Changeset ca04add in sasmodels for sasmodels/models/spherical_sld.py

Timestamp:

Sep 13, 2017 7:29:11 AM (7 years ago)

Author:

lewis

Branches:

master, core_shell_microgels, costrafo411, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests

Children:

dd4f5ed

Parents:

2ba5ba5

Message:

Modify model docs to render correctly on marketplace

File:

• sasmodels/models/spherical_sld.py (modified) (4 diffs)

sasmodels/models/spherical_sld.py

@@ -51 +51 @@
     3 \rho_\text{core} V(r_\text{core})
     \Big[ \frac{\sin(qr_\text{core}) - qr_\text{core} \cos(qr_\text{core})}
-    {qr_\text{core}^3} \Big]
-
+    {qr_\text{core}^3} \Big] \\
     f_{\text{inter}_i} &= 4 \pi \int_{\Delta t_{ \text{inter}_i } }
-    \rho_{ \text{inter}_i } \frac{\sin(qr)} {qr} r^2 dr
-
+    \rho_{ \text{inter}_i } \frac{\sin(qr)} {qr} r^2 dr \\
     f_{\text{shell}_i} &= 4 \pi \int_{\Delta t_{ \text{inter}_i } }
     \rho_{ \text{flat}_i } \frac{\sin(qr)} {qr} r^2 dr =
@@ -66 +64 @@
     -3 \rho_{ \text{flat}_i } V(r_{ \text{inter}_i })
     \Big[ \frac{\sin(qr_{\text{inter}_i}) - qr_{\text{flat}_i}
-    \cos(qr_{\text{inter}_i}) } {qr_{\text{inter}_i}^3} \Big]
-
+    \cos(qr_{\text{inter}_i}) } {qr_{\text{inter}_i}^3} \Big] \\
     f_\text{solvent} &= 4 \pi \int_{r_N}^{\infty} \rho_\text{solvent}
     \frac{\sin(qr)} {qr} r^2 dr =
@@ -122 +119 @@
     4 \pi \sum_{j=1}^{n_\text{steps}}
     \int_{r_j}^{r_{j+1}} \rho_{ \text{inter}_i } (r_j)
-    \frac{\sin(qr)} {qr} r^2 dr
-
-    &\approx 4 \pi \sum_{j=1}^{n_\text{steps}} \Big[
+    \frac{\sin(qr)} {qr} r^2 dr \\
+    \approx 4 \pi \sum_{j=1}^{n_\text{steps}} \Big[
     3 ( \rho_{ \text{inter}_i } ( r_{j+1} ) - \rho_{ \text{inter}_i }
     ( r_{j} ) V (r_j)
     \Big[ \frac {r_j^2 \beta_\text{out}^2 \sin(\beta_\text{out})
     - (\beta_\text{out}^2-2) \cos(\beta_\text{out}) }
-    {\beta_\text{out}^4 } \Big]
-
-    &{} - 3 ( \rho_{ \text{inter}_i } ( r_{j+1} ) - \rho_{ \text{inter}_i }
+    {\beta_\text{out}^4 } \Big] \\
+    {} - 3 ( \rho_{ \text{inter}_i } ( r_{j+1} ) - \rho_{ \text{inter}_i }
     ( r_{j} ) V ( r_{j-1} )
     \Big[ \frac {r_{j-1}^2 \sin(\beta_\text{in})
     - (\beta_\text{in}^2-2) \cos(\beta_\text{in}) }
-    {\beta_\text{in}^4 } \Big]
-
-    &{} + 3 \rho_{ \text{inter}_i } ( r_{j+1} )  V ( r_j )
+    {\beta_\text{in}^4 } \Big] \\
+    {} + 3 \rho_{ \text{inter}_i } ( r_{j+1} )  V ( r_j )
     \Big[ \frac {\sin(\beta_\text{out}) - \cos(\beta_\text{out}) }
     {\beta_\text{out}^4 } \Big]
@@ -152 +146 @@
     \begin{align*}
     V(a) &= \frac {4\pi}{3}a^3 && \\
-    a_\text{in} &\sim \frac{r_j}{r_{j+1} -r_j} \text{, } &a_\text{out}
-    &\sim \frac{r_{j+1}}{r_{j+1} -r_j} \\
-    \beta_\text{in} &= qr_j \text{, } &\beta_\text{out} &= qr_{j+1}
+    a_\text{in} \sim \frac{r_j}{r_{j+1} -r_j} \text{, } & a_\text{out}
+    \sim \frac{r_{j+1}}{r_{j+1} -r_j} \\
+    \beta_\text{in} &= qr_j \text{, } & \beta_\text{out} &= qr_{j+1}
     \end{align*}