A parameter robust numerical method for a singularly perturbed Volterra equation in security technologies
|
|
- Brice Johnson
- 5 years ago
- Views:
Transcription
1 Procdng of 5 WSEAS In. onfrnc on Informon Scry nd Prvcy Vnc Ily ovmbr A prmr rob nmrcl mod for nglrly prrbd Volrr qon n cry cnolog E ZHOGDI In of Mmc Zng Wnl Unvry ngbo 5 P. R. n XI IFEG ompr Scnc nd Informon Tcnology ollg Zng Wnl Unvry ngbo 5 P. R. n Abrc: In ppr w dy convrgnc propr of fn dffrnc cm on Sn m ppld o nglrly prrbd Volrr ngro-dffrnl qon n cry cnolog. W drv pror rror m rob w rpc o prrbon prmr nd prov fn dffrnc cm lmo cond ordr ccr. mrcl rl ppor orcl rl. y-wor: Snglrly prrbd Volrr ngro-dffrnl qon fn dffrnc Sn m nform convrgnc Inrodcon Snglr prrbon problm r n vrl brnc of ngnrng nd ppld mmc wc ncld fld dynmc cry cnolog cmcl rcor ory g poro lcro ory c. To olv yp of problm vro mo r propod n lrr mor dl cn b fond n boo of Frrll l. nd Roo l.. In ppr w condr followng nglrly prrbd Volrr ngro-dffrnl qon n cry cnolog: f I : A wr < << prrbon prmr > f I nd I I r ffcnly moo fncon nd A gvn conn. On png n qon w obn rdcd qon f wc Volrr ngrl qon of cond nd. T olon of bondry lyr.g. 5. T ympoc rcr of olon o qon w mnd by Angll nd Olmd 67. T nmrcl crzon of nglrly prrbd Volrr ngro-dffrnl qon nd Volrr ngrl qon by non p collocon mo n crn non p pc r condrd n Rf.. An ponnlly fd dffrnc cm on nform m cd n Rf. 9. T prn dy dvod o fn dffrnc mod for Volrr ngro-dffrnl qon on Sn m. W fr prn bon for nd drvv. T bon nbl o conrc pcl pcw nform m on wc w cn prov fn dffrnc cm lmo cond-ordr ccr nformly n. Or nly bd on cr compron prncpl rncon rror nly nd ppropr brrr fncon. An o of ppr follow: n con w om propr of c olon. Bd on rl w nrodc Sn m nd fn dffrnc cm n con. In con w nly convrgnc propr of cm. Fnlly nmrcl rl r prnd n con 5. oon. Trogo ppr wll dno gnrc pov conn pobly bcrpd ndpndn of nd of m. o no ncrly m c occrnc. Propr of c olon To conrc lyr-dpd m corrcly crcl o v prc nowldg of ympoc bvor of c olon. mm. T olon of problm f followng bond I.
2 Procdng of 5 WSEAS In. onfrnc on Informon Scry nd Prvcy Vnc Ily ovmbr - 6 Proof. S 9 for proof w nd rgmn wor lo for. nd mlrly for f nd. T Sn m nd fn dffrnc cm In con w crb pcw-nform Sn m nd fn dffrnc cm bd on rpzodl ngron. T conrcon of Sn m bd on bon of c olon nd drvv. λ dno m rnon prmr dfnd by λ mn }. Ampon. W now m mld mpon λ orw ponnlly mll comprd w. W ll lo m rogo ppr gnrlly c n prcc. W dvd c of bnrvl λ nd λ no qn bnrvl. Tn or m λ λ. W dno by nd H m w nd nd od bondry lyr.. H λ. 5 T fn dffrnc cm w prn con of mdpon dffrnc opror nd rpzodl ngron n ppromng Volrr ngrl. Bd on Sn m w propo fn dffrnc cm for problm : 6 f wr A 7 > Anly of cm T nly bd on cr compron prncpl nd brrr fncon cnq nrodcd n. mm. Am H >. 9 Tn opror l dfnd by y y l y y f cr compron prncpl.. f v } nd w } r m fncon fy v w nd l v l w for n v w for ll. Proof. I y o vrfy mr ocd w l n M-mr n proof of mm.. An mmd conqnc of cr compron prncpl followng bly rl. mm. Undr condon 9 olon of dffrnc nl vl problm l y F y B f followng m y B F wr F nondcrng. Proof. Applyng mm o brrr fncon W B F ± y w cn ly g rd rl. For Sn m w v followng rl wll b d lr. mm. Tr conn c d for. Proof. For w v d.
