Nonhomogeneous Oscillatory Vertically Stratified Flow Between Two Porous Plates

Size: px
Start display at page:

Download "Nonhomogeneous Oscillatory Vertically Stratified Flow Between Two Porous Plates"

Transcription

1 Bonrn Inrnonl Jornl o D Mnn Vol. No. Mr 7 Nonomonos Osllor Vrll Srd Flow Bwn Two Poros Pls L. Prsnn Vnks S. Gns nd K.B. Nd Absr In s r w onsdr Nonomonos osllor low o rll srd ld bwn wo rl oros ls ndd b son nd njon oros wlls. Wn rm work o Bossnsq romon or dns oml solon s obnd sn smlr rnsormon nd nrrd. T l nd rnsrs lo rols nd rssr dsrbons r ld nd llsrd n rs. T rsls rsnd r dd on mor lss o solon S.Gns [8] Rjol [] Wn [] o o w rsnl lbl n lrr. T rsl or l lo obnd r rds o rsl or l lo n s o lmnr low bwn rlll ls (.. wn. Kwords Osllor Srd Flow Dns Dsrbon Sron Prmr Brn Vsl Frqn Bossnsq Aromon Smlr Trnsormon T I. INTRODUCTION HE wo dmnsonl sd s lmnr low n nnls w oros wlls s nmros lons n ros brns o Ennrn nd Tnolo s s bondr lr onrol nd rnsron ooln roblms. I ls n morn rol n sd o roblms w nol dson nomn n lown s srm. Brmn [] ws rs rsrr wo sdd roblm o sd low o n nomrssbl sos ld ro oros nnl w rnlr rossson wn Rnolds nmbr s low. H obnd rrbon solon ssmn norml wll los o b ql. Tn Sllrs [6] ndd roblm sdd b Brmn wn Rnolds nmbr s r. Arwrds Yn [] nd Trll [7] sdd roblm or ros ls o son nd njon Rnolds nmbrs. Trll nd Srs [8] nlsd sm roblm ssmn drn norml los wlls. Drk [6] s onsdrd low o n nomrssbl sos ld n lon nnl o rnlr son d o rod rssr rdn. B [5] s sdd nsd L. Prsnn Vnks Asssn Prossor Drmn o Mms Sbm Unrs Cnn Ind Eml: rsnnlsso@ml.om S. Gns Prossor & Hd Drmn o Mms Sbm Unrs Cnn Ind Eml: sns9@oo.om K.B. Nd Prossor Drmn o Mms Sbm Unrs Cnn Ind Eml: kbnd999@ml.om low o sols Mwll ld w rnsn rssr rdn ro rnlr nnl. Ford Osllon n n nsd srd ld bn onsdrd b mn ors Krsn & Srm [9] Hndrso [9] Ro nd Ro [7] Srm nd Nd [] Nd [5] nd Prsnn Vnks []. B r ll work s bn don on osllons n srd sos ld. W onsdr osllor low o srd ld bwn wo rl oros ls ndd b son nd njon oros wlls wn rm work o Bossnsq romon or dns. II. FORMULATION OF THE PROBLEM T low o n nomrssbl sos ld bwn wo rlll oros ls nd lon dron o s s onsdrd. I s ssmd r s rod njon o lo w lowr l nd rod son o lo w r l wr nd r onsns nd s rqn. Hn lo or ( q nd rssr r osn s ollows. q [ ( ˆ ( ˆj ] w nd P( ( w wr ( nd ( r lo omonns o low lon oordn drons o ( rsl. L nd b oordn s rlll nd rndlr o nnl wlls. Eqon o onn ( Eqon o Inomrssbl or srd nomrssbl low d d Eqon o Moon Hr rrsns on o sos nd dns o ld T dns dsrbon n ndsrbd s s kn s ( ( (5 ( ( ( ISSN Bonrn

2 Bonrn Inrnonl Jornl o D Mnn Vol. No. Mr 8 ISSN Bonrn Wr ( ( (6 s onsn dns ( s lnrl dsrbd ( s rrbon dns sron rmr ( onsn so Brn Vsl rqn N boms N nd Rnold s nmbr s n b υ UL LU L L U R (wr υ Ts s lld soks low wn R s smll R<< low s lld soks low or smll Rnolds s nmbr low or rn low. For Soks low ( nd ( boms (7 (8 (9 W s Bosnsq s romon n nrl rms w mns ( ( Drnn ( nd ( w rs o ( ( Usn (9 n ( ( ( T bondr ondons o roblm r ( ( ( ( Drnn ( Prll w rs o (5 No: Drnn ( Prll w rs o (6 Sbrn (6 rom (5 w (7 W dn Srm Fnon s nd (8 Eqon (7 boms N (9 P ( ( Ψ ( ( ( nd Eqon (9 boms Ψ Ψ N ( T non ( s nrodd s ollows ( b Sllrs [6]: Ψ ( ( Wr nd o s r nrn lo. From Eqon ( ( Ψ Ψ Sbsn bo n qon ( ( D D ( wr D d d. Eqon ( s drnl qon o ordr w onsn on or w solon s n b Alr Eqon m m Soln w m ±

3 Bonrn Inrnonl Jornl o D Mnn Vol. No. Mr 9 m ± m ± α ( wr ± ( α wr ( ( nd Tror Gnrl Solon o qon ( s n b α ( α ( T Bondr Condons r rnsormd n rms o r s ollows ( ( ( nd ( ( ( T rsl obnd b ln bondr ondons on ( r ( (5 ( α α (6 ( α α (7 nd ( α α α α (8 Soln bo qons ls o onsns r s ollows. α α α α( α ( α ( α ( α ( α ( α α α ( α α α α α ( α ( α (9 ( ( ( ( α α ( α ( α Now o sr bo onsns no rl nd mnr rs l s onsdr α α ( α ( α A B (s α nd wr ( ( α α A B ( α ( α ( ( ( ( ( ( ( ( ( os sn ( ( ( ( ( os sn ( ( Sbsn l o ( α α (( os sn n ( srm non s lld. Usn rsson or nd qon (8 lo omonns (( os sn r drmnd. ( os ( sn ( os ( ( sn Tror A B (( os sn (( os sn ( os ( sn ( os ( sn Sbsn bo Vls n Consns w ( ( ( A B A( os os B sn sn A B ( B( os os A sn sn A B R I ( α α α ( A B [( A B os sn ( A B sn os ] A B (( A B sn os ( A B os sn A B R I α ( A B ( Aos Bsn A B A B R I α A ( ( Asn B os B ( R I os sn ( R sn I os R I ( R I ( R I ( R I ( os sn ( R I ( os sn R R R os I sn R os I sn I I R sn I os I os R sn ISSN Bonrn

4 Bonrn Inrnonl Jornl o D Mnn Vol. No. Mr ( ( os ( sn ( ( ( sn ( os ( ( os ( sn ( ( sn ( os ( T rsl obnd rom qons ( ( nd ( r ( ( (5 ( ( (6 B dnon o ol drnon d ( ( III. d d d ( ( d Inrn bo qon rsl obnd s 5 PRESSURE DISTRIBUTION ( d ( ( ( ( ( ( d ( d ( (7 wn r nrn lo s.5. From bo rs s sn mnd o l lo drss s nrss rom o or drn ls o. T Fr rrsns l lo rols o.5 wn nl lo s nrsd o rom.5. I s lrl sn mnds o l lo r mor wn l o nl lo s nrsd o. or. or drn ls o w. I s lso sn n Fr 5 rdl lo π nss or w nd rdl lo rols r nonr or ll lnr or or ls o w. T bo s drn ls o. T Fr 6 rrsns l lo rols drn ls o nml wn r nrn lo s.5. W s rols r rbol or drn ls o. T Fr 7 rrsns rdl lo rol or drn ls o wn w. T Fr 8 rrsns l lo rols or drn ls o wn w nd. Hr lso w s rols r rbol or drn ls o. Fr : Al Vlo Prols or nd o.5 or Drn Vls o 5 ( ( T rbrr onsn 5 s obnd s (8 5 k ( w n sn ( (9 T rssr dro s n b ( ( ( ( d ( IV. RESULTSS AND DISCUSSION T nmrl ls o (dron nd (dron lo rols bn lld or drn ls o nd. I s ssmd nd. Frs nd r l lo rols drn ross sons o nnl nml nd.5 Fr : Al lo Prols or nd o.5 or Drn Vls o ISSN Bonrn

