Project detail

Moderní matematické metody pro modelování problémů technických a přírodních věd

Duration: 01.01.2017 — 31.12.2019

On the project

Podstatou navrhovaného projektu je výzkum v oblasti moderních partií aplikované matematiky s cílem nalezení nových metod pro modelování a řešení problémů technických a přírodních věd. Pracovat budeme jejména v oblastech zpracování digitálních obrazů, řešení diferenciálních rovnic, statistiky, optimalizace a aplikací lineární algebry a diferenciální geometrie v robotice. Jedná se o pokračování výzkumu, který na Ústavu matematiky probíhá již řadu let a do kterého budou zapojeni studenti doktorského studijního programu Aplikovaná matematika.

Mark

FSI-S-17-4464

Default language

Czech

People responsible

Šlapal Josef, prof. RNDr., CSc.
- principal person responsible (2017-01-01 - 2019-12-31)
Bednář Josef, Ing., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Čermák Jan, prof. RNDr., CSc.
- fellow researcher (2017-01-01 - 2019-12-31)
Druckmüller Miloslav, prof. RNDr., CSc.
- fellow researcher (2017-01-01 - 2019-12-31)
Holec Tomáš, Ing.
- fellow researcher (2017-01-01 - 2019-12-31)
Hošek Jaromír, Ing.
- fellow researcher (2017-01-01 - 2019-12-31)
Hrabec Pavel, Ing., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Hrdina Jaroslav, doc. Mgr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Kokrda Lukáš, Ing.
- fellow researcher (2017-01-01 - 2019-12-31)
Kratochvíl Jiří Jaroslav, Mgr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Kůdela Jakub, Ing., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Kureš Miroslav, doc. RNDr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Navrátilová Barbora, Ing.
- fellow researcher (2017-01-01 - 2019-12-31)
Nechvátal Luděk, doc. Ing., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Popela Pavel, RNDr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Šútora Jan, Ing.
- fellow researcher (2017-01-01 - 2019-12-31)

Units

Institute of Mathematics
- (2017-01-01 - 2019-12-31)
Faculty of Mechanical Engineering
- (2017-01-01 - 2019-12-31)

Funding resources

Brno University of Technology - Vnitřní projekty VUT
- whole funder (2017-01-01 - 2018-12-31)

