0% found this document useful (0 votes)
15 views26 pages

Maths

The document contains a series of equations and calculations related to PDE (Partial Differential Equations) and their applications. It discusses various mathematical concepts and methodologies, including adjustments and interpretations of variables. The text appears to be fragmented and includes references to scanning and formatting issues.

Uploaded by

soumyabiradar20
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)
15 views26 pages

Maths

The document contains a series of equations and calculations related to PDE (Partial Differential Equations) and their applications. It discusses various mathematical concepts and methodologies, including adjustments and interpretations of variables. The text appears to be fragmented and includes references to scanning and formatting issues.

Uploaded by

soumyabiradar20
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/ 26
Data Unit fovrtial_diyjvantia) equatierd sateoctuction 16 POE PDE Snwelee tne phous (Fevnatuon (Gi) Sotatirn (ii) sntepratation Mol |e z= [(ns) ze pootiu Aajjusntial operates org Sz a gt wOefinilor Jn eq® (nwedAng Hu oe MOL portal duo vot Of p foren 4 suao ox “Ae vox (olu ia (oud poouar aiguantal 1 (10€) - Su 7 eu +0 > wid 2 OTE oe Oy 4 Ber eu BAM = 1 dagen = + Gxdak = Tha OAC oo PDE is du erdan 6] lughist | dbaivobiet past in (q” hat su MEM Jadkiel ang fe erly an | a Over CULL LEW Lier os te yy wo Te + (Gey so aes wae 4 ae 22 gd ss Sa) FF ; t divans p00 I : PPE A 085 Sn UE Linsos 4] I Af Yost Aagpn ante E fapenetn vesiovte ad a I on not id 18g) Formation 4 IDE: supe “el by dsminoting quiidaray uvatand ahs ops Gt hag ee Ths G6q OAL btu, Choa gf ore ducwiatvt prank in the Taal Deby Gmuiating axvsors) purcuow! ey Foumnatuen of ¢0L dey tvanatng cousin y coral, S] Be quem famuens Yo st am, {oy 2,0,4),,=° yo To juniiion YAY Scanned with CamScanner rants we agro grb ont ROMER at a ty FOAL ay” nome ww postal oe Le [ein postin) agpantin ("Sh awe gr pe oe postiatky wt y ae la pz)z0 uf ods po hed des BE) ROA te vou tee ag rare vasiotle beens ap20 Hot ) spa ames F eabitany DOL ip Jao the we of acpendand vartavlw oat 04.) tae eC nud ae find POS! Ord fortral Aasivativd D yam 0 9] iu We Seeley mo oy postiad dani 9 2=[Oy) 2 y faz) +(2 + 8) +( BETA GTS pq us the seqQUR LOL ext 1 aE ae sesh em ast at (i) ze (ew) (Yr) ea dab 2 = (Fy +e) ay A" O poutintys w aauidony LUO OH AAAS 3g, rduat varios, LX Ad O}y vows of 20rd E NEGAD Chay neduen S| PTO VOALOLL a 1c kapiag y touteat 2 foising notations Lal be Ud sree = 2 raz tad k Pog ge gh AE tS rp pou, wit y Bary ERO A= a2 PZ 2 ay(re=4 —C a8 oe ae Bop oo deal wun yar o ay Sam ats Joint Ayr? by Ainunating Berson () 2 ont byr ak Able = Zo MA rby sal <—~ O Huu the ne. of aibitaty wnuttants i Lqutl Y om] tndipendint voxiabiu. dence wt whed Le fe foul exdur portiat dutwalive : siesta, © fowtiatty vat to.