0% found this document useful (0 votes)
79 views30 pages

Metric Space

Uploaded by

hr76jatin
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF or read online on Scribd
0% found this document useful (0 votes)
79 views30 pages

Metric Space

Uploaded by

hr76jatin
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF or read online on Scribd
You are on page 1/ 30
)1 Ups \ Menie Spats ples yo FH envy set AR enayping, at we k > Rw gata 40 wo merce i] Ae solishes. dre fotos 9 Yadpetes | we Lien nage) A Lay) 7 © Naye% . mo Leotnd dont) Atuy)=o wa: TAB C8ymmerty) ‘ Absy) = ALD Naoy &% Alwy) £ Aw) > Atay ) Nonyn€ % WH (Aariongle = tray)! cw Amey 2 Ballad ghe “gush Sense! 2 Alay) ob ced “Me “distant ste Ae nee qe sur Ho utiy ote dG Gita = matic svete (Ed) Cramer oh Malate “spas ® i Be sre S* A, send vee aye ak RR > Re og A Gay) Veg > Awe yoote gre 2 amare en, mye aye \aylvo Aauyy UR Tet - dtp) =o ‘Olea us ney mor Abay) = Yay) = \god = Alyy xd Yager my, aAbayy= \ryl = \m- 3437 Y\ <\edlaley) edlmgrdls 6 NY any3 AR, ad vavch Oh Ts dda mee SF We, Tee Kroon gandesd medic oniR. ‘Weoverm 1 (nodes’s Eresysabity) ak OA 2 Roe 297) oa ia Yo t % =I S xy < (avy (2 gy a re Guu ny = Sednwsesy, tmaquality ee Ane Syewol Gee , luo brqe 2, Me ahove Traguo ity Qadaut ko ie Spy are p>) a” Troy, ‘. y Y. n » Ken 2 = Zwys s (2x8) (28) 1. we ia Warm: (rm Kos eetls Treqality) La wee 2 gro Stan & Sbppee Wot a Tran, (2 cuayy®) < (32)3 (aa _ for “Mista Same F¥ Ps on oF ae ae XL,3i70 4 PPL, eee (Z Gari)" s (24 (Es < Mewse ee —— Xe bape = pay we IR islen} ead el Bre Se & iar 7 wie 5 cor ee Cue 24m? 4 YE LOA DD Bafine a Rae a. os we, A Lae (az (aa?) cw rary atayd Fe Pa de ee Ma! dbepre & (2 ees) =o zee aaa eae eB . oe (oa ay ee by ag eye WR MHS TIN. Ay <— © cameo Bade Lote ee CEE Y | a Sn ery lak mys BL Ts. dwg) < abu grt A604) + Nain Sys) se esl | Suet 00. le Cose Uy Rasen CT LES SRS Ge G) Bessy - Tran Las < RAS Ge GD RMS Sem d0559-4 AGyI=e fs dbugr%o & dksy) yo 2. dt27 = Alyy? o =) "oes > Re Be Y 4) aay fas boy) = 0 | Tras | aS RAS, So, wal’ Bcoser, we heave LWS EYER, Ryne Qi ts % =e dA wpe see use mest ABE TSS ak gh AS jy < : ray Wk SWE YTB BH XG, OY Es. Alay) < Sane Aa) Tors ¢ tmcgat)” g (z \aae ¥) "(= ew) Lat ete egg De reine 3 tata \ Yy emma Se. Ni - 1p.) a ene (2 Kara?) «(2 tat) cw) Vatuer Anatas by min kouskilé fregyodtdsy dor tayin \niform medAre Lox gu1 eal - BD ra seee ron -emty SE: wa BO= F Fs>elTe) gayle} Yow Byso +A N>O asp \Yolse 2 Seplgew ls N eS mes, a where 4: 8@ %80 —>® by a ae Sey Rd 9 gate Re ae NED ws alfa) <* a x ors Vers\yy oe \ popes wy