381 research outputs found
Multiple planar coincidences with N-fold symmetry
Planar coincidence site lattices and modules with N-fold symmetry are well
understood in a formulation based on cyclotomic fields, in particular for the
class number one case, where they appear as certain principal ideals in the
corresponding ring of integers. We extend this approach to multiple
coincidences, which apply to triple or multiple junctions. In particular, we
give explicit results for spectral, combinatorial and asymptotic properties in
terms of Dirichlet series generating functions.Comment: 13 pages, two figures. For previous related work see math.MG/0511147
and math.CO/0301021. Minor changes and references update
ΠΡΠ΅Π΄ΠΏΠΎΡΡΠ»ΠΊΠΈ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΏΡΠΎΡΠ²Π΅ΡΠΈΠ²Π°ΡΡΠ΅ΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΉ ΠΌΠΈΠΊΡΠΎΡΠΊΠΎΠΏΠΈΠΈ ΠΊΠ°ΠΊ Π³Π΅ΠΎΡ ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΠΌΠΈΠ³ΡΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΠΌΠΈΠ½Π΅ΡΠ°Π»ΡΠ½ΡΡ ΡΠΎΡΠΌ Π½Π°Π΄ ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄Π½ΡΠΌΠΈ Π·Π°Π»Π΅ΠΆΠ°ΠΌΠΈ
ΠΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π° Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΡΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ Π½Π°Ρ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΌΠΈΠ³ΡΠ°ΡΠΈΠΎΠ½Π½ΡΡ
ΡΠΎΡΠΌ ΠΌΠ΅ΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ Π½Π°Π΄ ΠΊΠΎΠ½ΡΡΡΠ°ΠΌΠΈ ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄Π½ΡΡ
Π·Π°Π»Π΅ΠΆΠ΅ΠΉ Π½Π° ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΠ΅ΠΌΠ»ΠΈ, ΡΠ°ΠΊ ΠΊΠ°ΠΊ ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠ°Ρ Π² Π½Π°ΡΡΠΎΡΡΠ΅Π΅ Π²ΡΠ΅ΠΌΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΎ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ° ΠΌΠ΅ΡΠ°Π»Π»ΠΎΠ² Ρ ΡΡΠΎΠ²Π½Ρ Π·Π°Π»Π΅ΠΆΠΈ Π·Π°ΡΠ°ΡΡΡΡ ΠΏΡΠΎΡΠΈΠ²ΠΎΡΠ΅ΡΠΈΠ²Π°, ΡΡΠΎ ΡΡΠ°Π²ΠΈΡ ΠΏΠΎΠ΄ ΡΠΎΠΌΠ½Π΅Π½ΠΈΠ΅ ΡΠ°ΠΌΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠΈΡΠΊΠΎΠ² ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄Π½ΡΡ
Π·Π°Π»Π΅ΠΆΠ΅ΠΉ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ ΠΎ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠΈ ΠΌΠ΅ΡΠ°Π»Π»ΠΎΠ² Π² ΠΏΡΠΈΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ½ΡΡ
Π³ΠΎΡΠΈΠ·ΠΎΠ½ΡΠ°Ρ
. ΠΠ±ΡΡΠΆΠ΄Π°Π΅ΠΌΠ°Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠ±ΠΎΡΠ° ΠΈ Π°Π½Π°Π»ΠΈΠ·Π° ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΈΠ·ΡΡΠ°ΡΡ Π½Π°Π½ΠΎΡΠ°Π·ΠΌΠ΅ΡΠ½ΡΠ΅ ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠ°Π»Π»ΠΎΠ², ΠΌΠΈΠ³ΡΠΈΡΡΡΡΠΈΡ
Π² ΡΠΎΡΡΠ°Π²Π΅ Π³Π°Π·ΠΎΠ²ΠΎΠ³ΠΎ ΠΏΠΎΡΠΎΠΊΠ° Π΄ΠΎ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΠ΅ΠΌΠ»ΠΈ. ΠΠΎΡΠ²Π»ΡΠ΅ΡΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΈΡ ΠΏΡΠΎΠΈΡΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ Π½Π°ΠΉΠ΄Π΅Π½Π½ΠΎΠ³ΠΎ Π½Π°Π½ΠΎΡΠ°Π·ΠΌΠ΅ΡΠ½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΡ Ρ Π΄ΠΎΠΏΡΡΡΠΈΠΌΠΎΡΡΡΡ Π΄ΠΎΠΊΠ°Π·Π°ΡΡ Π³Π»ΡΠ±ΠΈΠ½Π½ΡΡ ΠΏΡΠΈΡΠΎΠ΄Ρ ΠΏΡΠΎΠΈΡΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ Π²Π΅ΡΠ΅ΡΡΠ²Π°, Π½Π°ΠΉΠ΄Π΅Π½Π½ΠΎΠ³ΠΎ Π½Π° Π΄Π½Π΅Π²Π½ΠΎΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ. Π¦Π΅Π»Ρ ΡΠ°Π±ΠΎΡΡ: ΠΎΠ±Π·ΠΎΡ ΠΈ Π°Π½Π°Π»ΠΈΠ· ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠΈΡ
Π·Π½Π°Π½ΠΈΠΉ ΠΎ Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄Π°Ρ
