Task: Text Categorization
Input (English): Ordinary numerical integration causes systems of this type to deviate, so symplectic methods are often used instead. Systems of this type obey Liouville's Theorem, and their dynamics can be described by taking derivatives of a single function on phase space. Their evolutions are determined by the functions of the same name that express their energy in terms of momentum and positional coordinates. FTP, what are these dynamical systems named for the developer of quaternions
Output (English): Science