) — to put more effort. 口 here indicates exclamations or breath associated with the effort.
駕 (OC *kraːls, “to yoke”) is the exopassive of 加 (OC *kraːl, “to add; to attach”) (Schuessler, 2007). Cognate with Tibetan ཁྲལ (khral, “to impose a tax”), Burmese ကြား (kra:, “between”).


商

商 (canonical)
shō (romanization)
syau (romanization)
しやう (hiragana historical)

From Middle Chinese 商 (syang, “commerce”).


名

/ᵐbiaŋ²²⁻²²⁵/

/ᵐbiaŋ²²⁻²²⁵/

Ideogrammic compound (會意 /会意): 夕 (“crescent moon”) + 口 (“mouth”) — to say one's own name to identify oneself in the dark.
An alternative theory has been proposed based on Shang era texts. 口 was originally used to write both 口 and 名. 夕 standing for what later came to be written 明, was added as a phonetic indicator to disambiguate the two meanings.
From Proto-Sino-Tibetan *r-miŋ (“name”). Cognate with Tibetan མིང (ming), Burmese အမည် (a.many), and Mizo hming.

The product of two numbers of the same sign is positive. The product of two numbers of opposite signs is negative.

Zhu Shijie, 《算學啟蒙》, Yuan Dynasty (c. 1299)

Tóng míng xiāngchéng yuē zhèng, yì míng xiāngchéng wéi fù.

同名相乘曰正，異名相乘為負。

同名相乘曰正，异名相乘为负。


實

Ideogrammic compound (會意 /会意): 宀 (“roof”) + 周 (“carved jade”) + 貝 (“shellfish; cowrie”).
The two lower components of 周 and 貝 had combined to form 貫 (OC *koːn, *koːns, “string of cowries”), hence the incorrect analysis in Shuowen Jiezi of this character as 宀 + 貫.

och-l

[To calculate the difference between two fractions,] multiply each fraction's numerator by the other's denominator, and subtract the smaller product from the larger one, and let the difference be the divisor. Let the product of the two denominators be the dividend. Add one to the result for each part in the dividend that equals to the divisor (which means to divide the dividend by the divisor).

10th–2nd century BCE, The Nine Chapters on the Mathematical Art

Mǔ hù chéng zǐ, yǐ shào jiǎn duō, yú wèi shí. Mǔ xiàng chéng wèi fǎ. Shí rú fǎ ér yī.

母互乘子，以少減多，餘為實。母相乘為法。實如法而一。

母互乘子，以少减多，余为实。母相乘为法。实如法而一。


差

From Middle Chinese 差 (MC tsrhje|tsrhea|tsrheaj|tsrhae|tsrheaH).

九十と七十八の差は十二である。

Kyūjū to nanajūhachi no sa wa jūni de aru.

The difference of ninety and seventy-eight is twelve.


桁

桁溢れ

十桁の番号

二十進法では八千で四桁に達する。

Nijisshinhō de wa hassen de yon keta ni tassuru.

In base twenty, one reaches four digits at eight thousand.

2015, Yazawa Hisao, Deru toko dake! kihon jōhō gijutsusha [Just what you need: basics of information technology], page 27:

Hexadecimal is a system of counting based on 16 digits. In hexadecimal, since we need to represent values up to 15 with one digit we use A to F as numerals, and count 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10... and so on.

16進数は、16で桁上がりする数え方です。16進数では、15までを1桁で表さなければならないので、A～Fを数字として使って、0、1、2、3、4、5、6、7、8、9、A、B、C、D、E、F、10、……と数えます。

Jūroku shinsū wa, jūroku de keta agari suru kazoekata desu. Jūroku shinsū de wa, jūgo made o ichi keta de arawasanakereba naranai no de, ē~efu o sūji to shite tsukatte, zero, ichi, ni, san, yon, go, roku, nana, hachi, kyū, ē, bī, shī, dī, ī, efu, ichi-zero,…… to kazoemasu.

(arithmetic) digit (a numeral used in a positional numeral system)


根

Monic languages
redundancy (linguistics)

Phono-semantic compound (形聲 /形声, OC *kɯːn): semantic 木 + phonetic 艮 (OC *kɯːns).
Possibly of Austroasiatic origin (Schuessler, 2007). Compare Proto-Mon-Khmer *(d)kər (“tree, plant”) (whence Proto-Vietic *kəl > Vietnamese cây, Muong câl), *d₂gəl ~ d₂g(əə)l (“trunk; stump”) (whence Khmer គល់ (kŭəl, “stump; floating log”), Proto-Monic *t(l)gəl (“stump”)).
Alternatively, Smith (2011) proposes a derivation from 荄 (OC *kɯː, “grassroot”) with redundant nominalizing suffix *-n. See 荄 for more.

Han compound

均方根


減

/t͡ɕi̯ɛn²¹⁴/

/t͡ɕi̯ɛn²¹⁴/

Ideogrammic compound (會意 /会意) and phono-semantic compound (形聲 /形声, OC *krɯːmʔ, *ɡrɯːmʔ): semantic 水 (“water”) + phonetic 咸 (OC *ɡrɯːm, “seal”) - to seal off a stream of water, decreasing its flow. 咸 is the original character of 緘 /缄 and also serves as a semantic component.

Han compound

减
减
减
噉
咁
𡄎
緊
减


subtraction

en-noun

subtraction (countable and uncountable, plural subtractions)

Borrowed from Late Latin subtractio, subtractionis. Can be decomposed to subtract + -ion.

(arithmetic, uncountable) The process of subtracting a number from another.

The teacher has set us ten subtractions to do by tomorrow.

(arithmetic, countable) A calculation involving subtracting.


multiplication

multiplication (countable and uncountable, plural multiplications)

Borrowed from Middle French, from Old French multiplicacion, from Latin multiplicatio, multiplicationem; ~equivalent to multiplicate + -ion.

multiplication: (multiplier) × (multiplicand) = (factor) × (factor) =

(uncountable, arithmetic) The process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.

(countable, arithmetic) A calculation involving multiplication.


division

division (countable and uncountable, plural divisions)

PIE word
 *dwóh₁
From Middle English divisioun, from Old French division, from Latin dīvīsiō, dīvīsiōnem, noun of process form from perfect passive participle dīvīsus (“divided”), from dīvidō (“divide”). Doublet of divisio.

(arithmetic, uncountable) The process of dividing a number by another.

deel

arithmetic: process of dividing a number by another

I've got ten divisions to do for my homework.

(arithmetic) A calculation that involves this process.

deel

arithmetic: calculation involving this process


division

→ English: division

→ German: Division

→ Russian: дивизион (divizion)

Inherited from Old French, borrowed from Latin divisiōnem, noun of process form from perfect passive participle divisus (“divided”), from dīvidō (“divide”).


除

Phono-semantic compound (形聲 /形声, OC *l'a, *l'as): semantic 阜 + phonetic 余 (OC *la).


行

行: Hán Việt readings: hàng (canonical)
hành (canonical)
hãng (canonical)
hạng (canonical)
hạnh 行: Nôm readings: hàng (canonical)
hăng (canonical)
ngành (canonical)


fraction

Etymology tree
Middle English fraccioun
English fraction
From Middle English fraccioun (“a breaking”), from Anglo-Norman, Old French fraccion, from Medieval Latin fractio (“a fragment, portion”), from earlier Latin fractio (“a breaking, a breaking into pieces”), from fractus, past participle of frangere (“to break”) (whence English frangible), from Proto-Indo-European *bʰreg- (English break). Doublet of frazione.

der

Appendix:Roget MICRA thesaurus/Class I § 100a. Fraction

(arithmetic) A ratio of two numbers (numerator and denominator), usually written one above the other and separated by a horizontal bar called the vinculum or, alternatively, in sequence on the same line and separated by a solidus (diagonal bar).


với

head

众, 喟, 某, 貝, 買, 𠇍

vi-prep

众, 喟, 某, 貝, 買, 𠇍

众 (CJK)
喟 (CJK)
某 (CJK)
貝 (CJK)
買 (CJK)
𠇍 (CJK)

Cognate with Muong Bi pỡi.
Probably related as etymology 1, as prepositions in Vietnamese are most often originally verbals.
The form vuối used to enjoy widespread usage in both Northern and Southern dialects, but is now completely obsolete. This form might be the diphthongized equivalent of vói (“to stretch out, to reach out”) mentioned above.

