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":
... 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 ...
... which included what is now one of the most widely recognised definitions "Sustainable development is development that meets the needs of the present without ... 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 ...
... ESPN launched its 720p high-definition simulcast, originally branded as ESPNHD, on March 20, 2001 ... 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 ...
... These three definitions may be described as the ethno-linguistic definition, the religious-cultural definition, and the patrilineal definition, respectively ...
... 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 nondigestible ...
Famous quotes containing the word definition:
“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on life (based on wording in the First Edition, 1935)
“Scientific method is the way to truth, but it affords, even in
principle, no unique definition of truth. Any so-called pragmatic
definition of truth is doomed to failure equally.”
—Willard Van Orman Quine (b. 1908)
“The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.”
—William James (18421910)