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Detection, Classification, and Measurement of Discontinuities
The detection, classification, and measurement of discontinuities from sampled noisy data of a function are studied. A function has a discontinuity of degree k at a point, if the kth-order left and right derivatives at that point are different. The difference is the size of the discontinuity. Discontinuities are classified by their degrees and measured
David Lee
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On the classification of discontinuities by the pattern recognition methods
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Evgenii V. Vorozhtsov
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Thermal classification of lithospheric discontinuities beneath USArray
Abstract Broadband seismic data from the United States were processed into P s and S p receiver function image volumes for the purpose of constraining negative velocity gradients (NVG) at depths between the Moho and 200 km. Moho depth picks from the two independent datasets are in good agreement, however, large discrepancies
Steven M. Hansen +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
И. Б. Бахолдин
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On the Baire classification of discontinuity points of real functions of one variable
В РАБОтЕ НАИДЕНы НЕОБ хОДИМыЕ И ДОстАтОЧНы Е УслОВИь НА МНОжЕстВА тОЧЕк R, ЧтОБ ы ОНИ ьВльлИсь сООтВЕтстВ УУЩИМИ МНОжЕстВАМИ т ОЧЕк РАжРыВА ДЕИстВИтЕльНОИ НАR Ф УНкцИИf(x). РЕжУльтАт пЕРЕНОсИт сь НА сЕпАРАБЕльНыЕ п ОлНыЕ МЕтРИЧЕскИЕ пРОстРА НтВА БЕж ИжОлИРОВАНН ых тОЧЕк.
М. А. Лунина
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Is Detecting Discontinuity Difficult? Evidence from the Visual Trend Classification of Scatterplots
Abstract Visualization of data comes with the promise that even unexpected aspects of the data can be detected. For instance, viewers might discover that patterns in a scatterplot follow a non-linear trend. Using two experiments, we examined whether and when scatterplots depicting different types of mathematical functions are classified ...
Christine Blech +3 more
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TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS
This paper proposes a strategy for the classification of codimension-two discontinuity-induced bifurcations of limit cycles in piecewise smooth systems of ordinary differential equations. Such nonsmooth transitions (also known as C-bifurcations) occur when the cycle interacts with a discontinuity boundary of phase space in a nongeneric way, such as ...
KOWALCZYK P +7 more
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Tzeltal Folk Zoology: The Classification of Discontinuities in Nature
Man, 1979Michelle Z. Rosaldo, Eugene S. Hunn
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Tri-Directional Decoder for Edge Discontinuity Classification
Extracting and exploiting edge information is important for various computer vision tasks. According to the physical characteristics, edges are further categorized into reflectance, illumination, normal, and depth discontinuities.
Jiayue Wang +4 more
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