199 research outputs found
ΠΠ³Π΅Π½ΡΠ½ΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ ΠΏΠΎΠ΄Ρ ΠΎΠ΄ ΠΊ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π»ΠΎΠ³ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΡ Π·Π°Π΄Π°Ρ Π΄ΠΈΡΠΏΠ΅ΡΡΠ΅ΡΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΡ ΠΏΠΎΡΠΎΠΊΠΎΠ²
Π Π΄Π°Π½ΡΠΉ ΡΠΎΠ±ΠΎΡΡ ΡΠΎΠ·Π³Π»ΡΠ΄Π°ΡΡΡΡΡ ΠΊΠ»Π°Ρ Π»ΠΎΠ³ΡΡΡΠΈΡΠ½ΠΈΡ
Π·Π°Π΄Π°Ρ Π΄ΠΈΡΠΏΠ΅ΡΡΠ΅ΡΠΈΠ·Π°ΡΡΡ ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΡΠ½ΠΈΡ
ΠΏΠΎΡΠΎΠΊΡΠ². ΠΠ°Π½ΠΈΠΉ ΠΊΠ»Π°Ρ Π·Π°Π΄Π°Ρ ΠΌΠ°Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈ Π²ΠΈΡΡΡΠ΅Π½Π½Ρ ΡΠ· Π·Π°ΡΡΠΎΡΡΠ²Π°Π½Π½ΡΠΌ Π²Π΅Π»ΠΈΠΊΠΎΡ ΠΊΡΠ»ΡΠΊΠΎΡΡΡ ΠΏΡΠ΄Ρ
ΠΎΠ΄ΡΠ² Π· Π·Π°Π»ΡΡΠ΅Π½Π½ΡΠΌ Π·Π½Π°Π½Ρ ΡΠ· ΡΡΠ·Π½ΠΈΡ
ΠΎΠ±Π»Π°ΡΡΠ΅ΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ Π΄Π»Ρ ΠΏΠΎΠ±ΡΠ΄ΠΎΠ²ΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ Π»ΠΎΠ³ΡΡΡΠΈΡΠ½ΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ. ΠΠ°Π½Π° ΡΠΎΠ±ΠΎΡΠ° ΠΏΡΠΎΠΏΠΎΠ½ΡΡ Ρ ΠΎΠ±Π³ΡΡΠ½ΡΠΎΠ²ΡΡ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ Π½ΠΎΠ²ΡΡΠ½ΡΠΎΠ³ΠΎ Π°Π³Π΅Π½ΡΠ½ΠΎ-ΠΎΡΡΡΠ½ΡΠΎΠ²Π°Π½ΠΎΠ³ΠΎ ΠΏΡΠ΄Ρ
ΠΎΠ΄Ρ Π΄Π»Ρ Π²ΠΈΡΡΡΠ΅Π½Π½Ρ Π²ΠΊΠ°Π·Π°Π½ΠΎΠ³ΠΎ ΡΠΈΠΏΡ Π·Π°Π΄Π°Ρ, Π²ΠΏΠ΅ΡΡΠ΅ Π·Π°ΠΏΡΠΎΠΏΠΎΠ½ΠΎΠ²Π°Π½ΠΎΠ³ΠΎ Π΄Π»Ρ Π²ΠΈΡΡΡΠ΅Π½Π½Ρ Π·Π°Π΄Π°Ρ ΠΏΠΎΠ±ΡΠ΄ΠΎΠ²ΠΈ Π΅ΠΊΡΠΏΠ΅ΡΡΠ½ΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ ΠΏΡΠ΄ΡΡΠΈΠΌΠΊΠΈ ΠΏΡΠΈΠΉΠ½ΡΡΡΡ ΡΡΡΠ΅Π½Ρ ΡΠ° ΡΡΡΡΠ½ΠΎΠ³ΠΎ ΡΠ½ΡΠ΅Π»Π΅ΠΊΡΡ.The article discusses class of problems related to material flows dispatching logistic. This class of problems has solutions that involve large quantity of approaches and methods taken from different branches of mathematics for creating models of studied systems. Current work offers using modern agent-oriented approach to solving such kind of engineering problems that was firstly used for creating expert decision making support systems and solving artificial intelligence problems.Π Π΄Π°Π½Π½ΠΎΠΉ ΡΠ°Π±ΠΎΡΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΠΊΠ»Π°ΡΡ Π»ΠΎΠ³ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π·Π°Π΄Π°Ρ Π΄ΠΈΡΠΏΠ΅ΡΡΠ΅ΡΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΡ
ΠΏΠΎΡΠΎΠΊΠΎΠ². ΠΠ°Π½Π½ΡΠΉ ΠΊΠ»Π°ΡΡ Π·Π°Π΄Π°Ρ ΠΈΠΌΠ΅Π΅Ρ ΠΌΠ΅ΡΠΎΠ΄Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ΠΌ Π±ΠΎΠ»ΡΡΠΎΠ³ΠΎ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²Π° ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ΠΎΠ² Ρ ΠΏΡΠΈΠ²Π»Π΅ΡΠ΅Π½ΠΈΠ΅ΠΌ Π·Π½Π°Π½ΠΈΠΉ ΠΈΠ· ΡΠ°Π·Π½ΡΡ
ΠΎΠ±Π»Π°ΡΡΠ΅ΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ, ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΠΌΡΡ
