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Summary A coalification data set from the first seam of the Rosice-Oslavany coal district in the Boskovice furrow was used to estimate the temperature gradient prevailing within the furrow during Autunian sedimentation. An appreciable scatter of the data reflects the complicated history of the sedimentary region. The northern part of the district displays a higher degree of coalification. The results of the evaluation suggest that the region ceased to subside in the upper Autunian, and that the extent of the post-Autunian erosion does not exceed 500 metres. This version of the burial history, which is consistent with geological data, yields a temperature paleogradient of 76 mK/m for the northern part and of 72 mK/m for the southern part of the district. The gradients estimated are higher than those prevailing during the Carboniferous sedimentation in the Central Bohemian Basin (45 – 53 mK/m), lower than values found for the Ostrava Formation in the Upper Silesian Basin during its Namurian A sedimentation (about 95 mK/m), but comparable with values evaluated for the Karviná Formation of the same basin deposited during the Namurian B - C and Westphalian A (60 – 77 mK/m).Dedicated to the Memory of Professor Karel P  相似文献   
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Summary If the condition R(A)=k(n), whereA is the design matrix of the type n × k and k the number of parameters to be determined, is not satisfied, or if the covariance matrixH is singular, it is possible to determine the adjusted value of the unbiased estimable function of the parameters f(), its dispersion D( (x)) and 2 as the unbiased estimate of the value of 2 by means of an arbitrary g-inversion of the matrix . The matrix , because of its remarkable properties, is called the Pandora Box matrix. The paper gives the proofs of these properties and the manner in which they can be employed in the calculus of observations.  相似文献   
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Summary Fundamental models of the calculus of observations. Regularity and singularity of models. Universal model. Unbiased estimable and unbiased unestimable functions of the model parameters.  相似文献   
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Summary The present approach to the study of the least squares method which lies in introducing the basic principle of this method into various functional metric spaces is dealt with.  相似文献   
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Summary A theorem on the invariance of a unit dispersion estimator with respect to a transformation eliminating a systematic influence from measured data is presented. In the case of a normally distributed observation vector the resulting estimator of the unit dispersion is unbiased, uniformly (with respect to the parametric space) effective and invariant (with respect to the first order parametric space). A typical domain of application is the case of processing results of measurements by gravimeters.  相似文献   
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Summary Time varying coordinates of points of a geodetic network are indirectly measured by a group of measurement devices with different characteristics of accuracy in several epochs. The design of the measurement is the same in all epochs. The ratio of the characteristics of accuracy is a priori unknown. The aim is to determine an estimator of the parameters of functions modelling changes of the coordinates, confidence regions of these functions and to construct a procedure for testing linear hypotheses on time varying coordinates of a geodetic network. As the characteristics of accuracy are a priori unknown, the problem of their estimation has to be solved simultaneously. The research of rules of recent crustal movements leads to studying the mentioned model.  相似文献   
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Summary A mathematical model for optimum prediction, filtration and simultaneous prediction and filtration of the fields considered has been constructed using Hilbert spaces with a reproduction kernel, formed by the covariance function of the observed anomalous geophysical potential field under the assumption that the field is an inhomogeneous random function.  相似文献   
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