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  • Articles  (12)
  • general geology  (12)
  • Springer  (12)
  • Ovid Technologies
  • 1970-1974  (12)
  • Geosciences  (12)
  • Architecture, Civil Engineering, Surveying
  • Energy, Environment Protection, Nuclear Power Engineering
Collection
  • Articles  (12)
Source
Keywords
Publisher
  • Springer  (12)
  • Ovid Technologies
Years
  • 1970-1974  (12)
Year
Topic
  • Geosciences  (12)
  • Architecture, Civil Engineering, Surveying
  • Energy, Environment Protection, Nuclear Power Engineering
  • Mathematics  (12)
  • 1
    Electronic Resource
    Electronic Resource
    Trend-surface analysis (1971)
    Springer
    Mathematical geology 3 (1971), S. 215-226 
    Details
    ISSN: 1573-8868
    Keywords: autocorrelation ; kriging ; regionalized variables ; trend analysis ; geostatistics ; general geology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract This paper is largely an exposition of the work of the French geostatistian G. Matheron and his school in English and at a simpler mathematical level. The probability theory on which it is based is essentially all contained in the references cited, most of which will be unfamiliar to mathematical geologists. The important method of ‘universal kriging” is explained intuitively. The genuine statistical problems, which have yet to be overcome, are pointed out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02045792
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  • 2
    Electronic Resource
    Electronic Resource
    A generalized set of discrete frequency distributions with Fortran program (1972)
    Springer
    Mathematical geology 4 (1972), S. 1-24 
    Details
    ISSN: 1573-8868
    Keywords: discrete frequency distributions ; statistics ; general geology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Geologists unfamiliar with the application of probability theory to discrete data in other fields of research are usually acquainted with only three discrete theoretical frequency distributions: Poisson, binomial, and negative binomial distributions. In some situations these distributions may fail to adequately describe a set of experimental data. Other distributions such as the Poisson with zeros, Neyman type A, logarithmic with zeros, Poisson-binomial, and Thomas double Poisson together with the more common Poisson, binomial, and negative binomial form a generalized subset of discrete theoretical distributions, one of which should fit almost any experimental data set. A computer program is presented which allows testing of any combination of these distributions against observed discrete data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02083189
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  • 3
    Electronic Resource
    Electronic Resource
    Some considerations in management of computer-processable files of geological data (1974)
    Springer
    Mathematical geology 6 (1974), S. 291-310 
    Details
    ISSN: 1573-8868
    Keywords: data processing ; general geology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Many sets of data in the natural sciences have a hierarchical structure that is either inherent in the data or that is imposed on them during collection. These data structures can be defined using mathematical set-theory notation. If data from two or more computer-processable files are accessed simultaneously, the application of operations of set union and intersection leads to emergence of certain criteria which must be adhered to when managing data files using a generalized, database management system. One of the situations in which these principles come into play is illustrated by the merging of two computer-processable files of geotechnical data, the data for both files having been derived from the same source but structured differently.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02082353
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  • 4
    Electronic Resource
    Electronic Resource
    Effect of trends on correlation in open and closed three-component systems (1972)
    Springer
    Mathematical geology 4 (1972), S. 317-330 
    Details
    ISSN: 1573-8868
    Keywords: linear correlation ; mapping ; trend analysis ; general geology ; mineralogy ; petrology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract It is well known among geologists that closure of an open-number system, as when stratigraphic rock thicknesses are converted to percentages, introduces correlations among the components even in the absence of correlations in the open system. In closed three-component systems the covariances are single-valued functions of the closed variances and are exactly predictable. If the open system has “inherent” correlation (point correlations) among its components the corresponding closed covariances reflect their presence in a predictable manner. If areal trends are present in the open system, the open covariances are themselves affected, but this “trend effect” can be completely removed to recover the initial point correlations among the components. Areal trends in open systems strongly influence the structure of the closed variance-covariance matrices, and the situation becomes increasingly complicated if the open system has both point correlations and areal trends. The paper considers the problems involved, and includes Monte Carlo runs to compare computed and predicted variances and covariances as data sets are followed from open systems with correlation but no trend to the closed equivalent of open systems with point correlations and trends.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02114093
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  • 5
    Electronic Resource
    Electronic Resource
    Preliminary assessment of a nonlinear mapping algorithm in a geological context (1973)
    Springer
    Mathematical geology 5 (1973), S. 39-57 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; dimensionality reduction ; mapping ; multivariate analysis ; principal-components analysis ; general geology ; geochemistry ; paleontology ; petrology ; stratigraphy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A new algorithm has been developed by J. W. Sammon for the nonlinear-point mapping of high-dimensional data in two dimensions such that the inherent structure of the data is approximately preserved. This paper describes results using several sets of geologic data including stratigraphic thickness, petrographic modal analysis, and morphological or geochemical measurements. Comparisons are made with hierarchical cluster analysis using dendrogram representation. Initial results are encouraging and suggest that the technique could have widespread geological applications.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02114086
