Γιώργος Μαυρίδης-Μιγαδικοί αριθμοί
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nȍȨȦ ȰȪȵȦȨ�ȩȨȮ�ȚȯȢȞȪȷȦȞȭȞ�ȭȷȪȚ� ȜȢȚ�ȦȚ ȣȚȭȚȦȨȗȬȞȭȞ�ȭȢȫ�țȚȬȢȣȖȫ�ȖȦȦȨȢȞȫ� ȣȚȢ�ȦȚ�ȞȥțȚȡȶȦȞȭȞ�ȬȭȨȦ�ȭȪȵȩȨ�ȬȣȖȱȠȫ� ȣȚȢ ȞȪȜȚȬȘȚȫ��ȡȚ�ȭȨȦ�ȣȞȪȝȘȬȞȭȞ� ȩȨȤȤȚȩȤȕȬȢȨ�ȚȪȜȵȭȞȪȚ.»
ȁȞȵȝȲȪȨȫ�Ȇ��ȃȚȟȚȦȭȟȗȫ
ƲƳƱƭƱƥƱƴ
ĬĮ� ȝʌȠȡȠȪıĮȞ� IJĮ� ȂĮșȘȝĮIJȚțȐ� ȞĮ� ĮʌȠIJİȜȑıȠȣȞ� ȝȑȡȠȢ� IJȠȣȜȐȤȚıIJȠȞ� IJȘȢ�ĮʌȐȞIJȘıȘȢ�ıIJȠȞ�ȚįİȫįȘ�țȩıȝȠ�IJȠȣ��ȥȑȝĮIJȠȢ�ȩʌȠȣ�IJĮ�ʌȐȞIJĮ�įȘȜȫȞȠȣȞ�țĮȚ�įȘȜȫ�ȞȠȞIJĮȚ�ȦȢ�ĮȜȘșȚȞȐ��
ĬĮ�ȝʌȠȡȠȪıĮȞ� IJĮ�ȂĮșȘȝĮIJȚțȐ�ȞĮ�ĮʌȠIJİȜȑıȠȣȞ� IJȘȞ�țĮȪıȚȝȘ�ȪȜȘ�Ș�ȠʌȠȓĮ�șĮ�İȞİȡȖȠʌȠȚȠȪıİ�IJȠȞ�ȞĮȡțȦȝȑȞȠ�ȖȓȖĮȞIJĮ�IJȘȢ�ıȣȞİȓįȘıȘȢ��
ĬĮ� ȝʌȠȡȠȪıĮȞ� IJĮ� ȂĮșȘȝĮIJȚțȐ�� ȦȢ� ȖȜȫııĮ� IJȘȢ� ȜȠȖȚțȒȢ�� ȞĮ� ıȣȞįȡȐȝȠȣȞ�ĮʌȠijĮıȚıIJȚțȐ�IJȚȢ�ıIJȡȚȝȦȖȝȑȞİȢ�įȣȞȐȝİȚȢ�IJȘȢ�ıȪȞİıȘȢ��IJȘȢ�IJĮʌİȚȞȩIJȘIJĮȢ��IJȘȢ�ȖȞȫ�ıȘȢ�țĮȚ�IJȘȢ�ĮȜȒșİȚĮȢ��Įʌȩ�IJĮ�ȝĮȞȚĮıȝȑȞĮ�ıIJȓijȘ�IJȠȣ�©șȑȜȦª��IJȠȣ�©ijĮȓȞȠȝĮȚª��IJȠȣ�©ȑȤȦª��IJȠȣ�©ȖȡȒȖȠȡĮª��IJȠȣ�©țĮIJĮȞĮȜȫȞȦª��IJȠȣ�©İȞIJȣʌȦıȚĮțȠȪª��IJȠȣ�©İȖȫª�
ȅ�țĮșȑȞĮȢ�Įʌ¶�ȩıȠȣȢ�ȕȡȓıțȠȣȞ�ȗȦȠȖȩȞȠ�IJȠ�ȞĮ�ĮıȤȠȜȠȪȞIJĮȚ�ıİ�ȕȐșȠȢ�ȝİ�IJȘ�ȗȦȒ��șĮ�ȑįȚȞİ�IJȘ�įȚțȒ�IJȠȣ�ĮʌȐȞIJȘıȘ�
