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Algebra Library
A free algebra library that contains the necessary components to encode an equation.
It also includes a way to print the equation or turn it into a directed acyclic graph (DAG)
Classes Included
 Constant
 Variable
 Function
 FuncTerm
 Equation
To clean up type annotations, I defined a Term
to mean any of the above.
A FuncTerm is an instantiation of a function with terms as its arguments.
An equation takes two terms and sets them equal to each other.
Directed Acyclic Graph (DAG)
A DAG can be created from a term. What it generates resembles a tree. The "top" will be a function (for a nontrivial term) and each function points to its arguments. The "leaves" would be a constant or a variable.
For example, take the term f(g(x, a), g(x, a))
The function f
has two arguments, both of which is g(x,a)
. Therefore, f
points to g
. Since both the arguments are g(x,a)
, we just have one node g
that points to x
and a
.
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