Sentence examples for apologize for these errors from inspiring English sources

The authors apologize for these errors.

The authors wish to apologize for these errors.

The authors would like to apologize for these errors.

We apologize for these embarrassing errors.

The authors apologize for the errors and emphasize that these changes do not alter the concepts that they addressed in their article.

We apologize for the errors and confirm that these errors are typographical in nature and do not affect the results, discussion or conclusion in the originally published manuscript [ 2].

The authors apologize for the errors.

The authors apologize for the errors and regret any inconvenience that may have been caused.

We apologize for the error.

I apologize for the error.

We sincerely apologize for the error.