| Revision as of 01:13, 27 August 2012 editClueBot NG (talk | contribs)Bots, Pending changes reviewers, Rollbackers6,440,255 editsm Reverting possible vandalism by 74.222.199.55 to version by Melcombe. False positive? Report it. Thanks, ClueBot NG. (1184348) (Bot)← Previous edit | Revision as of 21:53, 5 December 2012 edit undoCplive7 (talk | contribs)3 edits A description of a very common colloquial distortion of a mathematical term was replaced by a statement of the strict mathematical definition. Perhaps the community can come up with a way to re-incorporate a description of the colloquialism also.Next edit → | ||
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| A '''direct relationship''' is mathematically defined as a direct proportion<ref>Weisstein, Eric W. "Directly Proportional." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/DirectlyProportional.html</ref> between two mathematical variables. It means that one variable is ] to the other. The two variables x and y are directly proportional if and only if y=k·x for some constant k. | |||
| In ] and ], a '''positive''' or '''direct relationship''' is a relationship between two ] in which change in one variable is associated with a change in the other variable in the same direction. For example all ] relationships with a ] ] are direct relationships. Such direct relationships are very widely used in ] and ]. | |||
| In a direct relationship, as one variable, say '''x''', increases, the other variable, say '''y''', also increases, and if one variable decreases, the other variable decreases. The formula for a direct linear relation is | |||
| :''y'' = ''a'' + ''kx'', where '''k''' is positive ] and '''a''' is a constant. | |||
| See for example ], where two temperature scales are typically in a direct and linear relation. | |||
| ==See also== | ==See also== | ||
| *Contrast with ]. | *Contrast with ]. | ||
| == References == | |||
| <references /> | |||
| {{unreferenced|date=February 2012}} | {{unreferenced|date=February 2012}} | ||
Revision as of 21:53, 5 December 2012
A direct relationship is mathematically defined as a direct proportion between two mathematical variables. It means that one variable is directly proportional to the other. The two variables x and y are directly proportional if and only if y=k·x for some constant k.
See also
- Contrast with inverse relationship.
References
- Weisstein, Eric W. "Directly Proportional." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/DirectlyProportional.html
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