Changes between Version 4 and Version 5 of u/johannjc/scratchpad13


Ignore:
Timestamp:
03/11/16 14:08:43 (9 years ago)
Author:
Jonathan
Comment:

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  • u/johannjc/scratchpad13

    v4 v5  
    1 $\psi - \log \psi - 1 = 4 \left ( \Xi^{-1} - \log {\Xi^{-1}} - 1 \right ) $
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    3 
    4 When $\Xi^{-1} >> 1 $ we have
    5 
    6 $ -\log \psi = 4\Xi^{-1}$ or $\psi = e^{-4/\Xi}$
    7 
    8 When $\Xi^{-1} << 1$ we have
    9 
    10 $\psi = -4 \log \Xi^{-1} = 4 \log \Xi$
    11 
    12 When $\Xi \sim 1$ we have
    13 
    14 $\psi - (\psi - 1) + (\psi-1)^2/2 - 1 = 4(\Xi^{-1} - (\Xi^{-1}-1)+ (\Xi^{-1}-1)^2/2 - 1)$
    15 
    16 $(\psi-1)^2/2 = 2 (\Xi^{-1}-1)^2$
    17 
    18 $\psi= 1 + 2 (\Xi^{-1}-1)$
    19 
    201
    212== Vis-visa equation ==