5 Bonrn Inrnonl Jornl o D Mnn Vol. No. Mr V Fr : Al Vlo Prols or nd o.5 or Drn Vls o Fr 7: Trnsrs Vlo Prols or.5 nd nd or Drn Vls o Fr : Al Vlo Prols or nd o. or Drn Vls o Fr 8: Al Vlo Prols or nd wn Fr 5: Trnsrs Vlo Prols or.5 nd or Drn Vls o Fr 6: Al Vlo Prols or.5 nd nd or Drn Vls o V. CONCLUSION In bo nlss lss o solons o Nonomonos Osllor rll srd soks low o sos ld bwn wo rlll oros ls s rsnd wn r ss rbl son or njon wlls. T rsls rsnd r dd on mor lss o solon S. Gns [8] Rjol [] Wn [] o o w rsnl lbl n lrr. T rsl or l lo obnd r rds o rsl or l lo n s o lmnr low bwn rlll ls (.. wn. T o sron s ond n rssr dsrbon. REFERENCES [] E. Abo El D Hrmnn low w norm son nd njon bondn ls MS Tss Hlwn Unrs E 99. [] H.A. A Unsd Hrmnn low w rnsr o sols ld onsdrn Hll E Cndnn J. Ps. R. Cn. Ps. Vol. 8 No. P. 79. [] H.A. A T o son nd njon on nsd low bwn wo rlll ls w rbl rors Tmkn Jornl o Sn nd En. Vol. 8 P ISSN Bonrn

6 Bonrn Inrnonl Jornl o D Mnn Vol. No. Mr [] A.S. Brmn.A.S Lmnr low n nnls w oros wlls J. Al. Ps. Vol. P [5] I.C.B Unsd low o sols Mwll ld w rnsn rssr rdn ro rnlr nnl Ind. J. M. M [6] D. G.Drk On low n nnl d o rod rssr rdn Qr.J. M. Al. M. Vol. 8 P [7] M.C. Hndrso Imlsl srd osllons n ron srd ld J. Fld M. Vol. 8 P [8] S.Krsnmbl nd S. Gns Unsd soks low o sos ld bwn wo rlll oros ls Nonl onrn on Mml Modln nd Anlss (NCMMA BITS Pln C. P.. [9] D.V. Krsn nd L.V.K.V. Srm "Moon o n smmr bod n ron srd ld onnd bwn wo rlll lns J. Fld M. Vol. 8 P [] K.B.Nd Srd ld lows P.D. Tss 97. [] K.B.Nd Srd Vsos Flow bwn wo Oslln Clndrs Indn Jornl o Pr nd Ald Mms Indn Nonl Sn Adm Vol.5 No. P [] R.L. Pnon Inomrssbl low Sond don J. Wl Nwork 996. [] V.S. Ro nd G.V.P. Ro On ws nrd n ron srd lqds b rlln orn s J. Fld M. Vol.6 P [] K.R. Rjol A.Z. Szr C.Y. L Asmmr low bwn rlll ron dsks Jornl o Fld Mns Vol. 6 P. 5. [5] L.V.K.V. Srm nd K.B. Nd Sor n ron srd ld A M. Vol. P [6] J.R.Sllrs Lmnr low n nnls w oros wlls son Rnolds nmbr J.Al.Ps Vol [7] Trrll R.M Lmnr low n norml oros nnl. T Aronl Qrrl 5 P [8] R.M. Trll nd G.M. Srs Lmnr low ro rlll nd norml oros wlls o drn rmbl Zm Vol. 6 P [9] I. Tn Sd moon o lrll ondn nd sos lds n nnls J. Aros s Vol. 9 P [] S.W.Yn Frr nsons o lmnr low n nnls w oros wlls J. l. Ps Vol. 7 P [] M.B.Zrsk P.G. Drzn W.H.H. Bnks On low o sos ld drn lon nnl b son oros wlls Fld Dn. Rs. Vol. P [] C.Y. Wn "E solons o sds Nr Soks qons" Annl Rw o Fld Mns Vol. P [] F.M. W Vsos ld low Sond d. MrwHll omn Nw York 99. L. Prsnn Vnks born Trjrm (Kmbkonm dsr TmlNd INDIA on Jl 979. H dd s ndr rdon B.S (999. nd os rdons M.S (. nd M.Pl (. n Mms n A.M. Jn Coll Mnmbkkm Cnn INDIA. H s rrnl don P.D. n ld o ld dnms Sbm Unrs Cnn INDIA. H s rrnl workn s Ass Prossor D o Mms Sbm Unrs nd s n rn o rs n bo UG nd PG orss. Hs rsn rsr s n r o srd lows. ISSN Bonrn

Vertical Sound Waves

Vertical Sound Waves Vral Sond Wavs On an drv h formla for hs avs by onsdrn drly h vral omonn of momnm qaon hrmodynam qaon and h onny qaon from 5 and hn follon h rrbaon mhod and assmn h snsodal solons. Effvly h frs ro and

More information

( ) ( ) ( ) 0. Conservation of Energy & Poynting Theorem. From Maxwell s equations we have. M t. From above it can be shown (HW)

( ) ( ) ( ) 0. Conservation of Energy & Poynting Theorem. From Maxwell s equations we have. M t. From above it can be shown (HW) 8 Conson o n & Ponn To Fo wll s quons w D B σ σ Fo bo n b sown (W) o s W w bo on o s l us n su su ul ow ns [W/ ] [W] su P su B W W 4 444 s W A A s V A A : W W R o n o so n n: [/s W] W W 4 44 9 W : W F

More information

Oscillations of Hyperbolic Systems with Functional Arguments *

Oscillations of Hyperbolic Systems with Functional Arguments * Avll ://vmd/gs/9/s Vol Iss Dcmr 6 95 Prvosly Vol No Alcons nd Ald mcs AA: An Inrnonl Jornl Asrc Oscllons of Hyrolc Sysms w Fnconl Argmns * Y So Fcly of Engnrng nzw Unvrsy Isw 9-9 Jn E-ml: so@nzw-c Noro

More information

[Let's Do ToPolio What We Did To Tokyo

[Let's Do ToPolio What We Did To Tokyo [L D W W D k /%// / j } b w k w kk w b N b b k z w - k w k k b b b b b w k b k w S b b- K k D R w b k k kk k w w "b b z b bk b w wk w kk w w k b b b b q V /VSRN O R S R SON - H R VL 11 N 11 q HK NONL KONDON

More information

Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ

Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ Ğ Ü Ü Ü ğ ğ ğ Öğ ş öğ ş ğ öğ ö ö ş ğ ğ ö ğ Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ l _.j l L., c :, c Ll Ll, c :r. l., }, l : ö,, Lc L.. c l Ll Lr. 0 c (} >,! l LA l l r r l rl c c.r; (Y ; c cy c r! r! \. L : Ll.,

