Approximation of mild solutions of the linear and nonlinear elliptic equations

In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form $$\frac{\partial^{2}}{\partial t^{2}}u\left(t\right)=\mathcal{A}u\left(t\right)+f\left(t,u\left(t\right)\right),\quad t\in\left[0,T\right],$$ where $\mathcal{A}$ is a positive-definite, self-adjoint operator with compact inverse. As we know, these problems are well-known to be ill-posed. On account of the orthonormal eigenbasis and the corresponding eigenvalues related to the operator, the method of separation of variables is used to show the solution in series representation. Thereby, we propose a modified method and show error estimations in many accepted cases. For illustration, two numerical examples, a modified Helmholtz equation and an elliptic sine-Gordon equation, are constructed to demonstrate the feasibility and efficiency of the proposed method.Comment: 29 pages, 16 figures, July 201

Synthesis and Investigation of the Physical Properties of Lead-Free BCZT Ceramics

This work presents the structure, microstructure, and physical properties of low sintering temperature lead-free ceramics 0.52(Ba0.7Ca0.3)TiO3-0.48Ba(Zr0.2Ti0.8)O3 doped with nano-sized ZnO particles (noted as BCZT/x, x is the content of ZnO nanoparticles in wt.%, x = 0.00, 0.05, 0.10, 0.15, 0.20, and 0.25). The obtained results of Raman scattering and dielectric measurements have confirmed that Zn2+ has occupied B-site, to cause a deformation in the ABO3-type lattice of the BCZT/x specimens. The 0.15 wt.% ZnO-modified ceramic sintered at 1350°C exhibited excellent piezoelectric parameters: d33 = 420 pC/N, d31 = −174 pC/N, kp = 0.483, kt = 0.423, and k33 = 0.571. The obtained results indicate that the high-quality lead-free BCZT ceramic could be successfully synthesized at a low sintering temperature of 1350°C with an addition of appropriated amount of ZnO nanoparticles. This work also reports the influence of the sintering temperature on structure, microstructure, and piezoelectric properties of BCZT/0.15 compound. By rising sintering temperature, the piezoelectric behaviors were improved and rose up to the best parameters at a sintering temperature of 1450°C (d33 = 576 pC/N and kp = 0.55). The corresponding properties of undoped BCZT ceramics were investigated as a comparison. It also presented that the sintering behavior and piezo-parameters of doped BCZT samples are better than the undoped BCZT samples at each sintering temperature

The Impact of Personal Financial Literacy on the Choice of Lending Channel by Vietnamese Householders Who Just Escaped Poverty

Purpose: The Newly-Escaped-Poverty-List householders (NEPLH) in Vietnam served as the survey subjects for this study, which sought to determine the impact of "Personal Financial Literacy" on "The Probability of Using Lending Services of Vietnam Bank for Social Policies (P_VBSP)" and "The Probability of Using Informal Private Lending Services (P_ILC)".   Design/methodology/approach: Survey data were collected from 186 respondents, by structured online questionnaire with convenient non-probability sampling technique.  Aspects of personal financial literacy (FLi) such as personal financial knowledge (FL1), personal financial skills (FL2), personal financial attitude (FL3), and personal financial behavior (FL4) are measured. When respondents were divided into groups based on subgroup criteria (CVj), such as gender, age, marital status, role in the family, career, education level, religion, and number of years since being removed from the list of poor households, ANOVA techniques were used to examine differences in various aspects of personal financial literacy. The impact of FLi and subgroup variables (CVj) on P_VBSP and P_ILC was assessed using the binary logistic regression analysis technique.   Findings: Research results show that  there is a statistical difference in the average score of FL1, FL2, FL3 and FL4. The research findings also show that FL2, FL4, and "Career Status – CAR" have a positive impact on P_VBSP, while "Aged group - AGE", "Education level - EDU", and "Number of years since being removed from the list of poor households - YEAR" have a negative impact on P_VBSP. Meanwhile, the P_ILC is positive influenced by the AGE factor and moves in the opposite direction of FL2, FL4, EDU, and YEAR.   Research, Practical & Social implications: The research findings provide the basis for governance implications as well as policy recommendations to promote financial literacy among the NEPLH in Vietnam, encouraging them access policy lending services from the Vietnam Bank for Social Policies, and at the same time help them stay away from informal private lending services, thereby helping them to reduce poverty and achieve sustainable economic development family.   Originality/value: A theoretical framework for personal finance literacy, including (i) financial knowledge, (ii) financial attitude, (iii) financial skills, and (iv) financial behavior, has been developed by the authors after reviewing earlier studies. At the same time, it is more significant to measure financial literacy by objective assessment than relying on the subjective self-assessment of each respondent in the context of actual study in Vietnam. In the model analyzing the influence of personal financial literacy on the decision of Newly-Escaped-Poverty-List householders in choosing the Vietnam Bank for Social Policies or Informal Private Credit Channels, the authors also took into account additional factors including gender, age group, marital status, role in the family, career, education level, religion, and number of years since being removed from the list of poor households

