Hanoi National University of Education (Abbreviation: HNUE; Vietnamese: Đại học Sư phạm Hà Nội) is a public university in Vietnam. Established in 1951 as the fourth university in Vietnam (after Indochina Medical College (1902), University of Indochina (1904), École Supérieure des Beaux-Arts de L'Indochine (1925)), it is one of the largest higher education institutions in this country. The university also operates HNUE High school for gifted students, a national high school for gifted students.Established in 1951 with the name of National University of Science Education, the school was headed by Prof Lê Văn Thiêm, the father of Vietnam's Mathematics society. In 1956, it was merged with National University of Arts and Social Science Education and renamed Hanoi University of Education. In 1993, the university, along with University of Hanoi and Foreign Language Teachers’ Training College, became the main posts for the establishment of Vietnam National University, Hanoi (VNUH). However, thanks to the Vietnam government's requirement for establishing an independent institution to train teachers, the university was split from VNUH in 1999 and renamed the Hanoi National University of Education - a hitherto major national university in Vietnam.The biggest astronomical optical telescope in South East Asia is situated on the school campus. In 2008, HNUE was the host for the 39th International Physics Olympiad.
Let u and v be plurifine plurisubharmonic functions. In this paper, we investigate sufficient conditions on u and v under which they can be compared.
We study a source identification problem for a class of nonlocal Fokker-Planck equations, where the force field depends on the state function. Our aim is to find some suitable conditions ensuring the solvability of the problem and the Hölder regularity of solutions. The main ingredient of our analysis is the regularity estimates, established for resolvent operators in Hilbert scales, that allow us to employ the fixed point argument. Some specific cases of kernel function are discussed.
This work investigates normal families of holomorphic mappings in several complex variables into complex projective space, where the moving hypersurface targets may vary with each mapping in the family. Our study emphasizes three key aspects: (1) limiting the number of moving hypersurface targets under consideration; (2) allowing intersections between the mappings and the moving hypersurfaces, but instead of imposing the usual condition of sufficiently large multiplicities, controlling these intersections through alternative methods; and (3) proposing a dual criterion that simultaneously ensures both the normality of the target family and the general position of its limits.
We present a self-consistent analysis of the fluctuation-induced shift of the superconducting critical temperature in layered superconductors within the time-dependent Ginzburg–Landau Lawrence–Doniach framework. Using the self-consistent Gaussian approximation, we derive explicit analytical expressions for the shift of the superconducting critical temperature that incorporate the contributions of order parameter fluctuations. Explicit results for two-dimensional and three-dimensional superconductor are also given. We reveal a fundamental dimensional crossover: while the Ginzburg–Levanyuk number Gi, which characterizes the width of the fluctuation-dominated critical region, alone governs the suppression of the critical temperature in three-dimensional (3D) superconductors, the suppression in two-dimensional (2D) and layered superconductors depends additionally on the material’s geometry, namely the layer thickness and interplane spacing. Physically, a reduction in interplane spacing or an increasing in layer thickness suppresses superconducting fluctuations, which in turn diminishes the suppression of the transition temperature. Our theoretical results are consistent with thermodynamic analysis and formulated using experimentally measurable parameters, offering a systematic approach for analyzing fluctuation phenomena in highly anisotropic superconductors and artificially layered materials.
In this paper, we investigate the linear behavior of the postulation number of the symbolic powers of certain two-dimensional monomial ideals.
