Complex sentence: It follows from the dominated convergence theorem that S "P" ("t ") exists and is finite for almost every"t " and furthermore it follows that S"P " is integrable on the interval (0,"P").
Split into simpler sentences: It follows from the dominated convergence theorem that s "P" ("t ") exists and is finite for almost every"t ". And furthermore it follows that s"P " is integrable on the interval (0,"P").