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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.Analyst: There may be a RRR cut of 50 basis points to 100 basis points next year. Tan Yiming, chief fixed income analyst of Minsheng Securities, said that there may be a RRR cut of 50 basis points to 100 basis points next year, considering the supply pressure of government bonds, the restoration of credit supply and the provision of long-term stable low-cost funds for financial institutions.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.

Trump appointed TOM BARRACK as the US ambassador to Turkey.With the general election approaching, German Chancellor Angela Scholz supports reducing the value-added tax on basic groceries. German Chancellor Angela Scholz said in an interview on the evening of December 10th local time that he was in favor of reducing the value-added tax on basic groceries from 7% to 5% to help low-income families cope with inflation. The center-left leader also said that although the opposition Conservative Party has a big lead in the polls, he is confident of winning the early election on February 23rd.Hyundai Motor: Parker will continue to be the CEO of Hyundai Motor's North American business.

Haitong Securities: In 2025, the retail sales of home appliances terminals are expected to increase in volume and price. Haitong Securities reported in its research report on December 10th that the effect of the trade-in policy is remarkable. With the active actions of the central and local governments, the trade-in policy of home appliances is expected to continue in 2025. We judge that the retail sales of home appliances terminals are expected to increase in volume and price in 2025, and the domestic sales revenue of leading enterprises is expected to achieve steady growth. The average sales price of home appliances will increase significantly under the impetus of trade-in, and the profit margin of home appliance enterprises can be expected to increase. Under the downward trend of interest rates, the dividend yield of household appliances leading enterprises is still attractive. It is recommended that white and black electricity leading enterprises which have obviously benefited from the trade-in policy and have global competitiveness.Trump appointed TOM BARRACK as the US ambassador to Turkey.OpenAI released the ChatGPT built-in tool Canvas. On December 11th, OpenAI launched the fourth day of technical live broadcast and released the latest function Canvas. According to reports, Canvas is directly built into ChatGPT, providing a separate window, which is mainly used for programming and writing tasks, providing opinions, reviewing and executing specific functions, and providing more detailed services. Simply put, Canvas is equivalent to a built-in Agent to help and guide ChatGPT to make better content generation and modification, and it is automatically triggered.