140 research outputs found
Cutting the same fraction of several measures
We study some measure partition problems: Cut the same positive fraction of
measures in with a hyperplane or find a convex subset of
on which given measures have the same prescribed value. For
both problems positive answers are given under some additional assumptions.Comment: 7 pages 2 figure
Graphene as a quantum surface with curvature-strain preserving dynamics
We discuss how the curvature and the strain density of the atomic lattice
generate the quantization of graphene sheets as well as the dynamics of
geometric quasiparticles propagating along the constant curvature/strain
levels. The internal kinetic momentum of Riemannian oriented surface (a vector
field preserving the Gaussian curvature and the area) is determined.Comment: 13p, minor correction
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
Cotangent bundle quantization: Entangling of metric and magnetic field
For manifolds of noncompact type endowed with an affine connection
(for example, the Levi-Civita connection) and a closed 2-form (magnetic field)
we define a Hilbert algebra structure in the space and
construct an irreducible representation of this algebra in . This
algebra is automatically extended to polynomial in momenta functions and
distributions. Under some natural conditions this algebra is unique. The
non-commutative product over is given by an explicit integral
formula. This product is exact (not formal) and is expressed in invariant
geometrical terms. Our analysis reveals this product has a front, which is
described in terms of geodesic triangles in . The quantization of
-functions induces a family of symplectic reflections in
and generates a magneto-geodesic connection on . This
symplectic connection entangles, on the phase space level, the original affine
structure on and the magnetic field. In the classical approximation,
the -part of the quantum product contains the Ricci curvature of
and a magneto-geodesic coupling tensor.Comment: Latex, 38 pages, 5 figures, minor correction
Study of the Fast X-Ray Transient XTE J1901+014 Based on INTEGRAL, RXTE and ROSAT Data
The source XTE J1901+014 discovered by the RXTE observatory during an intense
outburst of hard radiation and classified as a fast X-ray transient is studied.
The source's spectral characteristics in the quiescent state have been
investigated for the first time both in the soft X-ray energy range (0.6-20
keV) based on ROSAT and RXTE data and in the hard energy range (>20 keV) based
on INTEGRAL data. A timing analysis of the source's properties has revealed
weak nonperiodic bursts of activity on time scales of several tens of seconds
and two intense (0.5-1 Crab) outbursts more than several hundred seconds
in duration. Certain assumptions about the nature of the object under study are
made.Comment: 19 pages, 7 figure
Degenerate Odd Poisson Bracket on Grassmann Variables
A linear degenerate odd Poisson bracket (antibracket) realized solely on
Grassmann variables is presented. It is revealed that this bracket has at once
three nilpotent -like differential operators of the first, the second
and the third orders with respect to the Grassmann derivatives. It is shown
that these -like operators together with the Grassmann-odd nilpotent
Casimir function of this bracket form a finite-dimensional Lie superalgebra.Comment: 5 pages, LATEX. Corrections of misprints. The relation (23) is adde
The Lie algebroid Poisson sigma model
The Poisson--Weil sigma model, worked out by us recently, stems from gauging
a Hamiltonian Lie group symmetry of the target space of the Poisson sigma
model. Upon gauge fixing of the BV master action, it yields interesting
topological field theories such as the 2--dimensional Donaldson-Witten
topological gauge theory and the gauged A topological sigma model. In this
paper, generalizing the above construction, we construct the Lie algebroid
Poisson sigma model. This is yielded by gauging a Hamiltonian Lie groupoid
symmetry of the Poisson sigma model target space. We use the BV quantization
approach in the AKSZ geometrical version to ensure consistent quantization and
target space covariance. The model has an extremely rich geometry and an
intricate BV cohomology, which are studied in detail.Comment: 52 pages, Late
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Assessing Potato Psyllid Haplotypes in Potato Crops in the Pacific Northwestern United States
The potato psyllid, Bactericera cockerelli (Ε ulc), is
a vector of the bacterium βCandidatus Liberibacter
solanacearumβ (Lso) that has been linked to the economically
devastating zebra chip disease of potato. To date, four haplotypes
of the potato psyllid have been identified and include
Central, Western, Northwestern, and Southwestern haplotypes.
