Order-embedding



A function f : D -> C is order-embedding iff for all x, y in D,
f(x) <= f(y) <=> x <= y. I.e. arguments and results compare similarly. A function which is order-embedding is monotonic and one-to-one and an injection. ("<=" is written in LaTeX as \sqsubseteq). (1995-02-03)

Tagged:

Read Also:

  • Ordering

    [awr-der] /ˈɔr dər/ noun 1. an authoritative direction or instruction; command; mandate. 2. a command of a court or judge. 3. a command or notice issued by a military organization or a military commander to troops, sailors, etc. 4. the disposition of things following one after another, as in space or time; succession or sequence: […]

  • Orderless

    [awr-der] /ˈɔr dər/ noun 1. an authoritative direction or instruction; command; mandate. 2. a command of a court or judge. 3. a command or notice issued by a military organization or a military commander to troops, sailors, etc. 4. the disposition of things following one after another, as in space or time; succession or sequence: […]



  • Orderlies

    [awr-der-lee] /ˈɔr dər li/ adjective 1. arranged or disposed in a neat, tidy manner or in a regular sequence: an orderly desk. 2. observant of or governed by system or method, as persons or the mind. 3. characterized by or observant of law, rule, or discipline; well-behaved; law-abiding: an orderly assemblage of citizens. 4. pertaining […]

  • Orderly

    [awr-der-lee] /ˈɔr dər li/ adjective 1. arranged or disposed in a neat, tidy manner or in a regular sequence: an orderly desk. 2. observant of or governed by system or method, as persons or the mind. 3. characterized by or observant of law, rule, or discipline; well-behaved; law-abiding: an orderly assemblage of citizens. 4. pertaining […]



Disclaimer: Order-embedding definition / meaning should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional. All content on this website is for informational purposes only.