ISSN: ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT) Volume 4, Issue 10, April 2015
|
|
- Allyson Golden
- 5 years ago
- Views:
Transcription
1 Enrg onvrsaon aw n h r moshr or omrssl lows.. alva.. Issakov Pos-ocoral sarchr a h Unvrsé o orran aoraor Enrgéq E chnq nrq EM Nanc ranc. aakh Naonal chncal Unvrs ar.saav lma aakhsan srac hs ar s rsn nrg convrsaon law n h r amoshr or comrssl lows gvn h ach rolm or h hr mnsonal Navr-Soks qaons wh olr connos cocns n h arsan coorna ssm. Usng h aramr mho o hor nonlnar aral rnal qaons wr oan h vloc comonns o h ransn comrssl low whch rov a scron o h consv rlaonshs wn hr hscal qans: h vloc vcor h rnal an nrnal orcs h rssr sron. In rms Navr-Soks qaons comrssl low aramr mho rln moon onal l rssr sron I. INOUION rlnc s low characr rcrclaon an s. Mahmacall rln low s rrsn va a nols comoson n whch h low s rokn own no h sm o an avrag comonn. rln lows can scr wll hrogh h s o h Navr-Soks qaons. h consrvaon laws ar namnal laws o mchancs whch ar arclarl or rln moon. W hav ocs on h gloal snc nqnss an smoohnss o h Navr-Soks rolm or comrssl lows. Eamls o wak solon or ncomrssl lows wr gvn. aarll [] V.Shr []. crcal analss or man analc an nmrcal solons o Navr-Soks qaons was gvn..rman []. W wll n hs nq a o snc o solon gvn n [] sng h nrg consrvaon law or h rnal an nrnal orcs h gran o rssr. hs ar has ocs on h aramr mho wh olr connos cocns o h knmac an namc vscos. hs rsl has shown h n s o mahmacal nrsanng o h lsv comrssl hnomna o rlnc.hr w hav go som aonal namnal normaon ao havor o onal knc an sac nrgs or h scron hr gnral mchancs o h rln comrssl moon. In h rsn work w rv a nmr o rsls concrn wh h m a h m a c a l hor o h Navr-Soks qaons or comrssl ls. W shall al wh h ollowng rolms: on h on han a scron o h known rsls on h snc n h non-lnar an m-nn cass on h ohr han h nqnss a n h rglar o solons or h hr mnsonal Navr-Soks qaons wh olr connos cocns. II. MEMI OMUION O E POBEM rlnc mol s consr n h hr-mnsonal nn sac. no a on n l s consr h vloc vcor n a on M o h hr saal coornas a a gvn m h ormla v v Sos ha nn sacs j k s h vloc vcor s h l rssr l. s consr a ncon n on a on clos s S o. h ncon s sa o olr connos o onn n S hr ss a cons sch ha or all А n S. / W consr comrssl low gvn h gnral Navr -Soks rolm n h ollowng orm с v n hr wh h nal conon on
2 v с gra h vcor ncon o h Navr-Soks qaons -5 w oan h mahmacal rolm or ha qaon j k nos an rnal an nrnal orcs s a knmac vscos s a l ns h smol nos h gran wh rsc o h ncon h smol nos h hr mnsonal alac oraor s a namc vscos whch s rla o h knmac vscos h ormla hr w assm ha. or h am hr s o nrsan rln ars o h Navr-Soks rolm or comrssl lows. h nal val rolm - whch concrns wh h namnal solon o Posson an ha concon qaons. rln moon s sor h sjc owr rom som rnal orcs an nal vloc. h sha o rln rgon s rmn h ror whch has shown sal or nsal o h vloc moon an h rssr sron. Salng mchansms hav n avoca o lan ars osrv n nmrcal smlaons o rlnc. III. SBE SOUION O E NVIE-SOES POBEM IN E POENI IE In hs ar w consr l whn characr h hr-mnsonal Navr-Soks rolm wh olr connos cocn n h ollowng ssm o qaons: n v n Wh an nal conon on 5 Usng wll-known ormla o vcor analss gra ro 6 w hav go gra ro 7 lng h rsson Wh h nal conon 8 v 9 onsr h ha qaon 5 whr h cocn s n n a clnr s h closr o a on oman cocn sass all olr conons. or / ollowng h classcal rocr [6] w can g solons or h rolm 8- n h ngral sm o h araolc onals namnal solon was oan rom ngral qaon g Usng h qaon 8 was on nknown ncon as solon o h ollowng Volrra-rholm ngral qaon
