Newton's identities

Summary

Newton's identities is a theorem^[1]. It ranks in the top 10% of theorem entities by monthly Wikipedia readership (208 views/month).^[2]

Key Facts

• Newton's identities's instance of is recorded as theorem^[3].
• Newton's identities's instance of is recorded as identity^[4].
• Isaac Newton is named after Newton's identities^[5].
• Albert Girard is named after Newton's identities^[6].
• Newton's identities's Freebase ID is recorded as /m/07g6rh^[7].
• Newton's identities's proved by is recorded as Isaac Newton^[8].
• Newton's identities's defining formula is recorded as \forall n,k\in\mathbb Z^+\colon ke_k(x_1,\dots,x_n)=\sum_{i=1}^k(-1)^{i-1}e_{k-i}(x_1,\dots,x_n)p_i(x_1,\dots,x_n)^[9].
• Newton's identities's MathWorld ID is recorded as Newton-GirardFormulas^[10].
• Newton's identities's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• Newton's identities's Microsoft Academic ID is recorded as 130254846^[12].
• Newton's identities's in defining formula is recorded as \mathbb Z^+^[13].
• Newton's identities's in defining formula is recorded as e_i(x_1,\dots,x_n)^[14].
• Newton's identities's in defining formula is recorded as p_i(x_1,\dots,x_n)^[15].

Why It Matters

Newton's identities ranks in the top 10% of theorem entities by monthly Wikipedia readership (208 views/month).^[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.^[16] It is known by 7 alternative names across languages and contexts.^[17]