| Information | |
|---|---|
| has gloss | (noun) a set containing all points (or all real numbers) between two given endpoints interval |
| has gloss | eng: In mathematics an interval means a group of numbers that includes all numbers between the beginning and the end. Numbers that are larger than the beginning number and smaller than the end number are inside the interval, and numbers that are smaller than the beginning number or larger than the end number are not in the interval. The beginning number and end number may or may not be inside the interval. An example of an interval might be from 3.3 to 15. Numbers like 4, 8, 9.5, 14, and even 14.999 are inside this interval. Numbers like -4, 2, 3.2, 20, and 15.000001 are not inside this interval. |
| has gloss | eng: In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set. For example, the set of all numbers x satisfying 0 \le x \le 1 is an interval which contains 0 and 1, as well as all numbers between them. Other examples of intervals are the set of all real numbers \R, the set of all negative real numbers, and the empty set. |
| lexicalization | eng: intervals |
| lexicalization | eng: interval |
| subclass of | (noun) (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite" set |
| has subclass | (noun) an interval that includes its endpoints bounded interval, closed interval |
| has subclass | (noun) an interval that does not include its endpoints unbounded interval, open interval |
| has subclass | (noun) an interval that is included in another interval sub-interval |
| has instance | e/Augmented fifth |
| has instance | e/Augmented octave |
| has instance | e/Augmented seventh |
| has instance | e/Augmented sixth |
| has instance | e/Augmented third |
| has instance | e/Diminished fourth |
| has instance | e/Diminished octave |
| has instance | e/Diminished second |
| has instance | e/Diminished seventh |
| has instance | e/Diminished sixth |
| has instance | e/Diminished third |
| has instance | e/Diminished unison |
| has instance | e/Major diatonic semitone |
| has instance | e/Medium second |
| has instance | e/Minor diatonic semitone |
| has instance | e/Neutral seventh |
| has instance | e/Neutral sixth |
| has instance | e/Neutral third |
| has instance | e/Septimal major third |
| has instance | e/Septimal whole tone |
| Meaning | |
|---|---|
| Arabic | |
| has gloss | ara: في الرياضيات, تعرف الفترة (الحقيقية) بأنها مجموعة الأعداد الحقيقية والتي لها خاصية أن أي عدد يقع بين عددين في المجموعة هو أيضا ضمن المجموعة. |
| lexicalization | ara: فترة |
| Show unreliable ▼ | |
| lexicalization | ara: فاصل |
| Belarusian | |
| has gloss | bel: Адцінак (адрэзак) — тэрмін, які можа ўжывацца для двух блізкіх паняцьцяў у геамэтрыі і матэматычным аналізе. |
| lexicalization | bel: адцінак |
| Bulgarian | |
| has gloss | bul: В математиката интервал е множество от реални числа, което се състои от всички числа, които се намират между дадени 2 числа. Тези 2 числа се наричат крайни точки на интервала |
| lexicalization | bul: интервал |
| Catalan | |
| has gloss | cat: En àlgebra, un interval és un conjunt que conté tots i cadascun dels nombres reals que es troben entre els dos nombres indicats, i a més pot contenir aquests dos nombres en funció de si l'interval és tancat o obert. |
| lexicalization | cat: Interval |
| Czech | |
| has gloss | ces: V matematice se jako interval označuje množina reálných čísel, které leží mezi dvěma určenými čísly, která se označují jako meze intervalu. Např. interval „(10;20)“ popisuje množinu reálných čísel mezi 10 a 20, bez těchto čísel. Interval „<10;20>“ pak označuje množinu reálných čísel mezi 10 a 20, včetně těchto čísel. (Podrobnosti viz níže.) |
| lexicalization | ces: interval |
| Show unreliable ▼ | |
| lexicalization | ces: mezidobí |
| Danish | |
| has gloss | dan: Et interval er i matematiske sammenhænge en mængde bestående af samtlige reelle tal, der ligger mellem to givne tal, kaldet endepunkter. Disse to tal, der udgør grænserne for intervallet, kan enten være en del af eller stå uden for intervallet, og man skelner således mellem åbne, halvåbne og lukkede intervaller. |
| lexicalization | dan: interval |
| German | |
