2007年10月14日日曜日

ทฤษฎีบทมูลฐานของพีชคณิต
ในคณิตศาสตร์ ทฤษฎีบทมูลฐานของพีชคณิต (fundamental theorem of algebra) กล่าวว่า พหุนามเชิงซ้อนที่ไม่ใช่ค่าคงที่มีรากเป็นจำนวนเชิงซ้อน หรือกล่าวอย่างเป็นทางการว่า ถ้า
p(z)=z^n+a_{n-1}z^{n-1}+cdots+a_0
เป็นพหุนามที่มีสัมประสิทธิ์ a0, a1, ldots, an − 1 เป็นจำนวนเชิงซ้อนแล้ว จะมีจำนวนเชิงซ้อน z0 ที่ทำให้ p(z0) = 0

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