Numerical integration of Heath-Jarrow-Morton model of interest rates

We propose and analyze numerical methods for the Heath-Jarrow-Morton (HJM) model. To construct the methods, we first discretize the infinite dimensional HJM equation in maturity time variable using quadrature rules for approximating the arbitrage-free drift. This results in a finite dimensional system of stochastic differential equations (SDEs) which we approximate in the weak and mean-square sense using the general theory of numerical integration of SDEs. The proposed numerical algorithms are computationally highly efficient due to the use of high-order quadrature rules which allow us to take relatively large discretization steps in the maturity time without affecting overall accuracy of the algorithms. Convergence theorems for the methods are proved. Results of some numerical experiments with European-type interest rate derivatives are presented.Comment: 48 page

Productivity of Ostriches Fed with Felucen P-2 Feed Supplement

This article presents the results of a study that examined the effect of Felucen P-2 feed supplement on the growth and development, blood parameters and quality of meat of black African ostriches. The experiment was conducted on two groups of ostriches: the first group received the main diet and the second group received Felucen P-2 added to the main diet. It was found that Felucen P-2 was an effective feed supplement which increased the rate of growth and development of young ostriches. For example, at the age of 90 days, ostriches of the first group had a live weight of 19.15 kg, and of the second group - 20.35 kg; at the age of 120 days, the birds of the first group had a live weight of 29.10 kg and of the second group - 32.05 kg; at the age of 150 days, the birds of the first group had a live weight of 40.35 kg and of the second group - 44.95 kg. In addition, from the age of 120 days, the significant live weight gain was observed. During this period, average daily gains were 332-453 g. The insignificant superiority of ostriches of the second group over the first one by the biological value and meat quality was determined. The ash content in ostriches of the second group was 1.1%, and in the first group it was 0.9%; the moisture content was 75.3 and 77.1, respectively; the protein content was 20.9% and 19.1%, respectively; and the fat content was 2.7% and 2.9%, respectively. In general, meat products had high quality and dietary indicators. Keywords: ostriches, Felucen P-2, daily average gain, mea

Раннедревнеболгарский пласт в ростовской служебной минее XIII века (РНБ, F.п.I 37)

The article is dedicated to the linguistic and textual peculiarities of the Festal Menaion F. p. I 37 preserved in Russian National Library (S.-Petersburg) and dated to the beginning of the 13th c. Numerous linguistic features of the manuscript testify to Old West Bulgarian (Old Macedonian) literary usage of the end of the 9th — beginning of the 10th c., on the basis of which the earliest Slavonic hymnographical translations were performed. Despite of such an archaic linguistic and textual layers observed in the manuscript, its calendar, structure and content were influenced by the monastic rite based on the Typicon of Patriarch Alexius the Studite which had been translated and introduced in Kievan Rus' at the second half of the 11th c. The linguistic features of the text version as attested by F. p. I 37 have been compared to the manuscripts testifying to the Alexius the Studite text version. It has been affirmed that adaptation of the Old Bulgarian hymnographic heritage in Kievan Rus' followed the unstable trend to neglect the most remarkable South (and South West) Slavonic lingustic features and aimed at establishing “neutral” over dialectal Church Slavonic literary usage. The significant part of the article contains the edition of the earliest Slavonic, i.e., Old Bulgarian, translation of the Greek kanon Τάφῳ παρθενοδόχῳ dedicated to the Dormition of the Theotokos. The earliest Slavonic translation of this kanon has been preserved in the unique available manuscript, that is F. p. I 37. The publication of the Slavonic translation is supplied with the first critical edition of the Greek source performed on the basis of twelve manuscripts, the linguistic commentary of the Slavonic text, and remarks concerning some metric peculiarities of the original Greek version. DOI: 10.31168/2305-6754.2012.1.1.8The article is dedicated to the linguistic and textual peculiarities of the Festal Menaion F. p. I 37 preserved in Russian National Library (S.-Petersburg) and dated to the beginning of the 13th c. Numerous linguistic features of the manuscript testify to Old West Bulgarian (Old Macedonian) literary usage of the end of the 9th — beginning of the 10th c., on the basis of which the earliest Slavonic hymnographical translations were performed. Despite of such an archaic linguistic and textual layers observed in the manuscript, its calendar, structure and content were influenced by the monastic rite based on the Typicon of Patriarch Alexius the Studite which had been translated and introduced in Kievan Rus' at the second half of the 11th c. The linguistic features of the text version as attested by F. p. I 37 have been compared to the manuscripts testifying to the Alexius the Studite text version. It has been affirmed that adaptation of the Old Bulgarian hymnographic heritage in Kievan Rus' followed the unstable trend to neglect the most remarkable South (and South West) Slavonic lingustic features and aimed at establishing “neutral” over dialectal Church Slavonic literary usage. The significant part of the article contains the edition of the earliest Slavonic, i.e., Old Bulgarian, translation of the Greek kanon Τάφῳ παρθενοδόχῳ dedicated to the Dormition of the Theotokos. The earliest Slavonic translation of this kanon has been preserved in the unique available manuscript, that is F. p. I 37. The publication of the Slavonic translation is supplied with the first critical edition of the Greek source performed on the basis of twelve manuscripts, the linguistic commentary of the Slavonic text, and remarks concerning some metric peculiarities of the original Greek version. DOI: 10.31168/2305-6754.2012.1.1.

