Analytic function of a matrixIn mathematics, every analytic function can be used for defining a matrix function that maps square matrices with complex entries to square matrices of the same size. This is used for defining the exponential of a matrix, which is involved in the closed-form solution of systems of linear differential equations. There are several techniques for lifting a real function to a square matrix function such that interesting properties are maintained. All of the following techniques yield the same matrix function, but the domains on which the function is defined may differ.
FactoryA factory, manufacturing plant or a production plant is an industrial facility, often a complex consisting of several buildings filled with machinery, where workers manufacture items or operate machines which process each item into another. They are a critical part of modern economic production, with the majority of the world's goods being created or processed within factories. Factories arose with the introduction of machinery during the Industrial Revolution, when the capital and space requirements became too great for cottage industry or workshops.
Sustainable developmentSustainable development is an organizing principle that aims to meet human development goals while also enabling natural systems to provide necessary natural resources and ecosystem services to humans. The desired result is a society where living conditions and resources meet human needs without undermining the planetary integrity and stability of the natural system. Sustainable development tries to find a balance between economic development, environmental protection, and social well-being.
Community psychologyCommunity psychology is concerned with the community as the unit of study. This contrasts with most psychology which focuses on the individual. Community psychology also studies the community as a context for the individuals within it, and the relationships of the individual to communities and society. Community psychologists seek to understand the functioning of the community, including the quality of life of persons within groups, organizations and institutions, communities, and society.
Covariance matrixIn probability theory and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the covariance between each pair of elements of a given random vector. Any covariance matrix is symmetric and positive semi-definite and its main diagonal contains variances (i.e., the covariance of each element with itself). Intuitively, the covariance matrix generalizes the notion of variance to multiple dimensions.
Factory systemThe factory system is a method of manufacturing using machinery and division of labor. Because of the high capital cost of machinery and factory buildings, factories are typically privately owned by wealthy individuals or corporations who employ the operative labor. Use of machinery with the division of labor reduced the required skill-level of workers and also increased the output per worker. The factory system was first adopted by successive entrepreneurs in Britain at the beginning of the Industrial Revolution in the late-eighteenth century and later spread around the world.
ManufacturingManufacturing is the creation or production of goods with the help of equipment, labor, machines, tools, and chemical or biological processing or formulation. It is the essence of the secondary sector of the economy. The term may refer to a range of human activity, from handicraft to high-tech, but it is most commonly applied to industrial design, in which raw materials from the primary sector are transformed into finished goods on a large scale.
Community organizingCommunity organizing is a process where people who live in proximity to each other or share some common problem come together into an organization that acts in their shared self-interest. Unlike those who promote more-consensual community building, community organizers generally assume that social change necessarily involves conflict and social struggle in order to generate collective power for the powerless. Community organizing has as a core goal the generation of durable power for an organization representing the community, allowing it to influence key decision-makers on a range of issues over time.
Chinese charactersChinese characters are logograms developed for the writing of Chinese. Chinese characters are the oldest continuously used system of writing in the world. By virtue of their widespread current use throughout East Asia and Southeast Asia, as well as their profound historic use throughout the Sinosphere, Chinese characters are among the most widely adopted writing systems in the world by number of users. The total number of Chinese characters ever to appear in a dictionary is in the tens of thousands, though most are graphic variants, were used historically and passed out of use, or are of a specialized nature.
Local purchasingLocal purchasing is a preference to buy locally produced goods and services rather than those produced farther away. It is very often abbreviated as a positive goal, "buy local" or "buy locally', that parallels the phrase "think globally, act locally", common in green politics. On the national level, the equivalent of local purchasing is import substitution, the deliberate industrial policy or agricultural policy of replacing goods or services produced on the far side of a national border with those produced on the near side, i.