Changes between Version 26 and Version 27 of u/erica/scratch


Ignore:
Timestamp:
02/08/16 12:46:06 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/scratch

    v26 v27  
    33[[latex($\Sigma ~dE_{acc} = E_{acc}$)]]
    44
    5 In other words, the exponential function is ''normalized''.
     5The differential dE's are given by multiplying E_acc by a decaying exponential function at each cell surrounding the sink in the kernel.
    66
    7 We also want the exponential function to go to zero at the boundary of the kernel.
    8 
    9 So given these 2 constraints, we have the following equation,
     7In addition to being normalized (i.e. satisfying the first equation), this exponential function needs to go to zero at the boundary of the kernel. Thus, we have the following equation,
    108
    119[[latex($E_{acc} = \sum_{i=0}^{N} k(~e^{-dx*i} - e^{-Ndx} )~E_{acc}  $)]]