Topics in Mathematical Geology, 1970

Collections of this sort are a regular publication feature of the Laboratory of Mathemati­ cal Geology of the Order of Lenin V. A. Steklov Mathematical Institute of the Academy of Sci­ ences of the USSR. In the future it is intended that further collections and monographs reflect­ ing the activity of the Laboratory be issued. In this present collection, in addition to workers of the Laboratory of Mathematical Geology, specialists of both Russia and many foreign countries participated. This has permit­ ted us to display the general level of mathematization of geology in 1966. In order to enhance the overall view, the editors have included a section "Chronicle and Bibliography" in which in­ formation is given on the most important actions relating to mathematization of geology taking place in 1965 and the first half of 1966, and which includes a bibliography on two-dimensional regressions having great practical value in geology but little known to us in the Soviet Union.

The Life and Work of Andrei Borisovich Vistelius.- The Published Works of A. B. Vistelius.- I. Geologic Hypothesis and Probability Distributions.- Geochemical Behavior of Elements in the Lithosphere.- Generation of the Log-Normal Frequency Distribution in Sediments.- Correlation of Joint Trends with the Elements of Tectonic Structures.- II. Use of the Specific Properties of Multidimensional Space in Solving Geological Problems.- The Origin of Clastic Mineral Associations in the Aptian-Cenomanian Rocks of the Southwestern Ural and Mugodzhary Region.- On Locating Field Boundaries in Simple Phase Diagrams by Means of Discriminant Functions.- Two-Cluster Discrimination in Analytical Geochemistry using the Distance Coefficient.- III. Paragenetic Analysis.- Distribution of Percentage Values.- Niobium in Metagranites of the Polar Urals.- Linear Paragenetic Associations in Rocks and Minerals of the Ladoga Formation.- Processes of Magmatic Differentiation in Connection with Paragenetic Features among Rock-Forming Elements in Natural Glass.- IV. Analysis of Geologic Sections.- A Stochastic Model of Stratification (the Case of Unlimited Interstratal Erosion).- The Vertical and Lateral Variation of a Carboniferous Limestone Area Near Sligo (Ireland).- Use of a Harmonic Model for Analysis of the Dynamic System of Sedimentation in the Jatulian of Central Karelia.- Analysis of Sequences of Mineral Grains in Granites of the Kyzyltas Massif (Central Kazakhstan) as a Manifestation of the Markov Process.- Use of the Computer for Quantitative Analysis of Fossil Distribution.- V. Mapping Geological Characteristics.- Geometrical Properties of the Surface of the Alekseevka Uplift in the Kuibyshev District.- Sorting of Clastic Material in Eolian Deposits of Central Kara Kum.- VI. Various Geological Problems.- Heat Conduction Calculations on the Thermal History of Contact Aureoles.- Variance of Some Selected Attributes in Granitic Rocks.- The Role of Mathematical Statistics in Improved Ore Valuation Techniques in South African Gold Mines.- Fundamental Problems of Computing Reserves of Mineral Resources.- Visual Display of Computer Output Aids Geological Interpretation.- VII. Chronicle and Bibliography.- Trend Analysis of Geologic Data (Basic Literature).- Mathematical Methods in Geology (Chronicle for the Period from September 1964 to September 1966).