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In this paper, we construct the moduli spaces of filtered (Stokes) $G$-local systems on curves for an arbitrary reductive group $G$ over an algebraically closed field of characteristic zero. This provides an algebraic construction for the Betti moduli spaces in tame/wild nonabelian Hodge correspondence for vector bundles/principal bundles on noncompact curves. As a direct application, the tame nonabelian Hodge correspondence on noncompact curves holds not only as categories, but also as moduli spaces., 32 pages

Magnetic particle imaging (MPI) visualizes the spatial distribution of magnetic particles based on their nonlinear response signals. Such a process can be implemented by image reconstruction. In recent years, deep learning techniques supported by large amounts of training data have been widely used in various medical image reconstructions. However, the acquisition of MPI data requires a long time of obtaining and preprocessing. This makes it impractical to obtain a sufficient amount of data for training. In this work, we propose an MPI image reconstruction framework that incorporates physical model constraints into deep learning networks to overcome the limitation of dependence on training data. This framework optimizes the network parameters through constraints of the physical model rather than training with paired data. Simulation results show that this is an effective reconstruction strategy and has good reconstruction robustness., International Journal on Magnetic Particle Imaging IJMPI, Vol 9 No 1 Suppl 1 (2023)

The computation of the ground states of special multi-component Bose-Einstein condensates (BECs) can be formulated as an energy functional minimization problem with spherical constraints. It leads to a nonconvex quartic-quadratic optimization problem after suitable discretizations. First, we generalize the Newton-based methods for single-component BECs to the alternating minimization scheme for multi-component BECs. Second, the global convergent alternating Newton-Noda iteration (ANNI) is proposed. In particular, we prove the positivity preserving property of ANNI under mild conditions. Finally, our analysis is applied to a class of more general "multi-block" optimization problems with spherical constraints. Numerical experiments are performed to evaluate the performance of proposed methods for different multi-component BECs, including pseudo spin-1/2, anti-ferromagnetic spin-1 and spin-2 BECs. These results support our theory and demonstrate the efficiency of our algorithms.

Silicoaluminophosphate zeotypes with -CLO structure (SAPO-CLO) were ionothermally synthesized in 1-ethyl-3-methyl imidazolium ([emim]+) ionic liquid in the presence of tetrapropylammonium hydroxide. The physicochemical properties of SAPO-CLO with different silicon content were comparatively studied using several characterization techniques including XRD, SEM, XRF, NMR, BET, NH3-TPD, in situ DRIFTS etc. Notably, 29Si MAS NMR results revealed the incorporation of Si in the structure that was mainly in the form of SMII and SMIII combination. NH3-TPD and in situ DRIFTS results demonstrated that SAPO-CLO exhibited higher acid amount than AlPO-CLO as a result of the formation of new Bronsted acid sites Si–OH–Al in addition to structural P–OH in the framework. N2 physisorption results showed SAPO-CLO compared with AlPO-CLO exhibited higher BET surface area and microporous volume with the presence of extra-large-pore of about 1.2 nm. Finally, the catalytic performance of SAPO-CLO was evaluated in both methanol-to-olefin and propene oligomerization reactions to elucidate its activity, shape-selectivity and hydrothermal stability. SAPO-CLO showed improved catalytic activity in comparison to AlPO-CLO in both reactions, and lower selectivity of light olefins in the former reaction and higher selectivity of C3n oligomers in the latter reaction in comparison to small-pore SAPO-LTA. The deactivated catalyst was unrecoverable in MTO reaction due to structure degradation by water produced during the reaction, whereas recoverable in oligomerization reaction after the removal of coke by high temperature calcination.

The available wide-baseline image matching algorithms have been prone to failure or only producing few matches, due to the complex affine deformation and perspective distortion. On this basis, we proposed a novel affine invariant feature matching algorithm for oblique stereo images based on multivariate network. In our method, we applied the Hessian algorithm to extract initial feature regions, then we constructed triplet network (TN) model, and obtained affine invariant feature regions through deep learning. To improve the matching performance of similar features, we proposed multilateral constraint loss function to train multi-branch descriptor network (MDN) model, and then generated deep learning descriptors with higher discrimination for image features. Afterwards, the conjugate features were produced by the matching metric of nearest/next distance ratio (NNDR), and eliminated possible mismatch points through random sampling consistency (RANSAC) algorithm. Finally, experiments on oblique stereo images acquired by unmanned aerial vehicle verified the effectiveness of the proposed approach.

Shaping codes are used to generate code sequences in which the symbols obey a prescribed probability distribution. They arise naturally in the context of source coding for noiseless channels with unequal symbol costs. Recently, shaping codes have been proposed to extend the lifetime of flash memory and reduce DNA synthesis time. In this paper, we study a general class of shaping codes for noiseless finite-state channels with cost and i.i.d. sources. We establish a relationship between the code rate and minimum average symbol cost. We then determine the rate that minimizes the average cost per source symbol (total cost). An equivalence is established between codes minimizing average symbol cost and codes minimizing total cost, and a separation theorem is proved, showing that optimal shaping can be achieved by a concatenation of optimal compression and optimal shaping for a uniform i.i.d. source.

