An example of a nitely presented monoid is given that does not satisfy the homo-topical niteness condition FHT, although it satisses both the homological niteness conditions left FP 1 and right FP 1 .tions left FP 1 and right FP 1 .
In recent years a number of conditions has been established that a monoid must necessarily satisfy if it is to have a presentation through some nite convergent string-rewriting system. Here we give a survey on this development, explaining these necessary conditions in detail and describing the relationships between them.
In this paper we propose a pattern language for active learners, which we name " Learning Patterns ". Learning patterns were originally developed in order to support learning of university students, however we think it can be applied to any learners in various situations like engineering, business, science, and everyday life due to the abstract descriptions… (More)
We evaluated brain activity using 64-channel visual evoked potentials (VEPs) while subjects perceived apparent motion in depth. Checkerboard patterns (CBPs) within small and large circles were presented in turn as experimental conditions. Motion in depth was perceived when the CBP in the large circle was coarser than in the small circle; when coarseness did… (More)
Motion aftereffect (MAE) is a type of motion illusion. After visual focusing on an object moving in one direction, an illusory perception of motion in the opposite direction occurs while the object suddenly stops moving. In this study we explored components and distribution of evoked potentials related to this motion illusion using MAE caused by motion of… (More)