Synthesis method of orthogonal encoding and decoding matrices based on integers, providing the implementation of code division of channels

The method of code division of binary channels based on the arithmetic analogue of convolutional codes is investigated. The synthesis method of encoding and decoding matrices is proposed for implementing a code division of channels regardless of the number of users. The synthesis and implementation of theses pairs of matrices will significantly simplify the schemes for constructing encoding and decoding devices. Research results can be used in various communication technologies: in real-time systems, in distributed systems in on-board equipment complexes, to ensure reliable information transfer.

The diverse lives of progenitors of hydrogen-rich core-collapse supernovae: the role of binary interaction

Hydrogen-rich supernovae, known as Type II (SNe II), are the most common class of explosions observed following the collapse of the core of massive stars. We used analytical estimates and population synthesis simulations to assess the fraction of SNe II progenitors that are expected to have exchanged mass with a companion prior to explosion. We estimate that 1/3 to 1/2 of SN II progenitors have a history of mass exchange with a binary companion before exploding. The dominant binary channels leading to SN II progenitors involve the merger of binary stars. Mergers are expected to produce a diversity of SN II progenitor characteristics, depending on the evolutionary timing and properties of the merger. Alternatively, SN II progenitors from interacting binaries may have accreted mass from their companion, and subsequently been ejected from the binary system after their companion exploded. We show that the overall fraction of SN II progenitors that are predicted to have experienced binary interaction is robust against the main physical uncertainties in our models. However, the relative importance of different binary evolutionary channels is affected by changing physical assumptions. We further discuss ways in which binarity might contribute to the observed diversity of SNe II by considering potential observational signatures arising from each binary channel. For supernovae which have a substantial H-rich envelope at explosion (i.e., excluding Type IIb SNe), a surviving non-compact companion would typically indicate that the supernova progenitor star was in a wide, non-interacting binary. We argue that a significant fraction of even Type II-P SNe are expected to have gained mass from a companion prior to explosion.

APPLICATION OF MAJORITARIAN ELEMENT TO IMPROVE IO COMMUNICATION / DAUGUMOS ELEMENTO TAIKYMAI SKIRTI TOBULESNIAM RYŠIUI TARP INTERNETO DAIKTŲ

The work introduces the circle of the basic ideas and methods of error-free recovery of the binary signal to the multichannel digital technology based on the model of formal (artificial) neuron and aims to contribute to the further development of this theo-ry of reliability. The work is useful for reservation or for exchange of a highly valuable information. During communication be-tween machines, connection related problems could occur and this work will be of a great help for machines to choose right channel for connection. Work also is a successful attempt of figuring out binary signal error recovery probability of minimum highest value. Moreover, binary channels optimization problems addressed by using threshold model and exploring three differ-ent approaches. In the future, this work will be used in Internet of Things (IoT) for the exact communication between machines. Work will be used with threshold model for minimizing errors in the communication between things. Straipsnyje pristatomos idėjos ir metodai skirti daugiakanalių sistemų klaidoms skaitmeniniuose signaluose atstatyti. Nagrinėjama technologija grindžiama formaliuoju (dirbtiniu) neuronu, plėtoja patikimumo teoriją ir gali būti taikoma rezervavimo, siunčiant labai svarbią informaciją, sprendimams. Siekiant pagrįsti alternatyvaus kanalo tinkamą parinkimą, trimis skirtingais būdais nagrinėjamos dvejetainių signalų atstatymo tikimybės. Gauti rezultatai ateityje planuojami taikyti tiksliam (be klaidų) informacijos perdavimui ryšiuose tarp interneto daiktų.

Powering and Shaping Planetary Nebulae: The Physics of Common Envelopes

The diversity of collimated outflows in post-asymptotic-giant-branch stars and their planetary nebula progeny are often explained by a combination of close binary interactions and accretion. The viability of such scenarios can be tested by comparing kinematic outflow data to determine minimum accretion rates necessary to power observed outflows. While many binary channels have been ruled out with this technique, common envelope interactions can accommodate the current observational constraints, are potentially common, lead to a diverse array of planetary-nebula shapes, and naturally produce period gaps for companions to white dwarfs.