Definitions for proportionalprəˈpɔr ʃə nl, -ˈpoʊr-

This page provides all possible meanings and translations of the word proportional

Princeton's WordNet

  1. proportional(adj)

    one of the quantities in a mathematical proportion

  2. proportional, relative(adj)

    properly related in size or degree or other measurable characteristics; usually followed by `to'

    "the punishment ought to be proportional to the crime"; "earnings relative to production"

  3. proportional(adj)

    having a constant ratio

Wiktionary

  1. proportional(Adjective)

    At a constant ratio (to). Two magnitudes (numbers) are said to be proportional if the second varies in a direct relation arithmetically to the first.

    Quotation

  2. proportional(Adjective)

    In proportion (to), proportionate. More common in US than UK.

    Quotation

Webster Dictionary

  1. Proportional(adj)

    having a due proportion, or comparative relation; being in suitable proportion or degree; as, the parts of an edifice are proportional

  2. Proportional(adj)

    relating to, or securing, proportion

  3. Proportional(adj)

    constituting a proportion; having the same, or a constant, ratio; as, proportional quantities; momentum is proportional to quantity of matter

  4. Proportional(noun)

    any number or quantity in a proportion; as, a mean proportional

  5. Proportional(noun)

    the combining weight or equivalent of an element

  6. Origin: [L. proportionalis: cf. F. proportionnel.]

Freebase

  1. Proportional

    Proportional division or simple fair division is the original and simplest problem in fair division. Fair division problems are also called cake-cutting problems. A proportional division of a cake between people would ensure each of them got at least of the cake by their own valuation. The cake can have an irregular structure, for instance a fruit-cake with icing, and the recipients may value the different parts differently. There is no requirement for a division to be envy-free. There are two main types of solution studied: discrete procedures require one person at a time to divide the resource, moving knife ones have one or more knives move over the resource and people can choose when to stop them. The problem generalizes directly to other resources that can be split easily without losing value. The methods adapt easily to similar problems in chore division. Proportional division problems also include dividing a resource where each recipient is entitled to a different proportion. Fair division of indivisible good is however a much harder problem.


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