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:http://en.wikipedia.org/wiki/Double-angle_formula#Double-angle.2C_triple-angle.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koordinaterne for 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 vil 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 .Mere pr\303\246cist er 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 har s\303\245 koordinaterne: 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bevis:Anvender rotationsmatricen i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRj4=, dvs. 2 dimensioner.Lad LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= have samme betydning som ovenfor.Afbildningen opbygges af 3 line\303\246re afbildninger:1) F\303\270rst drejes vinklen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtaUdGJDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= med uret (dvs. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= imod uret). Nu ligger spejlingsaksen 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 p\303\245 selve x-aksen.2) S\303\245 foretages en spejling i x-aksen.3) Til sidst drejes vinklen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= med uret. Dette er den inverse afbildning af nr. 1.Rotationsmatricer findes let p\303\245 Wikipedia:http://en.wikipedia.org/wiki/Rotation_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LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlUz1GKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQ/J0YqLSUpQ0hJTERSRU5HNiI=Spejling i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=-aksen: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EiaUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRicvRjVRJ25vcm1hbEYn g\303\245r over i sig selv, og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EiakYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRicvRjVRJ25vcm1hbEYn g\303\245r over i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtaUdGJDYnUSJqRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0ZML0YwUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJ0Yv .Matricerne har s\303\245 f\303\270lgende v\303\246rdi:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==Qyc+SSNBMUc2Ii1JJ01hdHJpeEdGJTYjL0kkJWlkR0YlIislKkhkcFciIiI+SSNBMkdGJS1GJzYjL0YqIitlSWRwV0YsPkkjQTNHRiUqJEYkISIiDe 3 line\303\246re afbildninger s\303\246ttes sammen:PkkiQUc2Ii1JMGRlbGF5RG90UHJvZHVjdEc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiRJLFR5cGVzZXR0aW5nRzYkRihJKF9zeXNsaWJHRiQ2JC1GJjYkSSNBM0dGJEkjQTJHRiRJI0ExR0YkPkkiQUc2Ii1JKXNpbXBsaWZ5R0YkNiNGIw==NB: I f\303\270lge formlerne for dobbelte vinkler 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@e_>]_Qt@_pCNct>mwvhhamWyqywqQIeZxe@Y^XHj=vZt@^^>mg^tJ_jl`Zc@dZ^hvAykwdI^\\vivdwgiwp_YsQxj_O]nodrWv@i[Q>j?YtQipwFpHHaYhwTpcuGgRFgxaysIfiHvFImmFfAqqtgxdAd`@uMiyOH[lIbiO_ix`MxxO>_qGoPHgc_b_>oNYss_iSnjLh[D>uHf]t^fMn^F?kS>qOVbUFwiicUWeUX]?^cNo]Jo_gOZ<HujVsPh_mWbFQsJNyZabUQ^APo\\G[HfcaXcuatJIej?]?wqjO]DpmsVh`?uwglk`dahmgi<_WVSPpXWtdw_pKLuVTIl;\\V^mXOusuqsutwnQYvpUQPpAIovpu<uYYEjnMJ?`UPHwNTVSpThPuDexZPwu]NrTjyivEylKuka@TTAoiTSLaxrQVfULZdnZmTW\\jxENPpOWMwx\\otiRRAqkUVY`O^yMGavCYlWyOb]V[EqIQxOeTOejgutSinlDksaLeAmmIeMIgifmcYcjone_^YOokNh^AsrHe=fhVHsvpu<oiYGjnOjm`eQHw>WdFffTCTQSwATf?FgKe<=GsMweQdnOVfUDZcvZmTW[s^GSMOrdAWN;dfWUqogIYbSeSP=txOb;EfHwFRufM[IUsxSMrbeHdGibacMgI`aYpWWdcw_YbRyEx=y[kvmIWCyEY[b@QELOxSObNmUiMiiYGJ=SlIT`WDg;Edkblcg<=We?S??TlaTBcfxebPqF:Ms;agx;itGyZaSWsbtKHWGxoiFwQXb=E_KHuGYnAwKuDRkREaBdacWEEKaVhsEUyDWGX\\WVHy>`XFQK\\il;<[jOwoPwRipWwiZ_t[qbPQgcVZepkmflQYmcYyD^\\D`iNHw>WDfjLqd;GmpHddVcdNoYYkOyqONbcxe[pih?j^XjSGdaF\\F>tnIjh`of`wmXjKo\\IWyNIet?xdIedxxki`=Oy?ydwokYNrPIxcXbBytl@^Ca]moaUi`WqxTiquwpEndwYvvftiGiDal>oqPfuYylM^nlQiEfwwgZLilIP`W@c?Qd`hdBfgOF_Mp`LIhb?_yFeD>a]gZaHyhfxe^vIi[JPdjVo[fZ?>g;Qvmwa>InZncagytVoh?gb?h;Yu\\hbEPbUa`VHngOeRGqtPqTi[UFgupjsixEF]SHpNfmWXwfy_R_khIwsgagHhapkTyfyQdWoweVmLha`aipXgtfw_yoHVnHHeWnoHhdui[p_qtYbsQyeyouhiuyvxqwuxwVwnU^[:XvwpuFwkM>_nFyfVtKPfdVtDyhUg^D_Z^Pu@OaH`goYesa_oYs`Wm:FiGnfMfeKYbWVfn@rcNupfZXGsroyvIiLwxEhpiaiBoxRXX`XUYOSxr_LUnXQOXO=aLLYyD\\netM_MQ;yvilnlFyfWoRO[_`vcRcwU[shC;DEysbMB:;shcdcaYsivQgidyF]gdcaBsQHW?v>