  We present the entropic uncertainty relations for multiple measurement
settings in quantum mechanics. Those uncertainty relations are obtained for
both cases with and without the presence of quantum memory. They take concise
forms which can be proven in a unified method and easy to calculate. Our
results recover the well known entropic uncertainty relations for two
observables, which show the uncertainties about the outcomes of two
incompatible measurements. Those uncertainty relations are applicable in both
foundations of quantum theory and the security of many quantum cryptographic
protocols.
