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The paper concentrates on the positive sides of front-end frameworks. It creates a small webpage that will show some of the basic capabilities of a JavaScript front-end framework called Vue JS and the easiness of its implementation. It shows why is there a need for frameworks in development and how can companies use them for their benefit. Since they can be used and speed up development processes they can be learned in schools for an easier grasp of development concepts.

<p>Bourlès et al. (1989:<em> Geochim. Cosmochim. Acta</em>) suggested that authigenic <sup>10</sup>Be/<sup>9</sup>Be ratio could provide a geochronological tool to date deposition of clay-bearing sediment settled in a water column up to 14 Ma old. It is based on ratio of atmospheric cosmogenic radionuclide <sup>10</sup>Be delivered to depositional environments by precipitation and stable <sup>9</sup>Be extracted from rock massifs by chemical weathering. Determination of the initial <sup>10</sup>Be/<sup>9</sup>Be ratio is essential for efficient application of the dating and may vary spatially as well as in time due to changes in drainage basins, depositional environments, climate, and other factors. The potential of the authigenic <sup>10</sup>Be/<sup>9</sup>Be dating was evaluated during last years in the Pannonian Basin realm, located in Central Europe. This contribution summarizes successful applications as well as discovered problems and challenges, which motivate the ongoing research.</p><p>Two initial <sup>10</sup>Be/<sup>9</sup>Be ratios were established from Holocene alluvial and lacustrine clays in the Danube Basin (Šujan et al., 2016: <em>Glob. Planet. Change</em>). The dating was applied to shallow to deep-water sediments deposited in Lake Pannon within the Danube Basin, and helped to constrain paleogeographic changes in the age range of 11.6–3 Ma. Application of the method to the post-rift alluvial succession with high subsidence rates of 50–400 m/Ma in the range of ~9.5–6.0 Ma yielded data consistent with other geochronological proxies (Šujan et al., 2020: <em>Sed. Geol.</em>; Joniak et al., 2020: <em>Palaeo<sup>3</sup></em>). The fast accumulation and tectonic quiescence likely provided stable environmental conditions favorable for the dating method applicability.</p><p>Lacustrine and deltaic deposits of Lake Pannon were analyzed from cores of Paks boreholes in the central part of the Pannonian Basin. The resulting authigenic <sup>10</sup>Be/<sup>9</sup>Be ages are generally in agreement with magnetostratigraphic age constraints correlated using seismic stratigraphy (Magyar et al., 2019: <em>Földt. Közl.</em>). Outliers with relative enrichment of <sup>10</sup>Be appear in most distal facies, where low terrestrial <sup>9</sup>Be input is expected.</p><p>A study of turbidite deposits from the Transylvanian Basin allowed to compare the established lacustrine initial <sup>10</sup>Be/<sup>9</sup>Be with a ratio independently calculated from Ar/Ar dated horizon (Botka et al., 2019: <em>Austrian J. Earth. Sci.</em>). Majority of samples provided a good fit with other age proxies, while one sedimentary interval exhibits twofold increase of <sup>10</sup>Be/<sup>9</sup>Be probably indicating variability in the environmental conditions (Baranyi et al., 2021: <em>Rev. Palaeobot. Palyn.</em>).</p><p>An order of magnitude higher authigenic <sup>10</sup>Be/<sup>9</sup>Be comparing to the established initial ratios were obtained from supposed early Pleistocene sediments from the locality Sollenau in the Vienna Basin. The visual appearance implies, that secondary pedogenic processes might be responsible for a post-depositional input of <sup>10</sup>Be (Willenbring, von Blanckenburg, 2010: <em>Earth. Sci. Rev.</em>). Another case of high <sup>10</sup>Be/<sup>9</sup>Be preventing age calculation was observed in a Pleistocene alluvial environment with intense loess input.</p><p>An ongoing research aims to determine the effects of changes in depositional process, sediment source proximity and provenance on the applicability of the dating method. This research was financially supported by the Slovak Research and Development Agency under contract APVV-16-0121 and by the Hungarian National Research, Development and Innovation Office under contract NKFIH-116618.</p>

