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Methods and devices relating to measuring a landing position and mass of an analyte adsorbed to a nanomechanical resonator by resolving adsorbate-induced frequency shifts in at least two modes of a resonator resonance frequency, where during the resolving of the frequency shifts in the at least two modes analysis is so that the transformation (G) from the fractional-frequency shift pair to the analyte mass-position pair is one-to-one. Complex protein mixtures can be analyzed at high sensitivity and resolution.