Joel2: Created page with "FORCETOC =Riemann Algorithms= These are algorithms that I have stored under the directory, …/numRecipes/EllipticIntegrals/Riemann ==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 …

'''TEST (part 1)''', which is in the context of our..."

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Created page with "__FORCETOC__   =Riemann Algorithms= These are algorithms that I have stored under the directory, …/numRecipes/EllipticIntegrals/Riemann ==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 … <ul> <li>'''TEST (part 1)''', which is in the context of our..."

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=Riemann Algorithms=

These are algorithms that I have stored under the directory, …/numRecipes/EllipticIntegrals/Riemann

==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 …
<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>

<div align="center">
'''Example Output File'''
</div>

<div style="width: 100%;">
<pre>

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

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

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

*************
</pre>
</div>

==Riemann01 (21 August 2019)==

Evaluate terms associated with construction of various Riemann S-type Ellipsoids, especially for [[ThreeDimensionalConfigurations/RiemannStype#Our_Parameter_Determinations|comparison with work by Ou (2006)]]. Enter two axis-ratio values: bovera covera (separated by space).

=See Also=

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Appendix/ComputerAlgorithms/Riemann - Revision history