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bounded interval


  • WordNet 3.6
    • n bounded interval an interval that includes its endpoints
    • ***


In literature:

A little interval had to be left between them, and they were bound together by transverse beams, which assured the solidity of the whole.
"Eight Hundred Leagues on the Amazon" by Jules Verne
They were bound with a hoop; and had either the figures of Dolphins, or else foliage in the intervals between them.
"A New System; or, an Analysis of Antient Mythology. Volume II. (of VI.)" by Jacob Bryant
The rushes are laid close together side by side and bound together at long intervals by cords intertwined across.
"Prehistoric Textile Art of Eastern United States" by William Henry Holmes
No matter how far apart or how near he planned the intervals, he was bound to coincide with the deafening horn.
"The Flaw in the Sapphire" by Charles M. Snyder
At intervals they were anchored to bunches of piles driven deep, and bound at the top.
"The Adventures of Bobby Orde" by Stewart Edward White
He was up with the chickens, and invariably took a long afternoon nap, so that, during the night, there was bound to be a wakeful interval.
"At the Sign of the Jack O'Lantern" by Myrtle Reed
An interval of six rods, and a wild hog, six feet long, bounding over it with clashing jaws!
"Golden Days for Boys and Girls" by Various
Yet, after an interval of infinite wretchedness, Donald recalled his vigors, and shook off the lethargy that had bound his spirit.
"The Wilderness Trail" by Frank Williams
During this interval, Lavinia sat spell-bound with fear, but Babs was too busy poking twigs in the embers to notice her sister's white face.
"Five Little Starrs in the Canadian Forest" by Lillian Elizabeth Roy

In science:

There are therefore two open intervals on the curve that are bounded by a minimal sextactic point and an inflection point.
Sextactic points on a simple closed curve
The reason for the discontinuity of Fuglede–Kadison determinant is that the logarithm is not bounded from below on any interval [0, t].
Random regularization of Brown spectral measure
Since we are integrating over an interval of length bounded by a constant times log n, it is more than sufficient for the speed of convergence to the stable density to be of order log2 n/n, see Theorem B.1.
Harmonic mean, random polynomials and stochastic matrices
The chosen error limits are rather conservative, and, hence, the true asymptotic value of v6 is certain to lie within the interval bounded by Eq. (7).
Nonlinear susceptibilities of a weakly-disordered uniaxial ferromagnet in the critical region
We construct non-random bounded discrete half-line Schr¨odinger operators which have purely singular continuous spectral measures with fractional Hausdorff dimension (in some interval of energies).
Sparse Potentials With Fractional Hausdorff Dimension
The aim of this paper is to construct a (non-random) bounded potential V such that these measures are purely singular continuous and have fractional (not 0 or 1) Hausdorff dimension in some interval of energies.
Sparse Potentials With Fractional Hausdorff Dimension
This will not affect the validity of the results because on any closed interval I ⊂ (0, π) of k ’s (and we consider only such) the function 2 cos(k) is C 1 with bounded non-zero derivative.
Sparse Potentials With Fractional Hausdorff Dimension
Evidence supporting this connection is weakened by the broad interval between the bounds provided by the SSS and WF approximations.
Non-Gaussian dynamics from a simulation of a short peptide: Loop closure rates and effective diffusion coefficients
Also, since dom U is a prefix-free set, the function family {Sp} satisfies an open set condition in the sense that there exists a non-empty bounded open set V (i.e., the open interval (0, 1)) such that V ⊃ Sp Sp(V ) and Sp(V ) ∩ Sq (V ) = φ (p 6= q).
A Generalization of Chaitin's Halting Probability \Omega and Halting Self-Similar Sets
Namely, the spectral pro jections {Eω (λ)}ω onto the interval ]−∞, λ[ of a random operator {Hω }ω form a bounded random operator.
Integrated density of states for random metrics on manifolds
ELn ≤ ERn (= U [0, log n]) but also come to the conclusion that the number of component intervals of [0, log n] \ R which contain no Ej ’s, j ≤ n, remains bounded as n → ∞.
Bernoulli Sieve
Behind de finition (3-4) are the hypotheses (i-iv), namely, that with respect to (x, t), the function F does not depend explicitly on t, the dynamics is well de fined for t in the interval [0, ∞), and the invariant set is bounded and has finite natural measure .
Relativistic chaos is coordinate invariant
The hyperfine structure in hydrogen, helium-ion and positronium allows, under some conditions, to perform an accurate test of bound state QED and in particular to study some higher-order corrections which are also important for calculating the muonium hyperfine interval.
Simple Atoms, Quantum Electrodynamics and Fundamental Constants
Comparison of bound QED and nuclear corrections to the 1s hyperfine interval.
Simple Atoms, Quantum Electrodynamics and Fundamental Constants
Moreover, the operator norm of Mλ is bounded by a constant Csλ, which is uniform for λ in each compact interval in (0, +∞).
Generalized eigenfunctions of relativistic Schroedinger operators I