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We combine a limited number of accurately measured transition frequencies inhydrogen and deuterium, recent quantum electrodynamics (QED) calculations, and,as an essential additional ingredient, a generalized least-squares analysis, toobtain precise and optimal predictions for hydrogen and deuterium transitionfrequencies. Some of the predicted transition frequencies have relativeuncertainties more than an order of magnitude smaller than that of the g-factorof the electron, which was previously the most accurate prediction of QED.Comment: 4 pages, RevTe

Precise Calculation of Transition Frequencies of Hydrogen and Deuterium Based on a Least-Squares Analysis