More information

Copyright A.Milenin, 2017, AGH University of Science and Technology

Copyright A.Milenin, 2017, AGH University of Science and Technology Fn lmn nl for Ml Formng n Mrl ngnrng rof. r h. nż. nr Mlnn G nr of n n hnolog Krów oln -ml: mlnn@gh..l nnoon h fn lmn mho (FM) wl n ml formng n mrl ngnrng. h mho n rom mho h' wh rr h of horl rnng. h followng

More information

Colby College Catalogue

Colby College Catalogue Colby College Digital Commons @ Colby Colby Catalogues College Archives: Colbiana Collection 1872 Colby College Catalogue 1872-1873 Colby College Follow this and additional works at: http://digitalcommonscolbyedu/catalogs

More information

On the Existence and uniqueness for solution of system Fractional Differential Equations

On the Existence and uniqueness for solution of system Fractional Differential Equations OSR Jourl o Mhms OSR-JM SSN: 78-578. Volum 4 ssu 3 Nov. - D. PP -5 www.osrjourls.org O h Es d uquss or soluo o ssm rol Drl Equos Mh Ad Al-Wh Dprm o Appld S Uvrs o holog Bghdd- rq Asr: hs ppr w d horm o

More information

NEW FLOODWAY (CLOMR) TE TE PIN: GREENS OF ROCK HILL, LLC DB: 12209, PG: ' S67 46'18"E APPROX. FLOODWAY NEW BASE FLOOD (CLOMR)

NEW FLOODWAY (CLOMR) TE TE PIN: GREENS OF ROCK HILL, LLC DB: 12209, PG: ' S67 46'18E APPROX. FLOODWAY NEW BASE FLOOD (CLOMR) W LOOWY (LOMR) RVRWLK PKWY ROK HLL, S PPROX. LOOWY W BS LOO (LOMR) lient nformation 4 SS- RM:4 V : PV Pipe V OU: PV Pipe JB SS- RM: V OU: PV Pipe RU R " PV Pipe @. LO SPS OL SSBL GRL ORMO: S OS: M BS LOO

More information

Wave Phenomena Physics 15c

Wave Phenomena Physics 15c Wv hnon hyscs 5c cur 4 Coupl Oscllors! H& con 4. Wh W D s T " u forc oscllon " olv h quon of oon wh frcon n foun h sy-s soluon " Oscllon bcos lr nr h rsonnc frquncy " hs chns fro 0 π/ π s h frquncy ncrss

More information

SHALLOW FLOW STABILITY ANALYSIS WITH APPLICATIONS IN HYDRAULICS

SHALLOW FLOW STABILITY ANALYSIS WITH APPLICATIONS IN HYDRAULICS IG TECHICL IVESITY Fl o Copr Sn nd Inoron Tnolo Ins o ppld Ms II EGLĪTE SHLLOW FLOW STBILITY LYSIS WITH PPLICTIOS I HYDLICS DOCTOL THESIS In prl lln o rqrns o door dr n s Sbld: Ml Modlln Sn Sprsor: Dr..

More information

Colby College Catalogue

Colby College Catalogue Colby College Digital Commons @ Colby Colby Catalogues College Archives: Colbiana Collection 1871 Colby College Catalogue 1871-1872 Colby College Follow this and additional works at: http://digitalcommonscolbyedu/catalogs

More information

A simple 2-D interpolation model for analysis of nonlinear data

A simple 2-D interpolation model for analysis of nonlinear data Vol No - p://oog//n Nl Sn A mpl -D npolon mol o nl o nonln M Zmn Dpmn o Cvl Engnng Fl o nolog n Engnng Yo Unv Yo In; m@ml Rv M ; v Apl ; p M ABSRAC o mnon volm n wg o nonnom o n o po vlon o mnng n o ng

More information

Canonical Quantizing of Spinor Fields: Anti-Commutation Relations

Canonical Quantizing of Spinor Fields: Anti-Commutation Relations JOURNA ON POTONICS AND SPINTRONICS VO.5 NO. MAY 6 ISSN - 857 Prn ISSN - 858 Onln h://www.rrh.org/jornl/j/j.hml Cnonl Qnzng of Snor Fl: An-Common Rlon D. Grn PhD Unvr of Brln* Ar Nw mg of hr nor ro on h

More information

Colby College Catalogue

Colby College Catalogue Colby College Digital Commons @ Colby Colby Catalogues College Archives: Colbiana Collection 1870 Colby College Catalogue 1870-1871 Colby College Follow this and additional works at: http://digitalcommonscolbyedu/catalogs

More information

INDUCTANCE OF A PLUNGER-TYPE ELECTROMAGNET

INDUCTANCE OF A PLUNGER-TYPE ELECTROMAGNET NDUCTANCE OF A PUNGER-TYPE EECTROMAGNET Grgor A. CVDJAN, Aln DOAN, Vor CMOV, Al hsn CANAKOGU * Unvrsy of Crov, Ron, * Dlpnr Unvrsy, Khy, Try ps 5, RO- Crov, Tl: +45/4574, E-l : gvdjn@lh.v.ro Asr n h ppr,

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

THE LOWELL LEDGER. INDEPENDENT-NOT NEUTRAL.

THE LOWELL LEDGER. INDEPENDENT-NOT NEUTRAL. : / LOLL LDGR NDNDNNO NRL VOL X NO 26 LOLL GN RDY DR 902 FV N ONDRFL GRO D x N Y NK LL & O OLD RDN GON ROR NR R «ROY ND R LON N V» Rx Rj K» O ««(» F R G GRLND x ( ) R OF FRND ;«QK L L RNG X R D 02 Q F

More information

Colby College Catalogue

Colby College Catalogue Colby College Digital Commons @ Colby Colby Catalogues College Archives: Colbiana Collection 1866 Colby College Catalogue 1866-1867 Colby College Follow this and additional works at: http://digitalcommons.colby.edu/catalogs

More information

4 4 N v b r t, 20 xpr n f th ll f th p p l t n p pr d. H ndr d nd th nd f t v L th n n f th pr v n f V ln, r dn nd l r thr n nt pr n, h r th ff r d nd

4 4 N v b r t, 20 xpr n f th ll f th p p l t n p pr d. H ndr d nd th nd f t v L th n n f th pr v n f V ln, r dn nd l r thr n nt pr n, h r th ff r d nd n r t d n 20 20 0 : 0 T P bl D n, l d t z d http:.h th tr t. r pd l 4 4 N v b r t, 20 xpr n f th ll f th p p l t n p pr d. H ndr d nd th nd f t v L th n n f th pr v n f V ln, r dn nd l r thr n nt pr n,

More information

M A. L I O E T O W A R D N O N E A. N I D O H A R I T Y F O R A L L. " An Old Timor's DesorSptlon of HI* Camp Outfit. THE DEATH OF M R L A. R. WEEKS.

