Core Viewpoint - The company has received a patent certificate from the National Intellectual Property Administration, which is related to its main business and will enhance its intellectual property protection and core competitiveness [9][10]. Financial Data - The third-quarter financial report has not been audited [8]. - The company does not require retrospective adjustments or restatements of previous accounting data [3][4]. Shareholder Information - The company held its first extraordinary general meeting of shareholders in 2025 on July 16, where it approved the issuance of shares to specific targets [5][6]. - The company has completed the election of its seventh board of directors and appointed key management personnel during the same meeting [7]. Patent Information - The newly acquired patents cover areas such as motor technology, elevator technology, wireless communication technology, and automation technology, which are relevant to the company's operations [10].

Core Viewpoint - A mathematician, Boaz Klartag, has made significant advancements in the sphere packing problem in high-dimensional spaces, achieving a record increase in the number of spheres that can be packed compared to previous methods [4][5][6][7]. Group 1: Klartag's Method and Findings - Klartag's approach allows for packing spheres in a d-dimensional space, increasing the quantity to approximately d times the previous record [5]. - In a 100-dimensional space, the number of packed spheres can be around 100 times greater than before, and in a million-dimensional space, it can be about 1 million times greater [6]. - This research represents the most substantial improvement in sphere packing efficiency since Rogers' work in 1947 [7]. Group 2: Historical Context and Previous Methods - The sphere packing problem has a long history, with Kepler proposing a packing density of about 74% in the early 17th century, which took nearly 400 years to prove [10][12]. - Hermann Minkowski introduced a method in 1905 that transformed the sphere packing problem into one of finding the most efficient lattice arrangement [13]. - Rogers' 1947 method involved using ellipsoids instead of spheres, which was eventually abandoned by mathematicians in favor of Minkowski's approach [21]. Group 3: Klartag's Innovations - Klartag, primarily a geometer, began exploring lattice theory and realized the potential of improving Rogers' ellipsoid method [25][26]. - He constructed a more efficient ellipsoid that could cover more space before contacting other points in the lattice, leading to new packing records [28][39]. - Klartag's method involves a random growth process of the ellipsoid, allowing it to adaptively explore the surrounding space [30][33]. Group 4: Implications for Wireless Communication - The findings have significant implications for wireless communication, where signals can be viewed as points in high-dimensional space, and noise as spheres surrounding these points [46]. - Efficient sphere packing can enhance the arrangement of signal points in high-dimensional space, minimizing overlap and confusion [47][48].