Results

KLAŠKA, J. SKULA, L. LAW OF INERTIA FOR THE FACTORIZATION OF CUBIC POLYNOMIALS -- THE REAL CASE. UTILITAS MATHEMATICA, 2017, vol. 102, no. 1, p. 39-50. ISSN: 0315-3681.
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TICHÝ, R.; HILDENBRAND, D.; STEINMETZ, C. GAALOPWeb for Matlab: An Easy to Handle Solution for Industrial Geometric Algebra Implementations. ADV APPL CLIFFORD AL, 2020, vol. 30, no. 4, p. 1-18. ISSN: 0188-7009.
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KLAŠKA, J.; SKULA, L. LAW OF INERTIA FOR THE FACTORIZATION OF CUBIC POLYNOMIALS - THE IMAGINARY CASE. UTILITAS MATHEMATICA, 2017, vol. 103, no. 2, p. 99-109. ISSN: 0315-3681.
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ŘEHÁK, P. An asymptotic analysis of nonoscillatory solutions of q-difference equations via q-regular variation. Journal of Mathematical Analysis and Application, 2017, vol. 454, no. 2, p. 829-882. ISSN: 0022-247X.
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KŮDELA, J.; POPELA, P.; ŠOMPLÁK, R.; MÁLEK, M.; RYCHTÁŘ, A.; HRABEC, D. The L-shaped Method for Large-scale Mixed-integer Waste Management Decision Making Problems. Chemical Engineering Transactions, 2017, vol. 61, no. 1, p. 1087-1092. ISSN: 2283-9216.
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ŘEHÁK, P.; YAMAOKA, N. Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales. Journal of Difference Equations and Applications, 2017, vol. 23, no. 11, p. 1884-1900. ISSN: 1563-5120.
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KŮDELA, J.; POPELA, P. Warm-start Cuts for Generalized Benders Decomposition. Kybernetika, 2017, vol. 53, no. 6, p. 1012-1025. ISSN: 0023-5954.
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ŠREMR, J. Some remarks on functional differential equations in abstract spaces. Memoirs Diff. Equat. Math. Phys, 2017, vol. 2017, no. 72, p. 103-118. ISSN: 1512-0015.
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PAVLÍK, J. Unified approach to graphs and metric spaces. Mathematica Slovaca, 2017, vol. 57, no. 5, p. 1213-1238. ISSN: 0139-9918.
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ŠLAPAL, J. A relational generalization of the Khalimsky topology. In Combinatorial Image Analysis. Lecture Notes in Computer Science. Lecture Notes in Computer Sciences. Switzerland: Springer, 2017. p. 132-141. ISBN: 978-3-319-59107-0. ISSN: 0302-9743.
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ŘEHÁK, P. On asymptotic relationships between two higher order dynamic equations on time scales. APPLIED MATHEMATICS LETTERS, 2017, vol. 2017, no. 73, p. 84-90. ISSN: 0893-9659.
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MOURALOVÁ, K.; BENEŠ, L.; BEDNÁŘ, J.; ZAHRADNÍČEK, R.; PROKEŠ, T.; FIALA, Z.; FRIES, J. Precision Machining of Nimonic C 263 Super AlloyUsing WEDM. Coatings, MDPI, 2020, vol. 10, no. 6, p. 1-20. ISSN: 2079-6412.
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DRUCKMÜLLER, M.; HABBAL, S.; NATHALIA, A.; EMMANOUILIDIS, C. Tethered Prominence-CME Systems Captured during the 2012 November 13 and 2013 November 3 Total Solar Eclipses. Astrophysical Journal Letters, 2017, vol. 851, no. 2, p. 41-50. ISSN: 2041-8205.
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NATHALIA, A.; HABBAL, S.; DRUCKMÜLLER, M.; EMMANOUILIDIS, C.; MORGAN, H. Dynamics of Large-scale Coronal Structures as Imaged during the 2012 and 2013 Total Solar Eclipses. Astrophysical Journal, 2017, vol. 848, no. 84, p. 84-93. ISSN: 1538-4357.
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KLAŠKA, J. Real-world applications of number theory. South Bohemia Mathematical Letters, 2018, vol. 25, no. 1, p. 39-47. ISSN: 1804-1450.
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KLAŠKA, J. Donald Dines Wall's conjecture. FIBONACCI QUARTERLY, 2018, vol. 56, no. 1, p. 43-51. ISSN: 0015-0517.
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ŠLAPAL, J. CONVENIENT PRETOPOLOGIES ON Z^2. TWMS Journal of Pure and Applied Mathematics, 2018, vol. 9, no. 1, p. 40-51. ISSN: 2076-2585.
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KŮDELA, J.; ŠOMPLÁK, R.; NEVRLÝ, V.; LIPOVSKÝ, T. Robust Waste Transfer Station Planning by Stochastic Programming. Chemical Engineering Transactions, 2018, vol. 70, no. 1, p. 889-894. ISSN: 2283-9216.
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OPLUŠTIL, Z. Oscillatory properties of certain system of non-linear ordinary differential equations. Miskolc Mathematical Notes (electronic version), 2018, vol. 19, no. 1, p. 439-459. ISSN: 1787-2413.
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ŘEHÁK, P. The Karamata integration theorem on time scales and its applications in dynamic and difference equations. APPLIED MATHEMATICS AND COMPUTATION, 2018, vol. 338, no. -, p. 487-506. ISSN: 0096-3003.
