This thesis describes the contribution of partially reconstructed hadronic decays in the world's first observation of B(sub s)(sup 0)-(bar B)(sub s)(sup 0) oscillations. The analysis is a core member of a suite of closely related studies whose combined time-dependent measurement of the B(sub s)(sup 0)-(bar B)(sub s)(sup 0) oscillation frequency (Delta)m(sub s) is of historic significance. Using a data sample of 1 fb(sup -1) of (bar p) collisions at (radical)s = 1.96 TeV collected with the CDF-II detector at the Fermilab Tevatron, they find signals of 3150 partially reconstructed hadronic B(sub s) decays from the combined decay channels B(sub s)(sup 0) (yields) D*(sub s)(sup -) (pi)(sup +) and B(sub s)(sup 0) (yields) D(sub s)(sup -) (rho)(sup +) with D(sub s)(sup -) (yields) (phi)(pi)(sup -). These events are analyzed in parallel with 2000 fully reconstructed B(sub s)(sup 0) (yields) D(sub s)(sup -) (pi)(sup +) (D(sub s)(sup -) (yields) (phi)(pi)(sup -)) decays. The treatment of the data is developed in stages of progressive complexity, using high-statistics samples of hadronic B(sup 0) and B(sup +) decays to study the attributes of partially reconstructed events. The analysis characterizes the data in mass and proper decay time, noting the potential of the partially reconstructed decays for precise measurement of B branching fractions and lifetimes, but consistently focusing on the effectiveness of the model for the oscillation measurement. They efficiently incorporate the measured quantities of each decay into a maximum likelihood fitting framework, from which they extract amplitude scans and a direct measurement of the oscillation frequency. The features of the amplitude scans are consistent with expected behavior, supporting the correctness of the calibrations for proper time uncertainty and flavor tagging dilution.
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