eeBYy>QGEMx_sSTCRKmXPyunKb]iBEIYvIs`miEIYlItPExNKTUcV]ix^UR[kYh=bZoYiSBeUPhmWphrExLMQO:<l<@WwuVjewNAW_MQ\\HnTYjAtK@hlcaJQXTL=pZytCdKPHw>moiPODAuc=uqLMOHOsaKYxO_MxuaSoMjNuUBiXUeNm]QsqW]`RixrYTnDQqNhuPQoJlq^dsiUtLHUKhNcUp`esDHULpTbiW<\\rdyXClV;<nILjS=J:mWtiUDaK:BbKU>Sh:;J:=@;B:;C`EB:;B:KbS=B:;BJ[s<;J:<;>Z>Vp:>Z:>Z;a_:>Z:>;BZsGtYt>cb;yUq]UhmuvGW]yrIwh=ybIsfveSkaUuoXgQegeutgt@acSSVQugXehmyvIYx`MZBrlMXdatcSinEwL=UZ;It]xbUEqkWVgIwMynCVjCIoMwNai?KhEmdfChuuxhIiiyTh_UcUEp[WjgEukXjqf<;GC_F=Oy`EijEv<gwSYhAqvHieEUr:cB@OH=OBjgYuqXUyiyuYRqh]sRH?umwVIaU:?Ei;CxsXhaUXqcumuvGYhWXqqbHcEdurHgE]iC?;TnqEv;YZQBSexGQicwgMueagw:;C`ED;uVvYhausHSu`YhgOyS]GuuxhisUIHeSBu;WJAfXEUDcBZABJ]wHuexcWGgcGGfiiYYufgABDSC_mB?;R;Ev]yrIWYyGIwYVygITKsykYvAiGAekSFisrvWWQqgXErnOW`EBZcT??Ia=V?QcOkHv=yjAlwmRpMv>IkCBNGi>KI`ifEudlsd;[Bm?wuEtdQVOIEx?YkQFdurc?RpavCYdhYw@ob@?tQIdWwihyxjIv=ATZGivEylut;UYdSTRUipego]Xn=upgWUaupcuyIt]wRhSFfOTA?WoAitmUWSUjIivqI@gCUkrUKCZCWS_sS;weErKwfTQuTUeoSWPMrsKC?OHQ?RAIfl?C_SS:OTAEe;EbLIMcxoixwoYPo]kxXvYUp`ekuQUq@s:mT;ioxytGuQYuphemEAj>TQdWrO?bvqsuvwrXydpafPplPtPgoTg\\oAunaQordccjyhCYdaSiLSb^MhP;BZifusVZsdNyGd]xfCeFsVxwvL;GUSgxAYwQyoaYr?RjScvItSchD=CNugOHVpdVRUuUYu=qpc=seuxhiuwpwu<XZARQITATPHTn@eklXqquw@eYheQiPpvpQBptGURSMpZEr<lu:OlPpwVHJ]LjUwPioJ=NUtW<<U[\\s_<tYakeytiXq]iMsLX^tMj\\l?LsFLKJpsfilg@kVlrIePM@nU=XcEmuyxiyrVLXTPP_MSLyVwQOk<msTX`=upeVpelghs^Am;\\lY`X`aK^QkiDjJASSPyxXRApKSajCTL\\mNS<mE=JJ\\s\\XkYlMLIMxmNNIxHMmnDs_=TwALXPpYLoIhs>PJ\\EodPoDTuhpKymyvIyvHj:LTLPwVHjZ=nsHYmqvjXLkeJWHr:UTqITjEoKEOGiJJiS_XUKhNSMsvPoV<RnLN_xoOUNe`r<`JQePrEyliVFaJ<TXC^ZmhfIgx[O]hx[@NpdakMhe^XarFs:Gjfpdt>koFwZVtEh_>vyR>_uYoH_aTgii>jLInMNfgp`J`__gewgexO_\\isS>xwQnDOmnOhhYy\\fxyO[xf`>qwuinGWmpFeawfa?uCoq`nlWqqwWuwncwAn`ExIHxIXakSV?XwYVf?roKeZaMXPPHQOk<mmtVHtMX<jZmpnIObaTp<NlTNu]xbItRHrf]vj\\mlpKxXrPesf]vlhU;aofpyB]RHMqBmRn>etYj[`glGnYOiQ>b`Ohk`rMO`moZnPe:pb<PjyvamovF?g^AcPwoXg]Tgn_>iLnagOun@dJYoEps>v]]NsfPyLaoN?ys`Z;qiOgytikUv`RXC[BmgfIEU@geusXtoss;IuuT;IgYKyDoRekCVmivEInyB:ytkOg=qTZWg[WhZyEB?frusUscXWU=mVxShe?vUEBhsdjgBJgCCovF;giITpWHl;RF_shOWn?Se[h>MTjSgxqTPgGUmvDeD@sCX[EDKXogGOYDwaSaQD>mxIIcLKC^kC:KbSQb]oSSeE[=hhSsMufXScPwgKmb<yB:IrH;U=aVTURpOitOuOYcCOhGKGy;tpgGUDX;]pXxUy=MnaUDlmUUUUeuIil_AtpeKShWVAqk\\Ou\\YZAr;tlChtDxJKxY>=JZdUCasS<WeUWmuyAtOb=LCyl<]rUhsiySBiP\\enlqOOqpdex>dxqMwEXTS`sTHsVMJWtRfhVJTnKekjMQ]PW:DrfLyNYxaysMQYVPQ\\AUoAW;iP^Uj<hx]myxElN<t@YnAaNUurE<nn]x_esfMpmmJv=LuYrItQ>aYhdU;]sADmkPpRPwydxvQQ;yKhTq_XVJQmVIwf`sLpsVMJWtJCDZ;a?;s;oidGeGeVHAbxwTJ_gKyfBAbMus]wvJqXOasdoFpKX\\Wgl;hx]TCeXhOisiyd;EOYWV;HZ=RDurIaU<;Fy?ibMB:;Fi]yVGBOGIcSIeyWdsXDgRQsYsQxEyGuetToBaICbMxQwgGgxnuY?ShdSglQFiYffag`YF^OFrsd:=eE=B^qDSGU:;RXafmsV:EeQedU;gPaTo[fDQwd;EHktLOGZ_YwixQiUc]bIarxuxWyXhoGp;eggtD[BDke=WwFqfmOe;EFGiFJIc:od?StDMC\\oHrewowttegkWCNOcxuG=SCciHqsHUX;>>cYa<sYuqUmXSHuVeOtiK:<ZwwofQjSaefNyG>:;Fq;e:kJ:<J?UkC<VS=tixUyLM[TSLEqPLa:bTGu>KdcGe_;B=<J:=PUXLNas<>ZZR;sRQ_WnYWlKWwqrwSYpAXcWU:;jZmL?xSQMsK=NeyLdttO`Y`isUxLqQYbAJ:<JSardmJw]L^IoptpNimxdYt\\wdhQxTNehwC@wlxktPSGpoLYTHdW?<J:<K`Uk<PjnHSMpNSuRAuRXyk]xocQlLxNImmFTK\\iV\\arCn]UQl_VCe_WWqVwly_dJW;<^Ux^D^v`vcXdeUXaUwsQt_GvxYXaqs_avouBeYVeUWeeWPagSpoumMGPSK\\TUUwcQmbyrHhM]YR><J:<[`Ykd_bixeypwPWcRFal_f@ysqVh`asnx]uxhiquVxqxgfRw]yniV@ho@[_?fo`uS_v^Fpaca]YB?BZ;RM[WQmgVEwhUfAucpEcD<K`USXPjDYvAykaaq=iqoUwP=OJhkQhTXipeulgEulhNfUuOYoQEY]AJZ<NrDrPuPGpVc]TeTlKUQZ`TkPm;Ek?LpxpjoHn[HNnix[YrAXrPuLJiyXlQv=MD\\NQxOYmwdyUwdmwyoWUqPitwqWUqpGiWMiyYdQt]vPxutLX^ASb`l:uxOujuhXeqTQIsXLQn=s`\\SR@LoeP=dwqirExL[Uylyrj\\WRAPXAR:<w[yNRQyOQV<XLfU^[@Z;a_Doj@@xoWt_iHSWPaRW_T_?bLErgOS\\[i;YbASiyiYACgHUTQeIU;HZ=bE;cqmwVIEDkUoOx:QgOUgVYvoCdEEe<CChOWJSwD?WTyWyqywYrPuGJEW<OSFkvFIe=YEB[dsceJsGWMinsWQshKAGMIr=wBWyttOT^AykYvueF=KTwmiTOeTstykfT;bdqy=ybIsCeUEC]H;qTNyHeCrjkVFAEQ_GZQV;=FRgRCET@ghwgiw[WUOIvguuwXqQwfuBH<t?Tm;IKWMUs=RSHUKqxNmO_YowQOE\\wmdKx<qxHX]qjg<Uj@jqtJbTVxavRePoIyZyRSPj;xmdaTAikUtVIumxdSyykfuynyyFqnmDrPyoPTviTrhPYUeNp\\tQQJ>TpbDKdAtnUKXEqEuLs<koyJ^MsNHOSEuiPpDLOk<kV@u``siPQumjGAjlanxHR;]weuowplQYvRqqwUYi`K`pSVynGUm`QJ<AvC=Yl`tihV]xWEmX<hobhOI\\Mr<LtquipL==PELjS]xSdOainZMPLPwMUOdLOteWQ=tcysrXtwYr[hXjUjSLTGTyqixt@qxiPPeTOejguT:eQymyvmQB<RSPxeDrrqyjIsMxNsEQHdsA<TY=MF<MwmLNuQEylbULfUVOhQjPUF<K`ElQDrTitZdKieVL\\p@mXjmyf`U;`wFHMmLVXhne=kdDtjlT`xYrPjW`plhpoixoaYJ>sefZ;PsxoxtY^SHbS@jtYtppppvdaQmHwqTPs>VeKQgkFlEW`lPeF>[`GdVxgd_baYofvoyVnQgsfPjSAnZodPGj_Oa=IgC`bUWiqWt`hchQ^MFwHoo:>jfGkPw\\e@fNw^VIp`fecF_Z`ocpjlivhiuupwegx[PifPyqffogxyPjSadPOkCgh<h_ehr:@fPf^_PplPthvex`]dA\\wgmdPj@gZtPwvWjWhhJxwNXpGWyPwjdY`yPsPBjEg]QBDwb@GvoSsyCUSod?evUOH\\oy^sIT=fUCil[c@UeH]erCvxoTysfLAByOUF_FuOTFwYvMGM[WSeG@[ZeNoeXoWwv[HusqqmOt^pZo_js`sxNwfqemHeoFg;OjSpdo_pDa[bAeoPk;@gRVc_yZTqnEN]bViZHsJNw>fxVOsT^ppppttamsVGXUixTqHh]uRYgpSGXcSD=T@OReKFB]gLSKDTTsdOkanZeTQ<nKmTnLUyioEmjAmsq=TP]tI]oGxNKQSkDwZepR<LFQNe\\LjiL<dXJHplHNxTPJDomXpmxtwQpwQynamc`Jy@JJ@OZaSPpR<PTCMOb=kYuNoIpPUNRmpfEmgmuvHu_mUoPv;pwihWCqlceVeenRDVo@MJRJobFCE<UF:;RV?RPUrlIsL=xR_WZGgOeDnKcNcw<YHXOB]etxOw\\sCdWSOeseoReOts?R<mfReG@[JK=lRLjA<dNNdGao@?ntQnY`dsol<^tZ?^ePte@sKg^gWdsodjGsffahguthhsWs>PpT_;@J:\\rKMwoTpdHPOaNRAsF`wKYnAUY?TpdHTOisYyT;`nTyRMXqlekOQV:C:;fFIGMQgOiBn[GiyFIQc`;r@QU_iRqyC@kiDqsdeHS_U]ehR;DFQB:;dAebjODFoVvYWRmIrofewfC?VKAWoAB?ki;iptitFLjePrn\\Pn<qZ@YKQn?eYlPTF@pT]KDIUyxl;hjfQmUXmgEx\\irnPK:\\n:pqM<JlytiqyFpv:<J:<RkPNRhJ:<J:Drf<Z:>jZo<;JJB:<jZ?Z:>Z:s<B>Sh:<J:LZ:>:;;>[`G:;B:?><;R[SwIUD:<NyLmTPmfQt_XShYwEtLh<uXhQu]Whaus`PF<RjT[:PrpAv;YZQ>shyuyxuwwidatcVmqvgXhuyxiYqbF@];WZ;FCSH:;BN[UJwHumxfQdyeeawSYoh@qr@AtqqI]SggIcVUipesdWgegW=qbGcVKqT:Crf;BZ?Gb;SU_HcMdo]Xn]vwAItQuDgDe[w^IsMGV;]iF]erCH[IhgCUl_rTUUUeWAqcWkHd]tbsDNQB>Sh:<sMdJlKphxeytaiyR]PVyYhaus`mfYORuMUUUUUWmpVGQpcXTaprw]kDELNotUNanSATQ@yjB\\Jm@ZBy\\OAkXwqxguHymyvg]vbH`seIpfiUissqIOGVw]yrIhueykAG=SIb=tZpNChQumxFxKK<K`EZJowN^dXvax_aaXyNQk@vphguDfZlpqVA^TheuphSqlgVe<qpWgqtglqn[_gkOa[:>ZbI[^giGrJAtJKaA<;wxu;\\NQx_ViToeDaDPqgWU_W=vA:>dcjOQk@TUqpWoERfIn=ujfMr>HKKuTm<txuUv@ifwexA]@h[UnrU>[<He:blmf[[YWQyoYwaUWPagCOIcOS;cf<WUO_RrUbAsCpuyuAFMeF:sxhiumGB=kBr?bruvHie[?vOUGI[gTehDiIXUDs_TyQG;iTGkUx_YScxrahYqywYyAggX=fLaBO?EFIemsbq;D>S`:@yNHfgwgiw[Uq``_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denne matrix LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GNlEnbm9ybWFsRic= identisk med 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