Zebra chip was reported in potato crops in the Pacific
Northwestern United States for the first time in 2011, and the
Lso-infected psyllids collected from zebra chip-affected fields
were identified as the Western haplotype. Additional studies
have reported a mix of the Western and Northwestern psyllid
haplotypes in the Pacific Northwest. The present study further
examined psyllid population dynamics over the duration of
the 2012 potato season in the Pacific Northwest by haplotype
analysis of 864 potato psyllids collected from potato fields in
Washington, Oregon, and Idaho. In the Yakima Valley of
Washington and the lower Columbia Basin of Washington
and Oregon, the Northwestern haplotype was predominant
(78%), and was detected earlier in the season than the
Western haplotype. Interestingly, in south-central Idaho, all
four psyllid haplotypes were identified, but the predominant
haplotype was the Western haplotype (77%). Here,
Northwestern psyllids were detected early in the season from
June to mid-August, whereas Central psyllidswere detected in
late July and thereafter. These results suggest that haplotype
composition of psyllid populations in potato fields throughout
the 2012 growing season in south-central Idaho differed greatly
from those in Washington and Oregon. Additionally, all
psyllids were analyzed for the presence of Lso, and no Lso-positive
psyllids were found in Washington and Oregon,
whereas Lso-positive psyllids were found in south-central
Idaho. These Lso-positive psyllids consisted of the Western,
Northwestern, and Central haplotypes
ΠΠ»ΠΈΠ½ΠΈΠΊΠΎ-ΡΠΏΠΈΠ΄Π΅ΠΌΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ ΠΌΠ΅Π½ΠΈΠ½Π³ΠΎΠΊΠΎΠΊΠΊΠΎΠ²ΠΎΠΈΜ ΠΈΠ½ΡΠ΅ΠΊΡΠΈΠΈ Ρ Π΄Π΅ΡΠ΅ΠΈΜ Π² ΠΏΠ΅ΡΠΈΠΎΠ΄ ΡΠΏΠΎΡΠ°Π΄ΠΈΡΠ΅ΡΠΊΠΎΠΈΜ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π΅ΠΌΠΎΡΡΠΈ
Purpose: to evaluate epidemiologic situation as to meningococcal infection and reveal clinical-epidemiological features of the disease on the territory of Krasnoyarsk Ρity and Krasnoyarsk Krai at the present stage.Β Data and methods: The research gives the analysis of MI morbidity and mortality rates in children of the region according to official information from the Federal Service for Supervision of Consumer Rights Protection and Human Welfare in Krasnoyarsk Krai for the period 2000β2014. The work studies clinical and epidemiological features of the disease in 53 patients with the generalized form of meningococcal infection (GFMI) who were treated in the infectious disease department of the Regional Interdistrict Childrenβs Clinical Hospital of Krasnoyarsk for the period 2010β2014.