3 For w v. d ombn wo nql o compl proof. T n lmm gv fl forml for rncon rror of rpzodl ngron n ppromng Volrr ngrl. mm 5. For r conn c τ wr gvn by. Proof. T rncon rror of rpzodl ngron n ppromng Volrr ngrl f d τ m d d d d wr w v d Tylor pnon mm nd mpon rnl nd drvv r bondd. To bondd w ll followng nqly b b d g d g } wc ol r for ny pov monoonclly dcrng fncon g on b nd for rbrry. By nqly w v. } d d From nqly nd mm w g rd rl. ow w cn g or mn rl for dffrnc cm. Torm. Undr condon 9 for dffrnc problm 67 w v. Proof. For from 6 nd w v d d f l l } Procdng of 5 WSEAS In. onfrnc on Informon Scry nd Prvcy Vnc Ily ovmbr - 6 9
4 Procdng of 5 WSEAS In. onfrnc on Informon Scry nd Prvcy Vnc Ily ovmbr d d} wr w v lo d Tylor pnon mm 5 nd mpon rnl nd drvv r bondd. Ung cr compron prncpl w v w wr w olon of problm < l w w. From r by vr of mm follow w nd conqnly. Applcon of rcrrnc nqly gv for. T proof of orm compld. 5 mrcl prmn In con w prn wo mpl o llr mod crbd n ppr. Empl. ondr problm f for wr f con c. Empl. ondr problm f for wr f con c n. For or w wc ffcnly mll coc o brng o nglrly prrbd nr of problm. W mr ccrcy n cr mmm norm r of convrgnc r log nd conn n rror m. Tbl mrcl rl for mpl Error R onn Tbl mrcl rl for mpl Error R onn T Tbl nd corrpond o bov mpl rpcvly. T nmrcl rl r clr llron of convrgnc m of Torm. Ty ndc orcl rl r frly rp. Acnowldgmn T wor w ppord by onl rl Scnc Fondon Grn o of n.
5 Procdng of 5 WSEAS In. onfrnc on Informon Scry nd Prvcy Vnc Ily ovmbr Rfrnc: P. A. Frrll A. F. Hgry J. J. H. Mllr E. ORordn nd G. I. Sn Rob omponl Tcnq for Bondry yr pmn & HllR Pr. H.-G. Roo M. Syn nd. Tob mrcl Mo for Snglrly Prrbd Dffrnl Eqon Sprngr Br996. A. S. odg J. B. Mcod J. A. ol A nonr nglrly prrbd Volrr ngrodffrnl qon occrrng n polymr rology Proc. Roy. Soc. Ednbrg Sc. A 97 pp G. S. Jordn A nonr nglrly prrbd Volrr ngrodffrnl qon of nonconvolon yp Proc. Roy. Soc. Ednbrg Sc. A 97 pp G. S. Jordn Som nonr nglrly prrbd Volrr ngro-dffrnl qon n: Volrr Eqon Proc. Hln Sympo. Ingrl Eqon Onm 97 cr o n Mmc Vol. 77 Sprngr Br 979 pp J. S. Angll W. E. Olmd Snglrly prrbd Volrr ngrl qon SIAM J. Appl. M. Vol. 7 o. 97 pp - 7 J. S. Angll W. E. Olmd Snglrly prrbd Volrr ngrl qon II SIAM J. Appl. M. Vol. 7 o pp 5-6. V. Horv M. Rogn Tnon p collocon mo for nglrly prrbd Volrr ngro-dffrnl nd Volrr ngrl qon J. omp. Appl. M. Vol. o. - pp -. 9 G. M. Amrlyv S. Svgn Unform dffrnc mod for nglrly prrbd Volrr ngro-dffrnl qon Appl. M. omp. Vol. 79 o. 6 pp 7-7. M. Syn H. -G. Roo T mdpon pwnd cm Appl. mr. M. Vol. o. 997 pp 6-7. R. B. llogg nd A. Tn Anly of om dffrnc ppromon for rnng pon M. omp. Vol. o. 97 pp d Boor Good ppromon by p w vrbl no n : A. Mr A. Srm E. Sp Fncon nd Appromon Tory Procdng of Sympom ld Unvry of Albr Edmonon My 9-Jn 97 Brär Bl 97.