3 Z sng sccssv aromaon mho n n Whr n n namnal solon has smaons or hr rvaons 8 Usng rors o h namnal solon an s rvav valaons w hav go a nqnss an sal solon sasng ollowng smaon M onon or h scalar rssr ncon v P Prcs a sa ar whch nrocs a sal rln moon whn ro ro or rssr ncon w hav go h ollowng smaon M onsqnl w s ha a sal o h rln low ns on h conon. IV. VEOIY OMPONENS N UNION O PESSUE O UBUEN SWIIN MOION ssm ha gra hn h Navr-Soks qaon can wrn as : gra ro 5 hr vcor ncon * s a convolon wn vcor an mar 8 onsrng conon ro an sng roor oraor w oan qaon ro ro ro 5 ona ha ro g 6 ro Wh rsc o 6 w hav go vcor qaon g ro 7 Usng rrsnaon s s s s Z w oan ollowng vcor qaon ro Whr vcor 8 has comonns
4 o hs ac w hav h nq solon o h rolm -5 9 Whr Vcor ncon sass ollowng smaon Usng h wll-known rors o rn s ncons w hav go smaon or h vcor vloc M n h nconal sac.ollowng h classcal rocr w g h nqnss an sal o solon or h rolm -5. lso w oan qaon or h rssr ncon v v whr
5 5 h rolm - whn v s la Ins s Mllnnm rolm whch was ormla rman []. Whn ro s n solon whch has non-connos avs s ncon hror n gnral cas can rmn onl wak solon whch sass h oan alanc qaon. o hs oan alanc qaon or h rssr sron wr n sgncan rors o h ransn ncomrssl low whch rov a scron o h consv rlaonshs wn hr hscal qans: h vloc vcor h rnal an nrnal orcs h scalar rssr sron. h Navr-Socks rolm - n h gnral whn v s alcal o ral rln rocsss whch rrsn an avrag arr rom h rn ons o h sac an w hav rn comnaons o h conons v v v omnng hs conons or h vcor vloc w can lan ransr mchansms o vrgn-convrgn lows. V. E NVIE-SOES POBEM O E IVEEN POENI IE nvsga h havor o h Navr-Socks rolm - n h gnral cas whn v. v n wh h nal conon on or rolm - n h gnral cas w hav go scon orr nonlnar Volrra-rholm ngral qaon n a mar orm sasng 7 Whr Sccssv aromaon mho can sccssll al o solv h nonlnar Volrra-rholm mar ngral qaon. onsrng n h oraor orm w hav qaon r Usng nvrs oraors or h oraors w hav go or
6 VI. ESUS N ISUSSION rom rvos ss [5]-[6] n cass v an r v or nsal moons w hav h nonlnar v olrra -rholm mar qaon whch gv som sml gra consqncs o h horms gvn n [6]. hs rsl ar shown analogcal conons o snc an nqnss or h hr mnsonal Navr-Soks qaons wh olr connos cocns n h arsan coorna ssms whch n on h nrg consrvaon law an rov havor o moon or comrssl lows. hr Navr-Soks qaons n h gnral cas rrsn h volon o h govrnng sron ncons whch n on h vloc vcor n h oson o arcls as a rsl o hrmal caon a an n rln nrg. Vcor ncon sass h ollowng VII. ONUSION smaon Usng h rors o rn s ncons w hav go smaon or h vcor vloc n h sac Whr c c c c c Usng h Navr-Soks qaon w hav a nq scalar ncon o rssr whch sass v v whr hs ar s rsn convnn rocr n solvng h Navr-Soks rolm or comrssl lows whch allows o rov h nqnss an rglar o h solons n h gnral cas. In h consr cas whn wak solon o h Navr-Soks rolm - sass h nrg convrsaon law w hav scnl rglar solon whch mans an sass classcal ormlaon n hs consr cas. In vw o hs ac h oan alanc rlaon wn comonns o h vloc vcor an h rssr ncon n rms on h nrg convrsaon law rovs qvalnc o h srong an wak solon. In cas whn ro h Navr-Soks rolm - or comrssl lows sass wak ormlaon. onvrsl nsa havor rrsns a arr rom h avrag nrg o h l known as nrg. nvolvng namnal rors o h rln lows whch monsra chnolog an rncal moranc a h orron o classcal aroach whr h rsson v o h rln l nrg s no rglar an os no allow o s classcal ormlaon. In hs wa som cls ars n solvng o h Navr-Soks rolm whch was nconr n sng rln havor or nsal moon sng wak ormlaon. h smlar o h alanc qaons an or h rnal orc an h rssr sron wn h rln vrgn an non vrgn lows monsra sgncan an rncal moranc o h nrg consrvaon law or h comrssl rln lows. 6
