In this paper, we give two new existence theorems for maximal elements in H-spaces. As their applications, we obtain a extended version of Fan–Yen minimax inequality and some new existence theorems of an equilibrium for a qualitative game and an abstract economy. Our main results not only generalize the corresponding results of [4, 12, 15, 16] to H-spaces, but also the open question raised by Y...

The global states of complex systems often form pospaces, topological spaces equipped with compatible partial orders reflecting causal relationships between the states. The calculation of tractable invariants on such pospaces can reveal critical system behavior unseen by ordinary invariants on the underlying spaces, thereby sometimes cirumventing the state space problem bedevilling static analy...

We study the twisted index theory of elliptic operators on orbifold covering spaces of compact good orbifolds, which are invariant under a projective action of the orbifold fundamental group. We apply these results to obtain qualitative results on real and complex hyperbolic spaces in 2 and 4 dimensions, related to generalizations of the Bethe-Sommerfeld conjecture and the Ten Martini Problem, ...

We determine the implicit assumptions and the structure of the Single and Double Cross Calculi within Euclidean geometry, and use these results to guide the construction of analogous calculi in mereogeometry. The systems thus obtained have strong semantic and deductive similarities with the Euclidean-based Cross Calculi although they rely on a different geometry. This fact suggests that putting...

Qualitative probabilistic reasoning in a Bayesian network often reveals tradeoffs: relationships that are ambiguous due to competing qualitative influences. We present two techniques that combine qualitative and numeric probabilistic reasoning to resolve such tradeoffs, inferring the qualitative relationship between nodes in a Bayesian network. The first approach incrementally marginalizes node...

Today’s housing, as a private realm of human life, has changed in comparison with the past which was made regardless of quality, desirability, and lack of paying attention to the human needs and its psychological consequences; That is to say, residential units have turned into a set of closed spaces and their open and semi-open spaces have been merged into the urban spaces which disrupted their...

public spaces, a central role in planning and urban development is major components of an urban environment is healthy and lively. qualitative and quantitative development of urban public spaces, when appropriate administrative process will be realized, the priority issues in the survey cities, based on modern theories of popular participation (user's perspective) and using the scientific ...

urban public spaces are the most important instruments to strengthen the participation of civil society as an arena of all groups both men and women. women as half of the public spaces users should use urban public spaces as well as men easily and they must feel comfortable in these kinds of places. however, experiences and also the result of researches have shown that women do not benefit equa...

■ The Eighth International Workshop on Qualitative Reasoning about Physical Systems (QR ‘94) was held on 7–10 June 1994 in Nara, Japan. Fifty-three people participated, and 34 papers were presented in either oral or poster sessions. The papers either addressed core issues of qualitative reasoning or extended the field along three axes: (1) cognitive modeling, (2) mathematical sophistication, an...