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 informationGeneralized Half Linear Canonical Transform And Its Properties
Gnrlz Hl Lnr Cnoncl Trnorm An I Propr A S Guh # A V Joh* # Gov Vrh Inu o Scnc n Humn, Amrv M S * Shnkrll Khnlwl Collg, Akol - 444 M S Arc: A gnrlzon o h Frconl Fourr rnorm FRFT, h lnr cnoncl rnorm LCT
More informationLinear System Review. Linear System Review. Descriptions of Linear Systems: 2008 Spring ME854 - GGZ Page 1
8 Sprg ME854 - Z Pg r Sym Rvw r Sym Rvw r Sym Rvw crpo of r Sym: p m R y R R y FT : & U Y Trfr Fco : y or : & : d y d r Sym Rvw orollbly d Obrvbly: fo 3.: FT dymc ym or h pr d o b corollbl f y l > d fl
More informationFL/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 informationA 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 informationCONSTACYCLIC CODES OF LENGTH OVER A FINITE FIELD
Jorl o Algbr Nbr Tory: Ac Alco Vol 5 Nbr 6 Pg 4-64 Albl ://ccc.co. DOI: ://.o.org/.864/_753 ONSTAYLI ODES OF LENGTH OVER A FINITE FIELD AITA SAHNI POONA TRAA SEHGAL r or Ac Sy c Pb Ury gr 64 I -l: 5@gl.co
More informationCIVL 7/ D Boundary Value Problems - Quadrilateral Elements (Q8) 1/9
CIVL / -D Boundry Vlu Problm - Qudrlrl Elmn (Q) /9 EIGH-ODE QUADRILAERRAL ELEMES (Q) h nx n our lmn dvlopmn logcl xnon of h qudrlrl lmn o qudrclly nrpold qudrlrl lmn dfnd by gh nod, four h vrc nd four
More informationIntroduction to Laplace Transforms October 25, 2017
Iroduco o Lplc Trform Ocobr 5, 7 Iroduco o Lplc Trform Lrr ro Mchcl Egrg 5 Smr Egrg l Ocobr 5, 7 Oul Rvw l cl Wh Lplc rform fo of Lplc rform Gg rform b gro Fdg rform d vr rform from bl d horm pplco o dffrl
More informationStatistical Analysis of Environmental Data - Academic Year Prof. Fernando Sansò
Scl nly of nvronmnl D - cdmc r 8-9 Prof. Frnndo Snò XRISS - PR 5 bl of onn Inroducon... xrc (D mprcl covrnc m)...7 xrc (D mprcl covrnc m)... xrc 3 (D mprcl covrnc m)... xrc 4 (D mprcl covrnc m)...3 xrc
More informationcounting statistics in thermal transport in nanojunctions
rs bhvor d fll cog sscs hrml rspor ojcos J-Shg Wg Dp PhysNUS Ol of h lk rodco Mhod of oqlbrm r s fcos Applcos hrml crrs D ch d obs rs problm Fll cog sscs MS workshop Forr s lw for h codco J [ ] f f d Forr
More informationn
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 informationPR 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 informationHYPERBOLIC 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 informationl 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 informationLife Science Journal 2014;11(5s) Evolution of a Helix Curve by observing its velocity
Lf Scnc Journl 4;(5 hp://www.lfcnc.com Evoluon of Hlx Curv by obrvn vlocy Nr H. Abdl-All, H. S. Abdl-Azz, M. A. Abdl-Rzk, A. A. Khll 4, Dprmn of Mhmc, Fculy of Scnc, Au Unvry, Au, Eyp.,4 Dprmn of Mhmc,
More informationx xi r 0. The most popular RBFs are given as follows: IUST International Journal of Engineering Science, Vol. 19, No.5-2, 2008, Page 21-26
IST Iol Jol of Egg S Vol 9 o5-8 Pg -6 O THE MERICAL SOLTIO OF OE IMESIOAL SCHROIGER EQATIO WITH OARY COITIOS IVOLVIG FRACTIOAL IFFERETIAL OPERATORS Jzb & M Mo Ab: I pp w y of olloo mo w Rl Fo o olv o mol
More information22 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 information46 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 informationThe 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 informationD 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 informationCopyright 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 informationH 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 information4 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 informationApproximately Inner Two-parameter C0
