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has gloss | (noun) a state of being essentially equal or equivalent; equally balanced; "on a par with the best" par, equation, equality, equivalence |
has gloss | eng: Equality, or more formally the identity relation, is the binary relation on a set X defined by \(x, x)\;|\;x\in X\}. |
has gloss | eng: Two mathematical objects are equal if and only if they are exactly the same in every way. This defines a binary relation, equality, marked by the sign of equality "=" in such a way that the statement "x = y" means that x and y are equal. |
lexicalization | eng: Equality mathematics |
lexicalization | eng: Equality |
lexicalization | eng: equation |
lexicalization | eng: equivalence |
lexicalization | eng: par |
subclass of | (noun) the relative position or standing of things or especially persons in a society; "he had the status of a minor"; "the novel attained the status of a classic"; "atheists do not enjoy a favorable position in American life" status, position |
has subclass | (noun) social and political equality; "egality represents an extreme leveling of society" egality, egalite |
has subclass | (noun) equality of score in a contest tie |
Meaning | |
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Afrikaans | |
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lexicalization | afr: vergelyking |
Arabic | |
has gloss | ara: المساواة هي المبدأ العام للتعبير عن تعادل كميتين أو تعبيرين رياضيين. وتشير إلى عمليات ثنائية على المجموعة هي، الانعكاس، التناظر، التعدي. |
lexicalization | ara: مساواة |
Asturian | |
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lexicalization | ast: equivalencia |
Belarusian | |
has gloss | bel: Ро́ўнасць - адносіна між дзвума аб'ектамі, якая азначае супадзенне іх па пэўных характарыстыках. |
lexicalization | bel: Роўнасць |
Catalan | |
lexicalization | cat: igualtat |
lexicalization | cat: equivalència |
Czech | |
has gloss | ces: Rovnost v matematice je relace neboli vztah, vyjadřující absolutní shodnost, totožnost objektů, které jsou v tomto vztahu. Každý objekt je roven pouze a jen sám sobě. |
lexicalization | ces: rovnost |
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lexicalization | ces: rovnocennost |
lexicalization | ces: ekvivalence |
German | |
lexicalization | deu: Gleichstellung |
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lexicalization | deu: Äquivalenz |
Esperanto | |
has gloss | epo: Egaleco estas ekzemplo de la pli ĝenerala koncepto de ekvivalentrilato sur aro. |
lexicalization | epo: egaleco |
lexicalization | epo: egalaĵo |
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lexicalization | epo: ekvivalenteco |
lexicalization | epo: ambaŭdirekta implikacio |
Estonian | |
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lexicalization | est: samasus |
Basque | |
lexicalization | eus: berdintasun |
lexicalization | eus: baliokidetasun |
Finnish | |
has gloss | fin: Yhtäsuuruudella voidaan tarkoittaa matematiikassa useita asioita, kyse on kuitenkin aina vertailusta. Esimerkiksi kahden luvun sanotaan olevan yhtäsuuret, kun niiden erotus on nolla. Kaksi vektoria ja vastaavasti matriisia ovat yhtäsuuret, kun niiden toisiaan vastaavat komponentit ovat yhtäsuuret. |
lexicalization | fin: Yhtäsuuruus |
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lexicalization | fin: samanarvoisuus |
lexicalization | fin: ekvivalenssi |
French | |
has gloss | fra: En mathématiques, l’égalité est une relation binaire entre objets (souvent appartenant à un même ensemble) signifiant que ces objets sont identiques, c’est-à-dire que le remplacement de l’un par l’autre dans une expression ne change jamais la valeur de cette dernière. Une égalité est une proposition (qu’elle soit vraie ou fausse) pouvant s’écrire à l’aide du signe égal (« = ») séparant deux expressions mathématiques de même nature (nombres, vecteurs, fonctions, ensembles…) ; la proposition contraire s’écrit à l’aide du symbole de différence : « ≠ ». |
lexicalization | fra: égalité |
lexicalization | fra: Egalite |
lexicalization | fra: équivalence |
Galician | |
lexicalization | glg: igualdade |
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lexicalization | glg: equivalencia |
Haitian | |
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lexicalization | hat: ekivalans |
Hebrew | |
has gloss | heb: במתמטיקה ובלוגיקה, שוויון בין שני עצמים מציין זהות מוחלטת ביניהם, בכל מאפייניהם. השוויון הוא יחס, המסומן ב"=", ומתקיים: x=y אם ורק אם x ו-y שווים זה לזה. את הסימון "=" לציון שוויון יצר רוברט רקורד בשנת 1557. |
lexicalization | heb: שוויון |
Hindi | |
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lexicalization | hin: wulyawA |
Croatian | |
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lexicalization | hrv: ekvivalencija |
Armenian | |
lexicalization | hye: հավասարություն |
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lexicalization | hye: համազորություն |
lexicalization | hye: հավասարարժեքություն |
Indonesian | |
lexicalization | ind: persamaan |
Italian | |
lexicalization | ita: uguaglianza |
lexicalization | ita: uquaglianza |
lexicalization | ita: equivalenza |
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lexicalization | ita: equipollenza |
Japanese | |
has gloss | jpn: 等式(とうしき)とは、二つの対象の等価性・相等関係 (equality) を表す数式のことである。 |
