Update docs

.readthedocs.yml

@@ -3,17 +3,11 @@ version: 2
 sphinx:
   configuration: docs/conf.py
 
-formats:
-  - pdf
-
-submodules:
-  include: all
-
 conda:
   environment: environment.yml
 
 python:
-  version: 3.8
+  version: 3.7
   install:
     - method: pip
       path: .

docs/examples/triple_collocation.ipynb

@@ -93,19 +93,23 @@
     "\n",
     "Estimation of the error variances from the covariances of the datasets (e.g. $\\sigma_{XY}$ for the covariance between $x$ and $y$) is done using the following formula:\n",
     "\n",
-    "$\\sigma_{\\varepsilon_x}^2 = \\sigma_{X}^2 - \\frac{\\sigma_{XY}\\sigma_{XZ}}{\\sigma_{YZ}}\\\\\n",
-    "\\sigma_{\\varepsilon_y}^2 = \\sigma_{Y}^2 - \\frac{\\sigma_{YX}\\sigma_{YZ}}{\\sigma_{XZ}}\\\\\n",
-    "\\sigma_{\\varepsilon_z}^2 = \\sigma_{Z}^2 - \\frac{\\sigma_{ZY}\\sigma_{ZX}}{\\sigma_{YX}}$\n",
+    "$\\sigma_{\\varepsilon_x}^2 = \\sigma_{X}^2 - \\frac{\\sigma_{XY}\\sigma_{XZ}}{\\sigma_{YZ}}$\n",
+    "\n",
+    "$\\sigma_{\\varepsilon_y}^2 = \\sigma_{Y}^2 - \\frac{\\sigma_{YX}\\sigma_{YZ}}{\\sigma_{XZ}}$\n",
+    "\n",
+    "$\\sigma_{\\varepsilon_z}^2 = \\sigma_{Z}^2 - \\frac{\\sigma_{ZY}\\sigma_{ZX}}{\\sigma_{YX}}$\n",
     "\n",
     "$\\beta$ can also be estimated from the covariances:\n",
     "\n",
     "$\\beta_x = 1 \\quad \\quad \\quad \\beta_y = \\frac{\\sigma_{XZ}}{\\sigma_{YZ}} \\quad \\quad \\quad \\beta_z=\\frac{\\sigma_{XY}}{\\sigma_{ZY}}$\n",
     "\n",
     "The signal to noise ratio (SNR) is also calculated from the variances and covariances:\n",
     "\n",
-    "$\\text{SNR}_X[dB] = -10\\log\\left(\\frac{\\sigma_{X}^2\\sigma_{YZ}}{\\sigma_{XY}\\sigma_{XZ}}-1\\right)\\\\\n",
-    "\\text{SNR}_Y[dB] = -10\\log\\left(\\frac{\\sigma_{Y}^2\\sigma_{XZ}}{\\sigma_{YX}\\sigma_{YZ}}-1\\right)\\\\\n",
-    "\\text{SNR}_Z[dB] = -10\\log\\left(\\frac{\\sigma_{Z}^2\\sigma_{XY}}{\\sigma_{ZX}\\sigma_{ZY}}-1\\right)$\n",
+    "$\\text{SNR}_X[dB] = -10\\log\\left(\\frac{\\sigma_{X}^2\\sigma_{YZ}}{\\sigma_{XY}\\sigma_{XZ}}-1\\right)$\n",
+    "\n",
+    "$\\text{SNR}_Y[dB] = -10\\log\\left(\\frac{\\sigma_{Y}^2\\sigma_{XZ}}{\\sigma_{YX}\\sigma_{YZ}}-1\\right)$\n",
+    "\n",
+    "$\\text{SNR}_Z[dB] = -10\\log\\left(\\frac{\\sigma_{Z}^2\\sigma_{XY}}{\\sigma_{ZX}\\sigma_{ZY}}-1\\right)$\n",
     "\n",
     "It is given in dB to make it symmetric around zero. If the value is zero it means that the signal variance and the noise variance are equal. +3dB means that the signal variance is twice as high as the noise variance.\n",
     "\n",