ratio

See also: Ratio

English

Etymology

Borrowed from Latin ratiō. Doublet of ration and reason.

Pronunciation

• (Received Pronunciation) IPA^(key): /ˈɹeɪ.ʃi.əʊ/, /ˈɹeɪ.ʃəʊ/
  • (dated) IPA^(key): /ˈɹeɪ.si.əʊ/
• (US) IPA^(key): /ˈɹeɪ.ʃoʊ/, /ˈɹeɪ.ʃiˌoʊ/

• Audio (US):

  (file)

• Rhymes: -eɪʃiəʊ

Noun

ratio (plural ratios)

1. A number representing a comparison between two named things.
2. (arithmetic) The relative magnitudes of two quantities (usually expressed as a quotient).
3. (law) Short for ratio decidendi.
4. (Internet) The number of comments to a post or other expression on social media relative to the number of likes; a high ratio suggests disagreement with the contents of the original post.

Derived terms

• anharmonic ratio
• aspect ratio
• basic reproduction ratio
• basic reproductive ratio
• branching ratio
• cardiothoracic ratio
• common ratio
• compression ratio
• contrast ratio
• corn-hog ratio
• coward's ratio
• credit-deposit ratio
• cross-ratio
• cross ratio
• current ratio
• damping ratio
• dependency ratio
• deviation ratio
• double ratio
• eigenratio
• emergy investment ratio
• enantiomeric ratio
• error ratio
• eudismic ratio
• eudysmic ratio
• failure ratio
• financial ratio
• gear ratio
• gender ratio
• Gini ratio
• glide ratio
• golden ratio
• gyromagnetic ratio
• hazard ratio
• hog-corn ratio
• Horowitz ratio
• joy-to-stuff ratio
• kill/death ratio
• kill-death ratio
• kill-to-death ratio, K/D ratio
• lift-to-drag ratio
• loop ratio
• loss ratio
• mass-to-light ratio, M/L ratio
• media-to-lumen ratio, M/L ratio
• modified aspect ratio
• M-ratio
• n-firm concentration ratio
• original aspect ratio
• paO2/FiO2 ratio
• PaO2/FiO2 ratio, P/F ratio
• PE ratio
• P-E ratio
• PF ratio
• pixelation ratio
• Poisson's ratio
• price-earnings ratio
• price-to-earnings ratio, P/E ratio
• quick ratio
• ratioed
• ratio formalis
• ratiometer
• ratiometric
• ratiometry
• ratio scale
• ratio variable
• read-around ratio
• recta ratio
• Redfield ratio
• S/F ratio
• sequential probability ratio test
• sex ratio
• SF ratio
• Sharpe ratio
• shooting ratio
• signal-noise ratio
• signal-to-noise ratio, S/N ratio
• silver ratio
• sine ratio
• SpO2/FiO2 ratio
• subratio
• teeth-to-tail ratio
• Texas ratio
• Treynor ratio
• type-token ratio
• ultima ratio
• variation ratio

 

Related terms

• obiter
• obiter dictum
• ratio decidendi
• rational
• irrational

Descendants

• → Portuguese: rácio

Translations

number representing comparison

• Arabic: نسبة (nisba)
• Bulgarian: съотношение (bg) n (sǎotnošenie)
• Chinese:

  Mandarin: 比 (zh) (bǐ), 比例 (zh) (bǐlì), 比率 (zh) (bǐlǜ)

• Czech: poměr (cs) m
• Esperanto: proporcio
• Finnish: suhde (fi), suhdeluku (fi)
• French: rapport (fr) m (1), ratio (fr) m
• Greek: λόγος (el) m (lógos)
• Hebrew: יחס (he) m (yákhas)
• Hindi: अनुपात (hi) m (anupāt)
• Hungarian: arány (hu)
• Icelandic: hlutfallstala f, hlutfall n, hlutfall milli tveggja stærða n
• Indonesian: rasio (id), nisbah (id)
• Italian: ragione (it) f, rapporto (it) m
• Japanese: 比 (ja) (hi)
• Korean: 비 (ko) (bi), 비율 (ko) (biyul)
• Malay: nisbah (ms)
• Malayalam: അനുപാതം (ml) (anupātaṁ)
• Maori: ōwehenga
• Norwegian: forhold (no) n
• Polish: współczynnik (pl) m, stosunek (pl) m
• Portuguese: razão (pt) f, rácio m
• Russian: отноше́ние (ru) n (otnošénije), соотноше́ние (ru) n (sootnošénije)
• Spanish: razón (es) f, cociente (es) m, relación (es) f, ratio (es) f
• Swahili: uwiano (sw)
• Swedish: förhållande (sv) c
• Tagalog: tagway
• Telugu: నిష్పత్తి (te) (niṣpatti)
• Thai: สัดส่วน (th) (sàt-sùuan), อัตราส่วน (th) (àt-dtraa-sùuan)
• Welsh: cymhareb f

