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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