code: def pareto_dominates(u, v, tolerance=None):
      """Returns true if u >= v elementwise, and at least
      one of the elements is not an equality.
      """
      u = np.asarray(u, dtype=np.float32)
      v = np.asarray(v, dtype=np.float32)
      if tolerance is None:
          return np.all(u >= v) and not np.all(u == v)
      else:
          return (
              np.all(u >= v) and not np.linalg.norm(u - v) <= tolerance
          )
  
imports: from __future__ import print_function
  from __future__ import division
  import numpy
  from scipy.sparse import dok_matrix
  from scipy.linalg import solve_triangular
label_desc: Use image node_id 9 for calling a global function with example usage: pareto_dominates(u, v, tolerance) and returns: unknown, unknown