preposition Date: 1581 to a position on, in or into a state of awareness about, 3.
Longman Dictionary of Contemporary English Oxford Advanced Learner's English Dictionary Merriam-Webster's Collegiate English vocabulary ˈwən adjective Etymology: Middle English on, an, from Old English ān akin to Old High German ein one, Latin ... Random House Webster's Unabridged English Dictionary being or amounting to a single unit or individual or entire thing, item, or object rather ... Webster's New International English Dictionary |wən adjective Etymology: Middle English oon, on, from Old English ān akin to Old High German ein one, Old ... More meanings of this word and English-Russian, Russian-English translations for the word «ONE-TO-ONE AND ONTO» in dictionaries. => f Y that is range is not a proper subset of co-domain. Mapping (when a function is represented using Venn-diagrams then it is called mapping), defined between sets X and Y such that Y has at least one element 'y' which is not the f-image of X are called into mappings. One-to-one mapping is called injection (or injective). Graphically, if a line parallel to x axis cuts the graph of f(x) at more than one point then f(x) is many-to-one function and if a line parallel to y-axis cuts the graph at more than one place, then it is not a function. While x → x 2, x ε R is many-to-one function. no two elements of A have the same image in B), then f is said to be one-one function. If for each x ε A there exist only one image y ε B and each y ε B has a unique pre-image x ε A (i.e. Consider the function x → f(x) = y with the domain A and co-domain B.