% duping y pata Hucetipuy pq = day (4 O)(yT ED py = Wyz [pom] eo ned St ORCL IDE ‘Scanned wih CamScanner Scanned with CamScanner Be. q- 224 an =u, 75,8) ary ree ee enrty OS =0 ay OMOAE an g otant ah parry Pe o poatiodly wrt y at 1 unuton! Begeea ai postouny wt * PL = HzO 2. 9H HC 2 ape Pet te mprdyu- ay 2= arr Watery «zhst oO be = nle-g axviiday wmutants (3) 4 voarats (2) Hung es at : radup edn ay @ you ww Zitat sera cot Bette A @ dt abeyrrzti1 —O catiainy wrt y aby @ partially ust» a bt CF ae rams y Shh “iy orb pata an ay [ 7 ape a) pen@. peared peated ¢ a+ % t%&-=9 —@ p= bs Bay as p-2ey or ee 99 “oye diy] © pastialy vst y ham As sbi ‘yy 12 2-0 ay et q ut 23270 -—-@ Scanned with CamScanner em ©. ca, 222-0 78 a oF duit” @ un @ + ope aah ave, - 92) eae =o oat BS diving bs by % fox) *]a + *5Ee ° ze2 + (2) aie | Siu 0 POL Au Rem cALitory vonutant wegen ous fay mutod lan @ 50 wir ts Sx d thon testes on Le uniting =i J ante byte cz = 1 = as OALILOXY Urmston ANL% G Indhpurduel vas (oi Oe ee vy seve) 0 gay] 4” @_postauy om for +c 12(2)) +0 —@ iq, ("© porbatyy ust Yy aby + © 2e(H) = o-®@ ayy a" © parratiy we sax c]® ae 2 zy x0 ayy” a” @ ea oe oor [a ‘ayen se Faom © a see TS age a 6 qaom © wa = +2 (22)t— © asom © and @ “BY eS . ey HE) ] Scanned with CamScanner feo 2 00 Ey a te at pease fHeyy —O a= afiegnlu-d- e tog (-] 1 a facgh + tegly)— 40g(I-1)] +o une ostitaay elon & Andifundied various, ‘ trot aay ONES at yp an day @ fost ut y Bu 2 wie +o] 4 yA wom ® ea =qly-!) P41) = q(y-0) Paap = qy-9 Lp 44 . BG i) eOPIEMm Ake partial djl’ eq ele jane TST iy VRP ks pont o] 10 Fut bowing tops ava Seah tae plas Ay eee ao queen UAL A gy inawepy it osb eq? © ketomey Mau test za jue weg) OABHEASY Cmstants © Hed Jetepeadent vastus ay 86 1 o—é a ay] @ hastiausy 4 4] =@ Lo pat eacey POL y 8] out aphuws shee a 3) Kind Ms (DE of te | o ond Haw & Urvatoud Cunt iy on the plone 7 Sodiand Je = Tv werdinaty a] wba, o a1 (0)b,0) ushet a and ond x Jy du cevutant radius seh af apa 7 Crea 4(y-byitz ee 78 a soyee GOT utuatiy rs Scanned with CamScanner No 8] fads pn dens VWeathen po af cet Pavwrnacturn of ft goo HE ant am | appt 8 fer : oat? §Z | Gyan we ove do fir r yay) arco BoC ond wat abt sertisoss postal dinvat gee) 722z =0 ep da de oe 1OC Sy whineinabing asd 20 -@ a by furdups graye te SE poe say Wirninating dalstory Jando yj 4" @ postrouy ws 9 aya) +22 2E =O emery 4. 