Question 1

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P e space straight complex numbers space left parenthesis space m u l t i m e a space n u m e r e l o r space c o m p l e x e space c u space o p e r a t i i l e space u z u a l e space plus space s i space times space right parenthesis comma
space s e space d e f i n e s t e space l e g e a space d e space c o m p o z i t i e space ring operator space a s t f e l space space left parenthesis z comma t right parenthesis space rightwards arrow space z ring operator t space equals z t space plus space i left parenthesis z plus t right parenthesis space minus space left parenthesis i space plus space 1 right parenthesis.

C u p l u l space space left parenthesis straight complex numbers comma space ring operator right parenthesis space e s t e space text monoid end text.

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