Complex analysisComplex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, quantum mechanics, and twistor theory. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.
Complex planeIn mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the x-axis, called the real axis, is formed by the real numbers, and the y-axis, called the imaginary axis, is formed by the imaginary numbers. The complex plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors.
DialecticDialectic (διαλεκτική, dialektikḗ; Dialektik), also known as the dialectical method, refers originally to dialogue between people holding different points of view about a subject, but wishing to arrive at the truth through reasoned argumentation. Dialectic resembles debate, but the concept excludes subjective elements such as emotional appeal and rhetoric. It has its origins in ancient philosophy and continued to be developed in the Middle Ages. In the modern period, Hegelianism refigured "dialectic" to no longer refer to a literal dialogue.
Dialectical materialismDialectical materialism is a materialist theory based upon the writings of Karl Marx and Friedrich Engels that has found widespread applications in a variety of philosophical disciplines ranging from philosophy of history to philosophy of science. As a materialist philosophy, Marxist dialectics emphasizes the importance of real-world conditions and the presence of functional contradictions within and among social relations, which derive from, but are not limited to the contradictions that occur in social class, labour economics, and socioeconomic interactions.
Lord–bondsman dialecticThe lord–bondsman dialectic (sometimes translated master–slave dialectic) is a famous passage in Georg Wilhelm Friedrich Hegel's Phenomenology of Spirit. It is widely considered a key element in Hegel's philosophical system, and it has heavily influenced many subsequent philosophers. The passage describes, in narrative form, the development of self-consciousness as such in an encounter between what are thereby (i.e., emerging only from this encounter) two distinct, self-conscious beings.
Complex systemA complex system is a system composed of many components which may interact with each other. Examples of complex systems are Earth's global climate, organisms, the human brain, infrastructure such as power grid, transportation or communication systems, complex software and electronic systems, social and economic organizations (like cities), an ecosystem, a living cell, and ultimately the entire universe.
Critique of Dialectical ReasonCritique of Dialectical Reason (Critique de la raison dialectique) is a 1960 book by the philosopher Jean-Paul Sartre, in which the author further develops the existentialist Marxism he first expounded in his essay Search for a Method (1957). Critique of Dialectical Reason and Search for a Method were written as a common manuscript, with Sartre intending the former to logically precede the latter. Critique of Dialectical Reason was Sartre's second large-scale philosophical treatise, Being and Nothingness (1943) having been the first.
Chrysler BuildingThe Chrysler Building is an Art Deco skyscraper on the East Side of Manhattan in New York City, at the intersection of 42nd Street and Lexington Avenue in Midtown Manhattan. At , it is the tallest brick building in the world with a steel framework, and it was the world's tallest building for 11 months after its completion in 1930. , the Chrysler is the 12th-tallest building in the city, tied with The New York Times Building. Originally a project of real estate developer and former New York State Senator William H.
Self-assemblySelf-assembly is a process in which a disordered system of pre-existing components forms an organized structure or pattern as a consequence of specific, local interactions among the components themselves, without external direction. When the constitutive components are molecules, the process is termed molecular self-assembly. Self-assembly can be classified as either static or dynamic. In static self-assembly, the ordered state forms as a system approaches equilibrium, reducing its free energy.
Seagram BuildingThe Seagram Building is a skyscraper at 375 Park Avenue, between 52nd and 53rd Streets, in the Midtown Manhattan neighborhood of New York City. Designed by Ludwig Mies van der Rohe along with Philip Johnson, Ely Jacques Kahn, and Robert Allan Jacobs, the high-rise tower is tall with 38 stories. The International Style building, completed in 1958, initially served as the headquarters of the Seagram Company, a Canadian distiller.