LL-Q9199 (vie)-Jessica Nguyen (Pamputt)-với.wav

cộng 2 với 3

nhân tổng với hiệu

(arithmetic, after cộng (“to add”) or nhân (“to multiply”)) to or by

with; together with; along with; and
to or by


exponentiation

en-noun

exponentiation (countable and uncountable, plural exponentiations)

Ultimately from exponent + -ation. Perhaps from exponential + -ation.

In 5⁴ the base is 5 and the power is 4, so there are 4 identical factors of 5, and exponentiation gives 625 as the result.

"The remarkable fact about the system is that it achieves such a high level of security with only six exponentiations," Boneh said, referring to the calculations used to raise numbers to a power. Other systems do exponentiation once, suggesting that this system may be about six times slower because exponentiation is the most time-consuming step in encrypting the data.

1998 August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, in The New York Times:

(mathematics, arithmetic) The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.

berreketa

the process of calculating a power by multiplying together a number of equal factors

(mathematics, arithmetic, countable) A mathematical problem involving exponentiation.


borrow

en-verb

borrow (third-person singular simple present borrows, present participle borrowing, simple past and past participle borrowed)

borrows (present singular third-person)
borrowing (participle present)
borrowed (participle past)
borrowed (past)
borrow (infinitive)

carry

the equivalent reverse procedure in the inverse operation of addition

From Middle English borwen, borȝien, Old English borgian (“to borrow, lend, pledge surety for”), from Proto-West Germanic *borgōn, from Proto-Germanic *burgōną (“to pledge, take care of”), from Proto-Indo-European *bʰergʰ- (“to take care”).
Cognate with Dutch borgen (“to borrow, trust”), German borgen (“to borrow, lend”), Danish borge (“to vouch”). Related to Old English beorgan (“to save, preserve”). More at bury.

cog

(arithmetic) In a subtraction, to deduct (one) from a digit of the minuend and add ten to the following digit, in order that the subtraction of a larger digit in the subtrahend from the digit in the minuend to which ten is added gives a positive result.


carry

en-verb

carry (third-person singular simple present carries, present participle carrying, simple past and past participle carried)

carries (present singular third-person)
carrying (participle present)
carried (participle past)
carried (past)

borrow

the equivalent reverse procedure in the inverse operation of subtraction

→ Cantonese: carry

From Middle English carrien, from Anglo-Norman carier (modern French charrier); from a derivative of Latin carrus (“four-wheeled baggage wagon”), ultimately of Gaulish origin.

tīhei

on the back but held in place with hands

mackerel sky and mare's-tails make lofty ships carry low sails

mackerel sky and mare's-tails make tall ships carry low sails

one can't carry two watermelons under one arm

Five and nine are fourteen; carry the one to the tens place.

(transitive, arithmetic) In an addition, to transfer the quantity in excess of what is countable in the units in a column to the column immediately to the left in order to be added there.


vinculum

From Latin vinculum (“bond, link”), from vinciō (“bind, fetter, tie”) + -ulum.

(arithmetic, obsolete) Any symbol used to group some of the terms in an expression, indicating that that part of the calculation should be done before other parts, or that the Roman numeral underneath should be multiplied by 1,000.

(arithmetic) A horizontal line over the top of some of the terms in an expression, indicating that that part of the calculation is to be done before other parts.

(arithmetic) Specifically, the horizontal line between the numerator and denominator in a fraction.


surd

First attested in the mid 16th century from Latin surdus (“deaf, mute”), used in mathematics for “irrational,” reflecting ἄλογος (álogos, “irrational, speechless”) as found in Euclid, apparently transmitted via Arabic جِذْر أَصَمّ (jiḏr ʔaṣamm, “deaf root”). The phonetic sense, “voiceless,” emerged in the 18th century.

جِذْر أَصَمّ

(arithmetic) An irrational number, especially one expressed using the √ symbol.


root

en-noun

root (countable and uncountable, plural roots)

→ Irish: rúta

From Middle English rote, root, roote (“the underground part of a plant”), from late Old English rōt, from Old Norse rót (Icelandic rót), from Proto-Germanic *wrōts, from Proto-Indo-European *wréh₂ds (“root”); Doublet of wort, radish, and radix.

the love of money is the root of all evil

The cube root of 27 is 3.

(arithmetic) Of a number or expression, a number which, when raised to a specified power, yields the specified number or expression.

wortel

arithmetic: number or expression which when raised to a power gives the specified number or expression

Multiply by root 2.

1899, Dante Gabriel Rossetti (transl.), The New Life (La Vita Nuova) of Dante Alighieri, Siddall edition, page 122.
The number three is the root of the number nine; […] being multiplied merely by itself, it produceth nine, as we manifestly perceive that three times three are nine.

(arithmetic) A square root (understood if no power is specified; in which case, "the root of" is often abbreviated to "root").


