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AI can solve partial differential equations thousands of times faster than before, and partial differential equations play an important role in engineering and science. In a recent study, scientists from Johns Hopkins University in the United States have developed a new artificial intelligence (AI) model called "Differential Mapping Operator Learning" (DIMON), which can solve complex partial differential equations on personal computers, thousands of times faster than before, and is expected to "show its talents" in the fields of aerospace, automobiles and medicine. Related papers were published in the journal Nature Computational Science published on the 9th.Greedy was elected as the representative word of Taiwan Province in 2024, and the voting results of Taiwan Province 2024 representative word were announced on the 10th. The word "Greedy" ranked first with 8736 votes and was elected as the representative word of this year. The word "dou" and "cheat" are ranked second and third respectively. This annual representative voting activity in Taiwan Province is sponsored by United Daily News. People from all walks of life are invited to recommend it, and then the people vote by telephone, SMS and online. A total of 57 candidate words were collected this year, and the top 10 were ranked as greed, struggle, fraud, resilience, earthquake, financing, danger, security and electricity in the order of votes. (Xinhua News Agency)Russia said it had fought against the Ukrainian ammunition depot and repulsed Russia's repeated attacks. On the 10th local time, the Russian Defense Ministry reported that the Russian army had taken control of a settlement in Donetsk on the same day, and attacked the Ukrainian ammunition depot, electronic warfare base stations, armored vehicles and other targets. Russian air defense forces shot down several rockets and dozens of drones of the Ukrainian army. In addition, the Russian army continued to crack down on Ukrainian personnel and equipment in Kursk region, Russia. On the same day, the General Staff of the Ukrainian Armed Forces issued a war report, saying that as of the afternoon of the 10th, the Ukrainian army had nearly 100 battles with the Russian army in Kharkov, Kupyansk, Hongliman and other areas. The Ukrainian army continued to hold its ground and repelled many Russian attacks.

The restricted shares with a market value of 463 million yuan were lifted today. Smith Barney, Foreign Service Holdings and Aimeike were among the top companies in terms of market value. On Wednesday (December 11th), the restricted shares of four companies were lifted, with a total lifting amount of 31.3389 million shares. According to the latest closing price, the total lifting market value was 463 million yuan. Judging from the amount of lifting the ban, one company lifted more than 10 million shares. Smith Barney Technology, Foreign Service Holdings and Pulitzer were among the top, with 24,446,500 shares, 6,503,200 shares and 234,800 shares respectively. Judging from the market value of lifting the ban, the number of shares lifted by a company exceeds 100 million yuan. Smith Barney Technology, Foreign Service Holdings and Aimeike are among the top companies in terms of market value, with market values of 392 million yuan, 34.8574 million yuan and 33.43 million yuan respectively. Judging from the proportion of shares released from the ban to the total share capital, the proportion of one company released from the ban exceeded 10%. Smith Barney Technology, Foreign Service Holdings and Aimeike are among the top companies, with the lifting rates of 29.38%, 0.28% and 0.05% respectively.13 shares registered today, Hengxuan Technology, Xiamen Bank and Deshi shares have the strongest dividends. According to the statistics of the equity distribution plan of listed companies, 13 A shares registered today. Among them, 13 shares intend to pay dividends. In terms of dividends, 13 stocks paid dividends in date of record on December 11th. Hengxuan Technology, Xiamen Bank and Deshi Co., Ltd. have the strongest dividends, with dividends of 7.60 yuan for every 10 shares, 1.5 yuan and 1.2 yuan respectively. In addition, there are 5 shares that have thrown out dividend payout plans, among which Contemporary Amperex Technology Co., Limited, Taotao Auto Industry and Hite Bio have the strongest dividend payout, with dividends of 12.3 yuan for every 10 shares, 5 yuan and 1.3 yuan respectively.Citic Jiantou: The demand for promoting the release of opinions on the pipeline network and water renovation in resilient cities is expected to increase. According to the research report of CITIC Jiantou, recently, the general offices of the General Office of the Central Committee of the CPC and the State Council issued the Opinions on Promoting the Construction of New Urban Infrastructure to Create a Resilient City, which clearly stated that it is necessary to build an intelligent and efficient new urban infrastructure system and continuously improve the resilience of urban facilities, management and space. Specifically, the Opinions propose that by 2027, the construction of new urban infrastructure will make significant progress, and the supporting role for the construction of resilient cities will be continuously enhanced, forming a number of experiences and practices that can be replicated and promoted. In addition, the Opinions also proposes the implementation of intelligent municipal infrastructure construction and transformation, and the digital transformation and upgrading and intelligent management of urban water supply, drainage, power supply, gas, heat, fire hydrants (fire cranes), underground utility tunnel and other municipal infrastructure according to local conditions. We believe that in the process of building a resilient city, the demand for urban infrastructure renewal and construction is expected to continue to grow, and related water and sanitation equipment enterprises are expected to benefit.

Goldman Sachs: I don't agree that gold can't reach $3,000 under a strong dollar. Goldman Sachs said that we don't agree with the view that the price of gold can't rise to $3,000 per ounce by the end of 2025 when the dollar remains strong for a long time. We predict that gold will reach $3,000 per ounce by the end of 2025, and the reduction of interest rate cuts by the Federal Reserve (rather than the strengthening of the US dollar) is the downside risk of this prediction.Citic Jiantou: The demand for promoting the release of opinions on the pipeline network and water renovation in resilient cities is expected to increase. According to the research report of CITIC Jiantou, recently, the general offices of the General Office of the Central Committee of the CPC and the State Council issued the Opinions on Promoting the Construction of New Urban Infrastructure to Create a Resilient City, which clearly stated that it is necessary to build an intelligent and efficient new urban infrastructure system and continuously improve the resilience of urban facilities, management and space. Specifically, the Opinions propose that by 2027, the construction of new urban infrastructure will make significant progress, and the supporting role for the construction of resilient cities will be continuously enhanced, forming a number of experiences and practices that can be replicated and promoted. In addition, the Opinions also proposes the implementation of intelligent municipal infrastructure construction and transformation, and the digital transformation and upgrading and intelligent management of urban water supply, drainage, power supply, gas, heat, fire hydrants (fire cranes), underground utility tunnel and other municipal infrastructure according to local conditions. We believe that in the process of building a resilient city, the demand for urban infrastructure renewal and construction is expected to continue to grow, and related water and sanitation equipment enterprises are expected to benefit.Nikkei futures opened down 95 points at 39,290 on the Singapore Stock Exchange.