The Math State of Reciprocal Functions is a massive, orderly nation, renowned for its closed borders, free-roaming dinosaurs, and frequent executions. The hard-nosed, cynical, humorless, devout population of 4.824 billion Reciprocal Functionsians are ruled without fear or favor by a psychotic dictator, who outlaws just about everything and refers to the populace as "my little playthings."

The large, corrupt, moralistic, well-organized government juggles the competing demands of Law & Order, Industry, and Education. The average income tax rate is 60.9%.

The frighteningly efficient Reciprocal Functionsian economy, worth 438 trillion Mathkorunas a year, is mostly comprised of black market activity, especially in Arms Manufacturing, Uranium Mining, Furniture Restoration, and Beef-Based Agriculture. State-owned companies are common. Average income is 90,918 Mathkorunas, and evenly distributed, with the richest citizens earning only 3.3 times as much as the poorest.

The nation is famous for bravely sending wave after wave of its soldiers until the enemy runs out of bullets, Reciprocal Functionsian TV is considered cruel and unusual punishment in other countries, pareidolic SETI scientists swear there's a message from aliens hidden within pi, and the government would rather execute a hundred innocent men than let one guilty one appeal a verdict. Crime, especially youth-related, is totally unknown, thanks to a very well-funded police force and progressive social policies in education and welfare. Reciprocal Functions's national animal is the Graphs, which teeters on the brink of extinction due to widespread deforestation.

Reciprocal Functions is ranked 69,556^th in the world and 17^th in Mathematica for Lowest Crime Rates, with 70.13 law-abiding acts per hour.