[71] A symmetric function of several quantities is one which conserves the same value and the same sign after any exchange made among its quantities.
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Bradley, R.E., Sandifer, C.E. (2009). On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions.. In: Cauchy’s Cours d’analyse. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0549-9_3
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