Complex nhamba modulus z: tsananguro, zvivakwa

Muchinyorwa chino, isu tichatarisa kuti iyo modulus yenhamba yakaoma chii, uye zvakare kupa iyo huru midziyo.

Kusarudza modulus yenhamba yakaoma

Ngatitii tine nhamba yakaomarara z, inofambirana neshoko rinoti:

z = x + y ⋅ i

• x и y idzo nhamba chaidzo;
• i - imaginary unit (i² =-1);
• x ndicho chikamu chaicho;
• y ⋅ i ndicho chikamu chekufungidzira.

Iyo modulus yenhamba yakaoma z yakaenzana nearithmetic square root yehuwandu hwemakona ezvikamu chaizvo uye zvekufungidzira zvenhamba iyoyo.

Zvimiro zvemodulus yenhamba yakaoma

1. Iyo modulus inogara yakakura kupfuura kana kuenzana ne zero.
2. Iyo dura retsanangudzo yemodule ndiyo yose yakaoma ndege.
3. Nokuti mamiriro eCauchy-Riemann haasati asangana (hukama hunobatanidza zvikamu zvechokwadi uye zvekufungidzira), module haina kusiyaniswa chero ipi zvayo (sebasa rine shanduko yakaoma).