Definition of Sub-interval

1. Noun. An interval that is included in another interval.

Generic synonyms: Interval

Lexicographical Neighbors of Sub-interval

sub-
sub-Saharan
sub-Saharan Africa
sub-atomic
sub-brown dwarf
sub-brown dwarfs
sub-categories
sub-category
sub-clinical
sub-deacon
sub-deacons
sub-discipline
sub-excavation
sub-interval (current term)
sub-lieutenant
sub-lieutenants
sub-light
sub-page
sub-par
sub-prime
sub-rectangular
sub-rosa
sub-standard
sub-surface
sub-system
sub-systems
sub-test
sub-zero

Literary usage of Sub-interval

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

1. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"If, in every sub-interval (a, 6') of the interval in which G exists, ... A set which is e very where-dense in its interval, or in any sub-interval, ..."

2. Proceedings of the London Mathematical Society by London Mathematical Society (1907)
"Let Dm denote the greatest value of the fluctuation of f(x) in a sub-interval of length тг/т contained in the interval (а— м, ..."

3. An Introduction to the Theory of Infinite Series by Thomas John I'Anson Bromwich (1908)
"Suppose that an interval has the property that round every point P of the interval we can mark off a sub-interval such that the inequality \(J, ..."

4. An Elementary Treatise on the Calculus: With Illustrations from Geometry by George Alexander Gibson (1901)
"Now multiply each sub-interval by the value of F(x) at the beginning of that sub-interval and add the n products. We get the sum + F(xn.-l)(b-xn-1) . ..."

5. The Cambridge Colloquium: 1916 by Griffith Conrad Evans, Oswald Veblen (1918)
"... above inequality, this expression is where 5 is the maximum length of any sub-interval, and co8 is the maximum oscillation of <p(x) in any sub-interval. ..."

6. The Cambridge Colloquium: 1916 by Griffith Conrad Evans, Oswald Veblen (1918)
"... this expression is nH where 5 is the maximum length of any sub-interval, and Wj is the maximum oscillation of <p(x) in any sub-interval. ..."

7. The Cambridge Colloquium 1916 by Griffith Conrad Evans, Oswald Veblen (1918)
"... where 6 is the maximum length of any sub-interval, ... is the maximum oscillation of <p(x) in any sub-interval. Hence we have the inequality (16) r n+1 ..."

8. Infinitesimal Analysis by William Benjamin Smith (1898)
"... infinite in number in a finite sub-interval ; in that case the integral loses all meaning for such sub-interval. 259. Infinite Integrands (continued). ..."

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