157 research outputs found
Cohomologies of the Poisson superalgebra
Cohomology spaces of the Poisson superalgebra realized on smooth
Grassmann-valued functions with compact support on ($C^{2n}) are
investigated under suitable continuity restrictions on cochains. The first and
second cohomology spaces in the trivial representation and the zeroth and first
cohomology spaces in the adjoint representation of the Poisson superalgebra are
found for the case of a constant nondegenerate Poisson superbracket for
arbitrary n>0. The third cohomology space in the trivial representation and the
second cohomology space in the adjoint representation of this superalgebra are
found for arbitrary n>1.Comment: Comments: 40 pages, the text to appear in Theor. Math. Phys.
supplemented by computation of the 3-rd trivial cohomolog
ACCURACY EVALUATION OF THE OBJECT LOCATION VISUALIZATION FOR GEO-INFORMATION AND DISPLAY SYSTEMS OF MANNED AIRCRAFTS NAVIGATION COMPLEXES
The paper deals with the issue of accuracy estimating for the object location display in the geographic information systems and display systems of manned aircrafts navigation complexes. Application features of liquid crystal screens with a different number of vertical and horizontal pixels are considered at displaying of geographic information data on different scales. Estimation display of navigation parameters values on board the aircraft is done in two ways: a numeric value is directly displayed on the screen of multi-color indicator, and a silhouette of the object is formed on the screen on a substrate background, which is a graphical representation of area map in the flight zone. Various scales of area digital map display currently used in the aviation industry have been considered. Calculation results of one pixel scale interval, depending on the specifications of liquid crystal screen and zoom of the map display area on the multifunction digital display, are given. The paper contains experimental results of the accuracy evaluation for area position display of the aircraft based on the data from the satellite navigation system and inertial navigation system, obtained during the flight program run of the real object. On the basis of these calculations a family of graphs was created for precision error display of the object reference point position using the onboard indicators with liquid crystal screen with different screen resolutions (6 "×8", 7.2 "×9.6", 9"×12") for two map display scales (1:0 , 25 km, 1-2 km). These dependency graphs can be used both to assess the error value of object area position display in existing navigation systems and to calculate the error value in upgrading facilities
Asymptotic conservation laws in field theory
A new, general, field theoretic approach to the derivation of asymptotic
conservation laws is presented. In this approach asymptotic conservation laws
are constructed directly from the field equations according to a universal
prescription which does not rely upon the existence of Noether identities or
any Lagrangian or Hamiltonian formalisms. The resulting general expressions of
the conservation laws enjoy important invariance properties and synthesize all
known asymptotic conservation laws, such as the ADM energy in general
relativity.Comment: 13 pages, AMS-TeX, amsppt.sty, revised to give a better exposition
(we hope), and to correct some typesetting error
INDUSTRY 4.0 DIGITAL PRODUCTION ORGANIZATION BASED ON CYBER AND PHYSICAL SYSTEMS AND ONTOLOGIES
Subject of Research. The paper proposes the work organization schemes in the Industry 4.0 instrument making production companies of “smart factory” type equipped with cyber and physical systems. Studies on the production cyber-physiphication are being carried out aimed at the development and implementation of ideas and decisions in the domestic industry, which will help to establish “smart companies” in our country capable of functioning in the conditions of digital economy and possessing new production technologies. Method.We used the work organization methods for item design manufacturing with the cyber and physical systems and ontologies implementation in the conditions of the companies of the future on the basis of the design automation general theory. Main Results. It is shown that the effect of the production companies proposed organization principles implementation in the factories of the future format can boost the Russian Federation industry transfer to the most advanced digital, intellectual production technologies, robotized systems, new materials and designing methods that corresponds to the Russian Federation State Scientific and Technical Policy in the field of instrument making and machine manufacturing. Practical Relevance. The results of this research can be applied in the development of automation design algorithms for instrument making (machine manufacturing) digital production operating in the conditions of the Russian Federation digital economy
Analytical solution of second Stokes problem of behaviour of rarefied gas with Cercignani boundary accomodation conditions
Analytical solution of second Stokes problem of behaviour of rarefied gas
with Cercignani boundary accomodation conditions The second Stokes problem
about behaviour of rarefied gas filling half-space is analytically solved. A
plane, limiting half-space, makes harmonious fluctuations in the plane. The
kinetic BGK-equation (Bhatnagar, Gross, Krook) is used. The boundary
accomodation conditions of Cercignani of reflexion gaseous molecules from a
wall are considered. Distribution function of the gaseous molecules is
constructed. The velocity of gas in half-space is found, also its value direct
at a wall is found. The force resistance operating from gas on border is found.
