RootSum
Beschikbaar
Sum of form[r] over the roots r of a polynomial; numeric-coefficient polynomial f with polynomial form gives an exact power-sum value via Newton identities; other shapes stay symbolic
Vormen RootSum[f, form]
Geverifieerde voorbeelden N[RootSum[# ^ 5 - 3# - 7&, Sin]]
→ 0.29218763022095307 D[RootSum[# ^ 5 + a # + 1&, Exp[#]&], a]
→ D[Exp[#1] & , a]*Derivative[0, 1][RootSum][#1^5 + a*#1 + 1 & , Exp[#1] & ] + D[#1^5 + a*#1 + 1 & , a]*Derivative[1, 0][RootSum][#1^5 + a*#1 + 1 & , Exp[#1] & ] D[RootSum[# ^ 5 + 11# + 1&, Exp[a #]&], a]
→ D[Exp[a*#1] & , a]*Derivative[0, 1][RootSum][#1^5 + 11*#1 + 1 & , Exp[a*#1] & ] + D[#1^5 + 11*#1 + 1 & , a]*Derivative[1, 0][RootSum][#1^5 + 11*#1 + 1 & , Exp[a*#1] & ] ← Roots RootTree → Alle 6300 functies ·
Gebruik dit vanuit een MCP-client