In a country so large and complex, the transition from centralized control will inevitably involve some delays, errors and false starts.

Sometimes these involve serious errors that require a full and somber dialogue with the readers.

Since actual computer calculations involve roundoff errors, a stopping constant less than 1 should be used, e.g.

For either, learning surgery invariably involves errors until practice makes near perfect.

Claims involving errors accounted for 78 percent of administrative costs.

Some cases appear to involve innocent errors, although others, according to Labor Department records, do involve fraud.

The movie is full of contradictions and involves terrible historic errors, the overall quality being extremely poor.

Frankly, 30 out of 31 cases were of this type, involving substantial errors.

Review under Article 62 is limited to issues involving alleged legal errors.

Some deficiencies were "only minor deviations," but "others involved such serious errors as failing to make home visits or obtain critical investigative information."