From 9347e79287711459d13964b9fe77a92d3685ff9d Mon Sep 17 00:00:00 2001
From: Dario Coscia <93731561+dario-coscia@users.noreply.github.com>
Date: Tue, 3 Jan 2023 10:22:24 +0100
Subject: [PATCH] Tutorial3 and 1 fix (#67)

---
 docs/source/_rst/tutorial1/tutorial.rst | 11 +++++------
 docs/source/_rst/tutorial3/tutorial.rst |  2 +-
 tutorials/tutorial3/tutorial.ipynb      |  2 +-
 tutorials/tutorial3/tutorial.py         |  2 +-
 4 files changed, 8 insertions(+), 9 deletions(-)

diff --git a/docs/source/_rst/tutorial1/tutorial.rst b/docs/source/_rst/tutorial1/tutorial.rst
index e9b1b77..da98aca 100644
--- a/docs/source/_rst/tutorial1/tutorial.rst
+++ b/docs/source/_rst/tutorial1/tutorial.rst
@@ -82,12 +82,11 @@ time domain where we want the solution.
 Summarizing, in PINA we can initialize a problem with a class which is
 inherited from three base classes: ``SpatialProblem``,
 ``TimeDependentProblem``, ``ParametricProblem``, depending on the type
-of problem we are considering. For reference: \* ``SpatialProblem``
-:math:`\rightarrow` spatial variable(s) presented in the differential
-equation \* ``TimeDependentProblem`` :math:`\rightarrow` time
-variable(s) presented in the differential equation \*
-``ParametricProblem`` :math:`\rightarrow` parameter(s) presented in the
-differential equation
+of problem we are considering. For reference:
+
+* ``SpatialProblem`` :math:`\rightarrow` spatial variable(s) presented in the differential equation 
+* ``TimeDependentProblem`` :math:`\rightarrow` time variable(s) presented in the differential equation 
+* ``ParametricProblem`` :math:`\rightarrow` parameter(s) presented in the differential equation
 
 Write the problem class
 ~~~~~~~~~~~~~~~~~~~~~~~
diff --git a/docs/source/_rst/tutorial3/tutorial.rst b/docs/source/_rst/tutorial3/tutorial.rst
index f76346a..a6da1dc 100644
--- a/docs/source/_rst/tutorial3/tutorial.rst
+++ b/docs/source/_rst/tutorial3/tutorial.rst
@@ -13,7 +13,7 @@ The problem is written in the following form:
 :raw-latex:`\begin{equation}
 \begin{cases}
 \Delta u(x,y,t) = \frac{\partial^2}{\partial t^2} u(x,y,t) \quad \text{in } D, \\\\
-u(x, y, t=0) = \sin(\pi x)\sin(\pi y)\cos(\sqrt{2}\pi), \\\\
+u(x, y, t=0) = \sin(\pi x)\sin(\pi y), \\\\
 u(x, y, t) = 0 \quad \text{on } \Gamma_1 \cup \Gamma_2 \cup \Gamma_3 \cup \Gamma_4,
 \end{cases}
 \end{equation}`
diff --git a/tutorials/tutorial3/tutorial.ipynb b/tutorials/tutorial3/tutorial.ipynb
index 06a7d5e..6e9a0fb 100644
--- a/tutorials/tutorial3/tutorial.ipynb
+++ b/tutorials/tutorial3/tutorial.ipynb
@@ -24,7 +24,7 @@
     "\\begin{equation}\n",
     "\\begin{cases}\n",
     "\\Delta u(x,y,t) = \\frac{\\partial^2}{\\partial t^2} u(x,y,t) \\quad \\text{in } D, \\\\\\\\\n",
-    "u(x, y, t=0) = \\sin(\\pi x)\\sin(\\pi y)\\cos(\\sqrt{2}\\pi), \\\\\\\\\n",
+    "u(x, y, t=0) = \\sin(\\pi x)\\sin(\\pi y), \\\\\\\\\n",
     "u(x, y, t) = 0 \\quad \\text{on } \\Gamma_1 \\cup \\Gamma_2 \\cup \\Gamma_3 \\cup \\Gamma_4,\n",
     "\\end{cases}\n",
     "\\end{equation}\n",
diff --git a/tutorials/tutorial3/tutorial.py b/tutorials/tutorial3/tutorial.py
index 75ea325..1696a00 100644
--- a/tutorials/tutorial3/tutorial.py
+++ b/tutorials/tutorial3/tutorial.py
@@ -12,7 +12,7 @@
 # \begin{equation}
 # \begin{cases}
 # \Delta u(x,y,t) = \frac{\partial^2}{\partial t^2} u(x,y,t) \quad \text{in } D, \\\\
-# u(x, y, t=0) = \sin(\pi x)\sin(\pi y)\cos(\sqrt{2}\pi), \\\\
+# u(x, y, t=0) = \sin(\pi x)\sin(\pi y), \\\\
 # u(x, y, t) = 0 \quad \text{on } \Gamma_1 \cup \Gamma_2 \cup \Gamma_3 \cup \Gamma_4,
 # \end{cases}
 # \end{equation}