22h eo ty-0)+ FRE =o @ taem ©. raga —e es 7 nm tem ©. Weieerrar 7 ay Autttieuttag ateye valu in 1g O (eazy (Ry eeee t Fez) « @yr pes Adour pede Scanned with CamScanner 0 ee 2) —6 ye egy y © ait © posrady om 2 pe etl ( pasmatly ust y 4a a? 6 pasiatly rt Y qe ee yt ay (4 +s) ) cs G sequ) —@ eaye L 1G + 4 nom ©» op (d aay ip As Rusty ss @ ys oy Ee and q- . vey 7 iy, 0 postiety wot 9 qy = 2yt-Pe te Bhs gps oglu) —@ as : ay © pactally 9h y | 4 ge = pete) —@ 4 iy PS portiay wt ot E yo i Scanned with CamScanner wee ag 8 Fy otk egies ay © poomesyeh 4d LO oS Be gs ate yor Fe © aut © pasta alah ayee r3ach 74 gi try> Lat ay © pastialy we t a 1 q- abs POH) +91 cl PEL le cpcaectvagy co) WS agen 9 . q'(y) > qh) - 4 Auvstitutng (10) 6 9'(Q) 4 @ ¢+ Pes pea) + af) yar y 7b se Any = pee gey) 444 yl) any = apeyg — Laypoyer gen) Any = ap ayy t be [se eg-a—-O oy) OD powtatty sat 1 7 yorraeet + gia-ayee) Ses pepe a [pO - gir] = Ps ~ Dangers flrayret Ay, O foutiauy wet» aes yo yee) Oa lepe porta yen aay eq @ Partiauly ast y pe Bee peraytart) Oye? ‘BY mysr24)-e lege pee tytee? Scanned with CamScanner acts ONO nop BS ay ereg ep 2 wezh qe Ute gepy eaquaal = 2e70* 4x1 92h ya purege Matt ya py bqe Ae ates, pey-2)eq(a-8) = 4 ia [@DBe De wy | Remark Tre 1DE vevuaponding Fo fue” Cus), Ute wand v CAL furwehions ef y.2 ts of Ae BOM Hh + Gq =k slice is Knew oF daqronge!'s a9? wshu 10, € = atwvd © alu? ,g- plu .@ = 1%) te ep 9 Se 30.8) aquvd «| Acro) Fm %y g-aluvd = | au (ays vs a Forget? fo» DF (vy ee ~~ Genapase ib wh 60 “ Than Wsuspevdin P+ Gq Hoar wb dependunt cud 619 @=aiuv) = D124) Phe atye) R= au, aly | > plu). uu 3 w oa » Dw OY yay oo ruta eyo raysZ)o th Amuso wyae g FADE da dn th poten gh f jz Qa indupeedind : Scanned with CamScanner —= " \ rere joustien OL 1 ™ jouure Vo) 04D a daND¥i0% Eyal Bed indaptudsed an ie aD - Wu anwe PDE, ow Spay | in ths [Ot dud ds 4u op obt iy cunpondiog tt as ' | 1 bey ! : ) m | UE) doviver of dan gror : f= atu = beans a ate) fay ae ere a | wy actatior of for dnp the muted g atywotien F vee | i sal § = 2tuvd met 7 Es) aguuten oj POL Any Aue Sruegeavtan ate) gpa | = ta Pg ost ernundee IDES ethic roan ae seu oath atiquatien wutleed Lett of ha anlat : 7 1 fowsltinte of Caligholery, wer wat aidan fundin ee dud = : gti vosunbl batd umutout atquy) ey . few ow “pounwing Pye 's ee UY BR FIER, nyo ia ") Fou toe I inainaivg OAL ai piataye yeaa sategpatiog @ wAt% dep pend] : 2 ars 1 JM ]eort ty mt GOO" 2 -y aes pe] eonttond aattqpacting © vost y WATS ” 2s sogy (HE) + ery afetye 9) Scanned with CamScanner yy eg aay + Fy) 190 Te 22 2 ts OU a ](y).9 49(4) yo Gr ey = HED Supe ; qua so natal Jot” 1G %E OL Lovie, nego @ w a kuping & wvuians (qua ae 8h of gh? = msn ss) + patient yt. yy + {ha)+ gly) +400 eae ° FIT EENT AFT? &0)] > 2UF a as arian PES eeeaii Eee whe lyr= S44) & @CN™ $94) sega O yosta Kuefng y Lovato! a = aby +) —o OQ By = CNET given that WEE wolunt=o arth and whan =D segue © walks Rupi4g y wnstans zen ot AY mye ete =O aa lt . te © Ul 7 AuRping 4 lero’ ds Be quad Ant” dnugeate © ying au = etme) TO Dd 2 = w(t sy) anny in klrad BL = 0 Whi =O 4 Ou a] HAR wry kites dango D AL a Kuaping y b= oF yay wre REY wows tar @ ion a au aetiut —.