Generally speaking, as the number of compartments increase, it is challenging both to find the algebraic and numerical solutions of the model.

There are generally four solutions for each family, yielding eight possible solutions, consistent with the algebraic solution.

It is also commonly used in mathematics in algebraic solutions representing quantities such as angles.

This work describes Bring's contribution to the algebraic solution of equations.

The compressions of the surfaces are interacting in a way that makes a deterministic algebraic solution difficult to find.

If the matrix has full rank, the algebraic solution of the system may be found via the Least squares method:

His goal was to establish the impossibility of an algebraic solution to a general algebraic equation of degree greater than four.

Another key event in the further development of algebra was the general algebraic solution of the cubic and quartic equations, developed in the mid-16th century.

There exist more complicated algebraic solutions for the general cubic equation and quartic equation.

For example, a classical question was for the hypergeometric equation: when does it have a pair of algebraic solutions, in terms of its parameters?