Define a function d as the identity function over all elements over the manifold M, excepting a small neighbourhood ( topology ) H belonging to M.
22.
If the distribution of u is normal and the link function of v is the identity function, then hierarchical generalized linear model is the same as GLMM.
23.
That is, a null function is an identity function whose domain and codomain are both the state space " S " of the program, and for which:
24.
For example, the following OCaml code defines a polymorphic identity function that has a universally quantified type, which is printed by the interpreter on the second line:
25.
In set theory, where a function is defined as a particular kind of binary relation, the identity function is given by the identity relation, or " diagonal " of.
26.
Using the pointwise order on functions between posets, one may alternatively write the extensiveness property as id " P " d " cl, where id is the identity function.
27.
Similar notions of reduction and degree arise by replacing the continuous functions by any class of functions " F " which contains the identity function and is closed under composition.
28.
Under this definition, the first uncountable ordinal \ omega _ 1 can be enumerated by the identity function on \ omega _ 1 so that these two notions do "'not "'coincide.
29.
For example, \ lambda x . x represents the identity function, x \ mapsto x, and ( \ lambda x . x ) y represents the identity function applied to y.
30.
For example, \ lambda x . x represents the identity function, x \ mapsto x, and ( \ lambda x . x ) y represents the identity function applied to y.
