There are two main approaches to obtaining “topological” cartesian-closed categories. Under one approach, one restricts to a full subcategory of topological spaces that happens to be cartesian closed — for example, the category of sequential spaces. Under the other, one generalises the notion of space — for example, to Scott’s notion of equilogical space. In this paper we show that the two appr...

A known low complexity low roundoff noise limit cyclefree second-order state-space digital filter is here revisited. New design strategies to synthesize that filter are discussed, and the results of applying those strategies to some examples are shown. These results support the statement that it is possible to produce a better synthesis to that structure, in the sense of output roundoff noise r...

Using the dipole framework for QCD at small xBj in the 1/Nc limit, we derive the expression of the 1→p dipole multiplicity density in momentum space. This gives an analytical expression for the 1→p QCD Pomeron amplitudes in terms of one-loop integration of effective vertices in transverse momentum. Conformal invariance and a Hilbert space construction for dipole correlation functions are the ma...

In this paper the concept of soft fuzzy filter on X, soft fuzzy prime filter on X, soft fuzzy ultrafilter on X, soft fuzzy minimal prime filter collections are introduced. The concept of soft fuzzy limit space (X, ltτ ) and the related properties are discussed. The functor ι from the collection of soft fuzzy filters F(X) to the collection of filters on X and the functor ω defined from the colle...

Defining the observable φ canonically conjugate to the number observable N has long been an open problem in quantum theory. Here we show how to define the absolute phase observable Φ ≡ |φ| by suitably restricting the Hilbert space of x and p like variables. This Φ is actually the absolute value of the phase and has the correct classical limit. A correction to the " cosine " C and " sine " S ope...

In this contribution we go through the developments that in the years from 1968 to about 1974 led from the Veneziano model to the bosonic string theory. They include the construction of the N -point amplitude for scalar particles, its factorization through the introduction of an infinite number of oscillators and the proof that the physical subspace was a positive-definite Hilbert space. We als...