What is the meaning of real valued functions of real variable ? and how is it different from the real valued functions of a single real variable?

Help will be appreciated.

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- Feb 23rd 2013, 12:05 AMmrmaaza123Ring theory
What is the meaning of real valued functions of real variable ? and how is it different from the real valued functions of a single real variable?

Help will be appreciated. - Mar 2nd 2013, 08:16 AMNehushtanRe: Ring theory
They are just functions . When , is a real-valued function of a single real variable.

The set of all functions forms an integral domain with addition and multiplication defined as follows: for all , and .