| 词条 | Complex conjugate line |
| 释义 |
In complex geometry, the complex conjugate line of a straight line is the line that it becomes by taking the complex conjugate of each point on this line.[1] This is the same as taking the complex conjugates of the coefficients of this line. So if the equation of D is D : ax + by + cz = 0, then the equation of its conjugate D* is D* : a*x + b*y + c*z = 0. The conjugate of a real line is the line itself. The intersection point of two conjugated lines is always real.[2] References1. ^{{citation|title=Linear Algebra and Geometry|first1=Igor R.|last1=Shafarevich|first2=Alexey|last2=Remizov|first3=David P.|last3=Kramer|first4=Lena|last4=Nekludova|publisher=Springer|year=2012|isbn=9783642309946|page=413|url=https://books.google.com/books?id=6Pp2-DTOKWIC&pg=PA413}}. {{DEFAULTSORT:Conjugated Line}}2. ^{{citation|title=A Mathematician Grappling With His Century|first=Laurent|last=Schwartz|publisher=Springer|year=2001|isbn=9783764360528|page=52|url=https://books.google.com/books?id=xVrC7ek7iRwC&pg=PA52}}. 1 : Complex numbers |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。