M A. L I O E T O W A R D N O N E A. N I D O H A R I T Y F O R A L L.  An Old Timor's DesorSptlon of HI* Camp Outfit. THE DEATH OF M R L A. R. WEEKS. J : UO XOW YOU ONY «00 V DVZ WOW R KO L O O W R D N O N N D O R Y O R L L VOL LOWLL KN OUNY NOVR 25 893 NO 22 W L L L K Y O WNR K 0? 0 LOR W Y K YUU U O LO L ND YL LOW R N D R O ND N L O O LL 0R8 D KOR

More information

Appendix. In the absence of default risk, the benefit of the tax shield due to debt financing by the firm is 1 C E C

Appendix. In the absence of default risk, the benefit of the tax shield due to debt financing by the firm is 1 C E C nx. Dvon o h n wh In h sn o ul sk h n o h x shl u o nnng y h m s s h ol ouon s h num o ssus s h oo nom x s h sonl nom x n s h v x on quy whh s wgh vg o vn n l gns x s. In hs s h o sonl nom xs on h x shl

More information

Face Detection and Recognition. Linear Algebra and Face Recognition. Face Recognition. Face Recognition. Dimension reduction

Face Detection and Recognition. Linear Algebra and Face Recognition. Face Recognition. Face Recognition. Dimension reduction F Dtto Roto Lr Alr F Roto C Y I Ursty O solto: tto o l trs s s ys os ot. Dlt to t to ltpl ws. F Roto Aotr ppro: ort y rry s tor o so E.. 56 56 > pot 6556- stol sp A st o s t ps to ollto o pots ts sp. F

More information

l f t n nd bj t nd x f r t l n nd rr n n th b nd p phl t f l br r. D, lv l, 8. h r t,., 8 6. http://hdl.handle.net/2027/miun.aey7382.0001.001 P bl D n http://www.hathitrust.org/access_use#pd Th r n th

More information

Quantum Properties of Idealized GW Detector

Quantum Properties of Idealized GW Detector Qm Prors of Idlzd GW Dor Sg Pyo Km Ks N l Uvrsy Osk Uvrsy J 3 Th 4 h Kor-J Worksho o KAGRA Ol Idlzd Dor for Grvol Wvs Qm Thory for Dsso Wgr Fo of Tm-Dd Osllor Dmd Osllor Drv by Erl Fors Colso Idlzd Dor

More information

In which direction do compass needles always align? Why?

In which direction do compass needles always align? Why? AQA Trloy Unt 6.7 Mntsm n Eltromntsm - Hr 1 Complt t p ll: Mnt or s typ o or n t s stronst t t o t mnt. Tr r two typs o mnt pol: n. Wrt wt woul ppn twn t pols n o t mnt ntrtons low: Drw t mnt l lns on

More information

Divided. diamonds. Mimic the look of facets in a bracelet that s deceptively deep RIGHT-ANGLE WEAVE. designed by Peggy Brinkman Matteliano

Divided. diamonds. Mimic the look of facets in a bracelet that s deceptively deep RIGHT-ANGLE WEAVE. designed by Peggy Brinkman Matteliano RIGHT-ANGLE WEAVE Dv mons Mm t look o ts n rlt tt s ptvly p sn y Py Brnkmn Mttlno Dv your mons nto trnls o two or our olors. FCT-SCON0216_BNB66 2012 Klm Pulsn Co. Ts mtrl my not rprou n ny orm wtout prmsson

More information

4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n tr t d n R th

4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n tr t d n R th n r t d n 20 2 :24 T P bl D n, l d t z d http:.h th tr t. r pd l 4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n

More information

PR D NT N n TR T F R 6 pr l 8 Th Pr d nt Th h t H h n t n, D D r r. Pr d nt: n J n r f th r d t r v th tr t d rn z t n pr r f th n t d t t. n

PR D NT N n TR T F R 6 pr l 8 Th Pr d nt Th h t H h n t n, D D r r. Pr d nt: n J n r f th r d t r v th tr t d rn z t n pr r f th n t d t t. n R P RT F TH PR D NT N N TR T F R N V R T F NN T V D 0 0 : R PR P R JT..P.. D 2 PR L 8 8 J PR D NT N n TR T F R 6 pr l 8 Th Pr d nt Th h t H h n t n, D.. 20 00 D r r. Pr d nt: n J n r f th r d t r v th

More information

FL/VAL ~RA1::1. Professor INTERVI of. Professor It Fr recru. sor Social,, first of all, was. Sys SDC? Yes, as a. was a. assumee.

FL/VAL ~RA1::1. Professor INTERVI of. Professor It Fr recru. sor Social,, first of all, was. Sys SDC? Yes, as a. was a. assumee. B Pror NTERV FL/VAL ~RA1::1 1 21,, 1989 i n or Socil,, fir ll, Pror Fr rcru Sy Ar you lir SDC? Y, om um SM: corr n 'd m vry ummr yr. Now, y n y, f pr my ry for ummr my 1 yr Un So vr ummr cour d rr o l

More information

0 t b r 6, 20 t l nf r nt f th l t th t v t f th th lv, ntr t n t th l l l nd d p rt nt th t f ttr t n th p nt t th r f l nd d tr b t n. R v n n th r

0 t b r 6, 20 t l nf r nt f th l t th t v t f th th lv, ntr t n t th l l l nd d p rt nt th t f ttr t n th p nt t th r f l nd d tr b t n. R v n n th r n r t d n 20 22 0: T P bl D n, l d t z d http:.h th tr t. r pd l 0 t b r 6, 20 t l nf r nt f th l t th t v t f th th lv, ntr t n t th l l l nd d p rt nt th t f ttr t n th p nt t th r f l nd d tr b t n.

More information

SAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy.

SAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy. LTNY OF TH SNTS Cntrs Gnt flwng ( = c. 100) /G Ddd9/F ll Kybrd / hv Ddd9 hv hv Txt 1973, CL. ll rghts rsrvd. Usd wth prmssn. Musc: D. Bckr, b. 1953, 1987, D. Bckr. Publshd by OCP. ll rghts rsrvd. SMPL

More information

5/1/2018. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees

5/1/2018. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees /1/018 W usully no strns y ssnn -lnt os to ll rtrs n t lpt (or mpl, 8-t on n ASCII). Howvr, rnt rtrs our wt rnt rquns, w n sv mmory n ru trnsmttl tm y usn vrl-lnt non. T s to ssn sortr os to rtrs tt our

More information

Erlkönig. t t.! t t. t t t tj "tt. tj t tj ttt!t t. e t Jt e t t t e t Jt

Erlkönig. t t.! t t. t t t tj tt. tj t tj ttt!t t. e t Jt e t t t e t Jt Gsng Po 1 Agio " " lkö (Compl by Rhol Bckr, s Moifi by Mrk S. Zimmr)!! J "! J # " c c " Luwig vn Bhovn WoO 131 (177) I Wr Who!! " J J! 5 ri ris hro' h spä h, I urch J J Nch rk un W Es n wil A J J is f

More information

ADORO TE DEVOTE (Godhead Here in Hiding) te, stus bat mas, la te. in so non mor Je nunc. la in. tis. ne, su a. tum. tas: tur: tas: or: ni, ne, o:

ADORO TE DEVOTE (Godhead Here in Hiding) te, stus bat mas, la te. in so non mor Je nunc. la in. tis. ne, su a. tum. tas: tur: tas: or: ni, ne, o: R TE EVTE (dhd H Hdg) L / Mld Kbrd gú s v l m sl c m qu gs v nns V n P P rs l mul m d lud 7 súb Fí cón ví f f dó, cru gs,, j l f c r s m l qum t pr qud ct, us: ns,,,, cs, cut r l sns m / m fí hó sn sí

More information

22 t b r 2, 20 h r, th xp t d bl n nd t fr th b rd r t t. f r r z r t l n l th h r t rl T l t n b rd n n l h d, nd n nh rd f pp t t f r n. H v v d n f

22 t b r 2, 20 h r, th xp t d bl n nd t fr th b rd r t t. f r r z r t l n l th h r t rl T l t n b rd n n l h d, nd n nh rd f pp t t f r n. H v v d n f n r t d n 20 2 : 6 T P bl D n, l d t z d http:.h th tr t. r pd l 22 t b r 2, 20 h r, th xp t d bl n nd t fr th b rd r t t. f r r z r t l n l th h r t rl T l t n b rd n n l h d, nd n nh rd f pp t t f r

