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Vector-valued function

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  Vector-valued function 19 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia A  vector-valued function , also referred to as a  vector function , is a  mathematical function  of one or more  variables  whose  range  is a set of multidimensional  vectors  or  infinite-dimensional vectors . The input of a vector-valued function could be a scalar or a vector (that is, the  dimension  of the  domain  could be 1 or greater than 1); the dimension of the function's domain has no relation to the dimension of its range. Example: Helix [ edit ] Further information:  Parametric curve A graph of the vector-valued function  r ( z ) = ⟨2 cos  z , 4 sin  z ,  z ⟩  indicating a range of solutions and the vector when evaluated near  z  = 19.5 A common example of a vector-valued function is one that depends on a single  real  parameter  t , often ...

Vector calculus

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  Vector calculus 53 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia Not to be confused with  Geometric calculus  or  Matrix calculus . This article includes a list of general  references , but  it lacks sufficient corresponding  inline citations .  Please help to  improve  this article by  introducing  more precise citations.   ( February 2016 )  ( Learn how and when to remove this template message ) Part of a series of articles about Calculus Fundamental theorem Leibniz integral rule Limits of functions Continuity Mean value theorem Rolle's theorem show Differential show Integral show Series show Vector show Multivariable show Advanced show Specialized show Miscellaneous v t e Vector calculus , or  vector analysis , is concerned with  differentiation  and  integration  of  vector fields , primarily in 3-dimensional  Euclidean space   � 3 . ...