Project detail

Moderní metody aplikované matematiky pro využití v technických vědách

Duration: 01.01.2014 — 31.12.2016

On the project

Podstatou navrhovaného projektu je studium a vývoj nových metod moderní aplikované matematiky pro řešení technických problémů. Do řešení projektu budou výrazně zapojeni studenti doktorského studijního programu Aplikovaná matematika. Členové řešitelského týmu se budou věnovat výzkumu v těch směrech aplikované matematiky, které jsou na ústavu dlouhodobě rozvíjeny. Náplní projektu proto bude matematický výzkum v oblasti diferenciálních a diferenčních rovnic, diskrétní matematiky, analýzy počítašových obrazů, aplikované geometrie a statistiky.

Mark

FSI-S-14-2290

Default language

Czech

People responsible

Šlapal Josef, prof. RNDr., CSc.
- principal person responsible (2014-01-01 - 2016-12-31)
Čermák Jan, prof. RNDr., CSc.
- fellow researcher (2014-01-01 - 2016-12-31)
Doupovec Miroslav, prof. RNDr., CSc., dr. h. c.
- fellow researcher (2014-01-01 - 2016-12-31)
Dražková Jana, Ing., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Druckmüller Miloslav, prof. RNDr., CSc.
- fellow researcher (2014-01-01 - 2016-12-31)
Druckmüllerová Hana, Ing., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Holešovský Jan, Ing., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Hrabec Dušan, Ing., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Ivičič Vojtěch, Ing.
- fellow researcher (2014-01-01 - 2016-12-31)
Janoutová Růžena, Ing., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Konečný Zdeněk, Ing.
- fellow researcher (2014-01-01 - 2016-12-31)
Kureš Miroslav, doc. RNDr., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Martišek Dalibor, doc. PaedDr., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Opluštil Zdeněk, doc. Mgr., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Pivovarník Marek, Ing., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)
Popela Pavel, RNDr., Ph.D.
- fellow researcher (2014-01-01 - 2016-12-31)

Units

Institute of Mathematics
- (2014-01-01 - 2016-12-31)
Faculty of Mechanical Engineering
- (2014-01-01 - 2016-12-31)

Funding resources

Brno University of Technology - Vnitřní projekty VUT
- whole funder (2014-01-01 - 2015-12-31)