ΠΏΠΎΠΈΡΠΊΠΎΠ² ΠΌΠ΅ΡΡΠΎΡΠΎΠΆΠ΄Π΅Π½ΠΈΠΉ Π½Π΅ΡΡΠΈ ΠΈ Π³Π°Π·Π°; ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ Π½ΠΎΠ²ΠΎΠΉ Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ, ΡΠ²ΡΠ·Π°Π½Π½ΠΎΠΉ Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² Π½Π° ΠΏΡΠΎΡΠ²Π΅ΡΠΈΠ²Π°ΡΡΠ΅ΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΌ ΠΌΠΈΠΊΡΠΎΡΠΊΠΎΠΏΠ΅, Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡΡ ΡΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΈΡ ΡΠ°ΡΡΠΈΡ Π² Π½Π°Π½ΠΎΡΠ°Π·ΠΌΠ΅ΡΠ½ΠΎΠΌ ΡΠΎΡΡΠΎΡΠ½ΠΈΠΈ. ΠΠ΅ΡΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ: Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ ΠΏΠΎΠΈΡΠΊΠ° ΠΈ ΡΠ°Π·Π²Π΅Π΄ΠΊΠΈ ΠΌΠ΅ΡΡΠΎΡΠΎΠΆΠ΄Π΅Π½ΠΈΠΉ Π½Π΅ΡΡΠΈ ΠΈ Π³Π°Π·Π°, ΠΏΡΠΎΡΠ²Π΅ΡΠΈΠ²Π°ΡΡΠ°Ρ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½Π°Ρ ΠΌΠΈΠΊΡΠΎΡΠΊΠΎΠΏΠΈΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½ ΠΎΠ±Π·ΠΎΡ ΠΈ Π°Π½Π°Π»ΠΈΠ· Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ Π½Π° ΡΠ΅ΠΌΡ Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΏΠΎΠΈΡΠΊΠΎΠ² Π·Π°Π»Π΅ΠΆΠ΅ΠΉ Π½Π΅ΡΡΠΈ ΠΈ Π³Π°Π·Π°, ΠΏΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ Π·Π°ΠΊΠΎΠ½ΠΎΠΌΠ΅ΡΠ½ΠΎΡΡΠΈ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠ΅ΠΉ Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠ»Π΅ΠΉ Π½Π°Π΄ ΠΌΠ΅ΡΡΠΎΡΠΎΠΆΠ΄Π΅Π½ΠΈΡΠΌΠΈ Π½Π΅ΡΡΠΈ ΠΈ Π³Π°Π·Π° ΠΠ°ΠΏΠ°Π΄Π½ΠΎ-Π‘ΠΈΠ±ΠΈΡΡΠΊΠΎΠΉ Π½Π΅ΡΡΠ΅Π³Π°Π·ΠΎΠ½ΠΎΡΠ½ΠΎΠΉ ΠΏΡΠΎΠ²ΠΈΠ½ΡΠΈΠΈ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π° Π½ΠΎΠ²Π°Ρ Π³Π΅ΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΠΏΠΎΠΈΡΠΊΠΎΠ² ΠΈ ΡΠ°Π·Π²Π΅Π΄ΠΊΠΈ, ΠΊΠΎΡΠΎΡΠ°Ρ ΡΠΏΠΎΡΠΎΠ±Π½Π° Π²ΡΡΠ²Π»ΡΡΡ ΠΌΠΈΠ½Π΅ΡΠ°Π»ΡΠ½ΡΠ΅ ΡΠΎΡΠΌΡ Π½Π°Ρ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ² Π² Π½Π°Π½ΠΎΡΠ°Π·ΠΌΠ΅ΡΠ½ΠΎΠΌ ΡΠΎΡΡΠΎΡΠ½ΠΈΠΈ Π½Π° ΠΏΡΠΎΡΠ²Π΅ΡΠΈΠ²Π°ΡΡΠ΅ΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΌ ΠΌΠΈΠΊΡΠΎΡΠΊΠΎΠΏΠ΅, Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ Π½Π°Ρ
ΠΎΠ΄ΠΈΡΡ ΠΈ ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΡΠΈΡΠΎΠ²Π°ΡΡ ΠΌΠΈΠ³ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠ΅ ΠΌΠ΅ΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΡ.The relevance of the discussed issue is caused by the necessity to develop the technique for finding and identifying metal compounds migration forms over the boundaries of hydrocarbon deposits on the Earth surface. The existing information on possibility of metal transfer from the level of deposits is often contradictory and it can cast doubt on the possibility of geochemical prospecting of hydrocarbon deposits on the basis of information on metal content in the subsurface horizons. The technique of collection and analysis allows us to study nanoscale metal compounds migrating as a part of gas flow to the Earth surface. It becomes possible to determine the origin of nanoscale metal compounds with the ability to prove the genesis of the deep nature of the substance found on the surface. The main aim of the research is to review and to analyze the existing knowledge on geochemical methods of prospecting for oil and gas; to model a new geochemical method associated with the study of samples on a transmission electron microscope for identifying nanoscale particles. The methods used in the study: geochemistry methods of prospecting and exploration of