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In algebraic geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects. It means the general case situation, as opposed to some more special or coincidental cases that are possible, which is referred to as special position. Its precise meaning differs in different settings.
For example, generically, two lines in the plane intersect in a single point (they are not parallel or coincident). One also says "two generic lines intersect in a point", which is formalized by the notion of a generic point. Similarly, three generic points in the plane are not collinear; if three points are collinear (even stronger, if two coincide), this is a degenerate case.
This notion is important in mathematics and its applications, because degenerate cases may require an exceptional treatment; for example, when stating general theorems or giving precise statements thereof, and when writing computer programs (see generic complexity).
computational geometry, generalposition is a notion of genericity for a set of points, or other geometric objects. It means the general case situation, as...
good, general rule for victims of submersion injuries unless they have fluid in the airway or are breathing, in which case they should be positioned in the...
join OPEC (2007), has not yet held the position. Due to political disagreements over the Secretary Generalposition during the Iran–Iraq War, OPEC between...
The Third Position is a set of neo-fascist political ideologies that were first described in Western Europe following the Second World War. Developed in...
The original position (OP), often referred to as the veil of ignorance, is a thought experiment used for reasoning about the principles that should structure...
Lotus position or Padmasana (Sanskrit: पद्मासन, romanized: padmāsana) is a cross-legged sitting meditation pose from ancient India, in which each foot...
players on court per team, each assigned to positions. Historically, these players have been assigned to positions defined by the role they play on the court...
The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radio navigation system owned by the United States government and operated...
on a team is assigned a particular fielding position when it is their turn to play defense. Each position conventionally has an associated number, for...
for points in convex position. The Erdős–Szekeres theorem guarantees that every set of n {\displaystyle n} points in generalposition (no three in a line)...
president of the United Nations General Assembly is a position voted by representatives in the United Nations General Assembly (UNGA) on a yearly basis...
location of animals over time; positioning system, the mechanisms for the determination of geographic positions in general; internet geolocation, geolocating...
of meaning. Position is a general term for a configuration of the human body. Posture means an intentionally or habitually assumed position. Pose implies...
a senior staff officer, effectively an assistant to a general officer. It was a special position for lieutenant-colonels and colonels in staff service...
Special position may refer to: Geometric objects not being in generalposition, such as parallel lines The status of the Roman Catholic Church in Ireland...
highest-ranking officer in the United States Marine Corps. It is a four-star generalposition and a member of the Joint Chiefs of Staff. The CMC reports directly...
Social position is the position of an individual in a given society and culture. A given position (for example, the occupation of priest) may belong to...
The Solicitor General of Canada was a position in the Canadian ministry from 1892 to 2005. The position was based on the Solicitor General in the British...
of positions: general and special. Generalpositions are left invariant only for the identity operation (E). Each space group has only one general position...
general is a political appointee of the President of the United States and takes office after confirmation by the United States Senate. The position was...
There are two basic positions of the arms in ballet. In one, the dancer keeps the fingers of both arms fully touching to form an oval shape, either almost...