Hi yashez,

I've run into the same problem myself.

I was trying to extend Vector with mathematical functions and operators so:

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type Microsoft.FSharp.Math.Vector<'a > with


    static member Exp xv =  Vector.map exp xv


    /// Dot Product of two vectors multiplication of two vectors.
    [<OverloadID("VectorVectorMultiplyPlus")>]
    static member ( *+ ) (xv: Vector<'a>) (yv: Vector<'a>) = Vector.sum (xv .* yv)

so I could write stuff like:

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let μ = pmf *+ exp (d0 * xv)

alas I get a similar errors:
The type 'vector' does not support any operators named 'Exp'The type 'vector' does not support any operators named '*+'

Having native support for more mathematical functions, operators ( e.g. ** and ScalarVectorAdd ), interfaces ( e.g. IList) in vector and matrix would be cool.

Type constraints and operators in extensions would be highly desirable (if found to be well-behaved) and very powerful indeed.

Until such time I'll continue to debate which of the following is more elegant:

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let Sv          = vector [ for x in xv -> S * exp ( µ * T + d0 * x ) ]

let Sv          = S * Vector.map (fun x -> exp ( µ * T + d0 * x ) ) xv

At the moment form (1) is ahead.

regards,

Danny