kertoa

kerron (first-person indicative present singular)
en kerro (first-person indicative negative present singular)
olen kertonut (first-person indicative perfect singular)
en ole kertonut (first-person indicative negative perfect singular)
kerrot (indicative present second-person singular)
et kerro (indicative negative present second-person singular)
olet kertonut (indicative perfect second-person singular)
et ole kertonut (indicative negative perfect second-person singular)
kertoo (indicative present singular third-person)
ei kerro (indicative negative present singular third-person)
on kertonut (indicative perfect singular third-person)
ei ole kertonut (indicative negative perfect singular third-person)
kerromme (first-person indicative plural present)
emme kerro (first-person indicative negative plural present)
olemme kertoneet (first-person indicative perfect plural)
emme ole kertoneet (first-person indicative negative perfect plural)
kerrotte (indicative plural present second-person)
ette kerro (indicative negative plural present second-person)
olette kertoneet (indicative perfect plural second-person)
ette ole kertoneet (indicative negative perfect plural second-person)
kertovat (indicative plural present third-person)
eivät kerro (indicative negative plural present third-person)
ovat kertoneet (indicative perfect plural third-person)
eivät ole kertoneet (indicative negative perfect plural third-person)
kerrotaan (indicative passive present)
ei kerrota (indicative negative passive present)
on kerrottu (indicative passive perfect)
ei ole kerrottu (indicative negative passive perfect)
kerroin (first-person indicative past singular)
en kertonut (first-person indicative negative past singular)
olin kertonut (first-person indicative pluperfect singular)
en ollut kertonut (first-person indicative negative pluperfect singular)
kerroit (indicative past second-person singular)
et kertonut (indicative negative past second-person singular)
olit kertonut (indicative pluperfect second-person singular)
et ollut kertonut (indicative negative pluperfect second-person singular)
kertoi (indicative past singular third-person)
ei kertonut (indicative negative past singular third-person)
oli kertonut (indicative pluperfect singular third-person)
ei ollut kertonut (indicative negative pluperfect singular third-person)
kerroimme (first-person indicative past plural)
emme kertoneet (first-person indicative negative past plural)
olimme kertoneet (first-person indicative pluperfect plural)
emme olleet kertoneet (first-person indicative negative pluperfect plural)
kerroitte (indicative past plural second-person)
ette kertoneet (indicative negative past plural second-person)
olitte kertoneet (indicative pluperfect plural second-person)
ette olleet kertoneet (indicative negative pluperfect plural second-person)
kertoivat (indicative past plural third-person)
eivät kertoneet (indicative negative past plural third-person)
olivat kertoneet (indicative pluperfect plural third-person)
eivät olleet kertoneet (indicative negative pluperfect plural third-person)
kerrottiin (indicative passive past)
ei kerrottu (indicative negative passive past)
oli kerrottu (indicative passive pluperfect)
ei ollut kerrottu (indicative negative passive pluperfect)
kertoisin (conditional first-person present singular)
en kertoisi (conditional first-person negative present singular)
olisin kertonut (conditional first-person perfect singular)
en olisi kertonut (conditional first-person negative perfect singular)
kertoisit (conditional present second-person singular)
et kertoisi (conditional negative present second-person singular)
olisit kertonut (conditional perfect second-person singular)
et olisi kertonut (conditional negative perfect second-person singular)
kertoisi (conditional present singular third-person)
ei kertoisi (conditional negative present singular third-person)
olisi kertonut (conditional perfect singular third-person)
ei olisi kertonut (conditional negative perfect singular third-person)
kertoisimme (conditional first-person plural present)
emme kertoisi (conditional first-person negative plural present)
olisimme kertoneet (conditional first-person perfect plural)
emme olisi kertoneet (conditional first-person negative perfect plural)
kertoisitte (conditional plural present second-person)
ette kertoisi (conditional negative plural present second-person)
olisitte kertoneet (conditional perfect plural second-person)
ette olisi kertoneet (conditional negative perfect plural second-person)
kertoisivat (conditional plural present third-person)
eivät kertoisi (conditional negative plural present third-person)
olisivat kertoneet (conditional perfect plural third-person)
eivät olisi kertoneet (conditional negative perfect plural third-person)
kerrottaisiin (conditional passive present)
ei kerrottaisi (conditional negative passive present)
olisi kerrottu (conditional passive perfect)
ei olisi kerrottu (conditional negative passive perfect)
kerro (imperative present second-person singular)
älä kerro (imperative negative present second-person singular)
kertokoon (imperative present singular third-person)
älköön kertoko (imperative negative present singular third-person)
olkoon kertonut (imperative perfect singular third-person)
älköön olko kertonut (imperative negative perfect singular third-person)
kertokaamme (first-person imperative plural present)
älkäämme kertoko (first-person imperative negative plural present)
kertokaa (imperative plural present second-person)
älkää kertoko (imperative negative plural present second-person)
kertokoot (imperative plural present third-person)
älkööt kertoko (imperative negative plural present third-person)
olkoot kertoneet (imperative perfect plural third-person)
älkööt olko kertoneet (imperative negative perfect plural third-person)
kerrottakoon (imperative passive present)
älköön kerrottako (imperative negative passive present)
olkoon kerrottu (imperative passive perfect)
älköön olko kerrottu (imperative negative passive perfect)
kertonen (first-person potential present singular)
en kertone (first-person negative potential present singular)
lienen kertonut (first-person perfect potential singular)
en liene kertonut (first-person negative perfect potential singular)
kertonet (potential present second-person singular)
et kertone (negative potential present second-person singular)
lienet kertonut (perfect potential second-person singular)
et liene kertonut (negative perfect potential second-person singular)
kertonee (potential present singular third-person)
ei kertone (negative potential present singular third-person)
lienee kertonut (perfect potential singular third-person)
ei liene kertonut (negative perfect potential singular third-person)
kertonemme (first-person plural potential present)
emme kertone (first-person negative plural potential present)
lienemme kertoneet (first-person perfect plural potential)
emme liene kertoneet (first-person negative perfect plural potential)
kertonette (plural potential present second-person)
ette kertone (negative plural potential present second-person)
lienette kertoneet (perfect plural potential second-person)
ette liene kertoneet (negative perfect plural potential second-person)
kertonevat (plural potential present third-person)
eivät kertone (negative plural potential present third-person)
lienevät kertoneet (perfect plural potential third-person)
eivät liene kertoneet (negative perfect plural potential third-person)
kerrottaneen (passive potential present)
ei kerrottane (negative passive potential present)
lienee kerrottu (passive perfect potential)
ei liene kerrottu (negative passive perfect potential)
kertoa (infinitive infinitive-i)
kertova (active participle present)
kerrottava (participle passive present)
kertoakseni (first-person possessive singular)
kertoaksemme (first-person plural possessive)
kertoaksesi (possessive second-person singular)
kertoaksenne (plural possessive second-person)
kertoakseen (possessive third-person)
kertoaksensa (possessive third-person)
kertonut (infinitive-i-long past)
kerrottu (infinitive-i-long past)
kertoessa (inessive second-person)
kerrottaessa (inessive second-person)
kertoma (agent)
kertoessani (first-person possessive singular)
kertoessamme (first-person plural possessive)
kertoessasi (possessive second-person singular)
kertoessanne (plural possessive second-person)
kertoessaan (possessive third-person)
kertoessansa (possessive third-person)
kertomaton (inessive negative second-person)
kertoen (instructive second-person)
kertomassa (inessive third-person)
kertomasta (elative third-person)
kertomaan (illative third-person)
kertomalla (adessive third-person)
kertomatta (abessive third-person)
kertoman (instructive third-person)
kerrottaman (instructive third-person)
kertominen (fourth-person noun-from-verb)
kertomaisillani (first-person possessive singular)
kertomaisillamme (first-person plural possessive)
kertomaisillasi (possessive second-person singular)
kertomaisillanne (plural possessive second-person)
kertomaisillaan (possessive third-person)
kertomaisillansa (possessive third-person)

kerta (“time, occasion”) + -oa
* (to tell): Association between telling a story and counting is common across European languages; compare the semantic development of Swedish tala, German erzählen, English recount and Spanish contar.

(transitive, arithmetic) to multiply [with adessive ‘by’]


evenly divisible

From the concept of dividing a group of objects into subgroups of even (that is, the same) size.

15 is evenly divisible by 3 but 16 isn't.

(arithmetic) Leaving no remainder when divided by.


bagi

From Malay bagi, a variant of the standard bahagi, from Proto-Malayic *bahagi (“share, portion, inheritance; to allot, divide property”), from Proto-Malayo-Polynesian *baqagi.

inh

Sepuluh bagi lima sama dengan dua.


bagi

bagi-bagi

to share a lot; to share for many; division

(arithmetic, uncommon) division (the act of dividing number)


binary

en-adj

binary (comparative more binary, superlative most binary)

more binary (comparative)
most binary (superlative)

From Late Latin bīnārius (“consisting of two”), from Latin bīnī (“two-by-two, pair”). By surface analysis, bin- + -ary.

двайко́вы

being in a state of one of two mutually exclusive conditions such as on or off

(arithmetic, computing) Concerning numbers and calculations using the binary number system.


expand

en-verb

expand (third-person singular simple present expands, present participle expanding, simple past and past participle expanded)

expands (present singular third-person)
expanding (participle present)
expanded (participle past)
expanded (past)
expand (infinitive)

contract

antonym(s) of “to change from a smaller form/size to a larger one”

contract

antonym(s) of “to increase the extent, number, volume or scope of”

factor

to rewrite as an equivalent sum of terms

Recorded in Middle English since 1422 (as expanden, expaunden), from Anglo-Norman espaundre, from Latin expandere present active infinitive of expandō (“to spread out”), itself from ex- (“out, outwards”) + pandō (“to spread”). Doublet of spawn.

وَسَّعَ

(transitive) to increase the extent, number, volume or scope of

فَصَّلَ

(transitive) to express at length or in detail

enlarge

Expanding 4#47;7 by 3 gives 12#47;21.

(transitive, arithmetic) To multiply both the numerator and the denominator of a fraction by the same (non-zero) number (which yields a fraction of equal value).

laventaa

(transitive, arithmetic) to multiply the numerator and denominator of a fraction by the same number


plus sign

(arithmetic) The symbol + used to denote the operation of addition, to indicate that a number is positive, and so on.


minus sign

(arithmetic) The symbol −, used to denote the operation of subtraction or to indicate that a number is negative.

نَاقَص

symbol used to denote the operation of subtraction and to indicate that a number is negative


radical

Inherited from Middle English radical, from Latin rādīcālis (“of or pertaining to the root, having roots, radical”).

radicale

ring theory: ideal of elements of a ring sharing a certain given property

(arithmetic) A root (of a number or quantity).

корен

arithmetic: root (of a number or quantity)


hexadecimal

en-noun

hexadecimal (countable and uncountable, plural hexadecimals)

1952. hexadeca- + decimal; see the Wikipedia article for more information.

(arithmetic, computing, uncountable) A number system with base sixteen, using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F, most used in computing as a hexadecimal digit can represent four bits, half a standard byte, and thus a single byte can be represented conveniently with two digits.


decimal

Borrowed from Late Latin, Medieval Latin decimalis, from Latin decimus, from decem (“ten”) + adjective suffix -alis.

(arithmetic, computing) Concerning numbers expressed in decimal or mathematical calculations performed using decimal.

