# surjection

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## Examplessurjection's examples

• To be a surjection, for every y in the range, there must be at least one x in the domain that maps to y. This is true of this function as every value in the range is taken on by the function for at least one x. Really easy if you draw it out. — “Surjection function? Let f be the function from { a, b, c, d”,
• Encyclopedia article about surjection. Information about surjection in the Columbia Encyclopedia, Computer Desktop Encyclopedia, computing dictionary. — “surjection definition of surjection in the Free Online”, encyclopedia2
• A surjection or surjective function is a mapping (or function) between two sets, that is "onto" In other words, a surjection from set A to set B is a mapping such that every element in B has some element in A mapped to it. — “Surjection - Conservapedia”,
• Definition of surjection from Webster's New World College Dictionary. Meaning of surjection. Pronunciation of surjection. Definition of the word surjection. Origin of the word surjection. — “surjection - Definition of surjection at ”,
• in the fppf topology on S, there exists a ﬁnite ﬂat surjection Z X from an algebraic space Let f : R X be a proper surjection, with R/S an algebraic stack ﬂat and of ﬁnite type. — “A BOUNDEDNESS THEOREM FOR HOM-STACKS”, math.berkeley.edu
• surjection (plural surjections) (mathematics) A function of "many-to-one" mapping surjection if and only if, for every y in the codomain Y, there is at least one x in the. — “surjection - Wiktionary”,
• Surjection definition, onto function. See more. A function f : A -> B is surjective or onto or a surjection if f A = B. I.e. f can return any value in B. This means that its image is its codomain. — “Surjection | Define Surjection at ”,
• A function f: X Y is surjective if and only if for every y in the codomain Y there is at least one x in the domain X such that f(x) = y. A surjective function is called a surjection. Surjections are sometimes denoted by a two-headed rightwards arrow, as in f: X Y. — “Surjective function - Wikipedia, the free encyclopedia”,
• Surjection.svg‎ (SVG file, nominally 200 × 200 pixels, file size: 2 KB) User:Ksnortum/surjection. Usage on . surjection. Usage on . — “File:Surjection.svg - Wikiversity”,
• Click on the first link on a line below to go directly to a page where "surjection" is defined. surjection: American Heritage Dictionary of the English Language [home, info]. — “Definitions of surjection - OneLook Dictionary Search”,
• Surjection - Definition. In mathematics, a surjective function (or onto function or surjection) is a function with the property that all possible output values of the function are generated when the input ranges over all the values in the domain. — “Surjection - Definition”,
• Surjection.svg‎ (SVG file, nominally 200 × 200 pixels, file size: 2 and Functions. Usage on . surjection. Usage on . Función. — “File:Surjection.svg - Wikimedia Commons”,
• offers free online computer classes in various topics, MCSE, certifications, popular computer programs, programming languages, teaching, business, education, tutoring, and training. — “surjection Definition. Define surjection. What is surjection?”,
• Cantor's Lost Surjection (Revised) Revision 2.0: Dec 28, 2009 -- I've made the changes suggested by Chad Groft, and boris in their excellent comments. We call f surjective, or onto, or a surjection, if the first does not occur; that is, if for every y B we. — “The Programmer's Paradox: Cantor's Lost Surjection (Revised)”,
• That is, by restricting the codomain, any function induces a surjection. surjection and axiom of choice (Derivation) by CWoo. Log in to rate. — “PlanetMath: surjective”,
• surjection n. Mathematics A function that is onto. [ SUR- + (PRO)JECTION. — “surjection: Definition from ”,
• Definition of word from the Merriam-Webster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. Definition of SURJECTION : a mathematical function that is an onto mapping — compare bijection, injection 3. — “Surjection - Definition and More from the Free Merriam”, merriam-
• A function f : A -> B is surjective or onto or a surjection if f A = B. I.e. f can return any value in B. This means that its image x since if f were not a surjection there would be elements of B for. — “surjection from FOLDOC”,
• Definition of surjection from The American Heritage Science Dictionary. — “surjection - Science Definition”,
• Find dictionary definitions, audio pronunciations, and spellings for surjection in the free online American Heritage Dictionary on Yahoo! Education. — “surjection - Dictionary definition and pronunciation - Yahoo!”,
• Definition of surjection in the Online Dictionary. Meaning of surjection. Pronunciation of surjection. Translations of surjection. surjection synonyms, surjection antonyms. Information about surjection in the free online English dictionary and. — “surjection - definition of surjection by the Free Online”,

## Blogs & Forumblogs and forums about surjection

• “The Blog of Scott Aaronson " Discuss: Should children have the right Surjection is what Bourbaki did writing their textbooks. namit Says: Comment #5 March”
— Shtetl-Optimized " Blog Archive " Time for another contest,

• “Next message: [GAP Forum] some questions. Messages sorted by: [ date ] [ thread ] (but there would be no reason to ask unless one really needed surjection on the factors)”
— [GAP Forum] some questions, mail.gap-

• “Jim Fowler 1 face $\alpha$ of $\Delta^n$, we have $X_{\alpha} \neq \varnothing$, then $\pi_1(f_K) : \pi_1(X \tilde{\Delta} K) \to \pi_1(K)$ is a surjection”
— Jim Fowler - Blog - Category, math.ohio-state.edu

• “(b) If is a surjection, and is a homomorphism, then there exists such that. We can always find some free module such that we have a surjection”

• “I thought it might be fun to adopt a blog series that I first learned from CastingOutNines. Thm: (Cantor's Theorem) For every set , a surjection of onto the set , the power set of . For reference note that the power set”
— Natural Blogarithms,

• “BOB - Singapore's game forum for consoles, handhelds and PC. surjection. If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum”
— View Profile: surjection - BOB, .sg

• “ is the leading resource for game developers, featuring daily news updates, over 1500 featured articles and tutorials, and the most active game development forums anywhere!”
— ow my head - Discussion Forums,

• “For clarity, I should add that by 'countable', I mean that there exists a surjection from the natural numbers (or the natural numbers excluding zero) to the set. I look forward to hearing from interested forum members. Reply to this Message. Tim Little - 15 Nov 2010 11:53 GMT >”
— Countable sets which are impredicatively defined,