Bending instability in galactic discs. Advocacy of the linear theory

We demonstrate that in N-body simulations of isolated disc galaxies there is numerical vertical heating which slowly increases the vertical velocity dispersion and the disc thickness. Even for models with over a million particles in a disc, this heating can be significant. Such an effect is just the same as in numerical experiments by Sellwood (2013). We also show that in a stellar disc, outside a boxy/peanut bulge, if it presents, the saturation level of the bending instability is rather close to the value predicted by the linear theory. We pay attention to the fact that the bending instability develops and decays very fast, so it couldn't play any role in secular vertical heating. However the bending instability defines the minimal value of the ratio between the vertical and radial velocity dispersions $\sigma_z / \sigma_R \approx 0.3$ (so indirectly the minimal thickness) which could have stellar discs in real galaxies. We demonstrate that observations confirm last statement.Comment: 8 pages, 8 figures, accepted for publication in MNRA

Tidal Tails and Galaxy Evolution

We review recent results on the tidal structures of spiral galaxies. Topics included are general characteristics of tails; kinematics of tidal structures and dark haloes of host galaxies; frequency of tidal distortions at z~1.Comment: 5 pages, "Morphology and Dynamics of Stellar Systems: Star Clusters, Galactic Arms and Rings", Proc. JENAM-2000, in pres

The application of digital marketing strategies to increase profits of the organization

This thesis focuses on the solution of the problem raised by a Finnish manufacturer of high-quality amplifiers, guitar pedals, and cables, Mad Professor Amplification Oy. To provide an answer to the research question – “How can Mad Professor Amplification Oy implement proper digital marketing strategies to improve stable sales growth?” digital marketing approaches of the company, theoretical material, and information during the research process were examined. The scope of the research is narrowed down to the analysis of the internal data obtained from the company. Interviews and a questionnaire are the major research methods, selected for gathering supporting information. An external view of the author, literature, and other valid sources such articles compliment the chosen research methods. Strengths and weaknesses of the digital marketing strategy of the company were indicated through analysis of the actual situation, which proved insufficiency in its approaches. An action plan for the improvement of the situation was proposed by the author. It includes recommendations on optimization of social media channels and utilization of content marketing