Homology class of a Lagrangian Klein bottle

It is shown that an embedded Lagrangian Klein bottle represents a non-trivial mod 2 homology class in a compact symplectic four-manifold $(X,\omega)$ with $c_1(X)\cdot[\omega]>0$. (In versions 1 and 2, the last assumption was missing. A counterexample to this general claim and the first proof of the corrected result have been found by Vsevolod Shevchishin.) As a corollary one obtains that the Klein bottle does not admit a Lagrangian embedding into the standard symplectic four-space.Comment: Version 3 - completely rewritten to correct a mistake; Version 4 - minor edits, added references; AMSLaTeX, 6 page

Application of therapeutic physical exercises and massage in treatment and rehabilitation of patients with muscular torticollis

The paper presents recommendations for the use of physical exercises and massage in the treatment and rehabilitation of patients withmuscular torticollis. Recommendations are intended for surgeons, doctors and exercise instructors with higher and secondary education, massagetherapists and paediatricians hospitals and clinics

Automatic assembly of wind load from BIM-model

In recent years many Russian construction companies have started using technologies of building information modelling (hereinafter - BIM). It's a global trend aimed at maximum automation and acceleration of a design process and documentation approval. This article shows main advantages of the BIM approach, discusses the possibility of expanding "the space of benefits"by using digital building models for wind load simulation (automatization of this process). Currently, applied methods of wind impact analysis based on which automation is possible are described. Potential application scenarios, describing the advantages of automatic wind load assembly, are listed. Also, possible approach to the analysis of loads in process of BIM-design is shown. © Published under licence by IOP Publishing Ltd

A search for disordered (glassy) phase in solid 3He deformed in situ

A disordered (glassy) state has been searched in solid 3He deformed in the course of experiment employing precise measurements of pressure. The analysis of the temperature dependence of the crystal pressure measured at a constant volume shows that the main contribution to the pressure is made by the phonon subsystem, the influence of the disordered phase being very weak. Annealing of the deformed crystal does not affect this state. The results obtained differ greatly from the corresponding data for solid 4He measured in the region of supersolid effects where a pressure excessive in comparison to the phonon one was registered. The excess pressure had a quadratic dependence on temperature, which is typical of a disordered system. Absence of the excess pressure in solid 3He is unclear yet, some speculative interpretations are suggested.Comment: 9 pages, 4 figure