Symmetries versus the spectrum of $ J\bar T$-deformed CFTs

It has been recently shown that classical J\bar TJT‾ - deformed CFTs possess an infinite-dimensional Witt-Kac-Moody symmetry, generated by certain field-dependent coordinate and gauge transformations. On a cylinder, however, the equal spacing of the descendants’ energies predicted by such a symmetry algebra is inconsistent with the known finite-size spectrum of J\bar TJT‾ - deformed CFTs. Also, the associated quantum symmetry generators do not have a proper action on the Hilbert space. In this article, we resolve this tension by finding a new set of (classical) conserved charges, whose action is consistent with semiclassical quantization, and which are related to the previous symmetry generators by a type of energy-dependent spectral flow. The previous inconsistency between the algebra and the spectrum is resolved because the energy operator does not belong to the spectrally flowed sector.

DEVELOPEMENT OF A VEGETABLE DRYER

A Vegetable dryer of dimension 1.50 m (high) x 0.72 m (wide) x 0.59 m (breadth) was developed using mild steel iron and its performance evaluated. The device consists of a drying chamber with three drying trays; fans incorporated for heat circulation, a heating element of 2000 W, four swivel caster rollers for ease of mobility, a thermostat to regulate the heat generated in the drying chamber and a thermo-gauge inserted to monitor the temperature in the drying chamber. The vegetable dryer has a drying capacity of 34 kg and three compartments of 0.25 m equal spacing. The dryer is partitioned at 0.75 m, 0.1 m and 1.25 m from the heating element, with the first (bottom) tray, the second tray (middle) and the third (upper) respectively. The device performance was evaluated under no-load and load conditions at 50 °C, 60 °C, and 80 °C temperatures with three replications. Results obtained under no-load indicated that temperatures very close to the preset values (by the thermostat) were attained within 5 mins. Under load condition, the dryer was evaluated by drying 16.74 kg of tomatoe slices at 50 °C, 60 °C, and 80 °C. Weight reduction (degree of moisture loss) from the slices was recorded at intervals of 1hour until a nearly constant weight was obtained. The result revealed that the dryer has a mean drying efficiency of 80.6 % and drying rate of 0.02 kg/hr. At a drying time of 10 hours and temperatures of 50 °C and 60 °C, 16.74 kg of tomatoes were reduced to 1.23 kg and 1.13 kg representing 93 % (wb) of removed moisture, while a final weight of 1.08 kg dry matter was obtained from the same starting weight of wet tomatoes at 80 °C representing 94 % (wb) of moisture loss for the same drying time. ANOVA studies indicated that the effect of temperature and tray level on drying of vegetable (tomatoes) were highly significance at (P< 5 %). The dried vegetable (tomatoes) is free from dust and any form of contamination making it healthy for consumption.

Numerical Study of Supersonic Mixed Compression Air Intake with an Array of Air Jets

Computational study of flow physics inside the mixed compression air intake has been carried out with and without air jets at design Mach number of 2.2. RANS equations were solved with k-? turbulence model by using commercially available software ANSYS. The scope of this research is to improve the flow field inside the air intake and efficiency of supersonic air intake by implementing air jets on the ramp surface. An array of air jets containing two, four and five air jet holes respectively have been made on the ramp surface perpendicular to the flow with equal spacing between them. The injection pressure through air jet has kept constant for all the cases. Flow Distortion and Total pressure recovery were selected to measure the performance of air intake. All the simulations have been performed at a back-pressure ratio of 6. The results obtained suggest that implementation of proper spacing between air jets can improve the performance of air intake due to the mixing of vortices generated by air jets with free stream flow. It is revealed that an array of air jets containing four holes on ramp surface works best and helps in controlling the shock induced separation.

Characteristics of the Angled Printed Dipole Array Antenna with Different Numbers of Dipole Elements

This paper investigated the characteristics of series-fed angled dipole antennas as the number of dipoles increased from one to two, four, and eight. A parallel strip line printed on both sides of the substrate was used to connect angled printed dipoles of the same size in a series with equal spacing. As expected, although the gain increased as the number of dipoles increased, the impedance and gain bandwidths decreased. In addition, as the number of dipoles increased, the half-power beamwidth (HPBW) differences between the xz- and yzplanes decreased and the radiation pattern of the xz-plane became more symmetric. Antennas with one, two, four, and eight-dipole elements in a series were designed, and their peak gains were 5.0 dBi, 7.2 dBi, 9.4 dBi, and 10.4 dBi, respectively. The differences between the xz- and yz-plane HPBWs of the four antennas were 160.4°, 41.7°, 14.2°, and 5.3°, respectively. As the number of dipoles in the antenna increased, the differences between the HPBWs in the xz- and yz-planes decreased.

Pre-processing Protocol for Nonlinear Regression of Uneven Spaced-Data

Regression of experimental or simulated data has important implications in sensitivity studies, uncertainty analysis, and prediction accuracy. The fitness of a model is highly dependent on the number of data points and the locations of the chosen points on the curve. The objective of the research is to find the best scheme for a nonlinear regression model using a fraction of total data points without losing any features or trends in the data. Six different schemes are developed by setting criteria such as equal spacing along axes, equal distance between two consecutive points, constraint in the angle of curvature, etc. A workflow is provided to summarize the entire protocol of data preprocessing, training and testing nonlinear regression models with various schemes using a simulated temperature profile from an enhanced geothermal system. It is shown that only 5% of data points are sufficient to represent the entire curve using a regression model with a proper scheme.

