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

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

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

Bis[μ-4-amino-3,5-bis­(hydroxy­meth­yl)-1,2,4-triazole]bis{bis­[4-amino-3,5-bis­(hydroxy­meth­yl)-1,2,4-triazole]nickel(II)} tetra­nitrate methanol disolvate

The title complex, [Ni2(C4H8N4O2)6](NO3)4·2CH4O, contains a centrosymmetric binuclear nickel(II) complex bridged by a pair of 4-amino-3,5-bis­(hydroxy­meth­yl)-1,2,4-triazole ligands. The separation between the NiII atoms is 3.962 (1) Å. The Ni atoms are in a slightly distorted octa­hedral coordination. Inter­molecular N—H⋯O, N—H⋯N and O—H⋯O hydrogen bonds connect the ligands, solvent mol­ecules and nitrate ions

(Methanolato)(pyridine)[N 2,N 2′-(pyridine-2,6-diyldicarbon­yl)diacetohydra­zide(2–)]iron(III) methanol solvate

In the title complex, [Fe(C11H10N5O4)(CH3O)(C5H5N)]·CH4O, the FeIII ion has a distorted penta­gonal-bipyramidal geometry. In the crystal structure, mol­ecules are linked into one-dimensional chains along [1 ] via inter­molecular O—H⋯O and N—H⋯O hydrogen bonds