ACR 5 “4 [Rw-g tl > 6 Mat ALs4)=0 “By wt org o ” eR kegs By aw = Ron wi nes &) arf: B30 . ACK AY = say Jaw gon) Sy \gentiw | = Pay lek Raga BCS! Fs dg) SAC AIT BUND LeTsA wavy | Ler ger = a se Vac ae) a \ Lorex VQ ioe \ =a Ne ames lg) OR ¥ 49g OH x Remsen, NS PAR ane tonbructss 4-§ @ ceontmnt Em for), \arah > er tinaus Orta} on Tab3 \aegl @ pad 3g er 7 aap Whe “Ql 4? ive AG one fanbd} Nes ly Uagepeates for di to be melee good. ane mec alias Ansns VA nett Mot — CTeyb) ¢ BTarb) & One inded Yyeomtedaled Se eran a9 hee © \ae re QArTarwd mR, HO a tenvinuers foe on tod} ays ds Kee by & Gare AL Wer aeel an. Gs ae as dige clubd -- gl ee ed ’ {ial du t finite. My asst ARID) Ze hy defn fa. ay =e = fru gel =e ‘ial, a Ue lasalece 2 \pgh7ere jaca yrramraertee > Aer ace — Gave FOR Qt 7 \peor bed |= 2 =) \ doy Goole oy alles. | 1am Joba WR by doug Y= \yo- wl, sage = GB) choaty dwg) %° wey & * @) gets We ENS ee Ee Awe em ae A coe wy Mr ts doagyes FY > maa es hor (w@ > \4br bw tee S a ; ogo \yortpiee 2 kwalo = ue he MS a My do gpussell 2 On Y= Rvpwos views 7 dafine Atyy! eae \ dest x= tarry | Muy OX es dato =U, 9 dans (20) = My em onion dew od, Tx 6 Samy to see eek Qed) & @ meee ie xe Cv ies. pee meee from a given mee 13 pean Se * var (¥9) min i, 4 bog) Ss : Osho. ey 4) ron Foevre (tis Cp) est mete 9g &* yy Vgee ally) ayn SH. NogeX, Roenve— ¢ Space. breed noe trot G7 alny? <1 G1 ety) S dO9 MH) eimy) =) Aa qrak @ serslges Ohh We A palportes, ee use, peeve mere on Xe ips” Ror € Usi\\ foltos Bre der Co- ‘peobet 7 ~etauy) 70 aye F Lv AGey? ag we "\ mn! elmyee 2 Si, avwpy=o dep Ae : cae r 3 m3: | coy rote $1) dUmny r= min {1 dd = & yA Va HDB EE | = _¢ OS) ea Lao : 18 ~ Goud ) 38 ~ oe yar (X54) be a MOC poe w doug? = Abnyg) 14 db) sce Oe dae Dahene pixek Swe by Fron a’ Ba mesic on ¥ mi: d' lay) 78 Tes sew y) ze] ar aimee 42 dw) se © dingo Jadey? mH g Ci doa mentent, » dlyyr= ab i a eae a = aUaN? (1) de aware ent) radtay) ja alyrd = Ags) | MA Lek 43 EF. < DCm gt) athe) HERS : Ts dl’ terg)d cnn wy. | On AGS 4 Alagrid 9) - ox&) ~t4 Tran aloug) Fo e ddog)? . -O tenes a! Gay = 4 AG “(3 yadteD q = JG? 4 aly) iw Va db tary) = diam alleaoy) - “Mow we aster jmete di'Gyg) < 1 Vouy @%. AS ! = dloayy = _ dtoy) ZA orale & Ja doy) Examples Uy Lak RaIR , “For wy eie , dx 20.4) or I Vary \ Tn dl Ba meC oni, Soenar fom a ter} mec an R Let Xa f= wr, Pox ery Cobre ds ee > IR by ACay= BAe vary) Te LV eye ®&® QD Sra [reel ei al ot ea ‘ 1a eye] ESR Gwop hs long a 3 L lowe yh bi ze B86 La leyt - ir GS ‘d&uy? ER Nowy Nos we pave he Uasioms 6 Sc ota ee Pseudomebuc . onions Vek