7 VIII. NOWEMEN h ahors grall arca an acknowlg h Plshng Eor or rang arlr ra o hs ar orng commns an ncoragmn. EEENES []. aarllohn an Nrnrg Paral rglar o sal wak solon. Pr an l. Mah [] V.Shr n n vsc law wh comac sor n sac m.j.om.nalss []..rman. Esnc an smoohnss o h N-S qaon. [].rman Paral rnal qaons o araolc. lora [5] К.А. alva Enrg convrsaon law n h r amoshr. Inrnaonal Jornal o Engnrng an Innovav chnolog IJEI Vol. Is. Ma.5-6 lora US I:.895 h:// [6]. alva. alv Esnc an Unqnss o h Navr-Soks Prolm n Inn Sac. IEN Jornal. ISBN: / Engnrng an omr scnc/ - Jl onon U.. h:// UO BIOPY r..alva s workng as a os-ocoral sarchr a h Unvrsé o orran aoraor Enrgéq chnq nrq EM Nanc ranc. Sh has Ph gr n Phscal an Mahmacal scncs: rnal qaons an mahmacal hscs. r..alva has lsh mor han 6 rsarch arcls n h Naonal/Inrnaonal Jornals. r aras o rsarch nrss:. Inal-onar rolms or mlcomonn ha ransr an mass son. Mlhas San rolms or Paraolc Paral rnal Eqaons. Mchancs an namcs o arcls n rln lows..issakov s workng as assoca rossor a aakh Naonal chncal Unvrs nam ar.saav. has ocor gr n chncal scnc. r...issakov has lsh mor han rsarch arcls n h Naonal Jornals. s aras o rsarch nrss:. omr molng o son. Mchancal Eqlrm o as Mr. h hor o mchansms an qmn als 7
OUTLINE FOR Chapter 2-2. Basic Laws
0//8 OUTLINE FOR Chapr - AERODYNAMIC W-- Basc Laws Analss of an problm n fld mchancs ncssarl nclds samn of h basc laws gornng h fld moon. Th basc laws, whch applcabl o an fld, ar: Consraon of mass Conn
More information(heat loss divided by total enthalpy flux) is of the order of 8-16 times
16.51, Rok Prolson Prof. Manl Marnz-Sanhz r 8: Convv Ha ransfr: Ohr Effs Ovrall Ha oss and Prforman Effs of Ha oss (1) Ovrall Ha oss h loal ha loss r n ara s q = ρ ( ) ngrad ha loss s a S, and sng m =
More informationConventional Hot-Wire Anemometer
Convnonal Ho-Wr Anmomr cro Ho Wr Avanag much mallr prob z mm o µm br paal roluon array o h nor hghr rquncy rpon lowr co prormanc/co abrcaon roc I µm lghly op p layr 8µm havly boron op ch op layr abrcaon
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 informationChapter 8 Theories of Systems
~~ 7 Char Thor of Sm - Lala Tranform Solon of Lnar Sm Lnar Sm F : Conr n a n- n- a n- n- a a f L n n- ' ' ' n n n a a a a f Eg - an b ranform no ' ' b an b Lala ranform Sol Lf ]F-f 7 C 7 C C C ] a L a
More informationNonlinear identification for diffusion/cvd furnaces
José-Job Flors-Godo aramno d Físca amácas Unvrsdad Ibroamrcana éxco C. F. EXICO job.lors@a.mx ars Gas Inl Nonlnar dncaon or dson/cv rnacs rol C Z Z Z Z Z5 rol rol rol r o l rol 5 5 Kosas. saals armn o
More informationSummary: Solving a Homogeneous System of Two Linear First Order Equations in Two Unknowns
Summary: Solvng a Homognous Sysm of Two Lnar Frs Ordr Equaons n Two Unknowns Gvn: A Frs fnd h wo gnvalus, r, and hr rspcv corrspondng gnvcors, k, of h coffcn mar A Dpndng on h gnvalus and gnvcors, h gnral
More informationVertical 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 informationTHREE-DIMENSIONAL FUNDAMENTAL SOLUTIONS IN MULTILAYERED PIEZOELECTRIC SOLIDS
Spcal Dca o Svn ra o roor Toma Ta Tng THREE-DMESOL FUDMETL SOLUTOS MULTLYERED EZOELETR SOLDS E. an Dp. o vl Engnrng T Unvr o ron ron OH 445-95 U.S.. STRT T arcl Grn ncon n r-mnonal D anoropc polcrc an
More informationEE243 Advanced Electromagnetic Theory Lec # 10: Poynting s Theorem, Time- Harmonic EM Fields
Appl M Fall 6 Nuruhr Lcur # r 9/6/6 4 Avanc lcromagnc Thory Lc # : Poynng s Thorm Tm- armonc M Fls Poynng s Thorm Consrvaon o nrgy an momnum Poynng s Thorm or Lnar sprsv Ma Poynng s Thorm or Tm-armonc
More informationImplementation of the Extended Conjugate Gradient Method for the Two- Dimensional Energized Wave Equation
Lonardo Elcronc Jornal of raccs and Tchnolos ISSN 58-078 Iss 9 Jl-Dcmbr 006 p. -4 Implmnaon of h Endd Cona Gradn Mhod for h Two- Dmnsonal Enrd Wav Eqaon Vcor Onoma WAZIRI * Snda Ass REJU Mahmacs/Compr
