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| − | {{also|Sine}}
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| | ==English== | | ==English== |
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| − | [[Image:Sine.svg|thumb|Sine function]]
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| − | ===Etymology===
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| − | From {{etyl|la}} {{term|sinus|lang=la}}, originally by mistranslation of {{etyl|ar}} {{term|جــب|lang=ar}}.
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| − |
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| − | ===Pronunciation===
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| − | * {{enPR|sīn}}, {{IPA|/saɪn/}}, {{SAMPA|/saIn/}}
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| − | * {{homophones|sign}}
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| − | * {{rhymes|aɪn}}
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| | ===Noun=== | | ===Noun=== |
| | {{en-noun}} | | {{en-noun}} |
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| | # {{context|trigonometry|mathematics}} In a [[right triangle]], the [[ratio]] of the [[length]] of the [[side]] [[opposite]] an [[angle]] to the length of the [[hypotenuse]]. | | # {{context|trigonometry|mathematics}} In a [[right triangle]], the [[ratio]] of the [[length]] of the [[side]] [[opposite]] an [[angle]] to the length of the [[hypotenuse]]. |
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| − | ===Notes===
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| − | In various branches of mathematics, the sine of an angle is determined in various ways, including the following:
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| − | * The [[y-coordinate|''y''-coordinate]] of the [[point]] on the [[unit]] [[circle]] at the given [[anticlockwise]] angle from the ''x'' [[axis]].
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| − | * The [[sum]] of the [[real]] or [[complex]] [[power series]]
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| − | *: <math>\sum_1^\infty{{(-1)^{n-1}}\over{(2n-1)!}}x^{2n-1}</math>
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| − |
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| − | ===Synonyms===
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| − | * Symbol: [[sin]]
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| − |
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| − | ===Derived terms===
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| − | * [[arcsine]]
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| − | * [[cosine]]
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| − | * [[sine wave]]
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| − | * [[sinusoid]]
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| − | * [[sinusoidal]]
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| − |
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| − | ===Translations===
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| − | {{trans-top|trigonometric function}}
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| − | * [[Afrikaans]]: {{t|af|sinus}}, {{t|af|sinusse}}
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| − | * Arabic: {{t-|ar|جيب|m|tr=jayb}}
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| − | * [[Catalan]]: {{t-|ca|sinus|m}}
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| − | * Chinese:
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| − | *: Mandarin: {{t|cmn|正弦|tr=zhèngxián|sc=Hani}}
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| − | * Czech: {{t-|cs|sinus|m}}
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| − | * Danish: {{t-|da|sinus}}
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| − | * Dutch: {{t-|nl|sinus|m}}
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| − | * Esperanto: {{t-|eo|sinuso|xs=Esperanto}}
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| − | * Finnish: {{t-|fi|sini}}
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| − | * French: {{t+|fr|sinus|m}}
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| − | * German: {{t+|de|Sinus|m}}
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| − | * Greek: {{t+|el|ημίτονο|n|tr=imítono}}
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| − | {{trans-mid}}
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| − | * Hungarian: {{t-|hu|szinusz}}
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| − | * [[Ido]]: {{t+|io|sinuso|xs=Ido}}
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| − | * Italian: {{t+|it|seno|m}}
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| − | * Japanese: {{t+|ja|サイン|tr=sain}}, {{t|ja|正弦|tr=seigen}}
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| − | * [[Macedonian]]: {{t|mk|синус|m|tr=sínus}}
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| − | * [[Manx]]: {{t|gv|sheenys|m}}
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| − | * Norwegian: {{t-|no|sinus|m}}
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| − | * Portuguese: {{t+|pt|seno|m}}
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| − | * Romanian: {{t+|ro|sinus|n}}
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| − | * Russian: {{t|ru|синус|m|tr=sínus}}
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| − | * Spanish: {{t+|es|seno|m}}
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| − | * Swedish: {{t|sv|sinus}}
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| − | * [[Tamil]]: {{t|ta|செவ்வளை|tr=sevvaLai|xs=Tamil}}
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| − | {{trans-bottom}}
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| − |
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| − | ===See also===
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| − | * [[cosecant]]
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| − | * [[cotangent]]
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| − | * [[secant]]
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| − | * [[tangent]]
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| − | * [[trigonometry]]
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| − | ===Anagrams===
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| − | * [[sien#English|sien]]
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| − | ----
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| − | ==Danish==
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| − | ===Pronunciation===
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| − | * {{IPA|/siːnə/|[ˈsiːnə]|[ˌsiːnə]|lang=da}}
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| − | ===Pronoun===
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| − | {{infl|da|pronoun}}
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| − | # {{form of|plural|sin|lang=da}}
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| − | ===See also===
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| − | {{Danish personal pronouns}}
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| − | ----
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| − | ==Irish==
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| − | ===Pronunciation===
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| − | * {{IPA|/ˈʃinʲə/|lang=ga}}
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| − | ===Etymology 1===
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| − | From {{etyl|sga|ga}} {{term|sine|lang=sga}}, {{term|siniu|lang=sga}}, comparative form of {{term|sen||old|lang=sga}}.