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  • 6
    Electronic Resource
    Electronic Resource
    Fortran IV program for grey-level mapping of spatial data (1971)
    Springer
    Mathematical geology 3 (1971), S. 95-121 
    Details
    ISSN: 1573-8868
    Keywords: data processing ; mapping plotting ; statistics ; general geology ; geochemistry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Afortran iv computer program for grey-level mapping of spatial data using a CDC 6600 is described. The program produces maps for irregularly distributed data in as many as 10 intensity levels which are displayed in grey tones by a lineprinter. Unlimited map size and unrestricted data input provide for as many as 5000 data points per 13-in.-wide strip of map. The program is easily modified for other installations. Examples are given of geochemical analyses of stream sediments in Northern Ireland.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02045955
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  • 7
    Electronic Resource
    Electronic Resource
    A statistical prediction technique for deriving contour maps from geophysical data (1973)
    Springer
    Mathematical geology 5 (1973), S. 179-189 
    Details
    ISSN: 1573-8868
    Keywords: contouring ; data processing ; mapping ; mathematics ; plotting ; general geology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A technique for preparing contour maps is presented which has particular applicability for geophysical data. This technique derives from the assumption that each measured value is a sample from a statistical distribution which is taken to be valid in the area around that sample location. This distribution may be specified in the manner which best defines the relationship between the data and its spatial environment. Extending this principle to cover all areas to be mapped, and not just those measured, it is possible to predict values over a grid array of locations and hence to produce a contour map. Inherent in this simple procedure is: (i) the ability to adjust to the nature of the data being contoured; (ii) the elimination of edge effects; (iii) visual indication of the relative accuracy with which contours are located, at all points of the map; (iv) the automatic downgrading of data values which are in error; (v) the ability to contour combinations of measured data values without compounding errors; and (vi) a relatively simple extension to data spatially distributed in three dimensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111894
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  • 8
    Electronic Resource
    Electronic Resource
    Some principles of data storage and information retrieval and their implications for information exchange (1973)
    Springer
    Mathematical geology 5 (1973), S. 1-10 
    Details
    ISSN: 1573-8868
    Keywords: classification ; data processing ; information exchange ; general geology ; groundwater ; numerical taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The definition of objectives and question of interpretation must be considered when setting up data banks. The objective will determine the type of data to be collected. A hierarchy of data-processing systems exists where the amount of interpretation in the data increases as the order of the system increases. The remarkable continuity of basic data can be embodied in the axiom: “Any fundamental data free of interpretation cannot be discontinuous.” The measurement of space and time remain invariant for all orders of data systems and are essential for relating data containing various amounts of interpretation. In general, only basic data should be exchanged. Where this is not feasible the object described should be clearly defined in space and time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02114083
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  • 9
    Electronic Resource
    Electronic Resource
    A computer program to construct cross sections of curved surfaces (1973)
    Springer
    Mathematical geology 5 (1973), S. 149-161 
    Details
    ISSN: 1573-8868
    Keywords: contouring ; graphics ; plotting ; general geology ; mining ; structure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A description of xsectn,a Fortran IV computer program, is given. The program is one solution to the problem of graphically displaying crosssection information. Because of the capability and flexibility of the program, it may be used to prepare cross sections of a wide variety of geological and related surfaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111892
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  • 10
    Electronic Resource
    Electronic Resource
    Statistical techniques and their application in palynology (1973)
    Springer
    Mathematical geology 5 (1973), S. 297-311 
    Details
    ISSN: 1573-8868
    Keywords: statistics ; general geology ; paleontology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The basic principals of hypothesis testing are reviewed, including the development of the hypothesis, the statistical assumptions made, and the test of the hypothesis. The appropriate experimental design and sampling technique for evaluation of hypotheses posed are discussed. Because the analysis of variance involving the F-test should be used in a wide variety of geological experiments, emphasis is placed on this analysis. Many geological experiments result in the measurement of one or more factors on a continuous scale, whereas others are recorded in a discrete fashion. This necessitates the use of a covariance analysis to evaluate the effect of discrete and continuous factors in the same model. Orthogonal comparisons are discussed as they are used to evaluate specific hypotheses following the general test of hypothesis in the analysis of variance or covariance. All procedures discussed are illustrated using actual palynofloral data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111816
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