In linear algebra, a
matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
线性代数中，矩阵是一个按行和列排列的数字、符号或表达式的矩形数组。
The determinant of a square
matrix is a value that can be calculated from the elements of a square
matrix.
方阵的行列式是从方阵元素中计算出来的一个值。
A diagonal
matrix has all its non-diagonal elements equal to zero.
对角矩阵的非对角线元素都等于零。
The transpose of a
matrix is obtained by flipping the
matrix over its diagonal, which switches the row and column indices of the elements.
矩阵的转置是通过将其沿对角线翻转得到的，这会交换元素的行和列索引。
The identity
matrix is a square
matrix with ones on the main diagonal and zeros everywhere else.
单位矩阵是一个主对角线上的元素为1，其他位置的元素为0的方阵。
Multiplying a
matrix by a scalar results in another
matrix with each element multiplied by that scalar.
将一个矩阵乘以一个标量会得到一个新的矩阵，其中每个元素都是原矩阵对应元素与该标量的乘积。
Matrix addition is performed by adding corresponding elements of two matrices.
矩阵加法是通过将两个矩阵的对应元素相加来完成的。
The inverse of a square
matrix, if it exists, is another
matrix that when multiplied with the original
matrix results in the identity
matrix.
如果存在的话，方阵的逆矩阵是另一个矩阵，它与原矩阵相乘的结果是单位矩阵。
A system of linear equations can be represented as a
matrix equation.
线性方程组可以表示为矩阵方程。
In computer graphics, transformation matrices are used to manipulate 2D or 3D objects.
在计算机图形学中，变换矩阵用于操作2D或3D对象。
In the future, the board will collaborate with CITS Overseas to create a comprehensive new media matrix.
未来，董事会将与CITS Overseas合作，创建一个全面的新媒体矩阵。
Based on the results of independent, scientific and fair market research and laboratory tests, Panda Guide created a proprietary review matrix and standard system for agricultural products, which is able to rate premium agricultural products in a one to three-star score.
根据独立、科学、公平的市场调查和实验室测试结果，Panda Guide创建了一个专有的农产品审查矩阵和标准体系，能够将优质农产品评为一到三星级。
DCP indicated it will work closely with Datong's management team to create a new insurance ecosystem driven by product customization, demand matching, and a comprehensive service matrix to provide professional insurance services to Chinese consumers.
DCP表示，它将与大同的管理团队密切合作，以产品定制、需求匹配和综合服务矩阵为驱动，创建一个新的保险生态系统，为中国消费者提供专业的保险服务。
"We will continue to incubate a multi-brand matrix with a differentiated competitive edge to cover sports-loving consumers in different market segments and different fields," he added.
他说,将继续孵化多品牌矩阵,以差异化竞争优势覆盖不同市场领域、不同圈层的体育爱好者。
"With further complement to the flagship store on JD this year, Devialet has gradually improved and expanded its store matrix and sales channels in China, achieving more than double sales growth on both Tmall and JD in 2020.
今年，Devialet在中国进一步补充了其在京东的旗舰店，逐步优化和扩展了其在中国的门店矩阵和销售渠道，从而在2020年实现了在天猫和京东销售的翻倍增长。
Liang said future emphasis will be placed on promoting rural and countryside travel plans inside China, elevating services and content offerings, and building a content marketing matrix facilitating industrial players.
梁建章表示，未来将重点推进国内乡村游和周边游，提升服务和内容供给，构建赋能产业玩家的内容营销矩阵。
The US ITC has decided to launch section 337 investigation into certain active matrix OLED display devices and related components.
美国国际贸易委员会（US ITC）已决定启动针对某些主动矩阵OLED显示设备及其相关组件的第337节调查。
The complaint alleges violations of section 337 of the Tariff Act of 1930 in the importation into the United States and sale of certain active matrix OLED display devices and components thereof that infringe patents.
此投诉指控违反了1930年关税法的第337条，涉及进口到美国并销售某些侵犯专利的有源矩阵OLED显示设备及其组件。
"However, just as Disney doesn't depend on a single IP, it requires a matrix of IPs for Pop Mart to nurture more sustainable growth for its brands," he said.
“然而，就像迪士尼不依赖单一IP一样，Pop Mart需要一个IP矩阵来为其品牌培育更可持续的增长，”他表示。
Industry big names such as ZhenFund and Matrix Partners China will come once every quarter to provide their professional advice, said Paul Stoffels, vice-chairman of the executive committee at Johnson & Johnson.
The Bund China Brand Innovation List, which is now in its third year, evaluates the value of 15,110 brands through a comprehensive matrix by analyzing their marketing input, synergies between marketing and innovation, as well as the ability to manage brands.
In the process of chemical reactions, the most significant challenge in finding viable synthetic pathways is navigating the complex matrix of synthetic possibilities while accounting for what has been done, what could be done and what starting materials are available.
It is a matrix of measurement used more to evaluate the general progress of certain developments that imply both the financial and social impact the corporation can have.