| has gloss | deu: Ein Intervall ist eine „zusammenhängende“ Teilmenge einer geordneten Menge. Dabei bedeutet „zusammenhängend“: Wenn zwei Objekte in der Teilmenge enthalten sind, dann sind auch alle Objekte, die dazwischen liegen, darin enthalten. In der Regel betrachtet man die Menge der reellen Zahlen, manchmal auch die der rationalen, der ganzen oder der natürlichen Zahlen. |
| lexicalization | deu: Intervall |
| Esperanto | |
| has gloss | epo: Intervalo estas subaro de partorda aro kiu entenas inter komenco kaj fino (komenco kaj fino estas selektata elementoj de aro). |
| lexicalization | epo: intervalo |
| Estonian | |
| Show unreliable ▼ | |
| lexicalization | est: vahemik |
| Basque | |
| has gloss | eus: Matematikan, tartea (erreala) zenbaki errealen multzoa da, propietate hau betetzen duena: tarteko edozein bi zenbakiren artean dagoen zenbakia ere tartearen barnean dago. |
| lexicalization | eus: tarte |
| Show unreliable ▼ | |
| lexicalization | eus: atsedenaldi |
| Persian | |
| has gloss | fas: در هندسه، پاره‌خط به جزئی از خط اطلاق می‌شود که به دو نقطه انتهایی محدود شده، و تمامی نقاط مابین آندو را در بر بگیرد. |
| lexicalization | fas: پاره‌خط |
| Finnish | |
| has gloss | fin: Matematiikassa väli on (osittain tai täysin) järjestetyn joukon osajoukko, jonka alkiot sijaitsevat jonkin kahden kiinteän rajan välillä. |
| lexicalization | fin: väli |
| Show unreliable ▼ | |
| lexicalization | fin: intervalli |
| French | |
| has gloss | fra: En mathématiques, un intervalle (du latin intervallum) est étymologiquement un ensemble compris entre deux valeurs. Cette notion première sest ensuite développée jusquà aboutir aux définitions suivantes. |
| lexicalization | fra: Intervalle |
| Galician | |
| lexicalization | glg: intervalo |
| Hebrew | |
| has gloss | heb: בגאומטריה, קטע הוא קבוצת כל הנקודות על ישר אשר נמצאות בין שתי נקודות שונות (הנקראות קצות הקטע או נקודות הקצה של הקטע), לרבות נקודות הקצה (קטע סגור), למעט שתי נקודות הקצה (קטע פתוח) או לרבות נקודת קצה אחת ולמעט השנייה (קטע סגור למחצה, או פתוח למחצה). |
| lexicalization | heb: קטע |
| Hungarian | |
| has gloss | hun: Az intervallum latin szó, eredetileg közt, közbeeső helyet vagy bármely más közbeeső térbeli vagy időbeli dolgot jelöl. A zenében például intervallum a hangköz. |
| lexicalization | hun: intervallum |
| Indonesian | |
| Show unreliable ▼ | |
| lexicalization | ind: interval |
| Icelandic | |
| has gloss | isl: Bil í stærðfræði eru samhangandi hlutmengi rauntalnaássins, sem afmarkast af tveimur endapunktum, þ.e.jaðarpunktum bilanna. Bil geta verið lokuð, opin eða hálfopin/-lokuð. |
| lexicalization | isl: bil |
| Show unreliable ▼ | |
| lexicalization | isl: millibil |
| Italian | |
| has gloss | ita: In matematica, un intervallo è un sottoinsieme dei numeri reali formato da tutti i punti della retta reale che sono compresi tra due estremi a e b. Gli estremi possono (ma non devono necessariamente) appartenere all'intervallo e possono essere infiniti. |
| lexicalization | ita: intervallo |
| Japanese | |
| has gloss | jpn: 数学において区間（くかん）とは、実数全体の集合 R の部分集合で、ある一つながりの範囲を表すものである。またより一般的に、順序の定められた集合についても区間を考えることができる。 |
| lexicalization | jpn: 区間 |
| Korean | |
| has gloss | kor: 구간은 주어진 두 실수 사이의 모든 수를 원소로 갖는 집합을 의미한다. 이때 양 끝점을 집합에 포함하는 구간을 폐구간, 포함하지 않는 구간을 개구간이라고 한다. 한쪽만 포함하는 경우를 반폐구간, 또는 반개구간이라고 한다. |
| lexicalization | kor: 구간 |
| Latin | |
| has gloss | lat: Intervallum vocatur copia inferior numerorum realium. |
| lexicalization | lat: Intervallum |
| Latvian | |
| has gloss | lav: Intervāls ir visi tie reālie skaitļi, kuri atrodas starp reāliem skaitļiem a un b ieskaitot vai neieskaitot pašus a un b. |
| lexicalization | lav: Intervāls |
| Lithuanian | |
| has gloss | lit: Atkarpa – tiesės dalis, kurią sudaro du nesutampantys tos tiesės taškai (vadinami atkarpos galais) ir visi tarp jų esantys taškai (vadinami atkarpos vidaus taškais). |
| lexicalization | lit: Atkarpa |
| Literary Chinese | |
| has gloss | lzh: 區間者，兩數之間也。 |
| lexicalization | lzh: 區間 |
| Dutch | |