More information

46 D b r 4, 20 : p t n f r n b P l h tr p, pl t z r f r n. nd n th t n t d f t n th tr ht r t b f l n t, nd th ff r n b ttl t th r p rf l pp n nt n th

46 D b r 4, 20 : p t n f r n b P l h tr p, pl t z r f r n. nd n th t n t d f t n th tr ht r t b f l n t, nd th ff r n b ttl t th r p rf l pp n nt n th n r t d n 20 0 : T P bl D n, l d t z d http:.h th tr t. r pd l 46 D b r 4, 20 : p t n f r n b P l h tr p, pl t z r f r n. nd n th t n t d f t n th tr ht r t b f l n t, nd th ff r n b ttl t th r p rf l

More information

n r t d n :4 T P bl D n, l d t z d th tr t. r pd l

n r t d n :4 T P bl D n, l d t z d   th tr t. r pd l n r t d n 20 20 :4 T P bl D n, l d t z d http:.h th tr t. r pd l 2 0 x pt n f t v t, f f d, b th n nd th P r n h h, th r h v n t b n p d f r nt r. Th t v v d pr n, h v r, p n th pl v t r, d b p t r b R

More information

,. *â â > V>V. â ND * 828.

,. *â â > V>V. â ND * 828. BL D,. *â â > V>V Z V L. XX. J N R â J N, 828. LL BL D, D NB R H â ND T. D LL, TR ND, L ND N. * 828. n r t d n 20 2 2 0 : 0 T http: hdl.h ndl.n t 202 dp. 0 02802 68 Th N : l nd r.. N > R, L X. Fn r f,

More information

n

n p l p bl t n t t f Fl r d, D p rt nt f N t r l R r, D v n f nt r r R r, B r f l. n.24 80 T ll h, Fl. : Fl r d D p rt nt f N t r l R r, B r f l, 86. http://hdl.handle.net/2027/mdp.39015007497111 r t v n

More information

w x a f f s t p q 4 r u v 5 i l h m o k j d g DT Competition, 1.8/1.6 Stainless, Black S, M, L, XL Matte Raw/Yellow

w x a f f s t p q 4 r u v 5 i l h m o k j d g DT Competition, 1.8/1.6 Stainless, Black S, M, L, XL Matte Raw/Yellow HELION CARBON TEAM S, M, L, XL M R/Y COR XC Py, FOC U Cn F, 110 T Innn Dn 27. AOS Snn Sy /F Ln, P, 1 1/8"-1 1/2" In H T, n 12 12 M D F 32 FLOAT 27. CTD FIT /A K, 110 T, 1QR, / FIT D, L & Rn A, T Ay S DEVICE

More information

828.^ 2 F r, Br n, nd t h. n, v n lth h th n l nd h d n r d t n v l l n th f v r x t p th l ft. n ll n n n f lt ll th t p n nt r f d pp nt nt nd, th t

828.^ 2 F r, Br n, nd t h. n, v n lth h th n l nd h d n r d t n v l l n th f v r x t p th l ft. n ll n n n f lt ll th t p n nt r f d pp nt nt nd, th t 2Â F b. Th h ph rd l nd r. l X. TH H PH RD L ND R. L X. F r, Br n, nd t h. B th ttr h ph rd. n th l f p t r l l nd, t t d t, n n t n, nt r rl r th n th n r l t f th f th th r l, nd d r b t t f nn r r pr

More information

INF5820 MT 26 OCT 2012

INF5820 MT 26 OCT 2012 INF582 MT 26 OCT 22 H22 Jn Tor Lønnng l@.uo.no Tody Ssl hn rnslon: Th nosy hnnl odl Word-bsd IBM odl Trnng SMT xpl En o lgd n r d bygg..9 h.6 d.3.9 rgh.9 wh.4 buldng.45 oo.3 rd.25 srgh.7 by.3 onsruon.33

More information

A general N-dimensional vector consists of N values. They can be arranged as a column or a row and can be real or complex.

A general N-dimensional vector consists of N values. They can be arranged as a column or a row and can be real or complex. Lnr lgr Vctors gnrl -dmnsonl ctor conssts of lus h cn rrngd s column or row nd cn rl or compl Rcll -dmnsonl ctor cn rprsnt poston, loct, or cclrton Lt & k,, unt ctors long,, & rspctl nd lt k h th componnts

More information

A Study of the Solutions of the Lotka Volterra. Prey Predator System Using Perturbation. Technique

A Study of the Solutions of the Lotka Volterra. Prey Predator System Using Perturbation. Technique Inrnionl hmil orum no. 667-67 Sud of h Soluions of h o Volrr r rdor Ssm Using rurion Thniqu D.Vnu ol Ro * D. of lid hmis IT Collg of Sin IT Univrsi Vishnm.. Indi Y... Thorni D. of lid hmis IT Collg of

More information

D t r l f r th n t d t t pr p r d b th t ff f th l t tt n N tr t n nd H n N d, n t d t t n t. n t d t t. h n t n :.. vt. Pr nt. ff.,. http://hdl.handle.net/2027/uiug.30112023368936 P bl D n, l d t z d

More information

Adrian Sfarti University of California, 387 Soda Hall, UC Berkeley, California, USA

Adrian Sfarti University of California, 387 Soda Hall, UC Berkeley, California, USA Innionl Jonl of Phoonis n Oil Thnolo Vol. 3 Iss. : 36-4 Jn 7 Rliisi Dnis n lonis in Unifol l n in Unifol Roin s-th Gnl ssions fo h loni 4-Vo Ponil in Sfi Unisi of Clifoni 387 So Hll UC Bkl Clifoni US s@ll.n

More information

The Mathematics of Harmonic Oscillators

The Mathematics of Harmonic Oscillators Th Mhcs of Hronc Oscllors Spl Hronc Moon In h cs of on-nsonl spl hronc oon (SHM nvolvng sprng wh sprng consn n wh no frcon, you rv h quon of oon usng Nwon's scon lw: con wh gvs: 0 Ths s sos wrn usng h

More information

The University of Sydney MATH 2009

The University of Sydney MATH 2009 T Unvrsty o Syny MATH 2009 APH THEOY Tutorl 7 Solutons 2004 1. Lt t sonnt plnr rp sown. Drw ts ul, n t ul o t ul ( ). Sow tt s sonnt plnr rp, tn s onnt. Du tt ( ) s not somorp to. ( ) A onnt rp s on n

More information

Applications of semi-markov processes in reliability

Applications of semi-markov processes in reliability rbk Alco o m-mrko roc rlbl - TA # 3-4 7 Dcmbr - Scl I rbk rczk Nl Ur d old Alco o m-mrko roc rlbl Kword m-mrko roc rlbl rdom lr r cold db m wh rr Abrc Th bc do d horm rom h m-mrko roc hor r dcd h r Th

More information

Diode-pump. Introduction into mathematics needed for calculus of the diodepump. 1. Introduction

Diode-pump. Introduction into mathematics needed for calculus of the diodepump. 1. Introduction Dod-m Inrodon no mhms ndd for lls of h dodm. Inrodon Th dod-m s rndd n nsgnfn-sml lron r, whh only onsss of 5 omonns, h oml dsron, wh rlly s n ll dls, s long sory. I go g mnng n h 96 s n h rdon-hyss, whr

More information

Th n nt T p n n th V ll f x Th r h l l r r h nd xpl r t n rr d nt ff t b Pr f r ll N v n d r n th r 8 l t p t, n z n l n n th n rth t rn p rt n f th v

