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Unformatted text preview: whose components are defined in the general set of variables Bi and are functions of B1, B2, B3. If the variables Bi can be changed to ei by an ad missible and proper transformation, then we can define new components of the system in the new variables @. The systcm will be given various names according to the way in which the new and the old components are related. A system is called a scalar if it has only a single component q5 in the variables Bi and a single component 6 in the variables @, and if q5 and 6 are numerically equal at the corresponding points, A system is called a contravariant vector field or a contravariant tensor field of rank one, if it has three components ti in the variables Bi and three components p in the variables ei, and if the components are related by the law tone may pass over the rest of this chapter and proceed directly to Chapter 3 on first reading....
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 Fall '05
 Thomson

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