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Is there a shorter notation for identity function (fun x -> x), other then defining your own? Writing
Seq.countBy (fun x -> x)
looks so wordy.
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It is clear that all identity functions are one-to-one. The function h:A→A defined by h(x)=c for some fixed element c∈A, is an example of a constant function.
y=x. So,the graph of an identity function is a straight line passing through the origin.
Definition. f(X) = X for all elements X in M. In other words, the function value f(X) in the codomain M is always the same as the input element X in the domain M. The identity function on M is clearly an injective function as well as a surjective function, so it is bijective.
Let R be the set of real numbers. Thus, the real-valued function f : R → R by y = f(a) = a for all a ∈ R, is called the identity function. Here the domain and range (codomain) of function f are R. Hence, each element of set R has an image on itself.
There is a short version id which is equal to fun x -> x
Also, for your case you can just do Seq.sort
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