TY - JOUR A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - On the influence of inhaled volatile organic compounds (VOCs) on exhaled VOCs concentrations JF - Proceedings of the 10. Forschungsforum der Österreichischen Fachhochschulen KW - Organic Compounds Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil T1 - Living Mathematics—some limits for abstraction in mathematics and their relation to experience KW - Mathematics Y1 - ER - TY - CHAP A1 - Simeonov, Emil T1 - Is Mathematics an Issue of General Education? T2 - Mathematical Cultures: The London Meetings 2012-2014 KW - Mathematics KW - Education Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil A1 - Pieronkiewicz, Barbara T1 - The Global Math Project KW - Mathematics Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil T1 - Is Mathematics an Issue of General Education? KW - Mathematics KW - Education Y1 - 2018 ER - TY - BOOK A1 - Petschnigg, Ursula A1 - Simeonov, Emil A1 - Mairinger, Daniela A1 - Schmid, Christian T1 - Portfolio für den Mathematikunterricht an Bildungsanstalten für Kindergartenpädagogik KW - Mathematics Y1 - ER - TY - GEN A1 - Simeonov, Emil T1 - Structure, Semiosis and Time - Anticipation and Surprise Recognition of Structure and Gestalt – exemplified by similarities between music and mathematics KW - Mathematics Y1 - ER - TY - BOOK A1 - Simeonov, Emil A1 - Mairinger, Daniela A1 - Schmid, Christian T1 - Mathematische Früherziehung - Formen KW - Mathematics Y1 - ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - On bucket increasing trees, clustered increasing trees and increasing diamonds JF - Combinatorics, Probability and Computing N2 - In this work we analyse bucket increasing tree families. We introduce two simple stochastic growth processes, generating random bucket increasing trees of size n, complementing the earlier result of Mahmoud and Smythe (1995, Theoret. Comput. Sci.144 221–249.) for bucket recursive trees. On the combinatorial side, we define multilabelled generalisations of the tree families d-ary increasing trees and generalised plane-oriented recursive trees. Additionally, we introduce a clustering process for ordinary increasing trees and relate it to bucket increasing trees. We discuss in detail the bucket size two and present a bijection between such bucket increasing tree families and certain families of graphs called increasing diamonds, providing an explanation for phenomena observed by Bodini et al. (2016, Lect. Notes Comput. Sci.9644 207–219.). Concerning structural properties of bucket increasing trees, we analyse the tree parameter Kn . It counts the initial bucket size of the node containing label n in a tree of size n and is closely related to the distribution of node types. Additionally, we analyse the parameters descendants of label j and degree of the bucket containing label j, providing distributional decompositions, complementing and extending earlier results (Kuba and Panholzer (2010), Theoret. Comput. Sci.411(34–36) 3255–3273.). KW - bucket-increasing-trees KW - clustered-trees KW - stochastic-growth-processes KW - descendants KW - nodedegrees Y1 - 2021 IS - Volume 31 , Issue 4 SP - 629 EP - 661 ER - TY - JOUR A1 - Huber, Albert T1 - Remark on the quasilocal calculation of tidal heating: Energy transfer through the quasilocal surface JF - American Physical Society - Physical Review D N2 - In this paper, using the quasilocal formalism of Brown and York, the flow of energy through a closed surface containing a gravitating physical system is calculated in a way that augments earlier results on the subject by Booth and Creighton. To this end, by performing a variation of the total gravitational Hamiltonian (bulk plus boundary part), it is shown that associated tidal heating and deformation effects generally are larger than expected. This is because the aforementioned variation leads to previously unrecognized correction terms, including a bulk-to-boundary inflow term that does not appear in the original calculation of the time derivative of the Brown-York energy and leads to corrective extensions of Einstein’s quadrupole formula in the large sphere limit. KW - gravitation KW - cosmology KW - fields Y1 - VL - 105 IS - 2 ER - TY - JOUR A1 - Mairhofer, Lukas A1 - Passon, Oliver T1 - Reconsidering the Relation Between “Matter Wave Interference” and “Wave–Particle Duality” JF - Foundations of Physics N2 - Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for “wave–particle duality” and in an extension of this duality even as support for “complementarity”. We first give an outline of the historical development of these notions. Already here it becomes evident that they are hard to define rigorously, i.e. have mainly a heuristic function. Then we discuss recent interference experiments of large and complex molecules which seem to support this heuristic function of “duality”. However, we show that in these experiments the diffraction of a delocalized center-of-mass wave function depends on the interaction of the localized structure of the molecule with the diffraction element. Thus, the molecules display “dual features” at the same time, which contradicts the usual understanding of wave–particle duality. We conclude that the notion of “wave–particle duality” deserves no place in modern quantum physics. KW - Quantenmechanik KW - Welle-Teilchen-Dualismus KW - Interferenz Y1 - IS - 52/32 PB - Springer ER - TY - JOUR A1 - Huber, Albert T1 - The gravitational field of a massless particle on the horizon of a stationary black hole JF - Classical and Quantum