PurposeTo describe the clinical, imaging, pathological features and oncologic outcomes of mucinous tubular and spindle cell carcinoma (MTSCC) of the kidney.Patients and MethodsTwenty-two cases of MTSCC were pathologically identified between January 2004 and April 2021 at our institution. The clinical and imaging findings, pathological features, treatment methods and outcomes of the patients were reviewed.ResultsThese cases included 17 women and 5 men, with a median age at diagnosis of 52.5 years. On contrast-enhanced CT, MTSCC was less enhanced than the adjacent renal parenchyma. Tumor attenuation values were 33.3 ± 6.8HU, 44.0 ± 9.1HU, 54.4 ± 13.9HU and 67.1 ± 11.8HU in the non-contrast, corticomedullary, nephrographic and excretory phases of CT, respectively. Contrast-enhanced ultrasonography and MRI also showed hypovascular features of the masses. On MRI, the tumors were isointense on T1-weighted images and slightly hypo- or hyperintense on T2-weighted images. Diffusion-weighted imaging revealed a low apparent diffusion coefficient of the tumor. The patients were managed with laparoscopic partial nephrectomy (n=5), radical nephrectomy (n=16), or robotic-assisted laparoscopic partial nephrectomy (n=1). The median follow-up time was 59.5 months. All the patients were free of local recurrence or distant metastasis.ConclusionsMTSCC is generally indolent and has favorable outcomes. The imaging features of MTSCC are generally hypovascular, which is significantly different from clear cell renal cell carcinoma. However, it is still difficult to distinguish MTSCC from other hypovascular renal tumors preoperatively because their imaging features overlap. Further studies are essential to fully characterize the features of this rare RCC variant.

In this paper, we consider the wild nonabelian Hodge correspondence for principal $G$-bundles on curves, where $G$ is a connected complex reductive group. We establish the correspondence under a ``very good" condition introduced by Boalch, and thus confirm one of his conjectures. We first give a version of Kobayashi--Hitchin correspondence, which induces a one-to-one correspondence between stable meromorphic parahoric Higgs torsors of degree zero (Dolbeault side) and stable meromorphic parahoric connections of degree zero (de Rham side). Then, by introducing a notion of stability condition on filtered Stokes local systems, we prove a one-to-one correspondence between stable meromorphic parahoric connections of degree zero (de Rham side) and stable filtered Stokes $G$-local systems of degree zero (Betti side). When $G={\rm GL}_n(\mathbb{C})$, the main result in this paper reduces to Biquad--Boalch's result., Comment: 27 pages

The nonabelian Hodge correspondence for vector bundles over noncompact curves is adequately described by implementing a weighted filtration on the objects involved. In order to establish a full correspondence between a Dolbeault and a de Rham space for a general complex reductive group $G$, we introduce torsors given by parahoric group schemes in the sense of Bruhat--Tits. Combined with existing results on the Riemann--Hilbert correspondence for logarithmic parahoric connections, this gives a full nonabelian Hodge correspondence from Higgs bundles to fundamental group representations over a noncompact curve beyond the $\text{GL}_n(\mathbb{C})$-case.

In this paper, we generalize the construction of Deligne-Hitchin twistor space by gluing two certain Hodge moduli spaces. We investigate such generalized Deligne-Hitchin twistor space as a complex analytic manifold. More precisely, we show it admits holomorphic sections with weight-one property and semi-negative energy, and it carries a balanced metric, and its holomorphic tangent bundle (for the case of rank one) is stable. Moreover, we also study the automorphism groups of the Hodge moduli spaces and the generalized Deligne-Hitchin twistor space., Part of this paper comes from the last section of arXiv:1905.10765v3, with concrete construction and further properties studied. Some mistakes were corrected, comments are welcome!

This paper considers the moduli spaces (stacks) of parabolic bundles (parabolic logarithmic flat bundles with given spectrum, parabolic regular Higgs bundles) with rank 2 and degree 1 over $\mathbb{P}^1$ with five marked points. The stratification structures on these moduli spaces (stacks) are investigated. We confirm Simpson's foliation conjecture of moduli space of parabolic logarithmic flat bundles for our case.

For improving the performance defects of traditional heald frame, the carbon fiber reinforced composites was applied to technical upgrading of the heald frame. On the basis of the theory analysis of composites laminates, the symmetrical ply scheme suitable for manufacturing of the heald frame in overall laminated was constructed, and a type of parametric program for finite element modeling was developed by ANSYS Parametric Design Language (APDL). The optimal mathematical model of the composites heald frame was proposed, and then the thickness parameter ( t) and direction parameters (α, θ) of fiber layer were dynamic optimized by using of Sub-problem method. The work increased the fundamental frequency (ω1) of the heald frame by 10.38%. Besides, the harmonic response frequency was also increased from 48.41 Hz to 53.77 Hz, which conductive to further improve dynamics properties of the composites heald frame. This paper provides technical guidance for innovative design of new heald frame, and is helpful to solve the problem of speed matching between heald frame and high-speed loom.

