This paper introduces a new approach to the theory of Ω-categories enriched by a frame. The approach combines ideas from various areas such as generalized ultrametric domains, Ω-categories, constructive analysis, and fuzzy mathematics. As the basic framework, we use the Wagner’s Ω-category [18,19] with a frame instead of a quantale with unit. The objects and morphisms in the category will be ca...

Abstract Few years ago Găvruţa gave the notions of K -frame and atomic system for a linear bounded operator in Hilbert space $$\mathcal {H}$$ H order to decompose {R}(K)$$ R ( K ) , range with frame-like expansion. Thes...

The Landau–Zener effect is generalized for many-body systems with pairing residual interactions. The microscopic equations of motion are obtained and the C decay of Ra spectroscopic factors are deduced. An asymmetric nuclear shape parametrization given by two intersected spheres is used. The single particle level scheme is determined in the frame of the superasymmetric two-center shell. The def...

We show that Minkowski single-particle states localized beyond the horizon modify Unruh thermal distribution in an accelerated frame. This means that, contrary to classical predictions, observers can reveal particles emitted horizon. The method we adopt is based on deriving explicit Wigner characteristic function for complete description of quantum field noninertial frame and be generalized gen...

This project report presents methods for determining maneuverability constraints for robotic systems. These maneuverability constraints are limits on the acceleration and velocity of the system specified in a global coordinate frame (e.g., a Cartesian reference frame where trajectory planning is typically done) based on torque/force and operating limits in a different reference frame (e.g., the...

In this paper, we present the notions of proximal contractions of Perov first and second kind and proximal cyclic contractions of Perov type and prove the existence and uniqueness of coincidence best proximity point under these contractive conditions in the frame work of regular cone metric space. Our results extend and generalized many existing results in literature.

Dystonic head tremor is known to be a feature in some patients with DYT1 mutation. However, isolated tremor of the head without relevant cervical dystonia has rarely been described. We report here a patient with the three-bp GAG deletion in the DYT1 gene (904_906delGAG) who had severe head tremor in the frame of a generalized limb dystonia.

We study the generalized conformal quantum mechanics of the probe D0brane in the near horizon background of the bound state of source D0-branes. We elaborate on the relationship of such model to the M theory in the light cone frame. Typeset using REVTEX E-mail address: [email protected]

We formulate a statistical analogy of regular Lagrange mechanics and Finsler geometry derived from Grisha Perelman’s functionals and generalized for nonholonomic Ricci flows. Explicit constructions are elaborated when nonholonomically constrained flows of Riemann metrics result in Finsler like configurations, and inversely, when geometric mechanics is modelled on Riemann spaces with a preferred...

To resolve some unphysical interpretations related to velocity measurements by static observers, we discuss the use of generalized observer sets, give a prescription for defining the speed of test particles relative to these observers, and show that, for any locally inertial frame, the speed of a freely falling material particle is always less than the speed of light at the Schwarzschild black ...