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Fix typos in doc and errors in the demo code.
Change-Id: I237402958ed8747ae438643132fcab90113ac27d
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@@ -45,7 +45,7 @@ Notice that compared to numeric differentiation, the only difference
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when defining the functor for use with automatic differentiation is
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the signature of the ``operator()``.
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In the case of numeric differentition it was
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In the case of numeric differentiation it was
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.. code-block:: c++
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@@ -152,7 +152,7 @@ The summation notation gets tedious, so we will also just write
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.. math::
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x = a + \mathbf{v}.
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where the :math:`\epsilon_i`'s are implict. Then, using the same
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where the :math:`\epsilon_i`'s are implicit. Then, using the same
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Taylor series expansion used above, we can see that:
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.. math::
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