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2FXf1NXk1PfkhckDXi1Cifvi2NXk1bckhck1whereP2RFNisamatrixwithnonpositiveentriesNisthenumberofhiddenunitsandbcisavectorofbiasesEachtermintherstsumconsistsofatripletofvari Figure2Toyillus. Figure1:RecurrentNeuralNetworkLanguageModel.outputlayersarecomputedasfollows:s(t)=f(Uw(t)+Ws(t1))(1)y(t)=g(Vs(t));(2)wheref(z)=1 1+ez;g(zm)=ezm Pkezk:(3)Inthisframework,thewordrepresentationsarefoun Figure1. Map of National Forest System lands. Any fire occurring on the wildlands, regardless of ignition source, damages, or benefits. On October 11, 2007, I issued a conditional Decision Notice Figure1:Barchartsdepictingctionalfruitsales.Thechartsusecolorassignmentsfromanexpert(left),ouralgorithm(center),andastandardpalette(right).Thersttwochartsusesemantically-resonantcolorstorepresentdat Figure1.Twoprobabilisticprograms.programsisconcernedonlywiththe(normalized)probabilitydis-tributionofoutputsoverterminatingruns(seeSection3forafor-maldenitionofsemanticsofprobabilisticprograms).These Silviculture / Management No. 10 FIGURE1:Price size curve for conifers 1985-2001. elephone:+353 1 2130725http://www.coford.ieCOFORD2004 based on the top diameter and length of the log). Thematerial is Figure1.1.TheKnesergraphK(5,2)andthePetersengraphThemostcommonexampleisK(5;2),whichisisomorphic(i.e.eachvertexinonegraphcanbemappedtoauniquevertexinanothergraph)tothePetersengraph(Figure1.1).Askaseven @cs.caltech.edu Figure1:Ourreal-timemultiresolutionmodelallowsforawiderangeofapplications,fromvirtualsurgerysimulators(top:liverlaparoscopicoperation)tootherimmersivesimulations(bottom:toyexample).The Figure1:(a)Diodecrosssection.(b)Reversebiaseddiode.(c)Forwardbiaseddiode.Figure1(b)showsthediodewithabatteryconnectedacrossit.Thepolarityofthebatteryissuchthatitreinforcestheelectriceldacrossthejuncti (a)(b)(c)(d)Figure2.(a)Theoriginalhorsemodel,19851vertices;(b)close Figure1: Teddy in use on a display-integrated tablet. Figure 2: Painted models created using Teddy and paintedusing a commercial texture-map editor. {takeo, tanaka}@mtl.t.u-tokyo.ac.jp, matsu@is.tite 2DUSAMCDUFF WHATISSYMPLECTICGEOMETRY?3 Figure1.2.Thesymplecticarea!(S)isthesumoftheareaofitspro-jectionpr12(S)totheplane(x1;x2)=(p1;q1)givenbythevelocityandpositionintherstdirectiontogetherwithth Inthe“rsttwochapterswewillconsidersomebasicconceptsandideasasthemathematicalbackgroundforthespeci“cdiscussionsofthevariousorthogonaltransformmethodsinthesubsequentchapters.Here,wewillsetupaf TCDPrinter-friendlyversionDiscussionpaperREPLY-ChangedaccordinglyFigure1Studyareaainnorth-easternSiberiashowingthestudysiteonSobo-SiseIslandintheeasternLenaDeltareddotno5andfurtherlocationsmentionedin MidlineMidline lateral Figure1.Thenumberofsynapticconnectionsreceivedfrompremotorinterneuronsiscondi-tionedbypositioningofmotorneurondendrites.(Left)Incontrolconditions,agivenmotorneuronreceivesbalan