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Trade receivables - Net (Tables)
 12 Months Ended
Dec. 31, 2019
Trade and other receivables [abstract]  
Schedule of Age of Receivables Past Due

Age of net receivables that are past due were as follows:

 

  At December 31,
  2 0 1 9   2 0 1 8
           
30 - 60 days $ 279,048   $ 221,996
61 - 90 days   121,790     57,119
91 + days   535,955     188,262
Total $        936,793   $ 467,377
Schedule of Allowance for Doubtful Accounts

During the years ended December 31, 2019 and 2018, the movement in the allowance for doubtful accounts was as follows:

 

 

 2 0 1 9   2 0 1 8
           
Balance at beginning of year $ 231,778   $ 199,855
Provisions   4,529     7,486
Recoveries   (63)

 

 

    
Translations effects   854     24,437
Balance at end of year $ 237,098   $ 231,778