The the vector components (l,m,n) of a line with plunge (P) and trend (T) are given by:
The three components are called direction cosines because each is the cosine of the angle between the line and an axis.Planes as vectors: plane normalsTo do the same kinds of things with planes, we use the normal or pole to the plane. |
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Point plot vs Contour plot |
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Contour plot: 1% circle method | |||||
Contour plot: Starkey method |
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Contour plot: Gaussian method, single point |
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Gaussian plot |
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Vector sum |
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Resultant R = |R| |
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Vector mean |
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Mean resultant r = R/n |
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Critical Values for the Rayleigh test of uniformity
Cone of Confidence on the mean direction |
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38 fold hinges from Stellarton NS |
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Direction cosine matrix |
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The direction cosine matrix yields 3 eigenvectors. (Analogous to strain axes for a non-rotational deformation matrix.)Associated with each is an eigenvalueE1 = 0.46 E2 = 7.11 E3 = 29.42The relative sizes of the eigenvalues indicate the strength of clustering about each eigenvector |
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The modified Flynn plot indicates the relative magnitudes of the 3 eigenvectors |
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