Языковые особенности древнейшего списка Учительного евангелия Константина Пресвитера: от восточнославянской рукописи к южнославянскому архетипу

The article is dedicated to the linguistic features of the Didactic Gospel by Constantine the Presbyteros, who is also known as Constantine of Preslav or Constantine of Bregalnica. The earliest witness of the original text, which Constantine wrote down at the end of the 9th century in the First Bulgarian Kingdom, is the Old East Slavonic manuscript dating to the end of the 11th–beginning of the 12th centuries (this manuscript is sometimes dated to a later period). The manuscript is remarkable for its graphic and orthographic features characteristic only for the earliest Church Slavonic sources of East Slavonic provenance; these sources are dated to the 11th century or to the beginning of the 12th century. At the same time, the manuscript attests phonetic innovations caused by the initial stage of the loss of the jer-vowels, such as “new jat’” and the change of e into o. On the basis of the earliest manifestations of the change of e into o in the written sources, the author argues that this phonetic change took place in the southern part of the East Slavonic area and first of all in the prefinal syllable before the final jer in the absolute weak position. Phonetic and orthographic peculiarities of the East Slavonic witness of the Didactic Gospel testify to the southwest Balkan provenance of its South Slavonic protograph, which must have been a Cyrillic one. (On the basis of lexical data, the southwest Balkan origin of Constantine’s archetype was argued by the author elsewhere.) From the point of view of verbal morphology, the earliest witness of the Didactic Gospel seems to be one of the most archaic East Slavonic manuscripts, which is particularly testified by a number of forms of the root aorist. Special attention is devoted to the construction called “relativer Attributivkonnex” (Ch. Koch). It was discovered by scholars in a number of South Slavonic sources or in East Slavonic manuscripts which go back to the South Slavonic tradition, and is to be observed in the Didactic Gospel, too.В статье описываются языковые особенности древневосточнославянского списка Учительного евангелия Константина Пресвитера, позднее — епископа Славянского. Особое внимание обращается на восточнославянские фонетические инновации (“новый ять” и переход е в о), которые соседствуют с такими графико-орфографическими архаизмами, как “этимологически корректное” употребление большого юса и ряд других особенностей, свойственных русско-церковнославянскому книжному узусу XI – начала XII в. В статье доказывается, что древневосточнославянская версия Учительного евангелия восходит к церковнославянской традиции юго-западных регионов Болгарского царства царя Самуила, при этом, судя по ряду южнославянских фонетических особенностей, отражённых в восточнославянском списке, ближайший фрагмент южнославянской традиции датируется концом X или, скорее, XI веком. Грамматические архаизмы, описанные в статье, восходят к оригинальному тексту Константина Пресвитера и поддерживают ранее сделанные выводы о происхождении Учительного евангелия в западных регионах Первого Болгарского царства, что, в свою очередь, подтверждает принадлежность этого текста к богослужебному “корпусу Климента”

Conceptualization of the Notion of «Hybrid Warfare» in Socio-Philosophical Research

The article attempts to conceptualize the notion of “hybrid warfare”, popular in modern political science and philosophy, through analyzing the theories of Frank Hoffman, Michael Hardt and Antonio Negri, and Carl Schmitt. In response to the debates over the appropriateness of using the term “hybrid warfare” and attempts to attribute the quality of “hybridity” to all wars in the history of mankind, the author suggests legitimizing the concept of “hybrid warfare” in relation to the military conflicts of our age. The author proposes that the following elements give the war the quality of hybridity: asymmetry in the use of military and information attacks, transition of warfare from a battlefield to the symbolic order and the large scale of participation of network guerrillas