десети́чен

concerning numbers expressed in decimal or calculations using decimal


decimal

ca-adj

decimal m or f (masculine and feminine plural decimals)


decimal

[d̪ɛ.θiˈmɑɫ]

[d̪ɛ.θiˈmɑɫ]


decimal

Borrowed from Late Latin decimālis, from Latin decimus.

(arithmetic, computing) decimal (concerning numbers expressed in decimal or calculations using decimal)


raise

en-verb

raise (third-person singular simple present raises, present participle raising, simple past and past participle raised)

raises (present singular third-person)
raising (participle present)
raised (participle past)
raised (past)

From Middle English reysen, raisen, reisen, from Old Norse reisa (“to raise”), from Proto-Germanic *raisijaną, *raizijaną (“to raise”), causative form of Proto-Germanic *rīsaną (“to rise”), from Proto-Indo-European *h₁rey- (“to rise, arise”). According to Kroonen (2013), from Proto-Indo-European *h₃er- (“to stir, rise”).
Cognate with Old English rāsian (“to explore, examine, research”), Old English rīsan (“to seize, carry off”), Old English rǣran (“to raise”). Doublet of rear.

whakahī

Referring to lifting the pitch of a musical note

hāpai

Of lifting an object to a higher elevation

hī

Refers to raising an eyebrow in scepticism

aradan qaldırmaq

(military) to remove or break up (a blockade); to relinquish (a siege), or cause this to be done

raise oneself up by one's own bootstraps

Two raised to the fifth power equals 32.

(arithmetic) To exponentiate, to involute.


por

From Old Galician-Portuguese por, from Late Latin pōr, from Latin prō (“for”) (with metathetic shift under the influence of per). Usurped the roles of Latin per.

Vinte por quatro é cinco.

(arithmetic) by (indicates a mathematical division)


position

From Middle English posicioun, from Old French posicion, from Latin positio (“a putting, position”), from ponere, past participle positus (“to put, place”); see ponent. Compare apposition, composition, deposition; see pose.

positio

finance: amount of financial instruments held by someone

emergency position indicating radio beacon

emergency position indicating radio-beacon

emergency position indicating radiobeacon

(arithmetic) A method of solving a problem by one or two suppositions; also called the rule of trial and error.

yritys ja erehdys

arithmetic: method of solving a problem by one or two suppositions


quotient

Dividing 12 by 4 yields a quotient of 3.

(arithmetic) The number (either a fraction or an integer) resulting from the division of one number by another.


Use as a multiplication sign is usually attributed to English mathematician William Oughtred.

7 × 8 = 56


dividere

head

dividere (imperative divider, infinitive at dividere, present tense dividerer, past tense dividerede, perfect tense har divideret)

divider (imperative)
at dividere (infinitive)
dividerer (present)
dividerede (past)
har divideret (perfect)
dividerer (present)
dividerede (past)
har divideret (perfect present)
havde divideret (past perfect)
divideres (passive present)
divideredes (passive past)
dividerende (participle present)
divideret (participle past)
divider (imperative present)
dividere (infinitive present)
have (auxiliary present)
divideren (gerund present)


dividere

dividere (imperative divider, present tense dividerer, simple past dividerte, past participle dividert, present participle dividerende)

divider (imperative)
dividerer (present)
dividerte (past)
dividert (participle past)
dividerende (participle present)


divide

en-verb

divide (third-person singular simple present divides, present participle dividing, simple past and past participle divided)

divides (present singular third-person)
dividing (participle present)
divided (participle past)
divided (past)

PIE word
 *dwóh₁
From Middle English dividen, from Latin dīvidere (“to divide”). Displaced native Old English tōdǣlan.

dividend

the sum being divided, the upper term in a fraction

divisor

the number of parts in a division, the lower term in a fraction

If you divide 6 by 3, you get 2.

(transitive, arithmetic, with by) To calculate the number (the quotient) by which you must multiply one given number (the divisor) to produce a second given number (the dividend).

3 divides 6.

(transitive, arithmetic) To be a divisor of.


적

the hanja entry at 積 for Sino-Korean compounds of 적


augend

In "4 + 5", 4 is the augend

(arithmetic) A quantity to which another is added.


soma

From Old Galician-Portuguese soma, from Latin summa.

(arithmetic) sum (quantity obtained by addition or aggregation)


extract

extract (third-person singular simple present extracts, present participle extracting, simple past extracted, past participle extracted or (archaic) extraught)

extracts (present singular third-person)
extracting (participle present)
extracted (past)
extracted (participle past)
extraught (archaic participle past)

Borrowed from Latin extractum, neuter perfect passive participle of extrahō, from ex- (“out of”) + trahō (“I drag”).

Please extract the cube root of 27.

[…] Mr. Nackybal was thoroughly examined, both in cubing and extracting, from the table that Louit had provided.

(transitive, arithmetic) To determine (a root of a number).


decimal point

(arithmetic, proscribed) A decimal place.


reciprocal

From Latin reciprocus, possibly from a phrase such as reque proque (“back and forth, to and fro”), from re- (“back”), prō (“forwards”) and -que (“and”).

0.5 is the reciprocal of 2.

(arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.


乗法

ja-noun

乗(じょう)法(ほう) • (jōhō) ^(←じょうはふ (zyoufafu)?)

乗法 (canonical)
jōhō (romanization)
zyoufafu (romanization)
じょうはふ (hiragana historical)

[d͡ʑo̞ːho̞ː]

最小自乗法

最小自乗法 さいしょうじじょうほう

最小二乗法

最小二乗法 さいしょうじじょうほう


radice

→ Middle French: radice

French: radis
→ Wolof: radi

→ Middle Low German: radies

→ Danish: radise

→ Faroese: radisa

→ Icelandic: radísa

→ Swedish: rädisa

desctree

→ Dutch: radijs
Afrikaans: radijs
Negerhollands: radies
→ German: Radies
⇒ German: Radieschen (diminutive)
→ Papiamentu: radijs (dated)

→? Russian: редис (redis) ⇒ редиска (rediska)

→ Belarusian: радыска (radyska)

→ Ukrainian: редис (redys)

From Latin rādīcem, from Proto-Italic *wrādīks, from Proto-Indo-European *wréh₂ds.

mathematical analysis
mathematical analysis

(botany, anatomy, arithmetic, mathematical analysis, computing, linguistics) root


indivisible

divisible

antonym(s) of “incapable of being divided, arithmetic”

incombinable

antonym(s) of “incapable of being combined”

PIE word
 *dwóh₁
From Middle French indivisible, from Late Latin indivisibilis.

(arithmetic) Incapable of being divided by a specific integer without leaving a remainder.

jaoton

incapable of being divided by a specific integer


working

en-noun

working (countable and uncountable, plural workings)

From Middle English werking, werkynge, warkynge, worchinge, from Old English wyrċing (“working”), verbal noun of wyrċan (“to work”), equivalent to work + -ing. Cognate with Scots wirking, warking, Dutch werking, German Wirkung.

Be sure to check your working.

(arithmetic) The incidental or subsidiary calculations performed in solving an overall problem.


ratio

→ Portuguese: rácio

/ˈɹeɪ.ʃi.əʊ/

/ˈɹeɪ.ʃiˌoʊ/

Borrowed from Latin ratiō. Doublet of ration and reason.

(arithmetic) The relative magnitudes of two quantities (usually expressed as a quotient).

отношение

arithmetics: relative magnitude of two quantities expressed as quotient


plus

Twee plus twee is vier.


biner

From Dutch binair (“binary”), from French binaire, from Latin bīnārius.

(arithmetic, computing) concerning numbers and calculations using the binary number system.


times

en-verb

times (third-person singular simple present timeses, present participle timesing, simple past and past participle timesed)

timeses (present singular third-person)
timesing (participle present)
timesed (participle past)
timesed (past)

I've taken the calories and the amount of food . . . and it's 410 calories per portion timesed by 6 portions which ^([sic]) the answer was 2460 calories...

1994, Harvey Mellar, Learning with artificial worlds: computer-based modelling in the curriculum:

A student as junior as Year 4 informed me that he made a forward estimate of cheeses in 100 trials by 'timesing both numbers by 10' […]

1995, Mathematical Association, The Australian mathematics teacher, Volumes 51-53:

Alex: Yeah - if you're timesing that distance there by this height, it will disappear.

