इंजेक्टिव इसके अंग्रेजी अर्थ का उदाहरण

If , are rooted trees with vertices labeled in , we say that is inf-embeddable in and write if there is an injective map from the vertices of to the vertices of such that.

Then the restriction map Hp,q(X) → Hp,q(Y) is an isomorphism if and is injective if p + q n "minus; 1.

The order of the image is 2 if r is 0 or 1 mod 8 and positive (so in this case the J-homomorphism is injective).

Take injective resolutions J^0 \to J^1 \to \cdots and K^0 \to K^1 \to \cdots of the first and the third nonzero terms.

Note that if then one obtains a factor zero, so in this case there are no injective functions at all; this is just a restatement of the pigeonhole principle.

Note that in all the "injective" cases (i.

(“the successor function is injective”).

Hence, we found an injective resolution of the complex:.

Let \alpha \{\beta \in \textrm{Ord} \mid \exists i: \beta \hookrightarrow X\} be the class of all ordinal numbers β for which an injective function exists from β into X.

For example, if F(-) is the equivalence functor from R-Mod to S-Mod, then the R module M has any of the following properties if and only if the S module F(M) does: injective, projective, flat, faithful, simple, semisimple, finitely generated, finitely presented, Artinian, and Noetherian.

The requirement of injective "fnof; means each element of N must be a group in itself, which leaves at most one valid grouping and therefore gives a rather uninteresting counting problem.

When there are no injective functions , and if there are no surjective functions .

The preceding result can be generalized: a Banach space X with a basis has the approximation property, so the space K(X) of compact operators on X is isometrically isomorphic to the injective tensor product.

इंजेक्टिव हिंदी उपयोग और उदाहरण

""पानी डालने वाले कुओं (वाटर इंजेक्शन वेल्स) के मामले में प्रति दिन पानी के बैरलों (बीडब्ल्यूडी) की इंजेक्टिविटी दर का संदर्भ लेना आम बात है।

एक से एक समानता शब्द को एक से एक कार्य (उर्फ इंजेक्टिव फंक्शन ) के साथ भ्रॉन्ति नहीं होना चाहिए (आंकड़े देखें)।

गणितीय शब्दों में,  एक बायजेक्टिव फंक्शन (द्विभाजित कार्य ) f: X → Y एक-से-एक (इंजेक्टिव) और पर सरजेकटिव है ।