Skip to content

Commit

Permalink
Docs: rewrite the equation for R
Browse files Browse the repository at this point in the history
  • Loading branch information
claudiodsf committed Sep 6, 2023
1 parent ff1a3cd commit 279f4c3
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions docs/theoretical_background.rst
Original file line number Diff line number Diff line change
Expand Up @@ -366,12 +366,12 @@ true radiated energy, defined as:
R = \frac{2}{\pi}
\left[
\frac{-f_{max}/f^{p|s}_c}{1+(f_{max}/f^{p|s}_c)^2} +
\arctan(f_{max}/f^{p|s}_c)
\arctan(f_{max}/f^{p|s}_c) -
\frac{f_{max}/f^{p|s}_c}{1+(f_{max}/f^{p|s}_c)^2}
\right]
where :math:`f^{p|s}_c` is the P- or S-wave corner frequency and
:math:`f_{max}` is the maximum frequency used to compute the energy integral.
where :math:`f_{max}` is the maximum frequency used to compute the energy
integral and :math:`f^{p|s}_c` is the P- or S-wave corner frequency.

The values of R range between 0 (for :math:`f_{max}/f^{p|s}_c \to 0`) and 1
(for :math:`f_{max}/f^{p|s}_c \to \infty`).
Expand Down

0 comments on commit 279f4c3

Please sign in to comment.