@ 3t Jetegrels @ woet kuping y Scanned with CamScanner renga @ ott aping 9 Voratand Sad Go wl be su plod ay ts Py 2 kt go) —o nv Ody Gur™ a Me Vos Wd Urvatoud wing wo siun tO pd 2 [pura gin ane — © o: -sint * ga) ar aint =et acquod 6 piven det whan veo, 7. gem @ be [O, ayy © wre + az ain 4 gtv)eert > © ¥ 4 M2 ee aro ees 32 at s) 2a de, aw Le ve wiig 28 at wher o in & usu 2 isd jusetion o| 0 alent az 42:0 —-O ea é (gye'y prnne =O seh Pde jwatituting vabarr of [tay hag ee O Bre oor ald punitary (AO Bhet=o SE Ee TE re Te tiwasainn | eaqpaud JastTator Jol” 2) Pe 22 geen that whan Y= ay? zeetg 8 — a2 -7=0 —O ay payuune Zi 0 [Ur Of Y alone thot ge PoE Accu fo ope Bz 9-270 —-8 anda? Scanned with CamScanner } wre Raping eowitat eqns i vt grenge o “hae tg) ue ng we owen t= 0 wit o- -sid +g) gin: aint =e fqn © emu gin HA sina (ie) give thal 20,2201 2 4 5) 22 +720 a Loe funn za function | -% alent a2 4220 —O a (prepa 20 whe De F funitary 7A phate o A cemparnundany ©]unvion (UF) 2 dt zee, +6; tink) 22 wite a bub 2a luc ay = _ - =p Al td- ae Daa EO 5 WAN AEpLOE oy Abt 2 auc ANY (eM ap Ae Vasiowtt Lull Unutont bed 7 [lyr WI gly) ina — E Toe segundo 9] A piv Anat WU F052 taom @ le pO, ay” © ws a pz. Muy ainn 4 gly ot ' ving 22 2) ular THO tT © BF Ris oor ayy (qty= sy buvitirating vatser of [fM) f chwis + aina | faquinnd Jastioues Jol” gyre © Pe oz gun tha whin yo oy? wee dzee? — atz-2=0 —O ays Aavune TH 0 [uc Gy atoms unn poe Acciuwu fo opt #2 4-2-7070 ody! hut Scanned with CamScanner poh (ROG dutty way wd ee of i ze ze gets et 78 fut 2 29 face of toe variably 98 4 pupae cy and GY puerto VALALL Haig conuant ze pwoelrsgMe’—@ aa wang yee g2eee © eh orgy 7® @ yortoby we y er ayer gaye 7O ay = eA tM YO & 22 ete qa) pading O& 60 ere eat) we git) = sins paustinae volun an @ Phe Ga oP be dongeong's unto up ! torus Po Be : 3 Err POR a pumehon Oy He han deciitary Ps ant Hany hee fx rmithed daesit clct 1tt of Leen! wtidy after vaing GPO. we gu da - dy = dz — Jd mdyant 1 @ Ine mG = OF Woe chee Lien in such a te aPemgs nk =o 5) Ldas may + ndz =0 3 Apron dntqiating @ que fee Fesepenaied Arlutions ust, And vetr- tothe tomplt aol" a Scanned with CamScanner Fu pues un pseu Ata_flleuing OE oy ah age ey) — spetq ee TT compa at wAW TYE Gack per. gee ce Pe dunitoay eye Ost sore = Gear an eoty 2 Oe > 8 ds ody - A = Say AT ywrgnere ae tig vette aot Compu 20 claws FUETY ym P +4 = compase pre. Purlary ey reek bog (2 Oy IT neg (22+ CYT) = A with ty (PHM +0 2 08 tedipe wu Flu) ved dag (22+ Gry!) =e 52 +4an(y-37) Tp 6428 23, R= S2t sanly-7) 6 detetag em mt find factions as dd > adi edy xe Sreugrate y= BETO Us wry 3b a dy = dz 5 Szetancr Bho It ond 314 poution! = dz Br tants Scanned with CamScanner a ta cy eee cg (sedan Fe + ‘tog (97 * danty3)) FO eo lec | hay?" ve eb dog [524 10004 = pet we ategte nt ec, be I dndapudind 2” oS a ; guend nagenaiat arooiing 174 Aut of yuttiptn Yo 27! ch poweptet ast! con | the > xl lee wees flaw = FYE ala rtanlyalpy y-2t eye PS way Bee fa yerar d oS = yom erdy dn Comapane tg” actly tp da =F 7 D peyra ge atde = yr pean arr entioay ea"s (iy) - 42 =0 May = oe graegsai ay 2 26> yrat FY? atey Ne aye? Gp te te ged Judapusdual Lot? jpautiow wae) I Cermapiste 400" Ls c(atayast, By D=0 (We Const chest yo daeoit weuLepl tueciing wuulpliny -- sb? da > Oe 2 36 gem aye PP (a0 monussien J eens ©) } 2 ada — yy rede 0 wot gu 1a ~ yoy eed = eu d= fw cateyte 27) bree 77s Lompos sth tp + Ga = & pe w-yr-77, B= 2Y* Away qn a. hy = OE ? e - duc G2 2 euie eaytaee Scanned with CamScanner oy hee Attyreet ; rem 26> paien a fy = nts ytucsaed a “ht. Pa andy ye we ye hoge(at sgh 2 tg sdialan . 40g 6) ~ Aege (ate yr ee?) = bog co tog,y = hoggt ¢ £94e°! vone [aie | © hea c2 Hedy 209 ¢8% 109,8C1 a “ an tog, (GL) = Agee ange * ou ve re 26. ay 299 saftndond 401" tes ety de Wh indipurdid aol” mgs 400" ao i \=0] dn 2 Oye dee dyes oe peyt-2e DAY Bom 25 4 aes frortion it An sy dy 2d Dae ail, yor @) car Suz) pe Lyra = = Adaaydby+2d2 = Gepou we ginn MOE usth cer bolé a apate® : Poses = das ydyeede suniioy e's atta OT Hy ¥2*) Scanned with CamScanner - A el 10 One Pane 3 * came gy = dt Ay aha an PM Mytyeay teed ECO) ~ Ghee de - tansy dyer 7 4 Tyg 1Py ya alae _ dy ea) = disdysde § nly WNP TAR Pay | az ft dn - < —fusde | adn tye zd? —___— > das dyed 3 qe Dur rtes) | TyaGhyt rR aryer) raya dn aay dz | dn ryt wade = Mente ae oS 2 ~yytatyt2) (y-2) (yt 44) ee f i : = diy-de rides + yon edt = Cory AL =) 4-4) wa pete wee Ge od Pea age = +t ann = en 5e oe ye Deg? at (ay tte O 4G Date y -2yr- 7H = 24 ateytee? —avhay 2G 0g os . = C1 any age ee vewytyrredt oes 1" rs Se ong lee Jv? Fly) F(a) EY? Scanned with CamScanner —, i gp tqpodt 20Un ids oft 247 de a Urrewcn Unrated y 2, 9 aty-2) p ty(2-H) a= 2O-Y) TD at(ye DPT LEMS B*O-V) D atyrerr) PVE IA =2Oas a) (reat) Pt TUWY2—4)=0 5) ube bt be = sae Lat) souuhony PDE by sat wuthod of Seperation, vywaply Pt ny “PeopucT muthod Mor AW Deundery valu Protliny Aivelorng Hannay f PDE CON We setwedl Ly muuited Je Suvebv abt solution wobuch 4plr PABA ay eg, inl Oldlinaky dif|® ers ges WhIUr dare Crist 0 swathed [AO Tpergany etd a tw cl Late FY) Lond y Ou undpundint variably and eis dipundind vauiabk in a given PDE f IUIM 2 = edie XY ye dle 4 MDE whi, X BO {Wel Labo