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Microsoft SQL Server Analysis Services Function Page
Function Name: Min
Category: Statistical
Description: The Min function returns the minimum value for a numeric expression within the supplied set.
Syntax: MIN( «Set»[, «Numeric Expression»] )
Technet Link: MDX Min Function

The query below returns the Sale Amount measure and the MinValue calculated member. The MinValue calculated member takes the minimum value for members of the Fiscal Year level in the Fiscal hierarchy of the Date dimension.
      MEMBER [Measures].[MinValue] AS
      MIN([Date].[Fiscal].[Fiscal Year].Members, [Measures].[Sales Amount])
      {[Measures].[Sales Amount],[Measures].[MinValue]} ON COLUMNS,
      {[Date].[Fiscal].[Fiscal Year].Members} ON ROWS
      [Adventure Works]

The following query uses the Min function to return the value of the Product with the lowest List Price for each Product Subcategory.
      MEMBER [Measures].[MinMember] AS
      HEAD(ORDER([Product].[Product Categories].CurrentMember.Children, [Product].[Product].Properties("List Price"), ASC),1).Item(0).Name
      MEMBER [Measures].[MinValue] AS
      MIN([Product].[Product Categories].CurrentMember.Children, [Product].[Product].Properties("List Price"))
      {[Measures].[MinMember], [Measures].[MinValue]} ON COLUMNS,
      {[Product].[Product Categories].[Subcategory].Members} ON ROWS
      [Adventure Works]


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