Hopf type rigidity for thermostats

We show a Hopf type rigidity for thermostats without conjugate points on a 2-torusComment: 9 pages; minor revisions to reflect published versio

THE STRUCTURE OF THE MATHEMATICAL MODEL OF MAIZE GERMINATION REGIMES ON THE BASIS OF CHANGE OF THE QUANTITY OF ANTIOXIDANTS

Statistical processing of experimental studies allowed to scientifically substantiate and describe mathematically the optimization of the parameters of the technological process with the mutual influence of temperature and the duration of germination on the change in the biological and nutritional value of maize corn.The research results showed that at the germination temperature of 24 °C, antioxidant activity shows the highest result than at 18 and 300 ° C. At a germination temperature of 24 °C, all of the above figures at day 5 reach the maximum mark. Of the studied hybrids, at a temperature of 24°C on the fifth day of germination in “Arman 689” corn, the SSA increased by 3.1 times (68%) compared with the control. Under the same conditions, in the hybrid “Turan 480 SV”, the SSA increased 3.2 times (by 68.7%), in the hybrid “Turgen 5/87” - 4.2 times (by 76%). Compared with the “Turan 480 CB” and “Turgen 5/87” hybrids, in the “Arman 689” hybrid, the SSA is 1.3 and 1.03 times higher, respectively, 22.8 and 2.9%. Based on the data obtained, mathematical model of germination of corn hybrids

COMPUTER MODELLING OF OBJECTS AND PROCESSES IN FOOD MANUFACTURES

In article are shown results of necessity of wide application of mathematical modelling of objects and processes for food manufactures is shown. Main principles of computer modelling, examples of mathematical models of processes and objects are resulted.An example of modeling apple juice with given parameters from composite juice from apples of the Lemon, Aport, Stolovka varieties is given. As a result, with the help of prospective regulatory modeling on Microsoft Excel, a calculation was made of the percentage of added juices to ensure titrated acidity of 0.3% and vitamin C 0.02%

Measurement of double-differential muon neutrino charged-current interactions on C8 H8 without pions in the final state using the T2K off-axis beam

We report the measurement of muon neutrino charged-current interactions on carbon without pions in the final state at the T2K beam energy using 5.734×1020 protons on target. For the first time the measurement is reported as a flux-integrated, double-differential cross section in muon kinematic variables (cosθμ, pμ), without correcting for events where a pion is produced and then absorbed by final state interactions. Two analyses are performed with different selections, background evaluations and cross-section extraction methods to demonstrate the robustness of the results against biases due to model-dependent assumptions. The measurements compare favorably with recent models which include nucleon-nucleon correlations but, given the present precision, the measurement does not distinguish among the available models. The data also agree with Monte Carlo simulations which use effective parameters that are tuned to external data to describe the nuclear effects. The total cross section in the full phase space is σ=(0.417±0.047(syst)±0.005(stat))×10-38 cm2 nucleon-1 and the cross section integrated in the region of phase space with largest efficiency and best signal-over-background ratio (cosθμ\u3e0.6 and pμ\u3e200 MeV) is σ=(0.202±0.036(syst)±0.003(stat))×10-38 cm2 nucleon-1

Upper bound on neutrino mass based on T2K neutrino timing measurements

The Tokai to Kamioka (T2K) long-baseline neutrino experiment consists of a muon neutrino beam, produced at the J-PARC accelerator, a near detector complex and a large 295-km-distant far detector. The present work utilizes the T2K event timing measurements at the near and far detectors to study neutrino time of flight as a function of derived neutrino energy. Under the assumption of a relativistic relation between energy and time of flight, constraints on the neutrino rest mass can be derived. The sub-GeV neutrino beam in conjunction with timing precision of order tens of ns provide sensitivity to neutrino mass in the few MeV/c2 range. We study the distribution of relative arrival times of muon and electron neutrino candidate events at the T2K far detector as a function of neutrino energy. The 90% C.L. upper limit on the mixture of neutrino mass eigenstates represented in the data sample is found to be mν2\u3c5.6 MeV2/c4

First measurement of the muon neutrino charged current single pion production cross section on water with the T2K near detector

The T2K off-axis near detector, ND280, is used to make the first differential cross section measurements of muon neutrino charged current single positive pion production on a water target at energies ∼0.8 GeV. The differential measurements are presented as a function of the muon and pion kinematics, in the restricted phase space defined by pπ+\u3e200 MeV/c, pμ\u3e200 MeV/c, cos(θπ+)\u3e0.3 and cos(θμ)\u3e0.3. The total flux integrated νμ charged current single positive pion production cross section on water in the restricted phase space is measured to be

Measurement of Coherent π+ Production in Low Energy Neutrino-Carbon Scattering

We report the first measurement of the flux-averaged cross section for charged current coherent π+ production on carbon for neutrino energies less than 1.5 GeV, and with a restriction on the final state phase space volume in the T2K near detector, ND280. Comparisons are made with predictions from the Rein-Sehgal coherent production model and the model by Alvarez-Ruso et al., the latter representing the first implementation of an instance of the new class of microscopic coherent models in a neutrino interaction Monte Carlo event generator. We observe a clear event excess above background, disagreeing with the null results reported by K2K and SciBooNE in a similar neutrino energy region. The measured flux-averaged cross sections are below those predicted by both the Rein-Sehgal and Alvarez-Ruso et al. models

Search for Lorentz and CPT violation using sidereal time dependence of neutrino flavor transitions over a short baseline

A class of extensions of the Standard Model allows Lorentz and CPT violations, which can be identified by the observation of sidereal modulations in the neutrino interaction rate. A search for such modulations was performed using the T2K on-axis near detector. Two complementary methods were used in this study, both of which resulted in no evidence of a signal. Limits on associated Lorentz and CPT-violating terms from the Standard Model extension have been derived by taking into account their correlations in this model for the first time. These results imply such symmetry violations are suppressed by a factor of more than 1020 at the GeV scale