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Mathematics/Algebra2

대수학2 복소수 2021 04 17

www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex

 

Complex numbers | Algebra 2 | Math | Khan Academy

Complex numbers are built on the idea that we can define the number i (called "the imaginary unit") to be the principal square root of -1, or a solution to the equation x²=-1. From this starting point evolves a rich and exciting world of the number system

www.khanacademy.org

 

In this video, I want to introduce you to the number i,which is sometimes called the imaginary, iamginary unit

 

What you are going to see here, and it might be a little bit difficult, to fully appreciate, is that its a more bizzare number than some of the other wacky numbers we learn in mathmatics like pi, or e. And its more bizzare because

it doesn't have a trangible value in the sense that we normally, or are used to defining numbers. 

 

"i" is defined as the number whose square is equal to negative i.

즉, 중학,고등학교 때 공부했다 시피 i의 제곱은 -1 , 그리고 i의 4제곱은 1이겠고

 

 

 

 

 

"i" as being equal to the principle square root of negative one. I want to just point out to you that this is not wrong,

it might make sense to you, you know something squared is negative one, then maybe its the principle square root of negative one. And so these seem to be almost the same statement,

 

but I just want to amke you a little bit careful, when you do this, some people will even go so far as to say this is worng, 

 

 

 

how taking an arbitrarily high power of "i", how you can figure out what that's going to be.

 

추가로 강의를 다보고 

이 복소수를 게임 프로그래밍 분야에 어디에 쓸까? 하고 궁금해서 검색해봤더니

 

사원수 (Quaternion)에서 회전을 나타낼때 쓰는것 같다. 자세한 링크는 아래에

 

m.blog.naver.com/PostView.nhn?blogId=devdeepblue&logNo=220071358970&proxyReferer=https:%2F%2Fwww.google.com%2F

 

사원수(Quaternion) 이야기 (1)

0. 들어가기 앞서 Quaternion(사원수)는 컴퓨터 그래픽스 분야에서 꽤 자주 언급되는 이론입니다. 하지만 ...

blog.naver.com

 

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