Π΄Π»Ρ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ Π»ΠΎΠ³ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ. Π Π΄Π°Π½Π½ΠΎΠΉ ΡΠ°Π±ΠΎΡΠ΅ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ ΠΈ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ Π½ΠΎΠ²ΠΎΠ³ΠΎ Π°Π³Π΅Π½ΡΠ½ΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Π° Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΊΠ°Π·Π°Π½Π½ΠΎΠ³ΠΎ ΡΠΈΠΏΠ° Π·Π°Π΄Π°Ρ, Π²ΠΏΠ΅ΡΠ²ΡΠ΅ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΡΠΊΡΠΏΠ΅ΡΡΠ½ΡΡ
ΡΠΈΡΡΠ΅ΠΌ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠΈ ΠΏΡΠΈΠ½ΡΡΠΈΡ ΡΠ΅ΡΠ΅Π½ΠΈΠΉ ΠΈ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΈΠ½ΡΠ΅Π»Π»Π΅ΠΊΡΠ°
On the Hyperbolicity of Lorenz Renormalization
We consider infinitely renormalizable Lorenz maps with real critical exponent
and combinatorial type which is monotone and satisfies a long return
condition. For these combinatorial types we prove the existence of periodic
points of the renormalization operator, and that each map in the limit set of
renormalization has an associated unstable manifold. An unstable manifold
defines a family of Lorenz maps and we prove that each infinitely
renormalizable combinatorial type (satisfying the above conditions) has a
unique representative within such a family. We also prove that each infinitely
renormalizable map has no wandering intervals and that the closure of the
forward orbits of its critical values is a Cantor attractor of measure zero.Comment: 63 pages; 10 figure
Dynamics of the Universal Area-Preserving Map Associated with Period Doubling: Hyperbolic Sets
It is known that the famous Feigenbaum-Coullet-Tresser period doubling
universality has a counterpart for area-preserving maps of {\fR}^2. A
renormalization approach has been used in \cite{EKW1} and \cite{EKW2} in a
computer-assisted proof of existence of a "universal" area-preserving map
-- a map with orbits of all binary periods 2^k, k \in \fN. In this paper, we
consider maps in some neighbourhood of and study their dynamics.
We first demonstrate that the map admits a "bi-infinite heteroclinic
tangle": a sequence of periodic points , k \in \fZ, |z_k|
\converge{{k \to \infty}} 0, \quad |z_k| \converge{{k \to -\infty}} \infty,
whose stable and unstable manifolds intersect transversally; and, for any N
\in \fN, a compact invariant set on which is homeomorphic to a
topological Markov chain on the space of all two-sided sequences composed of
symbols. A corollary of these results is the existence of {\it unbounded}
and {\it oscillating} orbits.