apna! mkot ~Y alent dibilttuy 2 -7Y oy ha ® gam Aur ordinaiy dip atc * EU Ak [UO gx Onda a | a) ‘+ I 41 w and y Bn TE KY whit we ise Ksquiued sol” Wee) VE MULKOM of wah. (ilu da Van and rut JH X Ody Sang 40s Ube por sayy Attu aby apsunas [K Xor8y oor Aepuraiuen of varity dy so oweuny Pde ) 2 3 2E = 2terye ay > 8 =2atrwy)e —O Saar 4 pau 7 = xf de ala sel" of D whe Xo yb auntie z= x4 in © AX ax ay L + y ae gi = ale Coady 2 tay) + BOND = ata OT a9 Aw vorial , AQueasi Age yt +O yu of a alent geen of y- atone Ae ond Junction oY ouna ith | Scanned with CamScanner eee re a 40 usmumon Let ee oa eM HD? ing = AFP HCI wc ett | oy! euiigatte jupitivae Hu dn 224) be cette) (et RD, earthy ci Ce > dus? wr —O at at gysunte w= XT bE ME AD” TB 6 pundiire of § —atent puviritae us xT tn eq’ © “a (a) = 220m) + OKT CT ove Tak =e 2K AT + XT an at Arpocaniong du vassiobtus divudi by XT 14s age Ap a common conutant Kk equating Toke Zatlers * on T dx ek Scanned with CamScanner wo gu 228 ty when y . YP apa eds 6 EFF Crypto rete ete Tehke X= Le @ furcken of 2-7 alent u = aaee 1 us xT Wen Hepiee) ue POC t rit ttt? use te aS) F] ums e @ ee dy te Gena gol” whut C= & wig u(aod = be “un O ceMece™ comparing we gt 3 @® veo a utt= 6&7 bau, UW = 30 ae * bt win bo, ux Bert Sel dt 4 dusty 23u—0 ae on Alwuniing y= OxT whan g— 1 O Jur’ oh, TH doa pur of a Aututituls Us xT in a? 4 On) +o) « “| t _ uo ” wa + 7 dx sam ‘ang alt vaxiablu Sep iid ay 8 ot y Lae = 3 4+ x aa dk +8 wate Qo" | | | | | tquoting 29 0 commen mutant kK | | Snead. dog,% = B-K)T A ae ee We xT dtm we (ere CR) GeOTEEe ct Juctsye ce oat ge Sati Scanned with CamScanner n ear Caw be voritte Ar@ Can canny EE tuts ty = CRAB & be chang URUE J Wovuloat) (ace ean ey | ee ute af ag —e¢ aig uta.e)in © neaetteh GOL, Beton pemponing A= -1= 3-8 nea B=-!, wr ya ¥ duc? op talons ym yur of y ole p> (KY) — 2 BUCKY) PCy) = on? kaa a4 ae dx + x BY 0 “a” ak oy Aperating Yr variably dividing by 4 4 ate - a dey Lad co + Gat Ga” ay ppond exdin ot) (p> -20-F)x=0 Scanned with CamScanner pie 2d-B 0 BH me—2M-F =O At Reo ON ds a sy uae 2 D= 12 fitF pe itiak & 0= ISTE Hou xesti ox wadand dufinct * Cenapunvuntary fut” os haut ak Be called qa camapttnvetatty PCLT z = eb PEE OAD HS =[t CONT, 6g STEAD oc TY aquata io 0 Cre eee we Peede ane” ~o Ant” JQ ss zm M im — aoe (a lr FENY (, (tl We, rye) wh ds [uch vale KO ie “urn hy oon ye ZO) + VY 2BO 0 at yryak + wx ay at ay ay @ tapuating ae vouReby dards oy xy Scanned with CamScanner a Ng ee ee aa! " Glee AD find Aka vibrations | Uae so # wei) ee) ae pajuiion yl at ovay pours ond ze(es 7 4 Aipmy Siew 2 WE deat oviain, ale fq! Ua ie oe fa oir et™ fpeation yer a dang panes Unk poUousrg —wut caus ae) (¢ eer) hak vibtotien Joke place twlialy in say lows z-=(e ep