Fix Probabilities from LOP Geometry

Geometry of Upper Probabilities

In this paper we adopt the geometric approach to the theory of evidence to study the geometric counterparts of the plausibility functions, or upper probabilities. The computation of the coordinate change between the two natural reference frames in the belief space allows us to introduce the dual notion of basic plausibility assignment and understand its relation with the classical basic probabi...

Legal Orientation Program (lop)

Heating and Melting Deformable Models ( From Goop to G lop )

W~ develop phy~ically-ba~ed graphic~ model~ of nonrigid obJect& capable of heat conduction, thermoela&ticity, melting, and fluid. like behavior in the molten &tate. Theu de. formable model& feature nonrigid dynamic& governed by La. grangian equation& of motion and conductive heat tramfer governed by the heat equation for nonhomogeneou& non. i&otropic media. In it& &olid &tate, the di&eretized m...

Computing halting probabilities from other halting probabilities

The halting probability of a Turing machine is the probability that the machine will halt if it starts with a random stream written on its one-way input tape. When the machine is universal, this probability is referred to as Chaitin’s omega number, and is the most well known example of a real which is random in the sense of Martin-Löf. Although omega numbers depend on the underlying universal T...

Noncommutative Geometry, Negative Probabilities and Cantorian-fractal Spacetime

A straightforward explanation of the Young’s two-slit experiment of a quantum particle is obtained within the framework of the Noncommutative Geometric associated with El Naschie’s Cantorian-Fractal transfinite Spacetime continuum.