1998, Psychology of mathematics education, Volume 2:

[…] when the denominator was timesed by three, the same had to be done to the numerator; and so on.

1998, W. M. Roth, Designing Communities, Kluwer Academic Publishers, page 31:


summa

is-noun

summa f (genitive singular summu, nominative plural summur)

summu (genitive singular)
summur (nominative plural)
summa (indefinite nominative singular)
summan (definite nominative singular)
summur (indefinite nominative plural)
summurnar (definite nominative plural)
summu (accusative indefinite singular)
summuna (accusative definite singular)
summur (accusative indefinite plural)
summurnar (accusative definite plural)
summu (dative indefinite singular)
summunni (dative definite singular)
summum (dative indefinite plural)
summunum (dative definite plural)
summu (genitive indefinite singular)
summunnar (definite genitive singular)
summa (genitive indefinite plural)
summanna (definite genitive plural)

Borrowed from Latin summa (“sum, summary, total”).

bor+

(arithmetic) a sum; (a quantity obtained by addition or aggregation)


summa

summa (nominative singular)
summat (nominative plural)
summan (genitive singular)
summiin (genitive plural)
summaa (partitive singular)
summia (partitive plural)
summaa (illative singular)
summii (illative plural)
summaas (inessive singular)
summiis (inessive plural)
summast (elative singular)
summist (elative plural)
summalle (allative singular)
summille (allative plural)
summaal (adessive singular)
summiil (adessive plural)
summalt (ablative singular)
summilt (ablative plural)
summaks (singular translative)
summiks (plural translative)
summanna (essive singular)
summaan (essive singular)
summinna (essive plural)
summiin (essive plural)
summant (exessive singular)
summint (exessive plural)

Cislaa 132 kutsutaa summaks, a cisloja 38, 36, 32 ja 26 — lisättäviks.

1937, N. S. Popova, translated by Mihailov and D. I. Efimov, Arifmetiikan oppikirja alkușkouluja vart (kolmas osa), Leningrad: Ucebno-Pedagogiceskoi Izdateljstva, page 8:

The number 132 is called the sum, and the numbers 38, 36, 32 and 26 are called the summands.

(arithmetic) sum (result of an addition)


arithmetic

/æɹɪθˈmɛtɪk/

From French arithmétique, from Latin arithmēticus, from Ancient Greek ἀριθμητῐκός (arithmētĭkós).

der

List of terms used in arithmetic in English

arithmetic progression

(arithmetic) Of a progression, mean, etc, computed solely using addition.


multiply

en-verb

multiply (third-person singular simple present multiplies, present participle multiplying, simple past and past participle multiplied)

multiplies (present singular third-person)
multiplying (participle present)
multiplied (participle past)
multiplied (past)

From Old French multiplier, from Latin multiplicō, from multi (“many”) + plicō (“I fold”).
The noun presumably derives from the verb.

when you multiply 3 by 7, you get 21; he multiplied several numbers

(transitive, arithmetic, with by) To perform multiplication on (a number).

shumëzoj

transitive: perform multiplication on (a number)

He had been multiplying, but it occurred to him he needed to resolve the exponents, first.

(intransitive, arithmetic) To perform multiplication.


vigesimal

From Latin vīcēsimus (“twentieth”) (from *vīcēnssos, from Proto-Indo-European *wi(h₁)ḱm̥ttós, with the -imus ending of decimus (“tenth”)) + -al (suffix forming an adjective). Compare Latin vīgintī (“twenty”), from Proto-Indo-European *h₁wih₁ḱm̥ti, from *dwi(h₁)dḱm̥ti(h₁), *dwi(h₁)dḱm̥ti (“two tens; two decades”).

To go on by hands and feet to 20, and thence to reckon by twenties, is a vigesimal notation. Now though in the larger proportion of known languages, no distinct mention of fingers and toes, hands and feet, is observable in the numerals themselves, yet the very schemes of quinary, decimal and vigesimal notation remain to vouch for such hand-and-foot counting having been the original method on which they were founded.

1871, Edward B[urnett] Tylor, “The Art of Counting”, in Primitive Culture: Researches into the Development of Mythology, Philosophy, Religion, Art, and Custom. … In Two Volumes, volume I, London: John Murray, Albemarle Street, →OCLC, page 236:

The most remarkable vigesimal scale of numeration is that of the Mexicans. The decimal scale is adopted as far as twenty; that is to say, after ten the primitive digits are repeated, but from twenty onwards the numbers are taken by twenties. Thus 34 is canlahhutukal, literally fourteen and twenty.

1875, James A[llanson] Picton, “On the Origin and History of the Numerals”, in Proceedings of the Literary and Philosophical Society of Liverpool, volume XXIX, London: Longmans, Green, Reader, & Dyer; Liverpool: D. Marples & Co. Limited, Lord Street, →OCLC, page 87:

With regard to the Danish numeral-words founded on the vigesimal system of numeration, it must be admitted that here the explanation fails which has been given for the divergence of the forms representing 70, 80 and 90 from the forms representing the lower numerals of 10 in the case of some other languages, since in the present case the forms for 50 and 60 also depart from the decimal system; […]

1923, Melius de Villiers, “Aryan Numeral-words”, in The Numeral-words: Their Origin, Meaning, History and Lesson, London: H. F. & G. Witherby, 326 High Holborn, London, W.C.; Cape Town; Johannesburg; Port Elizabeth: Juta & Co., →OCLC, page 93:

[I]t is not known whether they [the Maya] progressed beyond a "vigesimal point" to negative powers of 20, i.e. to vigesimal fractions.

1970, Petr Beckmann, “The Belt”, in A History of π (Pi), Boulder, Colo.: The Golem Press, →ISBN; republished New York, N.Y.: St. Martin's Press, 1971, →ISBN, page 34:


restar

ca-verb

restar (first-person singular present resto, first-person singular preterite restí, past participle restat); root stress: (Central, Valencia, Balearic) /e/

restar (canonical)
root stress: (canonical)
e (canonical)
resto (first-person present singular)
restí (first-person preterite singular)
restat (participle past)
restar (infinitive)
restant (gerund)
restat (masculine participle past singular)
restada (feminine participle past singular)
restats (masculine participle past plural)
restades (feminine participle past plural)
resto (first-person indicative present singular)
restes (indicative present second-person singular)
resta (indicative present singular third-person)
restem (first-person indicative plural present)
resteu (indicative plural present second-person)
resten (indicative plural present third-person)
restava (first-person imperfect indicative singular)
restaves (imperfect indicative second-person singular)
restava (imperfect indicative singular third-person)
restàvem (first-person imperfect indicative plural)
restàveu (imperfect indicative plural second-person)
restaven (imperfect indicative plural third-person)
restaré (first-person future indicative singular)
restaràs (future indicative second-person singular)
restarà (future indicative singular third-person)
restarem (first-person future indicative plural)
restareu (future indicative plural second-person)
restaran (future indicative plural third-person)
restí (first-person indicative preterite singular)
restares (indicative preterite second-person singular)
restà (indicative preterite singular third-person)
restàrem (first-person indicative plural preterite)
restàreu (indicative plural preterite second-person)
restaren (indicative plural preterite third-person)
restaria (conditional first-person indicative singular)
restaries (conditional indicative second-person singular)
restaria (conditional indicative singular third-person)
restaríem (conditional first-person indicative plural)
restaríeu (conditional indicative plural second-person)
restarien (conditional indicative plural third-person)
resti (first-person present singular subjunctive)
restis (present second-person singular subjunctive)
resti (present singular subjunctive third-person)
restem (first-person plural present subjunctive)
resteu (plural present second-person subjunctive)
restin (plural present subjunctive third-person)
restés (first-person imperfect singular subjunctive)
restessis (imperfect second-person singular subjunctive)
restés (imperfect singular subjunctive third-person)
restéssim (first-person imperfect plural subjunctive)
restéssiu (imperfect plural second-person subjunctive)
restessin (imperfect plural subjunctive third-person)
resta (imperative second-person)
resti (formal imperative second-person-semantically singular)
restem (first-person imperative plural)
resteu (imperative plural second-person)
restin (formal imperative plural second-person-semantically)
no restis (imperative negative second-person)
no resti (formal imperative negative second-person-semantically singular)
no restem (first-person imperative negative plural)
no resteu (imperative negative plural second-person)
no restin (formal imperative negative plural second-person-semantically)


mais

From Old Galician-Portuguese mais, from Latin magis (“more”). Doublet of mas. Displaced collateral form chus.