Results

ŠLAPAL, J., CHAISANSUK, N. On a product of universal hyperalgebras. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2015, vol. 23, no. 2, p. 71-81. ISSN: 1224-1784.
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ŠLAPAL, J. Convenient adjacencies on Z^2. FILOMAT, 2014, vol. 28, no. 2, p. 305-312. ISSN: 0354-5180.
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HRABEC, D.; POPELA, P.; ROUPEC, J.; JINDRA, P.; HAUGEN, K.; NOVOTNÝ, J.; OLSTAD, A. Hybrid Algorithm for Wait-and-see Network Design Problem. Mendel Journal series, 2014, vol. 2014, no. 1, p. 97-104. ISSN: 1803-3814.
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MARTIŠEK, D.; DRUCKMÜLLEROVÁ, H. Power-function method of fractal dimension estimation. In Mendel 2014 20th International Conference of Soft Computing. Mendel Journal series. Brno, Czech Republic: Brno University of Technology, Faculty of Mechanical Engineering, Institute of Automation and Computer Science, 2014. p. 147-152. ISBN: 978-80-214-4984-8. ISSN: 1803-3814.
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KLAŠKA, J. Applications of sequences over finite fields. Matematika, informatika a aplikované vědy (MITAV 2014). Brno: Univerzita obrany, 2014. p. 26-26. ISBN: 978-80-7231-961-9.
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HOLEŠOVSKÝ, J.; FUSEK, M.; MICHÁLEK, J. Extreme value estimation for correlated observations. In Mendel 2014 20th International Conference of Soft Computing. Mendel Journal series. Brno, Czech Republic: Brno University of Technology, Faculty of Mechanical Engineering, Institute of Automation and Computer Science, 2014. p. 359-364. ISBN: 978-80-214-4984-8. ISSN: 1803-3814.
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POPELA, P.; NOVOTNÝ, J.; ROUPEC, J.; HRABEC, D.; OLSTAD, A. Two-Stage Stochastic Programming for Engineering Problems. Engineering Mechanics, 2014, vol. 21, no. 5, p. 335-353. ISSN: 1802-1484.
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BREDSTROEM, D.; HAUGEN, K.; OLSTAD, A.; NOVOTNÝ, J.;. A mixed integer linear programming model applied in barge planning for Omya. Operations Research Perspectives, 2015, vol. 2015 (2), no. 1, p. 150-155. ISSN: 2214-7160.
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ČERMÁK, J.; JÁNSKÝ, J. Stability switches in linear delay difference equations. APPLIED MATHEMATICS AND COMPUTATION, 2014, vol. 243, no. 9, p. 755-766. ISSN: 0096-3003.
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OPLUŠTIL, Z. Some notes on oscillation of two-dimensional system of difference equations. Mathematica Bohemica, 2014, vol. 139, no. 2, p. 417-428. ISSN: 0862-7959.
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HRABEC, D.; POPELA, P.; ROUPEC, J.; HAUGEN, K. Hybrid Algorithm for Here-and-Now Stochastic Network Design Problem with Pricing. 2014.
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HABBAL, S.; MORGAN, H.; DRUCKMÜLLER, M. EXPLORING THE PROMINENCE-CORONA CONNECTION AND ITS EXPANSION INTO THE OUTER CORONA USING TOTAL SOLAR ECLIPSE OBSERVATIONS. ASTROPHYSICAL JOURNAL, 2014, vol. 2014 793, no. 2, p. 119-128. ISSN: 0004-637X.
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ČERMÁK, J.; DRAŽKOVÁ, J. On stability sets for numerical discretizations of neutral delay differential equations. Tatra Mountains Mathematical Publications, 2015, vol. 63, no. 2, p. 89-100. ISSN: 1210-3195.
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ČERMÁK, J.; JÁNSKÝ, J. Explicit stability conditions for a linear trinomial delay difference equation. APPLIED MATHEMATICS LETTERS, 2015, vol. 43, no. 5, p. 56-60. ISSN: 0893-9659.
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ČÁSLAVKOVÁ, P.; POSPIECH, M.; ŠTARHA, P.; KAMENÍK, J.; SALÁKOVÁ, A.; TREMLOVÁ, B.; ŘEZÁČOVÁ LUKÁŠKOVÁ, Z. Verwendung der Bildanalyse für die Bewertung des Anschnitts der Rohwurstsorte Poličan. FLEISCHWIRTSCHAFT, 2014, roč. 94, č. 6, s. 88-93. ISSN: 0015-363X.
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LOMTATIDZE, A., DOSOUDILOVA, M., SREMR, J. Oscillatory properties of solutions to certain two-dimensional systems of non-linear ordinary differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2015, vol. 2015(120), no. 1, p. 57-75. ISSN: 0362-546X.
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DZHALLADOVA, I.; RŮŽIČKOVÁ, M.; ŠTOUDKOVÁ RŮŽIČKOVÁ, V. Stability of the zero solution of nonlinear differential equations under the influence of white noise. Advances in Difference Equations, 2015, vol. 2015, no. 143, p. 0-0. ISSN: 1687-1847.
