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M222 n0127722nXi1M2is2i mi1810mi Mi1921985bV221 50227722 10181010 90191 1090502219850027300980371MOE2p 037139hrsEstimatorofpopulationtota. Figure 1 Analysis Figure 2 brPage 3br dI dT Object Moment of Inertia I kgm Period For One Oscillation s Table 1 Figure 3 I I brPage 4br I T T I Conclusion References PNi=1t(i)(31)andthusthenewscaledvalueforbecomes:^t(i)=ctt(i)=t(i) PNi=1t(i)(32)asimilarcoecientcanbecomputedfor^t(i).References[1]Huanget.al.SpokenLanguageProcessing.PrenticeHallPTR.[2]L.Baum KarlineSoetaert3example(image3D)example(contour3D)example(colkey)example(jet.col)example(perspbox)example(mesh)example(trans3D)example(plot.plist)example(ImageOcean)example(Oxsat)2.Functionsimage2Dand p Pni=1(xjixj)2p Pni=1(xlixl)2itfollowsthatPni=1(xjixj)(xlixl)=0.ThisresultwillsimplifyZ0Z:ThediagonalentrieswillbePni=1(xjixj)2;j=1;2;:::;k,andalltheotherentrieswillbezero.Therefore,^(0)=0 1E&:$%&566&H1E&%;N$&78%%69:;%9&8344&2%&9%4%N:%A&W3;&;&E;CA1P&AE;83CG&:1&2%&N1CAMN:%A&2D&761C91E&1C&1E&;21M:& 1E&W13N%P;34&P%99;G%9&C1:&E%N%3W%A"&&&*"!DT/Z16&8U�&233T-[/V871&178/0&K80B16&'\2K]6^ y�b1 x(Note: y=1 nPni=1yiand x=1 nPni=1xi.)Proof:Ignoringthesecondnormalequation,startbydividingtherstnormalequationbyn:1 nnXi=1yi=b0+b1 nnXi=1xi:Rearrangingthisequation,andnotingthat y=1 nPni (8)Pni=1(xi� x)
(yi� x y: Proof:Expand.e.g.,Pni=1xi(yi� y)intherighthandsideof(7),use(2)andthedenitionof x.(9)Pni=1(xi� x)2=Pni=1x2i�n x2: Proof:By(5)wegetthatPni=1(xi� x)2=P nB=Ni NB(1)whereNiisthenumberofparticlesofisotopei,NBisthenumberofbaryons,niisthenumberdensity[cm�3]ofisotopeiandnBisbaryonnumberdensity[cm�3].Thenumberofbaryonsinisotopeidividedbythetotalnumber OverviewoftheLecture Briefintroductiontomachinelearning. WhatarePerceptrons? Howdotheylearn? ApplicationsofPerceptrons.2/45 MachineLearning Focus Tostudyanddevelopcomputationalmodelscapableofimproving 1+p� 2
p=2 nXi=1jxij�1!�pEmin1injxigijp:Moreover,ifthegi'sareindependentthenEmin1injxigijp�(1+p)� 2
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