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Abstract

The Laplace transform can be regarded as a transform from the time domain to the frequency domain. For example, applying the Laplace transform, the function x(t) may be transformed into a function of the complex variable p, where

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Bibliography

  • ADAMOPOULOS, A. (1976). Cluster models for earthquakes: regional comparisons. Journal of the International Association for Mathematical Geology, 8, 463–476.

    Article  Google Scholar 

  • ADRAIN, J.M., EDGECOMBE, G.D. and LIEBERMAN, B.S. (2001). Fossils, phylogeny, and form. An analytical approach. Topics in geobiology 19. New York, NY, Kluwer Academic/Plenum.

    Book  Google Scholar 

  • AGTERBERG, F.P., BONHAM-CARTER, G.F., CHENG, Q. and WRIGHT, D.F. (1993). Weights of evidence modeling and weighted logistic regression for mineral potential mapping. In: DAVIS, J. and HERZFELD, J.C. (eds.). Computers in geology – 25 years of progress. Oxford, Oxford University Press, 13–32.

    Google Scholar 

  • AITCHISON, J. (1984). The statistical analysis of geochemical compositions. Journal of the International Association for Mathematical Geology, 16, 531–564.

    Article  Google Scholar 

  • AITCHISON, J. (1986). The statistical analysis of compositional data. London, Chapman and Hall.

    Book  Google Scholar 

  • AITCHISON, J. (2003). The statistical analysis of compositional data. 2nd edn., London, Chapman and Hall.

    Google Scholar 

  • AKIMA, H. (1970). A new method of interpolation and smooth curve fitting based on local procedures. Journal of the Association for Computing Machinery, 17, 589–602.

    Article  Google Scholar 

  • ALLAN, R. (1834). A manual of mineralogy comprehending the more recent discoveries in the mineral kingdom. Edinburgh, Adam and Charles Black.

    Google Scholar 

  • ALLEN, J. (1947). Scale models in hydraulic engineering. London, Longmans Green.

    Google Scholar 

  • ANALYTICAL METHODS COMMITTEE (2002). A simple fitness-for-purpose control chart based on duplicate results obtained from routine test materials. Royal Society of Chemistry, AMC Technical Brief no. 9, London [online: http://www.rsc.org/Membership/Networking/InterestGroups/Analytical/AMC/TechnicalBriefs.asp].

  • ANALYTICAL METHODS COMMITTEE (2003). Terminology – the key to understanding analytical science. Part 1: Accuracy, precision and uncertainty. Royal Society of Chemistry AMC Technical Brief 13, London [online: www.rsc.org/Membership/Networking/InterestGroups/ Analytical/ AMC/TechnicalBriefs.asp].

  • ANDERSON, R.Y. and KOOPMANS, L.H. (1963). Harmonic analysis of varve time series. Journal of Geophysical Research, 68, 877–893.

    Article  Google Scholar 

  • ANDERSSEN, R.S. and SENETA, E. (1971). On smoothing techniques for the removal of periodic noise of known period. Journal of the International Association for Mathematical Geology, 3, 157–170.

    Article  Google Scholar 

  • ANGINO, E.E. and ANDREWS, R.S. (1968). Trace element chemistry, heavy minerals, and sediment statistics of Weddell Sea sediments. Journal of Sedimentary Petrology, 38, 634–642.

    Google Scholar 

  • ANONYMOUS (1890). Conference on map publication. In: POWELL, W.J. (ed.). Tenth Annual Report of the Director of the United States Geological Survey to the secretary of the interior (1888–9). Part I. Geology. Washington, DC, United States Department of the Interior, 56–79.

    Google Scholar 

  • ANOVITZ, L.M. and COLE, D.R. (2015). Characterization and analysis of porosity and pore structures. Reviews in Mineralogy and Geochemistry, 80, 61–164.

    Article  Google Scholar 

  • ARCHER, J.S. and WALL, C.G. (1986). Petroleum engineering. Principles and practice. . London, Graham and Trotman.

    Google Scholar 

  • ARMSTRONG, M.P. and BENNETT, D.A. (1990). A bit-mapped classifier for groundwater quality assessment. Computers & Geosciences, 16, 811–832.

    Article  Google Scholar 

  • BAGNOLD, R.A. (1940). Beach formation by waves: some model experiments in a wave tank. Journal of the Institution of Civil Engineers, 15, 27–52.

    Article  Google Scholar 

  • BAILEY, A.I. (1975). A method of analyzing polymodal distributions in orientation data. Journal of the International Association for Mathematical Geology, 7, 285–294.

    Article  Google Scholar 

  • BAKHUIS ROOZEBOOM, H.W. (1900). Eisen und Stahl vom Standpunkte der Phasenlehre [Iron and steel from the viewpoint of the phase doctrine]. Zeitschrift für physikalische Chemie, 34, 436–487.

    Google Scholar 

  • BAKUN, W.H. and EISENBERG, A. (1970). Fourier integrals and quadrature-introduced aliasing. Bulletin of the Seismological Society of America, 60, 1291–1296.

    Google Scholar 

  • BALANDA, K.P. and MACGILLIVRAY, H.L. (1988). Kurtosis: A critical review. The American Statistician, 42, 111–119.

    Google Scholar 

  • BALK, R. (1948). Structural behaviour of igneous rocks. Ann Arbor, MI, J.W. Edwards.

    Google Scholar 

  • BALL, G.H. (1965). Data analysis in the social sciences: what about the details? In: AFIPS ’65. Proceedings of the American Federation of Information Processing Societies November 30–December 1, 1965 Fall Joint Computer Conference. Part I, Association for Computing Machinery, New York, NY, 533–559.

    Google Scholar 

  • BALL, G.H. and HALL, D.J. (1965). ISODATA, A novel method of data analysis and pattern classification. Technical Report AD 699616, Menlo Park, CA, Stanford Research Institute.

    Google Scholar 

  • BARANOV, W. (1975). Potential fields and their transformations in applied geophysics. Geoexploration Monograph Series 6. Stuttgart, Gebruder Borntraeger.

    Google Scholar 

  • BARENBLATT, G.I. (2003). Scaling. Cambridge, Cambridge University Press.

    Book  Google Scholar 

  • BARNETT, V. (1975). Probability plotting methods and order statistics. Applied Statistics, 24, 95–108.

    Article  Google Scholar 

  • BARRY, C., DE LA BECHE, H.T., SMITH, W. and SMITH, C.H. (1839). Report as the result of an enquiry, undertaken by the authority of the Lords Commissioners of Her Majesty’s Treasury, with reference to the selection of stone for building the New Houses of Parliament. London, Her Majesty’s Commissioners of Woods, Forests, Land Revenues, Works, and Buildings.

    Google Scholar 

  • BARTLETT, M.S. (1950). Periodogram analysis and continuous spectra. Biometrika, 37, 1–16.

    Article  Google Scholar 

  • BATAILLE, K. and CHIU, J.M. (1991). Polarization analysis of high-frequency, three-component seismic data. Bulletin of the Seismological Society of America, 81, 622–642.

    Google Scholar 

  • BATES, R.L. (1960). Geology of the industrial minerals and rocks. New York, NY, Harper & Bros.

    Google Scholar 

  • BEBBINGTON, M., VERE-JONES, D. and ZHENG, X. (1990). Percolation theory: a model for rock fracture? Geophysical Journal International, 100, 215–220.

    Article  Google Scholar 

  • BECKER, R.A., CHAMBERS, J.M. and WILKS, A.R. (1988). The new S language. Pacific Grove, CA, Wadsworth and Brooks/Cole.

    Google Scholar 

  • BEN-MENAHEM, A. and TOKSÖZ, M.N. (1962). Source mechanism from spectra of long-period seismic surface waves. 1. The Mongolian earthquake of December 4, 1937. Journal of Geophysical Research, 67, 1943–1955.

    Article  Google Scholar 

  • BENTON, M.J. (2003). Finding the tree of life: matching phylogenetic trees to the fossil record through the 20th century. Proceedings of the Royal Society, London, ser. B, 268, 2123–2130.

    Google Scholar 

  • BERMAN, R.G. and BROWN, T.H. (1984). A thermodynamic model for multicomponent melts, with application to the system CaO–Al2O3–SiO2. Geochimica et Cosmochimica Acta, 48, 661–678.

    Article  Google Scholar 

  • BESSEL, F.W. (1816). Untersuchungen über die Bahn des Olbersschen Kometen [Studies on the path of Olbers’ comet]. Abhandlungen der Mathematischen Klasse der Koeniglich-Preussischen Akademie der Wissenschaften, Berlin, for 1816, 119–160.

    Google Scholar 

  • BEZDEK, J.C., EHRLICH, R. and FULL, W. (1984). FCM: the fuzzy c-means clustering algorithm. Computers & Geosciences, 10, 191–203.

    Article  Google Scholar 

  • BHATTACHARYYA, B.K. and CHAN, K.C. (1977). Reduction of magnetic and gravity data on an arbitrary surface acquired in a region of high topographic relief. Geophysics, 42, 1411–1430.

    Article  Google Scholar 

  • BILLINGSLEY, F.C. (1965). Digital Video Processing at JPL. In: TURNER, E.B., (ed.). Electronic Imaging Techniques I. Los Angeles April 26, 1965. Proceedings of SPIE, Vol. 3, Bellingham, WA, International Society for Optics and Photonics, XV-1–19 [online: http://dx.doi.org/10.1117/12.970964].

  • BINNIE, A.R. (1892). On the mean or average rainfall and the fluctuations to which it is subject. Proceedings of the Institute of Civil Engineers, London, 109 (3), 89-172.

    Google Scholar 

  • BIOT, J.-B. (1817). Mémoire sur les rotations que certaines substances impriment aux axes de polarisation des rayons lumineux [Memoir on the rotations which certain substances give to the polarization axes of light rays]. Mémoires de l’Académie Royale des Sciences de l’Institut de France, 2, 41-136.

    Google Scholar 

  • BIVAND, R.S., PEBESMA, E.J. and GÓMEZ-RUBIO, V. (2008). Applied spatial data analysis with R. New York, Springer-Verlag.

    Google Scholar 

  • BIVAND, R.S., PEBESMA, E. and GÓMEZ-RUBIO, V. (2013). Applied spatial data analysis with R. 2nd edn., New York, NY, Springer-Verlag.

    Book  Google Scholar 

  • BLACKMAN, R.B. and TUKEY, J.W. (1958). The measurement of power spectra from the point of view of communications engineering. Bell System Technical Journal, 37, 185–282, 485–569.

    Article  Google Scholar 

  • BLAIK, M. and DONN, W.L. (1954). Microseism ground motion at Palisades and Weston. Bulletin of the Seismological Society of America, 44, 597–612.

    Google Scholar 

  • BLAKE, A. (1941). Progress-report on periodicity and time-series. EoS, Transactions of the American Geophysical Union, 22, 407–408.

    Article  Google Scholar 

  • BODE, H.W. (1934). A general theory of electric wave filters. Journal of Mathematical Physics, 13, 275–362.

    Article  Google Scholar 

  • BOHRSON, W.A. and SPERA, F.J. (2001). Energy-constrained open-system magmatic processes. II. Application of energy-constrained assimilation-fractional crystallization (EC-AFC) model to magmatic systems. Journal of Petrology, 42, 1019–1041.

    Article  Google Scholar 

  • BONHAM-CARTER, G.F., AGTERBERG, F.P. and WRIGHT, D.F. (1988). Integration of geological data sets for gold exploration in Nova Scotia. Photogrammetry and Remote Sensing, 54, 1585–1592.

    Google Scholar 

  • BOTBOL, J.M. (1989). Multivariate clustering based on entropy. United States Geological Survey Bulletin 1893, Washington, DC, United States Government Printing Office.

    Google Scholar 

  • BOWEN, N.L. (1912). The binary system: Na2Al2Si2O8 (Nephelite–Carnegieite)–CaAl2Si2O8 (Anorthite). American Journal of Science, ser. 4, 88, 551–578.

    Article  Google Scholar 

  • BOWEN, N.L. (1915). The later stages of the evolution of the igneous rocks. Journal of Geology, 23 (8, supplement), 1–91.

    Google Scholar 

  • BOX, G.E.P. and ANDERSEN, S.L. (1955). Permutation theory in the derivation of robust criteria and the study of departures from assumption. Journal of the Royal Statistical Society, ser. B, 17, 1–34.

    Google Scholar 

  • BOX, G.E.P. and COX, D.R. (1964). An analysis of transformations. Journal of the Royal Statistical Society, 26, 211–252.

    Google Scholar 

  • BOYER, C.B. (1949). Newton as originator of polar coordinates. American Mathematical Monthly, 16, 73–78.

    Article  Google Scholar 

  • BRADLEY, R.A. and TERRY, M.E. (1952). The rank analysis of incomplete block designs. I. The method of paired comparisons. Biometrika, 39, 324–339.

    Google Scholar 

  • BRATKO, I. (2001). Prolog programming for artificial intelligence. 3rd edn., Harlow, Addison-Wesley.

    Google Scholar 

  • BRAVAIS, A. (1846). Analyse mathématique sur les probabilités des erreurs de situation d’un point. [Mathematical analysis of the probabilities of errors on the location of a point]. Mémoires de l’Académie royale des Sciences de l’Institut de France, Paris, 9, 255–332.

    Google Scholar 

  • BRAY, A. and SCHOENBERG, F.P. (2013). Assessment of point process models for earthquake forecasting. Statistical Science, 28, 510–520.

    Article  Google Scholar 

  • BROADBENT, S.R. and HAMMERSLEY, J.M. (1957). Percolation processes. I. Crystals and mazes. Proceedings of the Cambridge Philosophical Society, 53, 629–641.

    Google Scholar 

  • BROTZEN, O. (1975). Analysis of multivariate point distributions and chemical grouping of rocks. Journal of the International Association for Mathematical Geology, 7, 191–214.

    Article  Google Scholar 

  • BROWER, J.C. and MILLENDORF, S.A. (1978). Biostratigraphic correlation within IGCP Project 148. Computers & Geosciences, 4, 217–220.

    Article  Google Scholar 

  • BROWN, C.E. (1998). Applied multivariate statistics in geohydrology and related sciences. Berlin, Springer-Verlag.

    Book  Google Scholar 

  • BROWN, G.O. (2002). Henry Darcy and the making of a law. Water Resources Research, 38 (7), 11.1–11.12.

    Article  Google Scholar 

  • BRUNTON, D.W. (1895). The theory and practice of ore sampling. Transactions of the American Institute of Mining Engineers, 25, 826–844.

    Google Scholar 

  • BUCCIANTI, A., MATEU-FIGUERAS, G. and PAWLOWSKY-GLAHN, V. (eds.) (2006). Compositional data analysis in the geosciences: From theory to practice. London, The Geological Society.

    Google Scholar 

  • BUTTKUS, B. (1991). Spektralanalyse und Filtertheorie in der angewandten Geophysik. Berlin, Springer-Verlag.

    Book  Google Scholar 

  • BUTTKUS, B. (2000). Spectral analysis and filter theory in applied geophysics [translated by C NEWCOMB]. . Berlin, Springer-Verlag.

    Google Scholar 

  • CAERS, J. (2003). History matching under a training image-based geological model constraint. Society of Petroleum Engineers Journal, 8, 218–226.

    Google Scholar 

  • CAERS, J. and HOFFMAN, T. (2006). The probability perturbation method: A new look at Bayesian inverse modelling. Mathematical Geology, 38, 81–100.

    Article  Google Scholar 

  • CALINGAERT, G. and DAVIS, D.S. (1925). Pressure-temperature charts – extended ranges. Industrial and Engineering Chemistry, 17, 1287–1288.

    Article  Google Scholar 

  • CAMINA, A.R. and JANACEK, G.J. (1984). Mathematics for seismic data processing and interpretation. London, Graham and Trotman.

