22 Übersetzungen
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Anwendungsbeispiele Englisch
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- The type coercion from a type to itself "coerce'T" → "T" is the identity function "id"T.
- In this case the monomorphism is 2"n" ↦ 2"n" and although it looks like an identity function, it is not onto (that is, not an epimorphism) because the odd numbers don't belong to 2Z.
- However, the image of a bounded subset of an arbitrary metric space under a uniformly continuous function need not be bounded: as a counterexample, consider the identity function from the integers endowed with the discrete metric to the integers endowed with the usual Euclidean metric.
- An "isomorphism" between two Boolean algebras "A" and "B" is a homomorphism "f" : "A" → "B" with an inverse homomorphism, that is, a homomorphism "g" : "B" → "A" such that the composition "g" ∘ "f": "A" → "A" is the identity function on "A", and the composition "f" ∘ "g": "B" → "B" is the identity function on "B".
- A particular case is GF(2), where addition is exclusive OR (XOR) and multiplication is AND. Since the only invertible element is 1, division is the identity function.
- The axioms of a category are satisfied by Set because composition of functions is associative, and because every set "X" has an identity function id"X" : "X" → "X" which serves as identity element for function composition.
- In the case of a die, the assignment of a number to a certain elementary events can be done using the identity function.
- The identity function on [...] is clearly an injective function as well as a surjective function, so it is bijective.
- can be enumerated by the identity function on [...] so that these two notions do not coincide.
- The identity function [...] on [...] is an example of a sublinear function that is not a seminorm.
- For instance, taking the identity function [...] over the unit interval shows that the geometric mean of the positive numbers between 0 and 1 is equal to [...].
- There is an "identity" [...] for every object [...] (set, algebraic structure or object), which is called also an identity function in the function case.
- -variation for which the weight function is the identity function: therefore an integrable function [...] is said to be a weighted "BV" function (of weight [...]) if and only if its [...] -variation is finite.
© dict.cc English-German dictionary 2024
Enthält Übersetzungen von der TU Chemnitz sowie aus Mr Honey's Business Dictionary (nur Englisch/Deutsch).
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