1. Anomalies in time series in Xevents 12 May 20091.... Vien, Austria

2. DMA definition Discrete mathematical analysis (DMA) is an approach to studying of multidimensional massifs and time series, based on modeling of limit in a finite situation, realized in a series of algorithms. The basis of the finite limit was formed on a more stable character, compared to a mathematic character, of human idea of discontinuity and stochasticity. Fuzzy mathematics and fuzzy logic are sufficient for modeling of human ideas and judgments. That was reason why they became technical foundation of DMA. 12 May 20092.... Vien, Austria

3. Density as limit measure DMA General Scheme Fuzzy comparisons of positive numbers Proximity in finite metrical space Limit in finite metrical space Multidimensional Discrete spaces Finite time series FTS Recognition of dense subsets: Crystal. Monolith. Clusterization: Rodin Recognition of linear structure: Tracing Smooth FTS: Equilibrium Monotonous FTS Predication of FTS: Forecast Extremums on FTS Anomalies on FTS: DRAS, FLARS, FCARS Convex FTS Fuzzy logic and geometry on FTS: Geometry measures 12 May 20093.... Vien, Austria

4. 12 May 2009.... Vien, Austria4 Classical Set Classical set has a clear boundary between elements that do and don’t belong to the set. If U is universal set, then a classical subset A  U is defined by the membership function μ(x) that takes only two values: μ(x) =1 for the elements belonging to A and μ(x) =0 for elements not belonging to A.

5. 12 May 2009.... Vien, Austria5 Fuzzy Set A is a fuzzy set in U if there is a map μ: U  0,1 , that shows the degree of inclusion of the element x into the fuzzy set A. μ(x) is called by membership function of the fuzzy set A.

6. 12 May 2009.... Vien, Austria6

7. 12 May 2009.... Vien, Austria7 Fuzzy Sets Approach in Geophysics Lofti Zadeh: A human being thinks not in terms of numbers, but rather in terms of fuzzy notions. Норберт Винер: По-видимому, главное преимущество человека перед компьютером – это его способность оперировать с нечетко очерченными понятиями.

8. FLASAR 12 May 20098.... Vien, Austria

9. La Fournaise volcano 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1998, 1992, 1991, 1990, 1985-88, 1983-84, 1981, 1979, 1977, 1977, 1976, 1975-76, 1973, 1973, 1972, 1966, 1964-65, 1964, 1963, 1961, 1960, 1959, 1958, 1957, 1955-57, 1954, 1953, 1952, 1951, 1950, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1938-39, 1938, 1937, 1936, 1935, 1933-34, 1932, 1931, 1930, 1929, 1926-27, 1925-26, 1924, 1924, 1921, 1920, 1917, 1915, 1913, 1910, 1909, 1908, 1907, 1905, 1904, 1903, 1902, 1901, 1901, 1900, 1899, 1898, 1898, 1897, 1894, 1890-91, 1889, 1884, 1882, 1878, 1876, 1875, 1874, 1874, 1872, 1871, 1870, 1869, 1868, 1865, 1863-64, 1861, 1860, 1859, 1858-59, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1832, 1830, 1824, 1824, 1821, 1820, 1817, 1816, 1815, 1815, 1814, 1813, 1812, 1810, 1809, 1807, 1802, 1801-02, 1800, 1797, 1795, 1794, 1792, 1791, 1789, 1787, 1786, 1784-85, 1776, 1775, 1774, 1772, 1771, 1768, 1766, 1760, 1759, 1753, 1751, 1734, 1734, 1733, 1721, 1709, 1708, 1703, 1672, 1671, 1669, 1649, 1640 12 May 20099.... Vien, Austria

10. 10.... Vien, Austria Monitoring of La Fournais volcano, Reunion, France 12 May 2009