The crystallization chemistry of silica-based zeolites in ionic liquids remains highly puzzling and interesting in the field of zeolite science. Herein, we report the successful ionothermal synthesis of germanosilicate zeolites. The ionothermal templating effect with respect to the structure, alkalinity and concentration of organic additives was comparatively studied. The results showed that a small amount of organic base could effectively aid the dissolution of silica source and facilitate the crystallization of germanosilicate zeolites with ionic liquid as template. Remarkably, STW and IRR structures constructed with double-four-ring (D4R) structure-building units were ionothermally prepared using 1-ethyl/butyl-3-methyl imidazolium and 1-benzyl-3-methyl imidazolium ionic liquids as template, respectively. Ionothermal synthesis tailored with organic base showed suitable chemistry for the formation of germanium-containing siliceous D4R units. This finding will be helpful for the rational exploration of novel extra-large-pore zeolitic structures.

Conjugate partial-symmetric (CPS) tensor is a generalization of Hermitian matrices. For the CPS tensor decomposition some properties are presented. For real CPS tensors in particular, we note the subtle difference from the complex case of the decomposition. In addition to traditional decompositions in the form of the sum of rank-one tensors, we focus on the orthogonal matrix decomposition of CPS tensors, which inherits nice properties from decomposition of matrices. It then induces a procedure that reobtain the CPS decomposable property of CPS tensors. We also discuss the nonnegativity of the quartic real-valued symmetric conjugate form corresponding to fourth-order CPS tensors in real and complex cases, and establish its relationship to different positive semidefiniteness based on different decompositions. Finally, we give some examples to illustrate the applications of presented propositions.

Satellite location in a leader-follower satellite cluster is very important to control the satellite cluster topology. Fingerprint localization is a promising method because its simple and low cost requirement for the satellite hardware. However, the received signal strength is always changing in a complex way due to the relative movements of the satellites, which will make the radio map dynamic. Therefore, in this paper we propose to calculate the dynamic radio map based on the satellite cluster ephemeris. In detail, we propose a coarse-fine localization method for localizing the leader-follower satellite cluster. In the offline phase, we calculate the sparse radio map in several moment of the ephemeris so as to achieve coarse localization and small size of the dynamic radio map. Dense radio map is calculated in the satellite online for the fine localization. We finally use the fine localization for trajectory tracking to further improve the localization accuracy. The numerical results demonstrate that the proposed method not only yields a high localization accuracy, but also significantly reduces the space and time complexity.

Since 2011, highly pathogenic pseudorabies virus (PRV) variants that emerged on many farms in China have posed major economic burdens to the animal industry and have even recently caused several human cases of viral encephalitis. Currently, there are no approved effective drugs to treat PRV associated diseases in humans or pigs. Thus, it is important to develop a new effective drug for the treatment of PRV infection. To this end, we established a novel rapid method to screen drugs against PRV from 1818 kinds of small molecular drugs approved by the FDA. Using this method, we identified 21 kinds of them that can strongly suppress the proliferation of PRV. Mitoxantrone, puromycin dihydrochloride, mitoxantrone hydrochloride and adefovir dipivoxil effectively inhibited PRV in vitro. Of them, only adefovir dipivoxil could potently protect mice against lethal PRV infection. Our work identifies several kinds of potential therapeutics against PRV and may offer important guidance for controlling PRV epidemics and treating associated diseases in humans and animals.