Besides, the capacity of dissipation of the energy falling to unit of area of
the fluctuating plate limiting gas is obtained.Comment: 26 pages, 5 figure
CLINICAL, ANGIOGRAPHIC AND FUNCTIONAL PARAMETERS DETERMINING DECISION TO PERFORM REVASCULARIZATION IN STABLE CORONARY ARTERY DISEASE PATIENTS WITH INTERMEDIATE CORONARY LESIONS
The aim: to study the clinical, angiographic and functional parameters, and their relation to the decision on percutaneous coronary intervention (PCI) in stable coronary artery disease (CAD) patients with intermediate coronary stenoses (ІСS) at patient and lesion levels.
Materials and methods. The cross-sectional study enrolled 123 patients (62±9 years; 73,2 % males) with stable CAD and angiographically ICS (50-90 %). Stable angina CCS class II (CCSII) was diagnosed in 70 (56,9 %) patients, class III (CCSIII) – 29 (23,6 %); 24 (19,5 %) patients were free from angina (Afree). Fractional flow reserve (FFR) was assessed in 74 (60,2 %) patients (min per patient). The hemodynamically significant lesion was considered if FFR ≤0,80 a.u. The decision to perform PCI was undertaken in 93 (76 %) patients. In addition, the functional data from 128 lesions were analyzed.
Results. The CCSIII group was characterized by less frequent previous PCI (21 % vs. 46 % in the pooled group [CCSII + Afree]; р=0,018); the predominance of cases with (max) severe [70-90 %] coronary stenosis (96 % vs. 78 % in CCSII and 54 % in Afree; ptrend<0,001); the lower (min) FFR ([median, quartiles] 0,70 (0,64-0,74) vs. 0,87 (0,81-0,90) in Afree; p˂0,002); and the decision to perform PCI in the vast majority of cases (93 % vs. 79 % in CCSII and 46 % in Afree; ptrend<0,001). The Afree/CCSII/CCSIII groups demonstrated a trend towards a decrease in frequency of cases with (max) [60-69 %] stenosis (38 %, 13 % and none, respectively; ptrend<0,001), and a tendency towards the cases with (max) [80-90 %] stenosis to be more prevalent (29 %, 39 % and 55 %, respectively; ptrend=0,051). The frequency of cases with (max) stenosis [70-79 %] was comparable in the studied groups (Afree/CCSII/CCSIII: 25 %/39 %/41 %, respectively [ptrend=0,240]). At lesion-level, all [80-90 %] lesions (n=28) appeared to be hemodynamically significant. In turn, the [60-69 %] lesions (n=24) included 5 (21 %) significant ones. Finally, the [70-79 %] lesions (n=44) included 28 (64 %) significant and 16 (36 %) non-significant ones.
Conclusions. Among the stable CAD patients with angiographically ICS, those with CCSIII were characterized by less frequent previous PCI, significant decrease in FFR and the decision to perform index PCI in the vast majority of cases. There is a need for more precise diagnosis and assessment of myocardial ischemia in patients with an intermediate pre-test obstructive CAD probability, including the cases of previously performed PCI
Modeling a Two-Stage High-Power Anode Layer Thruster and its Plume
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76625/1/AIAA-22185-240.pd
Study of the process in the c.m. energy range from threshold to 2 GeV with the CMD-3 detector
Using a data sample of 6.8 pb collected with the CMD-3 detector at the
VEPP-2000 collider we select about 2700 events of the process and measure its cross section at 12 energy ponts with about
6\% systematic uncertainty. From the angular distribution of produced nucleons
we obtain the ratio
Twisted convolution and Moyal star product of generalized functions
We consider nuclear function spaces on which the Weyl-Heisenberg group acts
continuously and study the basic properties of the twisted convolution product
of the functions with the dual space elements. The final theorem characterizes
the corresponding algebra of convolution multipliers and shows that it contains
all sufficiently rapidly decreasing functionals in the dual space.
Consequently, we obtain a general description of the Moyal multiplier algebra
of the Fourier-transformed space. The results extend the Weyl symbol calculus
beyond the traditional framework of tempered distributions.Comment: LaTeX, 16 pages, no figure
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