History of Brazilian nationality History of Brazilian nationality Located in South America, Brazil is the fifth largest and fifth most populous nation in the world. First discovered by Portuguese explorer Pedro Álvares Cabral on April 22, 1500, it remained a Portuguese colony until it declared its independence on September 7, 1822. Brazil's economy was largely based on agriculture and mining; specifically the production of sugar and tobacco for export. As a result, land was concentrated in the hands of relatively few wealthy, plantation-owning families, and production was largely dependent on slave labor. The intermixing of these Europeans and Blacks, as well as the native
Quantum refereed game RG ⊆ QRG. proved QRG ⊆ EXP by a formulation of QRG using semidefinite programs (SDP). For a quantum refereed game, at the end of all the interactions, the referee outputs one of the two possible outcomes formula_41 to indicate whether Alice wins formula_42 or Bob wins formula_43. Setting formula_44 results in a quantum refereed game whose value is the maximum winning probability for Alice. Using the same notation as the zero sum quantum refereed game as above, the referee is represented by operators formula_45, Alice may pick a strategy from formula_46, and Bob from formula_47. Define where formula_50 is