The uniqueness of tangent cones for Yang-Mills connections with isolated singularities

We proved a uniqueness theorem of tangent connections for a Yang-Mills connection with an isolated singularity with a quadratic growth of the curvature at the singularity. We also obtained controls over the rate of the asymptotic convergence of the connection to the tangent connection under assumptions that the connection is stationary or the tangent connection is integrable. There are parallel results for the cones at infinity of a Yang-Mills connection on an asymptotically flat manifold. We also gave an application of our methods to the Yang-Mills flow and proved that the Yang-Mills flow exists for all time and has asymptotic limit if the initial value is close to a smooth local minimizer of the Yang-Mills functional.Comment: 37 page

Research on Curriculum Design of Internet of Things Major in Higher Vocational Colleges based on “Integration of courses and Competitions”

Competition course integration mode is a new teaching mode, which combines the traditional competition course mode and integration teaching mode, aiming at improving students’ learning eff ect and ability. Through the introduction and analysis of the existing problems of the competition course integration mode, this paper discusses its application in the course design of “competition course integration” for the Internet of Things major in higher vocational colleges, including the course design objectives, contents, evaluation methods and so on. The research shows that the competition course integration mode has great application potential in higher vocational education, which can effectively improve students’ learning interest and learning effect, and promote the improvement of students’ comprehensive quality and ability

Amphiphilic Ionic Perylenediimides: Structures, Self-Assembly Studies and Biomedical Applications

Amphiphilic ionic perylenediimides (AIPDIs) with well‐defined structures have been widely studied, which involve abundant non‐covalent interactions. Among these interactions, electrostatic interactions serve as the primary force that may be followed by other non‐covalent interactions like π–π stacking. Taking advantage of these tunable interactions between simple AIPDI‐building blocks, AIPDIs are widely used for constructing increasingly complex structures at varying scales. Besides, AIPDIs with outstanding photochemical stability exhibit high fluorescence quantum yields (FQYs) in aqueous solution, because hydrophilic substituents of AIPDIs can shield the inner perylene chromophores and weaken π–π stacking, contributing to the improvement of water solubility and the suppression of aggregation‐caused quenching (ACQ). AIPDIs with excellent water solubility, strong FQYs and desired interactions with charged components in cells and tissues hold great promise for various biomedical applications, which can be concluded in three hierarchical levels, which is in vitro, live cell and tissue

Effect of Nitrate Ester on the Combustion Characteristics of PET/HMX -based Propellants

The effect of nitrate ester NG/TEGDN on the combustion characteristics of PET/HMX-based propellants has been experimentally investigated using of high-speed photography technique and scanning electron microscopy. It is indicated that the increase of NG/TEGDN content has little impact on the propellant burning rates at the same pressure. Furthermore, propellant can not be self-sustaining combustion at low pressure (£1 MPa). The increase of NG/TEGDN content does not affect the flame structure of propellant, but it plays an important role in condensed phase reaction zone. The flame structure of propellant is estimated. The thermal decomposition products in different combustion zones are also discussed. Scanning electron microscopy examination of quenched sample indicates that a liquified layer forms during combustion of these propellants. Numerous gas bubbles are present. Especially, the burning surface of propellant with low NG/TEGDN content shows signs of crystallization. The thickness of condensed phase reaction zone, by cross-section examination of propellant burning surface, has also been investigated. The results show that the thickness of condensed phase reaction zone increases with NG/TEGDN content increasing. These observations suggest that the condensed phase zone plays significant role in propellant combustion.Defence Science Journal, 2011, 61(3), pp.206-213, DOI:http://dx.doi.org/10.14429/dsj.61.56