arithmetics: relative magnitude of two quantities expressed as quotient

• Bulgarian: отношение (bg) n (otnošenie)
• Esperanto: proporcio
• Finnish: suhde (fi), suhdeluku (fi)
• French: rapport (fr) m
• German: Verhältnis (de) n
• Greek: λόγος (el) m (lógos)
• Hindi: please add this translation if you can
• Hungarian: arány (hu)
• Indonesian: rasio (id)
• Italian: rapporto (it) m
• Korean: 비 (ko) (bi), 비율 (ko) (biyul)
• Polish: stosunek (pl) m
• Russian: коэффицие́нт (ru) m (koefficijént)
• Spanish: relación (es) f
• Swedish: förhållande (sv) n, proportion (sv) c
• Tagalog: tagway
• Tamil: please add this translation if you can
• Thai: อัตราส่วน (th) (àt-dtraa-sùuan)
• Turkish: oran (tr)
• Vietnamese: tỉ lệ (vi)
• Welsh: cymhareb f

ratio decidendi — see ratio decidendi

Verb

ratio (third-person singular simple present ratios, present participle ratioing, simple past and past participle ratioed)

1. (transitive, Internet slang) To respond to a post or message on social media in a greater number than the number of likes the post receives, especially to condemn or mock the original poster.

   The politician's post was quickly ratioed due to its controversial nature.

   • 2019, Henry Chisholm, "'Who Cares? It's women's hoops'", Montana Kaimin (The University of Montana), 30 January 2019 - 5 February 2019, page 29:

     It used to be fun to watch tweets like that get ratioed back into their ugly corner of the internet.

   • 2021 January 27, Leigh Tauss, “Ghost Roast”, in INDY Week, page 4:

     And, just FYI, here's how brutally the public ratioed that tweet.

   • 2021, @suburbanpoet, "Ratio or be Ratioed: Reluctant notes on Twitter", Honi Soit (University of Sydney), Week 4, Semester 2 (2021), page 16:

     It is essential that you ratio anyone who comes for your honour.

   • For more quotations using this term, see Citations:ratio.

Interjection

ratio

1. (neologism, Twitter) Indicates disagreement with a post the user disagrees with or dislikes.

   L + ratio

   • 2021, Lil Nas X, THE MONTERO SHOW‎^[1]:

     "Ratio. YoungBoy is better." "What?" "Make better music. You fell off."

Anagrams

• Artio, Otira, ariot, artoi, atrio-, iatro-

Dutch

Etymology

Borrowed from Latin ratiō.

Pronunciation

• IPA^(key): /ˈraː.(t)si.oː/

• Audio:

  (file)

• Hyphenation: ra‧tio

Noun

ratio f (plural ratio's)

1. (mathematics, countable) ratio, proportion

   Synonym: verhouding

2. (uncountable) reason

   Synonyms: rede, verstand

Related terms

• rationalisme
• rationeel

Descendants

• → Indonesian: rasio

French

Etymology

Borrowed from Latin ratio. Doublet of raison and ration.

Pronunciation

• IPA^(key): /ʁa.sjo/

• Audio:

  (file)

Noun

ratio m (plural ratios)

1. (mathematics) ratio

Further reading

• “ratio”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

Italian

Etymology

Learned borrowing from Latin ratiō (“reason, explanation”).

Pronunciation

• IPA^(key): /ˈrat.t͡sjo/
• Rhymes: -attsjo
• Hyphenation: rà‧tio

Noun

ratio f (uncountable)

1. reason, motive

   Synonyms: motivazione, motivo, ragione

2. expedient

   Synonym: espediente

Related terms

• ragione
• razione

 

Further reading

• ratio in Treccani.it – Vocabolario Treccani on line, Istituto dell'Enciclopedia Italiana

Anagrams

• -toria, Troia, atrio, iatro-, irato, orati, rotai, troia

Latin

Etymology

From ratus/reor (“to compute”) +‎ -tiō.

Pronunciation

• (Classical Latin) IPA^(key): /ˈra.ti.oː/, [ˈrät̪ioː]
• (modern Italianate Ecclesiastical) IPA^(key): /ˈrat.t͡si.o/, [ˈrät̪ː͡s̪io]

Noun

ratiō f (genitive ratiōnis); third declension

1. reason, reasoning, explanation, ground, motive, rationality, rationale, purpose

   qua ratione ― for what reason

   • 8 CE, Ovid, Fasti 3.621–622:

     at tū, seu ratiō tē nostrīs appulit ōrīs sīve deus, rēgnī commodā carpe meī.

