Quantum Supertwistors

In this paper, we give an explicit expression for a star product on the super-Minkowski space written in the supertwistor formalism. The big cell of the super-Grassmannian Gr(2|0,4|1) is identified with the chiral, super-Minkowski space. The super-Grassmannian is a homogeneous space under the action of the complexification SL(4|1) of SU(2,2|1), the superconformal group in dimension 4, signature (1,3), and supersymmetry N=1. The quantization is done by substituting the groups and homogeneous spaces by their quantum deformed counterparts. The calculations are done in Manin’s formalism. When we restrict to the big cell, we can explicitly compute an expression for the super-star product in the Minkowski superspace associated to this deformation and the choice of a certain basis of monomials.

Tempered D-modules and Borel–Moore homology vanishing

We characterize the tempered part of the automorphic Langlands category $$\mathfrak {D}({\text {Bun}}_G)$$ D ( Bun G ) using the geometry of the big cell in the affine Grassmannian. We deduce that, for G non-abelian, tempered D-modules have no de Rham cohomology with compact support. The latter fact boils down to a concrete statement, which we prove using the Ran space and some explicit t-structure estimates: for G non-abelian and $$\Sigma $$ Σ a smooth affine curve, the Borel–Moore homology of the indscheme $${\text {Maps}}(\Sigma ,G)$$ Maps ( Σ , G ) vanishes.

Preliminary Analysis of Solar Cell Interconnections Welding Parameters Using Design of Experiments for Future Optimization

One of the processes that determine the reliability of solar panels used in space applications is the welding of interconnections between two adjacent solar cells. This process has various technologies, sequences and activities that have various characteristics, factors and parameters. Their combinations and values allow countless possibilities, making their adjustments time consuming, costly and exhausting. One way of abbreviating this, achieving competitiveness and meeting the needs of stakeholders is through the Analysis and Design of Experiments. This technique helps in optimizing the best adjustments to obtain the expected results. Thus, this paper presents a preliminary analysis of the parameters and their interactions of the welding process (by parallel-gap resistance welding) of interconnections between solar cells using design of experiments. In this welding process, the cell undergoes a certain level of degradation. For this reason, it is important to determine which process parameters are important and their proper levels, without big cell degradation. The result of this analysis can be used in the future to optimize the welding process meeting the design requirements for reliability and performance.

A case study of recurrent hemagiopericytoma of the left lung

Hemangiopericytoma is a rare disease. We report the first case presented with such disease at our hospital. The patient was first diagnosed with is vascular tumour 10 years ago and was discharged without chemotherapy. The patient was recently hospitalised due to tumour recurrence. The patient was Mrs. Tran Thi Kim H, was born in 1970, married, had 4 children, and was a farmer. The patient lived at An thoi Đong, Can Gio district, and was admitted on 26/9/2019 due to a recurrent left lung tumour. The patient suffered from headache and vertigo in the past 2 years and she underwent surgical removal of a lung tumour 10 years ago at Binh Dan Hospital. Physical examination was normal. Laboratory results were within normal range, except a mild anaemia. We had planned to use thoracoscopy but after general anaesthesia, the left lung could not be deflated and therefore the surgery was postponed. A week after, we attempted to use thoracotomy. We observed a tumour that adhered to the thoracic wall and to the left lung. We dissected the adhesion and removed the tumour, haemostasis was achieved by suturing with a Vicryl 3.0 stitch. The surgical incision was closed and a chest drainage was placed. Post-operative follow-up was uneventful and the patient stayed in the hospital for 15 days. Pathological studies: Biopsy with MSCT guidance revealed a diagnosis of undifferentiated non-small cell lung cancer; surgical biopsy showed that this was a lymphocyte with big cell tumour. Finally, the diagnosis of lung hemangiopericytoma was confirmed by immunohistochemistry. Whether chemotherapy should be indicated for this patient is being considered.

