Fostering Chinese National Unity:Advocating the National Common Language and Writing System for Heightened Community Awareness

The promotion of the national common language and writing system stands as a cornerstone in cultivating a sense of community among the Chinese nation.The national common language and writing system,serving as a potent vehicle for cultural dissemination and linguistic communication,acts as a crucial bridge fostering unity,mutual support,cultural exchange,and cohesion among diverse ethnic groups.Its widespread promotion not only reinforces the cohesion of the Chinese nation but also plays a pivotal role in fortifying national and cultural identity.The advocacy and dissemination of the national common language and writing system contribute significantly to enhancing the sense of community within the Chinese nation.This concerted effort serves as an internal driving force,creating a positive feedback loop that strengthens both national identity and the cultural bonds shared by the Chinese people.The reciprocal relationship between the promotion and popularization of the national common language and writing system reinforces a mutual sense of assistance and reciprocity.This bidirectional dynamic propels a synergistic interplay,fostering a beneficial cycle in the promotion and widespread adoption of the national common language and writing system.In essence,the promotion and popularization of the national common language and writing system not only contribute to its advancement but also serve to deepen the sense of community within the Chinese nation.This reciprocal interaction between the two elements establishes a robust foundation for nurturing a strong and cohesive Chinese community.

The Differences in Alcohol Use between Urban and Rural Students of Inner Mongolia Medical University, China

Objective: The purpose of this study was to evaluate the difference in alcohol use between urban and rural students of Inner Mongolia Medical University. Methods: A cross-sectional census was conducted on medical students on campus in 2013. We use multivariate logistic regression models to assess the factors associated with alcohol use. We further use chi-square test assess on differences in alcohol use between urban and rural people among significance factors in logistic regression models. Results: The prevalence of alcohol use among students in rural area was higher than that in urban area (p = 0.016). Alcohol use was associated with Gender, monthly expenses, residence, ethnic and faculty. The odds of alcohol use for Mongolia students were 1.139 times higher than that for Han students. The prevalence of alcohol consumption among students from pharmacy or Traditional Chinese Medicine and Mongolian Medicine faculties in rural area was higher than that among student in urban area (p = 0.03;p = 0.001). The prevalence of alcohol use among female students in rural area was higher than that among female students in urban area (p < 0.043). The proportion of alcohol use among students with <600 in rural area was higher than that among students in urban area (p < 0.001). Conclusion: Considering the differences in the prevalence of alcohol use between rural area and urban area, university administrators aiming at students from various regions develop various approaches.

On the ascent of infinite dimensional Hamiltonian operators

In this paper, the ascent of 2 × 2 infinite dimensional Hamiltonian operators and a class of 4 × 4 infinite dimensional Hamiltonian operators are studied, and the conditions under which the ascent of 2 × 2 infinite dimensional Hamiltonian operator is 1 and the ascent of a class of 4 × 4 infinite dimensional Hamiltonian operators that arises in study of elasticity is2 are obtained. Concrete examples are given to illustrate the effectiveness of criterions.

On symplectic self-adjointness of Hamiltonian operator matrices

Symplectic self-adjointness of Hamiltonian operator matrices is studied, which is important to symplectic elasticity and optimal control. For the cases of diagonal domain and off-diagonal domain, necessary and sufficient conditions are shown. The proofs use Frobenius-Schur factorizations of unbounded operator matrices.Under additional assumptions, sufficient conditions based on perturbation method are obtained. The theory is applied to a problem in symplectic elasticity.

Left Invertible Completions of Upper Triangular Operator Matrices with Unbounded Entries

Given two closed, in general unbounded, operators A and C, we investigate the left invertible completion of the partial operator matrix A ？ 0 C. Based on the space decomposition technique, the alternative sufficient and necessary conditions are given according to whether the dimension of R（A）⊥ is finite or infinite.As a direct consequence, the perturbation of left spectra is further presented.

On the Adjoint of Operator Matrices with Unbounded Entries II

In this paper, the adjoint of a densely defined block operator matrix L=[A B C D] in a Hilbert space X ×X is studied and the sufficient conditions under which the equality L＊=[A＊ B＊ C＊ D＊] holds are obtained through applying Frobenius-Schur factorization.

Spectral Inclusion Properties of Unbounded Hamiltonian Operators

In this paper, the authors investigate the spectral inclusion properties of the quadratic numerical range for unbounded Hamiltonian operators. Moreover, some examples are presented to illustrate the main results.