Nonempty intersection theorems minimax theorems with applications in generalized interval spaces

We establish some new topological types of nonempty intersection theorems in more general topological spaces without linear structure. As applications, we utilize results to study the minimax problems, coincidence problems, and economy equilibrium problems in generalized interval spaces and some new results are obtained

Bis[aqua­(2,3-naphtho-15-crown-5)sodium] tetra­kis(thio­cyanato-κN)cobaltate(II)

The title complex, [Na(C18H22O5)(H2O)]2[Co(NCS)4], consists of two aqua­(2,3-naphtho-15-crown-5)sodium complex cations and one [Co(NCS)4]2− complex anion, which has crystallographic symmetry. In the anion, the CoII centre is coordinated by the N atoms of four NCS− ligands in a distorted tetra­hedral geometry. In the complex cations, the NaI centre is coordinated by five O atoms of the 2,3-naphtho-15-crown-5 ligand and one water O atom. The complex mol­ecules form a two-dimensional network via weak O—H⋯S inter­actions between adjacent cations and anion

Clinical efficacy of acupuncture and rehabilitation treatment on oculomotor nerve palsy patients

AIM: To explore the clinical efficacy of traditional Chinese acupuncture combined with conventional rehabilitation therapy onoculomotor nerve palsy patients. <p>METHODS: From May 2005 to September 2012, 110 cases ofoculomotor palsy were divided into treatment group and control group with 55 cases in each group according to different methods of treatment. The control group received rehabilitation therapy, the treatment group received acupuncture combined with rehabilitation therapy. Before and after 8wk treatment, the light reflex, diopter case, eye fissure width, and eye movement to improve the overall efficiency of the situation were observed between the two groups. <p>RESULTS: After treatment of 8wk, light reflex,diopter case, eye fissure width, and eye movement therapy total effective rate of the treatment group were all better than the control group(<i>P</i><0.05); The eye movement improved in the treatment were 47 cases which accounting for 85.5%, in the control group there were 36 cases which accounting for 65.5%, the treatment group had a higher improvement(<i>P</i><0.05). <p>CONCLUSION: Acupuncture therapy combined with rehabilitation training method significantly reduces the oculomotor nerve palsy in patients with clinical symptoms and improves the patient's quality of life

Test of quantum nonlocality via vector meson decays to KSKSK_SK_S

In the system of a pair of quantum-entangled neutral kaons from meson decays, when one kaon collapses into the $K_S$ state, the other will collapse instantaneously into the $K_L$ state due to entanglement and nonlocality. However, if the alternative hypothesis is correct and there's a time window during which one kaon is unaware that the other has decayed, some quantum mechanically prohibited $K_SK_S$ decays may occur. We calculate the branching ratios of $K_SK_S$ in vector meson decays under the locality hypothesis and compare them with experimental results. We show that the branching ratio of $J/\psi\rightarrow K_SK_S$ under locality assumption is already excluded by the BESIII experimental upper limit. Additional experimental results are proposed to perform this test in the future.Comment: 7 pages, 3 figures, 1 tabl

Multi-Granularity Prediction with Learnable Fusion for Scene Text Recognition

Due to the enormous technical challenges and wide range of applications, scene text recognition (STR) has been an active research topic in computer vision for years. To tackle this tough problem, numerous innovative methods have been successively proposed, and incorporating linguistic knowledge into STR models has recently become a prominent trend. In this work, we first draw inspiration from the recent progress in Vision Transformer (ViT) to construct a conceptually simple yet functionally powerful vision STR model, which is built upon ViT and a tailored Adaptive Addressing and Aggregation (A$^3$) module. It already outperforms most previous state-of-the-art models for scene text recognition, including both pure vision models and language-augmented methods. To integrate linguistic knowledge, we further propose a Multi-Granularity Prediction strategy to inject information from the language modality into the model in an implicit way, \ie, subword representations (BPE and WordPiece) widely used in NLP are introduced into the output space, in addition to the conventional character level representation, while no independent language model (LM) is adopted. To produce the final recognition results, two strategies for effectively fusing the multi-granularity predictions are devised. The resultant algorithm (termed MGP-STR) is able to push the performance envelope of STR to an even higher level. Specifically, MGP-STR achieves an average recognition accuracy of $94\%$ on standard benchmarks for scene text recognition. Moreover, it also achieves state-of-the-art results on widely-used handwritten benchmarks as well as more challenging scene text datasets, demonstrating the generality of the proposed MGP-STR algorithm. The source code and models will be available at: \url{https://github.com/AlibabaResearch/AdvancedLiterateMachinery/tree/main/OCR/MGP-STR}.Comment: submitted to TPAMI; an extension to our previous ECCV 2022 paper arXiv:2209.0359

Optically-Nonactive Assorted Helices Array with Interchangeable Magnetic/Electric Resonance

We report here the designing of optically-nonactive metamaterial by assembling metallic helices with different chirality. With linearly polarized incident light, pure electric or magnetic resonance can be selectively realized, which leads to negative permittivity or negative permeability accordingly. Further, we show that pure electric or magnetic resonance can be interchanged at the same frequency band by merely changing the polarization of incident light for 90 degrees. This design demonstrates a unique approach to construct metamaterial.Comment: 15 pages, 4 figure

Refunctionalizing a Frayed American China-Taiwan Policy: Incrementalism or Paradigmatic Shift?

This paper is interested in exploring whether it is possible for the US. to pursue parallel relationships with Taiwan and China, that is, whether US.-Taiwan relations can be decoupled from the Washington-Beijing relationship? This paper uses a spatial model to review how US-Taiwan relations have evolved since 1949, when the reality of two Chinas set in with the founding of the PRC. It discusses the increasingly unbalanced dual track framework of current US. policy toward China and Taiwan and contrasts the changing contexts between the SCP\u27s time and the present post-Cold War era. It examines those most important new parameters that were absent or different in the SCP. Based on this contrast, the paper questions the policy\u27s continued validity and calls for a new paradigm to replace the SCP. Based on these new parameters, the final section sketches out a new paradigm for US. policy toward Taiwan in the post-Cold War era and weighs the pros and cons of three distinct policy choices - disengagement, decoupling, and improved status quo-for the shape and direction of future US.-Taiwan relations. By bringing developments up to date (President Bush\u27s December 9, 2003 comments regarding Taiwan\u27s referendum), this paper argues that although the Bush Administration seems content to refunctionalize a frayed framework, it has abandoned strategic ambiguity and has added preference for the status quo

A γ\gamma-ray Quasi-Periodic modulation in the Blazar PKS 0301−-243?

We report a nominally high-confidence $\gamma$-ray quasi-periodic modulation in the blazar PKS 0301$-$243. For this target, we analyze its \emph{Fermi}-LAT Pass 8 data covering from 2008 August to 2017 May. Two techniques, i.e., the maximum likelihood optimization and the exposure-weighted aperture photometry, are used to build the $\gamma$-ray light curves. Then both the Lomb-Scargle Periodogram and the Weighted Wavelet Z-transform are applied to the light curves to search for period signals. A quasi-periodicity with a period of $2.1\pm0.3$ yr appears at the significance level of $\sim5\sigma$, although it should be noted that this putative quasi-period variability is seen in a data set barely four times longer. We speculate that this $\gamma$-ray quasi-periodic modulation might be evidence of a binary supermassive black hole.Comment: 9 pages, 8 figures; Accepted for publication in Ap