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Vector Space
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', may be added together and multiplied ("scaled") by numbers called '' scalars''. Scalars are often real numbers, but can be complex numbers or, more generally, elements of any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called ''vector axioms''. The terms real vector space and complex vector space are often used to specify the nature of the scalars: real coordinate space or complex coordinate space. Vector spaces generalize Euclidean vectors, which allow modeling of physical quantities, such as forces and velocity, that have not only a magnitude, but also a direction. The concept of vector spaces is fundamental for linear algebra, together with the concept of matrix, which allows computing in vector spaces. This provides a concise and synthetic way for manipulating and studying systems of linear eq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vector Add Scale
Vector most often refers to: *Euclidean vector, a quantity with a magnitude and a direction *Vector (epidemiology), an agent that carries and transmits an infectious pathogen into another living organism Vector may also refer to: Mathematics and physics *Vector (mathematics and physics) **Row and column vectors, single row or column matrices **Vector space ** Vector field, a vector for each point Molecular biology *Vector (molecular biology), a DNA molecule used as a vehicle to artificially carry foreign genetic material into another cell **Cloning vector, a small piece of DNA into which a foreign DNA fragment can be inserted for cloning purposes **Shuttle vector, a plasmid constructed so that it can propagate in two different host species **Viral vector, a tool commonly used by molecular biologists to deliver genetic materials into cells Computer science *Vector, a one-dimensional array data structure **Distance-vector routing protocol, a class of routing protocols **Dope ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