| has gloss | nld: In de wiskunde is een interval een deelverzameling met aaneengesloten elementen van een verzameling waarop een totale ordening is gedefinieerd. Een deelverzameling uit één stuk, zou men kunnen zeggen. De eigenlijke intervallen bestaan uit alle getallen die zich tussen twee gegeven getallen, de eindpunten, bevinden, waarbij elk eindpunt al dan niet meegerekend wordt. Oneigenlijke intervallen zijn deelverzamelingen die slechts aan één zijde begrensd zijn door een eindpunt. |
| lexicalization | nld: interval |
| Norwegian Bokmål | |
| Show unreliable ▼ | |
| lexicalization | nob: mellomrom |
| Norwegian | |
| has gloss | nor: Et intervall er innen matematikk og elementær algebra et utvalg som inneholder alle reelle tall i et område mellom to gitte tall og i noen intervaller også disse tallene selv: |
| lexicalization | nor: intervall |
| Show unreliable ▼ | |
| lexicalization | nor: mellomrom |
| Polish | |
| has gloss | pol: Przedział – zbiór elementów danego zbioru częściowo uporządkowanego, zawartych między dwoma ustalonymi elementami tego zbioru, nazywanymi początkiem i końcem przedziału. |
| lexicalization | pol: przedział |
| Portuguese | |
| has gloss | por: Na álgebra elementar, um intervalo é um conjunto que contém cada número real entre dois extremos indicados, e possivelmente os próprios extremos. Os extremos podem ser números reais como podem ser -\infty\, e +\infty\,. |
| lexicalization | por: intervalo |
| Moldavian | |
| has gloss | ron: Interval este un termen de bază al algebrei şi analizei matematice. Acesta este o mulţime care conţine toate numerele situate între două numere indicate. |
| lexicalization | ron: interval |
| Russian | |
| has gloss | rus: Промежуток, или более точно, промежуток числовой прямой — множество вещественных чисел, обладающее тем свойством, что вместе с любыми двумя числами содержит любое, лежащее между ними . С использованием логических символов, это определение можно записать так: X \subset \mathbbR} — промежуток, если |
| lexicalization | rus: промежуток |
| Slovenian | |
| has gloss | slv: Intervál je v matematiki množica realnih števil, ki ležijo med dvema danima realnima številoma. Ti dve števili imenujemo krajišči. Krajišči sta lahko vključeni v interval ali pa tudi ne. |
| lexicalization | slv: interval |
| Castilian | |
| lexicalization | spa: Intervalo |
| Serbian | |
| lexicalization | srp: интервал |
| Sundanese | |
| has gloss | sun: Dina aljabar dasar, interval (atawa heuleut) hartina hiji kumpulan nu ngandung sakabéh wilangan nyata antara dua wilangan nu disebutkeun, katut, bisa jadi, dua wilangan éta. Notasi interval nyaéta éksprési variabel nu kawengku dina hiji interval; misalna "5 < x < 9". Dumasar kasapukan konvénsi, interval "(10,20)" nunjukkeun sakabéh angka nyata antara 10 jeung 20, teu kaasup 10 atawa 20. Di sisi séjén, interval "[10,20]" ngawengku sakabéh awilangan nyata antara 10 jeung 20 katut angka 10 jeung 20. Kamungkinan lianna dibéréndélkeun di handap. |
| lexicalization | sun: Interval |
| Swedish | |
| lexicalization | swe: intervall |
| Show unreliable ▼ | |
| lexicalization | swe: mellanakt |
| Ukrainian | |
| has gloss | ukr: Інтерва́л (рос. интервал, англ. interval, нім. Zwischenraum m, Abstand m; Bereich m, Zone f, Intervall n) — в математиці, концепція відносно належності або майже-належності чисел до послідовності. Сукупність усіх чисел (або точок), що містяться між двома даними числами а та b (або точками), яка не включає їх. |
| lexicalization | ukr: інтервал |
| Vietnamese | |
| has gloss | vie: Trong toán học, khoảng là một khái niệm liên quan đến dãy và tích thuộc về tập hợp của một hoặc nhiều số. |
| lexicalization | vie: khoảng |
| Kalmyk | |
| has gloss | xal: Завср гидг бәәлһн тойгин олн тиим шинҗлгта: ямаран болв чигн хойр тойг завср нертә олн болад, ямаран болв чигн тойг тер хойр тойгин загт завсрд бәәдг. |
| lexicalization | xal: завср |
| Chinese | |
| has gloss | zho: 在數學上，區間是一個關於數列和集的概念。 |
| lexicalization | zho: 區間 |
| Links | |
|---|---|
| similar | e/Interval (mathematics) |
| Show unreliable ▼ | |
| similar | e/simple/Interval (mathematics) |
| similar | e/simple/Template:Infobox interval |
| similar | e/simple/Template:Infobox intervals |
| Media | |
|---|---|
| media:img | Adcinak.svg |
| media:img | Atkarpa.svg |
| media:img | Interval.png |
| media:img | Intervalo.png |
| media:img | Segmento-definicion.png |
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