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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - GEN A1 - Pasteka, Richard A1 - Forjan, Mathias A1 - Drauschke, Andreas T1 - Comparison of Mathematical and Controlled Mechanical Lung Simulation in Active Breathing and Ventilated State KW - Breathing Simulation KW - Flow Measurement KW - In-silico Models KW - Mathematical Models KW - Mechanical Simulation 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 - 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 - Krizek, Gerd Christian A1 - Lietze, Stefanie A1 - Beck, Stefan A1 - Langer, Karin T1 - Differenzierte Kompetenzmessung mittels eAssessments - Ein Konzept für die Zukunft JF - fnma KW - education KW - assessment Y1 - 2020 ER -