Gravity N2 - In this work, the field of a gravitational shockwave generated by a massless point-like particle is calculated at the event horizon of a stationary Kerr–Newman black hole. Using the geometric framework of generalized Kerr–Schild deformations in combination with the spin-coefficient formalism of Newman and Penrose, it is shown that the field equations of the theory, at the event horizon of the black hole, can be reduced to a single linear ordinary differential equation for the so-called profile function of the geometry. This differential relation is solved exactly. Based on the results obtained, a physical interpretation is given for the found shockwave spacetime, and it is clarified how these results lead back to those of previous works on the subject, which deal with the much simpler cases of gravitational shockwaves in static black hole backgrounds. KW - Gravitation Y1 - ER - TY - JOUR A1 - Kuba, Markus T1 - On multisets, interpolated multiple zeta values and limit laws. JF - Electronic Journal of Combinatorics N2 - In this work we discuss a parameter σ on weighted k-element multisets of [n]={1,…,n}. The sums of weighted k-multisets are related to k-subsets, k-multisets, as well as special instances of truncated interpolated multiple zeta values. We study properties of this parameter using symbolic combinatorics. We rederive and extend certain identities for ζtn({m}k). Moreover, we introduce random variables on the k-element multisets and derive their distributions, as well as limit laws for k or n tending to infinity. KW - k-multisets KW - k-subsets KW - truncated-multiple-zeta-values KW - interpolated-multiple-zeta-values KW - harmonic-numbers Y1 - IS - Vol. 29, Issue 1 ER - TY - GEN A1 - Mairhofer, Lukas A1 - Maiwöger, Mira T1 - Entanglement: From Philosophy to Quantum Information - and back Experiments on Bell-inequalties - threat to the Theory of Relativity? KW - Quantenphysik KW - Bell-Ungleichungen KW - Verschränkung Y1 - ER - TY - JOUR A1 - Hoffmann, Michael E. A1 - Kuba, Markus T1 - Logarithmic integrals, zeta values, and tiered binomial coeffcients JF - Monatshefte fuer Mathematik KW - Integrals KW - Binomial KW - Coefficient Y1 - ER - TY - GEN A1 - Mairhofer, Lukas T1 - From foundational research to application - Training Quantum Engineers KW - Didaktik KW - Quantentechnologien KW - Quantencomputer KW - Quantenkryptographie Y1 - ER - TY - GEN A1 - Mairhofer, Lukas T1 - Dying Experiments KW - Experimentalsysteme KW - Quantenphysik KW - Science and Technology Y1 - ER - TY - JOUR A1 - Belkacem, Kévin A1 - Kupka, Friedrich A1 - Philidet, Jordan A1 - Samadi, Réza T1 - Surface effects and turbulent pressure. Assessing the Gas-Γ1 and Reduced-Γ1 empirical models. JF - Astronomy & Astrophysics KW - Surface KW - Pressure Y1 - ER - TY - JOUR A1 - Kialka, Filip A1 - Stickler, Benjamin A1 - Hornberger, Klaus A1 - Fein, Yaakov A1 - Geyer, Philipp A1 - Mairhofer, Lukas A1 - Gerlich, Stefan A1 - Arndt, Markus T1 - Concepts for long-baseline, high-mass matter-wave interferometry JF - Physica Scripta N2 - Designing experiments which delocalize ever more complex and more massive particles requires a quantitative assessment of new interferometer configurations. Here, we introduce a figure of merit which quantifies the difference between a genuine quantum interference pattern and a classical shadow and use it to compare a number of near-field interferometer schemes. This allows us to identify the most promising setups for future tests of the quantum superposition principle, and to discuss the perspectives of interferometry with complex molecules and clusters. KW - Matter wave optics KW - Quantum optics in phase space KW - Meteorology Y1 - IS - 94, 2019 ER - TY - JOUR A1 - Huber, Albert T1 - Junction Conditions and local Spacetimes in General Relativity JF - The European Physical Journal C N2 - In the present work, a theoretical framework focussing on local geometric deformations is introduced in order to cope with the problem of how to join spacetimes with different geometries and physical properties. This framework is used to show that two Lorentzian manifolds can be matched by considering local deformations of the associated spacetime metrics. Based on the fact that metrics can be suitably matched in this way, it is shown that the underlying geometric approach allows the characterization of local spacetimes in general relativity. Furthermore, it is shown that said approach not only extends the conventional thin shell formalism, but also allows the treatment of geometric problems that cannot be treated with standard gluing techniques. KW - Relativity Y1 - ER - TY - JOUR A1 - Schätti, Jonas A1 - Köhler, Valentin A1 - Mayor, Marcel A1 - Fein, Yaakov A1 - Geyer, Philipp A1 - Mairhofer, Lukas A1 - Gerlich, Stefan A1 - Arndt, Markus T1 - Matter-wave interference and deflection of tripeptides decorated with fluorinated alkyl chains JF - Journal of Mass Spectrometry KW - interference KW - quantum KW - meteorology Y1 - IS - Vol 55, issue 6 ER - TY - JOUR A1 - Fein, Yaakov A1 - Shayeghi, Armin A1 - Mairhofer, Lukas A1 - Kialka, Filip A1 - Rieser, Philipp A1 - Geyer, Philipp A1 - Gerlich, Stefan A1 - Arndt, Markus T1 - Quantum-Assisted Measurement of Atomic Diamagnetism JF - Physical Review KW - diamagnetism KW - quantum KW - meteorology Y1 - IS - Volume 10, Issue 1 ER - TY - JOUR A1 - Hoffman, Michael E. A1 - Kuba, Markus A1 - Levy, Moti A1 - Louchard, Guy T1 - An Asymptotic Series for an Integral JF - Ramanujan Journal KW - asymtotic KW - integral Y1 - 2020 ER - TY - JOUR A1 - Hoffmann, Michael E. A1 - Kuba, Markus A1 - Levy, Moti A1 - Louchard, Guy T1 - An Asymptotic Series for an Integral JF - Ramanujan Journal KW - Asymptotic KW - Integral Y1 - ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - A Note on Harmonic number identities, Stirling series and multiple zeta values JF - International Journal of Number Theory KW - Multiple zeta values KW - Harmonic numbers KW - Arakawa–Kaneko zeta function KW - Stirling series Y1 - 2020 VL - 15 IS - 07 SP - 1323 EP - 1348 ER - TY - JOUR A1 - Mairhofer, Lukas A1 - Eibenberger, Sandra A1 - Shayeghi, Armin A1 - Arndt, Markus T1 - A quantum ruler for magnetic deflectometry JF - Entropy KW - Magnetic deflectometry KW - Matter-waves KW - Metrology Y1 - VL - 20 IS - 7 CY - Basel ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - Stirling permutations containing a single pattern of length three JF - The Australasian Journal of Combinatorics KW - Stirling permutations Y1 - 2020 VL - 74 IS - 2 SP - 216 EP - 239 ER - TY - JOUR A1 - Kuba, Markus T1 - A Note on the generating function of p-Bernoulli numbers JF - Quaestiones Mathematicae KW - Mathematics Y1 - ER - TY - RPRT A1 - Teschl, Gerald A1 - Teschl, Susanne T1 - Einführung in Mathematica KW - Mathematica Y1 - ER - TY - JOUR A1 - Teschl, Susanne A1 - Unterkofler, Karl A1 - Mochalski, Pawel A1 - Teschl, Gerald A1 - Ager, C. A1 - Mayhew, C.A. A1 - King, Julian T1 - Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis, part 2. JF - Journal of Breath Research KW - Breath KW - Gas KW - Analysis Y1 - VL - 12 ER - TY - CHAP A1 - Stockinger, Harald T1 - Biographical information from monasterial archives: Ernst Mach's school year at the Gymnasium of the Benedictines in Seitenstetten T2 - History of Mathematics and Teaching of Mathematics KW - Mathematics KW - Teaching KW - History Y1 - ER - TY - GEN A1 - Stockinger, Harald T1 - Biographical information from monasterial archives: Ernst Mach's school year at the Gymnasium of the Benedictines in Seitenstetten KW - Mathematics KW - Teaching KW - History Y1 - ER - TY - CHAP A1 - Mairhofer, Lukas A1 - Dippel, Anne T1 - Traces and Patterns. Pictures of Interferences and Collisions in the Physics Lab T2 - Traces. Generating What Was There KW - interferences Y1 - 2021 ER - TY - CHAP A1 - Mairhofer, Lukas T1 - Observing the Unobservable: Quantum Interference of Complex Macromolecules T2 - Interferences - Events KW - quantum KW - interference Y1 - 2021 ER - TY - JOUR A1 - Mairhofer, Lukas A1 - Eibenberger, Sandra A1 - Cotter, Joe A1 - Romirer, Marion A1 - Shayeghi, Armin A1 - Arndt, Markus T1 - Quantum-assisted metrology of neutral vitamins in the gas-phase JF - Angewandte Chemie International Edition N2 - It has recently been shown that matter-wave interferometry can be used to imprint a periodic nanostructure onto a molecular beam, which provides a highly sensitive tool for beam displacement measurements. Herein, we used this feature to measure electronic properties of provitamin A, vitamin E, and vitamin K1 in the gas phase for the first time. The shift of the matter-wave fringes in a static electric field encodes the molecular susceptibility and the time-averaged dynamic electric dipole moment. The dependence of the fringe pattern on the intensity of the central light-wave diffraction grating was used to determine the molecular optical polarizability. Comparison of our experimental findings with molecular dynamics simulations and density functional theory provides a rich picture of the electronic structures and dynamics of these biomolecules in the gas phase with β-carotene as a particularly interesting example. KW - Deflectometry KW - Electronic structure KW - Interferometry Y1 - ER - TY - JOUR A1 - Geyer, Philipp A1 - Sezer, Ugur A1 - Rodewald, Jonas A1 - Mairhofer, Lukas A1 - Dörre, Nadine A1 - Haslinger, Philipp A1 - Eibenberger, Sandra A1 - Brand, Christian A1 - Arndt, Markus T1 - Perspectives for Quantum Interference with Biomolecules and Biomolecular Clusters JF - Physica Scripta KW - Quanteninterferenz KW - Biomoleküle Y1 - VL - 91 IS - 6 ER - TY - BOOK A1 - Timischl, Wolfgang A1 - Schwaiger, Manfred A1 - Hebenstreit, Dieter A1 - Teschl, Susanne A1 - Prugger, Eva T1 - Mathematik und Wirtschaft 1-5, Arbeitsbuch für HAK und ausführliche Lösungen KW - Mathematics Y1 - PB - Dorner Westermann Verlag ER - TY - BOOK A1 - Timischl, Wolfgang A1 - Schwaiger, Manfred A1 - Hebenstreit, Dieter A1 - Teschl, Susanne A1 - Prugger, Eva T1 - Angewandte Mathematik 1-5, Arbeitsbuch für HUM und ausführliche Lösungen KW - Mathematics Y1 - PB - Dorner Westermann Verlag ER - TY - CHAP A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - Reproducibility and verification od real time breath VOCs concentration data by modeling T2 - Proceedings des Forschungsforum 2017 der österreichischen Fachhochschulen KW - Statistics KW - Modelling Y1 - 2018 ER - TY - JOUR A1 - Kuba, Markus A1 - Sulzbach, Henning T1 - On martingale tail sums in affine two-color urn models with multiple drawings JF - Journal of Applied Probability KW - Probability Calculation Y1 - 2018 VL - 54 IS - 1 SP - 96 EP - 117 ER - TY - GEN A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - Reproducibility and verification od real time breath VOCs concentration data by modeling KW - Statistics KW - Modelling Y1 - 2018 ER - TY - CHAP A1 - Mairhofer, Lukas T1 - Beobachtung in den Naturwissenschaften und bei Brecht T2 - Brecht und Naturwissenschaften KW - Brecht Y1 - 2021 ER - TY - JOUR A1 - Cotter, Joe A1 - Eibenberger, Sandra A1 - Mairhofer, Lukas A1 - Cheng, Xiaxi A1 - Asenbaum, Peter A1 - Arndt, Markus A1 - Walter, Kai A1 - Nimmrichter, Stefan A1 - Hornberger, Klaus T1 - Coherence in the presence of absorption and heating in a molecule interferometer JF - Nature Communications KW - Quantenphysik KW - Molekülinterferometer Y1 - IS - 6 ER - TY - JOUR A1 - Unterkofler, Karl A1 - King, Julian A1 - Mochalski, Pawel A1 - Jandacka, Martin A1 - Koc, Helin A1 - Teschl, Susanne A1 - Amann, Anton A1 - Teschl, Gerald T1 - Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis: a pilot study JF - Journal of Breath Research KW - Breath Gas KW - Analysis Y1 - ER - TY - CHAP A1 - Kuba, Markus A1 - Panholzer, Alois T1 - Combinatorial analysis of growth models for series-parallel networks. T2 - Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA) 2016 KW - Mathematics KW - Growth Model Y1 - 2018 ER - TY - CHAP A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - Modeling the dynamic of breath methane concentration profiles during exercise on an ergometer T2 - 9. Forschungsforum der Österreichischen Fachhochschulen, Hagenberg KW - Methane concentration Y1 - ER - TY - GEN A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - Modeling the dynamic of breath methane concentration profiles during exercise on an ergometer KW - Methane concentration Y1 - ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - Combinatorial families of multilabelled increasing trees and hook-length formulas. JF - Discrete Mathematics KW - Mathematical Trees KW - Mathematics Y1 - 2018 ER - TY - GEN A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - On the influence of inhaled volatile organic compounds (VOCs) on exhaled VOCs concentrations KW - Organic Compounds Y1 - 2018 ER - TY - GEN A1 - Kuba, Markus A1 - Panholzer, Alois T1 - Combinatorial analysis of growth models for series-parallel networks. KW - Mathematics KW - Combinatorics Y1 - 2018 ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - On moment sequences and mixed Poisson distributions. JF - Probability Surveys KW - Mathematics KW - Statistical Distributions Y1 - 2018 ER - TY - BOOK A1 - Teschl, Gerald A1 - Teschl, Susanne T1 - Mathematik für Informatiker, Band 1, Diskrete Mathematik und Lineare Algebra KW - Mathematics Y1 - PB - Springer Verlag ER - TY - CHAP A1 - Mairhofer, Lukas T1 - 'Die Spieler die wir sind' - zu einer Denkfigur im Kaukasischen Kreidekreis T2 - Brecht Yearbook KW - Philosophie Y1 - IS - 38 PB - University of Wisconsin Press ER - TY - BOOK A1 - Teschl, Gerald A1 - Teschl, Susanne T1 - Mathematik für Informatiker, Band 2, Analysis und Statistik KW - Mathematics Y1 - PB - Springer Verlag ER - TY - GEN A1 - Kuba, Markus T1 - Limit laws for urn models with multiple drawings KW - Urn Models Y1 - ER - TY - GEN A1 - King, J. A1 - Unterkofler, K. A1 - Koc, H. A1 - Teschl, S. T1 - Mathematical modeling for breath gas analysis KW - Modeling KW - Breath KW - Gas KW - Analysis Y1 - ER - TY - JOUR A1 - Teschl, Susanne A1 - Batzel, J. A1 - Kappel, F. T1 - Modeling the human cardiovascular-respiratory control system with two state delays: an application to congestive heart failure JF - Technical Report 191, Spezialforschungsbereich F-003 Bericht, Karl-Franzens-Universitat KW - Modeling KW - Cardiovascular Y1 - ER - TY - JOUR A1 - Teschl, Susanne A1 - Batzel, J. A1 - Kappel, F. T1 - Modeling the human cardiovascular-respiratory control system: an optimal control application to the transition to non-REM sleep JF - Technical Report 190, Spezialforschungsbereich F-003, Karl-Franzens-Universität KW - Modeling KW - Cardiovascular KW - Sleep Y1 - ER - TY - RPRT A1 - Teschl, Susanne T1 - MATLAB - Eine Einführung, mit Lösungen KW - Matlab Y1 - ER - TY - JOUR A1 - Batzel, J. A1 - Kappel, F. A1 - Teschl, Susanne T1 - A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans JF - Journal of Mathematical Biology KW - Modeling Y1 - IS - 50(3) SP - 293 EP - 335 ER - TY - CHAP A1 - Batzel, J. A1 - Teschl, Susanne A1 - Kappel, F. T1 - Modeling congestive heart failure: a control system model with state delay T2 - Proceedings of the 5th European Society of Mathematical and Theoretical Biology tri-annual Conference (ECMTB Conference): Mathematical Modelling & Computing in Biology and Medicine, Milano, Italy, July 2-6 2002. KW - Modeling Y1 - ER - TY - JOUR A1 - King, J. A1 - Koc, H. A1 - Unterkofler, K. A1 - Mochalski, P. A1 - Kupferthaler, A. A1 - Teschl, G. A1 - Teschl, S. A1 - Hinterhuber, H. A1 - Amann, Anton T1 - Dynamic profiles of volatile organic compounds in exhaled breath as determined by a coupled PTR-MS/GC-MS study JF - Physiological Measurement KW - Breath Y1 - VL - Vol. 31 IS - 9 ER - TY - JOUR A1 - King, J. A1 - Unterkofler, K. A1 - Teschl, G. A1 - Teschl, S. A1 - Mochalski, P. A1 - Hinterhuber, H. A1 - Koc, H. A1 - Amann, Anton T1 - A modeling-based evaluation of isothermal rebreathing for breath gas analyses of highly soluble volatile organic compounds JF - Journal of Breath Research KW - Breath Y1 - ER - TY - JOUR A1 - King, J. A1 - Unterkofler, K. A1 - Teschl, G. A1 - Teschl, S. A1 - Koc, H. A1 - Hinterhuber, H. A1 - Amann, Anton T1 - A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone JF - Journal of Mathematical Biology KW - Modeling KW - Breath KW - Gas KW - Analysis Y1 - SP - 959 EP - 999 ER - TY - JOUR A1 - King, J. A1 - Koc, H. A1 - Unterkofler, K. A1 - Mochalski, P. A1 - Teschl, G. A1 - Teschl, S. A1 - Hinterhuber, H. A1 - Amann, Anton T1 - Physiological modeling of isoprene dynamics in exhaled breath JF - Journal of Theoretical Biology KW - Modeling KW - Breath Y1 - VL - Vol. 267 IS - Issue 4 SP - 626 EP - 637 ER - TY - JOUR A1 - Kuba, Markus A1 - Varvak, Anna T1 - On Path diagrams and Stirling permutations JF - Séminaire Lotharingien de Combinatoire N2 - A permutation can be locally classified according to the four local types: peaks, valleys, double rises and double falls. The corresponding classification of binary increasing trees uses four different types of nodes. Flajolet demonstrated the continued fraction representation of the generating function of local types, using a classical bijection between permutations, binary increasing trees, and suitably defined path diagrams induced by Motzkin paths. The aim of this article is to extend the notion of local types from permutations to k-Stirling permutations (also known as k-multipermutations). We establish a bijection of these local types to node types of (k+1)-ary increasing trees. We present a branched continued fraction representation of the generating function of these local types through a bijection with path diagrams induced by Łukasiewicz paths, generalizing the results from permutations to arbitrary k-Stirling permutations. We further show that the generating function of ordinary Stirling permutation has at least three branched continued fraction representations, using correspondences between non-standard increasing trees, k-Stirling permutations and path diagrams. KW - Kettenbruch KW - Formale Potenzreihe KW - Continued fractions KW - Łukasiewicz paths KW - Path diagrams KW - Stirling permutations KW - Multipermutations KW - Increasing trees Y1 - 2021 IS - B82c (2021) ER - TY - CHAP A1 - King, J. A1 - Unterkofler, K. A1 - Koc, H. A1 - Teschl, G. A1 - Teschl, S. A1 - Mochalski, P. A1 - Hinterhuber, H. A1 - Amann, Anton T1 - Physiological Modeling for Analysis of Exhaled Breath T2 - Volatile Biomarkers - Non-Invasive Diagnosis in Physiology and Medicine KW - Modeling KW - Breath KW - Analysis Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Improvements to the Short-Characteristics Method in 3D RHD Simulations and some Unsolved Problems in Spectral Line Shapes of A-type Stars KW - Convection KW - Radiative transfer KW - Methods: spectroscopy KW - Methods: numerical Y1 - ER - TY - CHAP A1 - King, J. A1 - Unterkofler, K. A1 - Teschl, G. A1 - Teschl, S. A1 - Amann, Anton T1 - Mathematische Modellierung in der Atemgasanalyse T2 - Schriftenreihe zur Didaktik der Mathematik der ÖMG KW - Modeling KW - Breath Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Improvements in Numerical and Analytical Modelling Techniques to Study the Solar Surface KW - Convection KW - Stars: Sun KW - Methods: numerical KW - Radiative transfer Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Advanced Convection Modelling in Asteroseismology and Stellar Evolution KW - Convection KW - Asteroseismology KW - Stars: evolution Y1 - ER - TY - JOUR A1 - King, J. A1 - Kupferthaler, A. A1 - Unterkofler, K. A1 - Koc, H. A1 - Teschl, S. A1 - Teschl, G. A1 - Miekisch, W. A1 - Schubert, J. A1 - Hinterhuber, H. A1 - Amann, Anton T1 - Isoprene and acetone concentration profiles during exercise on an ergometer JF - Journal of Breath Research KW - Isoprene KW - Acetone KW - Ergometer Y1 - SP - 16 EP - 18 ER - TY - JOUR A1 - King, J. A1 - Koc, H. A1 - Unterkofler, K. A1 - Teschl, G. A1 - Teschl, S. A1 - Mochalski, P. A1 - Hinterhuber, H. A1 - Amann, Anton T1 - The role of mathematical modeling in VOC analysis using isoprene as a prototypic example JF - Journal of Breath Research KW - Modeling Y1 - SP - 9 EP - 11 ER - TY - JOUR A1 - King, J. A1 - Unterkofler, K. A1 - Teschl, G. A1 - Teschl, S. A1 - Amann, Anton T1 - Breath gas analysis for estimating physiological processes using anesthetic monitoring as a prototypic example JF - Conf. Proc. IEEE Eng. Med. Biol. Soc. KW - Breath KW - Gas KW - Analysis Y1 - SP - 1001 EP - 1004 ER - TY - JOUR A1 - Huber, Albert T1 - Hidden Killing fields, geometric symmetries and black hole mergers JF - Annals of Physics N2 - In the present work, using the recently introduced framework of local geometric deformations, special types of vector fields – so-called hidden Killing vector fields – are constructed, which solve the Killing equation not globally, but only locally, i.e. in local subregions of spacetime. Taking advantage of the fact that the vector fields coincide locally with Killing fields and therefore allow the consideration of integral laws that convert into exact physical conservation laws on local scales, balance laws in dynamical systems without global Killing symmetries are derived that mimic as closely as possible the conservation laws for energy and angular momentum of highly symmetric models. The utility of said balance laws is demonstrated by a concrete geometric example, namely a toy model for the binary merger of two extremal Reissner–Nordström black holes. KW - Hidden Killing KW - Vectors Phantom symmetries KW - Conservation laws Y1 - VL - 434 ER - TY - CHAP A1 - King, J. A1 - Unterkofler, K. A1 - Teschl, G. A1 - Teschl, S. A1 - Amann, Anton T1 - Volatile organic compounds in exhaled breath: real-time measurements, modeling, and bio-monitoring applications T2 - The 1st International Workshop on Innovative Simulation for Health Care KW - Modeling KW - Breath Y1 - ER - TY - CHAP A1 - Amann, Anton A1 - King, J. A1 - Kupferthaler, A. A1 - Unterkofler, K. A1 - Koc, H. A1 - Teschl, S. A1 - Hinterhuber, H. T1 - Exhaled Breath Analysis - Quantifying the Storage of Lipophilic Compounds in the Human Body T2 - Proceedings of ECOpole KW - Breath KW - Analysis Y1 - ER - TY - GEN A1 - Koc, H. A1 - Unterkofler, K. A1 - Amann, Anton A1 - Teschl, Susanne T1 - Mathematical modelling of blood-gas kinetics'' for validation of breath-based diagnostics KW - Modeling KW - Blood KW - Gas Y1 - ER - TY - CHAP A1 - Lietze, Stefanie A1 - Krizek, Gerd Christian A1 - Brezowar, Gabriela ED - Pauschenwein, Jutta ED - Gutounig, Robert T1 - Aufbau und Betrieb eines E-Learning Labors zur Lehrvideoproduktion T2 - Tagungsband KW - Teaching KW - Video KW - Production KW - Elearning Y1 - SN - 978-3-902103-86-4 SP - 56 EP - 62 ER - TY - GEN A1 - Lietze, Stefanie A1 - Krizek, Gerd Christian A1 - Brezowar, Gabriela A1 - Beck, Stefan T1 - Bridging Diversity KW - Diversity Y1 - ER - TY - CHAP A1 - Krizek, Gerd Christian A1 - Lietze, Stefanie A1 - Brezowar, Gabriela T1 - Blended Learning Platforms for Mathematics and Physics. The Open Educational Resources of the University of Applied Sciences Technikum Wien T2 - iCERi, 11th annual International Conference of Education, Research and Innovation KW - eLearning KW - Education KW - Mathematics KW - Physics Y1 - SN - 978-84-09-05948-5 ER - TY - CHAP A1 - Pacher, Anna A1 - Lietze, Stefanie A1 - Krizek, Gerd Christian ED - Fachgruppe Didaktik der Mathematik der Universität Paderborn, T1 - Inanspruchnahme, Effektivität und inhaltliche Relevanz der Mathematik-Brückenkurse an der Fachhochschule Technikum Wien. T2 - Beiträge zum Mathematikunterricht 2018 KW - Mathematics KW - Teaching Y1 - SP - 1367 EP - 1370 PB - WTM-Verlag CY - Münster ER - TY - CHAP A1 - Krizek, Gerd Christian A1 - Brezowar, Gabriela A1 - Lietze, Stefanie T1 - Blended Learning Plattformen für Mathematik und Physik – die offenen Bildungsressourcen der Fachhochschule Technikum Wien T2 - Open Access Tage, Graz KW - eLearning KW - Education KW - Mathematics KW - Physics Y1 - ER - TY - GEN A1 - Krizek, Gerd Christian A1 - Lietze, Stefanie A1 - Brezowar, Gabriela T1 - Blended Learning Platforms for Mathematics and Physics. The Open Educational Resources of the University of Applied Sciences Technikum Wien KW - eLearning KW - Education KW - Mathematics KW - Physics Y1 - ER - TY - GEN A1 - Pacher, Anna A1 - Lietze, Stefanie A1 - Krizek, Gerd Christian T1 - Inanspruchnahme, Effektivität und inhaltliche Relevanz der Mathematik-Brückenkurse an der Fachhochschule Technikum Wien. KW - Mathematics KW - Teaching Y1 - ER - TY - JOUR A1 - Lietze, Stefanie A1 - Krizek, Gerd Christian ED - Neue Medien in der Lehre Austria, Forum T1 - Lernvideos barrierefrei gestalten KW - Teaching KW - Video Y1 - VL - 2018 IS - 04 SP - 24 EP - 25 ER - TY - JOUR A1 - Krizek, Gerd Christian A1 - Mairhofer, Lukas T1 - Notions of Completeness in the EPR Discussion JF - Entropy N2 - We explore the different notions of completeness applied in the EPR discussion following and amending the thorough analysis of Arthur Fine. To this aim, we propose a classification scheme for scientific theories that provides a methodology for analyzing the different levels at which interpretive approaches come into play. This allows us to contrast several concepts of completeness that operate on specific levels of the theory. We introduce the notion of theory completeness and compare it with the established notions of Born completeness, Schrödinger completeness and bijective completeness. We relate these notions to the recent concept of ????-completeness and predictable completeness. The paper shows that the EPR argument contains conflicting versions of completeness. The confusion of these notions led to misunderstandings in the EPR debate and hindered its progress. Their clarification will thus contribute to recent debates on interpretational issues of quantum mechanics. Finally, we discuss the connection between the EPR paper and the Einstein–Rosen paper with regard to the question of completeness. KW - quantum mechanics KW - interpretation KW - EPR Y1 - U6 - http://dx.doi.org/10.3390/e25040585 VL - 25 IS - 4 ER - TY - GEN A1 - Weisz, Gudrun A1 - Krizek, Gerd Christian A1 - Embacher, Franz T1 - Das eLab der FH Technikum Wien und der Einsatz von Lernvideos in den standardisierten Bachelor-Mathematiklehrveranstaltungen KW - Hochschuldidaktik KW - eLearning KW - Mathematik KW - Lernvideos Y1 - ER - TY - JOUR A1 - Kostogryz, Nadiia M. A1 - Kupka, Friedrich A1 - Piskunov, Nikolai A1 - Fabbian, Damian A1 - Krüger, Daniel A1 - Gizon, Laurent T1 - Accurate Short-Characteristics Radiative Transfer in A Numerical Tool for Astrophysical Research (ANTARES) JF - Solar Physics KW - Astrophysics Y1 - ER - TY - JOUR A1 - Szabó, A. A1 - Unterkofler, K. A1 - Mochalski, P. A1 - Jandacka, Martin A1 - Ruzsanyi, V. A1 - Szabó, G. A1 - Mohácsi, A. A1 - Teschl, S. A1 - Teschl, G. A1 - King, J. T1 - Modeling of breath methane concentration profiles during exercise on an ergometer JF - Journal of Breath Research KW - Modeling KW - Breath KW - Ergometer KW - Methane Y1 - ER - TY - JOUR A1 - Langer, Karin A1 - Lietze, Stefanie T1 - Schreibwerkstatt. Hilfe zur Selbsthilfe beim Studienabschluss JF - Exposé – Zeitschrift für wissenschaftliches Schreiben und Publizieren KW - Schreibwerkstatt Y1 - U6 - http://dx.doi.org/doi.org/10.3224/expose.v4i1.06 IS - 1 SP - 21 EP - 24 ER - TY - CHAP A1 - Lietze, Stefanie A1 - Langer, Karin A1 - Krizek, Gerd Christian T1 - Getting started – eigene Lehrvideos gestalten T2 - Conference: Hochschulen im digitalen (Klima)Wandel KW - Lehrvideos KW - Lernvideos KW - E-Learning KW - Mobile Learning Y1 - ER - TY - JOUR A1 - Krizek, Gerd Christian A1 - Hausleitner, Rene A1 - Böhme, Laura A1 - Olaverri-Monreal, Cristina