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variation (Topic)

Variation and proportion are defined to be the relationship between two or more variables with regard to a constant of proportionality.

The traditional notation for direct proportionality is $ x \propto y$ or, if using regular equality notation, $ x = ky$.

Here, $ k$ denotes the constant of proportionality.

Similarly, the traditional notation for inverse proportionality is $ x \propto 1/y$ or, with regular equality, $ x = k/y$.

For direct proportionality, to find the value of an unknown $ x$ or $ y$, you may use the formula: $ y_{1}/x_{1} = y_{2}/x_{2}$

Similarly, for inverse proportion it would be: $ x_{1}/y_{1} = y_{2}/x_{2}$



"variation" is owned by drini. [ full author list (2) | owner history (2) ]
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See Also: homogeneous equation, graph of equation $\,xy =$ constant

Other names:  Proportion
Also defines:  Relationships between two or more variables.

Attachments:
proportion equation (Topic) by pahio
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Cross-references: inverse, equality, regular, variables
There are 60 references to this entry.

This is version 4 of variation, born on 2004-12-14, modified 2005-01-29.
Object id is 6579, canonical name is Variation.
Accessed 8088 times total.

Classification:
AMS MSC08C99 (General algebraic systems :: Other classes of algebras :: Miscellaneous)

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Search machine by pahio on 2004-12-14 16:12:45

The search machine of PM (i.e. Google) does not find all searched words, e.e. "inverse machine" although there is such PM entry and two references to this. What is the cause?
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