Skip to content
Merged
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
4 changes: 2 additions & 2 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -35,12 +35,12 @@ is required for the problem of interest.
To compute the matrix $`A_{ij}`$, we use the reference coordinate
$`z`$ to write
```math
A_{ij} = \int^{1}_{-1} S_i(z) T_j(z) \rho(s z + c) d z,
A_{ij} = \int^{1}_{-1} S_i(z) T_j(z) \rho(s z + c) s d z,
```
where $`S_i(z)`$, $`T_i(z)`$ may be either of $`l_i(z)`$ or $`(1/s)d l_i(z)/d z`$.
We can also compute nonlinear matrices which have the form
```math
N_{ijk} = \int^{x_u}_{x_l} P_i(x) Q_j(x) R_k(x) \rho(x) d x = \int^{1}_{-1} S_i(z) T_j(z) U_k(z) \rho(s z + c) d z.
N_{ijk} = \int^{x_u}_{x_l} P_i(x) Q_j(x) R_k(x) \rho(x) d x = \int^{1}_{-1} S_i(z) T_j(z) U_k(z) \rho(s z + c) s d z.
```
where $`R_i(x)`$ may be either of $`\Phi(x)`$ or $`d\Phi/dx`$ and
$`U_i(z)`$ may be either of $`l_i(z)`$ or $`(1/s)d l_i(z)/d z`$.
Expand Down