The definition of the Boltzmann distribution is given by quantities of a system's microstates which can be practically unbounded (temperature \( \htmlClass{sdt-0000000029}{T} \)) or arbitrarily defined (energy \( \htmlClass{sdt-0000000100}{E} \) with multiple possible offsets). This makes the sum over the probability mass function different from 1, so a normalization constant is necessary.
| \( S \) | This symbol represents all possible microstates of a multi-particle system. |
| \( T \) | This symbol represents the temperature in a system. |
| \( Z \) | This symbol represents a normalizing factor for a function. |
| \( \mathbf{s} \) | This symbol represents a full description of the system taken at molecular level. |
| \( E \) | This symbol represents the energy. |