urli Jourl of ic d pplid Scic, 5(9: 0-6, 0 ISSN 99-878 pproximly Ir Two-prmr C0 -group of Tor Produc of C -lgr R. zri,. Nikm, M. Hi Dprm of Mmic, Md rc, Ilmic zd Uivriy, P.O.ox 4-975, Md, Ir. rc: I i ppr,
More informationTh 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 informationOn 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 informationVr Vr
F rt l Pr nt t r : xt rn l ppl t n : Pr nt rv nd PD RDT V t : t t : p bl ( ll R lt: 00.00 L n : n L t pd t : 0 6 20 8 :06: 6 pt (p bl Vr.2 8.0 20 8.0. 6 TH N PD PPL T N N RL http : h b. x v t h. p V l
More informationExponential Stability Analysis of a System Comprised of a Robot and its Associated Safety Mechanism
rongs of nnul onfrn of hn nsu of ommunons Eponnl Sbl nlss of Ssm omprs of obo n s sso Sf Mhnsm Whu GUO ng YNG prmn of Mhms n nforms sn Zhngzhou Unvrs of lgh nusr Zhngzhou hn; E-ml: whguosr@hooomn; ngp66@hoon
More information,. *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 informationN V R T F L F RN P BL T N B ll t n f th D p rt nt f l V l., N., pp NDR. L N, d t r T N P F F L T RTL FR R N. B. P. H. Th t t d n t r n h r d r
n r t d n 20 2 04 2 :0 T http: hdl.h ndl.n t 202 dp. 0 02 000 N V R T F L F RN P BL T N B ll t n f th D p rt nt f l V l., N., pp. 2 24. NDR. L N, d t r T N P F F L T RTL FR R N. B. P. H. Th t t d n t r
More informationOH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9
OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at
More informationn 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 informationApproximate Integration. Left and Right Endpoint Rules. Midpoint Rule = 2. Riemann sum (approximation to the integral) Left endpoint approximation
M lculus II Tcqus o Igros: Approm Igro -- pr 8.7 Approm Igro M lculus II Tcqus o Igros: Approm Igro -- pr 8.7 7 L d Rg Edpo Ruls Rm sum ppromo o grl L dpo ppromo Rg dpo ppromo clculus ppls d * L d R d
More informationProblem 1: Consider the following stationary data generation process for a random variable y t. e t ~ N(0,1) i.i.d.
A/CN C m Sr Anal Profor Òcar Jordà Wnr conomc.c. Dav POBLM S SOLIONS Par I Analcal Quon Problm : Condr h followng aonar daa gnraon proc for a random varabl - N..d. wh < and N -. a Oban h populaon man varanc
More informationENJOY ALL OF YOUR SWEET MOMENTS NATURALLY
ENJOY ALL OF YOUR SWEET MOMENTS NATURALLY I T R Fily S U Wi Av I T R Mkr f Sr I T R L L All-Nrl Sr N Yrk, NY (Mr 202) Crl Pki Cr., kr f Sr I T R Svi I T R v x ll-rl I T R fily f r il Av I T R, 00% ri v
More information828.^ 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 informationSCOUT DIRECTOR. %$*r' III uiun yunuinui TONIGHT FOR WORK. Newuk Ctititetut- Admission SO Centg. ef Mlit UHt. Oae Asmsar Riy Pretest Three Ranbtn
? % 9 CRC R C 2 8 [ C C FRNP CRC C C C P F P 6 & x P R R O 8> 8> F 30 C C NGC RN ZON C R P C C O ON RN OOOX P C R C P GR COC R6 C G F R R N P P 5 9 G () 930 8 0 08 FRPRN CRC R C C (G Y P 3 $3 R C C O C
More informationU1. Transient circuits response
U. Tr crcu rpo rcu ly, Grdo Irí d omucco uro 6-7 Phlp Sm phlp.m@uh. Dprmo d Torí d l Sñl y omucco Idx Rcll Gol d movo r dffrl quo Rcll Th homoou oluo d d ordr lr dffrl quo Exmpl of d ordr crcu Il codo
More information4 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 informationA Class of Harmonic Meromorphic Functions of Complex Order
