Между «сказанием» и «episodes en swift»: о неизвестной рукописи Ильи Тимковского «Записки для истории Малороссии» (1849 г.)

The archive discovery, manuscript «Notes for the history of Malorossia» («Zapiski dla istorii Malorossii») composed by Ilia Fedorovich Timkovskii (Илья Федорович Тимковский, 1773–1853), was initiated by its author in 1849, yet it was never finished. Like the majority of Timkovskii’s compelling written heritage, the «Notes» were overpassed by the researchers, even though such prominent figures in social science as Ilia Fedovorich’s own nephew Mikhail Maksimovich, Nikolai Shugurov, and Vladimir Naumenko wrote about Timkovskii. Unlike his impressive intellectual and social activity that surpassed the boundaries of his professional mandate (as lawyer, educator, literary scholar, etc.), his historiographical image remains fragmented and partial. Specifically, historiography is scarce as to the role Timkovskii played in facilitating the emergence of Ukrainian historical-cultural space, historical consciousness and knowledge, as well as in creating conditions for development of Ukrainian historic writing. Meanwhile, persisting documentary sources from Tikovskii’s archive, along with his egodocuments that were published in the 19th century, allow to fill this void. The structure of this publication is determined by aforementioned historiographical factors and the intent to introduce new historical sources into scholarly practice. This article includes only the first part of the publication. As such, it provides the introduction into the biographic context of the author of the «Notes», and focuses on his vision of the meaning of history and heritage. It follows the evolution of his idea to write a historical composition through the documents, as well as «external» reasons that caused him to stop working on the «Notes». The second part of the publication (in the next issue of Kyivan Academy), along with the original text of «The Notes for the history of Malorossia», will include the analysis of the sociocultural and source study context within which the «Notes» were created, as well as historical views of the author, and the relationship between his memoirs and historical writing

A method for the experimental measurement of bulk and shear loss angles in amorphous thin films

Brownian thermal noise is a limiting factor for the sensitivity of many high precision metrology applications, among other gravitational-wave detectors. The origin of Brownian noise can be traced down to internal friction in the amorphous materials that are used for the high reflection coatings. To properly characterize the internal friction in an amorphous material, one needs to consider separately the bulk and shear losses. In most of previous works the two loss angles were considered equal, although without any first principle motivation. In this work we present a method that can be used to extract the material bulk and shear loss angles, based on current state-of-the-art coating ring-down measurement systems. We also show that for titania-doped tantala, a material commonly used in gravitational-wave detector coatings, the experimental data strongly favor a model with two different and distinct loss angles, over the simpler case of one single loss angle

Балльно-рейтинговая система контроля на кафедре высшей математики и ее эффективность

Some problems of independent mastering some parts of mathematics by students and quality control of acquired knowledge have appeared in connection with change on two level education system. Experience of checking and educating testing programs, electronic teaching materials, electronic teaching aids and electronic curriculum usage in educational process is presented in this work. The analysis of the material usage while independent work has been carried out and recommendations on introduction into educational process of universities have been given.В связи с переходом на двухуровневую систему образования возникли проблемы самостоятельного усвоения студентами некоторых разделов математики и контроля качества полученных ими знаний. В данной работе представлен опыт использования в учебном процессе контрольно-обучающих программ тестирования, электронных учебно-методических комплексов, электронных учебно-методических пособий и электронных учебных курсов. Проведен анализ использования студентами этого материала при самостоятельной подготовке и даны рекомендации по внедрению в учебный процесс вузов

Investigation of effects of assisted ion bombardment on mechanical loss of sputtered tantala thin films for gravitational wave interferometers

Reduction of Brownian thermal noise due to mechanical loss in high-reflectivity mirror coatings is critical for improving the sensitivity of future gravitational wave detectors. In these mirrors, the mechanical loss at room temperature is dominated by the high refractive index component, amorphous tantala (Ta₂O₅) or tantala doped with titania (Ti∶Ta₂O₅). Toward the goal of identifying mechanisms that could alter mechanical loss, this work investigates the use of assist ion bombardment in the reactive ion beam sputtering deposition of tantala single layers. Low-energy assist ion bombardment can enhance adatom diffusion. Low-energy assist Ar⁺ and Xe⁺ ion bombardment at different conditions was implemented during deposition to identify trends in the mechanical loss with ion mass, ion energy, and ion dose. It is shown that the atomic structure and bonding states of the tantala thin films are not significantly modified by low-energy assist ion bombardment. The coatings mechanical loss remains unaltered by ion bombardment within errors. Based on an analysis of surface diffusivity, it is shown that the dominant deposition of tantala clusters and limited surface diffusion length of oxygen atoms constrain structural changes in the tantala films. A slower deposition rate coupled with a significant increase in the dose of the low-energy assist ions may provide more favorable conditions to improve adatom diffusivity

