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68 74 Scherer R, Zsohar M 1998b: Time-Dependent Stochastic Principle Axes as the Basic Tool to Derive General Shape Functions for Non-Stationary Power Spectra, Proc of the 11th

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the period of 1961−2100, but the annual distribution of precipitation is projected to be restructured. However, the hydroclimate of the region is quite variable in space and time ( Kern et al. 2016 ), as the shallow groundwater fluctuations are driven

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Kozyrev N A 1971: In: Time in science and philosophy. Academic Press, Prague, 111–132. Kozyrev N. A. Time in science and philosophy

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-48. C. R. Acad. Bulg. Sci 54 45 48 Stankov S M, Warnant R, Jodogne J C 2002c: Operational model for real-time

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-160 Turner, S., P., R. M. M. George, P. J. Evans, C. J. Hawkesworth, G. F. Zellmer 2000: Time-scales of magma formation, ascent and storage beneath subduction-zone volcanoes. - Phil. Trans. R. Soc. London, A 358, pp. 1433 - 1464

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Turai E, Elsen R, Limbročk K 1992: Analysis of IP Time-Domain Data Measured above a Waste Site Near Offheim using TAU-Transformation of IP Chargeability Curves. JEP 1553-92. TEMPUS project report, DMT-Bochum Turai E

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The multifractal analysis is applied to the study of geomechanical monitoring time series. Estimation of singularity spectra parameters within moving time window for this monitoring time series provides a possibility for splitting the history of observations into few adjacent fragments which could reflect e.g. hidden different states of the rock massif in the vicinity of measuring station. In this contribution, analysis of time series of measured distances is presented. A laser distance meter is used for measuring the height of a large chamber in the medieval Jeroným Mine (Czech Republic). This time series separation into individual segments using singularity spectra parameters is important for possible comprehensive analysis of data in individual time periods and/or between individual time periods.

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The time-series ofδ18O values measured weekly in Lake Balaton gave a chance to estimate the period time. To do this, we used a recently worked-out psd estimation method, the Lomb-Scargle periodogram (Lomb 1976, Press et al. 1992), in which the type of distribution can be given exactly to the power values, so confidence interval can be calculated. The result, however, is only a characteristic mean value of the time-interval examined, so the changes of the period-time were examined by demodulation. The essence of the method is that the process (time-series) is let through a filter that is permeable at merely one frequency, all the other frequency components are filtered out, so the difference from the mean period time can be placed in time. We also examined to what extent the water samples coming from one bay of Lake Balaton are representative of the whole lake. Hierarchical clustering was carried out on the hydrobiological and hydrochemical parameters of water samples coming from ten sites of Lake Balaton to determine the similar sampling sites. After the clustering, part of the sampling sites fell into different groups in the examined 16 sampling times. So the groups were marked in all the 16 sampling times with a code that shows to which group that actual sampling site belongs. In this way, each sampling site was placed in a 16-dimension space. Thus, another clustering became possible, so the grouping related to the given time period could be determined. The result was checked by statistical calculations.

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The paper presents the theoretical basis of data processing method developments based on TAU-transform of the time-domain IP curves and some approximate solutions of the TAU-transform using linear system of equations, Fourier transform and inverse theory.The interpretation ways and results of field measured IP data will be presented in Part II of this paper (Turai 2011).

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