Live broadcast, algorithm-backed advertisements and customized influencer recommendations have formed a strong matrix in Alibaba's ecosystem to draw in customers and predict their shopping patterns.
The fashion show taking place atop the roof of an office building in Shanghai's financial hub Lujiazui is a feast for the eyes and ears: Set against the background of the Huangpu River and the skyline of the century-old Bund on a breezy September afternoon, a matrix of glamorous models, both male and female, walk the runway to the cadence of a Shanghai-dialect monologue.
Chinese companies like Alibaba are proactively using their seamless digital marketing matrix to help brands navigate the complex marketing landscape, said Michael Dunn, chairman and CEO of Prophet, a global brand and marketing consultancy.
Investors, including Matrix Partners China, Sequoia Capital and IDG Capital Partners, also backed internet-based interior decoration labels in recent years.
Other investors includes Tencent, YF Capital, Matrix Partners China and ZTwo Capital.
Leading venture capital firms, such as Matrix Partners China, Northern Light Venture Capital and Cash Capital, have provided funding, although Yang declined to disclose detailed figures.
The financing is led by Sequoia Capital, and other investors, including Tencent Holding, YF Capital, ZhenFund, Matrix Partners China and ZTwo Capital.
July 6, E round of funding of more than $700 million, fund providers include Alibaba Group Holding Ltd, Hony Capital, CITIC Private Equity, Didi Chuxing and DST GlobalApril 22, D+ round of funding from Ant FinancialMar 1, D round of funding of $450 million, fund providers include DST Global, Didi Chuxing, CITIC Private Equity, Matrix Partners China, Coatue Management and AtomicoFunding of Mobike Technology Co LtdJune 16, E round of funding of more than $600 million, fund providers include Tencent Holdings Ltd, Sequoia Capital, Hillhouse Capital, TPG Capital, BOCOM International Holdings Co, ICBC International Holdings and Farallon CapitalFeb 20, D+ round of funding, fund providers include Temasek Holdings and Hillhouse CapitalJan 23, D+ round of funding from FoxconnJan 4, D round of funding of $215 million, fund providers include Tencent Holdings Ltd, Warburg Pincus, TPG Capital, Ctrip.
Biofilm is created by an accumulation of bacteria that develops a protective matrix made up of organic polymers.
In order to eliminate biofilms, the first step is to degrade the organic matrix using enzyme.
Volkswagen has built two MEB (Modular electric drive matrix) plants in two different manufacturing bases of the group in China, for the production of pure EVs, according to Zhi Yixiang, director of corporate and joint-venture affairs, Volkswagen Group China.
The battery system produced at the plant is a crucial component for Volkswagen Anhui's modular electric drive matrix electric vehicle production, and 96 percent of the components required for battery production are supplied locally.
Global investors such as Sequoia China, Matrix Partners China and Hillhouse Capital have poured money into the sector.
Despite the challenging macroeconomic environment, the company in 2022 continued to enhance its technological capabilities, enrich its diversified product matrix and propel global expansion, said Lai Jinnan, founder and CEO of Lizhi.
China has built a structured matrix of large hydropower stations in the basins of major rivers, especially those in the southwest.
Besides the launch of the cross-border direct mail parcel service, it has developed international air freight, international sea freight, overseas warehouses and international express services, gradually building a full-chain logistics product matrix.
Investors included Northern Light Venture Capital, Sinovation Ventures, Matrix Partners China and Sequoia Capital China.
"However, most of China's coal matrix has already been built, so its current operating costs may still be lower, and competition among generation technologies in China is not purely based on costs, he added.
“然而，中国大部分煤炭基础设施已经建成，因此其当前运营成本可能仍然较低，而且在中国，发电技术之间的竞争并非完全基于成本，”他补充道。
N5 Capital and Matrix Partners China jointly led the investment.
N5 Capital和Matrix Partners China共同领投了这笔投资。
For example, a livestreaming matrix is taking shape at L'Oreal Paris, one of the best-selling beauty brands in China, where the function is effectively embedded in the brand's daily marketing routine.
Zhu said the French company has seen clients from third-and lower-tier cities grow by 60 percent since its namesake flagship store and a matrix of reseller stores opened in 2018, while the number of orders secured jumped 80 percent.
Local authorities said that five companies exhibiting their wares at the expo have recently based themselves in Yanqing, aiming to perform a leading role in fields including the research and development of soil matrix and germplasm resources.
That has given an edge to the likes of Douyin, a high-flying short video app that is fast rising as a staple in the digital marketing matrix of most brands.
From 2010 to 2017, more than 40 venture capital firms have entered the sector, including Sequoia Capital China, IDG Capital, Matrix Partners China and Zhen Fund.
Ofo has so far completed nine rounds of financing valued at over $2 billion, attracting industry leaders and major investment institutions such as Alibaba, Didi Chuxing, Ant Financial and Matrix Partners.
Its first eVTOL prototype Matrix 1 has 16 lift rotors for vertical flight and four propellers for wing-borne cruise flight.