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 informationBlack-Scholes Partial Differential Equation In The Mellin Transform Domain
INTRNATIONAL JOURNAL OF SCINTIFIC & TCHNOLOGY RSARCH VOLUM 3, ISSU, Dcmbr 4 ISSN 77-866 Blac-Schols Paral Dffrnal qaon In Th Mlln Transform Doman Fadgba Snday mmanl, Ognrnd Rosln Bosd Absrac: Ths ar rsns
More informationFluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory
Fluuaon-lroagn Inraon of Roang Nural Parl w Surfa: Rlavs or A.A. Kasov an G.V. Dov as on fluuaon-lroagn or w av alula rar for of araon fronal on an ang ra of a nural parl roang nar a polarabl surfa. parl
More informationFrequency Response. Response of an LTI System to Eigenfunction
Frquncy Rsons Las m w Rvsd formal dfnons of lnary and m-nvaranc Found an gnfuncon for lnar m-nvaran sysms Found h frquncy rsons of a lnar sysm o gnfuncon nu Found h frquncy rsons for cascad, fdbac, dffrnc
More informationCERTIFICATE OF PRESENTATION
CRTIICAT O PRSNTATION I s cr ha ohamma-baghr hamhchan ah Saaaman-Tarzjan Prs a ar l A Nw Pach-Bas Acv Conor or Sgmaon o h ocarm o h L Vrcl n Carac agnc Rsonac Imags rng h r Inrnaonal Conrc on Comr an nowlg
More informationCHAOS CONTROL VIA ADAPTIVE INTERVAL TYPE-2 FUZZY NONSINGULAR TERMINAL SLIDING MODE CONTROL
CHAOS CONTROL VIA ADAPTIVE INTERVAL TYPE- FUZZY NONSINGULAR TERMINAL SLIDING MODE CONTROL Rm Hnl Far Khabr an Najb Eonbol QUERE Laboraory Engnrng Facly Unvry o S 9 S Algra CRSTIC o Rm Chamagn-Arnn Unvry
More informationOscillations 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 informationNUMERICAL ALGORITHM FOR OPTIMAL MULTI-VARIABLE CONTROL OF AERO ENGINES
NUMERICL LGORIHM OR OIML MULI-VRILE CONROL O ERO ENGINE ODLansv Vrkn GGKlkov VYrkov Dparmn of oma Conrol sms Ufa a vaon chncal Unvrs KMar r Ufa 45 Rssa Dparmn of omac Conrol an sms Engnrng Unvrs of hffl
More informationGauge Theories. Elementary Particle Physics Strong Interaction Fenomenology. Diego Bettoni Academic year
Gau Thors Elmary Parcl Physcs Sro Iraco Fomoloy o Bo cadmc yar - Gau Ivarac Gau Ivarac Whr do Laraas or Hamloas com from? How do w kow ha a cra raco should dscrb a acual hyscal sysm? Why s h lcromac raco
More informationSeptember 27, Introduction to Ordinary Differential Equations. ME 501A Seminar in Engineering Analysis Page 1. Outline
Introucton to Ornar Dffrntal Equatons Sptmbr 7, 7 Introucton to Ornar Dffrntal Equatons Larr artto Mchancal Engnrng AB Smnar n Engnrng Analss Sptmbr 7, 7 Outln Rvw numrcal solutons Bascs of ffrntal quatons
More informationChapter 7 Stead St y- ate Errors
Char 7 Say-Sa rror Inroucon Conrol ym analy an gn cfcaon a. rann ron b. Sably c. Say-a rror fnon of ay-a rror : u c a whr u : nu, c: ouu Val only for abl ym chck ym ably fr! nu for ay-a a nu analy U o
More information10.5 Linear Viscoelasticity and the Laplace Transform
Scn.5.5 Lnar Vclacy and h Lalac ranfrm h Lalac ranfrm vry uful n cnrucng and analyng lnar vclac mdl..5. h Lalac ranfrm h frmula fr h Lalac ranfrm f h drvav f a funcn : L f f L f f f f f c..5. whr h ranfrm
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 informationSupplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse.
Supplmnar Fgur. Eprmn and smulaon wh fn qud anharmonc. a, Eprmnal daa akn afr a 6 ns hr-on puls. b, Smulaon usng h amlonan. Supplmnar Fgur. Phagoran dnamcs n h m doman. a, Eprmnal daa. Th hr-on puls s
More informationY. Dharmendar Reddy and V. Srinivasa Rao Department of Mathematics, Anurag Group of Institutions, Ghatkesar, R.R.Dist.,Telangana State, India.
