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We propose a mathematical model for the diffusion of opinions, which eventually leads to the attainment of the state of consensus. The theory of conflict dynamical systems with attractive interaction is used for the construction of a model. The behavior of the model in the case of making binary decisions is described in detail and the behavior of trajectories in the decision-making model with many alternative positions is investigated. [ABSTRACT FROM AUTHOR]

A comparative analysis of the evolution of integrated photometric parameters for young star formation complexes in spiral and irregular galaxies and open star clusters in our Galaxy is performed. Extragalactic star formation complexes seen as giant H II regions and open star clusters in the Milky Way are shown to represent a single evolutionary sequence of objects at different stages of their evolution when the extinction is properly taken into account. [ABSTRACT FROM AUTHOR]

2MASS is the most complete, homogeneous, and least contaminated catalog among the deep all-sky catalogs of stellar data produced to date. These qualities allow it to be successfully used not only for astrophysical studies, but also for solving various problems of all-sky astrometry and for operational support of automated telescopes. However, the lack of optical photometry in the catalog prevents its potential from being completely unveiled. To overcome this shortcoming, we have developed a procedure for transforming the 2MASS near-infrared magnitudes to optical magnitudes R J relative to the UCAC2 magnitudes R U . As a result of applying this procedure, all 2MASS objects have gotten optical magnitudes with effective wavelengths between the V and R bands of the Johnson system. The resulting transformation accuracy $$ \varepsilon _{R_J } $$ < 05). We also give a brief overview of the present-day all-sky catalogs with emphasis on their photometric properties and completeness. [ABSTRACT FROM AUTHOR]

The wide neighborhoods of 401 open clusters are analyzed using the modern, high-precision, homogeneous ASCC-2.5 all-sky catalog. More than 28000 possible cluster members (including about 12500 most probable members) are identified using kinematic and photometric criteria. Star counts with the ASCC-2.5 and USNO-A2.0 catalogs are used to determine the angular and linear radii of the cluster cores and coronas, which exceed the previously published values by factors of two to three. The segregation (differing central concentration) of member stars by magnitude is observed. The mean proper motions are determined directly in the Hipparcos system for 401 clusters, for 183 of them for the first time. The heliocentric distances of 118 clusters are determined for the first time based on color-magnitude diagrams for their identified members. [ABSTRACT FROM AUTHOR]