eau pesull of, Lid dbing teow SP 38 i ena! NE aquilinum petition of oj tht 2Mg 7c ze fp tea abung 2 fespietly verted, [tune anc crete aounie or AuULand ay forcing ohast CP se a ibsyahuen o| Abting WON egy aL. ee a Peewider ‘ am sanijeum Uoic sing of tngth ss Figetly vwan ewe fous Cand A ans Csflous io prom ; aM Aled OA Jnring 004 Aigin, ohas a-aa prepordewlar Ling Hurough 03 08 A yaa wweavodt jd Des Bo duplawnunk y be a a ord Ju 4 Lindayvtad quanhtoner ere) Syptons aud planorcde toayuword to sus ond push Mpa fee cus wD wodight o| ttakieg qv) Tha sug perfery svat Jha teruorT in Ua tbung L te Losg shal nls ucted eanvat vibtatiox Gn a veeduol plane 0, Losey porsieal of the TRING MEV SAEctLy vudbual 40 Hhod thu ctuplocemimt Yo and ilu Alpe DU at eay foie a Par dering OMe twwedt Ap aie thus haghus ows zon tt nagucad Bk a Jot UL vias PUL wai angus of He omndiy Lar MOLE ok wEIOLeN AL IK Alamo Pg of du 45. Sina Ue abkuig detun Ob Saskane uuting » dw awe Ty and Ta Od Pond G ora Longurtiol Lo dit UU dine AbLing -meve votiaaly, Alawa 4 no mastion 6s WUralion dn ds Werujental Abe ier. Hane the Scanned with CamScanner oj te danse Wut a pacrgendal tennpentedt ay p< Hulton =T—()" pixeetien + webot foe 4. eh eempeued Fe wa (ra és) a Band beth aida YT ding - Tin x | més 34 Tz ainp — Tiling + Be wrdany ne arn t whin + Toes: piu = Ta TAK Chem tena 1 e ne a“ Initial vewdabevs Ot = jon 99 lf ft) wren 170 ct ae 7 w 2u run 420 oR + wat franb [& Buse whe ny = 2 [ew sere e+ ds (Dae [ost 7 Se all os tap ans tint Hapa fing do * 6a due qu aburg and Atetu the peat aed ron Scanned with CamScanner ue Des WY _— woh 7 ; Mek gj watasal aus o Pps, BH as Mag TY Tiles) gre ‘eacton's taut) wt tht Navin, ator | nad boclatoetingee's My sraolione ca’ motion 3 ete Og Gy Fe saunter 8 vay aw anand dn Aurel of Pe 4 dy ng Vi ys n muir sa eee > quuien and Te is the iene Lowe mur eghs bicaune Ely dy eatvarioy ect in far a4 6 asa, pea Macrae shungs Like veletely » atta, eu pacutiony fut ywasuat Foenvation af | Houturnariial meocltd | Tp maduniatial mec! La watamorral diy). | Bet Caton ty want a] A HU HCO CH) cg | sen (ee i East aly | poputaees spud & faung abt, comunity a produc ain dhuntoal stacy, sv Lt Gp, G9 parton ab eth helo The espe of modu odo undated He flcnon gud patkapy #6 MO PAUTCHON Ch prtuss ben ule NY f farwe bet osien © tngrauring and plupical probing "acseaye | Notumatical we AppAnLi ection | Cid awumpon | J ‘Jounulation 6 o's 4 frmalyticad & ul 1 Fra main diffuanu bU aintuhon of aU qenutin 8 pGate pulling somltaurg opens butte a a perce pulling cpa en tha ends of a sepe Sot gpk taliatals Fuuten dn puutlay, pacblars Peer AO wORE GenUal Ham applaging Ht pooling paling en somtitiing il Scanned with CamScanner

You might also like