In this paper we prove that a transitive fuzzy relation R on a set X can be extended to a total transitive fuzzy relation Q on X preserving the irreflexivity of R. This generalizes a classical theorem of Szpilrajn that asserts that any strict order on X can be extended to a total strict order on X . The extension theorem that we obtain will be used in the fuzzy analysis of a classical Richter t...

The pathogenesis of vasovagal syncope has remained elusive despite many efforts to identify an underlying dysfunction. Catastrophe theory explains the spontaneous occurrence of sudden events in some mathematically complex systems known as self-organized systems poised at criticality. These systems universally exhibit a power law initially described in earthquake occurrence: the Gutenberg Richte...

A probabilistic neural network (PNN) is presented for predicting the magnitude of the largest earthquake in a pre-defined future time period in a seismic region using eight mathematically computed parameters known as seismicity indicators. The indicators considered are the time elapsed during a particular number (n) of significant seismic events before the month in question, the slope of the Gu...

BACKGROUND On May 12th 2008, an earthquake with a magnitude of 8.0 on the Richter scale struck China, causing a large number of casualties and significant economic losses. By interviewing 2080 survivors of Wenchuan earthquake, the objective of this study is to estimate the role of different types of social support as possible moderating factors between anxiety and depression. METHODS A strati...

We report a 53-year-old man diagnosed with Richter syndrome. He was heavily pretreated and was refractory to prior therapy. He received rituximab and ibrutinib, and achieved a significant response after 1 month of therapy. Our case illustrates the importance of investigation of rituximab and ibrutinib in Richter's syndrome.

On 8th October 2005 an Earthquake measuring 7.6 on the Richter scale struck Azad Jammu and Kashmir and the Northern Areas of Pakistan. The psychosocial consequences were in no way less than the massive loss of lives and property and the physical injuries and maladies that followed the disaster. A large number of health carers from across the country and around the world converged to undertake t...

In this note we give a simple proof of a result of Richter and Siran by basic counting method, which says that the crossing number of K3,n in a surface with Euler genus ε is

iráň constructed infinite families of k-crossing-critical graphs for every k ≥ 3 and Kochol constructed such families of simple graphs for every k ≥ 2. Richter and Thomassen argued that, for any given k ≥ 1 and r ≥ 6, there are only finitely many simple k-crossingcritical graphs with minimum degree r. Salazar observed that the same argument implies such a conclusion for simple k-crossing-critic...

Abstract In this article, the integrity of seismic catalog obtained (1970–2014, M > 2.8) was verified according to Gutenberg–Richter relation, appropriate minimum magnitude determined, and whole region divided into five areas geological structure background research object trend historical zone. We applied multifractal analysis in each partition. The results showed that although different ba...