T1 - Empirical Analysis of Safe Distance Calculation by the Stereoscopic Capturing and Processing of Images Through the Tailigator System JF - sensors N2 - Driver disregard for the minimum safety distance increases the probability of rear-end collisions. In order to contribute to active safety on the road, we propose in this work a low-cost Forward Collision Warning system that captures and processes images. Using cameras located in the rear section of a leading vehicle, this system serves the purpose of discouraging tailgating behavior from the vehicle driving behind. We perform in this paper the pertinent field tests to assess system performance, focusing on the calculated distance from the processing of images and the error margins in a straight line, as well as in a curve. Based on the evaluation results, the current version of the Tailigator can be used at speeds up to 50 km per hour without any restrictions. The measurements showed similar characteristics both on the straight line and in the curve. At close distances, between 3 and 5 m, the values deviated from the real value. At average distances, around 10 to 15 m, the Tailigator achieved the best results. From distances higher than 20 m, the deviations increased steadily with the distance. We contribute to the state of the art with an innovative low-cost system to identify tailgating behavior and raise awareness, which works independently of the rear vehicle's communication capabilities or equipment. KW - tailgating KW - stereoscopy Y1 - 2020 ER - TY - JOUR A1 - Olaverri-Monreal, Cristina A1 - Errea-Moreno, Javier A1 - Diaz-Alvarez, Alberto A1 - Biurrun-Quel, Carlos A1 - Serrano-Arriezu, Luis A1 - Kuba, Markus T1 - Connection of the SUMO Microscopic Traffic Simulator and the Unity 3D Graphic Engine to Evaluate V2X Communication-Based Systems JF - Sensors KW - Traffic KW - Simulator Y1 - ER - TY - JOUR A1 - Shan, Yutong A1 - Reiners, Ansgar A1 - Fabbian, Damian A1 - Marfil, Emilio A1 - Montes, David A1 - Tabernero, Hugo M. A1 - Ribas, Ignasi A1 - Caballero, Jose A. A1 - Quirrenbach, Andreas A1 - Amado, Pedro J. A1 - Aceituno, Jesus A1 - Bejar, Victor J. S. A1 - Cortes-Contreras, Miriam A1 - Dreizler, Stefan A1 - Hatzes, Artie P. A1 - Henning, Thomas A1 - Jeffers, Sandra V. A1 - Kaminski, Adrian A1 - Kurster, Martin A1 - Lafarga, Marina A1 - Morales, Juan Carlos A1 - Nagel, Evangelos A1 - Palle, Enric A1 - Passegger, Vera M. A1 - Lopez, Cristina Rodriguez A1 - Schweitzer, Andreas A1 - Zechmeister, Mathias T1 - The CARMENES search for exoplanets around M dwarfs Not-so-fine hyperfine-split vanadium lines in cool star spectra JF - Astronomy & Astrophysics KW - Atomic data KW - Low-mass stars Y1 - VL - 654 ER - TY - JOUR A1 - Lietze, Stefanie A1 - Langer, Karin T1 - Individualität statt Diversität. Ein Plädoyer für einen neuen (alten) Fokus im Umgang mit Studierenden JF - Zeitschrift für Diversitätsforschung und -management KW - Hochschullehre KW - Diversität KW - Individualität Y1 - IS - Jahrgang 5, Ausgabe 2, 2020 SP - 205 EP - 209 ER - TY - BOOK A1 - Timischl, Wolfgang A1 - Teschl, Susanne T1 - Ingenieurmathematik 4, Ausführliche Lösungen KW - Mathematics Y1 - ER - TY - JOUR A1 - Langer, Karin A1 - Lietze, Stefanie A1 - Krizek, Gerd Christian T1 - Vector AR3-App. A Good-Practice Example of Learning with Augmented Reality JF - European Journal of Open, Distance and E-Learning N2 - After a discussion about the possibilities and status of augmented reality in education, a good practice example of an augmented reality application is presented. This case study examines the use of an augmented reality app in higher education to support abstract STEM content, such as vectors. Based on this example, the implementation of such apps in didactic concepts and self - directed learning will be discussed. Furthermore, aspects of integration into digital learning and teaching will be addressed. N2 - Nach einem Überblick über die Möglichkeiten und den Status von Augmented Reality im Bildungswesen wird ein Good-Practice-Beispiel einer Augmented-Reality-Anwendung vorgestellt. Dieses Fallbeispiel untersucht anhand dieser App die Verwendung von Augmented Reality in der Hochschulbildung zur Unterstützung abstrakter STEM-Inhalte, wie z.B. Vektoren. Mittels dieses Beispiels wird die Implementierung solcher Apps in didaktische Konzepte sowie ihr Nutzen unter dem Gesichtspunkt des selbstgesteuerten Lernens diskutiert. Darüber hinaus werden Aspekte der Einbindung in das digitale Lernen und Lehren adressiert. KW - Mathematics KW - E-learning KW - App based learning KW - Mobile learning KW - Augmented reality Y1 - VL - 23 IS - 2 ER - TY - CHAP A1 - Krizek, Gerd Christian A1 - Langer, Karin A1 - Leitgeb, Erich A1 - Seyringer, Dana A1 - Schreivogl, Paul A1 - Grabher-Meyer, Arno T1 - Educational Activities with Photonics Explorer T2 - 2022 International Conference on Broadband Communications for Next Generation Networks and Multimedia Applications (CoBCom) N2 - In this paper we present various educational activities with Photonics Explorer, an educational kit developed by the photonics research team B - PHOT at VUB (Vrije Universiteit Brussel) for students at secondary schools. The concept is a ‘lab-in-a-box’ that enables students of the 2 nd and 3 rd grade to do photonics experiments themselves at school with lasers, LEDs, lenses, optical fibers, and other high-tech components. Even though, the kit was developed for the secondary schools, we use experiments from the kit also for some other teaching activities such as lectures at the