Freedom of contractFreedom of contract is the process in which individuals and groups form contracts without government restrictions. This is opposed to government regulations such as minimum-wage laws, competition laws, economic sanctions, restrictions on price fixing, or restrictions on contracting with undocumented workers. The freedom to contract is the underpinning of laissez-faire economics and is a cornerstone of free-market libertarianism.
Completeness of the real numbersCompleteness is a property of the real numbers that, intuitively, implies that there are no "gaps" (in Dedekind's terminology) or "missing points" in the real number line. This contrasts with the rational numbers, whose corresponding number line has a "gap" at each irrational value. In the decimal number system, completeness is equivalent to the statement that any infinite string of decimal digits is actually a decimal representation for some real number.
ArXivarXiv (pronounced as "archive"—the X represents the Greek letter chi ⟨χ⟩) is an open-access repository of electronic preprints and postprints (known as e-prints) approved for posting after moderation, but not peer review. It consists of scientific papers in the fields of mathematics, physics, astronomy, electrical engineering, computer science, quantitative biology, statistics, mathematical finance and economics, which can be accessed online.
Alexander horned sphereThe Alexander horned sphere is a pathological object in topology discovered by . The Alexander horned sphere is the particular embedding of a sphere in 3-dimensional Euclidean space obtained by the following construction, starting with a standard torus: Remove a radial slice of the torus. Connect a standard punctured torus to each side of the cut, interlinked with the torus on the other side. Repeat steps 1–2 on the two tori just added ad infinitum.
