Module 1

To begin, import SimPEG into ipython notebook as follows:


In [1]:
from SimPEG import *
from IPython.html.widgets import interactive


Efficiency Warning: Interpolation will be slow, use setup.py!

            python setup.py build_ext --inplace
    


Module summary:
(1) Start with an expression that relates a kernel function with the continuous distribution of a physical property.
(2) Discretize this expression.
(3) Define a mesh that organizes the data.
(4) Build up the matrix equation $d = G_c diag(\Delta x) m$.

Step 1: Physical property distribution and the kernel function.
1.1 define kernel function (...add description)
1.2 define the model. (...add description)

Each datum can be expressed as the inner product of the kernel function and the model:

\begin{equation}d_j = \int_a^b g(x) m(x) dx \end{equation}


Step 2: Discretize the function for each datum.

\begin{equation} \end{equation}

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