HYCEDIS: HYbrid Confidence Engine for Deep Document Intelligence System

Measuring the confidence of AI models is critical for safely deploying AI in real-world industrial systems. One important application of confidence measurement is information extraction from scanned documents. However, there exists no solution to provide reliable confidence score for current state-of-the-art deep-learning-based information extractors. In this paper, we propose a complete and novel architecture to measure confidence of current deep learning models in document information extraction task. Our architecture consists of a Multi-modal Conformal Predictor and a Variational Cluster-oriented Anomaly Detector, trained to faithfully estimate its confidence on its outputs without the need of host models modification. We evaluate our architecture on real-wold datasets, not only outperforming competing confidence estimators by a huge margin but also demonstrating generalization ability to out-of-distribution data.Comment: Document Intelligence @ KDD 2021 Worksho

Habenaria diphylla (Nimmo) Dalzell (Orchidaceae), new record for the flora of Vietnam

Habenaria diphylla (Nimmo) Dalzell is reported for the first time as a new discovery for the flora of Vietnam based on the specimens collected in Binh Chau-Phuoc Buu Nature Reserve, Ba Ria-Vung Tau Province. The present study provided the detailed characteristics of the species including detailed photographs of the morphological characteristics, the cross section of the leaf, inflorescence axis and root. Furthermore, the information about the species, including distribution, habitat, ecology and conservation status were also provided

Clinical Characteristics and Histopathology of Idiopathic Epiretinal Membrane in Vietnam

BACKGROUND: Idiopathic epiretinal membrane (iERM) is an avascular proliferation of different types of cells between the posterior vitreous cortex and the internal limiting membrane. That causes visual impairment including blurry, distortion, scotoma. Many studies of iERM were done to describe the clinical characteristics and investigate the histopathology of this disease. Nonetheless, there has not been a study of iERM histopathology in Vietnam. AIMS: To describe clinical characteristics and histopathological results of idiopathic retinal membrane and the association between them. METHODS: A cross sectional decriptive study of 35 iERMs (33 patients) in Vietnam National Institute of Ophthalmology (VNIO). RESULTS: High morbidity incidence was in group age >50 years (32/35), female gender (26/35), limited movement works (27/35), and high educational levels (28/35). Distortion was the highest (77.14%), scotoma and floater was less frequent (28.5%, 45.7%). Macular edema in all cases and PVD and exudate were high frequent (65.7%, 62.8%). Symptom duration was 8.2 ± 4.7 months, (1-21 months). Mean of central macular thickness was 468.51 ± 97.24 µm (656-274 µm). Six types of cell were detected, including glial cell (35/35), fibroblast (23/35), myofibroblast (23/35), macrophage (13/35), lymphocyte (5/35) and neutrophil (2/35). The number of cell types in one sample ranged from 1-5 types (2.85 ± 1.28 cell types). Number of cell types were correlated to symptom duration (r = 0.47, p = 0.004, Pearson's test) and central macular thickness (r = 0.72, p < 0.001, Pearson's test). CONCLUSION: There were 6 types of cells in iERM. Glial cell was the most frequent cell, inflammatory cells (macrophage, lymphocyte, neutrophil) was also detected. The number of cell types was stastitically correlated to symptom duration and CMT

Effect of nanosilica/chitosan hybrid on leaf blast and blight diseases of rice in Vietnam