oil and gas fields, transmission electron microscopy. The results of the research. The authors have reviewed and analyzed the literature on geochemical methods to search for oil and gas deposits and analyzed the patterns of geochemical features and magnetic fields on deposits of the West Siberian oil and gas province. The paper introduces a new prospecting and exploration geochemical and magnetic technique which can help identify nanoscale mineral forms of chemical elements with a transmission electron microscope, in particular find and identify migration metal compounds
Domain Rearrangement and Denaturation in Ebola Virus Protein VP40
The VP40 protein plays a critical role in coordinating the virion assembly, budding, and replication of the Ebola virus. Efforts have been made in recent years to understand various aspects of VP40 structure, dynamics, and function such as assembly of the protein and its roles in virus replication and penetration of the protein into the plasma membrane. A major conformational transformation is necessary for VP40 to form some of its oligomeric structures and to perform various functions. This conformational change from a compact structure with the N-terminal domain (NTD) and C-terminal domain (CTD) closely associated involves a dissociation or springing-out of the CTD from the NTD. We perform investigations using computational molecular dynamics simulations as well as knowledge-based Monte Carlo simulations. We find that a sharp springing of the CTD from the NTD in a free VP40 protein cannot occur solely by random thermal fluctuations without intermediate oligomerized segments, and therefore is likely triggered by additional molecular events
Evolution of grain boundary network topology in 316L austenitic stainless steel during powder hot isostatic pressing
The grain boundary network evolution of 316L austenitic steel powder during its densification by hot isostatic pressing (HIPing) was investigated. While the as-received powder contained a network of random high angle grain boundaries, the fully consolidated specimen had a large fraction of annealing twins, indicating that during densification, the microstructure evolves via recrystallization. By interrupting the HIPing process at different points in time, microstructural changes were tracked quantitatively at every stage using twin boundary fractions, distribution of different types of triple junctions, and the parameters associated with twin related domains (TRDs). Results revealed that, with increase in temperature, (i) the fraction of annealing twins increased steadily, but they mostly were not part of the grain boundary network in the fully consolidated specimen and (ii) the average number of grains within a TRD, the length of longest chain, and twinning polysynthetism increased during HIPing and (iii) the powder characteristics and the HIPing parameters have a strong influence on the development of grain boundary network. Based on the results obtained, possible alterations to the HIPing process are discussed, which could potentially allow twin induced grain boundary engineering
Magnetic metamaterials in the blue range using aluminum nanostructures
We report an experimental and theoretical study of the optical properties of
