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However, I noticed the result was radially symmetric, and I ended up turning to just calculating a 1D function based on the radius, and then performing the above stated computations on these.
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Noticing the result of Step 2, we have (|x_{t} - UQ_{C}x_{t}| = t |eta f(x_{t})- TUQ_{C}x_{t}| rightarrow0), as (t rightarrow 0).
Noticing the result of Step 2, we have (|x_{t} - Ux_{t}| = t |eta f(x_{t})- TUx_{t}| rightarrow 0), as (t rightarrow 0).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com