Math 670 D. : An algorithm tr fndg if Spm 6 " write An th bunk ) f subsp a LI . ' 's ) Ho = ' B dB ' Wf dos th . new wsk ? } is : & / ar gp khts f Rfm Hm f 6 Here La ' B ' Bi d B HB = is LA left a (B) in be Thu , as Wily tone yielding So on fm entries recognize the 6 then Lal B) , & AB = " B DB of ' as LI the Late d B ADB = as , nhr Bild B where ' 's B) La dB= IABT AAB BTA 'AAB = = B ' ' DB I - fs . sinefr = VEH 6) , DBIAH = AABM . so , . Hms the LI of entry repomtjatpil EH Its LI we in . lot words . . , ' B d 13 = or , Gnirbtf d2B= dld B) = ) dl Br argp ! ( D= d fake dr = Hsfk's - r = , d he u ^r= f R, ( we ' 00 Bdr Bnrt dr+r^r=o . 6 Br dB= , the Manu Calm yuan d 1 let be the nth & B mkbgp a r= 0 . down An algorithm frayntytheextnw ÷ I hut ' 1 mud A) dB= . . =D Bldlar ) LGHBH ' done D ( ×o B= we tpilekf < w ' ( no! ) txdf ) ( *×o = meth the d dB= & A =L ?: ) If dhmstte bin bad cords atpidelt f B And We 'll . Brn set Bdr = BC rnrtdsd , . he smo = r= ) . many A 'dB= Hit so txdoy ) ( %) ( txdox des =o = 4 dz = - esnn , & agree J so wlar earlier akbtb . Bi mmhtfns - ← be by : Hu → 6 RI wads other Gsihr In g or Lie gp , , : ;) is & Of Ad u l :" see case , int = ttg EG w all so , left & right multphwtinrspeety 6 dente → 4 RJW w=w right : g Cglhkghg at the fs LI bi hut - a , by get then we RYG ) . . . ditto 1 Ryo RM & sppn ihtf , so , apylm hut B we CT we : - Rhg = we = . ? = we Wgn line again , fr , , the so dittakl f oLD* , all on ( b! ) ebb w ( G. = prodnebinwtfy g to itself e we = TEG an thy . . wg=Lj?µe Rgtiwe Lj?Cg Rgtnnwe °Lg the tnsfmksf the a ' ' " , ts hit - 4 tg we k = he 6 g, G we = ' , Kl :D to:) X :D X h y, tut the - £ . a - 9 & 1 :} ) akf adjoint EG 6 xto mst ge 6 & here . . to itself Te6= g g an w . Cg mps . . then , l : Nt :X : Ht ! : l :lKhD= D l : X ::X :Hit ::X - - g Rolled the → Then €6 Adg Adk g : C : g. = of Cg Nw if X= It:) C RF = up isolated This so , Rs she 6 gp Lgt w/ whe we anjgak , if Rg :b left int LI B RY wg In hunt & 6 - dnteajxkf r46 WE ) be 6 fm ? BI Cg :b If ' ' : Lg abdin Lie gp an to find let bi alhd is on gp , at lie a Itto ) : :lEo" D= too :) , by 4 ntriof the tnnspse adm 5 writ Ad , ,;) Ad ,§,j to § . 4 . lhs has g*→g* ↳ qts - B ( is:) the ntrix his tag , Yeismeb toT ) w . 1 rt . & a & the did correspond bases , m yesuuectsfj) 4 ( 9) , so ' nps , & tune hps } This A 3 , Lie Oto H , is gp we the is will only called see ^ bi nut - to q l a 5^9 fm - an 6 uninodnbr if it hs thtewy . carpet Lie gp a & the bit int is no are tom uniwdwhr of . bi - hit 2- tpdwsh , fso . we see tat th , gp 6 is ntnninodnk .