homogeneous equation
where the left hand is a homogeneous polynomial of degree in and , determines the ratio between the indeterminates. One can be persuaded of this by dividing both of the equation by . Then the left depends only on (which may be denoted e.g. by ).
Examples
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The equation determines that .
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The equation determines that or (these values are obtained by first dividing both of the equation by and then solving the equation ).
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The equation determines that or (first divide the equation by and then solve ).
Title | homogeneous equation |
Canonical name | HomogeneousEquation |
Date of creation | 2013-03-22 15:14:41 |
Last modified on | 2013-03-22 15:14:41 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 7 |
Author | pahio (2872) |
Entry type | Topic |
Classification | msc 26C05 |
Classification | msc 26B35 |
Classification | msc 00A99 |
Related topic | Variation |
Related topic | HomogeneousPolynomial |
Related topic | Equation |
Related topic | RegularDecagonInscribedInCircle |