In this paper, we consider the classification problem for critical points of relative isoperimetric-type problem in the half-space. Under certain regularity assumption, we prove an Alexandrov-type theorem for the sing...
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In this paper, we establish monotonicity formulas for capillary surfaces in the half-space R3+ and in the unit ball B3 and extend the result of Volkmann [27] for surfaces with free boundary. As applications, we obtain...
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In this paper, we establish a Heintze-Karcher-type inequality for hypersurfaces with capillary boundary of contact angle theta is an element of(0, pi\2] in the half-space or a half ball, by using solution to a mixed b...
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In this paper, we establish a Heintze-Karcher-type inequality for hypersurfaces with capillary boundary of contact angle theta is an element of(0, pi\2] in the half-space or a half ball, by using solution to a mixed boundary value problem in Reilly type formula. Consequently, we give a new proof of Alexandrov-type theorem for embedded capillary constant mean curvature hypersurfaces with contact angle theta is an element of(0, pi\2] in the half-space or a half ball.
In this note, we establish a boundary maximum principle for a class of stationary pairs of varifolds satisfying a fixed contact angle condition in any compact Riemannian manifold with smooth *** Codes 53C42, 49Q15 Cop...
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作者：
Dong, WeijiaJi, XuanAn, ChuanbinXu, Chenhuizhang, xuwenZhao, BinLiu, YuqianWang, ShiyuYu, XiLiu, XinjunHan, YangGeng, YanhouTianjin Univ
Sch Mat Sci & Engn Tianjin Key Lab Mol Optoelect Sci Minist EducCollaborat Innovat Ctr Chem Sci & Engn Tianjin 300350 Peoples R China Tianjin Univ
Collaborat Innovat Ctr Chem Sci & Engn Tianjin Key Lab Organ Integrated Circuits Minist Educ Tianjin Peoples R China Tianjin Univ
Sch Sci Dept Chem Key Lab Organ Integrated CircuitMinist Educ Tianjin 300072 Peoples R China Tianjin Univ
Sch Sci Dept Chem Tianjin Key Lab Mol Optoelect Sci Tianjin 300072 Peoples R China Tianjin Univ
Joint Sch Natl Univ Singapore & Tianjin Univ Int Campus Fuzhou Peoples R China Trina Solar
State Key Lab Photovolta Sci & Technol Changzhou Peoples R China Tianjin Univ
Fac Sci Tianjin Key Lab Low Dimens Mat Phys & Preparat Tec Tianjin 300354 Peoples R China
Organic memristors, integrating chemically designed resistive switching and mechanical flexibility, present promising hardware opportunities for neuromorphic computing, particularly in the development of next-generati...
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Organic memristors, integrating chemically designed resistive switching and mechanical flexibility, present promising hardware opportunities for neuromorphic computing, particularly in the development of next-generation wearable artificial intelligence devices. However, challenges persist in achieving high yield, controllable switching, and multi-modal information processing. In this study, we introduce an efficient distribution of conversion bridges (EDCB) strategy by dispersing organic semiconductor (poly[2,5-bis(3-tetradecylthiophen-2-yl)thieno[3,2-b]thiophene], PBTTT) in elastomer (polystyrene-block-poly(ethylene-ran-butylene)-block-polystyrene, SEBS). This innovative approach results in memristors with exceptional yield, high stretchability, and reliable switching performance. By fine-tuning the semiconductor content, we shift the primary charge carriers from ions to electrons, realizing modulable non-volatile, and volatile duo-mode memristors. This advancement enables multi-modal signal processing at distinct operational mechanisms-non-volatile mode for image recognition in convolutional neural networks (CNNs) and volatile mode for dynamic classification and prediction in reservoir computing (RC). A fully analog RC hardware system is further demonstrated by integrating the distinct volatile and non-volatile modes of the EDCB-based memristor into the dynamic neuron network and the linear regression layer of the RC respectively, achieving high accuracy in online arrhythmia detection tasks. Our work paves the way for high-yield organic memristors with mechanical flexibility, advancing efficient multi-mode neuromorphic computing within a unified memristor system integrating volatile and non-volatile ***
Two conjugated polymers (CPs) Fu-F and Fu-Cl that are soluble in a green solvent anisole were successfully synthesized via direct arylation polycondensation (DArP) using a furan-flanked diketopyrrolopyrrole (DPP) deri...
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Two conjugated polymers (CPs) Fu-F and Fu-Cl that are soluble in a green solvent anisole were successfully synthesized via direct arylation polycondensation (DArP) using a furan-flanked diketopyrrolopyrrole (DPP) derivative (FDPP-Br) as the C-Br monomer and (E)-1,2-bis(3,4-difluorothien-2-yl)ethene (4FTVT) or (E)-1,2-bis(3,4-dichlorothien-2-yl)ethene (4ClTVT) as the C-H monomer. With anisole as the processing solvent and polyethylenimine ethoxylated (PEIE) as the electrode modification layer, n-type organic thin-film transistors (OTFTs) of the polymers were fabricated via bar-coating. The electron mobility (mu(e)) of the devices based on Fu-Cl was only in the magnitude of 10(-2) cm(2) V-1 s(-1), owing to the unfavoured fine granular film morphology. In contrast, Fu-F films showed fibre-like morphology with the polymer chains aligned along the bar-coating direction, which is favourable for the charge transport in OTFTs. Therefore, Fu-F delivered much better device performance with the mu(e) of up to 2.79 cm(2) V-1 s(-1). Our study demonstrates that green solvent processed high mobility CPs can be synthesized by DArP, an emerging eco-friendly protocol for the synthesis of CPs.
In recent years, the development of the rural cooperative economy, the government and how to develop. At present, the coordinated development of rural revitalization and urbanization cannot be separated from the revit...
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In recent years, the development of the rural cooperative economy, the government and how to develop. At present, the coordinated development of rural revitalization and urbanization cannot be separated from the revitalization of the rural economy, which means that how to develop the rural cooperative economy has become an important issue of the current rural revitalization. This project is based on discussing how to develop the rural cooperative economy in northern Anhui. Through literature collection, field investigation and research, data analysis and sorting, combined with the advantages of rural areas in northern Anhui, it analyzes the current bottleneck of development and the factors restricting the development of rural cooperative economy in northern Anhui. Based on the basic situation of the rural cooperative economic development, the country and the Anhui province introduced support of rural cooperative economic development policy with the north of rural cooperative economic development actual situation, on the basis of a series of north of rural cooperative economy development quality countermeasures and Suggestions, innovative to develop two village mutual learning evaluation mechanism, promote land adoption agriculture, construction live help farmers base countermeasures, such as policy support, resources as a whole, innovation consciousness gives the specific path of rural cooperative economic development.
In this paper we prove the following Willmore-type inequality: On an unbounded closed convex set K ⊂ Rn+1 (n ≥ 2), for any embedded hypersurface Σ ⊂ K with boundary ∂Σ ⊂ ∂K satisfying a certain contact angle condit...
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In this paper, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half...
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Higher education system is not only a complex nonlinear system, but also a complex adaptive system;Order and disorder is one of the most important concepts, the system works from disorderly to orderly is also an adapt...
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