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(nova stranica: {{lowercase}} {{HNM2 pojam |naziv=injekcija |naziv2=injekcija |Struna_ID=30049 |obrađivač=Magdalena Igaly |faza_obrade=zaključaj naziv |definicija=funkcija koja različitim...) |
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|definicija=Let $f$ be a function defined on a set $A$ and taking values in a set $B$. Then $f$ is said to be an injection if, whenever $f(x)=f(y)$, it must be the case that $x=y$. | |definicija=Let $f$ be a function defined on a set $A$ and taking values in a set $B$. Then $f$ is said to be an injection if, whenever $f(x)=f(y)$, it must be the case that $x=y$. | ||
|cite=Insall, Matt; Rowland, Todd; and Weisstein, Eric W. "Embedding." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Embedding.html | |cite=Insall, Matt; Rowland, Todd; and Weisstein, Eric W. "Embedding." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Embedding.html | ||
| − | |napomena=Equivalently, $x \neq y$ implies $f(x) \ | + | |napomena=Equivalently, $x \neq y$ implies $f(x)\neq f(y)$. In other words, $f$ is an injection if it maps distinct objects to distinct objects. |
|see_also=Campbell's Theorem, Embeddable Knot, Embedded Surface, Extrinsic Curvature, Field, Graph Embedding, Hyperboloid Embedding, Injection, Manifold, Nash's Embedding Theorem, Sphere Embedding, Submanifold | |see_also=Campbell's Theorem, Embeddable Knot, Embedded Surface, Extrinsic Curvature, Field, Graph Embedding, Hyperboloid Embedding, Injection, Manifold, Nash's Embedding Theorem, Sphere Embedding, Submanifold | ||
|primjeri= | |primjeri= | ||
}} | }} | ||
Trenutačna izmjena od 16:59, 22. travnja 2016.
Definicija: funkcija koja različitim elementima domene pridružuje različite elemente kodomene
Dopušteni nazivi: injektivna funkcija
Povezani pojmovi: surjekcija, bijekcija
Engleske istovrijednice: injective, injection
Struna ID: 30049
Obrađivač: Magdalena Igaly
Faza obrade: zaključaj naziv
Vrsta riječi: imenica Rod: ženski Broj: jednina
Cilj projekta "Hrvatsko nazivlje u matematici" je na jednom mjestu prikupiti i obraditi sve hrvatske nazive koji na izravan ili neizravan način imaju veze s matematikom. Ako želite na bilo koji način doprinijeti ostvarenju ciljeva ovog projekta, molim javite se voditelju projekta na adresu goran.igaly@math.hr
WMW naziv: injection
WMW klasifikacija: Calculus and Analysis > Functions >
WMW definicija: Let \(f\) be a function defined on a set \(A\) and taking values in a set \(B\). Then \(f\) is said to be an injection if, whenever \(f(x)=f(y)\), it must be the case that \(x=y\).
WMW napomena: Equivalently, \(x \neq y\) implies \(f(x)\neq f(y)\). In other words, \(f\) is an injection if it maps distinct objects to distinct objects.
WMW See also: Campbell's Theorem, Embeddable Knot, Embedded Surface, Extrinsic Curvature, Field, Graph Embedding, Hyperboloid Embedding, Injection, Manifold, Nash's Embedding Theorem, Sphere Embedding, Submanifold
Izvor: Insall, Matt; Rowland, Todd; and Weisstein, Eric W. "Embedding." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Embedding.html
Struna ID: 30049