    Book  Google Scholar 

  • CAMPBELL, A.N., HOLLISTER, V.F., DUDA, R.O. and HART, P.E. (1982). Recognition of a hidden mineral deposit by an artificial intelligence program. Science, 217, 927–929.

    Article  Google Scholar 

  • CAMPBELL, G.A. (1922). Physical theory of the electric wave-filter. Bell System Technical Journal, 1 (2), 1–32.

    Article  Google Scholar 

  • CAMPBELL, N.A. (1980). Robust procedures in multivariate analysis. Robust covariance estimation. Applied Statistics, 29, 231–237.

    Google Scholar 

  • CAMPBELL, N.A. (1982). Robust procedures in multivariate analysis. II. Robust canonical multivariate analysis. Applied Statistics, 31, 1–8.

    Article  Google Scholar 

  • CAMPBELL, N.A. and ATCHLEY, W.R. (1981). The geometry of canonical variate analysis. Systematic Zoology, 30, 268–280.

    Article  Google Scholar 

  • CASSINI, J. (1720). De la grandeur et de la figure de la Terre [On the size and figure of the Earth]. Paris, L’Imprimerie Royale.

    Google Scholar 

  • CATERINA, D., HERMANS, T and NGUYEN, F. (2014). Case studies of incorporation of prior information in electrical resistivity tomography: comparison of different approaches. Near Surface Geophysics, 12, 451–465.

    Article  Google Scholar 

  • CAUCHY, A.-L. (1825). Memoire sur les intégrales définies: prises entre des limites imaginaires [Note on definite integrals: taken between imaginary limits]. Paris, Bures Freres.

    Google Scholar 

  • CAUCHY, A.-L. (1827). Exercices de mathématiques. Seconde année [Mathematical practice. Year 2]. Paris, Gauthier-Villars.

    Google Scholar 

  • CAVALLI-SFORZA, L.L. and EDWARDS, A.W.F. (1967). Phylogenetic analysis. Models and estimation procedures. American Journal of Human Genetics, 19, 233–257.

    Google Scholar 

  • CAYLEY, A. (1858). A memoir on the theory of matrices. Philosophical Transactions of the Royal Society, London, 148, 17–37.

    Article  Google Scholar 

  • CEBRIÁ, J.M. and LÓPEZ-RUIZ, J. (1992). TRAZAS: A program for trace-element modeling of igneous processes. Computers & Geosciences, 18, 689–696.

    Article  Google Scholar 

  • CHAMBERLIN, R.T. (1910). The Appalachian folds of central Pennsylvania. The Journal of Geology, 18, 228–251.

    Article  Google Scholar 

  • CHAMBERS, J.M.; CLEVELAND, W.S., KLEINER, B. and TUKEY, P.A. (1983). Graphical methods for data analysis. Belmont, CA , Wadsworth International.

    Google Scholar 

  • CHAPMAN, S. (1915). The lunar diurnal magnetic variation, and its change with lunar distance. Philosophical Transactions of the Royal Society, London, ser. A, 215, 161–176.

    Google Scholar 

  • CHAPMAN, S. and BARTELS, J. (1940). Geomagnetism. II. Analysis of the data and physical theories. Oxford, Clarendon Press.

    Google Scholar 

  • CHAYES, F. (1949). On correlation in petrography. Journal of Geology, 57, 239–254.

    Article  Google Scholar 

  • CHAYES, F. (1956). Petrographic modal analysis. New York, NY, John Wiley & Sons.

    Google Scholar 

  • CHAYES, F. (1960). On correlation between variables of constant sum. Journal of Geophysical Research, 65, 4185–4193.

    Article  Google Scholar 

  • CHAYES, F. (1962). Numerical correlation and petrographic variation. Journal of Geology, 70, 440–452.

    Article  Google Scholar 

  • CHAYES, F. (1971). Ratio correlation. Chicago, University of Chicago Press.

    Google Scholar 

  • CHAYES, F. and KRUSKAL, W. (1966). An approximate statistical test for correlations between proportions. Journal of Geology, 74, 692–702.

    Article  Google Scholar 

  • CHIAO, L.-Y. (1985). FORTRAN-V program for contouring point density on Pi-diagrams using a microcomputer. Computers & Geosciences, 11, 647–657.

    Article  Google Scholar 

  • CHORK, C.Y. and ROUSSEEUW, P.J. (1992). Integrating a high-breakdown option into discriminant analysis in exploration geochemistry. Journal of Geochemical Exploration, 43, 191–203.

    Article  Google Scholar 

  • CHRISTAKOS, G. (1990). A Bayesian/maximum-entropy view to the spatial estimation problem. Mathematical Geology, 22, 763–776.

    Article  Google Scholar 

  • CHUNG, C.-J.F. (1988). Confidence bands for the distribution and quantile functions for truncated and randomly censored data. In: CHUNG, C.F., FABBRI, A.G. and SINDING-LARSEN, R. (eds.). Quantitative analysis of mineral and energy resources. Proceedings of the NATO Advanced Study Institute on Statistical Treatments for Estimation of Mineral and Energy Resources, Il Ciocco. Italy. Dordrecht, Reidel, 433–458.

    Google Scholar 

  • CHUNG, C.-J.F. (1989a). FORTRAN 77 program for Poisson regression. Computers & Geosciences, 15, 615–623.

    Article  Google Scholar 

  • CHUNG, C.-J. F. (1989b). FORTRAN77 program for constructing and plotting confidence bands for the distribution and quantile functions for truncated data. Computers & Geosciences, 15, 625–643.

    Google Scholar 

  • CHUNG, C.-J. F. (1989c). FORTRAN77 program for constructing and plotting confidence bands for the distribution and quantile functions for randomly censored data. Computers & Geosciences, 15, 645–668.

    Google Scholar 

  • CHUNG, C.-J.F. and AGTERBERG, F.P. (1980). Regression models for estimating mineral resources from geological map data. Journal of the International Association for Mathematical Geology, 12, 473–488.

    Article  Google Scholar 

  • CLARK, R.H. and MCINTYRE, D.B. (1951a). The use of the terms pitch and plunge. American Journal of Science, 249, 591–599.

    Article  Google Scholar 

  • CLARKE, W.J. (1901). The unconformity in the Coal-Measures of the Shropshire Coal-fields. Quarterly Journal of the Geological Society, London, 57, 86–95.

    Article  Google Scholar 

  • CLOOS, E. (1955). Experimental analysis of fracture patterns. Bulletin of the Geological Society of America, 66, 241–256.

    Article  Google Scholar 

  • COCHRAN, W.G., MOSTELLER, F. and TUKEY, J.W. (1954). Principles of sampling. Journal of the American Statistical Association, 49, 13–35.

    Article  Google Scholar 

  • CONDORCET, M. de. (1773). Memoire sur les equations aux différence partielles [Memoir on partial difference equations]. Histoire de l’Académie royale des sciences, for 1770, 151–178.

    Google Scholar 

  • CONNOLLY, J.A.D. and PETRINI, K. (2002). An automated strategy for calculation of phase diagram sections and retrieval of rock properties as a function of physical conditions. Journal of Metamorphic Geology, 20, 697–708.

    Article  Google Scholar 

  • CONRAD, W.K. (1987). A FORTRAN program for simulating major- and trace-element variations during Rayleigh fractionation with melt replenishment or assimilation. Computers & Geosciences, 13, 1–12.

    Article  Google Scholar 

  • COOLEY, J.W. and TUKEY, J.W. (1965). An algorithm for the machine computation of complex Fourier series. Mathematics of Computation, 19, 297–301.

    Article  Google Scholar 

  • COOLEY, R.L. (1983). Incorporation of prior information on parameters into nonlinear regression groundwater flow models. II. Applications. Water Resources Research, 19, 662–676.

    Article  Google Scholar 

  • COOLIDGE, J.J. (1952). The origin of polar coordinates. American Mathematical Monthly, 59, 78–85.

    Article  Google Scholar 

  • COSTAIN, J.K. and ÇORUH, C. (2004). Basic theory of exploration seismology with Mathematica notebooks and examples on CD-ROM. Amsterdam, Elsevier.

    Google Scholar 

  • COX, D.R. and LEWIS, P.A.W. (1966). The statistical analysis of series of events. London, Methuen.

    Book  Google Scholar 

  • CRANDALL, I.B. (1926). Theory of vibrating systems and sound. New York, NY, Van Nostrand.

    Google Scholar 

  • CREPET, W.L., NIXON, K.C. and GANDOLFO, M.A. (2004). Fossil evidence and phylogeny: the age of major angiosperm clades based on mesofossil and macrofossil evidence from Cretaceous deposits. American Journal of Botany, 91, 1666–1682.

    Article  Google Scholar 

  • CROVELLI, R.A. and BALAY, R.H. (1991). A microcomputer program for energy assessment and aggregation using the triangular probability distribution. Computers & Geosciences, 17, 197–225.

    Article  Google Scholar 

  • CROWELL, J.C. (1955). Directional-current structures from the Prealpine Flysch, Switzerland. Bulletin of the Geological Society of America, 66, 1851–1884.

    Article  Google Scholar 

  • CURL, R.C. (1998). Bayesian estimation of isotopic age differences. Mathematical Geology, 20, 693–698.

    Article  Google Scholar 

  • D’ORAZIO, M. (1993). A Macintosh Basic program for the interactive testing of combined assimilation and fractional crystallization. Computers & Geosciences, 19, 483–492.

    Article  Google Scholar 

  • DANIELS, G. (2002). Human blood groups. 2nd edn., Oxford, Blackwell Publishing.

    Book  Google Scholar 

  • DANYUSHEVSKY, L.V. (2001). The effect of small amounts of H2O on crystallisation of mid-ocean ridge and backarc basin magmas. Journal of Volcanology and Geothermal Research, 110, 265–280.

    Article  Google Scholar 

  • DARCY, H. (1856). Les Fontaines Publiques de la ville de Dijon [The public fountains of the town of Dijon]. Paris, Libraire des Corps Impériaux des Ponts et Chaussées et des Mines.

    Google Scholar 

  • DARWIN, C. (1859). On the origin of species by means of natural selection, or the preservation of favoured races in the struggle for life. London, John Murray.

    Book  Google Scholar 

  • DAUBRÉE, [G.] A. (1879). Études synthétiques de géologie expérimentale [Man-made studies of experimental geology]. Paris, Dunod.

    Google Scholar 

  • DAVIDON, W.C. (1959). Variable metric method for minimization. AEC Research and Development Report ANL-5990, Lemont, IL, Argonne National Laboratory.

    Google Scholar 

  • DAVIDSON, R.R. (1970). On extending the Bradley-Terry model to accommodate ties in paired comparison experiments. Journal of the American Statistical Association, 65, 317–328.

    Article  Google Scholar 

  • DAVIS, M.W. (1987b). Generating large stochastic simulations – The matrix polynomial approximation method. Mathematical Geology, 19, 99–107.

    Article  Google Scholar 

  • DAVISON, C. (1893). On the annual and semi-annual seismic periods. Philosophical Transactions of the Royal Society, London, ser. A, 184, 1107–1169.

    Google Scholar 

  • DAY, A.L. and SHEPHERD, E.S. (1906). The Phase Rule and igneous magmas; discussion. Economic Geology, 1, 286–288.

    Article  Google Scholar 

  • DAY, A.L., SHEPHERD, E.S. and WRIGHT, F.E. (1906). The lime-silica series of minerals. American Journal of Science, ser. 4, 22, 265–302.

    Article  Google Scholar 

  • DAYRAT, B. (2003). The roots of phylogeny: How did Haeckel build his trees? Systematic Biology, 52, 515–527.

    Google Scholar 

  • DE PAOR, D.G. (1991). Computer-aided pole figure construction. Computers & Geosciences, 17, 973–983.

    Article  Google Scholar 

  • DECH, V.N. and HENLEY, S. (2003). On the scientific heritage of Prof. A.B. Vistelius. Mathematical Geology, 35, 363–379.

    Article  Google Scholar 

  • DELESSE, A. (1848). Procédé méchanique pour déterminer la composition des roches [Mechanical procedure for determining the composition of rocks]. Annales des Mines, ser. 4, 13, 379–388.

    Google Scholar 

  • DEMIRMEN, F. (1971). Counting error in petrographic point count analysis: A theoretical and experimental study. Journal of the International Association for Mathematical Geology, 3, 15–42.

    Article  Google Scholar 

  • DEMIRMEN, F. (1972). Operator error in point count analysis: A theoretical approach. Journal of the International Association for Mathematical Geology, 4, 35–44.

    Article  Google Scholar 

  • DESCARTES, R. (1637). Discours de la Méthode pour bien conduire sa raison, et chercher la vérité dans les sciences [Treatise on the method for rightly conducting reasoning and seeking truth in the sciences]. Leyden, Jan Maire.

    Google Scholar 

  • DEVLIN, S.J., GNANADESIKAN, R. and KETTENRING, J.R. (1981). Robust estimation of dispersion matrices and principal components. Journal of the American Statistical Association, 76, 354–362.

    Article  Google Scholar 

  • DIJKSTRA, E.W. (1962). A primer of Algol 60 programming. London, Academic Press.

    Google Scholar 

  • DONE, W.J., KIRLIN, R.L. and MOGHADDAMJOO, A. (1991). Two-dimensional coherent noise suppression in seismic data using eigendecomposition. IEEE Transactions on Geoscience and Remote Sensing, 29, 379–384.

    Article  Google Scholar 

  • DONOGHUE, M.J., DOYLE, J.A., GAUTHIER, J., KLUGE, A.G. and ROWE, T. (1989). The importance of fossils in phylogeny reconstruction. Annual Review of Ecology and Systematics, 20, 431–460.

    Article  Google Scholar 

  • DOUGLAS, J. (1927). The general geometry of paths. Annals of Mathematics, 29, 143–168.

    Article  Google Scholar 

  • DRAGOSET, W. (2005). A historical reflection on reflections. The Leading Edge , 24 [supplement], S46–S71.

    Google Scholar 

  • DRESSER, J.A. (1909). On the asbestos deposits of the eastern townships of Quebec. Economic Geology, 4, 130–140.

    Article  Google Scholar 

  • DRYDEN, L. (1935). A statistical method for the comparison of heavy mineral suites. American Journal of Science, 29, 393–408.

    Article  Google Scholar 

  • DUNSTAN, S.P. and MILL, A.J.B. (1989). Spatial indexing of geological models using linear octrees. Computers & Geosciences, 15, 1291–1301.

    Article  Google Scholar 

  • EBERHART, R. and KENNEDY, J. (1995). A new optimizer using particle swarm theory. In: Proceedings of the Sixth international symposium on micro-machine and human science. Nagoya Municipal Industrial Research Institute, Oct. 4–6, 1995, Piscataway, NJ, Institute of Electrical and Electronic Engineers, 39–43.

    Google Scholar 

  • EDDELBUETTEL, D. (2006). Random: An R package for true random numbers [online: https://cran.r-project.org/web/packages/random/random-intro.pdf].

  • EDWARDS, A.F.W. (2009). Statistical methods for evolutionary trees. Genetics, 183, 5–12.

    Article  Google Scholar 

  • EDWARDS, L.E. and BEAVER, R.J. (1978). The use of paired comparison model in ordering stratigraphic events. Journal of the International Association for Mathematical Geology, 10, 261–272.

    Article  Google Scholar 

  • EGOZCUE, J.J., PAWLOWSKY-GLAHN, V., MATEU-FIGUERAS, G. and BARCELÓ-VIDAL, C. (2003). Isometric logratio transformations for compositional data analysis. Mathematical Geology, 35, 279–300.

    Article  Google Scholar 

  • EINSTEIN, A. (1907). Relativitätsprinzip und die aus demselben gezogenen Folgerungen [On the relativity principle and the conclusions drawn from it]. Jahrbuch der Radioaktivitat und Elektronik, 4, 411–462.