Th n nt T p n n th V ll f x Th r h l l r r h nd xpl r t n rr d nt ff t b Pr f r ll N v n d r n th r 8 l t p t, n z n l n n th n rth t rn p rt n f th v Th n nt T p n n th V ll f x Th r h l l r r h nd xpl r t n rr d nt ff t b Pr f r ll N v n d r n th r 8 l t p t, n z n l n n th n rth t rn p rt n f th v ll f x, h v nd d pr v n t fr tf l t th f nt r n r

More information

SSSf. 2 Were Killed' RepresentnUvesrl

SSSf. 2 Were Killed' RepresentnUvesrl 5 5 5 $ FORONWO R F W F R R R x & $ % F 5) = 96 W D D F W 2 W R x W R W W Nx z W 50 YNO OF N O ) ORD OF FRODR 000 [ N Y R F D N 2 9 W & O N Y R R 50 O 0 R D 5& x8 R [ W R D 49 9 q O D R Q F R 500000 &

More information

Handout on. Crystal Symmetries and Energy Bands

Handout on. Crystal Symmetries and Energy Bands dou o Csl s d g Bds I hs lu ou wll l: Th loshp bw ss d g bds h bs of sp-ob ouplg Th loshp bw ss d g bds h ps of sp-ob ouplg C 7 pg 9 Fh Coll Uvs d g Bds gll hs oh Th sl pol ss ddo o h l slo s: Fo pl h

More information

Root behavior in fall and spring planted roses...

Root behavior in fall and spring planted roses... Rerospecive Theses and Disseraions Iowa Sae Universiy Capsones, Theses and Disseraions 1-1-1949 Roo behavior in fall and spring planed roses... Griffih J. Buck Iowa Sae College Follow his and addiional

More information

H NT Z N RT L 0 4 n f lt r h v d lt n r n, h p l," "Fl d nd fl d " ( n l d n l tr l t nt r t t n t nt t nt n fr n nl, th t l n r tr t nt. r d n f d rd n t th nd r nt r d t n th t th n r lth h v b n f

More information

Acogemos, Señor, Tu Mensaje De Amor/ Embrace And Echo Your Word

Acogemos, Señor, Tu Mensaje De Amor/ Embrace And Echo Your Word 2 Pi Acogmos, Sñor, Tu Mnsj Amor/ Embrc And Echo r Word 1997 Los Angs Rigio Educon ongss dicd with dmiron r. E Rndr ESTROFAS/VERSES: Sopr/Bjo ontrl/ Tr.. Tn Tn Tn Tn Mn Mn Mn Mn INTRO: Upt Lt ( = c. 114)

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

The 14 th World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China

The 14 th World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China AN EXPICI FINIE EEEN EHOD FOR DYNAIC ANAYSIS IN FID SARAED POROS EDIA CONSIDERING HE COPING ASS * Chnggng Zho h lng Dong Xdong Zhng School o Cvl Engnrng nd Archcr Bng Joong nvrsy Bng Eml: cgzho@b.d.cn

More information

Humanistic, and Particularly Classical, Studies as a Preparation for the Law

Humanistic, and Particularly Classical, Studies as a Preparation for the Law University of Michigan Law School University of Michigan Law School Scholarship Repository Articles Faculty Scholarship 1907 Humanistic, and Particularly Classical, Studies as a Preparation for the Law

More information

STA6E NO, LR. Council DeIegote Iouncit Seol. Dqte / / Re-centif. IounciI Delegote Iouncil Seol. Dqie. Sl-oging. This is noi o sionpd subdivision

STA6E NO, LR. Council DeIegote Iouncit Seol. Dqte / / Re-centif. IounciI Delegote Iouncil Seol. Dqie. Sl-oging. This is noi o sionpd subdivision S6, LR PL SBDVS ue ny D Pn umber PS5 4627 Lcqn Ln Pr PHLLP SLD 0WS wnp Secn rwn [[men 15(P, 16 & 17 rwn P e Reerence L Pn Reerence L PS524867K P re c me ubvn MG e n nnnv n n n n pn v01.1028 0L.85 SLM RD

More information

Th pr nt n f r n th f ft nth nt r b R b rt Pr t r. Pr t r, R b rt, b. 868. xf rd : Pr nt d f r th B bl r ph l t t th xf rd n v r t Pr, 00. http://hdl.handle.net/2027/nyp.33433006349173 P bl D n n th n

More information

Introduction to Inertial Dynamics

Introduction to Inertial Dynamics nouon o nl Dn Rz S Jon Hokn Unv Lu no on uon of oon of ul-jon oo o onl W n? A on of o fo ng on ul n oon of. ou n El: A ll of l off goun. fo ng on ll fo of gv: f-g g9.8 /. f o ll, n : f g / f g 9.8.9 El:

More information

P a g e 3 6 of R e p o r t P B 4 / 0 9

P a g e 3 6 of R e p o r t P B 4 / 0 9 P a g e 3 6 of R e p o r t P B 4 / 0 9 p r o t e c t h um a n h e a l t h a n d p r o p e r t y fr om t h e d a n g e rs i n h e r e n t i n m i n i n g o p e r a t i o n s s u c h a s a q u a r r y. J

More information

Advanced Queueing Theory. M/G/1 Queueing Systems

Advanced Queueing Theory. M/G/1 Queueing Systems Advand Quung Thory Ths slds ar rad by Dr. Yh Huang of Gorg Mason Unvrsy. Sudns rgsrd n Dr. Huang's ourss a GMU an ma a sngl mahn-radabl opy and prn a sngl opy of ah sld for hr own rfrn, so long as ah sld

More information

T_s. e r So Dg. R a n. Ri de. The h o u r s for the tour and»adi\ idual r e s i d e n c e s, thus pro- r o n.

T_s. e r So Dg. R a n. Ri de. The h o u r s for the tour and»adi\ idual r e s i d e n c e s, thus pro- r o n. W V M N O Nx W O V! W O N O N - Y O N N VL N 25 M 4 946 M L O M 946 z z U J V- D J q V- J K W M Lj W L j N 5 J 946 J W O W W L j O M 6 W x 72 W W L j M 3 W Lj 9?45 J N \ 2 945 2470 O 200 W O L j Q W! W

More information

COMP 250. Lecture 29. graph traversal. Nov. 15/16, 2017

COMP 250. Lecture 29. graph traversal. Nov. 15/16, 2017 COMP 250 Ltur 29 rp trvrsl Nov. 15/16, 2017 1 Toy Rursv rp trvrsl pt rst Non-rursv rp trvrsl pt rst rt rst 2 Hs up! Tr wr w mstks n t sls or S. 001 or toy s ltur. So you r ollown t ltur rorns n usn ts

More information

I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o

I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o u l d a l w a y s b e t a k e n, i n c l u d f o l

More information

176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s

176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s A g la di ou s F. L. 462 E l ec tr on ic D ev el op me nt A i ng er A.W.S. 371 C. A. M. A l ex an de r 236 A d mi ni st ra ti on R. H. (M rs ) A n dr ew s P. V. 326 O p ti ca l Tr an sm is si on A p ps

More information

LA PRISE DE CALAIS. çoys, çoys, har - dis. çoys, dis. tons, mantz, tons, Gas. c est. à ce. C est à ce. coup, c est à ce

LA PRISE DE CALAIS. çoys, çoys, har - dis. çoys, dis. tons, mantz, tons, Gas. c est. à ce. C est à ce. coup, c est à ce > ƒ? @ Z [ \ _ ' µ `. l 1 2 3 z Æ Ñ 6 = Ð l sl (~131 1606) rn % & +, l r s s, r 7 nr ss r r s s s, r s, r! " # $ s s ( ) r * s, / 0 s, r 4 r r 9;: < 10 r mnz, rz, r ns, 1 s ; j;k ns, q r s { } ~ l r mnz,

