Zatvoreni interval realnih brojeva

Skraćeni oblik: zatvoreni interval

Definicija: interval koji sadržava krajnje elemente

Napomena: Kada se kaže samo "zatvoreni interval", u pravilu se misli na zatvoreni interval u skupu realnih brojeva, iako je uporaba naziva puno šira.

Dopušteni nazivi: segment

Simbol: \([a,b]\)

Engleske istovrijednice: closed interval, segment

Struna ID: 29994

Obrađivač: Nenad Antonić

Faza obrade: zaključaj naziv

Vrsta riječi: imenica Rod: muški Broj: jednina

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Cilj projekta "Hrvatsko nazivlje u matematici" je na jednom mjestu prikupiti i obraditi sve hrvatske nazive koji na izravan ili neizravan način imaju veze s matematikom. Ako želite na bilo koji način doprinijeti ostvarenju ciljeva ovog projekta, molim javite se voditelju projekta na adresu goran.igaly@math.hr

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Traženi pojmovi

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WMW naziv: closed interval

WMW klasifikacija: Geometry > Line Geometry > Ranges >

WMW definicija: An interval is a connected portion of the real line. If the endpoints \(a\) and \(b\) are finite and are included, the interval is called closed and is denoted \([a,b]\). If the endpoints are not included, the interval is called open and denoted \((a,b)\). If one endpoint is included but not the other, the interval is denoted \([a,b)\) or \((a,b]\) and is called a half-closed (or half-open interval).

WMW napomena: If one of the endpoints is \(\pm \infty\), then the interval still contains all of its limit points, so \([a,\infty)\) and \((-\infty,b]\) are also closed intervals. Intervals involving infinity are also called rays or half-lines. If the finite point is included, it is a closed half-line or closed ray. If the finite point is not included, it is an open half-line or open ray.

Izvor: Weisstein, Eric W. "Interval." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Interval.html

Struna ID: 29994