We study global bifurcations in generic three-parameter families of vector fields on S2. In the recent article by Ilyashenko et al (2018 Invent. Math. 213 461--506), authors show that unfoldings with polycycle 'tears heart' are structurally unstable. consider separatrix graphs 'ears' and 'glasses', prove these unstable as well. also more details classical bifurcation a saddle loop, use it build...

If God did not exist – people would invent one! The development of human civilization requires mechanisms promoting cooperation and social order. One of these mechanisms is based on the idea that everything we do is seen and judged by God – bad deeds will be punished, while good ones will be rewarded. The Information Age has now fueled the dream that God-like omniscience and omnipotence can be ...

Medical observations of leukemia or Hodgkin's disease clusters in time and space have led statisticians to invent techniques to evaluate the probability that these occurrences were due to chance. A difficult computation in human genetics was simplified by a matrix devised by a non-genetical statistician, and readily adapted to newly emerging computer-processing. The experiences exemplify the sp...

A fundamental resource in all communication systems and especially in wireless networks which comes at a premium is capacity. While there is a myriad of external factors influencing system capacity, one of the key issues is spectrum availability. Researchers around the globe are therefore constantly trying to invent novel spectrally efficient techniques to improve bandwidth efficiency. SEFDM is...

This paper introduces a visual, UML-based notation for OWL ontologies. We provide a standard MOF2 compliant metamodel which captures the language primitives offered by OWL DL. Similarly, we invent a UML profile, which allows to visually model OWL ontologies in a notation that is close to the UML notation. This allows to develop ontologies using UML tools. Throughout the paper, the significant d...

Whether bones, teeth, or mother-of-pearl – evolution has always found ways to invent suitable materials for every task. This is also evidenced by otoconia: tiny crystals found in the inner ear, whose structure, formation and function are being investigated by Rüdiger Kniep, Director at the Max Planck Institute for Chemical Physics of Solids in Dresden. Kniep’s research may also help in finding ...

E-Government is taking a step further in innovation to invent a website that allows citizen to monitor the rate at which they consume electricity and water, and automatically inform citizens about the environmental impact. The secondary objective is to encourage public participation that will assist government in service delivery by gaining knowledge of citizens’ concerns. The literature survey...