lexicalization | jpn: 等式 |
Georgian | |
has gloss | kat: ტოლობა, ობიექტთა ურთიერთშეცვლის მიმართება, რომლითაც მათი ურთიერთშეცვლის ძალით თვლიან ტოლად. ტოლობის ასეთი გაგება მომდინარეობს გოტფრიდ ლაიბნიციდან. ურთიერთშეცვლა შეიძლება იყოს მეტნაკლებად სრული (რაც დამოკიდებულია ტოლობის სიღრმეზე), მაგრამ საერთოდ ის ყოველთვის ფარდობითია, რადგანაც გასატოლებელი ობიექტები, იქნება ეს ობიექტური სამყაროს საგნები თუ ჩვენი აზრები (იდეები, ცნებები, გამონათქვამები და სხვა), ინდივიდუალური და განუმეორებელია. ურთიერთშეცვლის სისრულის ხარისხი ბუნებრივად იზრდება მსგავსებიდან იგივეობამდე. |
lexicalization | kat: ტოლობა |
Korean | |
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lexicalization | kor: 같음 |
lexicalization | kor: 동의성 |
lexicalization | kor: 등가성 |
lexicalization | kor: 등량 |
lexicalization | kor: 동등 |
lexicalization | kor: 동량 |
Lithuanian | |
lexicalization | lit: lygybė |
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lexicalization | lit: atitikimas |
lexicalization | lit: ekvivalentiškumas |
lexicalization | lit: lygiavertiškumas |
Lombard | |
has gloss | lmo: Sa la nòmena igualtaa una espressiun matemàtica cha la índica lequivalenza da dò entitaa. |
lexicalization | lmo: igualtaa |
Macedonian | |
lexicalization | mkd: равенство |
Maori | |
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lexicalization | mri: ingoa whakarite |
lexicalization | mri: tau ingoa whärite |
lexicalization | mri: tau whärite |
lexicalization | mri: whärite |
Dutch | |
lexicalization | nld: gelijkwaardigheid |
Norwegian Bokmål | |
lexicalization | nob: likestilling |
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lexicalization | nob: likhet |
lexicalization | nob: likeverd |
Norwegian | |
lexicalization | nor: likestilling |
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lexicalization | nor: likeverd |
Occitan (post 1500) | |
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lexicalization | oci: egalitat |
Polish | |
has gloss | pol: Równość to pewna specjalna relacja, która jest relacją równoważności (czyli jest zwrotna, przechodnia i symetryczna). Ważną własnością relacji równości jest to, że jeśli a=b\,, to dla dowolnego wyrażenia f\,: f(\dots,a,\dots) = f(\dots,b,\dots). |
lexicalization | pol: równość |
lexicalization | pol: Równość |
Portuguese | |
lexicalization | por: Igualdade matemática |
lexicalization | por: Igualdade |
lexicalization | por: igualdade |
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lexicalization | por: equivalência |
lexicalization | por: eqüidade |
Moldavian | |
lexicalization | ron: egalitate |
lexicalization | ron: echivalență |
Russian | |
has gloss | rus: | align=right style="margin-left: 20px; margin-bottom: 40px;" cellpadding=0 | ||0||1||2||3||4||5||6||7||8||9 |- |0||<font color=#00FFCC size="+2">•||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>× |- |1||<font color=#CC4000>×||<font color=#00FFCC size="+2">•||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>× |- |2||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#00FFCC size="+2">•||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>× |- |3||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#00FFCC size="+2">•||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>× |- |4||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font color=#CC4000>×||<font... |
lexicalization | rus: равенство |
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lexicalization | rus: эквивалентность |
lexicalization | rus: ровность |
Slovak | |
has gloss | slk: Rovnosť v matematike znamená, že dve veličiny sú rovnaké, v prípade dvoch čísiel alebo počtových výrazov sa zapisuje: |
lexicalization | slk: rovnosť |
lexicalization | slk: Rovnosť |
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lexicalization | slk: ekvivalencia |
lexicalization | slk: ekvivalentnosť |
Castilian | |
has gloss | spa: En matemáticas, dos objetos matemáticos son considerados iguales y si tienen precisamente el mismo valor. Esto define un predicado binario, igualdad, y si sólo si x e y son iguales. Una equivalencia en sentido general viene dada por la construcción de una relación de equivalencia entre dos elementos. Un enunciado en que dos expresiones denotan cantidades iguales es una ecuación. |
lexicalization | spa: Igualdad matematica |
lexicalization | spa: Igualdad matemática |
lexicalization | spa: paridad |
lexicalization | spa: equivalencia |
Sardinian | |
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lexicalization | srd: ecuivalèntzia |
Swedish | |
lexicalization | swe: ekvivalens |
Turkish | |
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lexicalization | tur: eþitlik |
Ukrainian | |
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lexicalization | ukr: рівність |
lexicalization | ukr: еквівалентність |
Chinese | |
has gloss | zho: 数学上,两个数学对象是相等的,若他们在各个方面都相同。这就定义了一个二元谓词等于,写作“=”;x = y 当且仅当x 和y 相等。通常意义上,等于是通过两个元素间的等价关系来构造的。将两个表达式用等于符号连起来,就构成了等式。 |
lexicalization | zho: 等于 |
Links | |
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similar | e/Equality (mathematics) |
similar | e/simple/Equality (mathematics) |
Media | |
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media:img | Eqaulity.PNG |
media:img | Eqaulity.png |
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