Complexes Flashcards

1
Q

_

Z =

A

a - bi

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2
Q

z =

A

a + bi

r( cos(x) + i sin(x) )

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3
Q

e^ix =

A

cos(x) + i sin(x)

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4
Q

r =

A

IzI = sqrt (a^2 + b^2)

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5
Q

z z =

1 2

A
r r ( cos(x+y) + i sin(x+y) )
 1 2
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6
Q

Z1 / Z2 =

A

R1 / R2 ( cos(x-y) + i sin(x-y) )

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7
Q

1/z =

A

1/r (cos(x) + i sin(x) )

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8
Q

Z^n =

A

R^n ( cos(nx) + i sin (nx) )

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9
Q

_____

z + n =

A

z - n

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