    Google Scholar 

  • EINSTEIN, A. (1914). Méthode pour la détermination de valeurs statistiques d’observations concernant des grandeurs soumises à des fluctuations irrégulières [Method for determining statistical values of observations concerning quantities subject to irregular fluctuations]. Archive des Sciences Physiques et Naturelles, ser. 4, 37, 254–256.

    Google Scholar 

  • EISENHART, C. (1935). A test for the significance of lithological variations. Journal of Sedimentary Petrology, 5, 137–145.

    Google Scholar 

  • ELKINS, T.A. (1940). The reliability of anomalies on the basis of probability considerations. Geophysics, 5, 321–336.

    Article  Google Scholar 

  • ERSOY, Y. and HELVACI, C. (2010). FC-AFC-FCA and mixing modeler: A Microsoft Excel spreadsheet program for modeling geochemical differentiation of magma by fractional crystallization, crustal assimilation and mixing. Computers & Geosciences, 36, 383–390.

    Article  Google Scholar 

  • EULER, L. (1748). Introductio in analysin infinitorum [Introduction to the analysis of the infinite]. I. Lausanne, M.-M. Bousquet.

    Google Scholar 

  • EVERITT, B. and HOTHON, T. (2006). A handbook of statistical analysis using R. Boca Raton, FL, Chapman and Hall/CRC Press.

    Book  Google Scholar 

  • FANCHER, G.H., LEWIS, J.A. and BARNES, K.B. (1933). Some physical characteristics of oil sands. In: Proceedings of the Third Pennsylvania Mineral Industries Conference, Petroleum and Natural Gas Section held at the Pennsylvania State College, May 5–6, 1933. The Pennsylvania State College Bulletin. Mineral Industries Experiment Section. Bulletin 12. State College, PA, The Pennsylvania State College, 65–167.

    Google Scholar 

  • FARRAR, J. (1822). An elementary treatise on the application of trigonometry to orthographic and stereographic projection, dialling, mensuration of heights and distances, navigation, nautical astronomy, surveying and levelling. Cambridge, The University Press.

    Google Scholar 

  • FATOU, P. (1906). Séries trigonométriques et séries de Taylor. Acta Mathematica, 30, 335–400.

    Article  Google Scholar 

  • FEIGENBAUM, M.J. (1979). The universal metric properties of nonlinear transformations. Journal of Statistical Physics, 21, 669–706.

    Article  Google Scholar 

  • FEIGENBAUM, M.J. (1980). The metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence. Annals of the New York Academy of Sciences, 357, 330–336.

    Article  Google Scholar 

  • FELLER, W. (1950). An introduction to probability theory and its applications. v. 1. New York, NY, John Wiley & Sons.

    Google Scholar 

  • FELSENSTEIN, J. (2004). Inferring phylogenies. Sunderland, MS, Sinauer Associates.

    Google Scholar 

  • FERMAT, P. de (1679). Varia opera mathematica [Various mathematical works]. Toulouse, Johan Pech.

    Google Scholar 

  • FERNÁNDEZ MARTÍNEZ, J.L., GARCÍA GONZALO, E., FERNÁNDEZ ÁLVAREZ, J.P., KUZMA, H.A. and MENÉNDEZ PÉREZ, C.O. (2010). PSO: A powerful algorithm to solve geophysical inverse problems. Application to a 1D-DC resistivity case. Journal of Applied Geophysics, 71, 13–25.

    Article  Google Scholar 

  • FINCH, R.H. (1924). Seismic sequences of the explosive eruption of Kilauea in May, 1924. Bulletin of the Seismological Society of America, 14, 217–222.

    Google Scholar 

  • FISHER, N.I. (1993). Statistical analysis of circular data. Cambridge, Cambridge University Press.

    Book  Google Scholar 

  • FISHER, P.F. and BALACHANDRAN, C.S. (1989). STAX: a Turbo Prolog rule-based system for soil classification. Computers & Geosciences, 15, 295–324.

    Article  Google Scholar 

  • FISHER, R.A. (1922b). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society, London, ser. A, 222, 309–368.

    Google Scholar 

  • FISHER, R.A. (1925a). Statistical methods for research workers. Edinburgh, Oliver and Boyd.

    Google Scholar 

  • FISHER, R.A. (1925b). Theory of statistical estimation. Proceedings of the Cambridge Philosophical Society, 22, 700–725.

    Google Scholar 

  • FISHER, R.A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7, 179–188.

    Article  Google Scholar 

  • FISHER, R.A. (1950). Contributions to mathematical statistics. London, Chapman and Hall.

    Google Scholar 

  • FLETCHER, R. and POWELL, M.J.D. (1963). A rapidly convergent descent method for minimization. Computer Journal, 6, 163–168.

    Article  Google Scholar 

  • FLETCHER, R. and REEVES, C.M. (1964). Function minimization by conjugate gradients. The Computer Journal, 7, 149–154.

    Article  Google Scholar 

  • FLINN, D. (1962). On folding during three-dimensional progressive deformation. Quarterly Journal of the Geological Society, London, 118, 385–433.

    Article  Google Scholar 

  • FLINN, E.A. (1965). Signal analysis using rectilinearity and direction of particle motion. Proceedings of the IEEE, 53, 1874–1876.

    Google Scholar 

  • FOLK, R.L. and WARD, W.C. (1957). Brazos River Bar: A study in the significance of grain size parameters. Journal of Sedimentary Petrology, 27, 3–26.

    Article  Google Scholar 

  • FORNBERG, B. (1987). The pseudospectral method: Comparisons with finite differences for the elastic wave equation. Geophysics, 52, 483–501.

    Article  Google Scholar 

  • FORSYTH, A.R. (1893). Theory of functions of a complex variable. Cambridge, Cambridge University Press.

    Google Scholar 

  • FOURIER, J.-B.-J. (1808). Mémoire sur la propagation de la chaleur dans les corps solides [Présenté le 21 décembre 1807 à l’Institut national]. Nouveau Bulletin des sciences par la Société philomatique de Paris, 1 (6), 112–116.

    Google Scholar 

  • FOX, W.T. (1964). FORTRAN and FAP program for calculating and plotting time-trend curves using an IBM 7090 or 7094/1401 computer system. Kansas Geological Survey Special Distribution Publication 12, Lawrence, KS, Kansas Geological Survey.

    Google Scholar 

  • FRASER, H.J. (1935). Experimental study of the porosity and permeability of clastic sediments. The Journal of Geology, 43, 910–1010.

    Article  Google Scholar 

  • FRICKE, J.R. (1988). Reverse-time migration in parallel: A tutorial. Geophysics, 53, 1143–1150.

    Article  Google Scholar 

  • FU, C.Y. (1947a). On seismic rays and waves. I. Bulletin of the Seismological Society of America, 37, 331–346.

    Google Scholar 

  • FU, C.Y. (1947b). Studies on seismic waves: III. Propagation of elastic waves in the neighborhood of a free boundary. Geophysics, 12, 57–71.

    Google Scholar 

  • FU, K. S. (1968). Sequential methods in pattern analysis and machine learning. London, Academic Press.

    Google Scholar 

  • GADOLIN, J. (1781). Dissertatio chemica. De analysi ferri [Chemical dissertation. The analysis of iron. Faculty of Philosophy, Uppsala University]. Uppsala, Joh. Edman.

    Google Scholar 

  • GAL’PERIN, E.I. (1977). Poliarizatsionny ĭ metod seĭsmicheskikh issledovaniĭ [The polarization method of seismic exploration]. Moscow, Nedra.

    Google Scholar 

  • GAL’PERIN, E.I. (1983). The polarization method of seismic exploration [translated by B. KUZNETSOV and M. SAMOKHVALOV]. Dordrecht, D. Reidel.

    Google Scholar 

  • GALTON, F. (1877). Typical laws of heredity. Nature, 15, 492–495, 512–514, 532–533.

    Google Scholar 

  • GALTON, F. (1885). Some results of the Anthropometric Laboratory. Journal of the Anthropological Institute, 14, 275–287.

    Google Scholar 

  • GALTON, F. (1888). Co-relations and their measurement. Proceedings of the Royal Society, London, 45, 135–145.

    Google Scholar 

  • GALTON, F. (1889). Natural inheritance. London, Macmillan.

    Book  Google Scholar 

  • GARRETT, R.G. and GOSS, T.I. (1980a). The statistical appraisal of survey effectiveness in regional geochemical surveys for Canada’s uranium reconnaissance program. Journal of the International Association for Mathematical Geology, 12, 443–458.

    Article  Google Scholar 

  • GARRETT, R.G. and GOSS, T.I. (1980b). UANOVA: A FORTRAN IV program for unbalanced nested analysis of variance. Computers & Geosciences, 6, 35–60.

    Article  Google Scholar 

  • GEIGER, D.L. and GROVES, L.T. (1999). Review of fossil abalone (Gastropoda: Vetigastropoda: Haliotidae) with comparison to recent species. Journal of Palaeontology, 73, 872–885.

    Article  Google Scholar 

  • GENTLE, J.E. (1998). Random number generation and Monte Carlo methods. New York, NY, Springer-Verlag.

    Book  Google Scholar 

  • GHIL, M. and CHILDRESS, S. (1987). Topics in geophysical fluid dynamics: Atmospheric dynamics, dynamo theory, and climate dynamics. New York, NY, Springer-Verlag.

    Book  Google Scholar 

  • GIBBONS, R.D. (1994). Statistical methods for groundwater monitoring. New York, NY, John Wiley & Sons.

    Book  Google Scholar 

  • GIBBS, J.W. (1876). On the equilibrium of heterogeneous substances. Transactions of the Connecticut Academy of Arts and Sciences, 3, 108–248.

    Google Scholar 

  • GIBBS, J.W. (1878a). On the equilibrium of heterogeneous substances. American Journal of Science, 8, 441–458.

    Article  Google Scholar 

  • GIBBS, J.W. (1878b). On the equilibrium of heterogeneous substances (concluded). Transactions of the Connecticut Academy of Arts and Sciences, 3, 343–524.

    Google Scholar 

  • GILBERT, J.S. and SPARKS, R.S.J. (eds.) (1998). The physics of explosive volcanic eruptions. Special Publication 145. London, The Geological Society of London.

    Google Scholar 

  • GOLUBITSKY, M., STEWART, I. and SCHAEFFER, D.G. (1985). Singularities and groups in bifurcation theory. I. New York, NY, Springer-Verlag.

    Google Scholar 

  • GOOGLE RESEARCH (2012). Google Books Ngram Viewer (v. 2.0) [online: https://books.google.com/ ngrams/info].

  • GORDON, A.D. and BUCKLAND, S.T. (1996). A permutation test for assessing the similarity of ordered sequences. Mathematical Geology, 28, 735–742.

    Article  Google Scholar 

  • GRAF, J.C. (1993). Lunar soils grain size catalog. NASA Reference Publication 1265 [http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19930012474.pdf], Houston, TX, Johnson Space Center.

  • GREEN, G. (1828). An essay on the application of mathematical analysis to the theories of electricity and magnetism. Nottingham, T. Wheelhouse.

    Google Scholar 

  • GREENBERG, B.G. and SARHAN, A.E. (1959). Matrix inversion, its interest and application in analysis of data. Journal of the American Statistical Association, 54, 755–766.

    Google Scholar 

  • GREVILLE, T.N.E. (1959). The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations. SIAM Review, 1, 38–43.

    Article  Google Scholar 

  • GROENEVELD, R.A. (1998). A class of quantile measures for kurtosis. The American Statistician, 51, 325–329.

    Google Scholar 

  • GROHMANN, C.H. and CAMPANHA, G.A. (2010). OpenStereo: Open source, cross-platform software for structural geology analysis. Abstract no. IN31C-06. In: American Geophysical Union, Fall Meeting. San Francisco, California, 13–17 Dec 2010. Abstracts Vol 1, 6. Washington, DC, American Geophysical Union. [http://www.igc.usp.br/index. php?id= openstereo].

  • GUBBINS, D. (2004). Time series analysis and inverse theory for geophysicists. Cambridge, Cambridge University Press.

    Book  Google Scholar 

  • GUCKENHEIMER, J. and HOLMES, P. (1983). Nonlinear oscillations, dynamical systems and bifurcations of vector fields. New York, NY, Springer-Verlag.

    Book  Google Scholar 

  • HAEKEL, E. (1866). Generelle morphologie der organismen [General morphology of organisms]. Berlin, Georg Reimer.

    Google Scholar 

  • HAHN, G.J. and MEEKER, W.Q. (1991). Statistical Intervals. New York, NY, John Wiley & Sons.

    Book  Google Scholar 

  • HAMILTON, W.R. (1841). Researches respecting vibration, connected with the theory of light. Proceedings of the Royal Irish Academy, 1, 341–349.

    Google Scholar 

  • HARBAUGH, J.W. (1964). BALGOL programs for calculation of distance coefficients and correlation coefficients using an IBM 7090 computer. Kansas Geological Survey Special Distribution Publication 9, Lawrence, KS, Kansas Geological Survey.

    Google Scholar 

  • HARKRIDER, D.G. and ANDERSON, D.L. (1962). Computation of surface wave dispersion for multilayered anisotropic media. Bulletin of the Seismological Society of America, 52, 321–332.

    Google Scholar 

  • HARMAN, H.H. (1960). Modern factor analysis. Chicago, IL, University of Chicago Press.

    Google Scholar 

  • HARMAN, W.W. (1950). Relation of Nyquist diagram to pole-zero plots in the complex frequency plane. Proceedings of the Institute of Radio Engineers, 38, 1454–1455.

    Google Scholar 

  • HARRADON, H.D. (1943a). Some early contributions to the history of geomagnetism. Terrestrial Magnetism and Atmospheric Electricity, 48, 3–17.

    Article  Google Scholar 

  • HARRIS, F.J. (1978). On the use of windows for harmonic analysis with the discrete Fourier transform. Proceedings of the IEEE, 66, 51–83.

    Google Scholar 

  • HARRIS, J. (1723). Elements of plain and spherical trigonometry; together with the principles of spherik geometry and several projections of the sphere in plano. 2nd edn., London, D. Midwinter.

    Google Scholar 

  • HART, P.E. (1975). Progress on a computer-based consultant. In: Advance Papers of the Fourth International Joint Conference on Artificial Intelligence. Tbilisi, Georgia, USSR, 3–8th September 1975), vol. 2, Artificial Intelligence Laboratory, Cambridge, MA, 831–841.

    Google Scholar 

  • HART, P.E., DUDA, R.O. and EINAUDI, M.T. (1978). PROSPECTOR – a computer-based consultation system for mineral exploration. Journal of the International Association for Mathematical Geology, 10, 589–610.

    Article  Google Scholar 

  • HARTER, H.L. (1984). Another look at plotting positions. Communications in Statistics – Theory and Methods, 13, 1613–1633.

    Article  Google Scholar 

  • HAWKES, A.G. (1971a). Spectra of some self-exciting and mutually exciting point processes. Biometrika, 58, 83–90.

    Article  Google Scholar 

  • HAWKES, A.G. ( 1971b). Point spectra of some mutually exciting point processes. Journal of the Royal Statistical Society, ser. B, 33, 438–443.

    Google Scholar 

  • HAWKES, A.G. (1972). Spectra of some mutually exciting point processes with associated variables. In: LEWIS, P.A.W. (ed.). Stochastic point processes. New York, NY, John Wiley & Sons, 261–271.

    Google Scholar 

  • HAZEN, A. (1914). Storage to be provided in impounding reservoirs for municipal water supply. Transactions of the American Society of Civil Engineers, 77, 1539–1640 [Discussion 1641–1669].

    Google Scholar 

  • HEADLEE, A.J.W. and JOSEPH, J.S. (1931). Permeability, porosity, oil and water content of natural gas reservoirs. West Virginia Geological Survey Bulletin no. 8, Morgantown, WV, West Virginia Geological Survey.