Jornal of Ald Mahmacs and Fld Mchancs. ISS 974-37 Volm 8 mbr (6). 5-3 Inrnaonal sarch Pblcaon Hos h://.rhos.com Fn Elmn Solon of hrmal adaon and Mass ransfr Flo as Sm- nfn Movng Vrcal Pla h Vscos Dssaon
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 informationAnalytic and Numeric Solution of Nonlinear Partial Differential Equations of Fractional Order
Aalyc a rc Solo o olar Paral Dral qaos o racoal Orr A ADO KOJOK & S A AAD Absrac h sc a qss solo o h achy robl ar scss a ro a aach sac o lck ho a Pcar ho o h rors c a solo o ossss oror so rors cocr h sably
More informationFOR MORE PAPERS LOGON TO
IT430 - E-Commerce Quesion No: 1 ( Marks: 1 )- Please choose one MAC sand for M d a A ss Conro a M d a A ss Consor M r of As an Co n on of s Quesion No: 2 ( Marks: 1 )- Please choose one C oos orr HTML
More informationChapter 9 Transient Response
har 9 Transn sons har 9: Ouln N F n F Frs-Ordr Transns Frs-Ordr rcus Frs ordr crcus: rcus conan onl on nducor or on caacor gornd b frs-ordr dffrnal quaons. Zro-nu rsons: h crcu has no ald sourc afr a cran
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 informationTwo-Dimensional Quantum Harmonic Oscillator
D Qa Haroc Oscllaor Two-Dsoal Qa Haroc Oscllaor 6 Qa Mchacs Prof. Y. F. Ch D Qa Haroc Oscllaor D Qa Haroc Oscllaor ch5 Schrödgr cosrcd h cohr sa of h D H.O. o dscrb a classcal arcl wh a wav ack whos cr
More informationAppendix. 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 information1. Quark mixing and CKM matrix
Avan arl hy: IX. Flavor Ollaon an C olaon IX. Flavor ollaon an C volaon. Quark xng an h CM arx. Flavor ollaon: Mxng o nural on 3. C volaon. Nurno ollaon. Quark xng an CM arx. Quark xng: Ma gna ar no ual
More informationMathematical Statistics. Chapter VIII Sampling Distributions and the Central Limit Theorem
Mahmacal ascs 8 Chapr VIII amplg Dsrbos ad h Cral Lm Thorm Fcos of radom arabls ar sall of rs sascal applcao Cosdr a s of obsrabl radom arabls L For ampl sppos h arabls ar a radom sampl of s from a poplao
More information"Science Stays True Here" Journal of Mathematics and Statistical Science, Volume 2016, Science Signpost Publishing
"Scnc Says r Hr" Jornal of Mahmacs and Sascal Scnc Volm 6 343-356 Scnc Sgnpos Pblshng Mhod for a Solon o Som Class of Qas-Sac Problms n Lnar Vscolascy hory as Appld o Problms of Lnar orson of a Prsmac
More informationΕρωτήσεις και ασκησεις Κεφ. 10 (για μόρια) ΠΑΡΑΔΟΣΗ 29/11/2016. (d)
Ερωτήσεις και ασκησεις Κεφ 0 (για μόρια ΠΑΡΑΔΟΣΗ 9//06 Th coffcnt A of th van r Waals ntracton s: (a A r r / ( r r ( (c a a a a A r r / ( r r ( a a a a A r r / ( r r a a a a A r r / ( r r 4 a a a a 0 Th
More informationThe Variance-Covariance Matrix
Th Varanc-Covaranc Marx Our bggs a so-ar has bn ng a lnar uncon o a s o daa by mnmzng h las squars drncs rom h o h daa wh mnsarch. Whn analyzng non-lnar daa you hav o us a program l Malab as many yps o
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 informationJoint State and Parameter Estimation by Extended Kalman Filter (EKF) technique
Inrnaonal Journal o Engnrng Rsarch an Dvlopmn -ISSN: 78-67 p-issn: 78-8 www.jr.com Volum Issu 8 (Augus 5.4-5 Jon Sa an aramr Esmaon by En alman Flr (EF chnu S. Damoharao.S.L.V. Ayyarao G Sun Dp. o EEE
More informationFractal diffusion retrospective problems
Iraoa ora o App Mahac croc a Copr Avac Tchoo a Scc ISSN: 47-8847-6799 wwwaccor/iamc Ora Rarch Papr Fraca o rropcv prob O Yaro Rcv 6 h Ocobr 3 Accp 4 h aar 4 Abrac: I h arc w h rropcv vr prob Th rropcv
More informationA 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 informationChapter 13 Laplace Transform Analysis
Chapr aplac Tranorm naly Chapr : Ouln aplac ranorm aplac Tranorm -doman phaor analy: x X σ m co ω φ x X X m φ x aplac ranorm: [ o ] d o d < aplac Tranorm Thr condon Unlaral on-dd aplac ranorm: aplac ranorm
More informationModeling of Wireless Networks as Queuing System
Procng of h Wor Congr on Engnrng an Comr Scnc 3 Vo II WCECS 3 3-5 Ocor 3 San rancco USA Mong of Wr Nwor a Qng Sm L.Mrhava Mmr IAENG G. Ggnahv M. Kna Arac Th ar rn h of ca Erang ron mo n wr nwor an mo comng.
More informationAmerican International Journal of Research in Science, Technology, Engineering & Mathematics
Ara raoal oral of ar S oloy r & aa Avalabl ol a //wwwar SSN Pr 38-349 SSN Ol 38-358 SSN D-O 38-369 AS a rfr r-rvw llary a o a joral bl by raoal Aoao of Sf ovao a ar AS SA A Aoao fy S r a Al ar oy rao ra
More informationHeisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari
snbrg Modl Sad Mohammad Mahd Sadrnhaad Survsor: Prof. bdollah Langar bstract: n ths rsarch w tr to calculat analtcall gnvalus and gnvctors of fnt chan wth ½-sn artcls snbrg modl. W drov gnfuctons for closd
More informationNAME: ANSWER KEY DATE: PERIOD. DIRECTIONS: MULTIPLE CHOICE. Choose the letter of the correct answer.
