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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 ...