<P> where a dot indicates differentiation in respect of time . </P> <P> With this notation the velocity becomes: </P> <Dl> <Dd> v = z _̇ = d (R e i θ (t)) d t = R d (e i θ (t)) d t = R e i θ (t) d (i θ (t)) d t = i R θ _̇ (t) e i θ (t) = i ω R e i θ (t) = i ω z (\ displaystyle v = (\ dot (z)) = (\ frac (d \ left (Re ^ (i \ theta (t)) \ right)) (dt)) = R (\ frac (d \ left (e ^ (i \ theta (t)) \ right)) (dt)) = Re ^ (i \ theta (t)) (\ frac (d (i \ theta (t))) (dt)) = iR (\ dot (\ theta)) (t) e ^ (i \ theta (t)) = i \ omega Re ^ (i \ theta (t)) = i \ omega z) </Dd> </Dl> <Dd> v = z _̇ = d (R e i θ (t)) d t = R d (e i θ (t)) d t = R e i θ (t) d (i θ (t)) d t = i R θ _̇ (t) e i θ (t) = i ω R e i θ (t) = i ω z (\ displaystyle v = (\ dot (z)) = (\ frac (d \ left (Re ^ (i \ theta (t)) \ right)) (dt)) = R (\ frac (d \ left (e ^ (i \ theta (t)) \ right)) (dt)) = Re ^ (i \ theta (t)) (\ frac (d (i \ theta (t))) (dt)) = iR (\ dot (\ theta)) (t) e ^ (i \ theta (t)) = i \ omega Re ^ (i \ theta (t)) = i \ omega z) </Dd>

What is the path of a moving dot called