There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

抗原变异可使得多种致病微生物易于逃避宿主免疫应答。表达在感染红细胞表面的恶性疟原虫红细胞表面蛋白1（PfPMP1）与感染红细胞、内皮细胞、树突状细胞以及胎盘的单个或多个受体作用，在黏附及免疫逃避中起关键的作用。每个单倍体基因组var基因家族编码约60种成员，通过启动转录不同的var基因变异体为抗原变异提供了分子基础。

疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A

Titanium Dioxide Nanomaterials: Synthesis, Properties, Modifications, and Applications

Fully exploiting the properties of graphene will require a method for the mass production of this remarkable material. Two main routes are possible: large-scale growth or large-scale exfoliation. Here, we demonstrate graphene dispersions with concentrations up to approximately 0.01 mg ml(-1), produced by dispersion and exfoliation of graphite in organic solvents such as N-methyl-pyrrolidone. This is possible because the energy required to exfoliate graphene is balanced by the solvent-graphene interaction for solvents whose surface energies match that of graphene. We confirm the presence of individual graphene sheets by Raman spectroscopy, transmission electron microscopy and electron diffraction. Our method results in a monolayer yield of approximately 1 wt%, which could potentially be improved to 7-12 wt% with further processing. The absence of defects or oxides is confirmed by X-ray photoelectron, infrared and Raman spectroscopies. We are able to produce semi-transparent conducting films and conducting composites. Solution processing of graphene opens up a range of potential large-area applications, from device and sensor fabrication to liquid-phase chemistry.

/pdf/high-yield-production-of-graphene-by-liquid-phase-z66xsivrg7.pdf

High-yield production of graphene by liquid-phase exfoliation of graphite

/pdf/the-onsager-machlup-action-functional-for-mckean-vlasov-2flsc69q.pdf

The Onsager-Machlup action functional for McKean-Vlasov stochastic differential equations

Preparation of regenerated cellulose fibers by microfluidic spinning technology using ionic liquids as the solvents

Stochastics and DynamicsVol. 22, No. 08, 2202004 (2022) No AccessPreface – Special issue: Random dynamicsHongjun Gao, Björn Schmalfuss, and Wei WangHongjun GaoSchool of Mathematics, Southeast University, Nanjing, P. R. China, Björn SchmalfussInstitut für Mathematik, Friedrich-Schiller-Universität Jena, Germany, and Wei WangDepartment of Mathematics, Nanjing University, Nanjing, P. R. ChinaE-mail Address: [email protected]Corresponding author.https://doi.org/10.1142/S021949372202004XCited by:0 Next This article is part of the issue: Special Issue: Random Dynamics Guest Editors: Hongjun Gao, Björn Schmalfuss and Wei Wang AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Dedicated to the 60th birthday of Professor Jinqiao Duan FiguresReferencesRelatedDetails Recommended Vol. 22, No. 08 Metrics History Received 27 December 2022 Accepted 27 December 2022 Published: 26 January 2023 PDF download 

Special issue: Random dynamics

In this paper, the existence and uniqueness of almost automorphic solutions in distribution to McKean–Vlasov stochastic differential equations are established provided the coeffcients satisfy some suitable conditions. The asymptotic stability of the unique almost automorphic distribution solution is discussed in the square-mean sense. Finally, some examples are provided to illustrate our results. 

Stability of almost automorphic solutions for McKean–Vlasov SDEs

Graphene (G), a two-dimensional crystal of carbon atoms arranged in the honeycomb structure, shows extraordinary physical properties such as outstanding electronic mobility, higher than silicon or copper, it is one of the strongest materials found in nature, only comparable to diamond, and at the same time one of the softest, being a unique example of a metallic membrane. We have developed a new strategy for graphene growth on metallic Ru(0001) followed by silicon-layer intercalation that not only weakens the interaction of graphene with the metal substrate but also retains its superlative properties. This G/Si/Ru architecture, produced by silicon-layer intercalation approach (SIA), was characterized and experiments have shown the high structural and electronic qualities of this new composite, and the striking differences between this material from graphene obtained by previous methods. The SIA eliminates the need for the graphene transfer and also allows for an atomic control of the distance between the graphene and the metal gate, opening doors for a new generation of graphene-based materials with tailored properties.

Hong-Jun Gao

Papers

The Onsager-Machlup action functional for McKean-Vlasov stochastic differential equations

Preparation of regenerated cellulose fibers by microfluidic spinning technology using ionic liquids as the solvents

Special issue: Random dynamics

Stability of almost automorphic solutions for McKean–Vlasov SDEs

Growth of Centimeter-scale, Highly-ordered, and Continuous Graphene on Si-Layer/Metal Surfaces