UNLABELLED BACKGROUND The alternative quantum mechanical description of total energy given by Bohmian theory was merged with the concept of the golden ratio and its appearance as the Heisenberg imbalance to provide a new density-based description of the valence atomic state and reactivity charge with the aim of clarifying their features with respect to the so-called DFT ground state and crit...

This paper describes the procedures of reconstructing ancient architecture using solid modeling with geometric analysis, especially the Golden Ratio analysis. In the past the recovery and reconstruction of ruins required bringing together fragments of evidence and vast amount of measurements from archeological site. Although researchers and scholars in the archeological field have used traditio...

(The analysis leading to these equat ions will be out l ined in Sect ion 2.) Here, a is a n u m b e r and g (x ) a funct ion def ined on some interval ; bo th a and g(x ) are to be de te rmined . W e are going to cons ider only solut ions with (i) a < 1, (ii) g(x ) a strictly decreas ing funct ion of x, a n d (iii) g(0) = 1. The cond i t ion g(0) = 1 is s imply a normal iza t ion ; if ~ (x ) is...

The bounded-delay packet scheduling (or buffer management) problem is to schedule transmissions of packets arriving in a buffer of a network link. Each packet has a deadline and a weight associated with it. The objective is to maximize the weight of packets that are transmitted before their deadlines, assuming that only one packet can be transmitted in one time step. Online packet scheduling al...

In this paper, we propose an eÆcient declustering algorithm which is adaptable in di erent data distribution. Previous declustering algorithms have a potential drawback by assuming data distribution is uniform. However, our method shows a good declustering performance for spatial data regardless of data distribution by taking it into consideration. First, we apply a spatial clustering algorithm...

We present two new deterministic algorithms for the Feedback Vertex Set problem parameterized by the solution size. We begin with a simple algorithm, which runs in O((2 + φ)) time, where φ < 1.619 is the golden ratio. It already surpasses the previously fastest O((1+ 2 √ 2))-time deterministic algorithm due to Cao et al. [SWAT 2010]. In our developments we follow the approach of Cao et al., how...

PURPOSE Rapid reconstruction of undersampled multicoil MRI data with iterative constrained reconstruction method is a challenge. The authors sought to develop a new substitution based variable splitting algorithm for faster reconstruction of multicoil cardiac perfusion MRI data. METHODS The new method, split Bregman multicoil accelerated reconstruction technique (SMART), uses a combination of...

The movement of the males in some species of birds during the courtship determines the probability to be chosen by the female for mating. In order to analyze the behaviors of the birds, biologists nowadays perform a manual annotation of videos displaying the courtship phase. This a tedious and time consuming task. Thus, there is a strong interest in the development of algorithms able to automat...