The Origin and Characteristics of Family Sports in Germany

Family sports, as a breakthrough of national fitness in Germany, has gone through more than 30 years of development. This study examined the origin, management, operation, guarantee, and promotion mechanism of family sports in Germany by using the methods of literature and field investigation. It is found that family sports in Germany originated from the implementation of Gold Plan in Germany, which has the following characteristics: Taking the top management organization of national sports as the link, paying attention to the coordinated management of family and club; paying attention to the coordination and cooperation of multiple departments and organizations. To integrate social resources, to focus on the responsibility of sports clubs, to create a family sports guide, and to focus on family friendly development model are the mechanism driving force to promote the development of family sports. And get the following enlightenment: give full play to the guiding role of the policy, cultivate all kinds of social organizations to promote the development of family sports; based on the integration model of school, family and community, create a good environment for the development of family sports; create the family sports guide to guide the development of Court Sports in our country; adhere to the family sports development model of family centered

Double grazing bifurcation route in a quasiperiodically driven piecewise linear oscillator

ACKNOWLEDGMENTS: This work is supported by the National Natural Science Foundation of China (NSFC) (Nos. 12072291, 11732014, and 12172306). Publisher Copyright: © 2023 Author(s). Published under an exclusive license by AIP Publishing.Peer reviewedPostprin

Crisis dynamics of a class of single-degree-of-freedom piecewise linear oscillators

Peer reviewe

Verification of Equivalence of Operator Bases in Unitarity Analysis

Equivalence theorem is a cornerstone of Standard Model Effective Field Theory, ensuring the equality of the S-matrix and reducing redundant operators. The Warsaw basis and the SILH basis of dimension-6 operators have been shown to be equivalent and connected through equations of motion and field redefinitions, but how to connect the two operator bases in interpreting data is not clear. Through a unitarity analysis we verify that the two operator bases are indeed equivalent, but achieved in a non-trivial way.Comment: 5 pages, 1 figur

A finite theorem for Ahlfors' covering surface theory

Ahlfors' theory of covering surfaces is one of the major mathematical achievement of last century. The most important part of his theory is the Second Fundamental Theorem (SFT). We are interested in the relation of errors of Ahlfors' SFT with the same boundary curve. In this paper we will prove a result which is used to establish the best bound of the constant in Ahlfors' SFT (in \cite{Zh}). Precisely speaking, we will prove that for any surface $\Sigma\in\mathcal{F}_r(L,m)$, a new surface $\Sigma_1$ can be constructed based on it, such that $R(\Sigma_1)\ge R(\Sigma)$ and $L(\partial\Sigma_1)\le L(\partial\Sigma)$, where $R(\Sigma)$ is Ahlfors' error term and $L(\partial\Sigma)$ is the boundary length of the surface $\Sigma$, and the covering degree of $\Sigma_1$ has an upper bound independent of surfaces. Meanwhile, this conclusion suggests that the supremum of $H(\Sigma)=R(\Sigma)/L(\partial\Sigma)$ can be achieved by surfaces in the space $\mathcal{F}_r'(L,m)$

Spin asymmetry and dipole moments in τ\tau-pair production with ultraperipheral heavy ion collisions

The anomalous magnetic (MDM) and electric (EDM) dipole moments of the $\tau$ lepton serve as crucial indicators of new physics beyond the Standard Model. Leveraging azimuthal angular asymmetry as a novel tool in ultraperipheral collisions (UPCs), we attain unparalleled precision in the study of these key properties. Driven by the highly linear polarization of coherent photons, this method uniquely enables both the MDM and EDM to contribute to the $\cos2\phi$ angular distribution in similar magnitudes. Importantly, our approach substantially narrows the parameter space, excluding more than half of it compared to expected UPC-based measurements reliant solely on the total cross-section. This method not only provides improved constraints but also minimizes the need for additional theoretical assumptions.Comment: 6 pages, 3 figure

Introducing an ophthalmic testing system

AIM: To integrate the individual and various items of refractive examination to one software, and made it applicated conveniently.<p>METHODS: On the basis of every examination system, the computer software was designed and developed, the modules were established and maintained.<p>RESULTS: The computer software could fulfill the examinations of visual acuity, strabismus(Hess screen), color vision, stereopsis.<p>CONCLUSION: After 10 years' application, the effect is significant. It can nearly replace the items using projector of integrated refractometer, stereopsis exam and color blind exam

Spin Excitation Spectra of Anisotropic Spin-1/21/2 Triangular Lattice Heisenberg Antiferromagnets

Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for highly frustrated quantum antiferromagnets whose dynamical properties deviate strongly from theoretical predictions made based on the spin-wave or other approximations. Here we present a large-scale numerical calculation on the dynamical correlation functions of spin-$1/2$ triangular Heisenberg model using a state-of-the-art tensor network renormalization group method. The calculated results allow us to gain for the first time a comprehensive picture on the nature of spin excitation spectra in this highly frustrated quantum system. It provides a quantitative account for all the key features of the dynamical spectra disclosed by inelastic neutron scattering measurements for $\rm Ba_3CoSb_2O_9$, revealing the importance of the interplay between low- and high-energy excitations and its renormalization effect to the low-energy magnon bands and high-energy continuums. We identify the longitudinal Higgs modes in the intermediate-energy scale and predict the energy and momentum dependence of spectral functions along the three principal axes that can be verified by polarized neutron scattering experiments. Furthermore, we find that the spin excitation spectra weakly depend on the anisotropic ratio of the antiferromagnetic interaction.Comment: 6 pages, 3 figures, and a Supplemental Materia