haskell - Good examples of Not a Functor/Functor/Applicative/Monad? -

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Explaining to anyone how a class X is struggling to get a good example of data structures Actually X

So, I request examples for this:

  • A type of constructor is not a function which is not.
  • A type of constructor that is function but not applicable.
  • One type constructor which one is applicable, but not a monopoly.
  • One type of constructor which is a monad.

    I think there are so many examples of Monad everywhere, but a good example of Monad can complete the picture regarding previous examples.

    I look at the examples which will be similar to each other, only in the related aspects

    If someone in this sequence can arrange to hide an example of an arrow somewhere (what Is it between applicable and monad?), It would be great!

    is not a type of build or function: 

      newtype ta = t (a -> int)   
     You can do a contravariant functor out of it, but not a (covariant) functor. Try typing  fmap  and you will fail to note that the nutrient factor version has been reversed:  
      fmap :: Functor f = & gt; (A -> B) - & gt; F.A - & gt; FB Contramp :: Contrearian F = & gt; (A -> B) - & gt; F b - & gt; A type of constructor who is a fun doctor, but is not applicable:   
     I do not have a good example.  const , but ideally I want a solid non-monoide and I can not think of any of all types are basically numeric, enumeration, product, amount, or function when you Let's take it down. You can look down and I disagree about whether  Data.Void  a  Monoid ;  
      Example monoide data. Zero where mempty = undefined Since  _ | _  Haskel has a legal value, and in fact,  is the only legal value of the data, Mpand_ _ = undefined mconcat_ = undefined   
     .Void  , It meets the monoid rules. I'm unsure that  unsafe cos  has to do with it, because your program is not guaranteed that you do not violate Haskell words when using any  unsafe  function Please.  
     See Haskell wiki for an article on () or unsafe functions () below.  
     I wonder if such a type of constructor with a rich type system, such as Egda or Haskel, with various extensions.  
      A type constructor, which is an applicant but is not a monopoly:   
      newtype T a = T {multi-dimensional array A}   
     You can make an application out of it, with something like:  
      mkarray [(+10), (+100), id] & lt ; * & gt; Mkarray [1, 2] == mkarray [[11, 101, 1], [12, 102, 2]]   
     But if you make it a mond, then you have a dimension Can get mismatch I suspect that such examples are rare in practice.  
      A type of constructor is a mona:   
      []   
      arrows About:   
     Where is an arrow on this hierarchy, it is like asking whether the type of "red" is the type of mismatch of type:  
      FONTER :: * - & gt; * Application: * - & gt; * Monad :: * - & gt; *   
     But,  
      arrow :: * - & gt; * - & gt; *

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