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KUREŠ, M. n-root near fractions. Asia Pacific Journal of Mathematics, 2015, vol. 2, no. 2, p. 88-93. ISSN: 2357-2205.
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HRDINA, J.; VAŠÍK, P. Notes on differential kinematics in conformal geometric algebra approach. In Mendel 2015. Recent Advances in Soft Computing. Switzerland: Springer International Publishing, 2015. p. 363-374. ISBN: 978-3-319-19824-8.
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HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R. Special orthogonal matrices over dual numbers and their applications. Mendel Journal series, 2015, vol. 2015, no. 6, p. 121-126. ISSN: 1803-3814.
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HRABEC, D.; POPELA, P.; ROUPEC, J.; MAZAL, J.; STODOLA, P. Two-Stage Stochastic Programming for Transportation Network Design Problem. In Mendel 2015: Recent Advances in Soft Computing. Advances in Intelligent Systems and Computing. 2015. p. 17-25. ISBN: 978-3-319-19824-8. ISSN: 2194-5357.
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HRABEC, D.; POPELA, P.; ROUPEC, J.; JINDRA, P.; NOVOTNÝ, J. Hybrid Algorithm for Wait-and-See Transportation Network Design Problem with Linear Pricing. Mendel Journal series, 2015, vol. 2015, no. 1, p. 183-188. ISSN: 1803-3814.
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KUREŠ, M. MMXV-numbers. The Mathematics Student, 2015, vol. 84, no. 3-4, p. 123-125. ISSN: 0025-5742.
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OPLUŠTIL, Z.; ŠREMR, J. Myshkis type oscillation criteria for second-order linear delay differential equations. Monatshefte fuer Mathematik, 2015, vol. 2015 (1), no. 1, p. 143-161. ISSN: 0026-9255.
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KRATOCHVÍL, J. Umění v matematice, matematika v umění. Zprávy Vlastivědného muzea v Olomouci. Vlastivědné muzeum v Olomouci AB EF, 2015, roč. 2015, č. 310, s. 24-29. ISSN: 1212-1134.
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KŮDELA, J.; POPELA, P. Two-stage stochastic facility location problem: GA with benders decomposition. Mendel Journal series, 2015, vol. 2015, no. 1, p. 53-58. ISSN: 1803-3814.
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LOMTATIDZE, A.; OPLUŠTIL, Z. Well-posedness of the second-order linear singular Dirichlet problem. Georgian Mathematical Journal, 2015, vol. 2015 (22), no. 3, p. 409-419. ISSN: 1072-947X.
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KUREŠ, M. Subgroups of jet groups and material symmetries. In PCM-CMM-2015 Short Papers Vol. 2. Gdańsk: Polish Society of Theoretical and Applied Mechanics, 2015. p. 793-794. ISBN: 978-83-932107-6-3.
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PROCHÁZKA, D.; LANDA, J.; PROCHÁZKOVÁ, J.; KLIMÁNEK, M. Geospatial Infrastructure for European Union Sustainable Development. In Competitivness, Social Inclusion and Sustainability in a Diverse European Union. Switzerland: Springer, 2015. p. 179-189. ISBN: 978-3-319-17298-9.
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ŠLAPAL, J. Path-set induced closure operators on graphs. FILOMAT, 2016, vol. 30, no. 3, p. 863-871. ISSN: 0354-5180.
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ČERMÁK, J.; KISELA, T.; HORNÍČEK, J. Stability regions for fractional differential systems with a time delay. Communications in Nonlinear Science and Numerical Simulation, 2016, vol. 31, no. 1-3, p. 108-123. ISSN: 1007-5704.
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MARTIŠEK, D.; PROCHÁZKOVÁ, J.; FICKER, T. High-quality three-dimensional reconstruction and noise reduction of multifocal images from oversized samples. JOURNAL OF ELECTRONIC IMAGING, 2015, vol. 24, no. 5, p. 1-15. ISSN: 1017-9909.
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MAZAL, J.; STODOLA, P.; HRABEC, D.; KUTĚJ, L.; PODHOREC, M.; KŘIŠŤÁLOVÁ, D. Mathematical modeling and optimization of the tactical entity defensive engagement. INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 2015, no. 9, p. 600-606. ISSN: 1998-0140.
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ČERMÁK, J.; NECHVÁTAL, L. O rozložení kořenů kubického polynomu. Kvaternion, 2015, roč. 2015, č. 1-2, s. 25-39. ISSN: 1805-1324.
