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1、SpecialNotationSetTheoryandNumberTheorynaturalnumbers........................................1
integers................................................1
nbinomialcoefficient....................................18rbxcgreatestintegerinx.....................

2、...............258d.x/dthcyclotomicpolynomial.............................29.n/Euler-function......................................30rationalnumbers......................................34realnumbers..........................................34complex

3、numbers......................................35ajbaisadivisorofb......................................37.a;b/gcdofaandb.........................................37Ta;bUlcmofaandb........................................55abmodmacongruenttobmodm............

4、....................57XYXissubsetofY.......................................81XYXispropersubsetofY.................................81emptyset.............................................81XYcartesianproduct......................................841Xiden

5、tityfunctiononsetX..............................84jXjnumberofelementsinfinitesetX.......................84imfimageoffunctionf...................................85fVa7!bf.a/Db.............................................86abaisequivalenttob................

6、....................96TaUequivalenceclassofa.................................97TaUcongruenceclassofa.................................168mintegersmodulom....................................168ix1;::;xbi;::;xnx1;:::;xnwithxideleted.........................

7、....330ijKroneckerdelta......................................370GroupTheorySXsymmetricgrouponsetX.............................103Snsymmetricgrouponnletters..........................103sgn./signumofpermutation..............................117GL.n;k/gener

8、allineargroup..................................128Isom.2/groupofisometriesoftheplane........................136O2./orthogonalgroupoftheplane..........................136D2ndihedralgroupoforder2n...................