(arithmetic) plus (sum of the previous one and the following one)


successor

predecessor

person or thing that immediately follows another

From Anglo-Norman successour, from Latin successor.

A limit ordinal is not the successor of any ordinal.

(arithmetic, set theory) The integer, ordinal number or cardinal number immediately following another.

seuraaja

integer or cardinal immediately following another


resto

Deverbal from restar (“to be left”), from Latin restāre, from re- + stō.

O resto de onze dividido por três é dois.

The remainder of eleven divided by three is two.

(arithmetic) remainder (amount left over after subtracting the divisor as many times as possible from the dividend)


denominator

From Late Latin dēnōminātor (“that which names”).

bor

(arithmetic) The number or expression written below the line in a fraction (such as 2 in ½).


numerator

/ˈnuː.məɹˌeɪ̯.təɹ/

(arithmetic) The number or expression written above the line in a fraction (such as 1 in ½).


teller

telleren (definite singular)
tellere (indefinite plural)
tellerne (definite plural)

(arithmetic) numerator (the number or expression written above the line in a fraction)


round down

en-verb

round down (third-person singular simple present rounds down, present participle rounding down, simple past and past participle rounded down)

rounds down (present singular third-person)
rounding down (participle present)
rounded down (participle past)
rounded down (past)

The total is $25,715, but to keep the figures simple, I'll round it down to $25,000.

(transitive, arithmetic) To round (a number) to the greatest integer that is not greater than it, or to some other lower value, especially a whole number of hundreds, thousands, etc.

向下取整

to round downwards to the desired accuracy


round up

round up (third-person singular simple present rounds up, present participle rounding up, simple past and past participle rounded up)

rounds up (present singular third-person)
rounding up (participle present)
rounded up (participle past)
rounded up (past)

koota

to collect or gather (something) together

The total is $24,995 — let's round it up to $25,000.

(transitive, arithmetic) To round (a number) to the smallest integer that is not less than it, or to some other greater value, especially a whole number of hundreds, thousands, etc.


abakus

From Dutch abacus, from Latin abacus, abax; from Ancient Greek ἄβαξ (ábax, “board covered with sand”), possibly from a Semitic source; compare Hebrew אָבָק (avák, “dust”).

der

(Brunei, Malaysia, Singapore)


abakus

abakus (nominative singular)
abakusy (nominative plural)
abakusa (genitive singular)
abakusów (genitive plural)
abakusowi (dative singular)
abakusom (dative plural)
abakus (accusative singular)
abakusy (accusative plural)
abakusem (instrumental singular)
abakusami (instrumental plural)
abakusie (locative singular)
abakusach (locative plural)
abakusie (singular vocative)
abakusy (plural vocative)

Learned borrowing from Latin abacus. Doublet of abak.

(arithmetic) abacus (device used for performing arithmetical calculations; a table on which loose counters are placed, or (more commonly) an instrument with beads sliding on rods, or counters in grooves, with one row of beads or counters representing units, the next tens, etc.)


tetration

en-noun

tetration (usually uncountable, plural tetrations)

/tɛˈtɹeɪʃn̩/

/tɛˈtɹeɪʃən/

PIE word
 *kʷetwóres
From tetra- (prefix meaning ‘four’) + (itera)tion, from the fact that tetration is in fourth place after addition, multiplication, and exponentiation. The word was coined by the English mathematician Reuben Goodstein (1912–1985).

coinage

You don't ordinarily hear much about tetration because it is so powerful an operation that tetrating even very small numbers with each other produces inordinately large numbers. A tetration is worked out below.
⁴²#61;2#123;(2#123;(#123;2²#125;)#125;)#125;
 #61;2#123;(#123;2⁴#125;)#125;
 #61;2#123;16#125;
 #61;64,536

1982 May, Rudy Rucker, “All the Numbers”, in Infinity and the Mind: The Science and Philosophy of the Infinite, Boston, Mass.; Stuttgart, Baden-Württemberg: Birkhäuser, →ISBN, page 69:

Repeated exponentiation—called tetration—is so rare that a shorthand for it is hardly worth the trouble, appealing only to research mathematicians. Most professional engineers and scientists never encounter tetration, and the shorthand for it is seldom taught anywhere but in mathematics departments. But it doesn't stop there, and for the almost-unheard-of "multiple tetration" there is yet a stronger cousin operation, waiting in the wings.

1993, Alexander Humez, Nicholas Humez, Joseph Maguire, “One”, in Zero to Lazy Eight: The Romance of Numbers, New York, N.Y.: Touchstone, Simon & Schuster, →ISBN, page 39:

Tetration is usually symbolized with a number drawn to the upper left of another number, as opposed to the upper right used for exponents. Let's look at an example: what is 2 tetrated to the 4th? We would draw this as a 2 with a little 4 to the upper left side: ⁴². This is equivalent to 2#123;2#123;2²

2016, Erik Seligman, “Simple Surprises”, in Math Mutation Classics: Exploring Interesting, Fun and Weird Corners of Mathematics, New York, N.Y.: Apress, Springer Science+Business Media, →DOI, →ISBN, page 11:

(arithmetic) The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇᵃ denoting a to the power of a to the power of … to the power of a, in which a appears b times.


subtract

en-verb

subtract (third-person singular simple present subtracts, present participle subtracting, simple past and past participle subtracted)

subtracts (present singular third-person)
subtracting (participle present)
subtracted (participle past)
subtracted (past)

Borrowed from Latin subtractus, perfect passive participle of subtrahō (“I draw from beneath; withdraw, remove”); from sub (“under”) + trahō (“I draw, pull, drag”).

If you subtract the $100 for gas from the total cost, it was a fairly inexpensive trip.

(transitive, arithmetic) To remove or reduce; especially to reduce a quantity or number


viens

viens (masculine nominative singular)
vieni (masculine nominative plural)
viena (feminine nominative singular)
vienas (feminine nominative plural)
vienu (accusative masculine singular)
vienus (accusative masculine plural)
vienu (accusative feminine singular)
vienas (accusative feminine plural)
viena (genitive masculine singular)
vienu (genitive masculine plural)
vienas (feminine genitive singular)
vienu (feminine genitive plural)
vienam (dative masculine singular)
vieniem (dative masculine plural)
vienai (dative feminine singular)
vienām (dative feminine plural)
vienu (instrumental masculine singular)
vieniem (instrumental masculine plural)
vienu (feminine instrumental singular)
vienām (feminine instrumental plural)
vienā (locative masculine singular)
vienos (locative masculine plural)
vienā (feminine locative singular)
vienās (feminine locative plural)

From Proto-Baltic *eynos (with ey > ie metathesis; note that some 17th-century Kurzeme and Zemgale dialects still had some forms with ey), from a Proto-Indo-European *éyno-, *éynos, from *éy, *óy (“he, it”) (non-Baltic cognates derive from o-grade *óy; compare Proto-Indo-European *h₁óynos (“one”)) with a suffix *-nos, which originally had an adjectival meaning. The Eastern Baltic cognates (unlike Old Prussian) have an initial v, which suggests an intermediate Eastern Baltic form *weynos. This initial *w may result from sporadic word-initial consonant-joining phenomena, or from a possible particle *w-, *we-.
Cognates of viens include Lithuanian víenas, Old Prussian ains, Gothic 𐌰𐌹𐌽𐍃 (ains), German eins, English one, Old Irish oín, Ancient Greek οἰνός (oinós, “one (when throwing dice)”), Latin ūnus (< *oinos). From the form *eynos comes also Proto-Slavic *inъ, *edinъ, *edьnъ (“one”) (Old Church Slavonic ѥдинъ (jedinŭ), ѥдьнъ (jedĭnŭ), Ukrainian, Russian оди́н (odín), Belarusian адзі́н (adzín), Bulgarian еди́н (edín), Czech, Slovak, Polish jeden.

cog

saskaitīt vienus ar vieniem, desmitus ar desmitiem

to add the ones with the ones, the tens with the tens

(arithmetic, used as a noun) one, unit (the digit in the last position in a number)


כפל

Root
 כ־פ־ל (k-p-l)
From the root כ־פ־ל (k-p-l).


reverse Polish notation

Back in my day, we had reverse Polish notation calculators: You had to write "2 4 3 * +" instead of "2 + 4 * 3".