Β Results: The epidemiological situation as to MI in Krasnoyarsk for the period 2000-2013 years is characterized by the signs of interepidemic period with morbidity rises in the winter-spring period. Children from 1 year to 3 years (54,7%) prevail over all MI diseased. The number of children in the first year of life decreased almost two times (from 40% to 20,7%). At the same time the proportion of children older than 4 years increased. The leading serotype among laboratory-confirmed cases of MI in Krasnoyarsk Krai is still the B group meningitis (64,7%).Β Conclusion: On the territory of Krasnoyarsk Krai the MI morbidity is sporadic. The generalized forms of meningococcal infection are characterized by early overt symptoms which make it possible to set a diagnosis. The clinical picture of the generalized forms of the disease almost did not change significantly.Β Π¦Π΅Π»Ρ: ΠΎΡΠ΅Π½ΠΈΡΡ ΡΠΏΠΈΠ΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΡΡ ΡΠΈΡΡΠ°ΡΠΈΡ ΠΏΠΎ ΠΠ ΠΈ Π²ΡΡΠ²ΠΈΡΡ ΠΊΠ»ΠΈΠ½ΠΈΠΊΠΎ-ΡΠΏΠΈΠ΄Π΅ΠΌΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ Π½Π° ΡΠ΅ΡΡΠΈΡΠΎΡΠΈΠΈ Π³. ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠ° ΠΈ ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠΎΠ³ΠΎ ΠΊΡΠ°Ρ Π½Π° ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΌ ΡΡΠ°ΠΏΠ΅.Β ΠΠ°ΡΠ΅ΡΠΈΠ°Π»Ρ ΠΈ ΠΌΠ΅ΡΠΎΠ΄Ρ: ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΈΜ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π΅ΠΌΠΎΡΡΠΈ ΠΈ Π»Π΅ΡΠ°Π»ΡΠ½ΠΎΡΡΠΈ ΠΎΡ ΠΠ Ρ Π΄Π΅ΡΠ΅ΠΈΜ ΡΠ΅Π³ΠΈΠΎΠ½Π° ΡΠΎΠ³Π»Π°ΡΠ½ΠΎ ΠΎΡΠΈΡΠΈΠ°Π»ΡΠ½ΡΠΌ Π΄Π°Π½Π½ΡΠΌ Π£ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ Π€Π΅Π΄Π΅ΡΠ°Π»ΡΠ½ΠΎΠΈΜ ΡΠ»ΡΠΆΠ±Ρ ΠΏΠΎ Π½Π°Π΄Π·ΠΎΡΡ Π² ΡΡΠ΅ΡΠ΅ Π·Π°ΡΠΈΡΡ ΠΏΡΠ°Π² ΠΏΠΎΡΡΠ΅Π±ΠΈΡΠ΅Π»Π΅ΠΈΜ ΠΈ Π±Π»Π°Π³ΠΎΠΏΠΎΠ»ΡΡΠΈΡ ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ° ΠΏΠΎ ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠΎΠΌΡ ΠΊΡΠ°Ρ Π·Π° ΠΏΠ΅ΡΠΈΠΎΠ΄ 2000β2014 Π³Π³. ΠΠ·ΡΡΠ΅Π½Ρ ΠΊΠ»ΠΈΠ½ΠΈΠΊΠΎ-ΡΠΏΠΈΠ΄Π΅ΠΌΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ Ρ 53 Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΠ€ΠΠ, Π½Π°Ρ
ΠΎΠ΄ΠΈΠ²ΡΠΈΡ
