Dozent im Studiengang IT- und Software-Systeme Vorlesungen: Mathematik für Informatiker 1 und 2 IT-Center Dortmund
1993 – 2024
Professor im Fachbereich Informatik Lehrgebiete: Angewandte Informatik, Mathematik Fachhochschule Dortmund (Lehrpreis der FH Dortmund 1996 und 2007)
2016 – 2020
Dozent im Studiengang Web- und Medieninformatik, Dozent im Studiengang Wirtschaftsinformatik Vorlesungen: Mathematik und Angewandte Mathematik Springer Nature Campus GmbH
Akademischer Werdegang
1983 – 1993
Habilitation (1989), Promotion (1985) Fachbereich Mathematik und Informatik FernUniversität Hagen
1978 – 1983
Diplom (1983) Diplomstudiengang Mathematik (Nebenfach: Physik) Universität Dortmund
Publikationen
Monographie
B. Lenze, Mathematik und Quantum Computing, 2nd ed. Berlin: Logos Verlag, 2020.
B. Lenze, “On the points of regularity of multivariate functions of bounded variation,” Real Analysis Exchange, vol. 29, no. 2, pp. 647–656, 2004 [Online]. Available: https://projecteuclid.org/journals/real-analysis-exchange/volume-29/issue-2/On-the-points-of-regularity-of-multivariate-functions-of-bounded/rae/1149698555.pdf
B. Lenze and J. Raddatz, “Effects of dilation and translation on a perceptron-type learning rule for higher order Hopfield neural networks,” International journal of neural systems, vol. 12, no. 2, pp. 83–93, 2002.
B. Lenze, “On a perceptron-type learning rule for higher order Hopfield neural networks including dilation and translation,” Neurocomputing, vol. 48, no. 1–4, pp. 391–401, 2002.
B. Lenze, “A General Approach to Dyadic Periodic Interpolation Based on Discrete Sigma-Pi Orthogonality,” Journal of Computational Analysis and Applications, vol. 3, no. 4, pp. 271–280, 2001.
B. Lenze, “Complexity preserving increase of the capacity of bidirectional associative memories by dilation and translation,” Neural Networks, vol. 11, no. 6, pp. 1041–1048, 1998.
B. Lenze, “Linking discrete orthogonality with dilation and translation for incomplete sigma-pi neural networks of Hopfield-type,” Discrete Applied Mathematics, vol. 89, no. 1–3, pp. 169–180, 1998.
B. Lenze, “Dilation and translation for incomplete sigma-pi neural networks of Hopfield-type - a case study,” International journal of neural systems, vol. 7, no. 6, pp. 689–695, 1996.
B. Lenze, “Local Behaviour Of Neural Network Operators - Approximation And Interpolation,” Analysis : International Mathematical Journal of Analysis and its Applications, vol. 13, no. 4, pp. 377–387, 1993.
B. Lenze, “A hyperbolic modulus of smoothness for multivariate functions of bounded variation,” Approximation Theory and its Applications, vol. 7, no. 1, pp. 1–15, 1991.
B. Lenze, “On constructive one-sided approximation of multivariate functions of bounded variation,” Numerical Functional Analysis and Optimization, vol. 11, no. 1–2, pp. 55–83, 1990.
B. Lenze, “On the explicit solution of a time-optimal control problem by means of one-sided spline approximation,” Journal of Approximation Theory, vol. 56, no. 3, pp. 297–305, 1989.
B. Lenze, “Uniqueness in best one-sided L1-approximation by algebraic polynomials on unbounded intervals,” Journal of Approximation Theory, vol. 57, no. 2, pp. 169–177, 1989.
B. Lenze, “Note on the connection between two types of maximal functions,” Analysis : International Mathematical Journal of Analysis and its Applications, vol. 8, no. 3–4, pp. 391–395, 1988.
Mathematische Grundlagen der Verschlüsselungstechnik
Mathematik und Quantum Computing
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