The first part of this thesis is the geometry of non-Abelian Hodge theory, especially the study of geometric properties of moduli spaces.The first main result of this part is the construction of a dynamical system on the moduli space of Higgs bundles, we show that fixed points of this dynamical system are exactly those fixed by the C*-action on the moduli space of Higgs bundles, that is, all C-VHS in the moduli space. At the same time, we study its first variation and asymptotic behaviour.The second main result of this part is the proof of a conjecture (weak form) by Simpson on the stratification of the moduli space of flat bundles, we prove that the oper stratum is the unique closed stratum of minimal dimension by studying the moduli space of holomorphic chains of given type.The third main result of this part is a generalization of Deligne’s construction of Hitchin twistor space in Riemann surface case, we construct holomorphic sections for this new twistor space, namely the de Rham sections. We calculate the normal bundles of these sections, and we found that de Rham sections in the Deligne–Hitchin twistor space also have wight 1 property, so they are ample rational curves. We also show the Torelli-type theorem for this new twistor space.; La premiére partie de cette thèse est la géométrie de la théorie de Hodge non-Abélienne, en particulier l’étude des propriétés géométriques des espaces de modules.Le premier résultat principal de cette partie est la construction d’un système dynamique sur l’espace de modules des fibrés de Higgs, nous montrons que les points fixes de ce système dynamique sont exactement ceux fixés par l’action de C* sur l’espace de modules des fibrés de Higgs, c’est-àdire tous les C-VHS dans l’espace de modules. Dans le même temps, nous étudions sa première variation et son comportement asymptotique.Le deuxième résultat principal de cette partie est la preuve d’une conjecture (forme faible) par Simpson sur la stratification de l’espace de modules des fibrés plats, nous prouvons que la strata d’opérateurs est la strata fermée unique de dimension minimale en étudiant l’espace de modules des chaînes holomorphes de type donné.Le troisième résultat principal de cette partie est une généralisation de la construction par Deligne en l’espace de twistor de Hitchin dans le cas de surface de Riemann, nous construisons des sections holomorphes pour ce nouvel espace de twistor, c’est-à-dire les sections de de Rham. Nous calculons les fibrés normals de ces sections, et nous avons constaté que les sections de de Rham dans l’espace de twistor de Deligne–Hitchin ont également la propriété wight 1, donc ce sont des courbes rationnelles amples. Dans le même temps, nous montrons le théorème de type Torelli pour l’espace de twistor.La deuxième partie de cette thèse est l’étude de certaines spécialisations de la correspondance de Hodge non-Abélienne. Celui-ci comprend principalement deux chapitres, le premier est une preuve fondamentale d’une conjecture liée aux représentations de carquois proposée par Reineke en 2003, nous montrons pour les représentations de carquois de type An , il existe un système de poids tel que les représentations stables par rapport à ce système de poids sont précisément celles indécomposables. Pour la deuxième, nous construisons la correspondance de Kobayashi–Hitchin pour les fibrés de carquois sur les variétés Kähleriennes généralisées.

The first part of this thesis is the geometry of non-Abelian Hodge theory, especially the study of geometric properties of moduli spaces.The first main result of this part is the construction of a dynamical system on the moduli space of Higgs bundles, we show that fixed points of this dynamical system are exactly those fixed by the C*-action on the moduli space of Higgs bundles, that is, all C-VHS in the moduli space. At the same time, we study its first variation and asymptotic behaviour.The second main result of this part is the proof of a conjecture (weak form) by Simpson on the stratification of the moduli space of flat bundles, we prove that the oper stratum is the unique closed stratum of minimal dimension by studying the moduli space of holomorphic chains of given type.The third main result of this part is a generalization of Deligne’s construction of Hitchin twistor space in Riemann surface case, we construct holomorphic sections for this new twistor space, namely the de Rham sections. We calculate the normal bundles of these sections, and we found that de Rham sections in the Deligne–Hitchin twistor space also have wight 1 property, so they are ample rational curves. We also show the Torelli-type theorem for this new twistor space.; La premiére partie de cette thèse est la géométrie de la théorie de Hodge non-Abélienne, en particulier l’étude des propriétés géométriques des espaces de modules.Le premier résultat principal de cette partie est la construction d’un système dynamique sur l’espace de modules des fibrés de Higgs, nous montrons que les points fixes de ce système dynamique sont exactement ceux fixés par l’action de C* sur l’espace de modules des fibrés de Higgs, c’est-àdire tous les C-VHS dans l’espace de modules. Dans le même temps, nous étudions sa première variation et son comportement asymptotique.Le deuxième résultat principal de cette partie est la preuve d’une conjecture (forme faible) par Simpson sur la stratification de l’espace de modules des fibrés plats, nous prouvons que la strata d’opérateurs est la strata fermée unique de dimension minimale en étudiant l’espace de modules des chaînes holomorphes de type donné.Le troisième résultat principal de cette partie est une généralisation de la construction par Deligne en l’espace de twistor de Hitchin dans le cas de surface de Riemann, nous construisons des sections holomorphes pour ce nouvel espace de twistor, c’est-à-dire les sections de de Rham. Nous calculons les fibrés normals de ces sections, et nous avons constaté que les sections de de Rham dans l’espace de twistor de Deligne–Hitchin ont également la propriété wight 1, donc ce sont des courbes rationnelles amples. Dans le même temps, nous montrons le théorème de type Torelli pour l’espace de twistor.La deuxième partie de cette thèse est l’étude de certaines spécialisations de la correspondance de Hodge non-Abélienne. Celui-ci comprend principalement deux chapitres, le premier est une preuve fondamentale d’une conjecture liée aux représentations de carquois proposée par Reineke en 2003, nous montrons pour les représentations de carquois de type An , il existe un système de poids tel que les représentations stables par rapport à ce système de poids sont précisément celles indécomposables. Pour la deuxième, nous construisons la correspondance de Kobayashi–Hitchin pour les fibrés de carquois sur les variétés Kähleriennes généralisées.

