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1
Content available remote Działalnosć Komitetu Górnictwa PAN w 2001 roku
Bodziony J.
Archives of Mining Sciences
|
2002
|
Vol. 47, nr 2
289-306
2
Content available remote Działalność Komitetu Górnictwa PAN w 2000 roku
Bodziony J.
Archives of Mining Sciences
|
2001
|
Vol. 46, nr 2
209-221
3
On the orientation of discontinuities on rock sample sections
Bodziony J.
Bulletin of the Polish Academy of Sciences. Earth Sciences
|
2000
|
Vol. 48, nr 1
99-116
EN
The problem of the distribution of the length of the discontinuity traces visible on plane sections of rock samples is discussed. In terms of mathematics, the problem has been reduced to inhomogeneous Fredholm's integral equation of the 1st kind, in which the known function r(beta) is the distribution density of normalized total length of the projections of discontinuity traces on a straight line with the orientation beta belongs to [ -pi/2 , +pi/2 ]. The method of solving Fredholm's equation has been illustrated on an example.
4
Contribution to the steinhaus' method of assessment of the length of curves in linear stereological analysis
Bodziony J.
Bulletin of the Polish Academy of Sciences. Earth Sciences
|
2000
|
Vol. 48, nr 1
85-98
EN
The paper contains the development of Steinhaus' method of estimating the length of plane rectifiable curves. Steinhaus considered the most disadvantageous case when the curve is reduced to one segment projected on a finite number of straight lines of uniform orientation on a plane. He carried out detailed calculation of relative errors when the segment is projected on k = 6 straight lines. Generalization of Steinhaus' method consists in the assessment of errors in the determination of the length of a polygonal line composed of m segments projected on n straight lines of coupled directions. It has been found that projecting of m segments on n straight lines is equivalent - with respect to the assessment of errors - to the projection of one segment on k = nm straight lines. Both the extreme relative errors, with overestimation and underestimation, and the standard deviation, are asymptotically inversely proportional to the square of the product k = mn. In the paper it has been demonstrated that the assessment of the errors is independent of the configuration of the segments. They may be linked to form polygonal lines, but may also represent a set of separate segments.
5
Content available remote Działalność Komitetu Górnictwa PAN w 1999 roku
Bodziony J.
Archives of Mining Sciences
|
2000
|
Vol. 45, nr 2
303-311
6
Content available remote Działalność Komitetu Górnictwa PAN w 1998 roku
Bodziony J.
Archives of Mining Sciences
|
1999
|
Vol. 44, nr 2
277-289
7
Content available remote Działalność Komitetu Górnictwa PAN w 1997 roku.
Bodziony J.
Archives of Mining Sciences
|
1998
|
nr 2
337-348
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