Advanced book on Mathematics Olympiad

(ff) #1

Index of Notation


N the set of positive integers 1, 2 , 3 ,...


Z the set of integers


Q the set of rational numbers


R the set of real numbers


C the set of complex numbers


[a, b] closed interval, i.e., allxsuch thata≤x≤b


(a, b) open interval, i.e., allxsuch thata<x<b


[a, b) half-open interval, i.e., allxsuch thata≤x<b


|x| absolute value ofx


z complex conjugate ofz


Rez real part ofz


Imz imaginary part ofz


−→v the vectorv


‖−→x‖ norm of the vector−→x

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