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| − | ====Adjective====
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| − | {{infl|ga|adjective form}}
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| − | # {{comparative of|sean|lang=ga|nodot=yes}}: [[older]]
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| − | =====Declension=====
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| − | {{ga-adj-1b|sean|sean|sin|sean|q=sb}}
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| − | ===Etymology 2===
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| − | From {{etyl|sga|ga}} {{term|sine||teat, dug, pap|lang=sga}} < {{proto|Celtic|svenio|lang=ga}} for {{proto|Indo-European|spenio|lang=ga}}. Cognate with Old Norse {{term|speni||teat|lang=non}}, Scottish {{term|spain||udder|lang=gd}}.
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| − | ====Noun====
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| − | {{infl|ga|noun|g=f}}
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| − | # [[nipple]]
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| − | =====Declension=====
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| − | {{ga-noun-f4|si|ne|ní}}
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| − | =====Mutation=====
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| − | {{ga mut cons|si|ne}}
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| − | [[Category:ga:Anatomy]]
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| − | ----
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| − | ==Latin==
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| − | ===Etymology===
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| − | From {{proto|Indo-European|sene-||sane-|apart, without|lang=la}}. Cognate with {{etyl|ang|-}} {{term|sundor||apart, separately, by oneself|lang=ang}}. More at {{l|en|sunder}}.
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| − | ===Pronunciation===
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| − | * {{a|Classical}} {{IPA|/ˈsi.ne/|lang=la}}
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| − | ===Preposition===
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| − | '''sine''' (+ {{ablative}})
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| − | # [[without]]
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| − | #: Sum '''sine''' regno.''
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| − | #:: I am without a kingdom.
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| − | ===Derived terms===
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| − | * [[sine causa|sine causā]]
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| − | * [[sine die|sine diē]]
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| − | * [[sine nomine|sine nōmine]]
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| − | * [[sine prole|sine prōle]]
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| − | * [[decessit sine parole]]
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| − | * [[sum sine regno]]
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| − | * [[injuria sine damno]]
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| − | ====Descendants====
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| − | {{top2}}
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| − | * Catalan: {{l|ca|sense}}
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| − | * French: [[sans]]
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| − | * Galician: [[sen]]
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| − | {{mid2}}
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| − | * Italian: [[senza]]
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| − | * Portuguese: {{l|pt|sem}}
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| − | * Spanish: {{l|es|sin}}
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| − | {{bottom}}
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| − | [[Category:Latin prepositions]]
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| − | ----
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| − | ==Romanian==
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| − | {{rfc|lang=ro}}
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| − | ===Etymology===
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| − | From {{etyl|la|ro}} {{term|se|sē|lang=la}}.
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| − | ===Pronunciation===
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| − | {{rfp|lang=ro}}
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| − | ===Pronoun===
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| − | '''sine''' (''stressed [[reflexive]]-[[accusative]] form of '''{{term|el|lang=ro}}''', '''{{term|ea|lang=ro}}''', '''{{term|ei|lang=ro}}''' and '''{{term|ele|lang=ro}}''''')
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| − | # [[himself]], [[herself]], [[itself]], [[themselves]]
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| − | ===Synonyms===
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| − | * {{term|se|lang=ro}} {{context|unstressed form}}
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| − | [[Category:Romanian personal pronouns]]
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| − | ----
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| − | ==Scottish Gaelic==
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| − | ===Pronunciation===
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| − | * {{IPA|/ˈʃinʲə/|lang=gd}}
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| − | ===Etymology===
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| − | From {{etyl|ga|gd}} {{term|sine||teat|lang=ga}}, from {{etyl|sga|gd}} {{term|sine||teat, dug, pap|lang=sga}} < {{proto|Celtic|svenio|lang=gd}} for {{proto|Indo-European|spenio|lang=gd}}. Cognate with Old Norse {{term|speni||teat|lang=non}}, Scottish {{term|spain||udder|lang=gd}}.
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| − | ===Adjective===
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| − | {{infl|gd|adjective form}}
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| − | # {{form of|Comparative and superlative form|sean|lang=gd}}
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| − | ===Noun===
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| − | {{infl|gd|noun|g=f|genitive|sine|plural|sinean}}
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| − | # [[nipple]], [[teat]]
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| − | # [[gin]] {{gloss|drink}}
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| − | [[Category:gd:Anatomy]]
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| − | [[ast:sine]]
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| − | [[cs:sine]]
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| − | [[da:sine]]
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| − | [[de:sine]]
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| − | [[et:sine]]
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| − | [[el:sine]]
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| − | [[fr:sine]]
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| − | [[ko:sine]]
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| − | [[hr:sine]]
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| − | [[io:sine]]
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| − | [[id:sine]]
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| − | [[ku:sine]]
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| − | [[la:sine]]
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| − | [[hu:sine]]
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| − | [[nl:sine]]
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| − | [[ja:sine]]
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| − | [[no:sine]]
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| − | [[pl:sine]]
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| − | [[pt:sine]]
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| − | [[ru:sine]]
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| − | [[sv:sine]]
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| − | [[ta:sine]]
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| − | [[te:sine]]
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| − | [[tr:sine]]
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| − | [[vi:sine]]
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| − | [[zh:sine]]
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