More information

Let's revisit conditional probability, where the event M is expressed in terms of the random variable. P Ax x x = =

Let's revisit conditional probability, where the event M is expressed in terms of the random variable. P Ax x x = = L's rvs codol rol whr h v M s rssd rs o h rdo vrl. L { M } rrr v such h { M } Assu. { } { A M} { A { } } M < { } { } A u { } { } { A} { A} ( A) ( A) { A} A A { A } hs llows us o cosdr h cs wh M { } [ (

More information

Chapter 5 Transient Analysis

Chapter 5 Transient Analysis hpr 5 rs Alyss Jsug Jg ompl rspos rs rspos y-s rspos m os rs orr co orr Dffrl Equo. rs Alyss h ffrc of lyss of crcus wh rgy sorg lms (ucors or cpcors) & m-ryg sgls wh rss crcus s h h quos rsulg from r

More information

Single Correct Type. cos z + k, then the value of k equals. dx = 2 dz. (a) 1 (b) 0 (c)1 (d) 2 (code-v2t3paq10) l (c) ( l ) x.

Single Correct Type. cos z + k, then the value of k equals. dx = 2 dz. (a) 1 (b) 0 (c)1 (d) 2 (code-v2t3paq10) l (c) ( l ) x. IIT JEE/AIEEE MATHS y SUHAAG SIR Bhopl, Ph. (755)3 www.kolsss.om Qusion. & Soluion. In. Cl. Pg: of 6 TOPIC = INTEGRAL CALCULUS Singl Corr Typ 3 3 3 Qu.. L f () = sin + sin + + sin + hn h primiiv of f()

More information

P a g e 5 1 of R e p o r t P B 4 / 0 9

P a g e 5 1 of R e p o r t P B 4 / 0 9 P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e

More information

Exhibit 2-9/30/15 Invoice Filing Page 1841 of Page 3660 Docket No

Exhibit 2-9/30/15 Invoice Filing Page 1841 of Page 3660 Docket No xhibit 2-9/3/15 Invie Filing Pge 1841 f Pge 366 Dket. 44498 F u v 7? u ' 1 L ffi s xs L. s 91 S'.e q ; t w W yn S. s t = p '1 F? 5! 4 ` p V -', {} f6 3 j v > ; gl. li -. " F LL tfi = g us J 3 y 4 @" V)

More information

" W I T H M A L I C E T O W A - P t D N O I S T E A - I S T D O H A n i T Y F O R. A L L. " A TENDERFOOT. an awful storm." At this juncture,

 W I T H M A L I C E T O W A - P t D N O I S T E A - I S T D O H A n i T Y F O R. A L L.  A TENDERFOOT. an awful storm. At this juncture, v «> X k < W L W - P N - Y F R L L / L N LWLL N UNY PR 9 WL N - [N v v NRF N -Nv j k q v v k k v k Rk x - v N W k - WLL PN NG NV k Rk G v Y L v k (?)! V W k ) W k v k P UL W Pj$ V G k v -) v k W j v k

More information

I N A C O M P L E X W O R L D

I N A C O M P L E X W O R L D IS L A M I C E C O N O M I C S I N A C O M P L E X W O R L D E x p l o r a t i o n s i n A g-b eanste d S i m u l a t i o n S a m i A l-s u w a i l e m 1 4 2 9 H 2 0 0 8 I s l a m i c D e v e l o p m e

More information

Executive Committee and Officers ( )

Executive Committee and Officers ( ) Gifted and Talented International V o l u m e 2 4, N u m b e r 2, D e c e m b e r, 2 0 0 9. G i f t e d a n d T a l e n t e d I n t e r n a t i o n a2 l 4 ( 2), D e c e m b e r, 2 0 0 9. 1 T h e W o r

More information

HYPERBOLIC ALTERNATING VIRTUAL LINK GROUPS

HYPERBOLIC ALTERNATING VIRTUAL LINK GROUPS HYPEROLIC ALERNAING VIRUAL LINK GROUPS JENS HARLANDER A. W y opoloy n omy of l lnk omplmn n op. W o op fn y Wn pnon of n pm n lnn l lnk CA(0) n ypol. MSC: 57M05, 57M50, 20F65, 20F67. Ky o: Alnn l kno,

More information

Luiz Leal Oak Ridge National Laboratory. of Massachusetts Institute. of Technology (MIT)

Luiz Leal Oak Ridge National Laboratory. of Massachusetts Institute. of Technology (MIT) LzLl OkRdgNlLby LsPsdhNl Egg Dp f h MsshssIs f Thlgy(MIT) Csy f Lz Ll, Ok Rdg Nl Lby. Usd wh pss. NI T Idpd Tsp Eq f Φ(E,,Ωˆ ) Ωˆ. Φ + Σ Φ = dωˆ ' de'σ s (E' E, Ωˆ ' Ω)Φ(E', ',Ωˆ ) + S 4 π 0 Σ Msplsss

More information

Engine Thrust. From momentum conservation

Engine Thrust. From momentum conservation Airbrhing Propulsion -1 Airbrhing School o Arospc Enginring Propulsion Ovrviw w will b xmining numbr o irbrhing propulsion sysms rmjs, urbojs, urbons, urboprops Prormnc prmrs o compr hm, usul o din som

More information

Beginning and Ending Cash and Investment Balances for the month of January 2016

Beginning and Ending Cash and Investment Balances for the month of January 2016 ADIISTRATIVE STAFF REPRT T yr nd Tn uncil rch 15 216 SBJET Jnury 216 nth End Tresurer s Reprt BAKGRD The lifrni Gvernment de nd the Tn f Dnville s Investment Plicy require tht reprt specifying the investment

More information

GEORGE F. JOWETT. HOLDER -of NUMEROUS DIPLOMAS and GOLD. MEDALS for ACTUAL MERIT

GEORGE F. JOWETT. HOLDER -of NUMEROUS DIPLOMAS and GOLD. MEDALS for ACTUAL MERIT GEORGE F OWE ANADAS SRONGES AHLEE HOLDER of NUMEROUS DPLOMAS nd GOLD MEDALS for AUAL MER AUHOR LEURER AND REOGNZED AUHORY ON PHYSAL EDUAON NKERMAN ONARO ANADA P : 6 23 D:::r P ul lv:; j"3: t your ltr t:

More information

elnpol^l SSJU (tl = N) gnot

elnpol^l SSJU (tl = N) gnot ZZ'Uap 66-' S fbul - alnph lluuur!^u SSf, psnu '6 ajns ' l/mu) l,u l fuan 's 'b rll ' p9 'z p6 ua ' "'s pr.u6lu rna u! 6url6ll l4s a11 ap]sap na plnm'6lu l bulm ll psnu aln5 11r1/vu) l,u lusl ll l p usal

More information

h : sh +i F J a n W i m +i F D eh, 1 ; 5 i A cl m i n i sh» si N «q a : 1? ek ser P t r \. e a & im a n alaa p ( M Scanned by CamScanner

h : sh +i F J a n W i m +i F D eh, 1 ; 5 i A cl m i n i sh» si N «q a : 1? ek ser P t r \. e a & im a n alaa p ( M Scanned by CamScanner m m i s t r * j i ega>x I Bi 5 n ì r s w «s m I L nk r n A F o n n l 5 o 5 i n l D eh 1 ; 5 i A cl m i n i sh» si N «q a : 1? { D v i H R o s c q \ l o o m ( t 9 8 6) im a n alaa p ( M n h k Em l A ma