We also show that the third iterate for all maps close to admits a
horseshoe. We use distortion tools to provide rigorous bounds on the Hausdorff
dimension of the associated locally maximal invariant hyperbolic set: 0.7673
\ge {\rm dim}_H(\cC_F) \ge \varepsilon \approx 0.00044 e^{-1797}.$
Novel Mouse Model Reveals Distinct Activity-Dependent and βIndependent Contributions to Synapse Development
The balanced action of both pre- and postsynaptic organizers regulates the formation of neuromuscular junctions (NMJ). The precise mechanisms that control the regional specialization of acetylcholine receptor (AChR) aggregation, guide ingrowing axons and contribute to correct synaptic patterning are unknown. Synaptic activity is of central importance and to understand synaptogenesis, it is necessary to distinguish between activity-dependent and activity-independent processes. By engineering a mutated fetal AChR subunit, we used homologous recombination to develop a mouse line that expresses AChR with massively reduced open probability during embryonic development. Through histological and immunochemical methods as well as electrophysiological techniques, we observed that endplate anatomy and distribution are severely aberrant and innervation patterns are completely disrupted. Nonetheless, in the absence of activity AChRs form postsynaptic specializations attracting motor axons and permitting generation of multiple nerve/muscle contacts on individual fibers. This process is not restricted to a specialized central zone of the diaphragm and proceeds throughout embryonic development. Phenotypes can be attributed to separate activity-dependent and -independent pathways. The correct patterning of synaptic connections, prevention of multiple contacts and control of nerve growth require AChR-mediated activity. In contrast, myotube survival and acetylcholine-mediated dispersal of AChRs are maintained even in the absence of AChR-mediated activity. Because mouse models in which acetylcholine is entirely absent do not display similar effects, we conclude that acetylcholine binding to the AChR initiates activity-dependent and activity-independent pathways whereby the AChR modulates formation of the NMJ
Demonstration of Detuning and Wavebreaking Effects on Raman Amplification Effciency in Plasma
A plasma-based resonant backward Raman amplifier/compressor for high power amplification of short laser pulses might, under ideal conditions, convert as much as 90% of the pump energy to the seed pulse. While the theoretical highest possible efficiency of this scheme has not yet been achieved, larger efficiencies than ever before obtained experimentally (6.4%) are now being reported, and these efficiencies are accompanied by strong pulse compression. Based on these recent extensive experiments, it is now possible to deduce that the experimentally realized efficiency of the amplifier is likely constrained by two factors, namely the pump chirp and the plasma wavebreaking, and that these experimental observations may likely involve favorable compensation between the chirp of the laser and the density variation of the mediating plasma. Several methods for further improvement of the amplifier eοΏ½ciency in current experiments are suggested
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Designing redder and brighter fluorophores by synergistic tuning of ground and excited states
We strategically modified the GFP core via chemical synthesis to make redder and brighter biomimetic fluorophores. Based on quantum calculations, solvatochromism analysis, and femtosecond Raman, we unveiled the additive effect of tuning the electronic ground and excited states, respectively, to achieve a dramatic emission redshift with a "double-donor-one-acceptor" structure
Plants with genetically encoded autoluminescence
Autoluminescent plants engineered to express a bacterial bioluminescence gene cluster in plastids have not been widely adopted because of low light output. We engineered tobacco plants with a fungal bioluminescence system that converts caffeic acid (present in all plants) into luciferin and report self-sustained luminescence that is visible to the naked eye. Our findings could underpin development of a suite of imaging tools for plants
Hypermutable Non-Synonymous Sites Are under Stronger Negative Selection
Mutation rate varies greatly between nucleotide sites of the human genome and depends both on the global genomic location and the local sequence context of a site. In particular, CpG context elevates the mutation rate by an order of magnitude. Mutations also vary widely in their effect on the molecular function, phenotype, and fitness. Independence of the probability of occurrence of a new mutation's effect has been a fundamental premise in genetics. However, highly mutable contexts may be preserved by negative selection at important sites but destroyed by mutation at sites under no selection. Thus, there may be a positive correlation between the rate of mutations at a nucleotide site and the magnitude of their effect on fitness. We studied the impact of CpG context on the rate of humanβchimpanzee divergence and on intrahuman nucleotide diversity at non-synonymous coding sites. We compared nucleotides that occupy identical positions within codons of identical amino acids and only differ by being within versus outside CpG context. Nucleotides within CpG context are under a stronger negative selection, as revealed by their lower, proportionally to the mutation rate, rate of evolution and nucleotide diversity. In particular, the probability of fixation of a non-synonymous transition at a CpG site is two times lower than at a CpG site. Thus, sites with different mutation rates are not necessarily selectively equivalent. This suggests that the mutation rate may complement sequence conservation as a characteristic predictive of functional importance of nucleotide sites
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