A Note on Notation SOME OF THE SYMBOLISM in this book has not (yet?)become standard Here is a list of notations that might be unfamiliar to readers who have learned similar material from other books,together with the page numbers where these notations are explained: Notation Name Page Inx natural logarithm:log,x 262 lgx binary logarithm:log,x 70 log x common logarithm:log,ox 435 floor:maxn n x,integer n) 67 [x] ceiling:min nn >x,integer n 67 xmody remainder:x-y x/y] 82 (x) fractional part:x mod 1 ∑fixx indefinite summation 48 ∑8fKx definite summation 49 x falling factorial power:x!/(x-n)! 47 xii rising factorial power:(x +n)/T(x) 48 nj subfactorial:n!/0!-n!/1!+..+(-1 )"n!/n! 194 Rz real part:x,if z =x iy 64 If you don't under- Jz imaginary part:y,if z=x+iy 64 stand what the x denotes at the Hn harmonic number:1 /1+...+1 /n 29 bottom of this page, try asking your H generalized harmonic number.1 /1x +..+1 /nx 263 Latin professor instead of your f“( mth derivative of f at z 456 math professor.A Note on Notation SOME OF THE SYMBOLISM in this book has not (yet?) become standard. Here is a list of notations that might be unfamiliar to readers who have learned similar material from other books, together with the page numbers where these notations are explained: Notation lnx kx log x 1x1 1x1 xmody {xl x f(x) 6x x: f(x) 6x XI1 X ii ni iRz Jz H, H’X’ n f'"'(z) X Name natural logarithm: log, x binary logarithm: log, x common logarithm: log, 0 x floor: max{n 1 n < x, integer n} ceiling: min{ n 1 n 3 x, integer n} remainder: x - y lx/y] fractional part: x mod 1 indefinite summation Page 262 70 435 67 67 82 70 48 definite summation 49 falling factorial power: x!/(x - n)! rising factorial power: T(x + n)/(x) subfactorial: n!/O! - n!/l ! + . . + (-1 )“n!/n! real part: x, if 2 = x + iy imaginary part: y, if 2 = x + iy harmonic number: 1 /l + . . . + 1 /n generalized harmonic number: 1 /lx + . . . + 1 /nx mth derivative of f at z 47 48 194 64 64 2 9 263 456 If you don’t under￾stand what the x denotes at the bottom of this page, try asking your Latin professor instead of your math professor