(arithmetic) An arithmetic notation in which numbers precede the operators to be applied to them.


Addition

de-noun

Addition f (genitive Addition, plural Additionen)

Addition (genitive)
Additionen (plural)
Addition (nominative singular)
Additionen (definite nominative plural)
Addition (genitive singular)
Additionen (definite genitive plural)
Addition (dative singular)
Additionen (dative definite plural)
Addition (accusative singular)
Additionen (accusative definite plural)


tafel

nl-noun

tafel f (plural tafels or tafelen, diminutive tafeltje n)

tafels (plural)
tafelen (plural)
tafeltje (diminutive neuter)

Afrikaans: tafel (see there for further descendants)

Berbice Creole Dutch: tafl

Jersey Dutch: tâfel

desc

Negerhollands: tafel, tavul, tawul, taul, taful, tavl, taefel

→ Virgin Islands Creole: tavul (dated)

Skepi Creole Dutch: tafl

→ Aukan: tafaa

→ Saramaccan: táfu

→ Sranan Tongo: tafra

→ Lokono: tafolo

→ Caribbean Hindustani: tafrá

→ Caribbean Javanese: tafrah, taprah

→ Kari'na: tapara

→ Trió: tafra

From Middle Dutch tâfele, from Old Dutch tavala, from Latin tabula (“board”). Doublet of tabel.

multiplication table
multiplication table


dividend

From Middle French dividende, from Latin dividendum (“thing to be divided”), future passive participle of divido (“to divide”), by surface analysis, divide + -end.

uder

In "42 ÷ 3" the dividend is the 42.

(arithmetic) A number or expression that is to be divided by another.


dividend

dividend (indefinite nominative singular)
dividends (genitive indefinite singular)
dividenden (definite nominative singular)
dividendens (definite genitive singular)
dividender (indefinite nominative plural)
dividenders (genitive indefinite plural)
dividenderna (definite nominative plural)
dividendernas (definite genitive plural)


divisor

divisor

integer that divides another integer an integral number of times

In "42 ÷ 3" the divisor is the 3.

(arithmetic) In an expression involving division, the number by which another number is being divided.


divisor

(arithmetic) divisor (number that another is to be divided by)


number system

(arithmetic) A set of numerals for representing numbers.


divisibility

en-noun

divisibility (countable and uncountable, plural divisibilities)

combinability（state capable of being combined）

mergeability（state capable of being merged）

indivisibility（state incapable of being divided）

LL-Q1860 (eng)-Flame, not lame-divisibility.wav

قَابِلِيَّةُ الْقِسْمَةِ

or, equivalently الْقَابِلِيَّةُ لِلْقِسْمَةِ f (al-qābiliyyatu lilqismati)

(arithmetic) The property of being divisible by a particular integer.


duodecimal

6B4 is the duodecimal notation for the decimal number 1000.

(arithmetic) Of a number, expressed in base twelve.

дванадесетичен

expressed in a base-twelve number system


duodecimal

(arithmetic) A number system that uses twelve as its base.


duodecimal

ca-adj

duodecimal m or f (masculine and feminine plural duodecimals)


duodecimal

(arithmetic, computing) duodecimal (concerning numbers expressed in duodecimal or calculations using duodecimal)


octal

en-noun

octal (countable and uncountable, plural octals)

(arithmetic, computing, uncountable) The number system that uses the eight digits 0, 1, 2, 3, 4, 5, 6, 7.

(arithmetic, computing, countable) A digit or value in the octal number system.


octal

(arithmetic, computing) Concerning numbers expressed in octal or mathematical calculations performed using octal.

八進制 /八进制

concerning numbers expressed in octal or mathematics calculations performed using octal


divisible

combinable

antonym(s) of “capable of being divided”

[dɪˈvɪzɪbəɫ]

PIE word
 *dwóh₁
From Middle English divisible, from Old French, from Late Latin divisibilis, from the verb Latin divido.

12 is divisible by 3.

(arithmetic) Of an integer, that, when divided by another integer, leaves no remainder.

делим

of an integer, that when divided leaves no remainder


divisible

ca-adj

divisible m or f (masculine and feminine plural divisibles)

(arithmetic) divisible (of an integer, that when divided leaves no remainder)


sabiranje

sh-noun

sabiranje n (Cyrillic spelling сабирање)

(arithmetic) addition; the process of adding


multiplicand

In the expression 5 × 3, the "3" is the multiplicand.

(arithmetic) A number that is to be multiplied by another (the multiplier).


multiplication table

en-noun

multiplication table (plural multiplication tables)

LL-Q1860 (eng)-Flame, not lame-multiplication table.wav

It was not till animated by some discussion, based upon the multiplication-table, that you saw how keen and shrewd those large, dull, gray eyes could become.

1837, L[etitia] E[lizabeth] L[andon], “Alteration”, in Ethel Churchill: Or, The Two Brides. […], volume II, London: Henry Colburn, […], →OCLC, page 21:

I’ll try if I know all the things I used to know. Let me see: four times five is twelve, and four times six is thirteen, and four times seven is—oh dear! I shall never get to twenty at that rate! However, the Multiplication Table doesn’t signify: let’s try Geography.

1865 November (indicated as 1866), Lewis Carroll [pseudonym; Charles Lutwidge Dodgson], “The Pool of Tears”, in Alice’s Adventures in Wonderland, London: Macmillan and Co., →OCLC, pages 19–20:

(arithmetic) A table showing the products of each of the integers from 1 to 10 (or, especially formerly, 12) with each of the integers from 1 to 10 (or 12).


multiplier

In the expression 5 × 7, the "5" is a multiplier.

The score multiplier increases each time you complete a level of the video game.

(arithmetic) A number by which another (the multiplicand) is to be multiplied.


квадрат

Borrowed from Russian квадрат (kvadrat).

квадракка таһаар


suku

From Malay suku, ultimately from Proto-Malayo-Polynesian *suku (“one quarter; designation for a division of society, probably a lineage”).
* The sense “clan” is a semantic loan from Minangkabau suku.
* The sense “footer” is a semantic loan from English footer.
* Displaced Dutch term (“term”) by Komisi Bahasa Indonesia as published on Kanpō/Berita Pemerintah No.38 Year III Month 3 (2604) in 1944.


machen

de-verb

machen (weak, third-person singular present macht, past tense machte, past participle gemacht, auxiliary haben)

