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.../code> and <code>((4*3)*2)*1</code>. [[w:Computer algebra systems|Computer algebra systems]] (CAS) such as [[w:SymPy|SymPy]] cannot be used to deal with this == Algebra == ...

'''Algebra''' is an ancient form of mathematical analytical methodology and is one of ...ractical problems in areas like [[geometry]] and [[astronomy]]. Over time, algebra has evolved and expanded, becoming a powerful tool for solving complex equa ...

..., correlation techniques, and less frequently: [[../PAdicMeasure/|abstract algebra]], [[../TrivialGroupoid/|group]] theory, [[../QuantumOperatorAlgebra5/|grou ...

...lent of the "multiply by a constant and subtract" method that is taught in algebra classes. [[Category:linear algebra]] ...

.../math> that operate on the basis of a \L{}ukasiewicz-Moisil n-valued logic algebra <math>LM_n</math>. Then, the category of genetic networks, ...ame='ICB77,ICBetal2k6'/>. There are several published, extensive [[../AAT/|computer simulations]] of Boolean two-state models of both genetic and neuronal netw ...

...ity theory, ergodic theory and geometry, as well as to applied subjects in computer science and statistical physics. Aspects of combinatorics include "counting #[[Combinatorics/Structural Algebra]] (truly a stub) ...

...A ''quantum [[../QuantumComputers/|nano-automaton]]'' or ''(quantum nano-computer)'' ...s previously defined in [[../HigherDimensionalAlgebra2/|higher dimensional algebra]]). ...

...rophysics, astronomy, [[../SupercomputerArchitercture/|computer]] science, computer engineering, robotics, AI, ecology, market prediction, etc. #Quantum Operator Algebra (QOA) in [[../SpaceTimeQuantizationInQuantumGravityTheories/|quantum field ...

#Axioms of homological algebra .../|supercategories]] and [[../HigherDimensionalAlgebra2/|higher dimensional algebra]] #Axioms for [[../AbelianCategory3/|non-Abelian]] structures and theories ...

===Lie Algebra of a Quantum Harmonic Oscillator=== ...that act as [[../Generator/|generators]] of a [[../TopologicalOrder2/|Lie Algebra]] for this ...

...gy3/|non-Abelian]] extensions in [[../InfinityGroupoid/|higher dimensional algebra]] ([[../2Groupoid2/|HDA]]) and [[../SuperCategory6/|supercategories]]. ...eory, as well as non-Abelian extensions of AT and CT in higher dimensional algebra and supercategories. ...

...y of describing many problems in physics and other areas<ref>[[w:Geometric algebra]], Accessed on 27th August 2006.</ref>. ...atics. The primary goal of this learning project is to introduce Geometric Algebra in an accessible and fun way for people with a high school background in Ma ...

...oduced as structures in [[../HigherDimensionalAlgebra2/|higher dimensional algebra]] that are mathematical interpretations of the axioms in ETAS- a natural ex dimensional algebra applications to [[../SystemsBiology/|complex systems biology]] (<ref name=' ...

==Conditionals which have traveled from algebra to geometry== :Also note that you can use other properties from algebra, for example ...

...ogy|Biology]] · [[School:Chemistry|Chemistry]] · [[School:Computer Science|Computer Science]] ·[[School:Economics|Economics]] · [[School:Mathematics|Mathematic *** '''[[w:Quantum computer|Quantum computing]]''' ...

...ral binary operations that continue these patterns are studied in abstract algebra. ...cult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues ...

I.C. Baianu: 1987a, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.), Their Higher Dimensional Algebra, ...

...Category3/|non-Abelian]] extensions in [[../2Groupoid2/|higher dimensional algebra]] and [[../SuperCategory6/|supercategories]] in [[../Bijective/|relation]] #Quantum von Neumann algebra and subfactors ...

'''a.''' ''Universal (or general) algebra'' : is defined as ''the (meta) mathematical study of \htmladdnormallink{ge #Boolean algebra ...

...n-Categories, in ''Category Theory and Computer Science, Lecture Notes in Computer Science'' , 1290, Berlin: Springer-Verlag, 1--33. ...\& Dolan, J., 1998a, Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes, ...