Search for intermediate mass black hole binaries in the first and second observing runs of the Advanced LIGO and Virgo network

Gravitational-wave astronomy has been firmly established with the detection of gravitational waves from the merger of ten stellar-mass binary black holes and a neutron star binary. This paper reports on the all-sky search for gravitational waves from intermediate mass black hole binaries in the first and second observing runs of the Advanced LIGO and Virgo network. The search uses three independent algorithms: two based on matched filtering of the data with waveform templates of gravitational-wave signals from compact binaries, and a third, model-independent algorithm that employs no signal model for the incoming signal. No intermediate mass black hole binary event is detected in this search. Consequently, we place upper limits on the merger rate density for a family of intermediate mass black hole binaries. In particular, we choose sources with total masses M=m1+m2ϵ[120,800] M and mass ratios q=m2/m1ϵ[0.1,1.0]. For the first time, this calculation is done using numerical relativity waveforms (which include higher modes) as models of the real emitted signal. We place a most stringent upper limit of 0.20 Gpc-3 yr-1 (in comoving units at the 90% confidence level) for equal-mass binaries with individual masses m1,2=100 M and dimensionless spins χ1,2=0.8 aligned with the orbital angular momentum of the binary. This improves by a factor of ∼5 that reported after Advanced LIGO's first observing run

All-sky search for short gravitational-wave bursts in the second Advanced LIGO and Advanced Virgo run

We present the results of a search for short-duration gravitational-wave transients in the data from the second observing run of Advanced LIGO and Advanced Virgo. We search for gravitational-wave transients with a duration of milliseconds to approximately one second in the 32-4096 Hz frequency band with minimal assumptions about the signal properties, thus targeting a wide variety of sources. We also perform a matched-filter search for gravitational-wave transients from cosmic string cusps for which the waveform is well modeled. The unmodeled search detected gravitational waves from several binary black hole mergers which have been identified by previous analyses. No other significant events have been found by either the unmodeled search or the cosmic string search. We thus present the search sensitivities for a variety of signal waveforms and report upper limits on the source rate density as a function of the characteristic frequency of the signal. These upper limits are a factor of 3 lower than the first observing run, with a 50% detection probability for gravitational-wave emissions with energies of ∼10-9 Mc2 at 153 Hz. For the search dedicated to cosmic string cusps we consider several loop distribution models, and present updated constraints from the same search done in the first observing run

Search for Eccentric Binary Black Hole Mergers with Advanced LIGO and Advanced Virgo during Their First and Second Observing Runs

When formed through dynamical interactions, stellar-mass binary black holes (BBHs) may retain eccentric orbits (e > 0.1 at 10 Hz) detectable by ground-based gravitational-wave detectors. Eccentricity can therefore be used to differentiate dynamically formed binaries from isolated BBH mergers. Current template-based gravitational-wave searches do not use waveform models associated with eccentric orbits, rendering the search less efficient for eccentric binary systems. Here we present the results of a search for BBH mergers that inspiral in eccentric orbits using data from the first and second observing runs (O1 and O2) of Advanced LIGO and Advanced Virgo. We carried out the search with the coherent WaveBurst algorithm, which uses minimal assumptions on the signal morphology and does not rely on binary waveform templates. We show that it is sensitive to binary mergers with a detection range that is weakly dependent on eccentricity for all bound systems. Our search did not identify any new binary merger candidates. We interpret these results in light of eccentric binary formation models. We rule out formation channels with rates ⪆100 Gpc-3 yr-1 for e > 0.1, assuming a black hole mass spectrum with a power-law index ≲2

Search for gravitational waves from Scorpius X-1 in the second Advanced LIGO observing run with an improved hidden Markov model

We present results from a semicoherent search for continuous gravitational waves from the low-mass X-ray binary Scorpius X-1, using a hidden Markov model (HMM) to track spin wandering. This search improves on previous HMM-based searches of LIGO data by using an improved frequency domain matched filter, the $\mathcal{J}$-statistic, and by analysing data from Advanced LIGO's second observing run. In the frequency range searched, from $60$ to $650\,\mathrm{Hz}$, we find no evidence of gravitational radiation. At $194.6\,\mathrm{Hz}$, the most sensitive search frequency, we report an upper limit on gravitational wave strain (at 95\% confidence) of $h_0^{95\%} = 3.47 \times 10^{-25}$ when marginalising over source inclination angle. This is the most sensitive search for Scorpius X-1, to date, that is specifically designed to be robust in the presence of spin wandering