More information

35H MPa Hydraulic Cylinder 3.5 MPa Hydraulic Cylinder 35H-3

35H MPa Hydraulic Cylinder 3.5 MPa Hydraulic Cylinder 35H-3 - - - - ff ff - - - - - - B B BB f f f f f f f 6 96 f f f f f f f 6 f LF LZ f 6 MM f 9 P D RR DD M6 M6 M6 M. M. M. M. M. SL. E 6 6 9 ZB Z EE RC/ RC/ RC/ RC/ RC/ ZM 6 F FP 6 K KK M. M. M. M. M M M M f f

More information

Mill Ashman Writes Home: rivalry Keeping Him Busy. Septet

Mill Ashman Writes Home: rivalry Keeping Him Busy. Septet SE COLLEGE NEWS FRDY SEEBER 22 96 GE 8 + + O S B Cb S G S B Y C B WEELER B Lb < S F? E G K B b b L 62 R C 62 - b Bb Bb K B 63 W S C S S - b C S b - S W 8 C S C B C DR 62 - S Lb S D C O D S 62 -B b - R

More information

glo beau bid point full man branch last ior s all for ap Sav tree tree God length per down ev the fect your er Cm7 a a our

glo beau bid point full man branch last ior s all for ap Sav tree tree God length per down ev the fect your er Cm7 a a our SING, MY TONGU, TH SAVIOR S GLORY mj7 Mlod Kbd fr nd S would tm flsh s D nd d tn s drw t crd S, Fth t So Th L lss m ful wn dd t, Fs4 F wd; v, snr, t; ngh, t: lod; t; tgu, now Chrst, h O d t bnd Sv God

More information

Multi-Team Prey-Predator Model with Delay

Multi-Team Prey-Predator Model with Delay h S L o 5-5 l-tm y-o ol h Dly Shn ly n F ly hms Dpmn Fly of Sn Kng Khl Unsy h 9 S hms Dpmn Fly of Sn l-h Unsy ss 75 gyp hms Dpmn Fly of Sn nso Unsy nso 55 gyp ml's shhly7@yhooom mohfhy@mnsg R Jn ; Rs y

More information

SYMMETRICAL COMPONENTS

SYMMETRICAL COMPONENTS SYMMETRCA COMPONENTS Syl oponn llow ph un of volg n un o pl y h p ln yl oponn Con h ph ln oponn wh Engy Convon o 4 o o wh o, 4 o, 6 o Engy Convon SYMMETRCA COMPONENTS Dfn h opo wh o Th o of pho : pov ph

More information

3.4 Repeated Roots; Reduction of Order

3.4 Repeated Roots; Reduction of Order 3.4 Rpd Roos; Rducion of Ordr Rcll our nd ordr linr homognous ODE b c 0 whr, b nd c r consns. Assuming n xponnil soluion lds o chrcrisic quion: r r br c 0 Qudric formul or fcoring ilds wo soluions, r &

More information

Exam 2 Solutions. Jonathan Turner 4/2/2012. CS 542 Advanced Data Structures and Algorithms

Exam 2 Solutions. Jonathan Turner 4/2/2012. CS 542 Advanced Data Structures and Algorithms CS 542 Avn Dt Stutu n Alotm Exm 2 Soluton Jontn Tun 4/2/202. (5 ont) Con n oton on t tton t tutu n w t n t 2 no. Wt t mllt num o no tt t tton t tutu oul ontn. Exln you nw. Sn n mut n you o u t n t, t n

More information

d. Event D = { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR, SSL, SRS, SLS, RSS, LSS }

d. Event D = { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR, SSL, SRS, SLS, RSS, LSS } Section 1 a Event A { RRR, LLL, SSS } b Event B { RLS, RSL, LRS, LSR, SRL, SLR } c Event C { RRL, RRS, RLR, RSR, LRR, SRR } d Event D { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR,

More information

Lecture 20: Minimum Spanning Trees (CLRS 23)

Lecture 20: Minimum Spanning Trees (CLRS 23) Ltur 0: Mnmum Spnnn Trs (CLRS 3) Jun, 00 Grps Lst tm w n (wt) rps (unrt/rt) n ntrou s rp voulry (vrtx,, r, pt, onnt omponnts,... ) W lso suss jny lst n jny mtrx rprsntton W wll us jny lst rprsntton unlss

More information

A Review of Dynamic Models Used in Simulation of Gear Transmissions

A Review of Dynamic Models Used in Simulation of Gear Transmissions ANALELE UNIVERSITĂłII ETIMIE MURGU REŞIłA ANUL XXI NR. ISSN 5-797 Zol-Ios Ko Io-ol Mulu A Rvw o ls Us Sulo o G Tsssos Th vsgo o lv s lu gg g olg l us o sov sg u o pps g svl s oug o h ps. Th pupos o h ols

More information

ELECTROMAGNETISM, NUCLEAR STRUCTURES & GRAVITATION

ELECTROMAGNETISM, NUCLEAR STRUCTURES & GRAVITATION . l & a s s Vo Flds o as l axwll a l sla () l Fld () l olasao () a Flx s () a Fld () a do () ad è s ( ). F wo Sala Flds s b dd l a s ( ) ad oool a s ( ) a oal o 4 qaos 3 aabls - w o Lal osas - oz abo Lal-Sd

More information

9.5 Complex variables

9.5 Complex variables 9.5 Cmpl varabls. Cnsdr th funtn u v f( ) whr ( ) ( ), f( ), fr ths funtn tw statmnts ar as fllws: Statmnt : f( ) satsf Cauh mann quatn at th rgn. Statmnt : f ( ) ds nt st Th rrt statmnt ar (A) nl (B)

More information

Improving Union. Implementation. Union-by-size Code. Union-by-Size Find Analysis. Path Compression! Improving Find find(e)

Improving Union. Implementation. Union-by-size Code. Union-by-Size Find Analysis. Path Compression! Improving Find find(e) POW CSE 36: Dt Struturs Top #10 T Dynm (Equvln) Duo: Unon-y-Sz & Pt Comprsson Wk!! Luk MDowll Summr Qurtr 003 M! ZING Wt s Goo Mz? Mz Construton lortm Gvn: ollton o rooms V Conntons twn t rooms (ntlly

More information

TRASH ENCLOSURE WITH SOLID GATE 4 STORY BUSINESS / RESIDENTIAL BUILDING CONTAINING 2 BUSINESS SPACES AND 6 DWELLING UNITS 6' - 0"

TRASH ENCLOSURE WITH SOLID GATE 4 STORY BUSINESS / RESIDENTIAL BUILDING CONTAINING 2 BUSINESS SPACES AND 6 DWELLING UNITS 6' - 0 NSN N. PUN WY R. P 0. SG S 4 SRY USNSS / RSN UNG NNNG USNSS SPS N 6 WNG UNS RS NSUR W S G.. RSRV PRKNG $50 N SGN RV S (7) UR PRKNG SPS ' - PRPRY N M N, YP PU Y SG RNGS S GNR NS 6" G UR rchitecture nteriors

More information

CMSC 451: Lecture 4 Bridges and 2-Edge Connectivity Thursday, Sep 7, 2017

CMSC 451: Lecture 4 Bridges and 2-Edge Connectivity Thursday, Sep 7, 2017 Rn: Not ovr n or rns. CMSC 451: Ltr 4 Brs n 2-E Conntvty Trsy, Sp 7, 2017 Hr-Orr Grp Conntvty: (T ollown mtrl ppls only to nrt rps!) Lt G = (V, E) n onnt nrt rp. W otn ssm tt or rps r onnt, t somtms t

More information