    Google Scholar 

  • HECTOR, B. and HINDERER, J. (2016). pyGrav: a Python-based program for handling and processing relative gravity data. Computers & Geosciences, 91, 90–97.

    Article  Google Scholar 

  • HEILAND, C.A. (1940). Geophysical exploration. New York, Prentice-Hall.

    Google Scholar 

  • HELSEL, D.R. (2005). Nondetects and data analysis. Hoboken, NJ, Wiley-Interscience.

    Google Scholar 

  • HENRION, R., HENRION, G. and ONUOHA, G.C. (1992). Multi-way principal components analysis of a complex data array resulting from physicochemical characterisation of natural waters. Chemometrics and Intelligent Laboratory Systems, 16, 87–94.

    Article  Google Scholar 

  • HILDEBRAND, S.T. (1981). Linear prediction error filter design. Geophysics, 46, 875–879.

    Article  Google Scholar 

  • HILL, R.A. (1940). Geochemical patterns in Coachella Valley, California. Transactions of the American Geophysical Union, 21, 46–49.

    Article  Google Scholar 

  • HIPSLEY, C.A. and MÜLLER, J. (2014). Beyond fossil calibrations: realities of molecular clock practices in evolutionary biology. Frontiers in Genetics, 5, 138+ [online: https://doi.org/10.3389/fgene. 2014.00138].

  • HOARE, C.A.R. and WIRTH, N. (1973). An axiomatic definition of the programming language Pascal. Acta Informatica, 2, 335–355.

    Article  Google Scholar 

  • HOBBS, B.E., MEANS, W.D. and WILLIAMS, P.F. (1976). An outline of structural geology. New York, NY, John Wiley & Sons.

    Google Scholar 

  • HOHN, M.E. (1993). Principal component analysis of three-way data. In: DAVIS, J.C. and HERZFELD, U.C. (eds.). Computers in geology – 25 years of progress. Oxford, Oxford University Press, 181–194.

    Google Scholar 

  • HOLM, P.E. (1988). Petrogenetic modeling with a spreadsheet program. Journal of Geological Education, 36, 155–156.

    Article  Google Scholar 

  • HOLM, P.E. (1990). Complex petrogenetic modeling using spreadsheet software. Computers & Geosciences, 16, 1117–1122.

    Article  Google Scholar 

  • HOOVER, T.J. (1948). Sampling. In: The economics of mining (non-ferrous metals). Valuation – organization – management. 3rd edn., Stanford, CA, Stanford University Press, 42–88.

    Google Scholar 

  • HOPKINS, W. (1839). Researches in physical geology. Philosophical Transactions of the Royal Society, 129, 381–423.

    Article  Google Scholar 

  • HORTON, C.W., HEMPKINS, W.B. and HOFFMAN, A.A.J. (1964). A statistical analysis of some aeromagnetic maps from the northwestern Canadian Shield. Geophysics, 29, 582–601.

    Article  Google Scholar 

  • HORTON, R.E. (1896). Use of the theory of probabilities. In: ADAMS, C.W. (ed.). Annual report of the State Engineer and Surveyor of the State of New York for the fiscal years ending September 30, 1896. Albany, NY, Wynkoop Hallenbeck Crawford, 841–858.

    Google Scholar 

  • HOTELLING, H. (1933). Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology, 24, 417–441, 498–520.

    Article  Google Scholar 

  • HOUGHTON, J.C. (1988). Use of the truncated shifted Pareto Distribution in assessing size distributions of oil and gas fields. Mathematical Geology, 20, 907–937.

    Article  Google Scholar 

  • HOWARTH, R.J. (1971a). An empirical discriminant method applied to sedimentary rock classification. Journal of the International Association for Mathematical Geology, 3, 51–60.

    Article  Google Scholar 

  • HOWARTH, R.J. (1973a). The pattern recognition problem in applied geochemistry. In: JONES, M.J. (ed.). Geochemical Exploration 1972. Institution of Mining and Metallurgy, London, p. 259–273.

    Google Scholar 

  • HOWARTH, R.J. (1973b). Preliminary assessment of a nonlinear mapping algorithm in a geological context. Journal of the International Association for Mathematical Geology, 5, 39–57.

    Article  Google Scholar 

  • HOWARTH, R.J. (1983). Mapping. In: HOWARTH, R.J. (ed.). Statistics and data analysis in geochemical prospecting. Amsterdam, Elsevier, 111–205.

    Chapter  Google Scholar 

  • HOWARTH, R.J. (1999). Measurement, portrayal and analysis of orientation data in structural geology (1670–1967). Proceedings of the Geologists’ Association, 110, 273–309.

    Google Scholar 

  • HOWARTH, R.J. and EARLE, S.A.M. (1979). Application of a generalised power transformation to geochemical data. Journal of the International Association for Mathematical Geology, 11, 45–62.

    Article  Google Scholar 

  • HOWARTH, R.J. and LEAKE, B.E. (2002). The life of Frank Coles Phillips (1902–1982) and the structural geology of the Moine petrofabric controversy. Geological Society Memoir 23, London, The Geological Society of London.

    Google Scholar 

  • HUANG, B.-S. (1992). A program for two-dimensional seismic wave propagation by the pseudospectrum method. Computers & Geosciences, 18, 289–307.

    Article  Google Scholar 

  • HUANG, J.D., JACKSON, D.W.T. and COOPER, J.A.G. (2010). Piecewise polynomial expression of beach profiles. Journal of Coastal Research, 26, 851–859.

    Article  Google Scholar 

  • HUBBERT, M.K. (1956). Darcy’s Law and the field equations of the flow of underground fluids. Transactions of the American Institute of Mining Engineers, 207, 222–239.

    Google Scholar 

  • HUDSON, C.B. and AGTERBERG, F. (1982). Paired comparison models in biostratigraphy. Journal of the International Association for Mathematical Geology, 14, 141–159.

    Article  Google Scholar 

  • HUNT, A., EWING, R. and GHANBARIAN, B. (2014). Percolation theory for flow in porous media. 3rd edn., Cham, Springer International.

    Book  Google Scholar 

  • HUTCHINSON, J.B. (1929). The application of the ‘method of maximum likelihood’ to the estimation of linkage. Genetics, 14, 519–537.

    Google Scholar 

  • HUXLEY, J.S. and TESSIER, G. (1936). Terminology of relative growth. Nature, 137, 780–781.

    Article  Google Scholar 

  • IGEL, H., DEBSKI, W., DJIKPÉSŚ, H. and TARANTOLA, A. (1993). Gradient inversion of marine seismic reflection data: Parameterization and geometrical spreading. In:. SEG Technical Program 63rd Annual Meeting of the Society of Exploration Geophysicists. Extended abstracts with authors’ biographies. Tulsa, OK, Society of Exploration Geophysicists, 657–660.

    Google Scholar 

  • IMBRIE, J. (1956). Biometrical methods in the study of invertebrate fossils. Bulletin of the American Museum of Natural History, 108, 215–252.

    Google Scholar 

  • INGERSON, E. (1938). Albite trends in some rocks of the Piedmont. American Journal of Science, 35, 127–141.

    Google Scholar 

  • INMAN, D.L. (1952). Measures for describing the size distribution of sediments. Journal of Sedimentary Petrology, 22, 125–145.

    Google Scholar 

  • INTERNATIONAL BUSINESS MACHINES (1966). IBM System/360 operating system: PL/I language specifications. International Business Machines Corporation. Technical Newsletter N28-0556-8, New York, NY, IBM Systems Reference Library.

    Google Scholar 

  • INTERNATIONAL BUSINESS MACHINES (2014). IBM Corporate Archives: Chronological history of IBM. Timeline [online: http://www-03.ibm.com/ibm/ history/ history/history_intro.html].

  • JACOBS, G.A., BORN, G.H., PARKE, M.E. and ALLEN, P.C. (1992). The global structure of the annual and semiannual sea surface height variability from Geosat altimeter data. Journal of Geophysical Research, 97, 17813–17828.

    Article  Google Scholar 

  • JAKOSKY, J.J. (1938). Continuous electric profiling. Geophysics, 3, 130–153.

    Article  Google Scholar 

  • JEFFREYS, H. (1924). The Earth. Its origin, history and physical constitution. Cambridge, Cambridge University Press.

    Google Scholar 

  • JOHNSON, R.A. and WICHERN, D.W. (1982). Applied multivariate statistical analysis. Englewood Cliffs, NJ, Prentice-Hall.

    Google Scholar 

  • JONES, H.J. and MORRISON, J.A. (1954). Cross-correlation filtering. Geophysics, 19, 660–683.

    Article  Google Scholar 

  • JONES, T.A. (1970). Comparison of the descriptions of sediment grain-size distributions. Journal of Sedimentary Petrology, 40, 1204–1215.

    Google Scholar 

  • JONES, W. (1706). Synopsis palmariorum mathesos: or, a new introduction to the mathematics: containing the principles of arithmetic and geometry demonstrated, in a short and easie method. London, J. Matthews for Jeff[ery] Wale.

    Google Scholar 

  • JOSEPH, L. and BHAUMIK, B.K. (1997). Improved estimation of the Box-Cox transform parameter and its application to hydrogeochemical data. Mathematical Geology, 29, 963–976.

    Article  Google Scholar 

  • JOURNEL, A.G. (1977). Kriging in terms of projections. Journal of the International Association for Mathematical Geology, 9, 563–586.

    Article  Google Scholar 

  • JUPP, D.L. and STEWART, I.C.F. (1974). A piecewise exponential model for seismic well-logging data. Journal of the International Association for Mathematical Geology, 6, 33–46.

    Article  Google Scholar 

  • KAESLER, R.L., PRESTON, F.W. and GOOD, D.I. (1963). FORTRAN II program for coefficient of association (Match-Coeff) using an IBM 1620 computer. Kansas Geological Survey Special Distribution Publication 4, Lawrence, KS, Kansas Geological Survey.

    Google Scholar 

  • KANG, I.B. and MCMECHAN, G.A. (1990). Two-dimensional elastic pseudo-spectral modeling of wide-aperture seismic array data with application to the Wichita Uplift-Anadarko Basin region of southwestern Oklahoma. Bulletin of the Seismological Society of America, 80, 1677–1695.

    Google Scholar 

  • KAPLAN, E.L. and MEIER, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53, 457–481.

    Article  Google Scholar 

  • KARUP, J. (1899). Über eine neue mechanische ausgleichungsmethode [On a new mechanical method of graduation]. In: KING, G. (ed.). Transactions of the Second International Actuarial Congress. London, Charles and Edwin Layton, 31–77 [English transl. 78–109].

    Google Scholar 

  • KATZ, S.S. (1991). Emulating the Prospector expert system with a raster GIS. Computers & Geosciences, 17, 1033–1050.

    Article  Google Scholar 

  • KAYSER, F.X and PATTERSON, J.W. (1998). Sir William Chandler Roberts-Austen – His role in the development of binary diagrams and modern physical metallurgy. Journal of Phase Equilibria and Diffusion, 19, 11–18.

    Article  Google Scholar 

  • KERSHAW, S. and RIDING, R. (1978). Parameterization of stromatoporoid shape. Lethaia, 11, 233–242.

    Article  Google Scholar 

  • KESKIN, M. (2002). FC-Modeler: a Microsoft Excel spreadsheet program for modeling Rayleigh fractionation vectors in closed magmatic systems. Computers & Geosciences, 28, 919–928.

    Article  Google Scholar 

  • KESKIN, M. (2013). AFC-Modeler: a Microsoft Excel workbook program for modelling assimilation combined with fractional crystallization (AFC) process in magmatic systems by using equations of DePaolo (1981). Turkish Journal of Earth Sciences, 22, 304–319.

    Google Scholar 

  • KESTEN, H. (1982). Percolation theory for mathematicians. Boston, MS, Birkhäuser.

    Book  Google Scholar 

  • KIRKNER, D.J. and REEVES, H.W. (1990). A penalty function method for computing chemical equilibria. Computers & Geosciences, 16, 21–40.

    Article  Google Scholar 

  • KISTERMANN, F.W. (1991). The invention and development of the Hollerith punched card. IEEE Annals of the History of Computing, 13, 245–259.

    Article  Google Scholar 

  • KITAGAWA, T., HURUYA, S. and YAZIMA, T. (1942). The probabilistic analysis of the time series of rare events. Memoirs of the Faculty of Science Kyushu University, Series A. Mathematics, 2, 151–204.

    Google Scholar 

  • KLOTZ, O. (1918). Analysis of earthquake waves. Bulletin of the Seismological Society of America, 8, 83–87.

    Google Scholar 

  • KNAPP, R.W. and STEEPLES, D.W. (1986). High-resolution common-depth-point seismic reflection profiling: Instrumentation. Geophysics, 51, 276–282.

    Article  Google Scholar 

  • KNOTT, C.G. (1884 [1886]). Earthquake frequency. Transactions of the Seismological Society of Japan, 9 (1), 1–22.

    Google Scholar 

  • KNOTT, C.G. (1899). Reflection and refraction of elastic waves with seismological applications. The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, ser. 5, 64–97.

    Article  Google Scholar 

  • KNOTT, C.G. (1908). The physics of earthquake phenomena. Oxford, Clarendon Press.

    Google Scholar 

  • KNOTT, C.G. (1910). Seismic radiations. II. Proceedings of the Royal Society of Edinburgh, 30, 23–37.

    Google Scholar 

  • KOCH, G.S. and LINK, R.F. (1970–71). Statistical analysis of geological data. v. 2. New York, NY, John Wiley & Sons.

    Google Scholar 

  • KOCH, G.S. and LINK, R.F. (1971). The coefficient of variation – a guide to the sampling of ore deposits. Economic Geology, 66, 293–301.

    Article  Google Scholar 

  • KOCH, G.S., LINK, R.F. and SCHUENEMEYER, J.H. (1972). Computer programs for geology. New York, Artronic Information Systems.

    Google Scholar 

  • KOLDIJK, W.S. (1968). On environment-sensitive grain-size parameters. Sedimentology, 10, 57–69.

    Article  Google Scholar 

  • KOLLO, T. (2008). Multivariate skewness and kurtosis measures with an application in ICA [Independent Component Analysis]. Journal of Multivariate Analysis, 99, 2328–2338.

    Article  Google Scholar 

  • KOTOV, S. and BERENDSEN, P. (2002). Statistical characteristics of xenoliths in the Antioch kimberlite pipe, Marshall County, Northeastern Kansas. Natural Resources Research, 11, 289–297.

    Article  Google Scholar 

  • KOURAKOS, G. and MANTOGLOU, A. (2012). Inverse groundwater modeling with emphasis on model parameterization. Water Resources Research, 48 (5), W05540.

    Article  Google Scholar 

  • KOVACH, W.L. (1989). Comparisons of multivariate analytical techniques for use in pre-Quaternary plant paleoecology. Review of Palaeobotany and Palynology, 60, 255–282.

    Article  Google Scholar 

  • KOWALSKI, R.A. (1988). The early years of logic programming. Communications of the ACM, 31, 38–43.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1934a). Size frequency distributions of sediments. Journal of Sedimentary Petrology, 4, 65–77.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1934b). The probable error of sampling sediments for mechanical analysis. American Journal of Science, ser. 5, 27, 204–214.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1936a). Application of logarithmic moments to size frequency distributions of sediments. Journal of Sedimentary Petrology, 6, 35–47.

    Google Scholar 

  • KRUMBEIN, W.C. (1938). Size frequency distributions of sediments and the normal phi curve. Journal of Sedimentary Petrology, 8, 84–90.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1939). Preferred orientation of pebbles in sedimentary deposits. Journal of Geology, 47, 673–706.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1955b). Experimental design in the earth sciences. Transactions of the American Geophysical Union, 36, 1–11.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1959b). Trend surface analysis of contour-type maps with irregular control-point spacing. Journal of Geophysical Research, 64,823–834.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1960b). The ‘geological population’ as a framework for analysing numerical data in geology. Liverpool and Manchester Geological Journal, 2, 341–368.