macht (present singular third-person)
machte (past)
gemacht (participle past)
haben (auxiliary)
haben (auxiliary)
machen (infinitive)
machend (participle present)
gemacht (participle past)
mache (first-person indicative present singular)
machen (first-person indicative plural present)
mache (first-person singular subjunctive subjunctive-i)
machen (first-person plural subjunctive subjunctive-i)
machst (indicative present second-person singular)
macht (indicative plural present second-person)
machest (second-person singular subjunctive subjunctive-i)
machet (plural second-person subjunctive subjunctive-i)
macht (indicative present singular third-person)
machen (indicative plural present third-person)
mache (singular subjunctive subjunctive-i third-person)
machen (plural subjunctive subjunctive-i third-person)
machte (first-person indicative preterite singular)
machten (first-person indicative plural preterite)
machte (first-person formal rare singular subjunctive subjunctive-ii)
machten (first-person formal plural rare subjunctive subjunctive-ii)
machtest (indicative preterite second-person singular)
machtet (indicative plural preterite second-person)
machtest (formal rare second-person singular subjunctive subjunctive-ii)
machtet (formal plural rare second-person subjunctive subjunctive-ii)
machte (indicative preterite singular third-person)
machten (indicative plural preterite third-person)
machte (formal rare singular subjunctive subjunctive-ii third-person)
machten (formal plural rare subjunctive subjunctive-ii third-person)
mach (imperative second-person singular)
mache (imperative second-person singular)
macht (imperative plural second-person)
haben (auxiliary)
habe gemacht (first-person indicative multiword-construction perfect singular)
haben gemacht (first-person indicative multiword-construction perfect plural)
habe gemacht (first-person multiword-construction perfect singular subjunctive)
haben gemacht (first-person multiword-construction perfect plural subjunctive)
hast gemacht (indicative multiword-construction perfect second-person singular)
habt gemacht (indicative multiword-construction perfect plural second-person)
habest gemacht (multiword-construction perfect second-person singular subjunctive)
habet gemacht (multiword-construction perfect plural second-person subjunctive)
hat gemacht (indicative multiword-construction perfect singular third-person)
haben gemacht (indicative multiword-construction perfect plural third-person)
habe gemacht (multiword-construction perfect singular subjunctive third-person)
haben gemacht (multiword-construction perfect plural subjunctive third-person)
hatte gemacht (first-person indicative multiword-construction pluperfect singular)
hatten gemacht (first-person indicative multiword-construction pluperfect plural)
hätte gemacht (first-person multiword-construction pluperfect singular subjunctive)
hätten gemacht (first-person multiword-construction pluperfect plural subjunctive)
hattest gemacht (indicative multiword-construction pluperfect second-person singular)
hattet gemacht (indicative multiword-construction pluperfect plural second-person)
hättest gemacht (multiword-construction pluperfect second-person singular subjunctive)
hättet gemacht (multiword-construction pluperfect plural second-person subjunctive)
hatte gemacht (indicative multiword-construction pluperfect singular third-person)
hatten gemacht (indicative multiword-construction pluperfect plural third-person)
hätte gemacht (multiword-construction pluperfect singular subjunctive third-person)
hätten gemacht (multiword-construction pluperfect plural subjunctive third-person)
machen werden (future future-i infinitive multiword-construction)
werde machen (first-person future future-i multiword-construction singular subjunctive subjunctive-i)
werden machen (first-person future future-i multiword-construction plural subjunctive subjunctive-i)
werdest machen (future future-i multiword-construction second-person singular subjunctive subjunctive-i)
werdet machen (future future-i multiword-construction plural second-person subjunctive subjunctive-i)
werde machen (future future-i multiword-construction singular subjunctive subjunctive-i third-person)
werden machen (future future-i multiword-construction plural subjunctive subjunctive-i third-person)
werde machen (first-person future future-i indicative multiword-construction singular)
werden machen (first-person future future-i indicative multiword-construction plural)
würde machen (first-person future future-i multiword-construction singular subjunctive subjunctive-ii)
würden machen (first-person future future-i multiword-construction plural subjunctive subjunctive-ii)
wirst machen (future future-i indicative multiword-construction second-person singular)
werdet machen (future future-i indicative multiword-construction plural second-person)
würdest machen (future future-i multiword-construction second-person singular subjunctive subjunctive-ii)
würdet machen (future future-i multiword-construction plural second-person subjunctive subjunctive-ii)
wird machen (future future-i indicative multiword-construction singular third-person)
werden machen (future future-i indicative multiword-construction plural third-person)
würde machen (future future-i multiword-construction singular subjunctive subjunctive-ii third-person)
würden machen (future future-i multiword-construction plural subjunctive subjunctive-ii third-person)
gemacht haben werden (future future-ii infinitive multiword-construction)
werde gemacht haben (first-person future future-ii multiword-construction singular subjunctive subjunctive-i)
werden gemacht haben (first-person future future-ii multiword-construction plural subjunctive subjunctive-i)
werdest gemacht haben (future future-ii multiword-construction second-person singular subjunctive subjunctive-i)
werdet gemacht haben (future future-ii multiword-construction plural second-person subjunctive subjunctive-i)
werde gemacht haben (future future-ii multiword-construction singular subjunctive subjunctive-i third-person)
werden gemacht haben (future future-ii multiword-construction plural subjunctive subjunctive-i third-person)
werde gemacht haben (first-person future future-ii indicative multiword-construction singular)
werden gemacht haben (first-person future future-ii indicative multiword-construction plural)
würde gemacht haben (first-person future future-ii multiword-construction singular subjunctive subjunctive-ii)
würden gemacht haben (first-person future future-ii multiword-construction plural subjunctive subjunctive-ii)
wirst gemacht haben (future future-ii indicative multiword-construction second-person singular)
werdet gemacht haben (future future-ii indicative multiword-construction plural second-person)
würdest gemacht haben (future future-ii multiword-construction second-person singular subjunctive subjunctive-ii)
würdet gemacht haben (future future-ii multiword-construction plural second-person subjunctive subjunctive-ii)
wird gemacht haben (future future-ii indicative multiword-construction singular third-person)
werden gemacht haben (future future-ii indicative multiword-construction plural third-person)
würde gemacht haben (future future-ii multiword-construction singular subjunctive subjunctive-ii third-person)
würden gemacht haben (future future-ii multiword-construction plural subjunctive subjunctive-ii third-person)

Inherited from Middle High German machen, from Old High German mahhōn, from Proto-West Germanic *makōn, from Proto-Indo-European *mag- (“to knead, mix, make”). Cognate with English make.

der

Sieben plus fünf macht zwölf.

(transitive, arithmetic) to make, to be (the result of a calculation)


minuend

From Latin minuendus (“something to be diminished”), gerundive of minuō (“decrease, diminish”), by surface analysis, minus + -end.

In the subtraction 10 − 4, 10 is the minuend and 4 is the subtrahend.

(arithmetic) A number or quantity from which another is to be subtracted.


minuend

(arithmetic) minuend (number from which another number is subtracted)


subtrahend

1670s, from Latin subtrahendus numerus (“number to be subtracted”), form of subtrahō (“I pull out from under, I subtract”) (English subtract).
By surface analysis, subtract + -end (“patient (recipient) of action”).

surf

In the subtraction 10 − 4, 4 is the subtrahend.

(arithmetic) A number or quantity to be subtracted from another.


subtrahend

(arithmetic) subtrahend (a number to be subtracted from another)


logarytm

logarytm (nominative singular)
logarytmy (nominative plural)
logarytmu (genitive singular)
logarytmów (genitive plural)
logarytmowi (dative singular)
logarytmom (dative plural)
logarytm (accusative singular)
logarytmy (accusative plural)
logarytmem (instrumental singular)
logarytmami (instrumental plural)
logarytmie (locative singular)
logarytmach (locative plural)
logarytmie (singular vocative)
logarytmy (plural vocative)

Internationalism; compare English logarithm, French logarithme, German Logarithmus, ultimately from New Latin logarithmus, from Ancient Greek λόγος (lógos) + ἀριθμός (arithmós).


reikningur

is-noun

reikningur m (genitive singular reiknings, nominative plural reikningar)

reiknings (genitive singular)
reikningar (nominative plural)
reikningur (indefinite nominative singular)
reikningurinn (definite nominative singular)
reikningar (indefinite nominative plural)
reikningarnir (definite nominative plural)
reikning (accusative indefinite singular)
reikninginn (accusative definite singular)
reikninga (accusative indefinite plural)
reikningana (accusative definite plural)
reikningi (dative indefinite singular)
reikningnum (dative definite singular)
reikningum (dative indefinite plural)
reikningunum (dative definite plural)
reiknings (genitive indefinite singular)
reikningsins (definite genitive singular)
reikninga (genitive indefinite plural)
reikninganna (definite genitive plural)

reikna (“to calculate”) + -ingur (“nominal suffix”). Exact cognate with English reckoning.

af

(mathematics, arithmetic) mathematics, arithmetic


fois

Inherited from Middle French foys, from Old French foiz, from earlier feiz, from Latin vicem. The reason for the development of an initial /f/, instead of the expected /v/, is not entirely clear. It may be the result of voicing assimilation to the final consonants of numerals such as deus (“two”) or set (“seven”), which would have often preceded the word. Cognate with Portuguese and Spanish vez.


ganga

gangar (present)
ganga (past)
ganga (participle past)
gangast (infinitive passive)
gangande (participle present)
ganga (imperative)
gang (imperative)


minne

minne (indefinite nominative singular)
minnes (genitive indefinite singular)
minnet (definite nominative singular)
minnets (definite genitive singular)
minnen (indefinite nominative plural)
minnens (genitive indefinite plural)
minnena (definite nominative plural)
minnenas (definite genitive plural)

Sju plus åtta ger fem, och ett i minne

Seven and eight gives five, and one to carry