11. Recognition SP- anomalyes, connected with volcanic activity 12 May 200911.... Vien, Austria Eruption

12. FCARS: three vision for one time series 12 May 2009.... Vien, Austria12

13. FCARS: universality 12 May 2009.... Vien, Austria13

14. Agreement “Equilibrium” and “Forecast” Real time series 12 May 200914.... Vien, Austria

15. Extremums on time series 12 May 200915.... Vien, Austria

16. Etna volcano 2005, 2004, 2003, 2002, 2001, 1994, 1993, 1991, 1989, 1988, 1987, 1986, 1985, 1984, 1983, 1981, 1980, 1979, 1978, 1975, 1974, 1971, 1968, 1966, 1959, 1958, 1957, 1955, 1953, 1951, 1950, 1949, 1947, 1946, 1945, 1942, 1940, 1935, 1934, 1931, 1930, 1929, 1928, 1926, 1924, 1923, 1919, 1918, 1917, 1913, 1912, 1911, 1910, 1908, 1899, 1893, 1892, 1891, 1886, 1884, 1883, 1879, 1878, 1874, 1869, 1868, 1865, 1864, 1863, 1857, 1852, 1843, 1842, 1838, 1833, 1832, 1828, 1827, 1822, 1819, 1816, 1811, 1810, 1809, 1803, 1802, 1797, 1792, 1791, 1787, 1781, 1780, 1776, 1770, 1767, 1766, 1764, 1763, 1758, 1755, 1752, 1747, 1744, 1735, 1732, 1723, 1702, 1693, 1689, 1688, 1682, 1669, 1654, 1651, 1646, 1643, 1640, 1634, 1633, 1614, 1610, 1609, 1607, 1603, 1595, 1579, 1578, 1566, 1554, 1550, 1541, 1540, 1537, 1536, 1535, 1533, 1494, 1470, 1447, 1446, 1444, 1408, 1381, 1350, 1334, 1333, 1329, 1321, 1284, 1250, 1222, 1194, 1175, 1169, 1164, 1160, 1157, 1063, 1044, 1004, 0911, 0859, 0814, 0812, 0644, 0604, 0560, 0500, 0417, 0410, 0400, 0252, 0165, 0080, 0072, 0050, 0039, 0010, - 0010, -0032, -0036, -0044, -0049, -0056, -0061, -0122, -0126, -0135, -0141, -0350, -0396, -0425, -0479, -0565, - 0695, -0735, -1050, -1470, -1500, -2330, -3050, -3390, -3510, -4150, -5150, -6190 12 May 200916.... Vien, Austria

17. Algorithm “Monolith”. Etna volcano Interferogram Smooth points1st iteration2nd iteration3rd iteration4th iterationBorders 12 May 200917.... Vien, Austria

18. Algorithm “Monolith”. Etna volcano. Final result 12 May 200918.... Vien, Austria

19. GIS 19.... Vien, Austria12 May 2009

20. GIS 20.... Vien, Austria Цифровая модель высот (разрешение 30") Площадная гидрография, Гидрорельеф, Естественные формы рельефа, Изогоны (1:33 000 000) Фрагмент карты почв (1:1 000 000) 12 May 2009

21. Literature on DMA to Xevents list 12 May 2009.... Vien, Austria21 Gvishiani A.D., Agayan S.M., Bogoutdinov Sh.R., Ledenev A., Zlotnicki J., Bonnin J. Mathematical Methods of Geoinformatics. II. The algorithms of fuzzy logic in the problem of anomalies recognition in time series / / Cybernetics and system analysis. 2003. № 4. p.103-111. Gvishiani A.D., Agayan S.M., Bogoutdinov Sh.R., Zlotnicki J. Algorithms of fuzzy logic in the problem of anomalies recognition in time series / / Sketches of Geophysical Research. By the 75 th anniversary of the Joint Institute of Physics of the Earth RAS. O.Y Schmidt. M.: OIFZ RAS. 2003. p.257-262. Zlotnicki J., Agayan S., Gvishiani A., Bogoutdinov Sh. Telematics and artificial intelligence tools in monitoring of volcanoes // WISTCIS Newsletter. 2003. Vol. 3. November 2002- May 2003. p.58-60. Zlotnicki J., Le Mouel J.-L., Gvishiani A., Agayan S., Mikhailov V., Bogoutdinov Sh., Kanwar R., Yvetot P. Automatic fuzzy-logic recognition of anomalous activity on long geophysical records: Application to electric signals associated with the volcanic activity of La Fournaise volcano (Reunion Island) // Earth and Planetary Science Letters. 2005. Vol. 234. p.261-278.

22. 12 May 2009.... Vien, Austria22 Gvishiani A.D., Agayan S.M., Bogoutdinov Sh.R., Tikhotsky S.A., Hinderer J., Bonnin J., Diament M. Algorithm FLARS and recognition of time series anomalies // System Research & Information Technologies. 2004. №. 3. p.7-16. Agayan S.M., Bogoutdinov Sh.R., Gvishiani A.D., Graeva E.M., Zlotnicki J., Rodkin M.V. Investigation of the morphology of the signal based on the algorithms of fuzzy logic / / Geophysical Research. M.: IFZ RAS. 2005. Vol.1. p. 143-155 Zlotnicki J., LeMouel J.-L., Gvishiani A., Agayan S., Mikhailov V., Bogoutdinov Sh. Automatic fuzzy-logic recognition of anomalous activity on long geophysical records. Application to electric signals associated with the volcanic activity of la Fournaise volcano (Réunion Island) // Earth and Planetary Science Letters. 2005. Vol.234. P.261-278. Bogoutdinov Sh.R., Agayan S.M., Gvishiani A.D., Graeva E.M., Rodkin M.V., Zlotnicki J., Le Mouël J.L. Fuzzy logic algorithms in the analysis of electrotelluric data with reference to monitoring of volcanic activity // Izvestiya, Physics of the Solid Earth. MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC. 2007. Vol. 43. p. 597-609. Literature on DMA to Xevents list

23. 12 May 2009.... Vien, Austria23 Gvishiani A.D., Agayan S.M., Bogoutdinov Sh.R. Fuzzy Recognition of Anomalies in Time Series / / Doklady Earth Sciences, June-July 2008, Vol. 421, № 5, p. 838-843.Doklady Earth Sciences Gvishiani A.D., Agayan S.M., Bogoutdinov Sh.R., Zlotnicki J., Bonnin J. Mathematical Methods of Geoinformatics. III. Fuzzy comparison and recognition of anomalies in time series / / Cybernetics and system analysis. 2008, Vol. 44, № 3, p. 3-18 Literature on DMA to Xevents list