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scratch4

v15	v16
39	39	[[latex($\Delta E_i= k E e^{-r_i/\sigma} ~~~~~~~(2)$)]]
40	40
41		where [[latex($\sigma$)]] is a scaling factor. In the code this scaling factor lets the exponential fall to zero at the boundary of the kernel, and a width that gives ... how to describe this. Now, to solve for the normalization constant, we insert (2) into (1):
	41	where [[latex($\sigma$)]] is a scaling factor. In the code this scaling factor covers 1 e-folding over the kernel. There is also an additional factor of e not shown here that lets the exponential fall to zero at the boundary of the kernel, and a width that gives ... how to describe this. Now, to solve for the normalization constant, we insert (2) into (1):
42	42
43	43	[[latex($\sum k E e^{-r_i/\sigma}dV_i=E$)]]