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Seismic hazard assessment is an important issue in geological research. Paleoseismological studies of the depositional record contribute significantly to our knowledge of earthquake recurrence over geological time, the distribution of seismically triggered deformations being an area of research that sheds light on temporal patterns of seismic activity. This paper describes soft sediment deformation structures (SSDS) preserved in a periglacial Upper Pleistocene succession of eolian sand in the eastern Vienna Basin, Central Europe. Collapse wedges, which are interpreted as being formed along dilatational fractures, were observed. Further deformations include chaotically disturbed strata, folded strata, and slides. The fractures are oriented systematically in a N-S to NE-SW direction, parallel to the transtensional Vienna Basin Transfer Fault, which lies beneath the study area. Repeated seismic shock is recognized as the trigger of the deformations. The mechanism of deformation implies some degree of cohesion within the deformed strata, and this may be attributed to seasonal frost and the presence of vadose water within the sediment. These deformations appear periodically, in 21 distinct horizons, and it was this that allowed the calculation of the recurrence periods of earthquakes with the use of a Bayesian age-depth model; this, in turn, was based on seven OSL ages. The calculation yielded mean recurrence periods of ca. 150 years, though it should be emphasized that this figure is biased by a relatively high degree of uncertainty in the dating and in the age-depth model. With this caveat, the present study reveals the underexplored potential of periglacial eolian deposits to preserve paleoseismological signals.

The aim of the paper is to study problem of financial derivatives pricing based on the idea of the Heston model introduced in [9]. Following the approach stated in [6] and in [7] we construct the regularised version of the Heston model and the discrete duality finite volume (DDFV) scheme for this model. The numerical analysis is performed for this scheme and stability estimates on the discrete solution and the discrete gradient are obtained. In addition the convergence of the DDFV scheme to the weak solution of the regularised Heston model is proven. The numerical experiments are provided in the end of the paper to test the regularisation parameter impact.

The aim of the paper is to study problem of image segmentation and missing boundaries completion introduced in [Mikula, K.—Sarti, A.––Sgallarri, A.: Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation, Comput. Vis. Sci. 9 (2006), 23–31], [Mikula, K.—Sarti, A.—Sgallari, F.: Co-volume level set method in subjective surface based medical image segmentation, in: Handbook of Medical Image Analysis: Segmentation and Registration Models (J. Suri et al., eds.), Springer, New York, 583–626, 2005], [Mikula, K.—Ramarosy, N.: Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing, Numer. Math. 89 (2001), 561–590] and [Tibenský, M.: VyužitieMetód Založených na Level Set Rovnici v Spracovaní Obrazu, Faculty of mathematics, physics and informatics, Comenius University, Bratislava, 2016]. We generalize approach presented in [Eymard, R.—Handlovičová, A.—Mikula, K.: Study of a finite volume scheme for regularised mean curvature flow level set equation, IMA J. Numer. Anal. 31 (2011), 813–846] and apply it in the field of image segmentation. The so called regularised Riemannian mean curvature flow equation is presented and the construction of the numerical scheme based on the finite volume method approach is explained. The principle of the level set, for the first time given in [Osher, S.—Sethian, J. A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79 (1988), 12–49] is used. Based on the ideas from [Eymard, R.—Handlovičová, A.– –Mikula, K.: Study of a finite volume scheme for regularised mean curvature flow level set equation, IMA J. Numer. Anal. 31 (2011), 813–846] we prove the stability estimates on the numerical solution and the uniqueness of the numerical solution. In the last section, there is a proof of the convergence of the numerical scheme to the weak solution of the regularised Riemannian mean curvature flow equation and the proof of the convergence of the approximation of the numerical gradient is mentioned as well.

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