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HRDINA, J.; NÁVRAT, A.; VAŠÍK, P. CRA-based robotic snake control. In Introduction to Geometric Algebra Computing. Boca Raton, USA: Chapman and Hall/CRC, 2018. p. 141-154. ISBN: 9781498748384.
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KUREŠ, M.; DECOME, T.; DRECOURT, G. LoRi-TTM cryptosystem. Annals of the University of Craiova, Mathematics and Computer Science Series, 2018, vol. 45, no. 1, p. 137-150. ISSN: 1223-6934.
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ČERMÁK, J.; NECHVÁTAL, L. Local Bifurcations and Chaos in the Fractional Rössler System. International Journal of Bifurcations & Chaos, 2018, vol. 28, no. 8, p. 1850098-1 (1850098-17 p.)ISSN: 0218-1274.
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ŠLAPAL, J. Structuring digital plane by the 8-adjacency graph with a set of walks. International Journal of Mathematical and Computational Methods, 2017, vol. 2017, no. 2, p. 150-154. ISSN: 2367-895X.
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KLAŠKA, J.; SKULA, L. On the factorization of cubic polynomials with the same discriminant modulo a prime. Mathematica Slovaca, 2018, vol. 68, no. 5, p. 987-1000. ISSN: 0139-9918.
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DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On the Courant bracket on couples of vector fields and p-forms. Annales Universitatis Mariae Curie Sklodowska, 2018, vol. 72, no. 2, p. 29-36. ISSN: 0365-1029.
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KUREŠ, M. Two definitions of connections on manifolds and operations on the differential forms in local coordinates. Asia Pacific Journal of Mathematics, 2019, vol. 6, no. 11, p. 1-10. ISSN: 2357-2205.
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KUREŠ, M. Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor. Notes on Number Theory and Discrete Mathematics, 2019, vol. 25, no. 2, p. 8-15. ISSN: 1310-5132.
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MOURALOVÁ, K.; ZAHRADNÍČEK, R.; BEDNÁŘ, J. Study of vertical graphene growth on silver substrate based on design of experiment. Diamond and Related Materials, 2019, vol. 97, no. 3, p. 1-10. ISSN: 0925-9635.
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Josef Šlapal. Structuring Digital Plane by Closure Operators Associated with n-ary Relations. In Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications. Lecture Notes in Computer Science. Lecture Notes in Computer Science. Svýcarsko: Springer, 2019. p. 16-22. ISBN: 978-3-030-20804-2. ISSN: 0302-9743.
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KUREŠ, M. On elliptic curves with a closed component passing through a hexagon. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2019, vol. 27, no. 2, p. 67-82. ISSN: 1224-1784.
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HRDINA, J.; MATOUŠEK, R.; TICHÝ, R. Colour Image Segmentation by Region Growing Based on Conformal Geometric Algebra. In Advances in Computer Graphics. LNCS. Springer Nature Switzerland AG 2019: Springer, Cham, 2019. p. 564-570. ISBN: 978-3-030-22513-1.
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BYRTUS, R.; VECHETOVÁ, J. Trident Snake Robot Motion Simulation in V-Rep. In Modelling and Simulation for Autonomous Systems. Information Systems and Applications, incl. Internet/Web, and HCI. Switzerland: Springer International Publishing, 2019. p. 27-42. ISBN: 978-3-030-14984-0.
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BARTOŇOVÁ, L. Qualitative Analysis of a Robot Control Based on Sub-Riemannian Distance. In Modelling and Simulation for Autonomous Systems. Lecture Notes in Computer Science. Lecture Notes in Computer Science. Switzerland: Springer International Publishing AG, 2018. p. 193-203. ISBN: 978-3-319-76072-8. ISSN: 0302-9743.
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HRDINA, J.; ZALABOVÁ, L. Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7). JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2020, vol. 26, no. 2, p. 199-216. ISSN: 1079-2724.
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KUREŠ, M. Number theoretical views on resonant Rossby wave triads: graphs with vertices on quartics. Nonlinear Phenomena in Complex Systems, 2019, vol. 22, no. 3, p. 285-291. ISSN: 1561-4085.
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MOURALOVÁ, K.; PROKEŠ, T.; BENEŠ, L.; BEDNÁŘ, J. The Influence of WEDM Parameters Setup on the Occurrence of Defects when Machining Hardox 400 Steel. Materials, 2019, vol. 12, no. 22, p. 1-15. ISSN: 1996-1944.
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DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On the Symmetrization of Jets on Vector Bundles. FILOMAT, 2019, vol. 33, no. 4, p. 1091-1096. ISSN: 0354-5180.
