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The equivalence class of (a, b) contains either (a – b, 0) if a ≥ b, or (0, b – a) otherwise. If n is a natural number, one can denote +n the equivalence class of (n, 0), and by –n the equivalence class of (0, n). This allows identifying the natural number n with the equivalence class +n. Addition of ordered pairs is done component-wise:
The Democratic Party is one of the two major contemporary political parties in the United States. Since the late 1850s, its main political rival has been the Republican Party; the two parties have since dominated American politics. The Democratic Party was founded in 1828.