code: def _is_indefinite(M):
      if M.is_hermitian:
          eigen = M.eigenvals()
          args1 = [x.is_positive for x in eigen.keys()]
          any_positive = fuzzy_or(args1)
          args2 = [x.is_negative for x in eigen.keys()]
          any_negative = fuzzy_or(args2)
  
          return fuzzy_and([any_positive, any_negative])
  
      elif M.is_square:
          return (M + M.H).is_indefinite
  
      return False
  
imports: from types import FunctionType
  from collections import Counter
  from mpmath import mp, workprec
  from mpmath.libmp.libmpf import prec_to_dps
  from sympy.core.sorting import default_sort_key
  from sympy.core.evalf import DEFAULT_MAXPREC, PrecisionExhausted
  from sympy.core.logic import fuzzy_and, fuzzy_or
  from sympy.core.numbers import Float
  from sympy.core.sympify import _sympify
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.polys import roots, CRootOf, ZZ, QQ, EX
  from sympy.polys.matrices import DomainMatrix
  from sympy.polys.matrices.eigen import dom_eigenvects, dom_eigenvects_to_sympy
  from sympy.polys.polytools import gcd
  from .exceptions import MatrixError, NonSquareMatrixError
  from .determinant import _find_reasonable_pivot
  from .utilities import _iszero, _simplify
label_desc: Use image node_id 25 for calling a global function with example usage: _is_indefinite(M) and returns: False, fuzzy_and, unknown