ǻȪıțȠȜĮ�ʌȐȞIJȦȢ�șĮ�ȣʌȒȡȤĮȞ�įȚĮijȦȞȓİȢ��ıIJȠ�ȩIJȚ�șĮ�ȒIJĮȞ��ĮįȪȞĮIJȠȞ��ĮțȩȝȘ�țĮȚ�ȖȚĮ�IJĮ�ȂĮșȘȝĮIJȚțȐ�ȞĮ�İʌȚIJİȜȑıȠȣȞ�ȑȡȖȠ�ıİ�țȐʌȠȚȠ�Įʌȩ�IJĮ�ʌȡȠȘȖȠȪȝİȞĮ��ĮȞ�țȐIJȚ�IJĮ�ĮʌȑțȠʌIJİ�Įʌȩ�IJȘȞ�ȑȞȞȠȚĮ�IJȡȠijȩ�IJȠȣȢ��Įʌȩ�IJȘȞ�ȑȞȞȠȚĮ�IJȠȣ�ĮʌİȓȡȠȣ�
ǻİȞ�ȞȠȝȓȗȦ�ȩIJȚ�ȤȡİȚȐȗİIJĮȚ�Ș�ıȣȞįȡȠȝȒ�IJȘȢ�țȕĮȞIJȠȝȘȤĮȞȚțȒȢ�� IJȘȢ�İȟİȜȚțIJȚ�țȒȢ�ȕȚȠȜȠȖȓĮȢ�Ȓ�IJȘȢ�șİȦȡȓĮȢ�IJȠȣ�ȤȐȠȣȢ��ȫıIJİ�ȞĮ ȠȡȚıIJİȓ�ȦȢ ȜȠȖȚțȒ�ĮȞĮțȠȜȠȣșȓĮ���Ș�ıȪȞįİıȘ�IJȠȣ�ĮʌİȓȡȠȣ�IJȦȞ�įȣȞĮIJȫȞ�ʌİȡȚʌIJȫıİȦȞ��ȝİ�IJȘȞ�IJȣȤȠįȚȦțIJȚțȠȪ�IJȪʌȠȣ��İʌȚȜȠȖȒ�țȐʌȠȚȦȞ�Įʌȩ�ĮȣIJȑȢ�
Ȃ¶�ĮȣIJȒ� ĮțȡȚȕȫȢ� IJȘȞ� ʌİʌȠȓșȘıȘ� ĮʌȑijȣȖĮ� İʌȚȝİȜȫȢ�� țȐșİ� ȠȜȠțȜȘȡȦIJȚțȠȪ�IJȪʌȠȣ�ȠȝĮįȠʌȠȓȘıȘ�IJȦȞ�ĮıțȒıİȦȞ��ǹȣIJȩ�įȘȜĮįȒ�ʌȠȣ�IJȩıȠ�İȪıIJȠȤĮ�Ƞ�ĮȟȑȤĮıIJȠȢ�įȐıțĮȜȠȢ�ĬİȩįȦȡȠȢ�ȀĮȗĮȞIJȗȒȢ�ȤĮȡĮțIJȒȡȚȗİ�ȦȢ�©ʌİȡȚʌIJȦıȚȠȜȠȖȓĮª�
ǻİȞ�ȑȤİȚ�ȞȩȘȝĮ�ȞĮ�ĮȞĮȗȘIJȒıİȚ�țĮȞİȓȢ�IJȚȢ�ĮȚIJȓİȢ�ĮȣIJȒȢ�IJȘȢ�İȝȝȠȞȒȢ��İȐȞ�įȘ�ȜĮįȒ�ȠijİȓȜİIJĮȚ�ıİ� ȑȜȜİȚȝȝĮ�ȜȠȖȚțȒȢ�Ȓ� İȞIJȚȝȩIJȘIJĮȢ��ȆȐȞIJȦȢ�� ȝȠȣ� İȓȞĮȚ� ȚįȚĮȓIJİȡĮ�įȪıțȠȜȠ�ȞĮ�ĮʌȠijȪȖȦ�IJȠȞ�ʌİȚȡĮıȝȩ�țȐʌȠȚȦȞ�İȞȠȤȜȘIJȚțȫȞ�ĮȜȜȐ�ȝȐȜȜȠȞ�ʌȡĮȖȝĮIJȚ�țȫȞ� ıțȑȥİȦȞ��ȦȢ� ʌȡȠȢ� IJĮ� ĮʌȠIJİȜȑıȝĮIJĮ� ĮȣIJȫȞ� IJȦȞ� ĮȞIJȚȜȒȥİȦȞ� Ȓ� ȓıȦȢ� “ȠȡijĮ�ȞȫȞ” ʌȡĮțIJȚțȫȞ�
ȀȐșİ�ȥİȣįĮȓıșȘıȘ�țĮȚ�ȝȚĮ�ijȣȜĮțȒ���ȀȐʌȦȢ�ȑIJıȚ�țȚ�İįȫ�Ș�ȥİȣįĮȓıșȘıȘ�IJȘȢ�ıȣıIJȘȝĮIJȚțȒȢ�ȠȡȖȐȞȦıȘȢ�țĮȚ�ȝİȜȑIJȘȢ�ijȣȜĮțȓȗİȚ�IJȠ�įȡȠıİȡȩ�ʌȞİȪȝĮ�IJȦȞ�ȝĮșȘIJȫȞ��ıIJİȡȫȞIJĮȢ�Įʌ¶�ĮȣIJȠȪȢ�IJȘ�ȝĮșȘIJİȓĮ�IJȘȢ�İȟİȡİȪȞȘıȘȢ��IJȘȞ�ĮȞİȝİȜȚȐ�IJȘȢ�ʌİȡȚʌȜȐȞȘ�ıȘȢ�țĮȚ�IJȘ�ȤĮȡȐ�IJȘȢ�ĮȞĮțȐȜȣȥȘȢ��ȈIJİȡȫȞIJĮȢ�ijȣıȚțȐ�ıIJȘ�ıȣȞȑȤİȚĮ�ıIJȠ�ȕĮșȝȩ�ʌȠȣ�IJĮ�İʌȘȡİȐȗȠȣȞ��IJĮ�ȝĮșȘȝĮIJȚțȐ�ĮȜȜȐ�țȣȡȓȦȢ�IJȘȞ�țȠȚȞȦȞȓĮ��Įʌȩ�ȝȣĮȜȐ�İȟİȡİȣȞȘȝȑ�ȞĮ�țĮȚ�ȐȡĮ�İȟİȡİȣȞȘIJȚțȐ��ȝİ� IJİȜȚțȩ�ĮʌȠIJȑȜİıȝĮ�IJȘȞ�ȤȦȡȓȢ�ĮȞIJȓʌĮȜȠ�İʌȚțȡȐIJȘıȘ�IJȘȢ�ȝȓȝȘıȘȢ��IJȘȢ�ijĮȚįȡȩIJȘIJĮȢ�țĮȚ�IJȘȢ�İʌĮȞȐȜȘȥȘȢ��ȅȚ�ĮʌȠįİȓȟİȚȢ�ȩȜȦȞ�IJȦȞ�ʌȡȠȘ�ȖȠȪȝİȞȦȞ��ʌȡȠijĮȞȫȢ�įİȞ�ȤȡİȚȐȗİIJĮȚ�ȞĮ�ĮȞĮȗȘIJȘșȠȪȞ ıİ�ıțȠȞȚıȝȑȞĮ�ȝĮșȘȝĮIJȚțȐ�ȕȚȕȜȓĮ��ǹȞ�IJİȜȚțȐ�ijȠȕȓȗİȚ�IJȩıȠ�ʌȠȜȪ�ȝȚĮ�ȝĮIJȚȐ�ȝȑıĮ�ȝĮȢ��IJȠȣȜȐȤȚıIJȠȞ�IJȫȡĮ�İȓȞĮȚ�ĮȡțİIJȒ�ȝȚĮ�ȝĮIJȚȐ�įȓʌȜĮ�ȝĮȢ�
ĬİııĮȜȠȞȓțȘ��ǿȠȪȞȚȠȢ 2013 īȚȫȡȖȠȢ ȁ��ȂĮȣȡȓįȘȢ
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