Indoor location-based service is getting more and more attention. However, most of indoor localization methods paid attention to the horizontal localization in one floor and little concerned the floor estimation in one building vertically. Generally, base stations around a building can be seen as being in a horizontal plane. Due to near or far to these base stations, position changes in the same floor will introduce different reference signal receiving power(RSRP) change separately. But position changes in the vertical direction will make RSRP change together, which makes RSRP difference not obvious to achieve good floor estimation. Therefore, in this paper we propose a novel floor estimation method in the cellular networks within one building. In offline phase, based on principal component analysis (PCA) and Adaboost, the collected cellular signals are used to train a floor estimation model, where we propose a floor division strategy to improve the floor estimation accuracy. In online phase, the cellular signals are utilized by the floor estimation model to get the floor estimation results. The experiment results show that the floor estimation accuracy of the proposed method outperforms others.

The main objective of this study was to conduct a preliminary comparison on the trace element pollution, sequential extraction, and risk level in different depths of tailings with different accumulation age from a rare earth mine in Jiangxi Province, China. We collected samples at different depths of rare earth tailings with 1- and 5-year accumulation age in the same rare earth mine. The total concentrations of six potentially toxic elements (Pb, Cd, Cr, Cu, Ni, and As) were determined by acid digestion and the chemical fractionation of Pb and Cd were analyzed using the modified sequential extraction procedure (SEP) proposed by the Community Bureau of Reference (BCR) in combination with inductively coupled plasma mass spectrometry (ICP-MS). A preliminary comparison on the trace element pollution, sequential extraction, and risk level in different depths of rare earth tailings with diverse accumulation age was then conducted. High pollution levels were observed for Pb and Cd, with total concentrations in the range 79.33~134.54 and 0.83~1.83 mg kg−1, respectively. However, low pollution levels were found for Cr, Cu, Ni, and As. For the concentrations of total Pb and Cd, Pb and Cd associated with the Fe–Mn oxides and the residual fraction from top to bottom layers decreased predominantly. Overall, for the concentrations of total Pb and Cd, Pb and Cd associated with the residual fraction in all depths of the mine tailings with 5-year accumulation age were much higher than those in the mine tailings with 1-year accumulation age. The rare earth tailings showed low risk for Pb with risk assessment code (RAC) values less than 10%, but medium risk for Cd showed in the rare earth tailings with 5-year accumulation age at all depths and in the rare earth tailings with 1-year accumulation age at 10~20- and 20~30-cm depths. Advances made in our understanding of trace element pollution, sequential extraction, and risk level in different depths of tailings with different accumulation age are providing new evidences for the transportation of contaminants that derive from mining activities.

A crop yield-irrigation water model, based on an improved genetic algorithm (GA)-back propagation (BP) neural network prediction algorithm, has been developed in this study. It mainly uses the improved BP neural network based on the GA algorithm to develop the yield-irrigation water model for predicting the corn yield for different irrigation systems under subsurface drip irrigation. The model with the GA-BP algorithm gives more accurate predictions of the yield. The average error is only 0.71%. The GA-BP algorithm also speeds up the convergence of the network, improves the accuracy of the prediction, and describes the relationship between the yield and irrigation water under subsurface drip irrigation more accurately. Hence, the model can be used to design irrigation systems under subsurface drip irrigation more accurately.

The notion of flat $\lambda$-connections as the interpolation of usual flat connections and Higgs fields was suggested by Deligne and further studied by Simpson. Mochizuki established the Kobayashi--Hitchin-type theorem for $\lambda$-flat bundles ($\lambda\neq 0$), which is called the Mochizuki correspondence. In this paper, on the one hand, we generalize Mochizuki's result to the case when the base being a compact balanced manifold, more precisely, we prove the existence of harmonic metrics on stable $\lambda$-flat bundles ($\lambda\neq 0$). On the other hand, we study two applications of the Simpson--Mochizuki correspondence to moduli spaces. More concretely, we show this correspondence provides a homeomorphism between the moduli space of (semi)stable $\lambda$-flat bundles over a complex projective manifold and the Dolbeault moduli space, and also provides dynamical systems with two parameters on the latter moduli space. We investigate such dynamical systems, in particular, we calculate the first variation, the fixed points and discuss the asymptotic behaviour., Comment: Final version!

