Abstract: To provide a technique of calculating an inverse Laplace transform as a feature of a signal y(t) which is represented as a combination of a Laplace transform of a discrete measure and an offset b, a feature calculation apparatus includes a calculation section that calculates, for each of n consecutive intervals (?0, ?1], (?1, ?2], . . . , (?n?1, ?n], a value ?y?b((?k?1, ?k]) as a feature of a signal y(t) approximated by formula (1) below and including an offset b, the value ?y?b((?k?1, ?k]) being approximated by formula (2) below: y ? ( t ) = b + ? k = 1 K ? k ? e - ? k ? t ( 1 ) v y - b ( ( ? k - 1 , ? k ] ) = ? k : ? k - 1 < k ? ? k ? k .

Abstract: In an industrial complex composed of a plurality of plants, at least one of the plants is provided with a service section, specifically, analyzers, for providing a service for at least one of the plants in accordance with the request from at least one of the plants. A virtual service center, that is, a virtual analysis center, is composed of the analyzers and a server.