    Article  Google Scholar 

  • KRUMBEIN, W.C. (1963a). A geological process-response model for analysis of beach phenomena. The Bulletin of the Beach Erosion Board, 17, 1–15.

    Google Scholar 

  • KRUMBEIN, W.C. and ABERDEEN, E. (1937). The sediments of Barataria Bay. Journal of Sedimentary Petrology, 7, 3–17.

    Article  Google Scholar 

  • KRUMBEIN, W.C. and GRAYBILL, F.A. (1965). An introduction to statistical models in geology. New York, NY, McGraw-Hill.

    Google Scholar 

  • KRUMBEIN, W.C. and MONK, G.D. (1943). Permeability as a function of the size parameters of unconsolidated sand. Transactions of the American Institute of Mining and Metallurgical Engineers, 151, 153–163.

    Google Scholar 

  • KRUMBEIN, W.C. and PETTIJOHN, F.J. (1938). Manual of sedimentary petrography.. New York, NY, NY, Appleton-Century.

    Google Scholar 

  • KRUMBEIN, W.C. and SLOSS, L.L. (1958). High-speed digital computers in stratigraphic and facies analysis. Bulletin of the American Association of Petroleum Geologists, 42, 2650–2669.

    Google Scholar 

  • KRUSKAL, J.B. (1964). Multidimensional scaling by optimising goodness-of-fit to a non-metric hypothesis. Psychometrika, 29, 1–27.

    Article  Google Scholar 

  • KUNG, H.T. and TONG, D.M. (1977). Fast algorithms for partial fraction decomposition. SIAM Journal on Computing, 6, 582–593.

    Article  Google Scholar 

  • LACROIX, A. (1899). Le gabbro du Pallet et ses modifications [The Pallet gabbro and its alteration]. Bulletin des Service de la carte géologique de la France et des Topographies Souterraines, 10, 342–396.

    Google Scholar 

  • LAGRANGE, J.-L. (1797). Théorie de fonctions analytiques contenant les principes du calcul différentiel [Theory of analytic functions, containing the principles of differential calculus]. Paris, L’Imprimerie de la République.

    Google Scholar 

  • LAPLACE, P.-S. (1784). Théorie de mouvement et de la figure elliptique des planètes [Theory of the movement and elliptic orbit of planets]. Paris, de Sauron.

    Google Scholar 

  • LAPLACE, P.-S. (1787 [1789]). Mémoire sur la théorie de l’Anneau de Saturne [Memoir on the theory of the ring of Saturn]. Mémoire de l’Académie Royale des Sciences de Paris, for 1787, 249–267.

    Google Scholar 

  • LAPLACE, P.-S. (1814). Théorie analytique des probabilités [Analytical probability theory.]. 2nd edn., Paris, V. Courcier.

    Google Scholar 

  • LATTIN, W.J. (1945). Note on the Fourier series for several pulse forms. Proceedings of the Institute of Radio Engineers, 33, 783–784.

    Google Scholar 

  • LAW, J. (1944). A statistical approach to the interstitial heterogeneity of sand reservoirs. Transactions of the American Institute of Mining and Metallurgical Engineers, 155, 202–222.

    Google Scholar 

  • LEGENDRE, A.-M. (1792). Mémoire sur les transcendantes elliptiques [Memoir on elliptic transcendentals]. Paris, Du Pont.

    Google Scholar 

  • LEGENDRE, A.-M. (1809a). A memoir on elliptic transcendentals. In: LEYBOURN, T. (ed.). Mathematical Repository, n.s. v. 2, part 3, art. 1. London, W. Glendinning, 1–34.

    Google Scholar 

  • LEGENDRE, A.-M. (1809b). A memoir on elliptic transcendentals. In: LEYBOURN, T. (ed.). Mathematical Repository, new ser., v. 3, part 3, art. 1. London, W. Glendinning, 1–45.

    Google Scholar 

  • LEIBNIZ, G.W. (1692). De linea ex lineis numero infinitis ordinatim ductis inter se concurrentibus formata easque omnes tangente, ac de novo in ea re analyseos infinitorum usu [Construction from an infinite number of ordered and concurrent curves, from the tangent to each curve; a new application to undertake this analysis of infinities]. Acta Eruditorum, 11, 168–171 [French translation in PARMENTIER (1995), 210–222].

    Google Scholar 

  • LINK, R.F. and KOCH, G.S. (1975). Some consequences of applying lognormal theory to pseudolognormal distributions. Journal of the International Association for Mathematical Geology, 7, 117–128.

    Article  Google Scholar 

  • LINK, R.F., KOCH, G.S. Jr. and GLADFELTER, G.W. (1964). Computer methods of fitting surfaces to assay and other data by regression analysis. Report of Investigations 6508, Washington, United States Department of the Interior, Bureau of Mines.

    Google Scholar 

  • LISTER, G.S. and HOBBS, B.E. (1980). The simulation of fabric development during plastic deformation and its application to quartzite: the influence of deformation history. Journal of Structural Geology, 2, 355–370.

    Article  Google Scholar 

  • LIU, C., CHARPENTIER, R.R. and SU, J. (2011). Comparison of two methods used to model shape parameters of Pareto distributions. Mathematical Geosciences, 43, 847–859.

    Article  Google Scholar 

  • LIU, H., DAVIS, P.M. and GAO, S. (1995). SKS splitting beneath southern California. Geophysical Research Letters, 22, 767–770.

    Article  Google Scholar 

  • LORENZ, E.N. (1963). Deterministic non-periodic flow. Journal of Atmospheric Science, 20, 130–141.

    Article  Google Scholar 

  • LOUDON, T.V. (1964). Computer analysis of orientation data in structural geology. Technical Report No. 13 of ONR [Office of Naval Research] Task No. 389-135 Contract Nonr 1228(26), Evanston, IL, Geography Branch, Northwestern University [online: http://nora.nerc.ac.uk/19528/1/ONRrep13.pdf].

  • LOVE, A.E.H. (1906). A treatise on the mathematical theory of elasticity. 2nd edn., Cambridge, Cambridge University Press.

    Google Scholar 

  • LUO, J., SKALA, W., WAGNER, M. and GERMANN, K. (1994). Prototype development of GEOEXPLORER, a knowledge-based system for supergene deposits: identification of favorable areas for bauxite. Mathematical Geology, 26, 973–983.

    Article  Google Scholar 

  • LYON, R.F. (2006). A brief history of ‘pixel’. In: SAMPAT, N., DICARLO, J.M. and MARTIN, R.A., (eds.). Digital Photography II, IS&T/SPIE Symposium on Electronic Imaging, 15–19 January 2006, San Jose, California, USA, Bellingham, WA, International Society for Optics and Photonics, 1–15 [http://www.foveon.com/files/ABriefHistoryofPixel2.pdf].

  • MAINDONALD, J. and BRAUN, J. (2003). Data analysis and graphics using R. An example-based approach. Cambridge, Cambridge University Press.

    Google Scholar 

  • MANCEY, S.J. (1982). Cluster analysis in geology. In: HORDER, M.F. and HOWARTH, R.J. (eds.). Computer applications in geology I and II. Miscellaneous Paper no. 14. London, The Geological Society, 89–102.

    Google Scholar 

  • MANSON, V. and IMBRIE, J. (1964). FORTRAN program for factor and vector analysis of geologic data using an IBM 7090 or 7094/1401 computer system. Kansas Geological Survey Special Distribution Publication 13, Lawrence, KS, Kansas Geological Survey.

    Google Scholar 

  • MARDIA, K.V. (1970). Measures of multivariate skewness and kurtosis with applications. Biometrika, 57, 519–530.

    Article  Google Scholar 

  • MARINI, F. and WALCZAK, B. (2015). Particle swarm optimization (PSO). A tutorial. Chemometrics and Intelligent Laboratory Systems ser. B, 149, 153–165.

    Google Scholar 

  • MASSÉ, L. (1955). Probability distribution of reflections on seismic records. Geophysics, 20, 243–253.

    Article  Google Scholar 

  • MATHER, K. (1951). The measurement of linkage in heredity. 2nd edn., London, Methuen.

    Google Scholar 

  • MATHERON, G. (1967). Kriging or polynomial interpolation procedures? A contribution to polemics in mathematical geology. Canadian Institute of Mining and Metallurgy Transactions, 70, 240–244.

    Google Scholar 

  • MATSUMOTO, M. and NISHIMURA, T. (1998). Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Transactions on Modelling and Computer Simulation, 8, 3–30.

    Article  Google Scholar 

  • MAUPERTUIS, P.-L.M. de (1738). La figure de la Terre, déterminée par les observations de Messieurs De Maupertuis, Clairaut, Camus, Le Monnier,. M. l’Abbé Outhier, [et] M. Celsius. au Cercle Polaire [The Figure of the Earth as determined at the Polar Circle]. Paris, L’Imprimerie Royale.

    Google Scholar 

  • MAXWELL, J.C. (1873). A treatise on electricity and magnetism. 2 vols. Oxford, Clarendon Press.

    Google Scholar 

  • MAY, R.M. (1976). Simple mathematical models with very complicated dynamics. Nature, 261, 459–467.

    Article  Google Scholar 

  • MAYER, A.L. (1957). Ignition repression control system. United States Patent Office, Patent number 2,809,344 [applied for 1953].

    Google Scholar 

  • McCAMMON, R.B. (1975b). On the efficiency of systematic point-sampling in mapping facies. Journal of Sedimentary Petrology, 45, 217–229.

    Google Scholar 

  • McCAMMON, R.B. (1990). Prospector II – Towards a map-based expert system for regional mineral resource assessment. In: AGTERBERG, F.P. and BONHAM-CARTER, G.F. (eds.). Statistical applications in the earth sciences. Paper 89-9. Ottawa, Geological Survey of Canada, 395–404.

    Google Scholar 

  • McCAMMON, R.B. (1994). Prospector II: Towards a knowledge base for mineral deposits. Mathematical Geology, 26, 917–936.

    Article  Google Scholar 

  • McCRACKEN, D.D. (1963). A guide to Fortran programming. New York, NY, John Wiley & Sons.

    Google Scholar 

  • MEIJERING, E. (2002). A chronology of interpolation. From ancient astronomy to modern signal and image processing. Proceedings of the IEEE, 90, 319–342.

    Google Scholar 

  • MELTON, M.A. (1958b). Use of punched cards to speed statistical analyses of geomorphic data. Geological Society of America Bulletin, 69, 355–358.

    Article  Google Scholar 

  • MENDEL, J.M. (1977). A quantitative evaluation of Ott and Meder’s prediction error filter. Geophysical Prospecting, 25, 692–698.

    Article  Google Scholar 

  • MERRIMAN, M. (1903). A text-book on the method of least squares. 8th ed. New York, NY, John Wiley & Sons.

    Google Scholar 

  • MEUNIER, S. (1904). La géologie expérimentale [Experimental geology]. Paris, F. Alcan.

    Google Scholar 

  • MIESCH, A.T. (1967b). Methods for computation for estimating geochemical abundance. United States Geological Survey Professional Paper 574-B, Washington, DC, United States Government Printing Office.

    Google Scholar 

  • MILLER, J. (ed.) (2015a). Earliest known uses of some of the words of mathematics [online: http://jeff560.tripod.com/mathword.html].

  • MILLER, R.L. (1949). An application of the analysis of variance to paleontology. Journal of Paleontology, 23, 635–640.

    Google Scholar 

  • MILLER, R.L. and KAHN, J.S. (1962). Statistical analysis in the geological sciences. New York, John Wiley & Sons.

    Google Scholar 

  • MILNE, J. (1882). Suggestions for the systematic observations of earthquakes. Transactions of the Seismological Society of Japan, 4, 87–117.

    Google Scholar 

  • MILNE, J. (1898). Seismology. London, Kegan Paul Trench Trübner.

    Google Scholar 

  • MISSALLATI, A., PRELAT, A.E. and LYON, R.J.P. (1979). Simultaneous use of geological, geophysical, and LANDSAT digital data in uranium exploration. Remote Sensing of Environment, 8, 189–210.

    Article  Google Scholar 

  • MOELLER, J.R., MINSHALL, G.W., CUMMINS, K.W., PETERSEN, R.C., CUSHING, C.E., SEDELL, J.R., LARSON, R.A. and VANNOTE, R.L. (1979). Transport of dissolved organic carbon in streams of differing physiographic characteristics. Organic Geochemistry, 1, 139–150.

    Article  Google Scholar 

  • MONTALBETTI, J.F. and KANASEWICH, E.R. (1970). Enhancement of teleseismic body phases with a polarization filter. Geophysical Journal of the Royal Astronomical Society, 21, 119–129.

    Article  Google Scholar 

  • MOORE, D.P. (1960). FORTRAN Assembly Program (FAP) for the IBM 709/7090. 709/7090 Data processing System Bulletin J28-6098, New York, NY, Programming Systems Publications, IBM Corporation.

    Google Scholar 

  • MOORE, E.H. (1935). Lectures on general analysis. Memoirs of the American Philosophical Society, 1, 197–209.

    Google Scholar 

  • MOSIMANN, J.E. (1965). Statistical methods for the pollen analyst: Multinomial and negative multinomial techniques. In: KUMMEL, B. and RAUP, D. (eds.). Handbook of palaeontological techniques. San Francisco, W.H. Freeman, 636–673.

    Google Scholar 

  • NETTLETON, L.L. (1940). Geophysical prospecting for oil. New York, McGraw-Hill Book Company.

    Google Scholar 

  • NEWELL, F.H. (1885). Geology of the Bradford oil rocks – Some experiments pertaining to their structure and capacity to furnish petroleum. Doctoral dissertation, Cambridge, MS, Department of Practical Geology, Mining and Metallurgy, Massachusetts Institute of Technology.

    Google Scholar 

  • NEWTON, I. (1687). Philosophiae naturalis principia mathematica [Mathematical principles of natural philosophy]. London, The Royal Society.

    Book  Google Scholar 

  • NEWTON, I. (1704). Optiks: or, A treatise of the reflexions, refractions, inflexions and colours of light. Also two treatises of the species and magnitude of curvilinear figures. London, Smith and Walford for The Royal Society.

    Google Scholar 

  • NEWTON, I. (1736). The method of fluxions and infinite series; with its application to the geometry of curve-lines. London, Henry Woodfall.

    Google Scholar 

  • NEYMAN, J. and PEARSON, E.S. (1936). Contributions to the theory of testing statistical hypotheses. Statistical Research Memoirs 1, London, Department of Applied Statistics, University College, University of London [reprinted in Neyman and Pearson (1967), 203–239].

    Google Scholar 

  • NEYMAN, J. and PEARSON, E.S. (1938). Contributions to the theory of testing statistical hypotheses. Statistical Research Memoirs 2, London, Department of Applied Statistics, University College, University of London [reprinted in Neyman and Pearson (1967), 265–297].

    Google Scholar 

  • NEYMAN, J. and SCOTT, E.L. (1958). A statistical approach to problems of cosmology. Journal of the Royal Statistical Society, ser. B, 20, l–43.

    Google Scholar 

  • NEYMAN, J. and SCOTT, E.L. (1972). Processes of clustering and applications. In: LEWIS, P.A.W. (ed.). Stochastic point processes: Statistical analysis, theory and applications. New York, Wiley-Interscience, 646–681.

    Google Scholar 

  • NIEDERKORN, R. and BLUMENFELD, P. (1989). FUSION: A computer simulation of melting in the quartz-albite-anorthite-orthoclase system. Computers & Geosciences, 15, 347–369.