university, photonics workshops for teachers and children at primary/secondary schools or for events such as children's/youth's university or the night of sciences. In the frame of Austrian based project Phorsch! we have organized most of these activities which will be presented here. KW - education KW - photonics Y1 - PB - IEEE ER - TY - JOUR A1 - Lietze, Stefanie A1 - Langer, Karin A1 - Kertész, Dóra T1 - Wen informiere ich eigentlich (nicht)? Informationsmaterial im Bildungsbereich barrierefrei zugänglich machen JF - dvb forum: Inklusion N2 - Dieser Beitrag soll interessierten Laien eine Hilfestellung an die Hand geben, ihre Infomaterialien barriereärmer zu gestalten. Einführend erfolgt eine kurze Darstellung der rechtlichen und gesellschaftlichen Situation rund um das Thema Behinderung. Verschiedene Ebenen von Barrieren und Lösungsansätze werden vorgestellt: Organisationale Barrieren von Bildungseinrichtungen werden ebenso wie Barrieren rund um das Bildungsberatungsgespräch adressiert. Der Schwerpunkt liegt bei auf der Gestaltung von Informationsmaterial. Neben einem theoretischen Hintergrund über Lösungsansätze werden praktische Umsetzungen für verschiedene Medien vorgestellt. Der Beitrag wird durch Beispiele guter Praxis in der Umsetzung, eine Checkliste zur Anwendung und weiterführende Ressourcen abgerundet. KW - Inklusion KW - Barrierefreiheit Y1 - VL - 62 IS - 1 SP - 10 EP - 16 PB - wbv Publikation ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - Tree evolution processes for bucket increasing trees JF - Discrete Mathematics N2 - Bucket increasing trees are multilabelled generalizations of increasing trees, where each non-leaf node carries b labels, with a fixed integer. We provide a fundamental result, giving a complete characterization of all families of bucket increasing trees that can be generated by a tree evolution process. We also provide several equivalent properties, complementing and extending earlier results for ordinary increasing trees to bucket trees. Additionally, we state second order results for the number of descendants of label j, again extending earlier results in the literature. KW - Increasing trees KW - multilabelled trees KW - tree evolution processes Y1 - U6 - http://dx.doi.org/https://doi.org/10.1016/j.disc.2023.113443 VL - Vol. 346 IS - Issue 7 SP - 113443 ER - TY - JOUR A1 - Spada, Federico A1 - Demarque, Pierre A1 - Kupka, Friedrich T1 - Stellar evolution models with entropy-calibrated mixing-length parameter: application to red giants JF - Mon. Not. Roy. Astron. Soc. KW - solar KW - stellar KW - astrophysics Y1 - U6 - http://dx.doi.org/https://doi.org/10.1093/mnras/stab1106 ER - TY - GEN A1 - Kupka, Friedrich T1 - On the Potential of the Reynolds Stress Approach to Model Convective Overshooting in Grids of Stellar Evolution Models KW - Convection KW - Turbulence KW - Asteroseismology KW - Stars: evolution Y1 - U6 - http://dx.doi.org/https://doi.org/10.5281/zenodo.5572778 ER - TY - JOUR A1 - Ahlborn, Felix A1 - Kupka, Friedrich A1 - Weiss, Achim A1 - Flaskamp, Martin T1 - Stellar evolution models with overshooting based on 3-equation non-local theories: II. Main sequence models of A- and B-type stars JF - Astronomy & Astrophysics KW - convection KW - turbulence KW - stars: evolution KW - stars: interiors Y1 - U6 - http://dx.doi.org/https://doi.org/10.1051/0004-6361/202243126 IS - Volume 667 SP - Article Number A97 ER - TY - JOUR A1 - Kupka, Friedrich A1 - Ahlborn, Felix A1 - Weiss, Achim T1 - Stellar evolution models with overshooting based on 3-equation non-local theories: I. Physical basics and the computation of the dissipation rate JF - Astronomy & Astrophysics KW - convection KW - turbulence KW - stars: evolution KW - stars: interiors Y1 - U6 - http://dx.doi.org/https://doi.org/10.1051/0004-6361/202243125 IS - Volume 667 SP - Article Number A96 ER - TY - JOUR A1 - Huber, Albert T1 - Quasilocal corrections to Bondi’s mass-loss formula and dynamical horizons JF - Physical Review D KW - Bondi´s mass-loss formula KW - quasilocal KW - dynamical horizons Y1 - U6 - http://dx.doi.org/https://doi.org/10.1103/PhysRevD.108.084056 VL - Vol. 108 IS - issue 8 ER - TY - JOUR A1 - Mairhofer, Lukas A1 - Maiwöger, Mira A1 - Riepl, Martin A1 - Embacher, Franz A1 - Krizek, Gerd Christian T1 - Experimente zur Quanteninformation JF - plusLucis KW - Quanteninformation KW - Experimente Y1 - IS - 2 SP - 7 EP - 7 ER - TY - GEN A1 - Kuba-Kremser, Markus T1 - Asymptotic expansions of Integrals, Moment convergence and Multiple zeta values KW - MVZs KW - Integral KW - Number theory Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Requirements from WP123200 KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Recent Theoretical Advances about Core Overshooting and Convective Penetration from a Convective Envelope KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Non-local Models of Convective Core Overshooting in A- and B-type Stars KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich A1 - Zaussinger, Florian T1 - Compressible Double-Diffusive Convection KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Numerical Simulation of A-type and White Dwarf Stars KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - The Challenge of Numerical Simulations of Convection KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Reynolds Stress Models and Convective Overshooting KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Interface with WP123200 KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - A Turbulent Context KW - astrophysics Y1 - ER -