Bile acid, a cholesterol metabolite, promotes gastrointestinal tract digestion and absorption of cholesterol, lipids, and fat-soluble vitamins. It is a signaling regulatory molecule that influences a variety of endocrinal and metabolic activities. This study investigated the effects of hyodeoxycholic acid (HDCA) as a dietary supplement on endocrine cell differentiation and function and weaned piglet serum biochemical indices. Sixteen piglets [Duroc × (Landrace × Yorkshire)] were individually housed and weaned at 21 d of age (BW of 6.14 ± 0.22 kg). Uniform weight animals were randomly assigned to 1 of 2 treatments (8 replicate pens per treatment and 1 piglet per pen). The treatments were 1) base diet (control) and 2) base diet supplemented with 2 g/kg of HDCA. Control and HDCA piglet numbers of chromogranin A (CgA)-positive cells per crypt did not differ. HDCA CgA-positive cells numbers decreased (P < 0.05) in the jejunal villi showed a tendency to decrease (P < 0.10) in the ileal villi and showed tendency toward an increase (P < 0.10) in the duodenal villi compared with the controls. The HDCA diet led to a decline in glucagon-like peptide 2 (P < 0.01) concentrations, but did not affect plasma glucagon-like peptide 1. HDCA supplementation increased (P < 0.05) the mRNA expression of jejunal Insm1, Sst, PG, and Gast, but decreased (P < 0.05) duodenal expression of Insm1, jejunal Pdx1, and ileal NeuroD1. HDCA elevated globulin and immunoglobulin A (P < 0.05) serum concentrations and decreased the albumin/globulin ratio (P < 0.05). Total protein and immunoglobulin G serum levels tended to increase compared with the control group. These results indicate that dietary HDCA at 2 g/kg may regulate enteroendocrine cell differentiation and play a role in increasing weaned piglet humoral immunity.

In this paper, we establish the Hitchin--Kobayashi correspondence for the $I_\pm$-holomorphic quiver bundle $\mathcal{E}=(E,��)$ over a compact generalized K��hler manifold $(X, I_+,I_-,g, b)$ such that $g$ is Gauduchon with respect to both $I_+$ and $I_-$, namely $\mathcal{E}$ is $(��,��,��)$-polystable if and only if $\mathcal{E}$ admits an $(��,��,��)$-Hermitian--Einstein metric., To appear in The Journal of Geometric Analysis

The notion of flat $λ$-connections as the interpolation of usual flat connections and Higgs fields was suggested by Deligne and further studied by Simpson. Mochizuki established the Kobayashi--Hitchin-type theorem for $λ$-flat bundles ($λ\neq 0$), which is called the Mochizuki correspondence. In this paper, on the one hand, we generalize Mochizuki's result to the case when the base being a compact balanced manifold, more precisely, we prove the existence of harmonic metrics on stable $λ$-flat bundles ($λ\neq 0$). On the other hand, we study two applications of the Simpson--Mochizuki correspondence to moduli spaces. More concretely, we show this correspondence provides a homeomorphism between the moduli space of (semi)stable $λ$-flat bundles over a complex projective manifold and the Dolbeault moduli space, and also provides dynamical systems with two parameters on the latter moduli space. We investigate such dynamical systems, in particular, we calculate the first variation, the fixed points and discuss the asymptotic behaviour., Final version!

In this paper, we analyzed the current situation of water pollution sources near Macao airport, established a two-dimensional water exchange and water quality mathematical model near the project, and compared and simulated the reclamation schemes of Macao airport. According to the results of water exchange and COD calculation of water quality, the 80 m channel scheme was remarkably better than the 40 m one in terms of water exchange capacity and the possibility of achieving the water quality target. However, with the increase of channel width, the variation of water exchange rate and half exchange period would slow down. There was no significant difference in water exchange rate, water exchange period and water quality distribution between 80m channel and 120 m channel. The final scheme was to adopt the 80 m channel.

Due to the influences of global warming, urban rainfall has changed significantly. Based on the annual rainfall data of Guangzhou from 1952 to 2019, the characteristics of interannual variation are statistically analyzed. The periodic characteristics of rainfall variation and its development trend prediction are studied by using non-parametric Mann-Kendall test, wavelet analysis and neural network methods. The results show that: After 1993, there was an increasing trend of rainfall in Guangzhou, and a sudden change in 2009, and the increasing trend of rainfall became more obvious. The 30a cycle scale of rainfall in Guangzhou shows the most significance. The average cycle of rainfall changes is around 19a. The rainfall in Guangzhou in 2020 is predicted to be 2,628.9mm, and the rainfall will be in “dry water” period from 2021 to 2029. The rainfall characteristics in Guangzhou are continuously changing under the influence of climate warming. This study is of great significance to reveal the recent drought and flood characteristics of the region.

Desalination projects play a vital role in the water supply of coastal regions with scarce water resources. The risks associated with desalination projects are worth investigating, especially for large-scale projects. This paper presents the risk identification and evaluation processes of large-scale desalination projects. Two levels of risk indicators are identified and the first-level risks include water intake and outfall risk, processing risk, financial risk and circumstance risk. With the identified risk indicators, an integrated fuzzy comprehensive evaluation (FCE) and analytic hierarchy process (AHP) method is introduced to conduct quantitative risk evaluations for large-scale desalination projects. Twenty experts in desalination-related fields are invited to vote to determine the weighting vectors for the FCE through the AHP. They also participate in deciding the membership matrixes in the FCE for three practical desalination projects. The evaluation results indicate that the overall risks of all the considered projects are at the “Very low” level. Finally, to diminish the potential risks, several instructions and recommendations are suggested that depend on the evaluation outcomes. It is expected that the current risk evaluation research will make remarkable contributions to the risk management and control of large-scale desalination projects and further promote the development of the desalination industry.

