class_docstr: DimensionSystem represents a coherent set of dimensions.
  
  The constructor takes three parameters:
  
  - base dimensions;
  - derived dimensions: these are defined in terms of the base dimensions
    (for example velocity is defined from the division of length by time);
  - dependency of dimensions: how the derived dimensions depend
    on the base dimensions.
  
  Optionally either the ``derived_dims`` or the ``dimensional_dependencies``
  may be omitted.
docstr: Check if the dimension object really has a dimension.
  
  A dimension should have at least one component with non-zero power.
docstr_tok: ["Check","if","the","dimension","object","really","has","a","dimension",".","A","dimension","should","have","at","least","one","component","with","non-zero","power","."]
code: def is_dimensionless(self, dimension):
      """
      Check if the dimension object really has a dimension.
  
      A dimension should have at least one component with non-zero power.
      """
      if dimension.name == 1:
          return True
      return self.get_dimensional_dependencies(dimension) == {}
  
imports: from __future__ import annotations
  import collections
  from functools import reduce
  from sympy.core.basic import Basic
  from sympy.core.containers import Dict, Tuple
  from sympy.core.singleton import S
  from sympy.core.sorting import default_sort_key
  from sympy.core.symbol import Symbol
  from sympy.core.sympify import sympify
  from sympy.matrices.dense import Matrix
  from sympy.functions.elementary.trigonometric import TrigonometricFunction
  from sympy.core.expr import Expr
  from sympy.core.power import Pow
label_desc: Use image node_id 9 for calling the DimensionSystem obj's underlying member method code with example usage: obj.is_dimensionless(dimension) and returns: unknown, True