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\( S \)

Short Description

This symbol represents all possible microstates of a multi-particle system.

Medium Description

This symbol represents all possible microstates of a multi-particle system. Any observed state \( \htmlClass{sdt-0000000091}{\mathbf{s}} \in S \) is a complete characterization of the system.

Long Description

The symbol \( S \) represents the set of all possible microstates of a multi-particle system, where any element \( \htmlClass{sdt-0000000091}{\mathbf{s}} \in S \) completely characterizes the system (e.g. \( S = \htmlClass{sdt-0000000045}{\mathbb{R}}^{6n} \) if studying a system of \( n \) particles for which 3-positions and 3-velocities are recorded).

References

  1. Jaeger, H. (n.d.). Neural Networks (AI) (WBAI028-05) Lecture Notes BSc program in Artificial Intelligence. Retrieved June 9, 2024, from https://www.ai.rug.nl/minds/uploads/LN_NN_RUG.pdf