In recent years, the problem of waterlogging in Chinese cities has become increasingly serious, and it is extremely urgent to solve the problem of waterlogging. Urban rainwater storage plays an important role in the prevention and control of waterlogging disasters. The control effect of the internal control of the storage tank is closely related to its layout position. On the basis of comprehensive consideration of the hydrological mechanism for reducing rainwater floods and the requirements for urban flood control, the Huangbian City Village of Panyu District, Guangzhou City was taken as an example to construct a one-dimensional, two-dimensional, pipe network coupled hydrological hydrodynamic model to study urban locusts and the optimal arrangement of the storage tank. The results show that compared with the centralized storage tank is arranged at the lower section of the pipe network bottleneck section and waterlogging point, arranging the storage tank in the upper section of the bottle neck section and the upstream of waterlogging point can not only significantly reduce the drainage pressure of the pipe network, reduce the flood area of waterlogging, but also reduce the storage capacity of a single storage tank and improve the feasibility of engineering construction. The arrangement method can effectively realize the storage function of the storage tank.

Silicoaluminophosphate zeotype with LTA structure (SAPO-LTA) was prepared using ionothermal approach in commercial 1-ethyl-3-methyl imidazolium ([emim] + ) ionic liquid. 1 H→ 13 C CP/MAS NMR, TGA and CHN elementary analysis results demonstrated that ionic liquid acted as single organic template occluded in pairs in each α cage of the structure. SAPO-LTA exhibited high structural stability after detemplation with excellent BET surface area and microporous volume. Silica content in the products increased with that in the initial reactants with a maximum of SiO 2 wt% lower than 5%. 29 Si MAS NMR and NH 3 -TPD results further proved the incorporation of Si in the framework with improved acidity as compared with its aluminophosphate (AlPO) counterpart. SAPO-LTA was active in MTO reaction, showing higher butene and C 5+ product selectivity than that of SAPO-34 with CHA structure, and higher propene to ethylene and lower C 1 to C 4 alkane selectivity in comparison with that of high-silica LTA zeolite (LTA-HSZ). The deactivation of SAPO-LTA catalyst was due to the occlusion of bulky polyaromatic coke in the LTA structure, and could be perfectly recovered during three cycles of regeneration by high-temperature calcination.

The coastal area is the area where human activities are most frequent. Coastal waters provide rich resources for the development of human society. The current in coastal waters is affected by shoreline, buildings in water and tidal current. The scientific location of buildings in water is of great scientific and practical significance for the sustainable development and utilization of coastal zones. In this paper, the Jiu’ao Bay is taken as the object, and mathematical and physical models are used to simulate the influence of hydrodynamic force and water exchange capacity caused by different locations of intake. The simulation results show that after the construction of the water intake, the water flow is squeezed by the water intake, and the water flow is forced to deflect eastward, while the west side water flow is deflected to the south. The flow diversion of the rising tide is advanced, and the flow convergence of the falling tide is delayed. As a result, the water exchange capacity in Jiu’ao Bay is reduced. Compared with Scheme 1, the location of Scheme 2 is less hydrodynamic, so the impact is less.

A modern large-scale storage system usually consists of a number of distributed storage nodes, each of which is made up of many storage devices, like flash memory chips. To maintain the data integrity in the system, two independent layers of data protection mechanisms are deployed. At the system level, erasure codes, e.g., maximum distance separable (MDS) codes, are used across a set of storage nodes. At the device level, error-correcting codes (ECCs), e.g., Bose-Chaudhuri-Hocquenghem (BCH) codes, are employed in each flash memory chip. The main research goal of this dissertation is to design new erasure codes for distributed storage and new ECCs for flash memories. The first part of this dissertation is devoted to studying a new class of erasure codes called locally repairable codes (LRCs) for distributed storage. We focus on LRCs over small fields; in particular, the binary field. We investigate the locality of classical binary linear codes, e.g., BCH codes and Reed-Muller codes, and their modified versions. Then, we derive bounds for LRCs with availability and present several new code constructions for binary LRCs. In addition, we study erasure codes that can locally correct multiple erasures. Such codes are referred to as multi-erasure locally repairable codes (ME-LRCs). Our constructions based on generalized tensor product codes generate several families of optimal ME-LRCs over small fields. The second part of this dissertation aims to construct new ECCs and analyze the fundamental performance limits for flash memories. We propose a general framework for constructing rate-compatible ECCs which are capable of adapting different error-correcting capabilities to the corresponding bit error rates at different program/erase (P/E) cycles. Next, we present a new family of shared-redundancy ECCs called ladder codes. Using ladder codes, multiple codewords from good and bad pages in a flash memory block can share some common redundancy. Finally, based on the channel models obtained from empirical data, the performance of multilevel flash memories is studied by using multi-user information theory. The results provide qualitative insight into effective coding solutions.

