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413047-Underground-Commercial-Sex-Economy

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In this work, the LoCC will be invoked in a variety of regions and time intervals. To start, the region<br />

be taken as any of the following eight ( ) cities in the United States:<br />

will<br />

Atlanta<br />

Dallas<br />

Denver<br />

Miami<br />

San Diego<br />

Seattle<br />

Washington, DC<br />

Kansas City<br />

Furthermore, two ( ) time intervals will be considered: and . These are<br />

chosen as part of the analysis presented in section 0–A, and are taken thereafter to be<br />

and<br />

, and year.<br />

Since, in the context of this work, and , the LoCC yields a system of simultaneous<br />

linear equations on variables, which we denote by . The contents of this system of<br />

constraints are explicitly given below:<br />

Clearly, 16 linear equations are insufficient to uniquely specify the values of 80 variables, which is to say,<br />

is underdetermined. We must proceed by finding additional constraints. Indeed, in the sections<br />

that follow, we shall uncover a large number of structured constraints (448, to be precise) on the ratios of<br />

variables appearing on the right hand side of the above 16 equations. We will also develop direct estimates<br />

of the numerical values of the variables appearing on the left hand sides. We use these variables<br />

together to constrain the space of feasible solutions. Then, within that small space of feasible solutions, we<br />

will find the unique point or “solution” that most closely satisfies the 16 equations above. In this manner,<br />

we shall be able to deduce estimates for all the unknowns.<br />

26

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