Nanosilica/chitosan (NSi/CTS) hybrid material was prepared using nanosilica (32.5 nm) from rice husk ash (RHA) and chitosan (CTS), and characterized by transmission electron microscopy (TEM), Fourier transform infrared spectroscopy (FTIR), X-ray diffraction (XRD). The obtained NSi/CTS was used for protection of rice leaf from blast disease (Piriculariaoryzae) and blight disease (Xanthomonasoryzae). Results indicated that foliar spraying of NSi/CTS with 100 ppm NSiand150 ppm CTS were effective against blast and blight diseases on rice (Oryza spp.). The leaf blast disease index (DI) (1.49 %) and the blight DI (1.45 %) were significantly decreased compared with control of 8.08 % and 9.29 %, respectively at 14th day after the first treatment. Thus, NSi/CTS hybrid material is promising to use for controlling plant diseases, particularly for rice

QUÁ TRÌNH CHUYỂN PHA PHI CÂN BẰNG CỦA VẬT LIỆU HAI CHIỀU PENTA-GRAPHENE

Graphene has received enormous attention in the semiconductor industry during the last two decades. However, since graphene is a gapless semiconductor, it has critical challenges to be engineered into semiconductor devices. Recent reports have shown that penta-graphene stands out as a promising semiconductor candidate with an electronic bandgap between 2.2 and 4.3 eV; thus, it can surmount graphene’s obstacles. However, when being heated, penta-graphene can transform its configurations from pentagonal lattices to hexagonal graphene-like heterostructures, resulting in a significant electronic modification. In this paper, we investigate the effect of heating rates on the non-equilibrium phase transition of a two-dimensional penta-graphene by using molecular dynamic simulations. We have shown that, with a fast-heating process, penta-graphene naturally transforms to graphene without a clear phase separation point. Nevertheless, with a sufficiently slow heating protocol, this transition is a first-order phase transition from a pentagonal to a more stable hexagonal configuration. These results provide the possibility to implement penta-graphene in future optoelectronic devices.Graphene đã được chứng minh là vật liệu mang tính đột phá cho ngành vật liệu bán dẫn. Tuy nhiên, với độ rộng vùng cấm gần như bằng không, graphene có những hạn chế nhất định khi được ứng dụng để chế tạo linh kiện điện tử. Các nghiên cứu gần đây cho thấy penta-graphene với độ rộng vùng cấm 2,2–4,3 eV và độ bền cơ – nhiệt cao có thể dung hòa nhược điểm của graphene. Tuy nhiên, khi bị nung nóng, penta-graphene có thể chuyển từ cấu trúc vòng 5 điển hình sang cấu trúc vòng 6 của graphene, nhưng điều kiện cụ thể để quá trình chuyển pha này hình thành vẫn chưa được nghiên cứu chi tiết. Trong bài báo này, chúng tôi nghiên cứu sự ảnh hưởng của tốc độ nung đến tính chất nhiệt động phi cân bằng của penta-graphene bằng phương pháp mô phỏng động học phân tử. Ở tốc độ nung lớn, penta-graphene sẽ dần chuyển sang graphene mà không có điểm chuyển pha rõ nét. Tuy nhiên, nếu penta-graphene được nung rất chậm, quá trình chuyển pha từ penta-graphene sang graphene là quá trình chuyển pha loại I với sự gián đoạn của thông số nhiệt động tại điểm chuyển pha. Kết quả này sẽ góp phần bổ sung các thông số kỹ thuật quan trọng trong việc ứng dụng vật liệu penta-graphene để chế tạo các linh kiện quang – điện tử trong tương lai

Pro-poor intervention strategies in irrigated agriculture in Asia: poverty in irrigated agriculture: issues and options: Vietnam

Irrigated farming / Poverty / Farm income / Irrigation management / Institutions / Legal aspects / Water rates / User charges / Participatory management / Privatization / Participatory rural appraisal / Performance indexes / Irrigation programs / Irrigation systems / Pumping / Irrigation canals / Social aspects / Economic aspects / Rivers / Hydrology / Dams / Households / Income / Regression analysis / Drainage / Cooperatives / Water delivery / Water distribution / Rice / Financing / Drought / Vietnam / Red River Delta / Nam Duong Irrigation System / Nam Thach Han Irrigation System / Han River