Given a dual pair, a dual topology on is a locally convex topology so that
Here denotes the continuous dual of and means that there is a linear isomorphism
Read more about this topic: Dual Topology
Other articles related to "definition, definitions":
... to be the components of plants that resist human digestive enzymes, a definition that includes lignin and polysaccharides ... The definition was later changed to also include resistant starches, along with inulin and other oligosaccharides ... Official definition of dietary fiber differs a little among different institutions Organization (reference) Definition Institute of Medicine Dietary fiber consists of ...
... included what is now one of the most widely recognised definitions "Sustainable development is development that meets the needs of the present without compromising the ability of future ... It offers an integrated vision and definition of strong sustainability ... It generates a more nuanced definition of sustainable development “the need to ensure a better quality of life for all, now and into the future, in a just and equitable manner, whilst living within the limits ...
... These three definitions may be described as the ethno-linguistic definition, the religious-cultural definition, and the patrilineal definition, respectively ...
... In medical dictionaries, definitions should to the greatest extent possible be simple and easy to understand, preferably even by the general public useful clinically or in related areas where the definition will be ...
... ESPN launched its 720p high-definition simulcast, originally branded as ESPNHD, on March 20, 2001 ... Live studio shows, along with most live events on ESPN, use high definition ... from non-HD sources is presented in a standard definition, 43 format with stylized pillarboxes ...
Famous quotes containing the word definition:
“According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animalsjust as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
—Ana Castillo (b. 1953)
“Its a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was mine.”
—Jane Adams (20th century)
“One definition of man is an intelligence served by organs.”
—Ralph Waldo Emerson (18031882)