p-Chloronitrobenzene (p-CNB) is a persistent refractory and toxic pollutant with a concentration up to 200 mg/L in industrial wastewater. Here, a super-fast removal rate was found at 0.2–0.8 V of external voltage over a p-CNB concentration of 40–120 mg/L when a bioelectrochemical technology is used comparing to the natural biodegradation and electrochemical methods. The reduction kinetics (k) was fitted well according to pseudo-first order model with respect to the different initial concentration, indicating a 1.12-fold decrease from 1.80 to 0.85 h−1 within the experimental range. Meanwhile, the highest k was provided at 0.5 V with the characteristic of energy saving. It was revealed that the functional bacterial (Propionimicrobium, Desulfovibrio, Halanaerobium, Desulfobacterales) was selectively enriched under electro-stimulation, which possibly processed Cl-substituted nitro-aromatics reduction. The possible degradation pathway was also proposed. This work provides the beneficial choice on the rapid treatment of high-concentration p-CNB wastewater.

Erasure codes play an important role in storage systems to prevent data loss. In this work, we study a class of erasure codes called Multi-Erasure Locally Recoverable Codes (ME-LRCs) for flash memory array. Compared to previous related works, we focus on the construction of ME-LRCs over small fields. We first develop upper and lower bounds on the minimum distance of ME-LRCs. These bounds explicitly take the field size into account. Our main contribution is to propose a general construction of ME-LRCs based on generalized tensor product codes, and study their erasure-correcting property. A decoding algorithm tailored for erasure recovery is given. We then prove that our construction yields optimal ME-LRCs with a wide range of code parameters. Finally, we present several families of ME-LRCs over different fields., Comment: Submitted to ISIT 2017

The Taiwan Strait is the gateway used by ships of almost every kind on passage to and from nearly all the important ports in Northeast Asia. To minimize the possibility of collisions between crossing and through traffic, Precaution Areas (PAs) were laid out to remind mariners where the crossing and encountering situations may occur in the strait. Recent advances in telemetry technology help to collect ships movement data more efficiently and accurately. These advances would be useful for delineating Principal Fairways (PFs) in the crowded strait-corridor. Based on ship trajectory observations of transit-passage and cross-strait transits, cumulative activity patterns are characterized in the form of probability density. Bringing the layer of popular direct cross-strait lanes to the iso-surface of PFs, all conflict areas were extracted as PAs of the Ships Routing System Plan in Taiwan Strait. For direct cross-strait transportations, by linking the centers of PAs in the strait with the official pass points outside the western Taiwan harbors, this paper recommends the applicable direct cross-strait routes to reduce the risk of conflicts in the strait.

Liquid membrane applied in soil has a good soil moisture conservation and evaporation suppression performance. Application of spectrum analysis technology to understand its structure and micro morphological characteristics will be help to reveal the soil moisture conservation mechanism of liquid membrane. In this paper, we used the three types of liquid membrane as the research object based on the laboratory preparation, with infrared spectrometer (FTIR) and environmental scanning electron microscope (ESEM) as the means, analysis the soil moisture mechanism of liquid membrane. The results showed that the -OH between the CMC and PVA generated intermolecular hydrogen bonds, the formation of hydrogen bonds between molecules of the two components strengthened the two-phase’s compatibility, increasing the liquid membrane’s effective groups and forming a dense mesh structure.ESEM observation showed that liquid membrane can effectively cementing soil particles, generating the soil-membrane structure, reducing soil moisture to evaporate, improve soil moisture conservation performance.

Corrosion damage in three types of concrete (C25, C45, and C55), resulting from HCl with various contents, was investigated by comparing the mechanical properties of different types of concrete and their corrosion damage. The test samples that were cured for 360 days were exposed in an aggressive environment (with 5%, 10%, 15%, and 20% HCl content, respectively) for 24 h. The mass loss, the dynamic modulus loss, the flexural strength, and the compressive strength were measured using a series of the etched samples. The results indicate that the mechanical properties of concrete were degraded with the increasing HCl content of the corrosion medium. The etched samples of both the high- (C55) and normal-strength concretes (C25) exhibited the similar degradation of compressive strength. On the other hand, due to its greater sensitivity to defects when bending load is applied, bending strength showed greater decline in the high- than in the normal-strength concrete, which has greater loss of mass and elastic modulus.

Recently, physical layer security based approaches have drawn considerable attentions and are envisaged to provide secure communications in the wireless networks. However, most existing literatures only focus on the physical layer. Thus, how to design an effective transmission scheme which also considers the requirements from the upper layers is still an unsolved problem. We consider such cross-layer resource allocation problem in the multi-user downlink environment for both having instantaneous and partial eavesdropping channel information scenarios. The problem is first formulated in a new security framework. Then, the control scheme is designed to maximize the average admission rate of the data, incorporating delay, power, and secrecy as constraints, for both non-colluding and colluding eavesdropping cases in each scenario. Performance analysis is given based on the stochastic optimization theory and the simulations are carried out to validate the effectiveness of our scheme., 22 pages