有机发光材料中的三重激发态

有机发光材料有望广泛应用于新一代柔性光电子器件。由于自旋多重性,有机分子发光材料 中单重激发态和三重激发态转换较慢,限制有机发光器件特别是电注入荧光器件的效率。我们介绍 下近年来通过分子设计操控激发不同时间尺度三重态的动力学来突破这一限制的策略,通过控制激 发单重态和激发三线态之间的电子耦合,利用热激子系间窜越、反向系间窜越、激发三重态稳定化 等过程能够有效提高有机发光材料的发光效率。在此基础上实现的热活化延迟荧光、有机长余辉发 光等在有机发光二极管、传感器、生物成像等领域有重要潜在应用价值。     

电力变压器绕组热点温度软测量技术研究

电力变压器是发电系统中最重要的设备之一,变压器绕组热点温度是影响绕组绝缘寿命和变压器过载运行的主要原因。传统的热电类比模型忽略了变压器各器件之间的温度差及其在运行中可能出现的冷却系统运行方式的改变,实际应用中存在一定的误差。因此,在热电类比模型和IEEE导则推荐的热点温升模型基础之上,提出了一种软测量模型。该模型充分考虑了运行中不同的变压器实际操作情况的不同,添加了辅助变量（油黏度、冷却风扇运行个数等）对主导变量进行计算和优化。模型的有效性通过与某ONAN自然油循环冷却方式的变压器的实际温升数据对比得到了验证,其仿真结果相比于IEEE导则推荐的热点温升模型,具有更加精确的预测能力和更高的暂态过程准确性。     

用遗传BP网络求高聚物的ZWT非线性粘弹方程的力学参数

结合遗传算法及BP神经网络的特点，构建了一个新的有机体-遗传BP网络，并对遗传BP网络进行了测试。结果表明遗传BP网络在收敛速度及收敛稳定性方面都有很好的效果。最后给出了一个用遗传BP网络求高聚物的ZWT方程的力学参数的实例。     

Persistence Approximation Property for Maximal Roe Algebras

Persistence approximation property was introduced by Hervé Oyono-Oyono and Guoliang Yu. This property provides a geometric obstruction to Baum-Connes conjecture. In this paper, the authors mainly discuss the persistence approximation property for maximal Roe algebras. They show that persistence approximation property of maximal Roe algebras follows from maximal coarse Baum-Connes conjecture. In particular, let X be a discrete metric space with bounded geometry, assume that X admits a fibred coar...     

Exceptions and characterization results for type‐1 λ‐designs

Let $X$ be a finite set with $v$ elements, called points and $\beta$ be a family of subsets of $X$, called blocks. A pair $\left(X,\beta \right)$ is called $\lambda$‐design whenever $\mid \beta \mid =\mid X\mid$ and

• 1. for all $B_i,B_j\in \beta ,i\ne j,\mid B_i\cap B_j\mid =\lambda$;
• 2. for all $B_j\in \beta ,\mid B_j\mid =k_j>\lambda$, and not all $k_j$ are equal.

The only known examples of $\lambda$‐designs are so‐called type‐1 designs, which are obtained from symmetric designs by a certain complementation procedure. Ryser and Woodall had independently conjectured that all $\lambda$‐designs are type‐1. Let $r,r^{*}?(r>r^{*})$ be replication numbers of a $\lambda$‐design $D=\left(X,\beta \right)$ and $g=\text{gcd}\left(r?1,r^{*}?1\right),m=\text{gcd}\left(\left(r?r^{*}\right)∕g,\lambda \right)$, and $m\prime =m$, if $m$ is odd and $m\prime =m∕2$, otherwise. For distinct points $x$ and $y$ of $D$, let $\lambda \left(x,y\right)$ denote the number of blocks of $X$ containing $x$ and $y$. We strengthen a lemma of S.S. Shrikhande and N.M. Singhi and use it to prove that if $\frac{r\left(r?1\right)}{\left(v?1\right)}?\frac{k\left(r?r^{*}\right)}{m\prime \left(v?1\right)}$ are not integers for $k=1,2,\text{…},m\prime ?1$, then $D$ is type‐1. As an application of these results, we show that for fixed positive integer $\theta$ there are finitely many nontype‐1 $\lambda$‐designs with $r=r^{*}+\theta$. If $r?r^{*}=27$ or $r?r^{*}=4p$ and $r^{*}\ne {\left(p?1\right)}^2$, or $v=7p+1$ such that $p?1,13\left(\mathrm{mod}21\right)$ and $p?4,9,19,24\left(\mathrm{mod}35\right)$, where $p$ is a positive prime, then $D$ is type‐1. We further obtain several inequalities involving $\lambda (x,y)$, where equality holds if and only if D is type‐1.     

The Bateman–Horn conjecture: Heuristic,history, and applications

The Bateman–Horn conjecture is a far-reaching statement about the distribution of the prime numbers. It implies many known results, such as the prime number theorem and the Green–Tao theorem, along with many famous conjectures, such the twin prime conjecture and Landau’s conjecture. We discuss the Bateman–Horn conjecture, its applications, and its origins.     

Functionals on the spaces of convex bodies

In geometry, there are several challenging problems studying numbers associated to convex bodies. For example, the packing density problem, the kissing number problem, the covering density problem, the packing-covering constant problem, Hadwiger's covering conjecture and Borsuk's partition conjecture. They are fundamental and fascinating problems about the same objects. However, up to now, both the methodology and the technique applied to them are essentially different. Therefore, a common foundation for them has been much expected. By treating problems of these types as functionals defined on the spaces of n-dimensional convex bodies, this paper tries to create such a foundation. In particular, supderivatives for these functionals will be studied.