formatting

Author: jacobwilliams

README.md

@@ -6,26 +6,27 @@ Adaptive Gaussian Quadrature with Modern Fortran
 ### Brief description
 
 An object-oriented modern Fortran library to integrate functions using adaptive Gaussian quadrature. There are five selectable methods to use:
-* Adaptive 6-point Legendre-Gauss
-* Adaptive 8-point Legendre-Gauss
-* Adaptive 10-point Legendre-Gauss
-* Adaptive 12-point Legendre-Gauss
-* Adaptive 14-point Legendre-Gauss
+
+ * Adaptive 6-point Legendre-Gauss
+ * Adaptive 8-point Legendre-Gauss
+ * Adaptive 10-point Legendre-Gauss
+ * Adaptive 12-point Legendre-Gauss
+ * Adaptive 14-point Legendre-Gauss
 
 The library supports:
 
-* 1D integration:
-  $$ \int_{x_l}^{x_u} f(x) dx $$
-* 2D integration:
-  $$\int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x,y) dx dy$$
-* 3D integration:
-  $$\int_{z_l}^{z_u} \int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x,y,z) dx dy dz$$
-* 4D integration:
-  $$\int_{q_l}^{q_u} \int_{z_l}^{z_u} \int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x,y,z,q) dx dy dz dq$$
-* 5D integration:
-  $$\int_{r_l}^{r_u} \int_{q_l}^{q_u} \int_{z_l}^{z_u} \int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x,y,z,q,r) dx dy dz dq dr$$
-* 6D integration:
-  $$\int_{s_l}^{s_u} \int_{r_l}^{r_u} \int_{q_l}^{q_u} \int_{z_l}^{z_u} \int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x,y,z,q,r,s) dx dy dz dq dr ds$$
+ * 1D integration:
+   $$ \int_{x_l}^{x_u} f(x) dx $$
+ * 2D integration:
+   $$\int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x,y) dx  dy$$
+ * 3D integration:
+   $$\int_{z_l}^{z_u} \int_{y_l}^{y_u} \int_{x_l} ^{x_u} f(x,y,z) dx dy dz$$
+ * 4D integration:
+   $$\int_{q_l}^{q_u} \int_{z_l}^{z_u} \int_{y_l} ^{y_u} \int_{x_l}^{x_u} f(x,y,z,q) dx dy dz  dq$$
+ * 5D integration:
+   $$\int_{r_l}^{r_u} \int_{q_l}^{q_u} \int_{z_l} ^{z_u} \int_{y_l}^{y_u} \int_{x_l}^{x_u} f(x, y,z,q,r) dx dy dz dq dr$$
+ * 6D integration:
+   $$\int_{s_l}^{s_u} \int_{r_l}^{r_u} \int_{q_l} ^{q_u} \int_{z_l}^{z_u} \int_{y_l}^{y_u} \int_ {x_l}^{x_u} f(x,y,z,q,r,s) dx dy dz dq dr ds$$
 
 The core code is based on the SLATEC routine [DGAUS8](http://www.netlib.org/slatec/src/dgaus8.f) (which is the source of the 8-point routine). Coefficients for the others were obtained from [here](http://processingjs.nihongoresources.com/bezierinfo/legendre-gauss-values.php). The original 1D code has been generalized for multi-dimensional integration.