VanderLaan Circulant Type Matrices

Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices. The nonsingularity of these special matrices is discussed by the surprising properties of VanderLaan numbers. The exact determinants of VanderLaan circulant type matrices are given by structuring transformation matrices, determinants of well-known tridiagonal matrices, and tridiagonal-like matrices. The explicit inverse matrices of these special matrices are obtained by structuring transformation matrices, inverses of known tridiagonal matrices, and quasi-tridiagonal matrices. Three kinds of norms and lower bound for the spread of VanderLaan circulant and left circulant matrix are given separately. And we gain the spectral norm of VanderLaan g-circulant matrix

How can the construction of social credit system in the context of digitalization empower grassroots governance? — A Case Study of “Moral Bank” in Yuyao City, Zhejiang Province

The 20th Party Congress report proposed to improve the grid-based management, refinement of services, information technology to support the grassroots governance platform, and improve the urban and rural community governance system [1, p. 24]. Grass-roots social governance is the basis of the entire national governance system, which concerns the vital interests of millions of people. At present, the government concentrates funds and material resources on infrastructure construction, and while the hardware environment at the grassroots level is improving, the construction of soft power is seriously lagging behind, and residents’ awareness of participation and public spirit are seriously lacking, so grassroots governance needs to be transformed. The basic function of social credit system is to form incentives and constraints for various subjects with the help of credit evaluation mechanism, so as to realize effective social governance. The establishment of social credit system can not only create an environment to serve social governance, but also provide important support for the modernization of social governance system and national governance capacity. Thus, under the strategic choice of building a comprehensive social credit system, combining an effective social credit system with grassroots social governance is an inevitable choice for China’s future development. Meanwhile, along with the accelerated development of digitization in China, the digitization of social credit system construction has become a powerful boost to promote credit governance. The digital transformation of social credit system can fully activate the path of credit information formation and collection in the traditional social credit system, optimize the operation mechanism and application scenario of credit evaluation mechanism, and thus maximize the functional utility of credit-enabled grassroots social governance. Based on this, this paper attempts to take the many challenges faced by grassroots governance as a logical starting point, take the “moral bank” in Yuyao, Zhejiang Province as a case study, trace how the construction of social credit system empowers grassroots social governance in the context of digitalization, explore the operation mechanism and practical effects of it, and extract corresponding insights

A hybrid single-mode laser based on slotted silicon waveguides

An InGaAsP-Si hybrid single-mode laser based on etched slots in silicon waveguides was demonstrated operating at 1543 nm. The InGaAsP gain structure was bonded onto a patterned silicon-on-insulator wafer by selective area metal bonding method. The mode-selection mechanism based on a slotted silicon waveguide was applied, in which the parameters were designed using the simulation tool cavity modeling framework. The III-V lasers employed buried ridge stripe structure. The whole fabrication process only needs standard photolithography and inductively coupled plasma etching technology, which reduces cost for ease in technology transfer. At room temperature, a single mode of 1543-nm wavelength at a threshold current of 21 mA with a maximum output power of 1.9 mW in continuous-wave regime was obtained. The side mode suppression ratio was larger than 35 dB. The simplicity and flexibility of the fabrication process and a low cost make the slotted hybrid laser a promising light source

Quantum Well Laser Diodes With Slightly-Doped Tunnel Junction

We experimentally investigate the electrical and optical characteristics of conventional quantum well laser diodes and the quantum well laser diodes with slightly-doped tunnel junction N++GaAs/undoped-GaAs. The results show that the slightly-doped tunnel junction give significant role on the laser diodes performances in the InGaAs/GaAs quantum well material system. The TJ LD has a internal quantum efficiency of 21% and the loss is 6.9 em -1 , the current threshold is 35 mA, both the lasers are operating at 1.06 μm, but the slightly-doped tunnel junction diode show nonlinear S-shaped current-voltage and broadband lasing characteristics. The results may also lead to the realization of more applications