Experimental investigation of low velocity impact on textile cellular composite with different energy construction

Cellular composite, with an array of regular hexagonal cells in the cross section, is a type of textile composites having the advantage of being light weight and energy absorbent over the solid composite materials. However, when it is under the same energy level of low velocity impact with different tup mass and velocity, its behavior is yet unknown. In the experiment, four groups of samples, with twelve geometrical variants have been systematically created for the impact testing. The impact test is running in two categories with one type of low velocity impact with initial velocity of 5.5 m/s by the tup mass of 0.55 kg, and another testing under the similar impact energy but with a lower initial velocity around 2.0 m/s with heavier tup mass of 4.52 kg. The impact energies in the above cases are very similar about 8.5 J, which indicates that the impact energy is the same while the energy construction is different. After the test, it is found that composite with medium cell size has more stable mechanical performances under various exposed impact conditions. It is also concluded that composites with big cell size are much easier to be destroyed under heavier impact tup, therefore, under condition of more critical loading force, it is necessary to find a way to enhance the big cell sized composites’ wall material in order to strengthen their structure performances. The results of this work provide a reference for the researchers who are kneeing to investigate the impact mechanism of textile cellular composites.

The Lubrication Properties of Microbial Cells and their Biopolymers

Many machining operations e.g. turning, milling or grinding are dependent on the application of water-based metalworking fluids (MWF) which contribute significantly to their high level of performance. MWF in-use are exposed to a microbial contamination, which leads to a deterioration of water-based MWF components and can cause a premature failure of the whole coolant system. Expensive monitoring and the addition of biocides are needed to maintain the MWF quality and to reduce the microbial load, regardless of the potential risk for health and environment. To overcome these limitations, the paradigm shift of using microorganisms as a replacement for conventional MWF is investigated in this paper. Microbial cell components and some microbial inclusions are comparable to conventional MWF components like e.g. fatty acids or sulfur compounds. Due to this fact, it is possible to create a regenerative system on a microbiological basis for the substitution of conventional MWF components. In preliminary tribological investigations the basic lubrication properties of microorganisms and their potential as a replacement for conventional MWF were shown. The presented approach intends to investigate the influence of microbial cell counts, cells size and extracellular polymeric substances (EPS) on the lubrication behavior respectively. The results of the tribological tests show that especially microorganisms with a big cell volume or a high EPS productivity exhibit superior Brugger-values (up to 174%) compared to a highly concentrated conventional MWF (emulsion 10%) and indicate the great potential of microorganisms as a replacement for conventional MWF.

Morphology, anatomy and ultrastructure of yarrow (Achillea millefolium L.) floral nectaries

The studies focused on the morphological and anatomical features as well as those related to the ultrastructure of nectary cells <i>Achillea millefolium</i> Asteraceae family. The nectary presence was confirmed only in the disk flowers at the pistil style base. The micromorphology of nectaries was investigated in SEM, and structure was observed in a light and transmission electron microscopes. A number of layers composing a gland, the size and shape of epidermal and glandular cells were determined. The secretory cell ultrastructure was analyzed. The discoidal nectary gland observed from above had a pentagonal shape, 181.5 µm height and 299.4 µm diameter. It was built of the monolayer epidermis and 6 layers of the secretory cells on average. The glandular cells appeared to be bigger (27 µm) than the epidermal cells (22 µm), a cell shape in both tissues differed as well. The nectar secretion occured through the modified stomata. The stomata cells were at distinguishable greater size and raised above the surface of epidermis. The nectaries were supplied by the vascular bundles running from the pistil style up to the nectary base, not getting into the gland. In the cells of the nectary epidermis observed in TEM the big cell nuclei, numerous plastids, mitochondria and vacuoles with fibrous secretion deposits and vesicular structures were found. In the cells of the nectary secretory tissue there were dense cytoplasm, many plastids, mitochondria, Golgi bodies and the extensive network of the endoplasmic reticulum.