two-dimensional arrays of aluminum nanoparticle in-tandem pairs. Plasmon
resonances and effective optical constants of these structures are investigated
and strong magnetic response as well as negative permeability are observed down
to 400 nm wavelength. Theoretical calculations based on the finite-difference
time-domain method are performed for various particle dimensions and lattice
parameters, and are found to be in good agreement with the experimental
results. The results show that metamaterials operating across the whole visible
wavelength range are feasible.Comment: 3 pages, 4 figure
Multiscale multiphysics model for hydrogen embrittlement in polycrystalline nickel
RΓ©fΓ©rence bibliographique : Rol, 102487Appartient Γ lβensemble documentaire : Pho20RolAppartient Γ lβensemble documentaire : PACA1Image de press
An endogenous peptide marker differentiates SOD1 stability and facilitates pharmacodynamic monitoring in SOD1 amyotrophic lateral sclerosis
The discovery of novel biomarkers has emerged as a critical need for therapeutic development in amyotrophic lateral sclerosis (ALS). For some subsets of ALS, such as the genetic superoxide dismutase 1 (SOD1) form, exciting new treatment strategies, such as antisense oligonucleotide-mediated (ASO-mediated) SOD1 silencing, are being tested in clinical trials, so the identification of pharmacodynamic biomarkers for therapeutic monitoring is essential. We identify increased levels of a 7-amino acid endogenous peptide of SOD1 in cerebrospinal fluid (CSF) of human SOD1 mutation carriers but not in other neurological cases or nondiseased controls. Levels of peptide elevation vary based on the specific SOD1 mutation (ranging from 1.1-fold greater than control in D90A to nearly 30-fold greater in V148G) and correlate with previously published measurements of SOD1 stability. Using a mass spectrometry-based method (liquid chromatography-mass spectrometry), we quantified peptides in both extracellular samples (CSF) and intracellular samples (spinal cord from rat) to demonstrate that the peptide distinguishes mutation-specific differences in intracellular SOD1 degradation. Furthermore, 80% and 63% reductions of the peptide were measured in SOD1G93A and SOD1H46R rat CSF samples, respectively, following treatment with ASO, with an improved correlation to mRNA levels in spinal cords compared with the ELISA measuring intact SOD1 protein. These data demonstrate the potential of this peptide as a pharmacodynamic biomarker
Residual stress, strain and faults in nanocrystalline palladium and copper
Nanocrystalline Pd and Cu, prepared by inert gas condensation and warm compaction, were studied using x-ray diffraction techniques. A sample of Cu with sub-micrometer grain size produced by severe plastic deformation was also examined. The Warren-Averbach technique was used to separate the line broadening due to grain size, root-mean-squared strain, and faults. Peak shifts and asymmetry were used to determine the long range surface stresses, stacking fault probability, and twin probability. The Young`s modulus of a Pd sample was determined by an ultrasonic technique, and compared with the coarse-grained, fully-dense value
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