Function and Dependence

noun

• Mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function. ()
  • synonyms: mathematical function, single-valued function, map, mapping
• What something is used for.
  • usage: "the function of an auger is to bore holes"; "ballet is beautiful but what use is it"
  • synonyms: purpose, role, use
• The actions and activities assigned to or required or expected of a person or group.
  • usage: "the function of a teacher"; "the government must do its part"; "play its role"
  • synonyms: office, part, role
• A relation such that one thing is dependent on another.
  • usage: "height is a function of age"; "price is a function of supply and demand"
• A formal or official social gathering or ceremony.
  • usage: "it was a black-tie function"
• A vaguely specified social event.
  • usage: "the party was quite an affair"; "an occasion arranged to honor the president"; "a seemingly endless round of social functions"
  • synonyms: affair, occasion, social occasion, social function
• A set sequence of steps, part of larger computer program.
  • synonyms: routine, subroutine, subprogram, procedure

verb

• Perform as expected when applied.
  • usage: "The washing machine won't go unless it's plugged in"; "Does this old car still run well"; "This old radio doesn't work anymore"
  • synonyms: work, operate, go, run
• Serve a purpose, role, or function.
  • usage: "The tree stump serves as a table"; "The female students served as a control group"; "This table would serve very well"; "His freedom served him well"; "The table functions as a desk"
  • synonyms: serve
• Perform duties attached to a particular office or place or function.
  • usage: "His wife officiated as his private secretary"
  • synonyms: officiate

• (v.i.) Alternative of Functionate.
• (n.) The course of action which peculiarly pertains to any public officer in church or state; the activity appropriate to any business or profession.
• (n.) A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
• (n.) The act of executing or performing any duty, office or calling; per formance.
• (n.) The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
• (n.) The natural or assigned action of any power or faculty, as of the soul or of the intellect; the exertion of an energy of some determinate kind.
• (n.) A public or social ceremony or gathering; a festivity or entertainment, especially one somewhat formal.
• (n.) A religious ceremony, especially one particularly impressive and elaborate.

noun

• The state of relying on or being controlled by someone or something else.
  • synonyms: dependance, dependency
• Being abnormally tolerant to and dependent on something that is psychologically or physically habit-forming (especially alcohol or narcotic drugs. ).
  • synonyms: addiction, dependance, dependency, habituation

• (n.) Subjection to the direction or disposal of another; inability to help or provide for one's self.
• (n.) That on which one depends or relies; as, he was her sole dependence.
• (n.) A resting with confidence; reliance; trust.
• (n.) The state of being influenced and determined by something; subjection (as of an effect to its cause).
• (n.) The act or state of depending; state of being dependent; a hanging down or from; suspension from a support.
• (n.) Mutu/// /onnection and support; concatenation; systematic ///er relation.
• (n.) A matter depending or in suspense, and still to be determined; ground of controversy or quarrel.
• (n.) That which depends; anything dependent or suspended; anything attached a subordinate to or contingent on, something else.

Dependence is a relationship between two different experimental results in which the first result does not directly influence the chances of the second result occurring, but instead, the two results are indirectly related because they are subject to influences from a common outside factor.