Wiring surface loss of a superconducting transmon qubit

Quantum processors using superconducting qubits suffer from dielectric loss leading to noise and dissipation. Qubits are usually designed as large capacitor pads connected to a non-linear Josephson junction (or SQUID) by a superconducting thin metal wiring. Here, we report on finite-element simulation and experimental results confirming that more than 50% of surface loss in transmon qubits can originated from Josephson junctions wiring and can limit qubit relaxation time. Extracting dielectric loss tangents capacitor pads and wiring based on their participation ratios, we show dominant surface loss of wiring can occur for real qubits designs. Then, we simulate a qubit coupled to a bath of individual TLS defects and show that only a small fraction (~18%) of coupled defects is located within the wiring interfaces, however, their coupling strength is much higher due to stronger electromagnetic field. Finally, we fabricate six tunable floating transmon qubits and experimentally demonstrate up to 20% improvement in qubit quality factor by wiring design optimization.Comment: 17 pages, 8 figure

От редакции

The year 2016 marked the 1100th anniversary of the passing of St. Clement of Ohrid (July 27, 916). This anniversary has particular significance for research on the heritage of the first Slavic bishop among the South Slavs, because in the last few decades a number of original and translated texts closely connected to his and his supporters’ activities have been discovered and introduced into academic discourse. As a result, the scholarship has undergone fundamental shifts in the assessment of his contribution to the development of the Slavonic liturgy.To gain an overview of the current state of research, the Balkan Cabinet of the Moscow Orthodox Theological Academy, the National Committee of Slavists of the Russian Federation, and the academic journal Slověne jointly organized with the financial support of the Orthodox Cultural and Educational Center “Light of Valaam” an interdisciplinary seminar, “St. Clement of Ohrid and the Formation of the Byzantine-Slavonic Liturgy” (October 19–20, 2015), and brought together scholars from Albania, Bulgaria, Macedonia, Serbia, and Russia. In their contributions, the participants examined various historical, archaeological, linguistic, liturgical, and canonical sources linked to the activity of St. Clement of Ohrid that provide valuable insights into his contribution to the formation and development of the Slavonic liturgy.The present issue consists of the papers based upon the individual contributions to the conference. In some cases, they provide analyses which diverge from the traditional views of the development of the Slavonic liturgy and literature, and thus introduce a number of controversial topics, which are intended to stimulate further investigation.[The ideas expressed in this issue do not necessarily reflect the views of the Editorial Board of this journal.]В 2016 г. исполнилось 1100 лет со времени блаженной кончины святителя Климента Охридского (27 июля 916 г.). Этот юбилей имеет особое значение для изучения наследия Охридского чудотворца, так как за последние десятилетия произошли существенные изменения в представлениях о вкладе свт. Климента и его сподвижников в развитие славянского богослужения, обусловленные выявлением и введением в научный оборот различных оригинальных и переводных богослужебных текстов, непосредственно связанных с их деятельностью.Подводя промежуточные итоги, Балканский кабинет Московской Духовной академии совместно с Национальным комитетом славистов и журналом “Словѣне” организовали и провели при финансовой поддержке Православного культурно-просветительского центра “Свет Валаама” междисциплинарный научный семинар “Святитель Климент Охридский и формирование славянского богослужения византийского обряда” (19–20 октября 2015 г.), в котором приняли участие исследователи из Албании, Болгарии, Македонии, Сербии и России. В их сообщениях были рассмотрены различные археологические, исторические, лингвистические, литургические и канонические источники, связанные с деятельностью первого славянского епископа византийского обряда и характеризующие его вклад в формирование и развитие славянского богослужения.Сообщения, представленные на семинаре, были положены в основу статей, опубликованных в настоящем выпуске журнала. В отдельных случаях рассуждения, содержащиеся в этих статьях, не совпадают с традиционными представлениями о развитии славянской письменности и славянского богослужения и имеют дискуссионный характер, что предполагает их дальнейшее обсуждение.[Опубликованные в данном номере выводы и утверждения разделяются не всеми членами Редколлегии.