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SimpleAlgebra

For complete documentation, see http://ianpostgreen.com/thorn/jdoc_v2/Test_Javadoc/index.html

Bibliography

Abstract Algebra

...http://en.wikipedia.org/wiki/Abstract_algebra

...https://www.librarything.com/work/51989

...http://en.wikipedia.org/wiki/Noncommutative_ring

...https://www.librarything.com/work/1591862/book/117973373

Burgers' Equation

...http://en.wikipedia.org/wiki/Burgers'_equation

Complex Numbers

...http://en.wikipedia.org/wiki/Complex_number

Connection Coefficient

...http://en.wikipedia.org/wiki/Levi-Civita_connection

Covariant Derivative

...http://en.wikipedia.org/wiki/Covariant_derivative

Derivative (Partial Derivative and Directional Derivative)

...https://www.librarything.com/work/172405/book/15458385

...http://en.wikipedia.org/wiki/Partial_derivative

...http://en.wikipedia.org/wiki/Directional_derivative

Design Patterns

...https://www.librarything.com/work/3985

Dirac Equation

...http://en.wikipedia.org/wiki/Dirac_equation

Differential Equation

...https://www.librarything.com/work/239050/book/15434451

Drools

...http://drools.org

...https://github.com/droolsjbpm/drools

...https://github.com/mvel/mvel

...https://github.com/mvel/mvel/blob/master/src/main/java/org/mvel2/optimizers/OptimizerFactory.java

...https://www.librarything.com/work/15954041/book/117973263

...https://github.com/google-code-export/iaml

...https://github.com/integrallis/drools-drl/blob/master/src/main/resources/rules/sample.drl

...https://access.redhat.com/solutions/38469

...https://weblogs.java.net/blog/2005/10/13/drools-performance-limits

...http://stackoverflow.com/questions/92985/using-drools-in-a-heavy-batch-process

...https://docs.jboss.org/drools/release/5.2.0.Final/drools-expert-docs/html/ch05.html

...http://blog.athico.com/2007/06/chained-from-accumulate-collect.html

...https://code.google.com/p/hypergraphdb/wiki/RefAtomCache

Einstein Summation Convention

...http://en.wikipedia.org/wiki/Einstein_notation

Einstein Tensor

...http://en.wikipedia.org/wiki/Einstein_tensor

Euler's Method

...http://en.wikipedia.org/wiki/Euler_method

...http://ir.nmu.org.ua/bitstream/handle/123456789/129664/3492b757a4472728fdde443855b0cd93.pdf?sequence=1

...http://www.geometrictools.com/Documentation/FiniteDifferences.pdf

Factory

...See Design Patterns

GA (Geometric Algebra)

...http://en.wikipedia.org/wiki/Geometric_algebra

...https://www.librarything.com/work/1030207

...http://www.librarything.com/work/4327404/book/117976057

...http://przyrbwn.icm.edu.pl/APP/PDF/116/a116z219.pdf

...Green, Thornton, "Research Issues of Geometry-Based Visual Languages and Some Solutions", Dissertation, Arizona State University, 1999.

Java

...http://en.wikipedia.org/wiki/Java_(programming_language)

...https://www.librarything.com/work/187039/book/15763004

Gauss's Theorem

...https://en.wikipedia.org/wiki/Divergence_theorem

General Relativity

...https://www.librarything.com/work/80799/book/117994174

...https://www.librarything.com/work/10385992/book/117994232

...http://en.wikipedia.org/wiki/General_relativity

...http://m.youtube.com/watch?v=hbmf0bB38h0

...http://physics.stackexchange.com/questions/33950/what-is-the-equation-of-the-gravitational-potential-in-general-relativity

Generics (Java)

...http://en.wikipedia.org/wiki/Generics_in_Java

Graph Databases

...https://www.librarything.com/work/13885843/book/119097476

HypergraphDB

...http://hypergraphdb.org/index

...http://hypergraphdb.org/learn?page=IntroStoreData&project=hypergraphdb

...http://hypergraphdb.org/learn?page=RefCustomTypes&project=hypergraphdb

Jacobian Matrix

...http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant

Java Grande

...http://www.javagrande.org/

JCF (Java Collections Framework)

...http://en.wikipedia.org/wiki/Java_collections_framework

JUnit

...http://junit.org

...https://github.com/junit-team/junit

...https://github.com/stefanbirkner/junit3

KdV Equation

...http://en.wikipedia.org/wiki/Korteweg%E2%80%93de_Vries_equation

Lorenz Gauge

...http://en.wikipedia.org/wiki/Lorenz_gauge_condition

Mandelbrot Set

...http://en.wikipedia.org/wiki/Mandelbrot_set

Material Derivative

...http://en.wikipedia.org/wiki/Material_derivative

Matrix Ring

...http://en.wikipedia.org/wiki/Matrix_ring

...https://www.librarything.com/work/70280/book/15485800

Newton-Raphson

...http://en.wikipedia.org/wiki/Newton's_method

...https://www.librarything.com/work/68845/book/15446558

Noncommutative Ring

...See Abstract Algebra

Numerical Relativity

...https://en.wikipedia.org/wiki/Numerical_relativity

...https://en.wikipedia.org/wiki/ADM_formalism

...http://www.sciencedirect.com/science/article/pii/S0377042799001697

...http://www.tddft.org/programs/octopus/wiki/images/6/63/Numerical_Relativity_Introduction_Hilditch.pdf

...http://www.ima.umn.edu/~arnold//papers/enumath.pdf

...http://jacobi.luc.edu/ADM.pdf

...https://books.google.com/books?id=C0_HROt5D8YC&pg=PA12&lpg=PA12&dq=adm+decomposition&source=bl&ots=f2_zDMWhul&sig=gam87QlnTWYPogSYChe0XTZDTv0&hl=en&sa=X&sqi=2&ved=0CEUQ6AEwBWoVChMI4OGU7frKxwIVjFOSCh0A9gQr#v=onepage&q=adm%20decomposition&f=false

Ricci Scalar

...http://en.wikipedia.org/wiki/Scalar_curvature

Ricci Tensor

...http://en.wikipedia.org/wiki/Ricci_curvature

Riemann Tensor

...http://en.wikipedia.org/wiki/Riemann_curvature_tensor

Ring Theory

...See Abstract Algebra

Schrodinger Equation

...http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation

...https://www.librarything.com/work/72710/book/15433893

...https://www.librarything.com/work/348060/book/15445833

Soliton

...http://en.wikipedia.org/wiki/Soliton

...https://www.librarything.com/work/1449383

Spacetime Algebra

...http://en.wikipedia.org/wiki/Spacetime_algebra

Symbolic Ring

...http://en.wikipedia.org/wiki/Computer_algebra_system

...https://www.librarything.com/work/1278764/book/117969064

...https://www.librarything.com/work/3568528

...https://www.librarything.com/work/45817

...http://infolab.stanford.edu/pub/cstr/reports/cs/tr/80/785/CS-TR-80-785.pdf

...http://www.researchgate.net/profile/Benjamin_Keller/publication/2693699_Algorithms_and_Orders_for_Finding_Noncommutative_Grbner_Bases/links/0912f50ab0f81d4678000000.pdf

User Interface (UI)

...Krishna, Golden, "The Best Interface Is No Interface", ISBN 978-0-133-89033-4

Vector Algebra

...See Geometric Algebra (superset of Vector Algebra)

Volume Rendering

...https://en.wikipedia.org/wiki/Volume_rendering

Voxel

...https://en.wikipedia.org/wiki/Voxel

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