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Tropical Generalized Interval Systems

2019
This paper aims to refine the formalization of David Lewin’s Generalized Interval System (GIS) by the means of tropical semirings. Such a new framework allows to broaden the GIS model introducing a new operation and consequently new musical and conceptual insights and applications, formalizing consistent relations between musical elements in an ...
Giovanni Albini, Marco Paolo Bernardi
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Confidence Intervals for the Generalized ROC Criterion

Biometrics, 1997
Receiver operating characteristic (ROC) curves are frequently used to assess the usefulness of diagnostic markers. When several diagnostic markers are available, they can be combined by a best linear combination: that is, when the area under the ROC curve of this combination is maximized among all possible linear combinations.
Reiser, Benjamin, Faraggi, David
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A generalized interval arithmetic

1975
We have introduced and illustrated a generalized interval analysis which reduces the inherent lack of sharpness of o.i.a. to a second order effect. Our method may not be useful if second order quantities are not truly negligible. Moreover, our method is of little value if the original data for a problem is real rather than intervals of non-zero width.
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Generators of nanosecond intervals

Instruments and Experimental Techniques, 2006
Block diagrams of two high-stability scanning time-interval generators that can be used to automate tuning and testing of relative-time actuation channels in particle detectors are described. The first generator has the following performance characteristics: an operation range of 0–255 ns, a scan step of 1 ns, and a maximum error of ±0.5 ns. This error
A. F. Yanin, I. M. Dzaparova
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The Generality of the Retention Interval Model

The Journal of General Psychology, 1983
Elaborations and refinements were made for core constructs of the retention interval (RI) model that specified a major difference between anticipation and study-test methods to be short-term memory (STM) processes in differential retention intervals. Subsequent developments reinforce the model and suggest that basic processes per each type of event are,
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Generating fuzzy intervals using gradual intervals and gradual numbers

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalized interval entropy

Communications in Statistics - Theory and Methods, 2019
Recently, the concept of generalized entropy has been widely studied in the literature of information theory for left and right truncated random variables.
Chanchal Kundu, Shivangi Singh
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Interval Cloud Model and Interval Cloud Generator

2010 Second WRI Global Congress on Intelligent Systems, 2010
Cloud model is an effective tool in uncertain trans-forming between qualitative concepts and their quantitative expressions. The cloud model is extensively studied presently and the research on interval cloud model does not exist. Compared to the cloud model, interval cloud model has extensive exist in daily life and owns merits to represent numerical ...
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Interval choice: classic and general cases

Mathematical Social Sciences, 1993
This paper surveys known results on interval choice, and presents new results on biorders. A binary relation \(P\) is a biorder if and only if there exist functions \(f\) and \(g\) such that \(xPy\) if and only if \(f(x)> g(y)\). A complete characterization of biorders in terms of numerical representation and rationality conditions is given.
Agaev, Rafig, Aleskerov, Fuad
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Generalizing Musical Intervals

Journal of Music Theory, 2009
Taking David Lewin's work as a point of departure, this essay uses geometry to reexamine familiar music-theoretical assumptions about intervals and transformations. Section 1 introduces the problem of “transportability,” noting that it is sometimes impossible to say whether two different directions—located at two different points in a geometrical space—
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