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DOUPOVEC, M.; KOLÁŘ, I. ON THE γ-EQUIVALENCE OF SEMIHOLONOMIC JETS. ARCHIVUM MATHEMATICUM, 2019, vol. 55, no. 4, p. 261-264. ISSN: 0044-8753.
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KUREŠ, M.; ŠÚTORA, J. On some connected groups of automorphisms of Weil algebras. Transylvanian Journal of Mathematics and Mechanics, 2019, vol. 11, no. 1-2, p. 117-121. ISSN: 2067-239X.
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DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. The Natural Lie Algebra Brackets on Couples of Vector Fields and p-Forms. FILOMAT, 2019, vol. 33, no. 9, p. 2705-2709. ISSN: 0354-5180.
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MOURALOVÁ, K.; HRABEC, P.; BENEŠ, L.; OTOUPALÍK, J.; BEDNÁŘ, J.; PROKEŠ, T.; MATOUŠEK, R. Verification of Fuzzy Inference System for Cutting Speed while WEDM for the Abrasion-Resistant Steel Creusabro by Conventional Statistical Methods. Metals, 2020, vol. 10, no. 1, p. 1-11. ISSN: 2075-4701.
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FROLÍK, S. Note on Signature of Trident Mechanisms with Distribution Growth Vector (4,7). In Modelling and Simulation for Autonomous Systems. MESAS 2018. Lecture Notes in Computer Science, vol 11472. Switzerland: Springer Verlag, 2019. p. 82-89. ISBN: 978-3-030-14983-3.
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STODOLA, M. Monocular Kinematics Based on Geometric Algebra. In Modelling and Simulation for Autonomous Systems. MESAS 2018. Lecture Notes in Computer Science, vol 11472. Cham: Springer, 2019. p. 121-129. ISBN: 978-3-030-14983-3.
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ŠLAPAL, J. Closure operators associated to ternary relations for structuring the digital plane. Los Alamitos, CA, USA: IEEE, 2019. p. 125-128.
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DOLNÍK, M.; LOMTATIDZE, A. On periodic boundary value problem for certain planar system of nonlinear ordinary differential equations. International Workshopon the Qualitative Theory of Differential Equations. 2019. p. 47-50. ISSN: 1512-3391.
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MOURALOVÁ, K.; BENEŠ, L.; PROKEŠ, T.; BEDNÁŘ, J.; ZAHRADNÍČEK, R.; JANKOVÝCH, R.; FRIES, J.; VONTOR, J. Analysis of the machinability of copper alloy Ampcoloy by WEDM. Materials, 2020, vol. 13, no. 4, p. 1-14. ISSN: 1996-1944.
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ŘEHÁK, P. A note on transformations of independent variable in second order dynamic equations. In Springer Proceedings in Mathematics & Statistics. Cham: Springer, 2020. p. 335-353. ISBN: 978-3-030-35502-9.
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KUREŠ, M. A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus. Procedia Structural Integrity, 2019, vol. 23, no. 4, p. 396-401. ISSN: 2452-3216.
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HRDINA, J.; VAŠÍK, P.; PROCHÁZKA, J.; KUTĚJ, L.; ŠČUREK, R. The weighted core of games based on tactical decisions. In Modelling and Simulation for Autonomous Systems. Information Systems and Applications, incl. Internet/Web, and HCI. Switzerland: Springer Nature Switzerland AG, 2020. p. 244-252. ISBN: 978-3-030-43889-0.
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MOURALOVÁ, K.; BENEŠ, L.; BEDNÁŘ, J.; ZAHRADNÍČEK, R.; PROKEŠ, T.; FRIES, J. Analysis of Machinability and Crack Occurrence of Steels 1.2363 and 1.2343ESR Machined by Die-Sinking EDM. Coatings, MDPI, 2020, vol. 10, no. 4, p. 1-18. ISSN: 2079-6412.
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VALIŠ, D.; ŽÁK, L.; POKORA, O. Perspective approach in using anti-oxidation and anti-wear particles from oil to estimate residual technical life of a system. Tribology International, 2018, vol. 118, no. 1, p. 46-59. ISSN: 0301-679X.
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VALIŠ, D.; ŽÁK, L. Contribution to prediction of soft and hard failure occurrence in combustion engine using oil tribo data. ENGINEERING FAILURE ANALYSIS, 2017, vol. 82, no. 1, p. 583-598. ISSN: 1350-6307.
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MOURALOVÁ, K.; BENEŠ, L.; PROKEŠ, T.; BEDNÁŘ, J.; ZAHRADNÍČEK, R.; FRIES, J. Precision machining of pure molybdenum using WEDM. MEASUREMENT, Journal of the International Measurement Confederation (IMEKO), 2020, vol. 2020, no. 163, p. 1-13. ISSN: 0263-2241.
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ŠLAPAL, J., Barneva,R., Brimkov, V., Kulczycki, P., Tavares, J.M.R.S.: 6th International Conference, CompIMAGE 2018. Cracow (02.06.2018)
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ŠLAPAL, J.: 18th International Workshop on Combinatorial Image Analysis. Plovdiv (19.06.2017)
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