Development of the Nonlinearity Correction for the Laser Tuning in OFDR System Using Zero-Crossing Sampling and Self-Reference

Tuning nonlinearity of the laser is the main source which will deteriorate the spatial resolution in optical frequency domain reflectometry system. We develop methods for tuning nonlinearity correction in the OFDR system from the aspects of data acquisition and also the posting-processing. A zero-crossing detection scheme is researched and implemented by a customized circuit. Equal-spacing frequency sampling is therefore achieved in real-time. The maximum sensing distance can reach to the same length of the auxiliary interferometer. The zero-crossing detection for the beating frequency of 20MHz is achieved. Then, a nonlinearity correction method based on the self-reference method is proposed. The auxiliary interferometer is no longer necessary in this scheme. The tuning information of the laser is extracted by a strong reflectivity point at the end of the sensing arm in the main interferometer. The tuning information can then be used to resample the raw signal and the nonlinearity correction can be achieved. The spatial resolution test and the distributed sensing experiments are both performed based on this nonlinearity correction method. The results validated the feasibility of the proposed method. The method reduces the hardware and data burden for the system and has a potential value on the system integration and miniaturization.

Study on the layout of GNSS sites for strike-slip faults

SUMMARY In the profile analysis of faults, the distribution of GNSS sites directly affects the accuracy of the results of slip rate and locking depth. This paper discusses strategies for designing the layout of GNSS stations perpendicular to strike-slip faults in terms of site spacing and the Minimum Effective Distance, which is 20 times the locking depth of the fault. Three layout models are proposed considering the complexity of strike-slip faults: (1) Equal spacing layout, in which many stations are deployed in the far field, only a few are deployed in the near field. (2) Equal deformation layout, in which stations are densely arranged in the near field and sparsely arranged in the far field according to the frequency of deformation curve. (3) Equal slope spacing layout, in which stations are arranged according to the nonlinear degree of the deformation curve, with dense distribution in regions with high nonlinearity and sparse distribution in approximately linear regions. The three models were used to redistribute the sites in the Qiaojia to Dongchuan segment of the Xiaojiang fault profile, and their performances were compared with that of the current sites distribution of the segment. The results showed that model 1 is optimal for fitting the accuracy of slip rate and model 3 is optimal for the accuracy of locking depth. Overall, model 3 appears to be the best choice, considering that the accuracy of the locking depth is more difficult to control. One of the main purposes of deployment is to identify the seismogenic depth of the fault. With the locking depth of the fault gradually approaching the depth of the seismogenic layer during an interseismic period, the accuracy of observations of sites deployed at a preset value of historical seismogenic depth of the fault would improve.

Reports of equitonic scale systems in African musical traditions and their implications for cognitive models of pitch organization

Psychological research into musical behavior has mostly focused on Western music, explored with experiments utilizing Western participants. This ethnocentric bias limits the generalizability of many claims in the field. We argue that our current understanding of the cognition of pitch organization might be helpfully informed by data gathered in non-Western contexts. In particular, musical traditions featuring equal-spaced scales (where all scale-step interval sizes are equal) are suggested to pose a challenge to popular models of pitch organization, in which unequally spaced scales are suggested to provide cognitive anchor points for on-the-fly pitch orientation. This article presents a summary and theoretical consideration of all available evidence on equal-spaced scales, the vast majority of which appear in east Africa. It is noted that despite equal spacing, there is evidence to suggest that tonal centers are still perceived by idiomatic listeners. We then proceed to propose how such tonal center perception is possible within equal-spaced tonal environments. In short, the existence of equal-spaced scale systems shifts the focus of research from interval uniqueness to alternative explanations for the perception of tonal centers, such as implicit statistical tracking, secondary parameters, recognition of learnt patterns as tonal cues, and so on. Throughout, we note that interdisciplinary work involving ethnomusicologists and psychologists would be beneficial in answering questions about music cognition, and by extension, human cognition in general.

Effects of Interaction between New Rice Varieties and Plant Spacing to Productivity of Rice

The most effective method to increase rice productivity in one location is to adapt the best combination between the high yielding rice variety and the optimum plant spacing. The objectives of this experiment to observe plant growth characteristic of each high yielding rice variety under each plant spacing to increase rice productivity. Field experiment was conducted at Toroh Regency, Grobogan District, Central Java during 2014 dry season. Treatments were arranged according to a split plot design, with three replications. The main plots (Plant spacings), namely T1- Equal spacing/Tegel 25 cm x 25 cm; T2- Legowo 2:1 (25---50) cm x 12,5 cm; T3- legowo 4:1 empty (25 – 50) cm x 12,5 cm dan T4- legowo 4:1 full (25 – 50) cm x 12,5 cm. The sub plots (variety): Ciherang, Inpari 10, Inpari 15 and Inpari 16.<br />The yields of the rice varieties in this experiment are highly significantly different. It was found one introduced variety produced higher yield than Ciherang, namely Inpari 16 (5.93 + 0.43 ton 14% dry grain/ha). The two other introduced varieties (Inpari 10 and Inpari 15), produced 5.03 + 0.19 and 5.00 + 0.22 ton 14% dry grain/ha, the same or slightly lower than Ciherang. The highest yield occurred when Inpari 16 planted using Legowo 4 : 1 empty, namely 6.57 ton 14% dry grain/ha, consistently produces higher yield than the other varieties do at each plant spacing treatment. Rice yields of Ciherang were relatively more stable under different plant spacings compared with the other varieties. Inpari 10 at harvest stage having 19 tillers per hill under equal spacing 25 cm x 25 cm, decreased to 12 tillers per hill under Legowo 4 : 1 full. Ciherang with the medium size of grains have 1000 grain weight of 23.9 gram, and Inpari 10 25.3 gram. Based on the results of this experiment it is concluded that Inpari 16 planted under Jajar Legowo 4 : 1 empty (25 – 50) cm x 12.5 cm is the best. However, it is suggested to be evaluated acceptability by the local farmers.