Markov Process of Muscle Motors

We study a Markov random process describing a muscle molecular motor behavior. Every motor is either bound up with a thin filament or unbound. In the bound state the motor creates a force proportional to its displacement from the neutral position. In both states the motor spend an exponential time depending on the state. The thin filament moves at its velocity proportional to average of all displacements of all motors. We assume that the time which a motor stays at the bound state does not depend on its displacement. Then one can find an exact solution of a non-linear equation appearing in the limit of infinite number of the motors.Comment: 10 page

The Proper Motion of PSR J0205+6449 in 3C 58

We report on sensitive phase-referenced and gated 1.4-GHz VLBI radio observations of the pulsar PSR J0205+6449 in the young pulsar-wind nebula 3C 58, made in 2007 and 2010. We employed a novel technique where the ~105-m Green Bank telescope is used simultaneously to obtain single-dish data used to determine the pulsar's period as well as to obtain the VLBI data, allowing the VLBI correlation to be gated synchronously with the pulse to increase the signal-to-noise. The high timing noise of this young pulsar precludes the determination of the proper motion from the pulsar timing. We derive the position of the pulsar accurate at the milliarcsecond level, which is consistent with a re-determined position from the Chandra X-ray observations. We reject the original tentative optical identification of the pulsar by Shearer and Neustroev (2008), but rather identify a different optical counterpart on their images, with R-band magnitude ~24. We also determine an accurate proper motion for PSR J0205+6449 of (2.3 +- 0.3) mas/yr, corresponding to a projected velocity of only (35 +- 6) km/s for a distance of 3.2 kpc, at p.a. -38 deg. This projected velocity is quite low compared to the velocity dispersion of known pulsars of ~200 km/s. Our measured proper motion does not suggest any particular kinematic age for the pulsar.Comment: 10 pages, 7 figures; accepted for publication in MNRA

Lowering and raising operators for the free Meixner class of orthogonal polynomials

We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line

Chapter 39 of the Magna Carta in the Interpretation of Russian Historians Alexander N. Savin and Paul G. Vinogradoff

The analysis of interpretations of chapter 39 of the Magna Carta proposed by two prominent Russian historians A. N. Savin and P. G. Vinogradov is carried out. It is shown that, although the editors of the Magna Carta of 1225 were of great importance in the constitutional development of England, the authors used the edition of 1215. It is noted that A. N. Savin was interested in the social realities hidden behind the words and formulas of chapter 39: in his opinion, the article reflected the interests of the baronial opposition of the royal power, the feudal lords under “free” meant themselves and wanted to fix guarantees against arbitrariness, while one of instruments to protect the rights and privileges of tycoons was to become a class court - the “court of equals”, or “the court of peers”. The opinion of another historian, P. G. Vinograd, who focused on the adaptive capabilities of chapter 39 of the Magna Charter, is presented: the term free , which in this article refers to barons, was later transferred to other categories of the population, including the Villans; the term country law , which means “customs and laws”, later came to mean “legality, and the further interpretation of "legality” and “law” led to the king’s prerogative of arbitrary arrests being more and more perceived as an exception, but not a rule

Entry of the Russian Embassy to Isfahan and Diplomatic Receptions in the Safavid State (according to the Memoirs of John Bell)

The article is devoted to the ceremonial ritual diplomatic practices adopted at the Persian Safavid court during the reign of Shah Sultan Hussein (1694-1722), described by the Scottish physician John Bell, who was a member of the Russian embassy of Artemy Volynsky in Isfahan (1717). It is noted that John Bell, with varying degrees of detail, captured the order of entry of foreign diplomatic missions to Isfahan, the movement along the streets of the capital and the consistent structure of the entry of the Russian embassy. The fact that there was an elaborate ceremony and etiquette for receiving foreign embassies in Safavid Persia is shown in the article. The author believes that the capital of Isfahan itself, its suburbs, the main Shah’s residence Talar-i Tawila, and the Shah’s country residences acted as the ceremonial space. It has been proven that the Safavid ceremony involved a magnificent meeting of the embassy at the entrance to the capital, her escort to the place of accommodation, a solemn entry into the capital, a reception with the Shah with the presentation of credentials and a meal. A comparative analysis of the receptions of the shah and high-ranking officials, differing in their degree of representativeness, led to the conclusion that the shah’s receptions were exclusively ceremonial, while important political issues could be discussed at receptions of high-ranking officials. It is noted that the receptions of senior officials could surpass the receptions of the shah with pomp

Larids, Scolopacids, and Passerines Exploiting Ephemeral Prey at Talan Island, Russia

We report an unusual multispecies foraging assemblage that included larids, shorebirds and passerines which exploited a highly concentrated and ephemeral prey source over a period of three days in July and August 1988. During studies of breeding biology, food-habits and host-parasite ecology among a diverse colonial avifauna at Talan Island in the northern Sea of Okhotsk (59°18\u27N; 149°02\u27E) we observed the formation of mixed-species flocks during extreme high tides of July 31, August 1, and August 13, 1988

Larids, Scolopacids, and Passerines Exploiting Ephemeral Prey at Talan Island, Russia

We report an unusual multispecies foraging assemblage that included larids, shorebirds and passerines which exploited a highly concentrated and ephemeral prey source over a period of three days in July and August 1988. During studies of breeding biology, food-habits and host-parasite ecology among a diverse colonial avifauna at Talan Island in the northern Sea of Okhotsk (59°18\u27N; 149°02\u27E) we observed the formation of mixed-species flocks during extreme high tides of July 31, August 1, and August 13, 1988