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Ubiquitous/Pervasive computers, networks and information are paving a road towards a smart world (SW) in which computational intelligence is distributed throughout the physical environment to provide trustworthy and relevant services to people. This ubiquitous/pervasive intelligence (UI/PI) will change the computing landscape because it will enable new breeds of applications and systems to be developed; the realm of computing possibilities will be significantly extended. By embedding digital intelligence in everyday objects, our workplaces, our homes and even ourselves, many tasks and processes could be simplified, made more efficient, safer and more enjoyable. Ubiquitous or pervasive computing composes these many "smart things/u-things" to create the environments that underpin the smart world. In this presentation, the potential trends towards smart world (SW) and ubiquitous/pervasive intelligence (UI/PI) from smart u-things to smart spaces and then to smart hyperspaces will be addressed, as well as, the challenges in smart u-things' research in terms of technical and real world complexity.