Multivalued functionIn mathematics, a multivalued function, also called multifunction and many-valued function, is a set-valued function with continuity properties that allow considering it locally as an ordinary function. Multivalued functions arise commonly in applications of the implicit function theorem, since this theorem can be viewed as asserting the existence of a multivalued function. In particular, the inverse function of a differentiable function is a multivalued function, and is single-valued only when the original function is monotonic.
Function (mathematics)In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity).
Self-actualizationSelf-actualization, in Maslow's hierarchy of needs, is the highest level of psychological development, where personal potential is fully realized after basic bodily and ego needs have been fulfilled. Self-actualization was coined by the organismic theorist Kurt Goldstein for the motive to realize one's full potential: "the tendency to actualize itself as fully as possible is the basic drive ... the drive of self-actualization." Carl Rogers similarly wrote of "the curative force in psychotherapy - man's tendency to actualize himself, to become his potentialities .
Leasehold estateA leasehold estate is an ownership of a temporary right to hold land or property in which a lessee or a tenant holds rights of real property by some form of title from a lessor or landlord. Although a tenant does hold rights to real property, a leasehold estate is typically considered personal property. Leasehold is a form of land tenure or property tenure where one party buys the right to occupy land or a building for a given length of time. As a lease is a legal estate, leasehold estate can be bought and sold on the open market.
ApartmentAn apartment (American English), flat (British English, Indian English, South African English), or unit (Australian English) is a self-contained housing unit (a type of residential real estate) that occupies part of a building, generally on a single storey. There are many names for these overall buildings, see below. The housing tenure of apartments also varies considerably, from large-scale public housing, to owner occupancy within what is legally a condominium (strata title or commonhold), to tenants renting from a private landlord (see leasehold estate).
TransdisciplinarityTransdisciplinarity connotes a research strategy that crosses many disciplinary boundaries to create a holistic approach. It applies to research efforts focused on problems that cross the boundaries of two or more disciplines, such as research on effective information systems for biomedical research (see bioinformatics), and can refer to concepts or methods that were originally developed by one discipline, but are now used by several others, such as ethnography, a field research method originally developed in anthropology but now widely used by other disciplines.
Weierstrass elliptic functionIn mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions are also referred to as ℘-functions and they are usually denoted by the symbol ℘, a uniquely fancy script p. They play an important role in the theory of elliptic functions. A ℘-function together with its derivative can be used to parameterize elliptic curves and they generate the field of elliptic functions with respect to a given period lattice.
Self-realizationSelf-realization is a term used in western psychology, philosophy, and spirituality; and in eastern Indian religions. In the western understanding, it is the "fulfillment by oneself of the possibilities of one's character or personality" (see also self-actualization). In the Indian understanding, self-realization is liberating knowledge of the true Self, either as the permanent undying Purusha or witness-consciousness, which is atman (essence), or as the absence (sunyata) of such a permanent Self.
BASICBASIC (Beginners' All-purpose Symbolic Instruction Code) is a family of general-purpose, high-level programming languages designed for ease of use. The original version was created by John G. Kemeny and Thomas E. Kurtz at Dartmouth College in 1963. They wanted to enable students in non-scientific fields to use computers. At the time, nearly all computers required writing custom software, which only scientists and mathematicians tended to learn.
Urban renewalUrban renewal (also called urban regeneration in the United Kingdom and urban redevelopment in the United States) is a program of land redevelopment often used to address urban decay in cities. Urban renewal involves the clearing out of blighted areas in inner cities to clear out slums and create opportunities for higher class housing, businesses, and other developments. A primary purpose of urban renewal is to restore economic viability to a given area by attracting external private and public investment and by encouraging business start-ups and survival.
