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Fig. 7 | Earth, Planets and Space

Fig. 7

From: Mathematical review on source-type diagrams

Fig. 7

Synthetic catalog projected onto source-type diagrams. A synthetic catalog of 10,000 events, which covers a wide range of source types, is projected onto each source-type diagram. Moment tensor eigenvalues are produced using independent standard normal distributions. Diagram normalization is identical to that in Fig. 6. The horizontal and vertical ranges are −1 to 1, except for the cubic projection (a), for which the horizontal range is −4/3 to 4/3. a Cubic projection diagram \(\left( {\tilde{u}, \tilde{v}} \right)\). b Hexagonal bi-pyramid projection diagram \(\left( {\tilde{\tau }, \tilde{k}} \right)\). c Modified hexagonal bi-pyramid projection diagram \(\left( {\tilde{T}, \tilde{k}} \right)\). d Conjugate hexagonal bi-pyramid projection diagram \(\left( {\tilde{\eta }, \tilde{\xi }} \right)\). e Spherical equirectangular projection diagram \(\left( {\tilde{\gamma }, \tilde{\delta }} \right)\). f Spherical orthogonal projection diagram \(\left( {\tilde{R}, \tilde{\zeta }} \right)\). g Modified spherical orthogonal projection diagram \(\left( {\tilde{r}, \tilde{s}} \right)\). h Spherical azimuthal projection diagram \(\left( {\tilde{p}, \tilde{q}} \right)\). i Spherical cylindrical projection diagram \(\left( {\tilde{\gamma }, \tilde{\zeta }} \right)\). j Modified spherical cylindrical projection diagram \(\left( {\tilde{a}, \tilde{b}} \right)\). k Spherical cylindrical orthogonal projection diagram \(\left( {\tilde{\chi }, \tilde{\zeta }} \right)\). l Percentile diagram \(\left( {\tilde{\epsilon }, \tilde{v}} \right)\). m Modified percentile diagram \(\left( {\tilde{c}, \tilde{v}} \right)\)

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