R A T T L E R S S L U G S NAME: ANSWER KEY DATE: PERIOD PREAP PHYSICS REIEW TWO KINEMATICS / GRAPHING FORM A DIRECTIONS: MULTIPLE CHOICE. Chs h r f h rr answr. Us h fgur bw answr qusns 1 and 2. 0 10 20
More informationinnovations shocks white noise
Innovaons Tm-srs modls ar consrucd as lnar funcons of fundamnal forcasng rrors, also calld nnovaons or shocks Ths basc buldng blocks sasf var σ Srall uncorrlad Ths rrors ar calld wh nos In gnral, f ou
More information9. Simple Rules for Monetary Policy
9. Smpl Ruls for Monar Polc John B. Talor, Ma 0, 03 Woodford, AR 00 ovrvw papr Purpos s o consdr o wha xn hs prscrpon rsmbls h sor of polc ha conomc hor would rcommnd Bu frs, l s rvw how hs sor of polc
More informationReliability Mathematics Analysis on Traction Substation Operation
WSES NSCIONS o HEICS Hoh S lal aha al o rao Sao Orao HONSHEN SU Shool o oao a Elral Er azho Jaoo Ur azho 77..CHIN h@6.o ra: - I lr ralwa rao owr l h oraoal qal a rlal o h a rao raorr loo hhr o o o oaral
More informationA Simple Representation of the Weighted Non-Central Chi-Square Distribution
SSN: 9-875 raoa Joura o ovav Rarch Scc grg a Tchoogy (A S 97: 7 Cr rgaao) Vo u 9 Sbr A S Rrao o h Wgh No-Cra Ch-Squar Drbuo Dr ay A hry Dr Sahar A brah Dr Ya Y Aba Proor D o Mahaca Sac u o Saca Su a Rarch
More informationAdvanced 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 informationELEN E4830 Digital Image Processing
ELEN E48 Dgal Imag Procssng Mrm Eamnaon Sprng Soluon Problm Quanzaon and Human Encodng r k u P u P u r r 6 6 6 6 5 6 4 8 8 4 P r 6 6 P r 4 8 8 6 8 4 r 8 4 8 4 7 8 r 6 6 6 6 P r 8 4 8 P r 6 6 8 5 P r /
More informationDynamic Demagnetization Computation of Permanent Magnet Motors Using Finite Element Method with Normal Magnetization Curves
Y 中国用户大会优秀论文 Dynamc Dmagnzaon Compaon of Prmann agn oors Usng Fn Elmn ho h ormal agnzaon Crs W.. F an. L. o bsrac m-sppng fn lmn mho (FE) o smla h ransn opraons of prmann magn (P) moors s prsn. I ss only
More informationLecture 1: Numerical Integration The Trapezoidal and Simpson s Rule
Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -
More informationEngineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions
Engnrng rcu naly 8h Eon hapr Nn Exrc Soluon. = KΩ, = µf, an uch ha h crcu rpon oramp. a For Sourc-fr paralll crcu: For oramp or b H 9V, V / hoo = H.7.8 ra / 5..7..9 9V 9..9..9 5.75,.5 5.75.5..9 . = nh,
More informationWave Superposition Principle
Physcs 36: Was Lcur 5 /7/8 Wa Suroson Prncl I s qu a common suaon for wo or mor was o arr a h sam on n sac or o xs oghr along h sam drcon. W wll consdr oday sral moran cass of h combnd ffcs of wo or mor
More informationLecture 4 : Backpropagation Algorithm. Prof. Seul Jung ( Intelligent Systems and Emotional Engineering Laboratory) Chungnam National University
Lcur 4 : Bacpropagaon Algorhm Pro. Sul Jung Inllgn Sm and moonal ngnrng Laboraor Chungnam Naonal Unvr Inroducon o Bacpropagaon algorhm 969 Mn and Papr aac. 980 Parr and Wrbo dcovrd bac propagaon algorhm.
More informationSIMEON BALL AND AART BLOKHUIS
A BOUND FOR THE MAXIMUM WEIGHT OF A LINEAR CODE SIMEON BALL AND AART BLOKHUIS Absrac. I s shown ha h paramrs of a lnar cod ovr F q of lngh n, dmnson k, mnmum wgh d and maxmum wgh m sasfy a cran congrunc
More informationa 1and x is any real number.
Calcls Nots Eponnts an Logarithms Eponntial Fnction: Has th form y a, whr a 0, a an is any ral nmbr. Graph y, Graph y ln y y Th Natral Bas (Elr s nmbr): An irrational nmbr, symboliz by th lttr, appars
More informationInteraction Between an Embedded Crack and an Interface Crack in Nonhomogeneous Coating System
Mrls Scc Form Vols. 9-9 (5) pp 97- Ol vll sc 5/g/5 www.scc. (5) Trs Tch Plcos Swzrl o:.8/www.scc./msf.9-9.97 Irco Bw Em Crck Irc Crck Nohomogos Cog Ssm E.E. Thookoglo G.H. Plo Fcl o ppl Sccs Dp. o Mchcs-L.
