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Definition of Sub-interval
1. Noun. An interval that is included in another interval.
Lexicographical Neighbors of Sub-interval
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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