vector

A vector may be considered as the position vector of a point P from an origin O or as a translation vector, a movement of space. In this way the zero vector may considered as the position vector of the origin or as no translation. The distinction between a vector and a coordinate vector may in some contexts be important, especially if more than one coordinate system is being used; in this case the same vector may have different coordinates in the two systems.

With a given coordinate system, a vector can be identified with an ordered pair (x,y) or ordered triple (x,y,z), whether considered as a position vector or a translation vector. This definition can easily be generalized to other dimensions. Addition and scalar multiplication may be defined componentwise. Other operations are important (see scalar product, vector product).

• figurate numbers
• figure
• financial mathematics
• finite
• finite differences
• finite element method
• finite field
• finite intersection property
• finitely generated
• finite population correction
• finite‐dimensional
• finitism
• first derivative
• first fundamental form
• first isomorphism theorem
• first-order logic
• first principles
• first‐order differential equation
• Fisher's exact test
• Fisher, Sir Ronald Aylmer
• fit
• fixed point
• fixed-point theorem
• fixed‐point iteration
• fixed‐point notation