mathematics A mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function).

synonyms: map, mapping, mathematical function, single-valued function.

Roget 84: number, symbol, numeral, figure, cipher, digit, integer; counter; round number; formula; function; series.    sum, difference, complement, subtrahend; product; multiplicand, multiplier, multiplicator^†; coefficient, multiple; dividend, divisor, factor, quotient, submultiple [Math.]; fraction, rational number; surd, irrational number; transcendental number; mixed number, complex number, complex conjugate; numerator, denominator; decimal, circulating decimal, repetend; common measure, aliquot part; prime number, prime, relative prime, prime factor, prime pair; reciprocal; totient^†.    binary number, octal number, hexadecimal number [Comp.].    permutation, combination, variation; election.    ratio, proportion, comparison etc. 464; progression; arithmetical progression, geometrical progression, harmonical progression^†; percentage, permilage.    figurate numbers^†, pyramidal numbers, polygonal numbers.    power, root, exponent, index, logarithm, antilogarithm; modulus, base.    differential, integral, fluxion^†, fluent.    ... show more

Roget 998: rite; ceremony, ritual, liturgy, ceremonial; ordinance, observance, function, duty; form, formulary; solemnity, sacrament; incantation etc. (spell) 993; service, psalmody etc. (worship) 990.    ministration; preaching, preachment; predication, sermon, homily, lecture, discourse, pastoral.    [Christian ritual for induction into the faith] baptism, christening, chrism; circumcision; baptismal regeneration; font.    confirmation; imposition of hands, laying on of hands; ordination etc. (churchdom) 995; excommunication.    [Jewish rituals] Bar Mitzvah, Bas Mitzvah [Fr.], Bris.    Eucharist, Lord's supper, communion; the sacrament, the holy sacrament; celebration, high celebration; missa cantata [Lat.]; asperges^†; offertory; introit; consecration; consubstantiation, transubstantiation; real presence; elements; mass; high mass, low mass, dry mass.    matrimony etc. 903; burial etc. 363; visitation of the sick.    seven sacraments, impanation^†, subpanation^†, extreme unction, viaticum, invocation of saints, canonization, transfiguration, auricular confession; maceration, flagellation, sackcloth and ashes; penance etc. (atonement) 952; telling of beads, processional; thurification^†, incense, holy water, aspersion.    relics, rosary, beads, reliquary, host, cross, rood, crucifix, pax [Lat.], pyx, agnus Dei [Lat.], censer, thurible, patera^†; eileton^†, Holy Grail; prayer machine, prayer wheel; Sangraal^†, urceus^†.    ritualism, ceremonialism; sabbatism^†, sabbatarianism^†; ritualist, sabbatarian^†.    holyday, feast, fast.    [Christian holy days] Sabbath, Pentecost; Advent, Christmas, Epiphany; Lent; Passion week, Holy week; Easter, Easter Sunday, Whitsuntide; agape, Ascension Day, Candlemas^†, Ash Wednesday, Good Friday, Holy Thursday; Lammas, Martinmas, Michaelmas; All SAint's DAy, All Souls' Day.    [Moslem holy days] Ramadan, Ramazan; Bairam &c.. etc. [Jewish holy days] Passover; Shabuoth; Yom Kippur, Day of Atonement; Rosh Hashana, New Year; Hanukkah, Chanukkah, Feast of Lights; Purim, Feast of lots.    ... show more

Dutch: afbeelding, functie
Polish: funkcja, odwzorowanie, transformacja, przekształcenie

What something is used for:
— The function of an auger is to bore holes.

synonyms: purpose, role, use.

Roget 644: utility; usefulness etc. adj.; efficacy, efficiency, adequacy; service, use, stead, avail; help etc. (aid) 707; applicability etc. adj.; subservience etc. (instrumentality) 631; function etc. (business) 625; value; worth etc. (goodness) 648; money's worth; productiveness etc. 168; cui bono [Lat.] etc. (intention) 620; utilization etc. (use) 677; step in the right direction.    common weal; commonwealth public good, public interest; utilitarianism etc. (philanthropy) 910.    ... show more

Dutch: functie, rol
Polish: funkcja, rola

The actions and activities assigned to or required or expected of a person or group:
— The function of a teacher.

synonyms: office, part, role.

Roget 926: duty, what ought to be done, moral obligation, accountableness^†, liability, onus, responsibility; bounden duty, imperative duty; call, call of duty; accountability.    allegiance, fealty, tie engagement etc. (promise) 768; part; function, calling etc. (business) 625.    morality, morals, decalogue; case of conscience; conscientiousness etc. (probity) 939; conscience, inward monitor, still small voice within, sense of duty, tender conscience, superego; the hell within [Paradise Lost]. dueness etc. 924; propriety, fitness, seemliness, amenability, decorum, to prepon; the thing, the proper thing; the right thing to do, the proper thing to do.    [Science of morals] ethics, ethology.   ; deontology^†, aretology^†; moral philosophy, ethical philosophy; casuistry, polity.    observance, fulfillment, discharge, performance, acquittal, satisfaction, redemption; good behavior.    ... show more

Roget 170: agency, operation, force, working, strain, function, office, maintenance, exercise, work, swing, play; interworking^†, interaction; procurement.    causation etc. 153; instrumentality etc. 631; influence etc. 175; action etc. (voluntary) 680; modus operandi etc. 627.    quickening power, maintaining power, sustaining power; home stroke.    ... show more

Roget 625: business, occupation, employment; pursuit etc. 622; what one is doing, what one is about; affair, concern, matter, case.    matter in hand, irons in the fire; thing to do, agendum, task, work, job, chore [U.S.], errand, commission, mission, charge, care; duty etc. 926.    part, role, cue; province, function, lookout, department, capacity, sphere, orb, field, line; walk, walk of life; beat, round, routine; race, career.    office, place, post, chargeship^†, incumbency, living; situation, berth, employ; service etc. (servitude) 749; engagement; undertaking etc. 676.    vocation, calling, profession, cloth, faculty; industry, art; industrial arts; craft, mystery, handicraft; trade etc. (commerce) 794.    exercise; work etc. (action) 680; avocation; press of business etc. (activity) 682.    ... show more

Dutch: rol, ambt
Polish: skóra

A relation such that one thing is dependent on another.

Dutch: functie

A formal or official social gathering or ceremony.

A vaguely specified social event:
— A seemingly endless round of social functions.

synonyms: affair, occasion, social function, social occasion.

Dutch: evenement, gebeuren, gebeurtenis, happening, moment

A set sequence of steps, part of larger computer program.

synonyms: procedure, routine, subprogram, subroutine.

Dutch: routine
Polish: funkcja

Perform as expected when applied.

synonyms: go, operate, run, work.

Dutch: functioneren, werken

Serve a purpose, role, or function:
— The table functions as a desk.

synonym: serve.

Dutch: dienen, figureren, functioneren, fungeren

Perform duties attached to a particular office or place or function.

synonym: officiate.