Definition of Closed interval

1. Noun. An interval that includes its endpoints.

Exact synonyms: Bounded Interval
Generic synonyms: Interval
Antonyms: Open Interval



Closed Interval Pictures

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Lexicographical Neighbors of Closed Interval

closed couplet
closed curve
closed cut valley
closed dislocation
closed door
closed drainage
closed form
closed fracture
closed game
closed games
closed gentian
closed head injury
closed hospital
closed in
closed in(p)
closed interval (current term)
closed loop
closed matte
closed primary
closed reading frame
closed reduction
closed reduction of fractures
closed session
closed set
closed shop
closed skull fracture
closed source
closed surgery
closed syllable
closed syllables

Literary usage of Closed interval

Below you will find example usage of this term as found in modern and/or classical literature:

1. Proceedings of the London Mathematical Society by London Mathematical Society (1908)
"By the Heine-Borel theorem a finite number of these intervals suffice to cover every point of the range of x, provided that range is a closed interval or ..."

2. A Course in Mathematical Analysis by Édouard Goursat, Earle Raymond Hedrick (1904)
"In order that a function be finite in a closed interval (a, b) it is not sufficient that it should have a finite value for every value of x. ..."

3. Introduction to the Theory of Analytic Functions by James Harkness, Frank Morley (1898)
"This interval may be called the closed interval (a, ß) ; closed, because the interval contains both extremities a and ß. Within the closed interval (a, ..."

4. Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw (1921)
"Since the terms of the series are continuous in the closed interval (a, b), there are positive numbers ,^ and >j.,, say, such that \Sm(x)-Sm(a) <^ ..."

5. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"The closed interval (a, 6) is a continuum, since it satisfies the two necessary- conditions for the applicability of the term; but the open interval (a, ..."

6. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"The players alternate moves, a move consisting of selecting a closed interval inside the previously chosen interval. The players determine a nested ..."

7. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2000)
"Player (A) first selects a closed interval Ii CR; then player (B) chooses a closed interval /2 C Ii. The players alternate moves, a move consisting of ..."

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