We are also eyeing enhancing our product matrix to tap the market trend," Shen said.
The standard equipment of the Cayenne has been expanded to include Matrix LED Headlights, 20-inch wheels, front and rear Park Assist including a reversing camera, and a smartphone tray with inductive charging at up to 15 watts.
The batteries can deliver a power range of 150-600 kilowatts and an energy matrix of 44-150 kilowatt-hours.
Volkswagen Anhui focuses on NEV R&D and manufacturing based on the group's renowned modular electric drive matrix (MEB) platform.
"Following the ID.3, this is already the second model based on the modular electric drive matrix," said Ralf Brandstaetter, chief executive officer of the Volkswagen brand.
It is the second Volkswagen-branded model to sport the matrix headlights, which are composed of individually controlled light-emitting diodes.
Its main backers include venture capital firm Matrix Partners China, State-owned Shougang Fund and conglomerate Yintai Group.
Thanks to the new configuration, the HD matrix LED headlights illuminate the road precisely.
"The TAYRON not only extends the product lineup of the FAW-VW family, but serves as a foothold for the TAYRON family to make a comprehensive deployment in the high-end midsize SUV product matrix," Jahn said.
To better survive in the competition, the company released a so-called "transverse matrix" product layout last year, focusing on basic, performance and new energy vehicle systems, as well as electric, intelligent and network-connected technologies.
The La Festa, newly launched on Friday at Beijing Hyundai's Yantai research and development center in Shandong province, is the first high-performance sedan of the transverse matrix; the model is only provided to Chinese customers.
The company says the new model is leading the way with high-tech features including Night-Vision, head-up display, a high-end Dynaudio sound system and Matrix LED headlights.
CHJ said in a statement that the new investment is led by venture capital company Matrix Partners China.
Matrix Partners China, Blue Run Ventures and Hike Capital increased their investment.
Optional LED matrix headlights－also available for the first time in the compact segment－distinguish the car with millions of combinations.
Digitally-controlled Matrix LED units at the front and rear produce an excellent light yield.
Miniscule Digital Matrix projectors make their mark on the road ahead, turning light into a versatile, dynamic channel of communication with its surroundings.
The brand with the four rings was the first in the world to adopt full LED headlights, and gave Matrix LED technology, laser lighting and OLED technology a significant push toward their breakthroughs.
The MIIT said it will include carbon-based materials in the 14th five-year plan (2021-25) for raw material industrial development, and also include SiC and carbon matrix composites in the 14th five-year plan for industrial technological innovation development.
According to the statement, the ministry will include carbon-based materials in the 14th Five-Year Plan raw material development plan, and include silicon carbide and carbon matrix composites into the 14th Five-Year Plan industrial technological innovation development plan, in order to support the industry to tackle technology barriers to improve product quality and promote modernization of industrial chains.
In October, scientists in Austria were reported to have developed a high-resolution 3D printing technique that uses a novel bioink to embed cells in a 3D matrix.
Venture capital firm Matrix Partners China said it expects the size of the carbon accounting market to stand at tens of billions of yuan, based on a carbon allowance trading volume of 8.5 billion yuan.
China has initially established a multi-level capital market matrix including STAR Market, ChiNext and Beijing Stock Exchange, facilitating the self-reliance development of science and technology, Economic Daily reported on Tuesday.
The measures include rolling out the matrix for regulators to evaluate banking services for small and micro businesses, further reform of small and medium-sized banks to accelerate their capital replenishment by raising funds through multiple channels and improve their corporate governance.
Key measures in this regard include rolling out the matrix for regulators to evaluate banking services for small and micro business, the reform scheme for small and medium-sized banks to replenish capital and improve governance, as well as detailed regulations of the ChiNext's market-based reforms for new share sales, the statement said.
Specifically, the evaluation matrix could act as a long-term mechanism of motivating banks to customize services for small businesses, while expediting the capital replenishment in small and medium-sized banks will strengthen their capacity of serving business while maintaining operational stability, Wen said.
The company has corporate shareholders, including entities affiliated to China's internet giant Tencent, Matrix Partners China III Hong Kong Limited, and entities affiliated with US venture capital firm Sequoia, according to its prospectus.
For example, Tencent is as big as Facebook," said Harry Man, a partner and founding member of Matrix Partners China, a venture capital company founded in 2008.
According to Matrix data, the total market capitalization of China-based large-cap technology companies, which form a large part of the Chinese unicorn universe, has reached $1.94 trillion by the end of 2017, compared with $23 billion a decade ago.
Matrix is now running four US dollar-denominated funds and six yuan-denominated funds, with total assets under management worth more than 20 billion yuan.
Xu described the ideal financial regulatory framework as a "matrix": on the vertical line from top to bottom, with the cabinet-level Financial Stability and Development Committee at the top, while retaining the existing structure of one central bank supported by three special regulatory committees for banking, securities and insurance, and a foreign exchange regulator－the State Administration of Foreign Exchange.
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