X be a mom embhy Seb A rephing At xax DR Xb gosd to a Yseadomeltc on X iL AL \lowtg Ost godrstte By diay ze mney emg, Atay = aly Vayey Pry A toy) < dtag) + AY) VYouysg OY, SreseWe. | Va x2 R™ Dabine dt ea TM) Atwpre oyex Cydly) Pee wey =D Caer= Gy.) oy Lae Wis Converse doesn’) Yokel J ’ Jae %= (0,0) tye om stmen d buy) = \ e7el=O ‘ Rms Abay) = \aayl= ey Aloayy= ao Anes : 4 prey ar ee Pp rtabdawe t A Romane, én rae Al Ree DR by » ALR IQ) = yor gerd an. ‘a Paine son PY, PS 9 TNS Wad Lyerly) ge atgag? & al Phys alto g ) ~ gtnd Wem ws \reo= gor) 4 \ Reon teen) + \hwm gent C gun jan é Jaeger) < \ fren bose etal S anette [rogram & aang Be ate) 4 sys raat Das bad go Ae % Jparado med on Geos Leite ‘sam Pech Pp rea Lowe ver 0 yotes b pen Ae Nile 14 Sequusn cos mayne 3 La (Xd) Be mente gyate « int eee Sap" x. Lin's hyena A seqrance. §) point aa & dared Yy Debon qos etn E22, Maw <& oe Saga And og Se AHH OE > fans @ Sard Foe Dyeven gu Aad aa « “ae _ LE ' Any? co ay Kt 5 ( by m2) a aOra| Ve w= RR A borg de Lowry) oy of CH Tore dead Sinha 1H tem d Gms) = Big ‘at let Langan only) 2. Bev ently ere, Ono tH be’ Akan n) £E Sy Neate R16, Pnpe mM be lan ay~ old eye. we hone 7h \ ae > dtm dean x)" aro tare) es frye a ten” ahh Ge pata Guyty— ot) & ore Qe lot ns et We Saf bow “ig ve _ Convoryen ts MO) seqamede ww i Sait = Pot jal +, Hor eth Ero, Ine dei) <& te Ld eS, ots Sr d(x 5% mee A) \ to dl 2 * > sslirt-ai)= ° . (-¢ jf 9517? 2 die =a" Sy, vf a \ o swan) = re sg 4) = 8 -, tn, xt = wy cdsn, - Hae 2 44s en, » \Alen, Ge YOY ve DQ na bee cat oes Udon 7 eee angem st a , Ree, ee r soy os “8 yeas az Lar 5 xb) aS LOG S42 ee bea Sy tH R She Ln Lois eo) gov ea ch bro, PaaS Je ale = a 4% as é my Wa 3g 0) ys 3) wise . ° tive 1 sc gi! a we e sien aa Ff a id-sl oo Va i -) o . yo) ge wry ro nf . _ \as 2 yaya WI as ero GB oeetetd s L \Gr Ww) oo ae Bee oe VP rwys wa o) lek R= / x= Mp lr) = = + “ : j 5,1 Ga: ) <5 Odin ATE Re b - S Yp do ~ (2 van et), eS ; » ge Siem edp - Roemer inte => $8 Ben? “_e ek cent weak ve be : - mM. J oe SS eats olga ae se yen im Aye) o ( Be << a aero eo A ere | IE px Lag Ege Grr ee on. = ne 2x -m) ae a see - wal eae S ok ‘nz No ‘Noow ME Usk b>). For aro a by ew? Ae NT z {rel ) Ne ” Aw ya) se NNO: Dim A&A, HIRO s wo Tres a . 1 as Xa t Tab) = J g- Lay) 7 ROR w lartinornens Atte Spier by be aun Liyer-gin lam ce TNO 0 Om tn A erase Yn 8 ~ pee anit SAE Seer wr. org aqnseagpnt ) re tony 3 sot Ante 3 io po 7 noe Sh oaxs 1, (a A \ ae Ye <) ioe ester tee Mba? 4 meme te TS AC Snr he )z0 Capri LO \ , \° Auk) = J Usear = he? oa \ : =o

You might also like