EXPERIMENTAL STUDY OF BIAS TEMPERATURE INSTABILITY AND PROGRESSIVE BREAKDOWN OF ADVANCED GATE DIELECTRICS

With shrinking gate dielectrics, the reliability requirements of semiconductor gate dielectrics become more and more difficult to maintain. New physical mechanisms and phenomena are discovered and new challenges arise. At the same time, some issues, which have been minor in the past, begin to show bigger impact, such as the Negative Bias Temperature Instability issue. The dynamic NBTI phenomenon was studied with ultrathin SiO2 and HfO2 devices. With a dynamic stress condition, the device lifetime can be largely extended due to the reduced NBTI degradation. This reduction is contributed to the annealing of fixed oxide charges during the stress off period. A mathematical model is also established to explain this phenomenon. With alternative gate dielectrics' introduction, new issues associated with these materials and device structures are also raised. Those issues need to be studied in detail before fully incorporation of new materials. Compared with SiO2 devices, the NBTI degradation of HfO2 has a similar trend. However, it is found that they have different frequency response than the SiO2 devices. This difference is later found due to the traps inside the gate dielectrics. Detailed studies show that NBTI degradations at dc stress and dynamic stress conditions have different temperature acceleration factors due to the bulk traps. The disappearance of this difference by insetting a detrapping period further proves this observation. As we enter the ultrathin gate dielectrics regime, the electron tunneling mechanisms behind the gate dielectrics breakdown shift. Consequently, gate dielectrics breakdown mode also shifts from the clear-detected hard breakdown to the noisy soft breakdown. Thus new lifetime extrapolation models are needed. The progressive breakdown of ultrathin SiO2 is studied by a two-step test methodology. By monitoring the degradation of the progressive breakdown path in terms of the activation energy, the voltage acceleration factor, two kinds of breakdown filaments, the stable one and the unstable one, were studied. The stable filament is found to be a breakdown filament independent of the original breakdown filament, and the unstable filament is the continuing degradation of the original filament

Genome Sequences and Structures of Two Biologically Distinct Strains of Grapevine leafroll - associated virus 2 and Sequence Analysis

Grapevine leafroll-associated virus 2 (GLRaV-2), a member of the genus Closterovirus within Closteroviridae, is implicated in several important diseases of grapevines including "leafroll”, "graft-incompatibility”, and "quick decline” worldwide. Several GLRaV-2 isolates have been detected from different grapevine genotypes. However, the genomes of these isolates were not sequenced or only partially sequenced. Consequently, the relationship of these viral isolates at the molecular level has not been determined. Here, we group the various GLRaV-2 isolates into four strains based on their coat protein gene sequences. We show that isolates "PN” (originated from Vitis vinifera cv. "Pinot noir”), "Sem” (from V. vinifera cv. "Semillon”) and "94/970” (from V. vinifera cv. "Muscat of Alexandria”) belong to the same strain, "93/955” (from hybrid "LN-33”) and "H4” (from V. rupestris "St. George”) each represents a distinct strain, while Grapevine rootstock stem lesion-associated viru

Long-term open-water season stream temperature variations and changes over Lena River Basin in Siberia

This study systematically analyzes long-term (1950-1992) stream temperature records for the major sub-basins within the Lena River watershed in order to describe water temperature regimes over the various parts of the Lena watershed and document significant stream temperature changes induced by reservoir regulation, and by natural variations/changes. The results show that the open water season can be divided into three consecutive stages---"increasing temperature stage" in the early open water season, "stable temperature stage" in the mid-warm season, and "decreasing temperature stage" in the late open water season. Temperature conditions are similar over the Aldan and Upper Lena regions. However, stream temperatures at the Lena basin outlet are up to 8 °C lower than those over the southern sub-basins. This suggests that the latitudinal difference in climatic variables, such as air temperature, might be the major control on stream temperature regime. Results also demonstrate that the reservoir regulation has a strong influence on the regional water temperature regime and change in the regulated sub-basin. Reservoir regulation has increased (decreased) the downstream water temperatures in the Vilui valley during the early (mid) open water season. Trend analyses show consistent warming trends across the entire Lena River basin in the early open water season. This may indicate a response to earlier snowmelt over the Lena River watershed. Trend results also demonstrate that the Aldan tributary, without much human impact, experiences warming (cooling) trends in the first (second) half of the open water season, leading to a stream temperature regime shift toward early open water season. The upper Lena River has warming (cooling) trends in the early (mid-late) open water season. Over the regulated Vilui tributary, however, stream temperatures have significantly increased in the early and late parts of the warm season due to combined effects of natural changes and reservoir regulation. Over the Lena basin as a whole, strong positive correlations have been found between the basin mean monthly air and water temperatures during the warm season. Increasing water temperatures were observed during the early and mid-June. Because of stream temperature increase in this peak flow period, the Lena River heat flux has gone up by 23% in June. This may have considerable impact on the thermal conditions of the Laptev Sea in the early summer season