In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis of an integral operator (the skeleton) living on the submanifold which supports the delta interactions. We shall present several tools which allow direct insight into the spectral structure of this skeleton. We shall i...

Effective risk management typically requires the evaluation of multiple consequences of different sources of risk, and multicriteria value models have been used for that purpose. The value of mitigating a risk impact is often considered by risk managers as dependent on the levels of other impacts, therefore there is a need for procedures to identify and model these interactions within a value m...

To better understand the painting technique of a given period, information from different sources are usually combined: written statements by the artist or his contemporaries, art technological study of paintings, and chemical analysis. However, does the information obtained from different sources fit together and form an integral picture? Based on a case study of a painting by Arnold Böcklin t...

This article, which focuses on relations between Warao Amerindians and nonnative agents, describes documents as an opaque medium of interaction whose meaning is far from being shared, and which also create doubts as to the identity of the people involved. It suggests that such uncertainty is integral to the Warao’s involvement in asymmetrical relations with outsiders, which are inextricably pol...

Powerful radio galaxies and radio-loud quasars at high redshifts are frequently associated with extended emissionline regions (EELRs). Here we investigate the [O ] EELR around the quasar 3C 196 at z = 0.871 using integral field spectroscopy. We also detect extended [Ne ] emission at a distance of about 30 kpc from the core. The emission is aligned with the radio hot spots and shows a redshi...

Nonlocal gradient operators are basic elements of nonlocal vector calculus that play important roles in nonlocal modeling and analysis. In this work, we extend earlier analysis on nonlocal gradient operators. In particular, we study a nonlocal Dirichlet integral that is given by a quadratic energy functional based on nonlocal gradients. Our main finding, which differs from claims made in previo...

An analytical investigation and conceptual design of a disk-shaped asymmetric heat pipe is presented in this work. Using the conservative formulations for the steady incompressible vapor and liquid flow for a disk-shaped heat pipe, an in-depth integral analysis is applied. Analytical results for the asymmetric vapor velocity profile, the vapor and liquid pressure distributions, and the vapor te...

Various functional integral formalisms of classical monatomic fluids are considered with their applicabilities and limitations compared. For length scales large compared to the particle size, the density field theory, in which the action of the functional integral is simply given by the mean fieldfree energy functional expression, is shown to be a well-defined and rigorous formulation. For shor...

we review various ways to express the partition function of the single-band hubard model as a path integral. the emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly.   since the single-band hubbard model is a pure fermionic model on the lattice and its hamiltonian is a polynomial in creatio...