    Article  Google Scholar 

  • NIELSEN, R.L. (1985). EQUIL: a program for the modeling of low-pressure differentiation processes in natural mafic magma bodies. Computers & Geosciences, 11, 531–546.

    Article  Google Scholar 

  • NIELSEN, R.L. (1988). TRACE FOR: A program for the calculation of combined major and trace-element liquid lines of descent for natural magmatic systems. Computers & Geosciences, 14, 15–35.

    Article  Google Scholar 

  • O’BRIEN, M. (1842). An elementary treatise on the differential calculus, in which the method of limits is exclusively made use of. Cambridge, J. & J.J. Deighton.

    Google Scholar 

  • ODELL, J. (1977). Logger, a package which assists in the construction and rapid display of stratigraphic columns from field data. Computers & Geosciences, 3, 347–379.

    Article  Google Scholar 

  • OGATA, Y. (1988). Statistical models for earthquake occurrences and residual analysis for point processes. Journal of the American Statistical Association, 83, 9–27.

    Article  Google Scholar 

  • OLDHAM, R.D. (1901). The periodicity of earthquakes. Geological Magazine, new ser., dec. IV, 8, 449–452.

    Google Scholar 

  • ORSZAG, S.A. (1972). Comparison of pseudospectral and spectral approximation. Studies in Applied Mathematics, 51, 253–259.

    Article  Google Scholar 

  • OTT, N. and MEDER, H.G. (1972). The Kalman filter as a prediction error filter. Geophysical Prospecting, 20, 549–560.

    Article  Google Scholar 

  • PAGE, D. (1859). Handbook of geological terms and geology. Edinburgh, W. Blackwood & Sons.

    Google Scholar 

  • PALEY, R.E.A.C. and WIENER, N. (1934). Fourier transforms in the complex domain. American Mathematical Society Colloquium Publications 19. Providence, RI, American Mathematical Society.

    Google Scholar 

  • PAN, G. and HARRIS, D.P. (1991). A new multidimensional scaling technique based upon associations of triple objects: P ijk and its application to the analysis of geochemical data. Mathematical Geology, 23, 861–888.

    Article  Google Scholar 

  • PANOZZO, R. (1983). Two-dimensional analysis of shape fabric using projections of digitised lines in a plane. Tectonophysics, 95, 279–294.

    Article  Google Scholar 

  • PANOZZO, R. (1984). Two-dimensional strain from the orientation of lines on a plane. Journal of Structural Geology, 6, 215–221.

    Article  Google Scholar 

  • PAPOULIS, A. (1962). The Fourier integral and its applications. New York, NY, Mc-Graw Hill.

    Google Scholar 

  • PARETO, V. (1896–7). Cours d’économie politique professé à l’université de Lausanne [Course on political economy given at the University of Lausanne]. 3 vols. Lausanne, François Rouge.

    Google Scholar 

  • PARKER, M.A. (1952). Punched-card techniques speed map-making [abstract]. Bulletin of the Geological Society of America, 63, 1288.

    Google Scholar 

  • PARKER, M.A. (1957). Application of punched-card analysis to limestone exploration [abstract]. Bulletin of the Geological Society of America, 68, 1777.

    Google Scholar 

  • PARKS, J.M. (1966). Cluster analysis applied to multivariate geological problems. The Journal of Geology, 74, 703–715.

    Article  Google Scholar 

  • PARSEVAL, M.-A. (1806a). Intégration générale et complète des équations de la propagation du son, l’air étant considéré avec les trois dimensions [General integration and complete equations of the propagation of sound, air being considered with three dimensions]. Mémoires présentés par divers savants à l’Académie royale des sciences de l’Institut national de Frances: sciences, mathématiques et physiques. Paris. ser. I, 1, 379–398.

    Google Scholar 

  • PARSEVAL, M.-A. (1806b). Mémoire sur les séries et sur l'intégration complète d'une équation aux differences partielle linéaires du second ordre, à coefficiens constans [On the series and integration of a second order linear partial differential equation with constant coefficients]. Mémoires présentés par divers savants à l’Académie royale des sciences de l’Institut national de Frances: sciences, mathématiques et physiques. Paris. ser. I, 1, 638–648.

    Google Scholar 

  • PARZEN, E. (1957). On consistent estimates of the spectrum of a stationary time series. The Annals of Mathematical Statistics, 28, 329–348.

    Article  Google Scholar 

  • PARZEN, E. (1961). Mathematical considerations in the estimation of spectra. Technometrics, 3, 167–190.

    Article  Google Scholar 

  • PARZEN, E. (1962). On the estimation of a probability density function and the mode. The Annals of Mathematical Statistics, 33, 1065–1076.

    Article  Google Scholar 

  • PAWLOWSKY-GLAHN, V. (2003). Statistical modelling on coordinates. In: THIÓ-HENESTROSA, S. and MARTIN-FERNÁNDEZ, J.A. (eds.). Proceedings of CoDaWork’03. The 1st Compositional Data Analysis Workshop. Girona, University of Girona [online: http://ima.udg.es/Activitats/CoDaWork03/paper_VeraPG.pdf].

  • PEACOCK, M.A. (1936). Cyclic permutation of crystallographic axes. The American Mineralogist, 21, 136–137.

    Google Scholar 

  • PEARCE, T.H. (1968). A contribution to the theory of variation diagrams. Contributions to Mineralogy and Petrology, 19, 142–157.

    Article  Google Scholar 

  • PEARCE, T.H. (1970). Chemical variation in the Palisades Sill. Journal of Petrology, 11, 15–32.

    Article  Google Scholar 

  • PEARSON, K. (1895). Contributions to the mathematical theory of evolution. II. Skew variation in homogeneous material. Philosophical Transactions of the Royal Society, London, ser. A, 186, 343–414.

    Google Scholar 

  • PEARSON, K. (1896a). Mathematical contributions to the theory of evolution. III. Regression, heredity and panmixia. Philosophical Transactions of the Royal Society, London, ser. A, 187, 253–318.

    Google Scholar 

  • PEARSON, K. (1903a). On the probable errors of frequency constants. Biometrika, 2, 273–281.

    Article  Google Scholar 

  • PEARSON, K. (1905a). ‘Das Fehlergesetz und seine Verallgemeinerungen durch Fechner und Pearson.’ [The law of error and its generalizations by Fechner and Pearson]. A rejoinder. Biometrika, 4, 169–212.

    Google Scholar 

  • PEKERIS, C.L. (1955). The seismic surface pulse. Proceedings of the National Academy of Sciences of the United States of America, 41, 469–480.

    Google Scholar 

  • PELL, A.J. (1919). Linear equations with unsymmetric systems of coefficients. Transactions of the American Mathematical Society, 20, 23–39.

    Article  Google Scholar 

  • PENROSE, R. (1955). A generalized inverse for matrices. Proceedings of the Cambridge Philosophical Society, 51, 406–413.

    Google Scholar 

  • PERKINS, E.H., BROWN, T.H. and BERMAN, R.G. (1986a). PT-SYSTEM, TX-SYSTEM, PX-SYSTEM: Three programs which calculate pressure-temperature-composition phase diagrams. Computers & Geosciences, 12, 749–755.

    Article  Google Scholar 

  • PERREY, A. (1844). Mémoire sur les tremblements de terre ressentis en France, en Belgique et en Hollande, depuis la quartième siècle chrétienne jusqu'a nos jours (1845 inclusiv.) [Memoir on earth tremors felt in France, Belgium and Holland, AD 400–1845]. Mémoires couronnes et Mémoires des Savants Étrangers. Académie royale des Sciences et des Belles-Lettres de Bruxelles. ser. 1, 18, 1–110.

    Google Scholar 

  • PERSONS, W.M. (1909). The variability in the distribution of wealth and income. The Quarterly Journal of Economics, 23, 416–449.

    Article  Google Scholar 

  • PERUGINI, D. and POLI, G. (2007). Tourmaline nodules from Capo Bianco aplite (Elba Island, Italy): an example of diffusion limited aggregation growth in a magmatic system. Contributions to Mineralogy and Petrology, 153, 493–508.

    Article  Google Scholar 

  • PHILLIPS, F.C. (1937). A fabric study of some Moine Schists and associated rocks. Quarterly Journal of the Geological Society, London, 93, 581–620.

    Article  Google Scholar 

  • PHILLIPS, F.C. (1938). Mineral orientation in some olivine-rich rocks from Rum and Skye. Geological Magazine, 75, 130–135.

    Article  Google Scholar 

  • PHILLIPS, F.C. (1954). The use of the stereographic projection in structural geology. London, Edward Arnold.

    Google Scholar 

  • PILANT, W.L. (1989). A PC-interactive stereonet plotting program. Computers & Geosciences, 15, 43–58.

    Article  Google Scholar 

  • PIPER, A.M. (1944). A graphic procedure in the geochemical interpretation of water analyses. Transactions of the American Geophysical Union, 25, 914–923.

    Article  Google Scholar 

  • PLAYFAIR, W. and CORRY, J. (1786). The commercial and political atlas; representing, by means of stained copper-plate charts, the exports, imports, and general trade of England at a single view. To which are added, Charts of the revenue and debts of Ireland, done in the same manner. London, J. Debrett, G.G. and J. Robinson, J. Sewell.

    Google Scholar 

  • POINCARÉ, H. (1881). Mémoire sur les courbes définies par une équation différentielle [Memoir on curves defined by a differential equation]. I. Journal de Mathématiques Pures et Appliquées, ser. 3, 7, 375–442.

    Google Scholar 

  • POINCARÉ, H. (1882). Mémoire sur les courbes définies par une équation différentielle [Memoir on curves defined by a differential equation]. II. Journal de Mathématiques Pures et Appliquées, ser. 3, 8, 251–296.

    Google Scholar 

  • POINCARÉ, H. (1890). Sur le problème des trois corps et les équations de la dynamique [On the three body problem and dynamic equations]. Acta Mathematica, 13, 1–270.

    Google Scholar 

  • POISSON, S.-D. (1830). Mémoire sur la proportion des naissances des filles et des garçons [Note on the proportion of births of girls and boys]. Mémoire de l’Académie des Sciences, Paris, 9, 239–308.

    Google Scholar 

  • POLYANIN, A.D., ZAITSEV, V.F. and MOUSSIAUX, A. (2002). Handbook of first order partial differential equations. London, Taylor and Francis.

    Google Scholar 

  • PRESS, F. and EWING, M. (1950). Propagation of explosive sound in a liquid layer overlying a semi-infinite solid. Geophysics, 15, 426–446.

    Article  Google Scholar 

  • PRESS, H. and TUKEY, J.W. (1956). Power spectral methods of analysis and their application to problems in airplane dynamics. In: DURBIN, E.J. (ed.). AGARD Flight test manual, v. IV. Instrumentation. Part C. Paris, North Atlantic Treaty Organisation. Advisory Group for Aeronautical Research and Development, 1–41 [reprinted in: BRILLINGER, D.R. (ed.) The collected works of John W. Tukey. Vol. 1. Time series: 1949–1964. Wadsworth, Pacific Grove, CA., 185–243].

    Google Scholar 

  • PRESTON, F.W. and DAVIS, J.C. (1976). Sedimentary porous materials as a realisation of a stochastic process. In: MERRIAM, D.F. (ed.). Random processes in geology. Berlin, Springer-Verlag, 63–86.

    Chapter  Google Scholar 

  • PRESTON, F.W. and van SCOYOC, J.S. (1964). Use of asymmetric frequency distribution curves of core analysis data in calculating oil reserves. In: PARKS, G.A. (ed.). Computers in the mineral industries. Stanford University Publications. Geological Sciences 9 (Part 2). Stanford, CA, School of Earth Sciences, Stanford University, 694–720.

    Google Scholar 

  • PRICE, B. (1862). A treatise on infinitesimal calculus; containing differential and integral calculus, calculus of variations, applications to algebra and trigonometry, and analytical sections. IV. The dynamics of material systems. Oxford, The University Press.

    Google Scholar 

  • PRICE, B. (1865). A treatise on infinitesimal calculus and calculus of variations. 2nd ed., Oxford, The Clarendon Press.

    Google Scholar 

  • RADIN, G. (1978). The early history and characteristics of PL/I. ACM SIGPLAN Notices, 13, 227–241.

    Article  Google Scholar 

  • RAMBERG, H. (1966). The Scandanavian Caledonides as studied by centrifuged dynamic models. Bulletin of the Geological Institutions of the University of Uppsala, 43, 1–72.

    Google Scholar 

  • RAMSAY, J.G. (1964). The uses and limitations of beta-diagrams and pi-diagrams in the geometrical analysis of folds. Quarterly Journal of the Geological Society, London, 120, 435–454.

    Article  Google Scholar 

  • RAMSAY, J.G. (1967). Folding and fracturing of rocks. New York, McGraw-Hill.

    Google Scholar 

  • RAMSAY, J.G. (1976). Displacement and strain. Philosophical Transactions of the Royal Society, London, ser. A, 283, 3–25.

    Google Scholar 

  • RAMSAY, J.G. and HUBER, M.I. (1983). The techniques of modern structural geology. Vol. 1: Strain analysis. London, Academic Press.

    Google Scholar 

  • RAVEH, A. (1986). On measures of monotone association. American Statistician, 40, 117–123.

    Google Scholar 

  • RAYMOND, R.W. (1908a). Dip and pitch. Transactions of the American Institute of Mining Engineers, 39, 326–327.

    Google Scholar 

  • RAYMOND, R.W. (1908b). Dip and pitch. Discussion. Transactions of the American Institute of Mining Engineers, 39, 898–916.

    Google Scholar 

  • REIMANN, C., FILZMOSER, P., GARRETT, R.G. and DUTTER, R. (2008). Statistical data analysis explained. Applied environmental statistics with R. Chichester, John Wiley & Sons.

    Chapter  Google Scholar 

  • RENDU, J.-M.M. (1976). Bayesian decision theory applied to mineral exploration. In: GUARASCIO, M., DAVID, D. and HUIJBREGTS, C. (eds.). Advanced geostatistics in the mining industry. Proceedings of the NATO Advances Study Institute held at the Istituto di Geologia Applicata of the University of Rome, Italy, 13–25 October 1975. Dordrecht, Reidel, 435–445.

    Chapter  Google Scholar 

  • REYMENT, R.A. (1969a). A multivariate palaeontological growth problem. Biometrics, 22, 1–8.

    Article  Google Scholar 

  • REYMENT, R.A. (1969b). A statistical analysis of some volcanologic data regarded as a series of point events. Pure and Applied Geophysics, 74, 57–77.

    Article  Google Scholar 

  • REYMENT, R.A. (1971b). Multivariate normality in morphometric analysis. Journal of the International Association for Mathematical Geology, 3, 357–368.

    Article  Google Scholar 

  • REYMENT, R.A. (1976b). Some applications of point processes to geology. Journal of the International Association for Mathematical Geology, 8, 95–98.

    Article  Google Scholar 

  • REYMENT, R.A. (1980). Multivariate analysis in statistical paleoecology. In: ORLOCI, L., RAO, C.R. and STITELER, W.M. (eds.). Multivariate methods in ecological work. Statistical Ecology Series Volume 7. Fairland, MA, International Co-operative Publishing House, 211–235.

    Google Scholar 

  • REYMENT, R.A. (1991). Multidimensional paleobiology. Oxford, Pergamon Press.

    Google Scholar 

  • REYNOLDS, C.W. (1987). Flocks, herds and schools: A distributed behavioral model. In: STONE, M.C., (ed.). Proceedings of the 14th annual conference on computer graphics and interactive techniques: July 27–31, 1987, Anaheim, CA, New York, NY, Association for Computing Machinery, 25–34.

    Google Scholar 

  • RICHARDS, P.G. (1979). Elementary solutions to Lamb’s problem for a point source and their relevance to three-dimensional studies of spontaneous crack propagation. Bulletin of the Seismological Society of America, 69, 947–956.

