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We study the ability of future CMB anisotropy experiments and redshiftsurveys to constrain a thirteen-dimensional parameterization of the adiabaticcold dark matter model. Each alone is unable to determine all parameters tohigh accuracy. However, considered together, one data set resolves thedifficulties of the other, allowing certain degenerate parameters to bedetermined with far greater precision. We treat in detail the degeneraciesinvolving the classical cosmological parameters, massive neutrinos,tensor-scalar ratio, bias, and reionization optical depth as well as howredshift surveys can resolve them. We discuss the opportunities for internaland external consistency checks on these measurements. Previous papers onparameter estimation have generally treated smaller parameter spaces; in directcomparisons to these works, we tend to find weaker constraints and suggestnumerical explanations for the discrepancies.Comment: Submitted to ApJ. LaTeX, 20 pages, emulateapj.sty and  onecolfloat.sty. Minor errors in Table 8 corrected; reference adde

Cosmic Complementarity: Joint Parameter Estimation from Cosmic Microwave Background Experiments and Redshift Surveys