     But you, whether purpose or some god has driven you to our shores, enjoy the benefits of my kingdom. (trans. Anne and Peter Wiseman, 2011)

2. calculation, account, accounting, reckoning, computation, business

   inire rationem ― to count

3. procedure, course, manner, method, mode, conduct, plan

   Synonyms: modus, disciplīna

   qua ratione ― in what manner

   inire rationem ― to take an initiative, to form a plan

   • c. 52 BCE, Julius Caesar, Commentarii de Bello Gallico VII.24:

     vix ratio iniri posset

     a plan could hardly be formed

4. theory, view
5. doctrine, system, philosophy (collective body of the teachings of a school of thought)
6. view, opinion, advice, consult
7. register (list)
8. regard, respect, interest, consideration
9. reference, relation, respect

Declension

Third-declension noun.

	singular	plural
nominative	ratiō	ratiōnēs
genitive	ratiōnis	ratiōnum
dative	ratiōnī	ratiōnibus
accusative	ratiōnem	ratiōnēs
ablative	ratiōne	ratiōnibus
vocative	ratiō	ratiōnēs

Synonyms

• (opinion): responsum, consultum

Derived terms

• ratiōnābilis
• ratiōnālis
• ratiōnārium
• ratiōcinor
• ratiuncula

Related terms

• ratiōcinium

Descendants

• Dalmatian:
  • rasaun, ratiáun
• Italo-Romance:
  • Italian: ragione
  • Neapolitan: ragiune
  • Sicilian: ragiuni, raggiuni, raciuni
• Padanian:
  • Friulian: reson
  • Ladin: reson
  • Piedmontese: rason
  • Romansch: raschun, raschung, radschun
  • Venetan: raxon, rajon
• Northern Gallo-Romance:
  • Old French: raison
    • French: raison
    • Walloon: råjhon
    • → English: reason
      • → Irish: réasún
• Southern Gallo-Romance:
  • Aragonese: razón
  • Catalan: raó
  • Occitan: rason
• Ibero-Romance:
  • Asturian: razón
  • Galician: razón
  • Portuguese: razão
  • Spanish: razón
• Insular Romance: (newer forms influenced by Italian)
  • Old Sardinian: rathone, rethone
    • Middle Sardinian: rasione, rexione, arresoni
      • Modern Sardinian: regione, rejone, raxoni
• Ancient borrowings:
  • → Proto-Albanian: *rrësye
    • Albanian: arsye, arrësye

Learned borrowings:

• From the nominative ratiō:
  • Catalan: ràtio
  • Dutch: ratio
    • → Indonesian: rasio
  • English: ratio
  • Esperanto: racio
  • French: ratio
  • Italian: ratio
  • Polish: racja
  • Portuguese: rácio
  • Romanian: rație
  • Spanish: ratio
• From the accusative ratiōnem:
  • Catalan: ració
  • English: ration
  • French: ration
  • Galician: ración
  • Italian: razione
  • Portuguese: ração
  • Romanian: rațiune
  • Spanish: ración
  • Turkish: racon

See also

• prōportiō

References

• “ratio”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
• ratio in Enrico Olivetti, editor (2003-2024), Dizionario Latino, Olivetti Media Communication
• “ratio”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
• ratio in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)
• ratio in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette.
• Carl Meißner, Henry William Auden (1894) Latin Phrase-Book‎^[2], London: Macmillan and Co.
  • the spirit of the times, the fashion: saeculi consuetudo or ratio atque inclinatio temporis (temporum)
    
  • the case is exactly similar (entirely different): eadem (longe alia) est huius rei ratio
    
  • to have regard for; take into consideration: rationem habere alicuius rei
    
  • to look after, guard a person's interests, welfare: rationibus alicuius prospicere or consulere (opp. officere, obstare, adversari)
    
  • my interests demanded it: meae rationes ita tulerunt
    
  • to form a conception, notion of a thing: notionem or rationem alicuius rei in animo informare or animo concipere
    
  • without reflection; inconsiderately; rashly: nullo consilio, nulla ratione, temere
    
  • after mature deliberation: inita subductaque ratione
    
  • to have a theoretical knowledge of a thing: ratione, doctrina (opp. usu) aliquid cognitum habere
    
  • to reduce a thing to its theoretical principles; to apply theory to a thing: ad artem, ad rationem revocare aliquid (De Or. 2. 11. 44)
    
