<Dl> <Dd> R (x) → S (x) ∑ i = 0 n a i x i ↦ ∑ i = 0 n f (a i) x i, (\ displaystyle (\ begin (aligned) R (x) & \ to S (x) \ \ \ sum _ (i = 0) ^ (n) a_ (i) x ^ (i) & \ mapsto \ sum _ (i = 0) ^ (n) f (a_ (i)) x ^ (i), \ end (aligned))) </Dd> </Dl> <Dd> R (x) → S (x) ∑ i = 0 n a i x i ↦ ∑ i = 0 n f (a i) x i, (\ displaystyle (\ begin (aligned) R (x) & \ to S (x) \ \ \ sum _ (i = 0) ^ (n) a_ (i) x ^ (i) & \ mapsto \ sum _ (i = 0) ^ (n) f (a_ (i)) x ^ (i), \ end (aligned))) </Dd> <P> which is also a ring homomorphism . </P> <P> Several methods for specifying functions of real or complex variables start from a local definition of the funcion at a point or on a neighbourhood of a point, and then extend by continuity the function to a much larger domain . Frequently, for a starting point x 0, (\ displaystyle x_ (0),) there are several possible starting values for the function . </P>

What does e mean in domain and range