ΡΡ Π½Π° Π»Π΅ΡΠ΅Π½ΠΈΠΈ Π² ΠΈΠ½ΡΠ΅ΠΊΡΠΈΠΎΠ½Π½ΠΎΠΌ ΠΎΡΠ΄Π΅Π»Π΅Π½ΠΈΠΈ ΠΡΠ°Π΅Π²ΠΎΠΈΜ ΠΌΠ΅ΠΆΡΠ°ΠΈΜΠΎΠ½Π½ΠΎΠΈΜ Π΄Π΅ΡΡΠΊΠΎΠΈΜ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΎΠΈΜ Π±ΠΎΠ»ΡΠ½ΠΈΡΡ Π³. ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠ° Π·Π° ΠΏΠ΅ΡΠΈΠΎΠ΄ 2010β2014 Π³Π³.Β Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ: ΠΠΏΠΈΠ΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠΈΡΡΠ°ΡΠΈΡ ΠΏΠΎ ΠΠ Π² Π³. ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠ΅ Π·Π° ΠΏΠ΅ΡΠΈΠΎΠ΄ 2000β2014 Π³Π³. Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΠ·ΡΠ΅ΡΡΡ ΠΏΡΠΈΠ·Π½Π°ΠΊΠ°ΠΌΠΈ ΠΌΠ΅ΠΆΡΠΏΠΈΠ΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΠ΅ΡΠΈΠΎΠ΄Π° Ρ ΠΏΠΎΠ΄ΡΠ΅ΠΌΠ°ΠΌΠΈ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π΅ΠΌΠΎΡΡΠΈ Π² Π·ΠΈΠΌΠ½Π΅-Π²Π΅ΡΠ΅Π½Π½ΠΈΠΈΜ ΠΏΠ΅ΡΠΈΠΎΠ΄. Π‘ΡΠ΅Π΄ΠΈ Π·Π°Π±ΠΎΠ»Π΅Π²ΡΠΈΡ
ΠΠ ΠΏΡΠ΅ΠΎΠ±Π»Π°Π΄Π°ΡΡ Π΄Π΅ΡΠΈ Π² Π²ΠΎΠ·ΡΠ°ΡΡΠ΅ ΠΎΡ 1 Π΄ΠΎ 3 Π»Π΅Ρ (54,7%), ΠΏΠΎΡΡΠΈ Π² 2 ΡΠ°Π·Π° (Ρ 40% Π΄ΠΎ 20,7%) ΡΠΌΠ΅Π½ΡΡΠΈΠ»ΠΎΡΡ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ Π΄Π΅ΡΠ΅ΠΈΜ ΠΏΠ΅ΡΠ²ΠΎΠ³ΠΎ Π³ΠΎΠ΄Π° ΠΆΠΈΠ·Π½ΠΈ, Π² ΡΠΎ ΠΆΠ΅ Π²ΡΠ΅ΠΌΡ ΡΠ²Π΅Π»ΠΈΡΠΈΠ»ΡΡ ΡΠ΄Π΅Π»ΡΠ½ΡΠΈΜ Π²Π΅Ρ Π΄Π΅ΡΠ΅ΠΈΜ ΡΡΠ°ΡΡΠ΅ 4 Π»Π΅Ρ. ΠΠΈΠ΄ΠΈΡΡΡΡΠΈΠΌ ΡΠ΅ΡΠΎΡΠΈΠΏΠΎΠΌ ΡΡΠ΅Π΄ΠΈ Π»Π°Π±ΠΎΡΠ°ΡΠΎΡΠ½ΠΎ ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΡΠ»ΡΡΠ°Π΅Π² ΠΠ Π² ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠΎΠΌ ΠΊΡΠ°Π΅ ΠΏΠΎ-ΠΏΡΠ΅ΠΆΠ½Π΅ΠΌΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΌΠ΅Π½ΠΈΠ½Π³ΠΎΠΊΠΎΠΊΠΊ Π³ΡΡΠΏΠΏΡ Π (64,7%).Β ΠΠ°ΠΊΠ»ΡΡΠ΅Π½ΠΈΠ΅: Π½Π° ΡΠ΅ΡΡΠΈΡΠΎΡΠΈΠΈ ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠΎΠ³ΠΎ ΠΊΡΠ°Ρ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π΅ΠΌΠΎΡΡΡ ΠΌΠ΅Π½ΠΈΠ½Π³ΠΎΠΊΠΎΠΊΠΊΠΎΠ²ΠΎΠΈΜ ΠΈΠ½ΡΠ΅ΠΊΡΠΈΠ΅ΠΈΜ Π½ΠΎΡΠΈΡ ΡΠΏΠΎΡΠ°Π΄ΠΈΡΠ΅ΡΠΊΠΈΠΈΜ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ. ΠΡΠΈ Π³Π΅Π½Π΅ΡΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΡ
ΡΠΎΡΠΌΠ°Ρ
ΠΌΠ΅Π½ΠΈΠ½Π³ΠΎΠΊΠΎΠΊΠΊΠΎΠ²ΠΎΠΈΜ ΠΈΠ½ΡΠ΅ΠΊΡΠΈΠΈ ΡΠ°Π½ΠΎ ΠΏΠΎΡΠ²Π»ΡΡΡΡΡ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠ½ΡΠ΅ ΠΌΠ°Π½ΠΈΡΠ΅ΡΡΠ½ΡΠ΅ ΡΠΈΠΌΠΏΡΠΎΠΌΡ, Π½Π°Π»ΠΈΡΠΈΠ΅ ΠΊΠΎΡΠΎΡΡΡ
ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΏΠΎΡΡΠ°Π²ΠΈΡΡ Π΄ΠΈΠ°Π³Π½ΠΎΠ·, ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΊΠ°ΡΡΠΈΠ½Π° Π³Π΅Π½Π΅ΡΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΡ
ΡΠΎΡΠΌ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈ Π½Π΅ ΠΏΡΠ΅ΡΠ΅ΡΠΏΠ΅Π»Π° ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈΜ.
- β¦