If xi, i = 1,2,...,n, is a local coordinate system on a manifold M with metric tensor, then the tangent vectors
define a local coordinate basis of the tangent space to M at each point of its domain.
Read more about this topic: Christoffel Symbols
Other articles related to "definition, definitions":
... released the Brundtland Report, which included what is now one of the most widely recognised definitions "Sustainable development is development that meets the needs of the present without compromising ... 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 ...
... These three definitions may be described as the ethno-linguistic definition, the religious-cultural definition, and the patrilineal definition ...
... 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 ... Footage from non-HD sources is presented in a standard definition, 43 format with stylized pillarboxes ...
... In medical dictionaries, definitions should to the greatest extent possible be simple and easy to understand, preferably even by the general public ...
... 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 nondigestible carbohydrates and lignin that are ...
Famous quotes containing the word definition:
“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)
“The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
—Ralph Waldo Emerson (18031882)
“Im beginning to think that the proper definition of Man is an animal that writes letters.”
—Lewis Carroll [Charles Lutwidge Dodgson] (18321898)