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Revision difference : homogeneous polynomial |
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A polynomial $P(x_1, \cdots, x_n)$ is called homogeneous if
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A polynomial $P(x_1, \cdots, x_n)$ is called homogenous if
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| $P(cx_1, \cdots, cx_n) = cP(x_1, \cdots, x_n)$ for all constants $c$. |
$P(cx_1, \cdots, cx_n) = cP(x_1, \cdots, x_n)$ for all constants $c$. |
| An equivalent definition is that all terms of the polynomial have the same degree. |
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| As an important example of homogeneous polynomials one can mention the symmetric polynomials. |
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