Browsing Matematisk institutt by Title
Now showing items 2806-2825 of 3770
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(Research report / Forskningsrapport, 2002)For stochastic functions over the product of a general space and a time interval, the standard type non-anticipating integration scheme is applied with respect to the stochastic measures with independent values. In this ...
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(Research report / Forskningsrapport, 2006)The non-anticipating stochastic derivative represents the integrand in the best L2-approximation for any random variables by the Itô non-anticipating integrals with respect to a general stochastic measure with independent ...
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(Research report / Forskningsrapport, 2004)We consider a general version of the Skorohod integral and of the Malliavin derivative with respect to the Lévy stochastic measures on general topological spaces. The integral operator is introduced as a limit of appropriate ...
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(Research report / Forskningsrapport, 1992)
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(Doctoral thesis / Doktoravhandling, 2016)
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(Research report / Forskningsrapport, 1968)
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(Master thesis / Masteroppgave, 2023)
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(Master thesis / Masteroppgave, 2015)The first part of the thesis concerns the problem of ranking in general. We take a closer look at the two ranking methods; Elo rating and Colley rating. The former is used to rate and rank chess players, whereas the latter ...
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(Master thesis / Masteroppgave, 2014)
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(Research report / Forskningsrapport, 1994)
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(Research report / Forskningsrapport, 1993)
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(Master thesis / Masteroppgave, 2008)A classical problem in algebraic geometry is the question of how many and what kind of singularities a plane curve of a given degree can have. In this thesis we investigate this problem for rational curves where all the ...
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(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2021)Rational quartic spectrahedra in 3-space are semialgebraic convex subsets in R3 of semidefinite, real symmetric (4×4)-matrices, whose boundary admits a rational parameterization. The Zariski closure in CP3 of the boundary ...
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(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)We classify rational, irreducible quartic symmetroids in projective 3-space. They are either singular along a line or a smooth conic section, or they have a triple point or a tacnode.
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(Master thesis / Masteroppgave, 2016)The study of generic quartic symmetroids in projective 3-space dates back to Cayley, but little is known about the special specimens. This thesis sets out to survey the possibilities in the non-generic case. We prove that ...
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(Doctoral thesis / Doktoravhandling, 2023)Solving equations has always been one of the core areas of mathematics. One important class of equations are so-called polynomial equations. These appear naturally in a broad collection of fields, such as number theory, ...
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(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)Abstract The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein, and Hilbert in the 19th century; in particular, the isotopy-type classification of real algebraic curves ...
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(Research report / Forskningsrapport, 1995)
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(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2022)We introduce the notion of real phase structure on rational polyhedral fans in Euclidean space. Such a structure consists of an assignment of affine spaces over to each top-dimensional face of the fan subject to two ...
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(Research report / Forskningsrapport, 1979)