One student has reported that Safari web browser ..
Safari is mentioned for the first time in the text.
We store the data using Oracle database
Shall I use the article
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Use the article in both cases. The reason is that it relates to "web browser" and "database" respectively.
You can think of Safari and Oracle as adjectival nouns, e.g
One student has reported that the new web browser ...
One student has reported that the Safari web browser ...
We store the data using the most reliable database
We store the data using the Oracle database