Sarunnio I'd like to know what part of speech the phrase "reflecting the probability that a person appears for the first time in that region in space" is "Part of speech" applies only to a single word, not to a phrase. What you've quoted there is a participle clause. It seems to give additional information about the one "entry", but it may actually modify "vector".
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SarunnioI'd like to know what part of speech the phrase "reflecting the probability that a person appears for the first time in that region in space" is"Part of speech" applies only to a single word, not to a phrase.