    Google Scholar 

  • RICKER, N. (1944). Wavelet functions and their polynomials. Geophysics, 9, 314–323.

    Article  Google Scholar 

  • RIEDEL, W.R. (1989). IDENTIFY. A Prolog program to help identify fossils. Computers & Geosciences, 15, 809–823.

    Google Scholar 

  • RINDFLEISCH, T.C., DUNNE, J.A., FRIEDEN, H.J., STROMBERG, W.D. and RUIZ, R.M. (1971). Digital processing of the Mariner 6 and 7 pictures. Journal of Geophysical Research, 76, 394–417.

    Article  Google Scholar 

  • ROBERTS, W.C. (1875). On the liquation, fusibility, and density of certain alloys of silver and copper. Proceedings of the Royal Society, London, 23, 481–495.

    Google Scholar 

  • ROBERTS-AUSTEN, W.C. (1895). Third Report to the Alloys Research Committee. Proceedings of the Institution of Mechanical Engineers, London, 48, 238–253.

    Google Scholar 

  • ROBERTS-AUSTEN, W.C. (1897). Fourth Report to the Alloys Research Committee. Proceedings of the Institution of Mechanical Engineers, London, 52, 31–100.

    Google Scholar 

  • ROBERTS-AUSTEN, W.C. (1899). Fifth Report to the Alloys Research Committee. Proceedings of the Institution of Mechanical Engineers, London, 56, 35–102.

    Google Scholar 

  • ROBINSON, E.A. (1954). Predictive decomposition of time series with applications to seismic exploration Doctoral dissertation; M.I.T. Geophysical Group Report 7, Cambridge, MA, Massachusetts Institute of Technology.

    Google Scholar 

  • ROBINSON, E.A. (1967a) Predictive decomposition of time series with application to seismic exploration. Geophysics, 32, 418–484.

    Article  Google Scholar 

  • ROBINSON, E.A. (1967b). Statistical communication and detection with special reference to digital signal processing of radar and seismic signals. London, Griffin.

    Google Scholar 

  • ROBINSON, E.A. and TREITEL, S. (1964). Principals of digital filtering. Geophysics, 29, 395–404.

    Article  Google Scholar 

  • ROCK, N.M.S. (1991). Towards a comprehensive database of geoscience software: A Macintosh directory of published programs. Computers & Geosciences, 17, 849–854.

    Article  Google Scholar 

  • ROLLINSON, H.R. and ROBERTS, C.R. (1986). Ratio correlation and major element mobility in altered basalts and komatiites. Contributions to Mineralogy and Petrology, 93, 89–97.

    Article  Google Scholar 

  • ROMESBURG, H.C. (1985). Exploring, confirming and randomization tests. Computers & Geosciences, 11, 19–37.

    Article  Google Scholar 

  • ROSAIRE, E.E. and LESTER, O.C. (1927). Seismological discovery and partial detail of Vermilion Bay salt dome, Louisiana. Bulletin of the American Association of Petroleum Geologists, 16, 1221–1229.

    Google Scholar 

  • ROSEN, J.B. (1960). The Gradient Projection method for nonlinear programming. Part I. Linear constraints. Journal of the Society for Industrial and Applied Mathematics, 8, 181–217.

    Google Scholar 

  • ROSEN, J.B. (1961). The Gradient Projection method for nonlinear programming. Part II. Nonlinear constraints. Journal of the Society for Industrial and Applied Mathematics, 9, 514–532.

    Google Scholar 

  • ROSIWAL, A. (1898). Ueber geometrische Gesteinanalysen. Ein einfacher Weg zur ziffremassigen Foxtstellung des Quantitätsverhäitnissos der Mineralbestandtheile gemengter Geneine [On geometric rock analysis. A quantitative surface measure of the constituents of a stony aggregate]. Verhandlungen der Kaiserlich Königlichen geologischen Reichsanstalt, Wien, 5, 143–175.

    Google Scholar 

  • ROSTIROLLA, S.P., MATTANA, A.C. and BARTOSZECK, M.K. (2003). Bayesian assessment of favorability for oil and gas prospects over the Reconcavo basin, Brazil. Bulletin of the American Association of Petroleum Geologists, 87, 647–666.

    Article  Google Scholar 

  • RUBINOFF, M. (1953). Analogue vs. digital computers – a comparison. Proceedings of the Institute of Radio Engineers, 41, 1254–1262.

    Google Scholar 

  • RUEDEMANN, R. (1897). Evidence of current action in the Ordovician of New York. American Geologist, 19, 367–391.

    Google Scholar 

  • RUST, W.M. (1972). Comments on ‘The best plane through data.’ Journal of the International Association for Mathematical Geology, 4, 73–76.

    Google Scholar 

  • SACKIN, M.J., SNEATH, P.H.A. and MERRIAM, D.F. (1965). ALGOL program for cross-association of non-numeric sequences using a medium-size computer. Kansas Geological Survey Special Distribution Publication 23, Lawrence, KS, Kansas Geological Survey.

    Google Scholar 

  • SÁENZ, J., ZUBILLAGA, J. and FERNÁNDEZ, J. (2002). Geophysical data analysis using Python. Computers & Geosciences, 28, 457–465.

    Article  Google Scholar 

  • SAIKA-VOIVOD, I., SCIORTINO, F., GRANDE, T., and POOLE, P.H. (2004). Phase diagram of silica from computer simulation. Physical Review, ser. E, 70, 061507.

    Google Scholar 

  • SAINT-VINCENT, G. de (1647). Opus geometricum quadraturae circuli et sectionum coni [A work on geometric quadratrure of the circle and conic sections]. Antwerp, Jean & Jacob Meursios.

    Google Scholar 

  • SAITO, M. and MATSUMOTO, M. (2008). SIMD-oriented Fast Mersenne Twister: a 128-bit Pseudorandom Number Generator. In: KELLER, A., HEINRICH, S. and NIEDERREITER, H. (eds.). Monte Carlo and Quasi-Monte Carlo Methods 2006. Berlin, Springer-Verlag, 607–622.

    Chapter  Google Scholar 

  • SAMMON, J.W. (1969). A nonlinear mapping for data-structure analysis. IEEE Transactions on Computers, C18, 401–409.

    Article  Google Scholar 

  • SAMSON, J.C. and OLSEN, J.V. (1981). Data-adaptive polarization filters for multichannel geophysical data. Geophysics, 46, 1423–1431.

    Article  Google Scholar 

  • SANDER, B. (1930). Gefügekunde der Gesteine mit besonderer Berücksichtigung der Tektonite [Microstructure of rocks with special emphasis on tectonite]. Vienna, Springer.

    Google Scholar 

  • SANDER, B. (1948). Einführung in die Gefügekunde der geologischen Körper. I. Allgemeine Gefügekunde und Arbeiten in Bereich Handstuck bis Profil [Introduction to the structure of geological bodies. I. General study of fabrics, work on a scale from profile to hand-specimen]. Vienna, Springer-Verlag.

    Google Scholar 

  • SANDER, B. (1950). Einführung in die Gefügekunde der geologischen Körper. 2. Die Korngefüge [An introduction to the fabrics of geological bodies. 2. Grain-fabrics]. Vienna, Springer-Verlag.

    Book  Google Scholar 

  • SANDER, B. (1970). An introduction to the fabrics of geological bodies. Oxford [English translation by F.C. PHILLIPS and G. WINDSOR], Pergamon Press.

    Google Scholar 

  • SANFORD, V. (1930). A short history of mathematics. Boston, Houghton Mifflin.

    Google Scholar 

  • SANTISTEBAN, A. and MUNOZ, L. (1978). Principal components of a multispectral image: application to a geological problem. IBM Journal of Research and Development, 22, 444–454.

    Article  Google Scholar 

  • SARMA, P., DURLOFSKY, L.J. and AZIZ, K. (2008). Kernel principal component analysis for efficient, differentiable parameterization of multipoint geostatistics. Mathematical Geosciences, 40, 3–32.

    Article  Google Scholar 

  • SCALES, J.A. and TENORIO, L. (2001). Prior information and uncertainty in inverse problems. Geophysics, 66, 389–397.

    Article  Google Scholar 

  • SCHEFFÉ, H. (1956). Alternative models for the analysis of variance. The Annals of Mathematical Statistics, 27, 251–271.

    Article  Google Scholar 

  • SCHOENBERG, I.J. (1946). Contributions to the problem of approximation of equidistant data by analytic functions. Quarterly of Applied Mathematics, 4, 45–99, 112–141.

    Article  Google Scholar 

  • SCHOENBERG, I.J. (1971). On equidistant cubic spline interpolation. Bulletin of the American Mathematical Society, 77, 1039–1044.

    Article  Google Scholar 

  • SCHÖLKOPF, B. and SMOLA, A.J. (2002). Learning with kernels. Cambridge, MA, The MIT Press.

    Google Scholar 

  • SCHÖLKOPF, B., SMOLA, A.J. and MULLER, K.R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10, 1299–1319.

    Article  Google Scholar 

  • SCHUSTER, A. (1897). On lunar and solar periodicities of earthquakes. Proceedings of the Royal Society, London, 61, 455–465.

    Google Scholar 

  • SCHUSTER, A. (1898). On the investigation of hidden periodicities with applications to a supposed 26 day period of meteorological phenomena. Terrestrial Magnetism, 3, 13–41.

    Article  Google Scholar 

  • SCHUSTER, A. (1900). The periodogram of magnetic declination. Transactions of the Cambridge Philosophical Society, 18, 107–135.

    Google Scholar 

  • SCHWARZACHER, W. (1972). The semi-Markov process as a general sedimentation model. In: MERRIAM, D.F. (ed.). Mathematical models of sedimentary processes. An international symposium. Proceedings of a conference on the state of the art held on campus at The University of Kansas, Lawrence, on 16–18 June 1969. Computer applications in the earth sciences, v. 2. New York, Plenum Press, 247–268.

    Google Scholar 

  • SELFRIDGE, O.G. (1955). Pattern recognition and modern computers. In: AFIPS ’55: Proceedings of the American Federation of Information Processing Societies Western Joint Computer Conference, March 1–3, 1955, Association for Computing Machinery, New York, NY, 91–93.

    Google Scholar 

  • SHARP, W.E. and BAYS, C. (1992). A review of portable random number generators. Computers & Geosciences, 18, 79–87.

    Article  Google Scholar 

  • SHAW, R. and SRIVASTAVA, S. (2007). Particle swarm optimization. A new tool to invert geophysical data. Geophysics, 72, F75–F83.

    Google Scholar 

  • SHERIFF, R.E.(1984). Encyclopedic dictionary of exploration geophysics. 2nd edn., Tulsa, Society of Exploration Geophysicists.

    Google Scholar 

  • SHERIFF, R.E. (1974). Navigation requirements for geophysical exploration. Geophysical Exploration, 22, 526–533.

    Google Scholar 

  • SHIOMI, K., SATO, H. and OHTAKE, M. (1997). Broad-band power-law spectra of well-log data in Japan. Geophysical Journal International, 130, 57–64.

    Article  Google Scholar 

  • SIEGEL, S. (1956). Nonparametric statistics for the behavioural sciences. New York, NY, McGraw-Hill Book Co.

    Google Scholar 

  • SIMPSON, S.M. (1954). Least squares polynomial fitting to gravitational data and density plotting by digital computer. Geophysics, 19, 255–269.

    Article  Google Scholar 

  • SLATER, G.J., HARMON, L.J. and ALFARO, M.E. (2012). Integrating fossils with molecular phylogenies improves inference of trait evolution. Evolution, 66, 3931–3944 [online: http://dx.doi.org/10.1111/ j.1558-5646.2012.01723.x].

  • SMITH, A.B. (1994a). Systematics and the fossil record: Documenting evolutionary patterns. Oxford, Blackwell.

    Book  Google Scholar 

  • SMITH, D.E. (1923–5). History of mathematics (2 vols.). Boston, MS, Glinn & Co [reprinted: Dover Publications, New York, NY, 1958].

    Google Scholar 

  • SMITH, D.G. (1994). Cyclicity or chaos? Orbital forcing versus non-linear dynamics. In: DE BOER, P.L. and SMITH, D.G. (eds.). Orbital forcing and cyclic sequences. International Association of Sedimentologists Special Publication 19. Oxford, Blackwell Scientific, 531–544.

    Google Scholar 

  • SMITH, F.G. (1968). Three computer programs for contouring map data. Canadian Journal of Earth Sciences, 5, 324–327.

    Article  Google Scholar 

  • SMITH, M.K. (1956). Noise analysis and multiple seismometer theory. Geophysics, 21, 337–360.

    Article  Google Scholar 

  • SMITH, S.W. (ed.) (1914). Roberts-Austen. A record of his work. London, Charles Griffin.

    Google Scholar 

  • SNELDERS, H.A.M. (1993). Hendrik Willem Bakhuis Roozeboom (1854–1907). In: De geschiedenis van de scheikunde in Nederland. 1. Van alchemie tot chemie en chemische industrie rond 1900. Delft University Press, Delft, 147–158.

    Google Scholar 

  • SOETAERT, K., CASH, J. and MAZZIA, F. (2012). Solving differential equations in R. Berlin, Springer-Verlag.

    Book  Google Scholar 

  • SOKAL, R.R. and SNEATH, P.H.A. (1963). Principles of numerical taxonomy. San Francisco, CA, Freeman.

    Google Scholar 

  • SOLLER, W. (1924). A new precision X-ray spectrometer. Physical Review, 24, 158–167.

    Article  Google Scholar 

  • SOLOW, A.R. (1991). An exploratory analysis of the occurrence of explosive volcanism in the Northern Hemisphere, 1851–1985. Journal of the American Statistical Association, 86, 49–54.

    Article  Google Scholar 

  • SOLOW, A.R. (2001). An empirical Bayes analysis of volcanic eruptions. Mathematical Geology, 33, 95–102.

    Article  Google Scholar 

  • SONG, X., TANG, L., LV, X., FANG, H. and GU, H. (2012). Application of particle swarm optimization to interpret Rayleigh wave dispersion curves. Journal of Applied Geophysics, 84, 1–13.

    Article  Google Scholar 

  • SOUTHARD, D.A. (1992). Compression of digitized map images. Computers & Geosciences, 18, 1213–1253.

    Article  Google Scholar 

  • SPECHT, D.F. (1967). Generation of polynomial discriminant functions for pattern recognition. IEEE Transactions on Electronic Computers, EC16, 308–319.

    Google Scholar 

  • SPERA, F.J. and BOHRSON, W.A. (2001). Energy-constrained open-system magmatic processes. I. General model and energy-constrained assimilation and fractional crystallization (EC-AFC) formulation. Journal of Petrology, 42, 999–1018.

    Article  Google Scholar 

  • SRINIVASAN, S. and RANGANATHAN, S. (2004). India’s legendary ‘wootz’ steel. An advanced material of the ancient world. Jamshedpur, Tata Steel.

    Google Scholar 

  • STANLEY, C.R. (2006a). Numerical transformation of geochemical data: 1. Maximizing geochemical contrast to facilitate information extraction and improve data presentation. Geochemistry: Exploration, Environment, Analysis, 6, 69–78.

    Google Scholar 

  • STANLEY, C.R. (2006b). Numerical transformation of geochemical data: 2. Stabilizing measurement error to facilitate data interpretation. Geochemistry: Exploration, Environment, Analysis, 6, 79–96.

    Google Scholar 

  • STANLEY, C.R. and RUSSELL, J.K. (1989). PEARCE.PLOT: Interactive graphics-supported software for testing petrologic hypotheses with Pearce element-ratio diagrams. American Mineralogist, 74, 273–276.

    Google Scholar 

  • STAUFFER, D. (1976). Exact distribution of cluster size and parameter for two-dimensional percolation. Zeitschrift für Physik, B25, 391–399.