  • to adopt a didactic tone: ad praecipiendi rationem delābi (Q. Fr. 1. 1. 6. 18)
    
  • logic, dialectic: dialectica (-ae or -orum) (pure Latin disserendi ratio et scientia)
    
  • to arrange on strictly logical principles: ratione, eleganter (opp. nulla ratione, ineleganter, confuse) disponere aliquid
    
  • system: ratio; disciplina, ratio et disciplina; ars
    
  • to systematise: ad rationem, ad artem et praecepta revocare aliquid (De Or. 1. 41)
    
  • systematic, methodical knowledge: ratio et doctrina
    
  • to treat with scientific exactness; to classify: ad rationis praecepta accommodare aliquid
    
  • to upset the whole system: totam rationem evertere (pass. iacet tota ratio)
    
  • to proceed, carry on a discussion logically: ratione et via, via et ratione progredi, disputare (Or. 33. 116)
    
  • to enter on a new method: novam rationem ingredi
    
  • to be based on a sound principle: a certa ratione proficisci
    
  • to deal with a subject on scientific principles: ad philosophorum or philosophandi rationes revocare aliquid
    
  • to bring forward an argument (based on common-sense): rationem afferre (Verr. 3. 85. 195)
    
  • the conclusion proves that..: ratio or rationis conclusio efficit
    
  • the syllogism; reasoning: ratiocinatio, ratio
    
  • chronology: temporum ratio, descriptio, ordo
    
  • to calculate the date of an event: ad temporum rationem aliquid revocare
    
  • to draw a mathematical conclusion: mathematicorum ratione concludere aliquid
    
  • the connection of thought: ratio sententiarum
    
  • the connection of thought: ratio, qua sententiae inter se excipiunt.
    
  • to be endowed with reason: rationis participem (opp. expertem) esse
    
  • to be endowed with reason: ratione praeditum esse, uti
    
  • to act reasonably, judiciously: prudenter, considerate, consilio agere (opp. temere, nullo consilio, nulla ratione)
    
  • to be contrary to all reason: rationi repugnare
    
  • on principle: ratione; animi quodam iudicio
    
  • a sound and sensible system of conduct: vitae ratio bene ac sapienter instituta
    
  • the principles which I have followed since I came to man's estate: meae vitae rationes ab ineunte aetate susceptae (Imp. Pomp. 1. 1.)
    
  • to follow fixed principles of conduct: certas rationes in agendo sequi
    
  • finance; money-matters: ratio pecuniarum
    
  • account-book; ledger: codex or tabulae ratio accepti et expensi
    
  • to go through accounts, make a valuation of a thing: rationem alicuius rei inire, subducere
    
  • to do something after careful calculation: inita subductaque ratione aliquid facere
    
  • to balance accounts with some one: rationes putare cum aliquo
    
  • the accounts balance: ratio alicuius rei constat (convenit, par est)
    
  • the account of receipts and expenditure: ratio acceptorum et datorum (accepti et expensi) (Amic. 16. 58)
    
  • to keep the accounts (day-book) carefully: rationem diligenter conficere
    
  • to render count of a matter; to pass it for audit: rationem alicuius rei reddere
    
  • to demand an account, an audit of a matter: rationem alicuius rei reposcere aliquem or ab aliquo
    
  • to demand an account, an audit of a matter: rationem ab aliquo reptere de aliqua re (Cluent. 37. 104)
    
  • credit and financial position: fides et ratio pecuniarum
    
  • the interests of the state: commoda publica or rei publicae rationes
    
  • to further the public interests: rei publicae rationibus or simply rei publicae consulere
    
  • to consider a thing from a political point of view: ad rei publicae rationes aliquid referre
    
  • a democratic leader: homo florens in populari ratione
    
  • judicial organisation: ratio iudiciorum
    
  • to change one's tactics: rationem belli gerendi mutare (Liv. 32. 31)
    
• Wagner, Max Leopold (1960–1964) “rathone”, in Dizionario etimologico sardo, Heidelberg
• Walther von Wartburg (1928–2002) “ratio”, in Französisches Etymologisches Wörterbuch, volume 10: R, page 105

Anagrams

• Troia

Spanish

Etymology

Learned borrowing from Latin ratiō. Doublet of ración and razón.

Pronunciation

• IPA^(key): /ˈratjo/ [ˈra.t̪jo]
• Rhymes: -atjo
• Syllabification: ra‧tio

Noun

ratio f (plural ratios)

1. (mathematics) ratio

Further reading

• “ratio”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8, Royal Spanish Academy [Spanish: Real Academia Española], 2024 December 10

Anagrams

• atrio