关于实际汇率real exchange rate

关于实际汇率real exchange rate
由于课程是英文教的所以看得不太明白 上网查了查中文的 更糊涂了 希望懂金融能看懂这段英文的大师帮下忙
Real exchange rates：Exchange rates that have been adjusted for the inflation differential between two countries.
The purchasing power of two currencies relative to one another.While two currencies may have a certain exchange rate on the foreign exchange market,this does not mean that goods and services purchased with one currency cost the equivalent amounts in another currency.This is due to different inflation rates with different currencies.Real exchange rates are thus calculated as a nominal exchange rate adjusted for the different rates of inflation between the two currencies.See also:Purchasing power parity.
从上述来看 也就是这个实际汇率是要考虑到通货膨胀的因素（real exchange rates have been adjusted for the inflation）是么?可是中文的定义是在名义汇率基础上剔除了通货膨胀因素后的汇率,又有公式实际汇率=名义汇率-通货膨胀率
这么一来岂不是矛盾?还是我英文的定义理解错了?感激不尽!