Reword instructions

ObedDzik · Jun 5, 2024 · aefc647 · aefc647
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commit aefc647
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diff --git a/inverse_tomography.ipynb b/inverse_tomography.ipynb
@@ -72,14 +72,12 @@
         "# Preliminaries\n",
         "\n",
         "In this notebook we will work through the solution of inverse problems using machine learning techniques.\n",
-        "The goal is rather introductory, more complex networks and tweaking of code can lead to much better results that we present here. \n",
         "\n",
         "We assume to have a forward problem of the form\n",
         "$$ A u + \\epsilon = d $$\n",
         "where $A$ is the forward operator, $u$ is the model, $\\epsilon \\sim N(0, \\sigma^2 I)$ is the noise and $d$ is the observed data.\n",
         "The goal is to recover $u$ from the noisy data $d$.\n",
         "\n",
-        "Throughout this tutorial we use simple yet powerful examples.\n",
         "The first example is the borehole tomography where the each datum is\n",
         "$$ d_i = \\int_{{\\rm ray}_i} u(x,z) d\\ell  = \\int_{\\Omega} u(x,z)\\, \\delta(x-x(p_i),z-z(p_i)) dx\\, dz$$\n",
         "Here, $p_i$ is the ray path and $\\delta$ is the Dirac delta function.\n",