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NÁVRAT, A.; KUBIENA, J. Control of the trident square robot. Mendel Journal series, 2015, vol. 2015, no. 6, p. 115-120. ISSN: 1803-3814.
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NÁVRAT, A.; MATOUŠEK, R. Trident Snake Control Based on Conformal Geometric Algebra. In Mendel 2015: Recent Advances in Soft Computing. Advances in Intelligent Systems and Computing. AISC. Switzerland: Springer International Publishing, 2015. p. 375-385. ISBN: 978-3-319-19824-8. ISSN: 2194-5357.
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KUREŠ, M. Some Remarks to Higher Order Frames Occurring in Continuum Mechanics. In Continuous Media with Microstructure 2. Springer International Publishing, 2016. p. 45-52. ISBN: 978-3-319-28239-8.
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IVIČIČ, V.; KUREŠ, M. Two general examples of Weil algebras having the group of automorphisms connected. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, vol. 13, no. 3, p. 1650035-1 (1650035-19 p.)ISSN: 0219-8878.
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NEVRLÝ, V.; POPELA, P.; PAVLAS, M.; ŠOMPLÁK, R. Heuristic for generation of waste transportation test networks. Mendel Journal series, 2015, vol. 2015, no. 1, p. 189-194. ISSN: 1803-3814.
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NOVOTNÝ, J.; BRANDA, M.; POPELA, P.; OLSTAD, A. A Note on Fixed Interval Scheduling with Stochastic Elements. Informacní Bulletin Ceské Statistické spolecnosti, 2015, vol. 26, no. 4, p. 1-7. ISSN: 1210-8022.
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HOLEŠOVSKÝ, J.; FUSEK, M.; BLACHUT, V.; MICHÁLEK, J. Comparison of precipitation extremes estimation using parametric and nonparametric methods. HYDROLOGICAL SCIENCES JOURNAL-JOURNAL DES SCIENCES HYDROLOGIQUES, 2016, vol. 61, no. 13, p. 2376-2386. ISSN: 0262-6667.
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HORNÍČEK, J.; KUREŠ, M.; MACÁLKOVÁ, L. Some properties of orders of quaternion algebras with regard to the discrete norm. Mathematica Bohemica, 2016, vol. 141, no. 3, p. 285-405. ISSN: 0862-7959.
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Solovjovs Sergejs. Functorial semantics of topological theories. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, vol. 12, no. 5, p. 1-43. ISSN: 1735-0654.
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Paseka Jan, Solovjovs Sergejs, Stehlik Milan. On a topological universe of L-bornological spaces. SOFT COMPUTING, 2016, vol. 20, no. 7, p. 2503-2512. ISSN: 1432-7643.
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Solovjovs Sergejs. Localification procedure for affine systems. Cahiers de Topologie et Geometrie Differentielle Categoriques, 2015, vol. 56, no. 2, p. 109-132. ISSN: 1245-530X.
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HRDINA, J.; VAŠÍK, P.; NÁVRAT, A. Control of 3-Link Robotic Snake Based on Conformal Geometric Algebra. ADV APPL CLIFFORD AL, 2016, vol. 26, no. 3, p. 1069-1080. ISSN: 0188-7009.
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OPLUŠTIL, Z. Oscillation criteria for two-dimensional system of non-linear ordinary differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2016, vol. 2009, no. 36, p. 1-17. ISSN: 1417-3875.
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LOMTATIDZE, A.; DOSOUDILOVÁ, M. Remark on zeros of solutions of second-order linear ordinary differential equations. Georgian Mathematical Journal (on-line), 2016, vol. 23, no. 4, p. 1-7. ISSN: 1572-9176.
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FRANCŮ, J. On modeling of bodies with holes. In High performance computing in science and engineering. Lecture Notes in Computer Science. Switzerland: Springer, 2016. p. 141-151. ISBN: 978-3-319-40360-1.
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ČERMÁK, J.; JÁNSKÝ, J. Stability and periodic investigations of linear planar difference systems. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, vol. 39, no. 18, p. 5343-5354. ISSN: 0170-4214.
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KLAŠKA, J. SKULA, L. LAW OF INERTIA FOR THE FACTORIZATION OF CUBIC POLYNOMIALS - THE CASE OF DISCRIMINANTS DIVISIBLE BY THREE. Mathematica Slovaca, 2016, vol. 66, no. 4, p. 1019-1027. ISSN: 0139-9918.
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KUREŠ, M. Higher order frames and material symmetries. Solid State Phenomena, 2017, vol. 258, no. 1, p. 153-156. ISSN: 1662-9779.
