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TOPOLOGIES GENERATED BY CLOSED INTERVALS
, 2005
"... If 〈L, < 〉 is a dense linear ordering without end points and A and B disjoint dense subsets of L, then the topology OAB on the set L generated by closed intervals [a, b], where a ∈ A and b ∈ B, is finer than the standard topology, O<, generated by all open intervals and 〈L, OAB〉 is a GOspac ..."
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Cited by 1 (1 self)
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If 〈L, < 〉 is a dense linear ordering without end points and A and B disjoint dense subsets of L, then the topology OAB on the set L generated by closed intervals [a, b], where a ∈ A and b ∈ B, is finer than the standard topology, O<, generated by all open intervals and 〈L, OAB〉 is a GO
1. DEFINITION OF CLOSED INTERVAL AND ITS PROPERTIES
"... Summary. This article introduces the Riemann definite integral on the closed interval of real. We present the definitions and related lemmas of the closed interval. We formalize the concept of the Riemann definite integral and the division of the closed interval of real, and prove the additivity of ..."
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Summary. This article introduces the Riemann definite integral on the closed interval of real. We present the definitions and related lemmas of the closed interval. We formalize the concept of the Riemann definite integral and the division of the closed interval of real, and prove the additivity
Asymptotic Confidence Intervals for Indirect Effects in Structural EQUATION MODELS
 IN SOCIOLOGICAL METHODOLOGY
, 1982
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Structure of the Set of Belief Functions Generated by a Random Closed Interval
"... Abstract—Geometrical and topological properties of the set of all belief functions generated by a random closed interval are studied. It is shown that this set is a metrizable (noncompact) simplex and its extreme points are completely characterized. ..."
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Abstract—Geometrical and topological properties of the set of all belief functions generated by a random closed interval are studied. It is shown that this set is a metrizable (noncompact) simplex and its extreme points are completely characterized.
On the Decomposition of a Bounded Closed Interval of the Real Line into Closed Sets
, 2013
"... Copyright © 2013 Edgar A. Cohen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. It has been shown by Sierpinski that a compact, Haus ..."
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, Hausdorff, connected topological space (otherwise known as a continuum) cannot be decomposed into either a finite number of two or more disjoint, nonempty, closed sets or a countably infinite family of such sets. In particular, for a closed interval of the real line endowed with the usual topology, we see
Using confidence intervals in withinsubject designs
 PSYCHONOMIC BULLETIN & REVIEW
, 1994
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New results in linear filtering and prediction theory
 Trans. ASME, Ser. D, J. Basic Eng
, 1961
"... A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary sta ..."
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Cited by 585 (0 self)
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A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary
NORMCLOSED INTERVALS OF NORMCOMPLETE ORDERED ABELIAN GROUPS
, 2005
"... Abstract. Let (G, u) be an Archimedean normcomplete dimension group with orderunit. Continuing a previous paper, we study intervals (i.e., nonempty upward directed lower subsets) of G which are closed with respect to the canonical norm of (G, u). In particular, we establish a canonical onetoone ..."
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Abstract. Let (G, u) be an Archimedean normcomplete dimension group with orderunit. Continuing a previous paper, we study intervals (i.e., nonempty upward directed lower subsets) of G which are closed with respect to the canonical norm of (G, u). In particular, we establish a canonical one
A Spatial Logic based on Regions and Connection
 PROCEEDINGS 3RD INTERNATIONAL CONFERENCE ON KNOWLEDGE REPRESENTATION AND REASONING
, 1992
"... We describe an interval logic for reasoning about space. The logic simplifies an earlier theory developed by Randell and Cohn, and that of Clarke upon which the former was based. The theory supports a simpler ontology, has fewer defined functions and relations, yet does not suffer in terms of its us ..."
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Cited by 736 (32 self)
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We describe an interval logic for reasoning about space. The logic simplifies an earlier theory developed by Randell and Cohn, and that of Clarke upon which the former was based. The theory supports a simpler ontology, has fewer defined functions and relations, yet does not suffer in terms of its
Least squares quantization in pcm
 IEEE Transactions on Information Theory
, 1982
"... AbstractIt has long been realized that in pulsecode modulation (PCM), with a given ensemble of signals to handle, the quantum values should be spaced more closely in the voltage regions where the signal amplitude is more likely to fall. It has been shown by Panter and Dite that, in the limit as th ..."
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Cited by 1358 (0 self)
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AbstractIt has long been realized that in pulsecode modulation (PCM), with a given ensemble of signals to handle, the quantum values should be spaced more closely in the voltage regions where the signal amplitude is more likely to fall. It has been shown by Panter and Dite that, in the limit
Results 1  10
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1,369,191