数式等の英語での読みについて - izumi-math.jp

1 1 (13)2012 8 8 ( 1) 2010 11 III ( 2011)1222 ayxxsquared minusysquared overasquared equals ayaxaxsquared plusysquared over twoaequals ( 2011)2219loglim3 xxxThe limit asxtends to infinity of log base three of ninexminus one overxplus two equals ( 2011)4sin2121 kSnkkn Ssubnequals the sum fromkequals one tonof one overtwo to thektimes sineksquared pi over nnSThe limit asntends to infinity ofSsubnequals the squareroot of two over three.

2 2)2cos1(lim20 f( 0)0( f )0(f) ( 2010)The limit as theta tends to zero offof one minus cosine two theta over thetasquared equals two pi, forfof zero equals zero andfprime of zero equals ( 2011)tttxcos)1()(2 xoftequals one plustsquared times cosinet,yofttttysin)1()(2 equals one plustsquared times 2010 22 xxyyequals the square root of two minusxoverxplus two.)2(222 xxxyyprime equals minus two over the square root of twominusxtimes the square root ofxplus two timesxplus ( 2011)dttxtxf 202sincos)( fofxequals the integral from zero to pi over two ofthe absolute value of cosinetminusxsine ( 2011 ))21log()2111(lim222222 nnnnn The limit asntends to infinity of one over the square root of one squared plusnsquared plus one over the square root of two squared plusnsquared plus, andso on, plus one over the square root ofnsquared plusnsquared equals log ofone plus the square root ( 2011 ) nnxdxnnxdx123loglog21)!

3 Log(logLognfactorial minus one half lognis between the integral from three overtwo tonof logxdxand the integral from one tonof logxdx9. 2010 2)1(1)1( nnnttn(n 0 t)One plustto thenis greater than or equal to one plusntplusntimesnminus one over two, fornnatural number 2010 00)(sin2)(sindxxfdxxxfThe integral from zero to pi ofxtimesfofsinexdxequals pi over two times the integral from zero to pi 308 2cos2sinlogcos1sin xxbxbadx( sinba cos22bab x)The integral of one overaplusbsinexdxequals one overbcosine alpha timesLog of sine ofxplus alpha over two, over cosine ofxminus alpha over two, foraequalsbsine alpha, the square root ofbsquared minusasquared equalsbcosine alpha andxlying between minus pi and 495 2 , (0 a ) 022xaadx0,(0 a )2 ,(0 a )The integral from zero to infinity ofaoverasquared plusxsquareddxequalspi over two, , foraequals pi over two, foranegative.)

4 2010 11 III C ( ) ( )