Borg Irol Jourl o D Mg Vol 2 No 2 Ju 22 22 A Clss o rmoc Mromorpc Fucos o Complx Ordr R Elrs KG Surm d TV Sudrs Asrc--- T sml work o Clu d Sl-Smll [3] o rmoc mppgs gv rs o suds o suclsss o complx-vlud
More informationCanonical 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 informationEE Control Systems LECTURE 11
Up: Moy, Ocor 5, 7 EE 434 - Corol Sy LECTUE Copyrigh FL Lwi 999 All righ rrv POLE PLACEMET A STEA-STATE EO Uig fc, o c ov h clo-loop pol o h h y prforc iprov O c lo lc uil copor o oi goo y- rcig y uyig
More informationChapter 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 informationWave 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 informationPage 1 of 1. Original: Trostle, Sharon F. - DEP r> r : / - rv
Ol: l, F. D > : / v F: L Hl [@lll.]?^»«^ :, O, : : @.. RL /jon ' j: q l l l. W l l (l ) l?? ' H l? llv/l ll lv z l l. " L Hl Gvll, // J'j ) ) j ': ' Ol: BWH " R. ^.'H «&**::. *. WL/ jo»«
More informationChapter 1 INTRODUCTION General
Chpr ITRODUCTIO Gnr Th modrn ccon of rngh of mr, n f h r ppd n c of h cc probm of c or pc hor, h cnno b concd who ng h nmrc mhod of compon Th on drc conqnc of h progr obnd n h fd of cronc compr, boh n
More informationLecture 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 informationINDUCTANCE 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 information0 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 informationTHE 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 informationHumanistic, 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 informationĞ 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 informationL...,,...lllM" l)-""" Si_...,...
> 1 122005 14:8 S BF 0tt n FC DRE RE FOR C YER 2004 80?8 P01/ Rc t > uc s cttm tsus H D11) Rqc(tdk ;) wm1111t 4 (d m D m jud: US
More informationUNIVERSAL BOUNDS FOR EIGENVALUES OF FOURTH-ORDER WEIGHTED POLYNOMIAL OPERATOR ON DOMAINS IN COMPLEX PROJECTIVE SPACES
wwwrresscom/volmes/vol7isse/ijrras_7 df UNIVERSAL BOUNDS FOR EIGENVALUES OF FOURTH-ORDER WEIGHTED POLYNOIAL OPERATOR ON DOAINS IN COPLEX PROJECTIVE SPACES D Feng & L Ynl * Scool of emcs nd Pyscs Scence
More informationMat e h a m t c i a lmo e il of a r T a v n er e s e S ar Defor a m t o i k S e h l T ory 2. M T T E si ce e m t n Mo e d sl. 30 www. jier.
rol Jl grg r g J SS : 9-8 Vol- - Oobr l olg Trr fo T Sll Ty Sr OH ZO OH TU br Tr- ol y ly rlr o ploy o r r r rbo l rf opo ll r ro oprg oo T o oo r r by g rlop b f o r pl ll g Hlo prpl rgy T ry l po r o
More informationTABLES AND INFORMATION RETRIEVAL
Ch 9 TABLES AND INFORMATION RETRIEVAL 1. Id: Bkg h lg B 2. Rgl Ay 3. Tbl f V Sh 4. Tbl: A Nw Ab D Ty 5. Al: Rdx S 6. Hhg 7. Aly f Hhg 8. Cl: Cm f Mhd 9. Al: Th Lf Gm Rvd Ol D S d Pgm Dg I C++ T. 1, Ch
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Improvd Epoal Emaor for Populao Varac Ug Two Aular Varabl Rajh gh Dparm of ac,baara Hdu Uvr(U.P., Ida (rgha@ahoo.com Pakaj Chauha ad rmala awa chool of ac, DAVV, Idor (M.P., Ida Flor maradach Dparm of
More informationAnalytical Study of a Special Case of Complex Canonical Transform
lobl Jornl o Mhmcl Scncs: hory n Prccl Volm, Nmbr 3 00, pp 6--70 Inrnonl Rsrch Pblcon Hos hp://wwwrphoscom Anlycl Sy o Spcl Cs o Complx Cnoncl rnsorm PR Dshmkh n AS h Pro Rm Mgh Ins o chnology & Rsrch,
More informationRoot 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 informationMath 266, Practice Midterm Exam 2
Mh 66, Prcic Midrm Exm Nm: Ground Rul. Clculor i NOT llowd.. Show your work for vry problm unl ohrwi d (pril crdi r vilbl). 3. You my u on 4-by-6 indx crd, boh id. 4. Th bl of Lplc rnform i vilbl h l pg.
