Editing Appendix/ComputerAlgorithms/Riemann (section)

==Riemann02 (12 June 2020)==
Basically the same as "Riemann01," but with the output formatted more clearly.  The example output file shown immediately below refers to &hellip;
<ul>
<li>'''TEST (part 1)''', which is in the context of our [[ThreeDimensionalConfigurations/RiemannStype#General_Coefficient_Expressions|discussion of ''General Coefficient Expressions'']].</li>
<li>'''TEST (part 2)''', which is in the context of the evaluation of several [[ThreeDimensionalConfigurations/RiemannStype#Based_on_Virial_Equilibrium|''Virial-Equilibrium-based'' expressions]].</li>
<li>'''Table 2''', which contains [[ThreeDimensionalConfigurations/RiemannStype#Our_Parameter_Determinations|''Other Parameter Determinations'']].</li>
</ul>

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'''Example Output File'''
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<pre>

Riemann S-type Ellipsoid having: (b/a,c/a) = (9.000000000000D-01,6.410000000000D-01)

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TEST (part 1):

 Elliptic Integrals of the 1st and 2nd kinds:

          phi(deg)             (rad)           asin(k) (deg)          (rad)                 F(phi,k)            E(phi,k)
     5.013357254094D+01  8.749959066267D-01  3.253852919374D+01  5.679044681871D-01  9.090259485521D-01  8.431180475729D-01

            A1                  A2                  A3      
     5.214502732782D-01  5.951310119083D-01  8.834187148135D-01

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TEST (part 2):

           a2A12                B12                alpha               beta 
     3.877933612108D-01  2.073376506975D-01  2.472452000855D-01  3.797483470425D+00

             f                 omega                 f_Ad              omega_Ad
    -2.680088866444D-01  1.131374738327D+00 -1.509117086331D+01 -1.507716218767D-01

*************
Table 2:


  Direct (omega,lambda,zeta,f):        1.131374738327      0.150771621841     -0.303218483925     -0.268008886644

  Adjoint (omega,lambda,zeta,f):      -0.150771621877     -1.131374730590      2.275320291519    -15.091170863305

*************
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