  Uncertainty relation is one of the fundamental building blocks of quantum
theory. Nevertheless, the traditional uncertainty relations do not fully
capture the concept of incompatible observables. Here we present a stronger
Schr\"odinger-like uncertainty relation, which is stronger than the relation
recently derived by L. Maccone and A. K. Pati [Phys. Rev. Lett. 113 (2014)
260401]. Furthermore, we give an additive uncertainty relation which holds for
three incompatible observables, which is stronger than the relation newly
obtained by S. Kechrimparis and S. Weigert [Phys. Rev. A 90 (2014) 062118] and
the simple extension of the Schr\"odinger uncertainty relation.
