symmetric polynomial

Noun

Meaning

symmetric polynomial (plural symmetric polynomials)

English Wikipedia has an article on:symmetric polynomialWikipedia
(algebra) A polynomial which remains unchanged if its variables are permuted




x
+
y
+
z


{\displaystyle x+y+z}






x
y
z


{\displaystyle xyz}






2

x

2


+
2

y

2


+
2

z

2




{\displaystyle 2x^{2}+2y^{2}+2z^{2}}

, etc.
An example of a non-symmetric polynomial is



x
+
2
y


{\displaystyle x+2y}

: if we interchange



x


{\displaystyle x}

and



y


{\displaystyle y}

, this polynomial changes to



2
x
+
y


{\displaystyle 2x+y}

.

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