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Open Interval

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open interval [′ō·pən ′in·tər·vəl]
(mathematics)
An open interval of real numbers, denoted by (a,b), consists of all numbers strictly greater thanaand strictly less thanb.
Open Interval 

the set of points between two given points. In other words, if a and b are the coordinates of the two given points, then the set of points having coordinates x such that a ≤ x ≤ b is an open interval. An open interval does not contain its end points and is denoted by (a, b). In contrast, the closed interval [a, b] contains its end points and consists of the points having coordinates x such that a ≤ x ≤ b.
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The largest and smallest elements of the open interval (0,1) are 0.
SOME IMPORTANT INFORMATION ABOUT THE NEW REAL NUMBER SYSTEM by E. E. Escultura / Biological sciences community
Introduction Assume that X is a normed space over a scalar field K and that I is an open interval, where K denotes either R or C.
On the Hyers-Ulam stability of a system of Euler differential ... by Jung, Soon-Mo; Kim, Byungbae; Rassias, Themistocles M. / Tamsui Oxford Journal of Mathematical Sciences
] \ B is itself a collection of open intervals ('boxes') which accumulate in some way the points of U ('balls'), hence we can define a nonnegative sequence of counts of 'balls-in-boxes' Z := (Z(i) : i [member of] N) which starts with some positive number [Z.
Small parts in the Bernoulli sieve by Gnedin, Alexander; Iksanov, Alex; Roesler, Uwe / DMTCS Proceedings
 
 
 
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