The analysis of extreme states of consciousness (perinatal experience and transpersonal experience) is outside the sphere of normal science. Experience goes beyond the empirically evidenced frames of consciousness and become transcendental towards rational manifestations. The author offers hypothesis of possible worlds with emphasis on the authenticity of the experience in the role of the facto...

The theory of finite groups is of central importance in mathematics, and finds wide applications in all the physical sciences and elsewhere. In essence it is the deep study of symmetry in all its innumerable manifestations, and so has applications in all situations where symmetry occurs. The building blocks of finite groups are the ‘simple’ groups, analogous to the prime numbers in number theor...

A framework to represent and operate functions is needed, because functions are crucial in various engineering activities. This paper formalizes combining multiple functions . The presented method is based on the Function-Behavior-State (FBS) modeling. In the FBS modeling . a functional world consisting of subjective descriptions and a physical world described based on Qualitative Process Theor...

—The Internet of Things envisions a multitude of heterogeneous objects and interactions with the physical environment. The functionalities provided by these objects can be termed as 'real-world services' as they provide a near real-time state of the physical world. A structured, machine-processible approach to provision such real-world services is needed to make heterogeneous physical objects a...

During the history of geometry people gradually acquired physical knowledge of space, and later consolidated it in a more abstract form of knowledge, geometry. In this paper we describe how elementary school students used physical manipulatives in conjunction with the digital interface of educational software for geometry. The addition of physical manipulatives helped the students to consolidat...

where G is a finite group. If we want to understand the differential geometry behind the DW-model we have to give up the finiteness of G of course. If G is a Lie group, we can ask ourselves what geometric objects correspond to smooth homomorphisms from π1(M) to G (we will not explain here what we mean by smoothness exactly). The answer is well known: principal Gbundles with flat connections. We...

Digitizing the continuous world unavoidably looses information; as a consequence, geometrical properties of real-world objects can only be estimated from the digital data. For continuous straight lines and straight object boundaries, we show the best accuracy that can be reached in the estimation of length (and other properties), in the absence of noise. In the process, we give an analytical ex...

This paper is a contribution to the semantical theory of different types of knowledge ascription, in particular the semantics of ‘knowing who’ and of the interaction between quantifiers and epistemic modal expressions. In possible world semantics, the truth conditions of such sentences depend on the way that identity across possible worlds is modeled. The main argument of this paper is that the...

Cyber-physical systems interconnect the cyber world with the physical world in which sensors are massively networked to monitor the physical world. Various services are expected to be able to use sensor data reflecting the physical world with information technology. Given this expectation, it is important to simultaneously provide timely access to massive data and reduce storage costs. We propo...

In this paper we present ideas that can help to close the gap between virtual reality and embedded interaction, which are usually assumed to be the two extremes of a dimension that describes mixed reality interaction. We present our preliminary ideas on surface interaction with stereoscopic data as well as our work on mobile camera-projector units. While the first line of research tries to incr...