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  • Books
  • Articles  (11)
  • geochemistry  (11)
  • 1970-1974  (11)
  • 1935-1939
  • Geosciences  (11)
  • Architecture, Civil Engineering, Surveying
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  • Books
  • Articles  (11)
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  • Geosciences  (11)
  • Architecture, Civil Engineering, Surveying
  • Mathematics  (11)
  • 1
    Electronic Resource
    Electronic Resource
    An empirical discriminant method applied to sedimentary-rock classification from major-element geochemistry (1971)
    Springer
    Mathematical geology 3 (1971), S. 51-60 
    Details
    ISSN: 1573-8868
    Keywords: entropy ; principal components analysis ; geochemistry ; mineralogy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Classification of sandstones, greywackes, pelites, limestones, dolomites, and acid-igneous and basicigneous rocks, using a literature sample of 183 post-1920 analyses for the 11 major oxides has achieved an 80-percent success rate. The method is based on nonparametric estimation of a probability density function for each category to be classified, using the Bayes decision rule. The method is suitable for use with small training sets and gives much improved results over a linear discriminant function. Classification following data compression using principal components also has given satisfactory recognition rates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02047432
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  • 2
    Electronic Resource
    Electronic Resource
    Geostatistical investigations of gabbro occurrences near Savantvadi, Ratnagiri district, India (1972)
    Springer
    Mathematical geology 4 (1972), S. 147-153 
    Details
    ISSN: 1573-8868
    Keywords: classification ; statistical inference ; statistics ; geochemistry ; petrochemistry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract This paper embodies petrographical and statistical investigations of three gabbro occurrences. The Mangaon and Kunkeri gabbros are similar in petrography and petrochemistry, whereas they are completely different from the Vajrat gabbro. Application of recently developed statistical tests help in classifying these gabbros by using three oxides, CaO, FeO, and K2O.This study shows that the evolution of the Mangaon and Kunkeri gabbros probably proceeded along different lines as compared to the Vajrat gabbro.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02080299
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  • 3
    Electronic Resource
    Electronic Resource
    Application of some correlation coefficient techniques to time-series analysis (1974)
    Springer
    Mathematical geology 6 (1974), S. 363-372 
    Details
    ISSN: 1573-8868
    Keywords: autocorrelation ; crosscorrelation ; time series ; geochemistry ; sedimentology ; stratigraphy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Application of the sliding correlation technique has permitted detailed stratigraphic correlation over entire basins. The main values of the technique are to (1) demonstrate correlation statistically, (2) extend the range of visual correlation, and (3) establish precise correlation where correlation is known to exist but is difficult to establish visually. The technique is especially valuable in aiding correlation of stratigraphic sequences such as varves and turbidites, which are characterized by monotonous repetition of two or more lithologic components. The moving correlation technique is a valuable aid in examining variations in degree of correlation between correlative sections, and in analysis of component associations within a single stratigraphic sequence.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02082357
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  • 4
    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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  • 5
    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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  • 6
    Electronic Resource
    Electronic Resource
    Multivariate discriminant analysis of bioclastic turbidites (1972)
    Springer
    Mathematical geology 4 (1972), S. 249-261 
    Details
    ISSN: 1573-8868
    Keywords: cluster analysis ; discriminant analysis ; principal-components analysis ; geochemistry ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A piston core from the southern Blake Basin penetrated nine distinct bioclastic carbonate turbidites separated by pelagic terrigenous clay units. X-ray diffraction analysis of the carbonate mineralogy of the graded, laminated, and homogenous units of the individual turbidite units indicated a general loss of unstable carbonates in the homogenous unit beyond that contained in the lower two units. Univariate and multivariate statistical tests were employed to determine the significance of the changes and to determine if different units of a turbidite sequence could be consistently grouped by statistical methods. Principal components, discriminant function, and cluster analysis were used in the multivariate tests. The graded and laminated units were closely related in mineralogy with little significant differences. The mineralogy of the homogenous units was significantly different than that of the other two units except in one example. Cluster analysis generated five groupings of the samples with the end members consisting of graded and laminated units at one end and homogenous units at the other.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02311721
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  • 7
    Electronic Resource
    Electronic Resource
    Use of discriminant analysis for classification of strata in sedimentary successions (1973)
    Springer
    Mathematical geology 5 (1973), S. 163-177 
    Details
    ISSN: 1573-8868
    Keywords: classification ; discriminant analysis ; geochemistry ; numerical taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The technique of instrumental neutron activation analysis (INAA) has been used to analyze chip samples of geological material for 12 elements. Discriminant analysis has been used to classify the unknown chip samples to the correct stratum in a sedimentary succession.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111893
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  • 8
    Electronic Resource
    Electronic Resource
    Thoughts on use of principal component analysis in petrogenetic problems (1973)
    Springer
    Mathematical geology 5 (1973), S. 341-350 
    Details
    ISSN: 1573-8868
    Keywords: principal components analysis ; geochemistry ; petrology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The use of principal component analysis in studying chemical trends in volcanic rock suites is described. It is suggested that eigenvectors generated from a correlation matrix, rather than a covariance matrix, could be used in this context. In the latter situation many elements are swamped by silicon's numerical size and range. In the former situation the alkalies and titanium begin to show their true importance.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111985
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  • 9
    Electronic Resource
    Electronic Resource
    Broken-line and complex frequency distributions (1971)
    Springer
    Mathematical geology 3 (1971), S. 135-155 
    Details
    ISSN: 1573-8868
    Keywords: data processing ; plotting ; statistics ; geochemistry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Broken straight lines on probability paper have been proposed as representing the cumulative probability distributions of SiO2, Na, and Cl in certain plutons. This corresponds to pairs of complementarily truncated normal or lognormal distributions. It is shown that alternative representations, such as pairs of overlapping complete normal or lognormal distributions, yield fits equally acceptable statistically if the sample selection is random. The method also yields a good description of distributions described as “complex.” Computer methods of optimizing the free parameters are used; significance testing is discussed in some detail. It is stressed that although significance testing is helpful, it can neither relieve the geochemist of the burden nor take from him the privilege of being independent, and forming his opinion on the total evidence.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02045957
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  • 10
    Electronic Resource
    Electronic Resource
    Estimation of parameters in petrologic materials balance equations (1973)
    Springer
    Mathematical geology 5 (1973), S. 225-236 
    Details
    ISSN: 1573-8868
    Keywords: estimation ; materials balance ; mathematics ; mixing equations ; geochemistry ; petrology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A rigorous treatment of the least-squares estimation of the parameters in petrologic materials balance equations is developed to take into account the uncertainties inherent in the chemical analyses. The choice of the optimal estimation procedure for a particular problem is dependent upon the extent of the petrogenetic understanding of the exact nature of the materials balance involved. Some of the complications entailed in obtaining least-squares estimates are illustrated by the examples of magmatic differentiation and metamorphic reactions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111812
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