More information1. Introduction and notations.
Alyi Ar om plii orml or q o ory mr Rol Gro Lyé olyl Roièr, r i lir ill, B 5 837 Tolo Fr Emil : rolgro@orgr W y hr q o ory mr, o ll h o ory polyomil o gi rm om orhogol or h mr Th mi rl i orml mig plii h
More informationMathcad Lecture #4 In-class Worksheet Vectors and Matrices 1 (Basics)
Mh Lr # In-l Workh Vor n Mri (Bi) h n o hi lr, o hol l o: r mri n or in Mh i mri prorm i mri mh oprion ol m o linr qion ing mri mh. Cring Mri Thr r rl o r mri. Th "Inr Mri" Wino (M) B K Poin Rr o
More informationSYMMETRICAL 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 informationTh 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 informationTHE ROSENAU-HYMAN K(2,2) EQUATION
THE ROSEA-HYMA K EATIO. ITRODCTIO Mos of wly non-lnr nd lnr dsprsv quons sudd so fr d solry wvs clld solons r nfn n n []. Wll nown prl dffrnl quons PDEs w solon soluon nclud sn-gordon SG quon cuc non-lnr
More informationQuantum 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 informationDec. 3rd Fall 2012 Dec. 31st Dec. 16th UVC International Jan 6th 2013 Dec. 22nd-Jan 6th VDP Cancun News
Fll 2012 C N P D V Lk Exii Aii Or Bifl Rr! Pri Dk W ri k fr r f rr. Ti iq fr ill fr r ri ir. Ii rlxi ill fl f ir rr r - i i ri r l ll! Or k i l rf fr r r i r x, ri ir i ir l. T i r r Cri r i l ill rr i
More informationA Method for Obtaining the Electric Arc Model Parameters for SF 6 Power Circuit Breakers
rocdngs of h 9h WSEAS/IASME Inrnonl Confrnc on ELECTRIC OWER SYSTEMS HIGH VOLTAGES ELECTRIC MACHINES A Mhod for Obnng h Elcrc Arc Modl rrs for SF 6 owr Crc Brkrs S MAXIMOV V VENEGAS JL GUARDADO E MELGOZA
More informationLabor and Capital Before the Law
University of Michigan Law School University of Michigan Law School Scholarship Repository Articles Faculty Scholarship 1884 Labor and Capital Before the Law Thomas M. Cooley University of Michigan Law
More informationHybrid Motion Blending Algorithm of 3-Axis SCARA Robot using Parametric Interpolation
Hybr Moon Blnng Algorhm of 3-Ax SCARA Robo ung Prmrc Inrpolon Auhor: J Hun Ju Won J Chung K Bom Pr Song Jo L K Sng L School of Mchronc, Chngwon Nonl Unvry Eml: uh87@n.com Tl: +8-55-67-38, Fx: +8-55-63-5
More informationCS 541 Algorithms and Programs. Exam 2 Solutions. Jonathan Turner 11/8/01
CS 1 Algorim nd Progrm Exm Soluion Jonn Turnr 11/8/01 B n nd oni, u ompl. 1. (10 poin). Conidr vrion of or p prolm wi mulipliiv o. In i form of prolm, lng of p i produ of dg lng, rr n um. Explin ow or
More informationP 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 informationChapter4 Time Domain Analysis of Control System
Chpr4 im Domi Alyi of Corol Sym Rouh biliy cririo Sdy rror ri rpo of h fir-ordr ym ri rpo of h cod-ordr ym im domi prformc pcificio h rliohip bw h prformc pcificio d ym prmr ri rpo of highr-ordr ym Dfiiio
More informationExam 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 informationL.3922 M.C. L.3922 M.C. L.2996 M.C. L.3909 M.C. L.5632 M.C. L M.C. L.5632 M.C. L M.C. DRIVE STAR NORTH STAR NORTH NORTH DRIVE
N URY T NORTON PROV N RRONOUS NORTON NVRTNTY PROV. SPY S NY TY OR UT T TY RY OS NOT URNT T S TT T NORTON PROV S ORRT, NSR S POSS, VRY ORT S N ON N T S T TY RY. TS NORTON S N OP RO RORS RT SU "" YW No.
