Advanced book on Mathematics Olympiad

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Index of Notation 793

On then×nzero matrix


In then×nidentity matrix


detA determinant of the matrixA


trA trace of the matrixA


A−^1 inverse ofA


At transpose of the matrixA


A† transpose conjugate of the matrixA


f◦gfcomposed withg


limx→a limit asxapproachesa


f◦gfcomposed withg


f′(x) derivative off(x)


df
dx derivative off(x)
∂f
∂x partial derivative offwith respect tox

f(n)(x) nth derivative off(x)with respect tox



f(x)dx indefinite integral off(x)


∫b
af(x)dx definite integral off(x)fromatob

Df(x)dx integral off(x)over the domainD


φ(x) Euler’s totient function ofx


∠ABC angleABC



AB arc of a circle with extremitiesAandB

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