    Google Scholar 

  • STAUFFER, D. (1985). Introduction to percolation theory. London, Taylor and Francis.

    Book  Google Scholar 

  • STAUFFER, M.R. (ed.) (1983). Fabric of ductile strain. Benchmark Papers in Geology 75. Stroudberg, PA, Hutchinson Ross.

    Google Scholar 

  • STEVENS, W.L. (1938). Estimation of blood group gene frequencies. Annals of Eugenics, 8, 362–375.

    Article  Google Scholar 

  • STRODE, T. (1678). A short treatise of the combinations, elections, permutations and composition of quantities. London, W. Godbid.

    Google Scholar 

  • STURGUL, J.R. and AIKEN, C. (1970). The best plane through data. Journal of the International Association for Mathematical Geology, 2, 325–332.

    Article  Google Scholar 

  • STURM, E. (2009). The new PL/I for PC, workstation and mainframe. Wiesbaden, Vieweg & Teubner.

    Google Scholar 

  • SUNDER, S.S. and CONNOR, J.J. (1982). A new procedure for processing strong-motion earthquake signals. Bulletin of the Seismological Society of America, 72, 648–661.

    Google Scholar 

  • SWINNERTON-DYER, H.P.F. (1962). The calculation of power spectra. Computer Journal, 5, 16–23.

    Article  Google Scholar 

  • SWITZER, P. and PARKER, H.M. (1976). The problem of ore versus waste discrimination for individual blocks: The lognormal model. In: GUARASCIO, M., DAVID, M. and HUIJBREGTS, C. (eds.). Advanced geostatistics in the mining industry. Proceedings of the NATO Advanced Study Institute held at the Istituto di Geologia Applicata of the University of Rome, Italy, 13–25 October 1975. Dordrecht, D. Reidel, 203–218.

    Google Scholar 

  • TAIT, P.G. (1867). An elementary treatise on quaternions. Oxford, Clarendon Press.

    Google Scholar 

  • TAKENS, F. (1981). Detecting strange attractors in turbulence. In: RAND, D.A. and L.S. YOUNG, L.S. (eds.). Dynamical systems and turbulence. Lecture notes in mathematics. v 898. Berlin, Springer-Verlag, 366–381.

    Google Scholar 

  • TARLOWSKI, Z. (1982). Direct and inverse problems in local electromagnetic induction. Surveys in Geophysics, 4, 395–404.

    Article  Google Scholar 

  • TAYLOR, B. (1713). De motu nervi tensi [On the motion of a stretched string]. Philosophical Transactions of the Royal Society, London, 28, 26–32.

    Article  Google Scholar 

  • THIELE, T.N. (1889). Almindelig Iagttagelseslaere: Sandsynlighedsregning og mindste Kvadraters Methode [The general theory of observations: Probability calculus and the method of least squares]. Copenhagen, Reitzel.

    Google Scholar 

  • THOMPSON, M. (1988). Variation of precision with concentration in an analytical system. The Analyst, 113, 1579–1587.

    Article  Google Scholar 

  • THOMPSON, M. and COLES, B.J. (2011). Use of the ‘characteristic function’ for modelling repeatability precision. Accreditation and Quality Assurance, 16, 13–19 [online: http://dx.doi.org/10.1007/s00769-010-0719-0].

  • THOMSON, W. [Lord Kelvin] (1856). Elements of a mathematical theory of elasticity. Philosophical Transactions of the Royal Society, London, 146, 481–498.

    Article  Google Scholar 

  • TODHUNTER, I. (1873). A history of the mathematical theories of attraction and the Figure of the Earth. From the time of Newton to that of Laplace. London, Macmillan.

    Google Scholar 

  • TONINI, R., SANDRI, L. and THOMPSON, M.A. (2015). PyBetVH: A Python tool for probabilistic volcanic hazard assessment and for generation of Bayesian hazard curves and maps. Computers & Geosciences, 79, 38–46.

    Article  Google Scholar 

  • TRASK, P.D. (1932a). Origin and environment of source sediments of petroleum. Houston, TX, Gulf Publishing.

    Google Scholar 

  • TRASK, P.D. (1932b). Studies of recent marine sediments conducted by the American Petroleum Institute. In: Report of the Committee on Sedimentation 1930–32. Bulletin of the National Research Council no. 89. Washington, DC, The National Academy of Sciences, 60–67.

    Google Scholar 

  • TRYON, R.C. (1939). Cluster analysis. Ann Arbor, MI, Edwards Brothers.

    Google Scholar 

  • TUKEY, J.W. (1950). The sampling theory of power spectrum estimates. In: Symposium on applications of autocorrelation analysis to physical problems. NAVEXOS P-735, Washington, DC, United States Office of Naval Research, 47–67 [reprinted in: BRILLINGER, D.R. (ed.) The collected works of John W. Tukey. Vol. 1. Time series: 1949–1964. Wadsworth, Pacific Grove, CA., 129–160].

    Google Scholar 

  • TUKEY, J.W. (1959a). Equalization and pulse shaping techniques applied to the determination of initial sense of Rayleigh waves. In: Panel on Seismic Improvement. The need for fundamental research in seismology. Washington, DC, United States Department of State, 60–129 [reprinted in: BRILLINGER, D.R. (ed.) (1984). The collected works of John W. Tukey. Vol. 1. Time series: 1949–1964. Pacific Grove, CA, Wadsworth, 309–358].

    Google Scholar 

  • TUKEY, J.W. (1980a). Can we predict where ‘time series’ should go next? In: BRILLINGER, D.R. and TAIO, T.C., (eds.). Directions in time series. Proceedings of the IMS Special Topics meeting on time series analysis, Iowa State University, May 1–13, 1978., Institute of Mathematical Statistics, Hayward, CA, 1–31.

    Google Scholar 

  • TUKEY, J.W. and HAMMING, R. W. (1949). Measuring noise color. I. Memorandum MM-49-110-119, 1 December 1949, Murray Hill, NJ, Bell Telephone Laboratory, 1–120 [Reprinted in: BRILLINGER, D.R. (ed.) (1984). The collected works of John W. Tukey. Vol. 1. Time series: 1949–1964. Wadsworth, Pacific Grove, CA, 1–127].

    Google Scholar 

  • TURCOTTE, D.L. (1992). Fractals and chaos in geology and geophysics. Cambridge, Cambridge University Press.

    Google Scholar 

  • TURCOTTE, D.L. (1997). Fractals and chaos in geology and geophysics. 2nd edn., Cambridge, Cambridge University Press.

    Book  Google Scholar 

  • TURNER, F.J. (1938). Petrofabric investigations of the Otago Schists, no. 2. Transactions of the Royal Society of New Zealand, 68, 107–121.

    Google Scholar 

  • TURNER, F.J. and WEISS, L.E. (1963). Structural analysis of metamorphic tectonites. New York, NY, McGraw-Hill.

    Google Scholar 

  • van ROSSUM, G. (1995). Python tutorial. Technical Report CS-R9526, Amsterdam, Centrum voor Wiskunde en Informatica.

    Google Scholar 

  • van ROSSUM, G. and DRAKE, F.L., Jr. (2011). An introduction to Python – The Python tutorial (version 3.2). Bristol, Network Theory.

    Google Scholar 

  • VAUGHAN, S., BAILEY, R.J. and SMITH, D.G. 2011. Detecting cycles in stratigraphic data: Spectral analysis in the presence of red noise. Paleogeography, 26, PA4211 [online: http://dx.doi.org/10.1029/ 2011PA002195].

  • VENABLES, W.N. and RIPLEY, B.D. (1994). Modern applied statistics with S-Plus. New York, NY, Springer-Verlag.

    Book  Google Scholar 

  • VISTELIUS, A.B. (1961). Sedimentation time trend functions and their application for correlation of sedimentary deposits. Journal of Geology, 69, 703–728.

    Article  Google Scholar 

  • VISTELIUS, A.B. (ed.) (1967). Studies in mathematical geology. New York, NY, Consultants Bureau (Plenum Press).

    Google Scholar 

  • VISTELIUS, A.B. (1980). Osnovy matematičeskoj geologii [Essential mathematical geology]. Leningrad, AN SSSR Izdatel’stvo nauk.

    Google Scholar 

  • VISTELIUS, A.B. (1992). Principles of mathematical geology [translated by S.N. BANERGEE]. Dordrecht, Kluwer.

    Google Scholar 

  • VISTELIUS, A.B. and SARMANOV, O.V. (1947). Stokhasticheskiy osnova iz geologicheski vazhnyy raspredelenija verojatnostej [Stochastic basis of a geologically important probability distribution]. Doklady Akademiya nauk SSSR, 58, 631–634 [English translation in: VISTELIUS (1967), 84–86].

    Google Scholar 

  • WADSWORTH, G.P., ROBINSON, E.A., BRYAN, J.B. and HURLEY, P.M. (1953). Detection of reflections on seismic records by linear operators. Geophysics, 18, 539–586.

    Article  Google Scholar 

  • WASSERMANN, J.M., KRISCHER, L., MEGIES, T., BARSCH, R. and BEYREUTHER, M. (2013). ObsPy: A Python toolbox for seismology. Abstract no. S51A-2322. In: American Geophysical Union, Fall Meeting San Francisco, 9–13 December 2013, Washington, DC, American Geophysical Union [online: http://adsabs.harvard.edu/abs/2013AGUFM.S51A2322W; http://www.obspy.org].

  • WEAVER, J.S. and LANGMUIR, C.H. (1990). Calculation of phase equilibrium in mineral-melt systems. Computers & Geosciences, 16, 1–19.

    Article  Google Scholar 

  • WEEDON, G.P. (2003). Time series analysis and cyclostratigraphy. Cambridge, Cambridge University Press.

    Book  Google Scholar 

  • WEINBERG, G.M. (1966). PL/I programming primer. New York, NY, McGraw-Hill.

    Google Scholar 

  • WEISS, R.E. and MARSHALL, C.R. (1999). The uncertainty in the true endpoint of a fossil’s stratigraphic range when stratigraphic sections are sampled discretely. Mathematical Geology, 31, 435–453.

    Article  Google Scholar 

  • WELTJE, G.J. (2002). Quantitative analysis of detrital modes: statistically rigorous confidence regions in ternary diagrams and their use in sedimentary petrology. Earth Science Reviews, 57, 211–253.

    Article  Google Scholar 

  • WENTWORTH, C.K. (1922). A scale of grade and class terms for clastic sediments. Journal of Geology, 30, 377–392.

    Article  Google Scholar 

  • WHITTAKER, E.T. and ROBINSON, G. (1932). The calculus of observations. A treatise on numerical mathematics. 2nd ed., London, Blackie & Son.

    Google Scholar 

  • WHITTEN, E.H.T. (1963). A surface-fitting program suitable for testing geological models which involve areally-distributed data. Technical Report no. 2 of ONR Task no. 389-135, Contract Nr. 1228(26). Office of Naval Research Geography Branch, Evanston, IL, Northwestern University.

    Google Scholar 

  • WHITTEN, E.H.T. (1964). Process-response models in geology. Bulletin of the Geological Society of America, 75, 455–464.

    Article  Google Scholar 

  • WIENER, N. (1926). The harmonic analysis of irregular motion. Journal of Mathematics and Physics, 5, 99–121, 158–189.

    Article  Google Scholar 

  • WIENER, N. (1930). Generalised harmonic analysis. Acta Mathematica, 55, 117–258.

    Article  Google Scholar 

  • WIENER, N. (1942). The extrapolation, interpolation and smoothing of stationary time series with engineering applications. D.I.C. Contract 6037, A research pursued on behalf of the National Defence Research Council (Section D) February 1, 1942. Cambridge, MA, The Massachusetts Institute of Technology.

    Google Scholar 

  • WIENER, N. (1949). Extrapolation, interpolation, and smoothing of stationary time series: with engineering applications. Cambridge, MA, Technology Press, Massachusetts Institute of Technology.

    Google Scholar 

  • WILK, M.B. and GNANADESIKAN, R. (1968). Probability plotting methods for the analysis of data. Biometrika, 55, 1–17.

    Google Scholar 

  • WILKES, M.V., WHEELER, D.J. and GILL, S. (1951). The preparation of programs for an electronic digital computer. With special reference to the EDSAC and the use of a library of subroutines. Cambridge, MS, Addison Wesley.

    Google Scholar 

  • WILLIAMS, G.E. (1989). Late Precambrian tidal rhythmites in South Australia and the history of the Earth’s rotation. Journal of the Geological Society, London, 146, 97–111.

    Article  Google Scholar 

  • WILSON, I.T. (1937). The accumulated sediment in Tippecanoe Lake and a comparison with Winona Lake. Proceedings of the Indiana Academy of Science, 47, 234–253.

    Google Scholar 

  • WIRTH, N. (1971). The programming language Pascal. Acta Informatica, 1, 35–63.

    Article  Google Scholar 

  • WISNIAK, J. (2003). Hendrik-Willem Bakhuis Roozeboom: Equilibrium and phase topology. Journal of Phase Equilibria and Diffusion, 24, 422–430.

    Article  Google Scholar 

  • WOLMAN, M.G. (1954). A method of sampling coarse river bed material. EOS Transactions American Geophysical Union, 35, 951–956.

    Article  Google Scholar 

  • WOODCOCK, N.H. (1976). The accuracy of structural field measurements. The Journal of Geology, 84, 350–355.

    Article  Google Scholar 

  • WRINCH, D.M. and JEFFREYS, H. (1919). On some aspects of the theory of probability. Philosophical Magazine, ser. 6, 38, 715–731.

    Article  Google Scholar 

  • YANG, C.-S. and KOUWE, W.F.P. (1995). Wireline log-cyclicity analysis as a tool for dating and correlating barren strata: an example from the Upper Rotliegend of The Netherlands. In: DUNAY, R.E. and HAILWOOD, E.A. (eds.). Non-biostratigraphical methods of dating and correlation. Special Publication 89. London, The Geological Society, 237–259.

    Google Scholar 

  • ZAPOROZEC, A. (1972). Graphical interpretation of water-quality data. Ground Water, 10, 32–43.

    Article  Google Scholar 

  • ZHOU, D. (1989). ROPCA: A FORTRAN program for robust principal components analysis. Computers & Geosciences, 15, 59–78.

    Article  Google Scholar 

  • ZHUANG, J. and OGATA, Y. (2006). Properties of the probability distribution associated with the largest event in an earthquake cluster and their implications to foreshocks. Physical Review, ser. E, 73, 046134-1–046134-12 [online: http://dx.doi.org/10.1103/PhysRevE.73.046134].

  • ZHUANG, J., CHANG, C., OGATA, Y. and CHEN, Y. (2005). A study on the background and clustering seismicity in the Taiwan region by using point process models. Journal of Geophysical Research, 110 (B5), B05S18-1–B05S18-12 [online: http://dx.doi.org/10.1029/2004JB003157].

  • ZHUANG, J., OGATA, Y. and VERE-JONES, D. (2002). Stochastic declustering of space-time earthquake occurrences. Journal of American Statistical Association, 97, 369–380.

    Article  Google Scholar 

  • ZITELLI, L.T. (1948). Repeller field shape as a factor in the design of broad-band reflex klystron receivers. Electronics Research Laboratory Technical Report 3, Stanford, CA, Stanford University.

    Google Scholar 

  • ZOBEL, O.J. (1923a). Electrical wave filter. United States Patent Office, Patent number 1,615,212 [filed 1923, granted 1927].

    Google Scholar 

  • ZOBEL, O.J. (1923b). Theory and design of uniform and composite electric wave filters. Bell Systems Technical Journal, 2, 1–46.

    Article  Google Scholar 

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Howarth, R.J. (2017). P. In: Dictionary of Mathematical Geosciences . Springer, Cham. https://doi.org/10.1007/978-3-319-57315-1_16

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