Experiments with capillary columns having unconventional cross-sectional geometry

The potentials of unconventional capillary columns, e.g. flat, crinkled, whisker and helically coiled open-tubular columns (HOT columns) were evaluated. In comparison to circular columns, no improvement in the column performance, when used under normal capillary GC circumstances, could be observed.     

平顶光端面抽运DPL中热效应对输出功率的影响

用平顶光束描述由多根光纤紧密排列耦合并经透镜整形后的抽运光分布，给出了平顶光束的光强分布，对晶体热效应引起的热致衍射损耗随抽运功率和抽运光束半径的变化规律进行了数值计算，讨论了晶体热效应引起的热致衍射损耗对基横模高斯光束输出功率的影响，并实验验证了基横模高斯光束输出功率随抽运功率的变化规律．结果表明：热致衍射损耗使基横模高斯光束输出功率明显降低．随着抽运光束半径的增大，热致衍射损耗减小，对基横模高斯光束输出功率的影响就减小；抽运功率越大，热致衍射损耗越大，对基横模高斯光束输出功率的影响就越大．     

Prediction of strength using flat cylindrical indentation method

Strength of structural components is predicted. Two cases have been studied to explore the possibility of determining the damage level of the materials by the flat cylindrical indentation method with the help of the finite element method (FEM). The first uses the Gurson model for analyzing the elastic–plastic damage. The second uses the Katchanov–Robotnov law to predict the creep damage. The analytical results show that the damage levels can be determined by the flat cylindrical indentation experimental method.     

非牛顿幂律流体绕可渗透平板非定常流动的相似解

文（１）研究了平板表面吸吮速度按照某一规律变化时，非牛顿幂律流体绕可渗透平板非定常流动的运动方程的相似解。本文补充研究吸吮速度按照其它一些规律变化时该问题的准确的或近似的相似解。     

Union bounds on the symbol error probability of LoRa modulation for flat Rician block fading channels

In this paper the symbol error performance of LoRa modulation is addressed for flat Rician block fading channels. First the exact symbol error probability of the LoRa modulation on Rician fading is derived. Then the upper and lower union bounds are employed on the derived symbol error probability. The proposed bounds are compared against the exact symbol error probability, the numerical evaluation of the symbol error probability and the state-of-art approximation of the LoRa symbol error probability. Numerical results show that while the proposed upper bound is very tight to the exact symbol error probability, there is approximately a 2.5 dB gap for the lower bound.     

Estimation of Flat‐topped Gaussian distribution with application in system identification

Uniformly distributed uncertainty exists in industrial process; additive error introduced by quantization is an example. To be able to handle additive uniform and Gaussian measurement uncertainty simultaneously in system identification, the Flat‐topped Gaussian distribution is considered in this paper as an alternative to the Gaussian distribution. To incorporate this type of uncertainty in the maximum likelihood estimation framework, the explicit form of its density function is of necessity. This work proposes an approach for obtaining both the functional structure and corresponding parameter estimation of Flat‐topped Gaussian distribution by a moment fitting strategy. The performance of the proposed approximation function is verified by comparison to the Flat‐topped Gaussian distributed random variable with different Gaussian and uniform components. Results of numerical simulations and industrial applications in system identification are presented to verify the effectiveness of the Flat‐topped Gaussian distribution for noise distribution in handling additional uniform uncertainty.     

A Higgs bundle on a Hermitian symmetric space

Let \(M := \Gamma\backslash G/K\) be the quotient of an irreducible Hermitian symmetric space G/K by a torsionfree cocompact lattice \(\Gamma\subset G\) . There is a natural flat principal G-bundle over the compact Kähler manifold M which is constructed from the principal Γ-bundle over M defined by the quotient map \(G/K\longrightarrow M\) . We construct the principal G-Higgs bundle over M corresponding to this flat G-bundle. This principal G-Higgs bundle is rigid if \({\rm dim}_\mathbb{C} M\,\geq\,2\) .     

Flat nearly Kähler manifolds

We classify flat strict nearly Kähler manifolds with (necessarily) indefinite metric. Any such manifold is locally the product of a flat pseudo-Kähler factor of maximal dimension and a strict flat nearly Kähler manifold of split signature (2m, 2m) with m ≥ 3. Moreover, the geometry of the second factor is encoded in a complex three-form $\zeta \in \Lambda^3 (\mathbb{C}^m)^*We classify flat strict nearly K?hler manifolds with (necessarily) indefinite metric. Any such manifold is locally the product of a flat pseudo-K?hler factor of maximal dimension and a strict flat nearly K?hler manifold of split signature (2m, 2m) with m ≥ 3. Moreover, the geometry of the second factor is encoded in a complex three-form . The first nontrivial example occurs in dimension 4m = 12.      

Effects of the side walls on unsteady flow of a second grade fluid over a plane wall

The effects of the side walls on unsteady flow of a second grade fluid over a plan wall are considered. The solution of the governing equation for velocity is obtained by the sine transform method. This gives a correct result for the shear stress at the bottom wall. The shear stress at the bottom wall is minimum at the middle of the plate and it increases near the side walls. It is shown that the mean thickness of the layer of the liquid over the plate increases with time and the ratio of the mean thickness to the distance between the side walls becomes ultimately 0.2714.     

Derived Functors of Hom Relative to Flat Covers

We study the derived functors of Hom that are computed by using flat resolutions of Hom. These are denoted ⁿ. We compare these with the usual Extⁿ's and show that ¹⊂ Ext¹and indicate (using MacLane's terminology) why the class of associated short exact sequences is a proper class. When the ring is a Dedekind domain we classify the N such that ⁿ(–, N) = 0 and show that unlike the situation for other classically defined right derived functors of Hom, Hom is not balanced relative to the two classes of modules that make ¹ vanish.