“Configuration space” is normally introduced as a name for some sort of mathematical abstraction. There are various candidates: when the application we have in mind is that of formulating the laws of a classical mechanics of point-particles living in Newtonian absolute space, one especially natural candidate is the set of all functions from particles to points of space. This set is naturally re...

In this paper we present a different view of user interaction with virtual worlds. We start from the question: how can we bring more natural object behavior into virtual environments? Currently, objects in VR applications often behave in a very un-natural way. Incorporation of physical laws in the virtual environment, together with monitoring natural user actions and behavior is desirable. We p...

The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing in this field one must first gain a clear understanding of the concept “science”; for it is as a part of science that mathematics originally took its place in human thought. By science we mean the systematic cataloguing by means of laws of n...

Although the notion of God as the legislator of nature was already known in the JewishChristian tradition, the modern concept of laws of nature was established only in 17th-century mechanical philosophy of nature, particularly by Descartes and Newton, and remained largely confined to that tradition before it became seriously questioned in quantum mechanics. After a brief historical survey I fir...

Craig Callender, Jonathan Cohen and Markus Schrenk have recently argued for an amended version of the best system account of laws – the better best system account (BBSA). This account of lawhood is supposed to account for laws in the special sciences, among other desiderata. Unlike David Lewis’s original best system account of laws, the BBSA does not rely on a privileged class of natural predic...

We introduce a mechanism for generating power law distributions, referred to as highly optimized tolerance (HOT), which is motivated by biological organisms and advanced engineering technologies. Our focus is on systems which are optimized, either through natural selection or engineering design, to provide robust performance despite uncertain environments. We suggest that power laws in these sy...

Tourism industry is emerging as a new era, one of the main pillars of the economy, the business world. Many planners and policy makers in the development of the tourism industry as the main pillars of sustainable development are mentioned. In this direction, this research inspired by these changes and therefore Social indicators such as social capital, Sense of place, and so on programming usin...

In Berkeley’s Passive Obedience, moral duties are negative and positive as well civil or legal natural. Natural from God therefore valid norms. The supreme authority makes laws. We must obey the law because loyalty to power is one of our natural duties: be loyal obey, which means ‘do not rebel.’ This a duty such categorical unconditional. Positive conditional on conscientious acceptance. I show...

The Cauchy’s theorem for balance laws is proved in a general context using a simpler and more natural method in comparison to the one recently presented in [1]. By ”generality” we mean that the ambient space is considered to be an orientable smooth manifold, and not only the Euclidean space.

For one-dimensional system of dissipative balance laws endowed with a convex entropy we prove, under natural assumptions, that a constant equilibrium state is asymptotically L 2 ?stable under a zero-mass initial disturbance. The technique is based on the construction of an appropriate Liapunov functional involving the entropy and a so-called compensation term.