\(\boxed{\text{B) the same}}\)
The given reaction is:
\[
\mathrm{SO}_{3}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{H}_{2} \mathrm{SO}_{4}
\]
This reaction involves the combination of sulfur trioxide (\(\mathrm{SO}_3\)) and water (\(\mathrm{H}_2\mathrm{O}\)) to form sulfuric acid (\(\mathrm{H}_2\mathrm{SO}_4\)). This type of reaction is known as a combination reaction.
\(\boxed{\text{B) combination}}\)
In a single replacement reaction, one element (metal or halogen) replaces another element in a compound to form a new compound.
\(\boxed{\text{D) single replacement}}\)