Searched for: subject%3A%22polynomial%22
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Jain, A. (author), Marykovskiy, Yuriy (author), Metrikine, A. (author), van Dalen, K.N. (author)
Railway transition zones (RTZs) are regions where abrupt track stiffness changes occur that may lead to dynamic amplifications and subsequent track deterioration. The design challenges for these zones arise due to variations in material properties in both the depth (trackbed layers composed of different materials) and longitudinal directions of...
journal article 2024
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Huber, Katharina T. (author), van Iersel, L.J.J. (author), Janssen, R. (author), Jones, M.E.L. (author), Moulton, V.L. (author), Murakami, Yukihiro (author), Semple, Charles (author)
This paper studies the relationship between undirected (unrooted) and directed (rooted) phylogenetic networks. We describe a polynomial-time algorithm for deciding whether an undirected nonbinary phylogenetic network, given the locations of the root and reticulation vertices, can be oriented as a directed nonbinary phylogenetic network....
journal article 2024
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Ouerghi, Ibrahim (author)
The mimetic spectral element method is a relatively young method in numerical solutions of partial differential equations and actions that describe physical systems. Its advantage is that it takes the geometrical structure of the problem into account which guarantees consistency of the numerical scheme and the conservation of relevant quantities...
master thesis 2023
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Arush, I. (author)
Flight test engineering is an interdisciplinary science that gathers flight-test data and develops methods with the objective of evaluating an aircraft or an airborne system in its operational flight environment. The need for flight testing emanates as a necessary effort that complements ground-based verification activities such as wind-tunnel...
doctoral thesis 2023
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Davidov, Lyuben (author)
There is a growing demand for precision and high-quality optical objectives and lenses due to their numerous advantages and uses. The market for high precision objective lenses has tremendous potential for development and is a sector that is expanding quickly. <br/><br/>Measuring the aberrations of optical systems is an essential step in the...
master thesis 2023
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van Nistelrooij, Maarten (author)
Small solar system bodies have received increasing scientific attention over the past decades. Studying their primitive origins can reveal important insights on the formation of planets, as well as the general evolution of the Solar System. Also their potential threat to life on Earth upon collision and their potential to act as stepping stones...
master thesis 2023
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Koppert, Reint (author)
Scatterometry is a non-destructive metrology technique widely used in the semiconductor industry for the reconstruction of periodic structures from diffraction measurements. This involves solving a so-called inverse problem, which can be done by tuning the geometry parameters of a forward model such that the discrepancy between the measured...
student report 2023
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Makkinje, Andri (author)
The goal of radiotherapy is to maximize the dose to the target while minimizing the dose to normal tissue. Treatment plans are optimized for this goal and dose delivery is improved in accuracy and precision. The optimization is based on the delineations of the volumes of interest on the medical images of the patient. The problem is that these...
master thesis 2023
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Shang, Y. (author), Nogal Macho, M. (author), Teixeira, Rui (author), Wolfert, A.R.M. (author)
The use of sensitivity analysis is essential in model development for the purposes of calibration, verification, factor prioritization, and mechanism reduction. While most contributions to sensitivity methods focus on the average model response, this paper proposes a new sensitivity method focusing on the extreme response and structural limit...
journal article 2023
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Takali, Farid (author), Nirwal, Sonal (author), Othmani, Cherif (author), Groves, R.M. (author)
It has been shown that the roots of guided waves in laminate plates produced by the ordinary differential equations (ODE) approach may not hold under to some computational conditions. A particular drawback of the 2D formulation of the ODE approach is the lack of reliability in the case of unidirectional laminates due to the decoupling...
journal article 2023
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Mulder, W.A. (author)
Finite elements with polynomial basis functions on the simplex with a symmetric distribution of nodes should have a unique polynomial representation. Unisolvence not only requires that the number of nodes equals the number of independent polynomials spanning a polynomial space of a given degree, but also that the Vandermonde matrix...
journal article 2023
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van Iersel, L.J.J. (author), Moulton, Vincent (author), Murakami, Yukihiro (author)
Graph invariants are a useful tool in graph theory. Not only do they encode useful information about the graphs to which they are associated, but complete invariants can be used to distinguish between non-isomorphic graphs. Polynomial invariants for graphs such as the well-known Tutte polynomial have been studied for several years, and...
journal article 2023
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Natali, A. (author), Leus, G.J.T. (author)
Fitting a polynomial to observed data is an ubiquitous task in many signal processing and machine learning tasks, such as interpolation and prediction. In that context, input and output pairs are available and the goal is to find the coefficients of the polynomial. However, in many applications, the input may be partially known or not known at...
conference paper 2023
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Rojo-Santiago, Jesús (author), Korevaar, Erik (author), Perko, Z. (author), Both, Stefan (author), Habraken, S.J.M. (author), Hoogeman, M.S. (author)
Background and purpose: In the Netherlands, head-and-neck cancer (HNC) patients are referred for proton therapy (PT) through model-based selection (MBS). However, treatment errors may compromise adequate CTV dose. Our aims are: (i) to derive probabilistic plan evaluation metrics on the CTV consistent with clinical metrics; (ii) to evaluate...
journal article 2023
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Tan, Xiaotong (author), Xu, Heyong (author), Tian, R. (author)
Delayed detached eddy simulation (DDES) is used to simulate the flow field around the conformal optical window turret and the flat optical window turret. The aero-optical effect and the far-field diffraction result of the two optical windows at 0°, 90° and 180° angles are quantitatively analyzed based on the flow field around the turret....
journal article 2023
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Carlet, Claude (author), Picek, S. (author)
We derive necessary conditions related to the notions, in additive combinatorics, of Sidon sets and sum-free sets, on those exponents d ∈ Z/(2<sup>n</sup> − 1)Z, which are such that F (x) = x<sup>d</sup> is an APN function over F<sub>2</sub>n (which is an important cryptographic property). We study to what extent these new conditions may...
journal article 2023
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Fečkan, Michal (author), Marynets, K. (author)
We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive...
journal article 2023
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Rojo-Santiago, Jesús (author), Habraken, S.J.M. (author), Romero, Alejandra Méndez (author), Lathouwers, D. (author), Wang, Yibing (author), Perko, Z. (author), Hoogeman, M.S. (author)
Objective. The Dutch proton robustness evaluation protocol prescribes the dose of the clinical target volume (CTV) to the voxel-wise minimum (VWmin) dose of 28 scenarios. This results in a consistent but conservative near-minimum CTV dose (D98%,CTV). In this study, we analyzed (i) the correlation between VWmin/voxel-wise maximum (VWmax)...
journal article 2023
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Groenevelt, W.G.M. (author), Wagenaar, C.C.M.L. (author)
An algebra is introduced which can be considered as a rank 2 extension of the Askey–Wilson algebra. Relations in this algebra are motivated by relations between coproducts of twisted primitive elements in the two-fold tensor product of the quantum algebra U<sub>q</sub> (sl(2, C)). It is shown that bivariate q-Racah polynomials appear as...
journal article 2023
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Zhang, Xiang (author), Blaauboer, M. (author)
We theoretically investigate the enhancement of the charging power in a Dicke quantum battery which consists of an array of N two-level systems (TLS)coupled to a single mode of cavity photons. In the limit of small N, we analytically solve the time evolution for the full charging process. The eigenvectors of the driving Hamiltonian are found...
journal article 2023
Searched for: subject%3A%22polynomial%22
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