More informationConsider a system of 2 simultaneous first order linear equations
Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm
More informationrhtre PAID U.S. POSTAGE Can't attend? Pass this on to a friend. Cleveland, Ohio Permit No. 799 First Class
rhtr irt Cl.S. POSTAG PAD Cllnd, Ohi Prmit. 799 Cn't ttnd? P thi n t frind. \ ; n l *di: >.8 >,5 G *' >(n n c. if9$9$.jj V G. r.t 0 H: u ) ' r x * H > x > i M
More informationConvergence of Quintic Spline Interpolation
Inrnaonal Journal o ompur Applcaons 97 8887 Volum 7 No., Aprl onvrgnc o Qunc Spln Inrpolaon Y.P. Dub Dparmn O Mamacs, L.N..T. Jabalpur 8 Anl Sukla Dparmn O Mamacs Gan Ganga ollg O Tcnog, Jabalpur 8 ASTRAT
More informationTHIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.
T H S PA G E D E CLA SSFED AW E O 2958 RS u blc Recod Key fo maon Ma n AR MATEREL COMM ND D cumen Type Call N u b e 03 V 7 Rcvd Rel 98 / 0 ndexe D 38 Eneed Dae RS l umbe 0 0 4 2 3 5 6 C D QC d Dac A cesson
More information1- I. M. ALGHROUZ: A New Approach To Fractional Derivatives, J. AOU, V. 10, (2007), pp
Jourl o Al-Qus Op Uvrsy or Rsrch Sus - No.4 - Ocobr 8 Rrcs: - I. M. ALGHROUZ: A Nw Approch To Frcol Drvvs, J. AOU, V., 7, pp. 4-47 - K.S. Mllr: Drvvs o or orr: Mh M., V 68, 995 pp. 83-9. 3- I. PODLUBNY:
More informationNEW FLOODWAY (CLOMR) TE TE PIN: GREENS OF ROCK HILL, LLC DB: 12209, PG: ' S67 46'18"E 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 informationNON-LINEAR ANALYSIS OF PIEZOLAMINATED STRUCTURES
NON-LINER NLYSIS O PIEZOLMINED SRUCURES José Smõs Mo *, Crsóão Mo Sors **, n Crlos Mo Sors ** *Unrs o lgr, Escol Spror cnolog,cmps Pn,8 ro, Porgl ** IDMEC-Inso Engnr Mcânc-Inso Spror écnco,. Rosco Ps,96-
More information1.B Appendix to Chapter 1
Secon.B.B Append o Chper.B. The Ordnr Clcl Here re led ome mporn concep rom he ordnr clcl. The Dervve Conder ncon o one ndependen vrble. The dervve o dened b d d lm lm.b. where he ncremen n de o n ncremen
More information5/1/2018. 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 informationProc. of the 23rd Intl. Conf. on Parallel Processing, St. Charles, Illinois, August 1994, vol. 3, pp. 227{ Hanan Samet
P. 23 Il. C. Plll P, S. Cl, Ill, 1994, vl. 3,. 227{234 1 DT-PRE SPTI JOI GORITHMS Ek G. Hl y Gy Dv B C W, D.C. 20233 H S C S D C R I v C S Uvy Myl Cll Pk, Myl 20742 { E -lll l j l R-, l,. T l l (.., B
More informationBoyce/DiPrima 9 th ed, Ch 7.6: Complex Eigenvalues
BocDPm 9 h d Ch 7.6: Compl Egvlus Elm Dffl Equos d Boud Vlu Poblms 9 h do b Wllm E. Boc d Rchd C. DPm 9 b Joh Wl & Sos Ic. W cosd g homogous ssm of fs od l quos wh cos l coffcs d hus h ssm c b w s ' A
More informationSAMPLE 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 informationI-1. rei. o & A ;l{ o v(l) o t. e 6rf, \o. afl. 6rt {'il l'i. S o S S. l"l. \o a S lrh S \ S s l'l {a ra \o r' tn $ ra S \ S SG{ $ao. \ S l"l. \ (?
