<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def with_dimensions(self, *dimensions):
 """Declare dimensions for this Measurement, returns self for chaining."""

    self.dimensions = tuple(
        self._maybe_make_dimension(dim) for dim in dimensions)
    self._cached = None
    return self