Complex lamba modulus z: ma'anar, kaddarorin

A cikin wannan ɗaba'ar, za mu yi la'akari da menene ma'auni na hadadden lamba, kuma mu ba da mahimman kaddarorinsa.

Ƙayyade ma'auni na hadadden lamba

A ce muna da hadadden lamba z, wanda yayi daidai da maganar:

z = x + y ⋅ i

• x и y lambobi ne na gaske;
• i - naúrar hasashe (i² = -1);
• x shine ainihin sashi;
• yi ⋅ i shine bangaren tunanin.

Module na hadadden lamba z daidai da tushen lissafin murabba'in jimillar murabba'ai na ainihin da tunanin sassa na wannan lambar.

Halayen ma'auni na hadadden lamba

1. Modules koyaushe yana girma ko daidai da sifili.
2. Yankin ma'anar tsarin shine gaba ɗaya hadadden jirgin sama.
3. Saboda sharuɗɗan Cauchy-Riemann ba su cika ba (dangantakar da ke haɗa ainihin sassan da ke tattare da tunanin), ba a bambanta tsarin ba a kowane lokaci (a matsayin aiki tare da maɗaukaki mai rikitarwa).