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The physical meaning of imaginary number J
2022-07-07 10:06:00 【Cloth scholar Python】
imaginary number j j j When solving a system of cubic equations in one variable , To give j j j The square of is equal to − 1 -1 −1 Introduced by a solution , but j j j The meaning of
What is it? It's not clear at all .
imaginary number j j j The physical meaning of : One The plural
And j j j Multiplication is equivalent to the vector corresponding to this complex number in Complex plane
On Counter clockwise rotation
90 ˚ 90˚ 90˚. After figuring this out , j 2 = − 1 j^ 2 =-1 j2=−1 That's a good explanation , As shown in the figure :
j 2 = 1 ∗ j ∗ j j^2=1*j*j j2=1∗j∗j
That is to say 1 + 0 j 1+0j 1+0j The vector of this complex plane , Rotate counterclockwise twice , That is to say 1 ∗ j ∗ j 1*j*j 1∗j∗j, So the result is − 1 -1 −1
In one sentence : The vector of the complex plane rotates counterclockwise $90^o$
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