Artikler, rapporter og annet (matematikk og statistikk): Nye registreringer
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Automatic nematode detection in cod fillets (Gadus morhua L.) by hyperspectral imaging
(Journal article; Tidsskriftartikkel; Peer reviewed, 2012)Detection of objects embedded in tissue, using visible light, is difficult due to light scattering. The optical properties of the surrounding tissue will influence the spectral characteristics of the light interacting with the object, and the spectral signature observed from the object will be directly affected. A method for calibrating the spectral signature of small objects, embedded in translucent ... -
Pairwise scale space comparison of time series with application to climate research
(Journal article; Tidsskriftartikkel; Peer reviewed, 2012)In this paper, we study how sea surface temperature variations in the North Atlantic and the Norwegian Sea are correlated with the climate in the Northern Hemisphere in late Holocene. The analysis is performed by testing statistical hypotheses through novel scale space methodologies. In late Holocene, the proposed techniques reveal that the climate development in the subpolar North Atlantic has been ... -
Automatic Segmentation of Dermoscopic Images by Iterative Classification
(Journal article; Tidsskriftartikkel; Peer reviewed, 2011)Accurate detection of the borders of skin lesions is a vital first step for computer aided diagnostic systems. This paper presents a novel automatic approach to segmentation of skin lesions that is particularly suitable for analysis of dermoscopic images. Assumptions about the image acquisition, in particular, the approximate location and color, are used to derive an automatic rule to select small ... -
Thousand years of winter surface air temperature variations in Svalbard and northern Norway reconstructed from ice-core data
(Journal article; Tidsskriftartikkel; Peer reviewed, 2011)Two isotopic ice core records from western Svalbard are calibrated to reconstruct more than 1000 years of past winter surface air temperature variations in Longyearbyen, Svalbard, and Vardø, northern Norway. Analysis of the derived reconstructions suggests that the climate evolution of the last millennium in these study areas comprises three major sub-periods. The cooling stage in Svalbard (ca. ... -
Scale Space Methods for Analysis of Type 2 Diabetes Patients' Blood Glucose Values
(Journal article; Tidsskriftartikkel; Peer reviewed, 2011)We describe how scale space methods can be used for quantitative analysis of blood glucose concentrations from type 2 diabetes patients. Blood glucose values were recorded voluntarily by the patients over one full year as part of a self-management process, where the timeand frequency of the recordings are decided by the patients. This makes a unique datasetin its extent, though with a large variation ... -
Matematisk kulturhistorie : artikkelsamling
(Book; Bok, 2002-08) -
A stochastic theory for temporal fluctuations in self-organized critical systems
(Journal article; Tidsskriftartikkel; Peer reviewed, 2008) -
Finite Larmor radius influence on MHD solitary waves
(Journal article; Tidsskriftartikkel; Peer reviewed, 2009) -
Vanishing of the entropy pseudonorm for certain integrable systems
(Journal article; Tidsskriftartikkel; Peer reviewed, 2006) -
A propagation-separation approach to estimate the autocorrelation in a time-series
(Journal article; Tidsskriftartikkel; Peer reviewed, 2008) -
Bayesian modeling and significant features exploration in wavelet power spectra
(Journal article; Tidsskriftartikkel; Peer reviewed, 2007) -
DeltaProt : a software toolbox for comparative genomics
(Journal article; Tidsskriftartikkel; Peer reviewed, 2010) -
Nijenhuis tensors in pseudoholomorphic curves neighborhoods
(Working paper; Arbeidsnotat, 2000)In this paper we consider the normal forms of almost complex structures in a neighborhood of pseudoholomorphic curve. We define normal bundles of such curves and study the properties of linear bundle almost complex structures. We describe 1-jet of the almost complex structure along a curve in terms of its Nijenhuis tensor. For pseudoholomorphic tori we investigate the problem of pseudoholomorphic ... -
Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method
(Journal article; Tidsskriftartikkel; Peer reviewed, 2007-12-20)Many methods for reducing and simplifying differential equations are known. They provide various generalizations of the original symmetry approach of Sophus Lie. Plenty of relations between them have been noticed and in this note a unifying approach will be discussed. It is rather close to the differential constraint method, but we make this rigorous basing on recent advances in compatibility ... -
Strictly non-proportional geodesically equivalent metrics have htop(g) = 0
(Journal article; Tidsskriftartikkel; Peer reviewed, 2004-10-24)If a closed manifold M possesses two Riemannian metrics which have the same unparameterized geodesics and are not strictly proportional at each point, then the topological entropy of both geodesic flows is zero. This is the main result of the paper and it has many dynamical and topological corollaries. In particular, such a manifoldM should be finitely covered by the product of a rationally ... -
Invariants and submanifolds in almost complex geometry
(Chapter; Bokkapittel, 2007-12-20)In this paper we describe the algebra of differential invariants for GL(n,C)-structures. This leads to classification of almost complex structures of general positions. The invariants are applied to the existence problem of higher-dimensional pseudoholomorphic submanifolds. -
The Kobayashi pseudodistance on almost complex manifolds
(Working paper; Arbeidsnotat, 1997-03-06)We extend the definition of the Kobayashi pseudodistance to almost complex manifolds and show that its familiar properties are for the most part preserved. We also study the automorphism group of an almost complex manifold and finish with some examples. -
Anomaly of linearization and auxiliary integrals
(Chapter; Bokkapittel, 2007-12-20)In this note we discuss some formal properties of universal linearization operator, relate this to brackets of non-linear differential operators and discuss application to the calculus of auxiliary integrals, used in compatibility reductions of PDEs. -
Examples of integrable sub-Riemannian geodesic flows
(Journal article; Tidsskriftartikkel; Peer reviewed, 2001-10-22)We exhibit examples of sub-Riemannian metrics with integrable geodesic flows and positive topological entropy. -
Existence of close pseudoholomorphic disks for almost complex manifolds and an applications to Kobayashi-Royden pseudonorm
(Journal article; Tidsskriftartikkel; Peer reviewed, 2000-02-23)It is proved in the paper that near every pseudoholomorphic disk on an almost complex manifold a disk of almost the same size in any close direction passes. As an application the Kobayashi-Royden pseudonorm for almost complex manifolds is defined and studied.