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OPLUŠTIL, Z. On non-oscillation for certain system of non-linear ordinary differential equations. Georgian Mathematical Journal, 2017, vol. 24, no. 2, p. 277-286. ISSN: 1072-947X.
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ČERMÁK, J.; KISELA, T.; DOŠLÁ, Z. Fractional differential equations with a constant delay: Stability and asymptotics of solutions. APPLIED MATHEMATICS AND COMPUTATION, 2017, vol. 298, no. 1, p. 336-350. ISSN: 0096-3003.
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HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; MATOUŠEK, R. CGA-based robotic snake control. ADV APPL CLIFFORD AL, 2017, vol. 27, no. 1, p. 621-632. ISSN: 0188-7009.
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KLAŠKA, J.; SKULA, L. Law of inertia for the factorization of cubic polynomials - the case of primes 2 and 3. Mathematica Slovaca, 2017, vol. 67, no. 1, p. 71-82. ISSN: 0139-9918.
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POPELA, P.; MATOUŠEK, R.; KŮDELA, J. Heuristic approaches to stochastic quadratic assignment problem: VO and MM cases. In Proceedings of 22nd International Conference on Soft Computing MENDEL 2016. Mendel Journal series. Brno, Czech Republic: Brno University of Technology, 2016. p. 117-122. ISBN: 978-80-214-5365-4. ISSN: 1803-3814.
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ČERMÁK, L.; HLAVIČKA, R. Numerické metody. Brno: Akademické nakladatelství CERM, s.r.o. Brno, 2016. s. 1-110.
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MARTIŠEK, D. Elimination of Gibbs and Nyquist–Shannon Phenomena in 3D Image Reconstruction. 3D Research, 2016, vol. 1, no. 1, p. 1-21. ISSN: 2092-6731.
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MARTIŠEK, D.; DRUCKMÜLLEROVÁ, H. Registration of Partially Focused Images for 2D and 3D Reconstruction of Oversized Samples. SCANNING, 2017, vol. 2017, no. 4, p. 1-8. ISSN: 1932-8745.
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BOE, B.; HABBAL, S.; DRUCKMÜLLER, M.; LANDI, E.; KOURKCHI, E.; DING, A.; ŠTARHA, P.; HUTTON, J. The First Empirical Determination of the Fe10+ and Fe13+ Freeze-in Distances in the Solar Corona. ASTROPHYSICAL JOURNAL, 2018, vol. 259, no. 2, p. 105-119. ISSN: 0004-637X.
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YEATES, A.; AMARI, T.; CONTOPOULOS, I.; XUESHANG, F.; MACKAY, D.; MIKIČ, Z.; WIEGELMANN, T.; HUTTON, J.; LOWDER, C.; MORGAN, H.; PETRIE, G.; RACHMELER, L.; UPTON, L.; CANOU, A.; CHOPIN, P.; COOPER, D.; DRUCKMÜLLER, M.; LINKER, J.; SEATON, D.; TOROK, T. Global Non-Potential Magnetic Models of the Solar Corona During the March 2015 Eclipse. SPACE SCIENCE REVIEWS, 2018, vol. 214, no. 5, p. 99-126. ISSN: 0038-6308.
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POPELA, P.; HRABEC, D.; KŮDELA, J.; ŠOMPLÁK, R.; PAVLAS, M.; ROUPEC, J.; NOVOTNÝ, J. Waste processing facility location problem by stochastic programming: Models and solutions. In Advances in Intelligent Systems and Computing. Advances in Intelligent Systems and Computing. Switzerland: Springer Nature, 2018. p. 167-179. ISBN: 9783319978871. ISSN: 2194-5357.
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MIKIČ, Z.; COOPER, D.; LINKER, J.; MACKAY, D.; UPTON, L.; RILEY, P.; LIONELLO, R.; TOROK, T.; TITOV, V.; JANVIER, W.; DRUCKMÜLLER, M.; PASACHOFF, J.; CARLOS, W. Predicting the corona for the 21 August 2017 total solar eclipse. NATURE ASTRONOMY, 2018, vol. 2, no. 11, p. 913-921. ISSN: 2397-3366.
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PRICE, O.; JONES, G.; MORRILL, J.; OWENS, M.; BATTAMS, K.; MORGAN, H.; DRUCKMÜLLER, M.; DEIRIES, S. Fine-scale structure in cometary dust tails I: Analysis of striae in Comet C/2006 P1 (McNaught) through temporal mapping. ICARUS, 2018, vol. 319, no. 1, p. 540-557. ISSN: 0019-1035.
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BOE, B.; HABBAL, S.; DRUCKMÜLLER, M.; DING, A.; HODEROVÁ, J.; ŠTARHA, P. CME-induced Thermodynamic Changes in the Corona as Inferred from Fe xi and Fe xiv Emission Observations during the 2017 August 21 Total Solar Eclipse. ASTROPHYSICAL JOURNAL, 2020, vol. 888, no. 2, p. 1-18. ISSN: 0004-637X.
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FUSEK, M.; HOLEŠOVSKÝ, J.: EVDest; EVDest 1.0. UMAT FEKT VUT v Brně, Technická 2848/8, 616 00 Brno. URL: http://www.umat.feec.vutbr.cz/software/evdest.html. (software)
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