View example sentences and word forms for Injective.
Injective
Injective meaning
Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic | Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module. | Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.
Example sentences (20)
Every injective module can be decomposed as direct sum of indecomposable injective modules.
Furthermore, a total function which is injective may be inverted to an injective partial function.
If there is a surjection from A to B that is not injective, then no surjection from A to B is injective.
Then each is an abelian category and we have an inclusion functor identifying the simple projective, simple injective and indecomposable projective-injective modules.
Thus divisible groups are injective modules in the category of abelian groups, and conversely, every injective abelian group is divisible ( Baer's criterion ).
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During the last week, Injective Protocol has traded down 3.5% against the U.S. dollar.
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Therefore, I think Injective is a bad investment that investors should steer clear of or dump at the current price point.
A bilipschitz function is the same thing as an injective Lipschitz function whose inverse function is also Lipschitz.
A function f that is not injective is sometimes called many-to-one.
A function f with a left inverse is necessarily injective.
Algebra In general, for an algebraic category C, an embedding between two C-algebraic structures X and Y is a C-morphism e:X→Y which is injective.
Although it is impossible to reverse a non-injective (and therefore information-losing) function, one can at least obtain a "quasi-inverse" of it, that is a multiple-valued function.
An embedding, or a smooth embedding, is defined to be an injective immersion which is an embedding in the topological sense mentioned above (i.e. homeomorphism onto its image).
A parameterization is generally required to have distinct parameter values give rise to distinct distributions, i.e. must hold (in other words, it must be injective ).
A partial function is said to be injective or surjective when the total function given by the restriction of the partial function to its domain of definition is.
A partial function may be both injective and surjective.
A set X is uncountable if and only if any of the following conditions holds: * There is no injective function from X to the set of natural numbers.
Because g is injective, we have that F ⊂ K, and so F is a null set.