Muckenhoupt weights and Lindelöf theorem for harmonic mappings

We extend the result of Lavrentiev which asserts that the harmonic measure and the arc-length measure are _A∞$A_{\infty }$ equivalent in a chord-arc Jordan domain. By using this result we extend the classical result of Lindelöf to the class of quasiconformal (q.c.) harmonic mappings by proving the following assertion. Assume that f is a quasiconformal harmonic mapping of the unit disk U onto a Jordan domain. Then the function A(z)=arg?(_∂φ(f(z))/z)$A(z)=\arg ?({\partial }_{\phi }(f(z))/z)$ where z=re^iφ$z=r{e}^{i\phi }$, is well-defined and smooth in U^?={z:0<|z|<1}${\mathbf{U}}^{?}=\{z:0<|z|<1\}$ and has a continuous extension to the boundary of the unit disk if and only if the image domain has C¹$C^1$ boundary.     

Nickel‐Catalyzed C?H Alkylations: Direct Secondary Alkylations and Trifluoroethylations of Arenes

A versatile nickel catalyst allowed for C H alkylations of unactivated arenes with challenging secondary alkyl bromides and chlorides. The high catalytic efficacy also set the stage for direct secondary alkylations of indoles as well as C H trifluoroethylations with ample substrate scope.     

Direct Derivation of Free Energies of Membrane Deformation and Other Solvent Density Variations From Enhanced Sampling Molecular Dynamics

We report a methodology to calculate the free energy of a shape transformation in a lipid membrane directly from a molecular dynamics simulation. The bilayer need not be homogeneous or symmetric and can be atomically detailed or coarse grained. The method is based on a collective variable that quantifies the similarity between the membrane and a set of predefined density distributions. Enhanced sampling of this “Multi-Map” variable re-shapes the bilayer and permits the derivation of the corresponding potential of mean force. Calculated energies thus reflect the dynamic interplay of atoms and molecules, rather than postulated effects. Evaluation of deformations of different shape, amplitude, and range demonstrates that the macroscopic bending modulus assumed by the Helfrich–Canham model is increasingly unsuitable below the 100-Å scale. In this range of major biological significance, direct free-energy calculations reveal a much greater plasticity. We also quantify the stiffening effect of cholesterol on bilayers of different composition and compare with experiments. Lastly, we illustrate how this approach facilitates analysis of other solvent reorganization processes, such as hydrophobic hydration. Published 2019. This article is a U.S. Government work and is in the public domain in the USA.     

A Single‐Atom Manipulation Approach for Synthesis of Atomically Mixed Nanoalloys as Efficient Catalysts

Synthesis of well‐defined atomically mixed alloy nanoparticles on desired substrates is an ultimate goal for their practical application. Herein we report a general approach for preparing atomically mixed AuPt, AuPd, PtPd, AuPtPd NAs(nanoalloys) through single‐atom level manipulation. By utilizing the ubiquitous tendency of aggregation of single atoms into nanoparticles at elevated temperatures, we have synthesized nanoalloys on a solid solvent with CeO₂ as a carrier and transition‐metal single atoms as an intermediate state. The supported nanoalloys/CeO₂ with ultra‐low noble metal content (containing 0.2 wt % Au and 0.2 wt % Pt) exhibit enhanced catalytic performance towards complete CO oxidation at room temperature and remarkable thermostability. This work provides a general strategy for facile and rapid synthesis of well‐defined atomically mixed nanoalloys that can be applied for a range of emerging techniques.     

Potential release of hydrogen fluoride from domestic coal in endemic fluorosis area in Guizhou,China

Almost half of the total rural area of Guizhou Province and many regions within the 11 adjacent provinces in southwestern China have a long history(at least 70 years) of endemic fluorosis,including dental fluorosis and osteofluorosis along with its associated deformities and disabilities.Over decades of research,this specific type of endemic fluorosis has been defined as coal-burning fluorosis,which is distinct from drinking-water fluorosis.It is generally acknowledged that indoor burning and combustion of high-fluorine coal leads to food contamination,and fluorine then enters the human body.However,the exact chemical form of fluorine during its release and transfer to the body is still unknown.In the present study,21 domestic coal samples from outcrop and semi-outcrop coal collected in five villages with fluorosis were analyzed by time-of-flight secondary ion mass spectrometry(TOF-SIMS).The total mass fraction of sulfur in the samples ranged from 0.24%-5.58% and total fluorine content ranged 90.2-149.2 mg/kg.H3O+,H2SO4+ and HSO4-were detected in the samples by TOF-SIMS,which indicated that sulfuric acid hydrate(H2SO4.H2O) was present in the samples.F-was detected in all of these,which suggested the samples contain ionic fluorine compounds.Under certain circumstances,such as heating or burning,the prevalence and coexistence of the acid(H2SO4.H2O) and base(F-) would lead to a neutralization reaction producing volatile hydrogen fluoride(HF,bp = 19.5℃).This would be the chemical form of fluorine released from the coal.Further studies using HF and SO2 test tubes on headspace gas over coal samples heated to 200℃ in the laboratory and on headspace gas over stoves or chimney tops at rural residences confirmed the release of HF.     

喜鹊在山地次生林中鸟类群落组织结构形成的作用

通过山地次生林鸟类群落组织结构的研究,表明喜鹊在鸟类群落组织形成中是关键类群之一.关键类群是通过巢地资源的被利用来实现的.5年中,利用喜鹊巢繁殖的鸟类达5种,利用率为25%~40.7%.     

(～ρ)混合阵列加权和的收敛性

利用(～ρ)混合序列的一个矩不等式,得出了(～ρ)混合阵列加权和在Cesàro一致可积性假设条件下的Lr收敛性及弱大数定律和在弱于Cesàro一致可积性条件下(～ρ)混合阵列加权和的完全收敛性.     

填埋场次压缩沉降的室内复合模型研究

从有限应变理论假设出发,在Kelvin模型的基础上推导出填埋场室内应力压缩模型.将该模型与简化的生物降解模型相结合可得到填埋场室内次压缩沉降模拟试验的复合模型.该复合模型既考虑了应力沉降的机理,又考虑了有机质降解产生沉降的机理,在考虑合适参数的条件下,计算值与实测值较为符合,可以为填埋场次沉降计算提供依据.     

地区产业梯度转移拐点出现时间分析

文章通过分析对比改革开放以来我国四大经济区域三次产业产值占GDP比重的增幅情况,指出20世纪90年代初我国地区产业梯度转移出现了拐点;通过对四大区域三次产业从业人员变动幅度的比较分析,进一步验证了结论。     

侧射式天线阵和端射式天线阵的角分布

天线阵的辐射角问题是电磁波辐射的重要内容,也是电磁场理论与实际问题相联系的重要范例。文章对侧射式天线阵和端射式天线阵的最大辐射方向、主瓣宽度和副极大辐射方向进行了研究和比较,并作了理论上的探索。设计者可以根据需要调节天线阵的角分布,以提高天线阵的定向性能及其抗干扰性。