Search Results - "Engel, Konrad"
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An Identity Theorem for the Fourier–Laplace Transform of Polytopes on Nonzero Complex Multiples of Rationally Parameterizable Hypersurfaces
Published in Discrete & computational geometry (2023)“…A set S of points in R n is called a rationally parameterizable hypersurface if there is vector function σ : R n - 1 → R n having as components rational…”
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Integration over facet-simple polytopes
Published in Beiträge zur Algebra und Geometrie (23-04-2024)“…We present an elementary approach for the computation of integrals of the form $$\int _{\mathcal {P}} f^{(n)}(\textbf{s} \cdot \textbf{x})\,\textbf{dx}$$ ∫ P f…”
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Bandwidth of Graphs Resulting from the Edge Clique Covering Problem
Published in The Electronic journal of combinatorics (21-12-2018)“…Let $n,k,b$ be integers with $1 \le k-1 \le b \le n$ and let $G_{n,k,b}$ be the graph whose vertices are the $k$-element subsets $X$ of $\{0,\dots,n\}$ with…”
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Does the signal contribution function attain its extrema on the boundary of the area of feasible solutions?
Published in Chemometrics and intelligent laboratory systems (15-01-2020)“…The signal contribution function (SCF) was introduced by Gemperline in 1999 and Tauler in 2001 in order to study band boundaries of multivariate curve…”
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Reconstruction of cell-electrode-adjacencies on multielectrode arrays
Published in Journal of computational neuroscience (01-12-2014)“…The multichannel recordings of signals of many cells cultivated on a multielectrode array (MEA) impose some challenging problems. A meanwhile classic problem…”
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A dose optimization method for electron radiotherapy using randomized aperture beams
Published in Physics in medicine & biology (07-09-2009)“…The present paper describes the entire optimization process of creating a radiotherapy treatment plan for advanced electron irradiation. Special emphasis is…”
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Partition into almost straight trails
Published in Discrete Applied Mathematics (30-01-2014)“…Let G=(V,E) be a graph that is embedded in the plane, i.e. V is a finite vertex set of points in the plane and the edge set E is represented as a set of…”
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Recursive least squares with linear inequality constraints
Published in Optimization and engineering (01-03-2015)“…A new recursive algorithm for the least squares problem subject to linear equality and inequality constraints is presented. It is applicable for problems with…”
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A new algorithm for optimal multileaf collimator field segmentation
Published in Discrete Applied Mathematics (01-11-2005)“…We present a new efficient leaf sequencing algorithm for the generation of intensity maps by a nonnegative combination of segments. Intensity maps describe the…”
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Optimal matrix-segmentation by rectangles
Published in Discrete Applied Mathematics (06-05-2009)“…We study the problem of decomposing a nonnegative matrix into a nonnegative combination of 0-1-matrices whose ones form a rectangle such that the sum of the…”
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Projection inequalities for antichains
Published in Israel journal of mathematics (01-07-2020)“…Let n be an integer with n ≥ 2. A set A ⊆ ℝ n is called an antichain (resp. weak antichain) if it does not contain two distinct elements x = ( x 1 , …, x n )…”
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Incremental Network Design with Minimum Spanning Trees
Published in Journal of graph algorithms and applications (01-02-2017)“…Given an edge-weighted graph $G=(V,E)$ and a set $E_0\subset E$, the incremental network design problem with minimum spanning trees asks for a sequence of…”
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Comparison of electron IMRT to helical photon IMRT and conventional photon irradiation for treatment of breast and chest wall tumours
Published in Radiotherapy and oncology (01-03-2010)“…Abstract Background and purpose Conventional irradiation of breast and chest wall tumours may cause high doses in underlying organs. Intensity-modulated…”
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Solution of a problem on non-negative subset sums
Published in European journal of combinatorics (01-08-2012)“…Let n and r be positive integers with 1≤r≤n−1. Solving a problem of Chiaselotti–Marino–Nardi, which is a generalization of a problem of Manickam and Miklós, we…”
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Approximated matrix decomposition for IMRT planning with multileaf collimators
Published in OR Spectrum (2011)“…A standard problem in intensity modulated radiation therapy is the representation of a given intensity matrix, i.e. a matrix of nonnegative integers, as a…”
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Automatic Actin Filament Quantification of Osteoblasts and Their Morphometric Analysis on Microtextured Silicon-Titanium Arrays
Published in Materials (01-07-2012)“…Microtexturing of implant surfaces is of major relevance in the endeavor to improve biorelevant implant designs. In order to elucidate the role of…”
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An identity theorem for the Fourier transform of polytopes on rationally parameterisable hypersurfaces
Published 29-07-2020“…Discrete & Computational Geometry 2022 A set $\mathcal{S}$ of points in $\mathbb{R}^n$ is called a rationally parameterisable hypersurface if…”
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The Dilworth Number of Auto-Chordal Bipartite Graphs
Published in Graphs and combinatorics (01-09-2015)“…The mirror (or bipartite complement ) mir ( B ) of a bipartite graph B = ( X , Y , E ) has the same color classes X and Y as B , and two vertices x ∈ X and y ∈…”
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