>. 1! = * l >'r : ^, : - fr). ;1,!/!i ;(?= f: r*. fl J :!= J; J- >. Vf i - ) CJ ) ṯ,- ( r k : ( l i ( l 9 ) ( ;l fr i) rf,? l i =r, [l CB i.l.!.) -i l.l l.!. * (.1 (..i -.1.! r ).!,l l.r l ( i b i i '9,
More informationCIVL 8/ D Boundary Value Problems - Triangular Elements (T6) 1/8
CIVL 8/7 -D Boundar Valu Problm - rangular Elmn () /8 SI-ODE RIAGULAR ELEMES () A quadracall nrpolad rangular lmn dfnd b nod, hr a h vrc and hr a h mddl a ach d. h mddl nod, dpndng on locaon, ma dfn a
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Rajh gh Dparm of ac,baara Hdu Uvr(U.P.), Ida Pakaj Chauha, rmala awa chool of ac, DAVV, Idor (M.P.), Ida Flor maradach Dparm of Mahmac, Uvr of w Mco, Gallup, UA Improvd Epoal Emaor for Populao Varac Ug
More informationSSSf. 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 informationELECTRONIC SUPPLEMENTARY INFORMATION
Elctronc Supplmntry Mtrl (ESI) or Polymr Cmstry. Ts ournl s T Royl Socty o Cmstry 2015 ELECTRONIC SUPPLEMENTARY INFORMATION Poly(lyln tcont)s An ntrstn clss o polystrs wt proclly loct xo-cn oul ons suscptl
More informationColby 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 informationAPPENDIX F WATER USE SUMMARY
APPENDX F WATER USE SUMMARY From Past Projects Town of Norman Wells Water Storage Facltes Exstng Storage Requrements and Tank Volume Requred Fre Flow 492.5 m 3 See Feb 27/9 letter MACA to Norman Wells
More informationExhibit 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 informationglo 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 informationExterior Building Renovations
xterior Building enovations Fifth treet Henderson, 0 Project : 0-0 ate: J, 0 OPL O L H F O O P L uite 00 outheast hird treet vansville, ndiana 0- :.. F:.. H POJ LOO HH VH OMMOWLH JFF J XH M V OH M FFH
More information106 70/140H-8 70/140H-8
7/H- 6 H 7/H- 7 H ffffff ff ff ff ff ff ff ff ff f f f f f f f f f f f ff f f f H 7/H- 7/H- H φφ φφ φφ φφ! H 1 7/H- 7/H- H 1 f f f f f f f f f f f f f f f f f f f f f f f f f f f f f ff ff ff ff φ φ φ
More informationNonverbal Cues of Dominance Laura van Hooff, Jasmijn Verspaandonk, Nicole van den Reek, Guusje Nagels & Jalou Lemmens
Nvbl C f Dm L v Hff, Jmj Vdk, Nl v d Rk, Gj Nl & Jl Lmm Ab Th m f h d w v h vbl x f dm b hm d whh h w dff bw l d dm T h, h l bhv f f h TV hw Tm Ild w ld Th x vbl bhvl d h h m dm w d, h, l x, fld m, hd
More informationQuantum Harmonic Oscillator
Quu roc Oscllor Quu roc Oscllor 6 Quu Mccs Prof. Y. F. C Quu roc Oscllor Quu roc Oscllor D S..O.:lr rsorg forc F k, k s forc cos & prbolc pol. V k A prcl oscllg roc pol roc pol s u po of sbly sys 6 Quu
More information