More informationOverview. Splay trees. Balanced binary search trees. Inge Li Gørtz. Self-adjusting BST (Sleator-Tarjan 1983).
Ovrvw B r rh r: R-k r -3-4 r 00 Ig L Gør Amor Dm rogrmmg Nwork fow Srg mhg Srg g Comuo gomr Irouo o NP-om Rom gorhm B r rh r -3-4 r Aow,, or 3 k r o Prf Evr h from roo o f h m gh mr h E w E R E R rgr h
More informationMathematical Appendix
Mahmacal Appn arl J Frson Th Wllcom Dp. of Cognv Nrology Unvrsy Collg Lonon Qn Sqar Lonon U WCN 3BG Tl 44 7833 7456 Fa 44 783 445 mal k.frson@fl.on.cl.ac.k Conns I. Inrocon II. Inp-op mols for sngl rgon
More informationHomework: Introduction to Motion
Homwork: Inroducon o Moon Dsanc vs. Tm Graphs Nam Prod Drcons: Answr h foowng qusons n h spacs provdd. 1. Wha do you do o cra a horzona n on a dsancm graph? 2. How do you wak o cra a sragh n ha sops up?
More informationOn the Solution of Nonlinear Partial Differential Equation of Fractional Order
aacal a oaoal os Scc a r O Solo o olar Paral Dral qao o racoal Orr AAbo l-kook & S A aa 3 aacs Dar acly o cao Alara rsy GYPablla_777@yaooco aacs Dar oll o Sccs a Ars ass rsy SADI AAIA aa_ko@oalco 3 aacs
More informationGrand Canonical Ensemble
Th nsmbl of systms mmrsd n a partcl-hat rsrvor at constant tmpratur T, prssur P, and chmcal potntal. Consdr an nsmbl of M dntcal systms (M =,, 3,...M).. Thy ar mutually sharng th total numbr of partcls
More informationJonathan Turner Exam 2-10/28/03
CS Algorihm n Progrm Prolm Exm Soluion S Soluion Jonhn Turnr Exm //. ( poin) In h Fioni hp ruur, u wn vrx u n i prn v u ing u v i v h lry lo hil in i l m hil o om ohr vrx. Suppo w hng hi, o h ing u i prorm
More informationDouble Slits in Space and Time
Doubl Slis in Sac an Tim Gorg Jons As has bn ror rcnly in h mia, a am l by Grhar Paulus has monsra an inrsing chniqu for ionizing argon aoms by using ulra-shor lasr ulss. Each lasr uls is ffcivly on an
More informationTrade Restrictions and Incentives to Tax Pollution Emissions
Tra Rsrcons an Incnvs o Ta olluon Emssons rlmnar nos Augus 00 Nor Taru Morhro Yomoga Yng Yao Asrac Ths ar sus h c o a ra rsrcon on an ncnv or a ra arnr o a h msson o grnhous gass W ar mova h rcn a on orr
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 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 informationCIV-E4010 Finite Element Methods in Civil Engineering
CIV-E4 Fn Elmn Mos n Cl Engnrng Sprng 7 pro V 5 crs MSc/DSc Dparmn of Cl Engnrng Scool of Engnrng Aalo Unrs Jarkko Nrann Asssan Profssor Acam Rsarc Fllo Frs lcr: 4 Tsa Aprl 7 CIV-E4 Fn Elmn Mos n Cl Engnrng
More informationSun and Geosphere, 2008; 3(1): ISSN
Sun Gosphr, 8; 3(): 5-56 ISSN 89-839 h Imporanc of Ha Conducon scos n Solar Corona Comparson of Magnohdrodnamc Equaons of On-Flud wo-flud Srucur n Currn Sh Um Dn Gor Asronom Spac Scncs Dparmn, Scnc Facul,
More informationCHARACTERIZATION FROM EXPONENTIATED GAMMA DISTRIBUTION BASED ON RECORD VALUES
CHARACTERIZATION RO EPONENTIATED GAA DISTRIBUTION BASED ON RECORD VAUES A I Sh * R A Bo Gr Cog o Euo PO Bo 55 Jh 5 Su Ar Gr Cog o Euo Dr o h PO Bo 69 Jh 9 Su Ar ABSTRACT I h r u h or ror u ro o g ruo r
More informationCHAPTER 7d. DIFFERENTIATION AND INTEGRATION
CHAPTER 7d. DIFFERENTIATION AND INTEGRATION A. J. Clark School o Engnrng Dpartmnt o Cvl and Envronmntal Engnrng by Dr. Ibrahm A. Assakka Sprng ENCE - Computaton Mthods n Cvl Engnrng II Dpartmnt o Cvl and
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 informationBND Summer School in Particle Physics 2016 Early Experimental Tests of QCD
Rk Fl Unvr of Flor r 3 ND Smmr Shool n rl h 06 rl rmnl of QCD lk ICH 978 n oko n m lr n olr n 979. Collr Coorn. Drll-Yn on-r roon. ron Inrn rmorl rnvr omnm. h QCD Imrov ron ol. Unvr of nwr g 6 Smr 9 06
More informationDifferent kind of oscillation
PhO 98 Theorecal Qeson.Elecrcy Problem (8 pons) Deren knd o oscllaon e s consder he elecrc crc n he gre, or whch mh, mh, nf, nf and kω. The swch K beng closed he crc s copled wh a sorce o alernang crren.
More informationAnouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent
oucms Couga Gas Mchal Kazha (6.657) Ifomao abou h Sma (6.757) hav b pos ol: hp://www.cs.hu.u/~msha Tch Spcs: o M o Tusay afoo. o Two paps scuss ach w. o Vos fo w s caa paps u by Thusay vg. Oul Rvw of Sps
More informationAn N-Component Series Repairable System with Repairman Doing Other Work and Priority in Repair
Mor ppl Novmbr 8 N-Compo r Rparabl m h Rparma Dog Ohr ork a ror Rpar Jag Yag E-mal: jag_ag7@6om Xau Mg a uo hg ollag arb Normal Uvr Yaq ua Taoao ag uppor b h Fouao or h aural o b prov o Cha 5 uppor b h
More informationMA1506 Tutorial 2 Solutions. Question 1. (1a) 1 ) y x. e x. 1 exp (in general, Integrating factor is. ye dx. So ) (1b) e e. e c.
MA56 utorial Solutions Qustion a Intgrating fator is ln p p in gnral, multipl b p So b ln p p sin his kin is all a Brnoulli quation -- st Sin w fin Y, Y Y, Y Y p Qustion Dfin v / hn our quation is v μ
More informationCATAVASII LA NAȘTEREA DOMNULUI DUMNEZEU ȘI MÂNTUITORULUI NOSTRU, IISUS HRISTOS. CÂNTAREA I-A. Ήχος Πα. to os se e e na aș te e e slă ă ă vi i i i i
CATAVASII LA NAȘTEREA DOMNULUI DUMNEZEU ȘI MÂNTUITORULUI NOSTRU, IISUS HRISTOS. CÂNTAREA I-A Ήχος α H ris to os s n ș t slă ă ă vi i i i i ți'l Hris to o os di in c ru u uri, în tâm pi i n ți i'l Hris
More informationOverview. Splay trees. Balanced binary search trees. Inge Li Gørtz. Self-adjusting BST (Sleator-Tarjan 1983).
Ovrvw Bn nr rh r: R-k r n -- r 00 Ing L Gør Amor n Dnm rogrmmng Nwork fow Srng mhng Srng nng Comuon gomr Inrouon o NP-omn Rnom gorhm Bn nr rh r -- r. Aow,, or k r no Prf n. Evr h from roo o f h m ngh.
More information( ) ( ) + = ( ) + ( )
Mah 0 Homwork S 6 Soluions 0 oins. ( ps I ll lav i o you vrify ha h omplimnary soluion is : y ( os( sin ( Th guss for h pariular soluion and is drivaivs ar, +. ( os( sin ( ( os( ( sin ( Y ( D 6B os( +
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 informationt=0 t>0: + vr - i dvc Continuation
hapr Ga Dlay and rcus onnuaon s rcu Equaon >: S S Ths dffrnal quaon, oghr wh h nal condon, fully spcfs bhaor of crcu afr swch closs Our n challng: larn how o sol such quaons TUE/EE 57 nwrk analys 4/5 NdM
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 informationNavigation Laboratory Master of Science in Computer Engineering, Environmental and Land Planning Engineering Politecnico di Milano Campus Como
Navgaon Laoraory Masr o Scnc n Compur ngnrng, nvronmnal an Lan Plannng ngnrng Polcnco Mlano Campus Como LCTR NOTS ON INRTIL NVIGTION Rrnc sysms rrnc sysm s a s o ruls an masurs ha allow us o answr h ollowng
More information( r) E (r) Phasor. Function of space only. Fourier series Synthesis equations. Sinusoidal EM Waves. For complex periodic signals
Inoducon Snusodal M Was.MB D Yan Pllo Snusodal M.3MB 3. Snusodal M.3MB 3. Inoducon Inoducon o o dsgn h communcaons sd of a sall? Fqunc? Oms oagaon? Oms daa a? Annnas? Dc? Gan? Wa quaons Sgnal analss Wa
More informationDetermining a Prony Series for a Viscoelastic Material From Time Varying Strain Data
NASA/TM-- ARL-TR-6 Drmnng a Prony Srs for a Vscolasc Maral From Tm Varyng Sran Daa Tzkang Chn U.S. Army Rsarch Laboraory Vhcl Tchnology Drcora Langly Rsarch Cnr, Hamon,Vrgna May Th NASA STI Program Offc...
More informationMath 3301 Homework Set 6 Solutions 10 Points. = +. The guess for the particular P ( ) ( ) ( ) ( ) ( ) ( ) ( ) cos 2 t : 4D= 2
Mah 0 Homwork S 6 Soluions 0 oins. ( ps) I ll lav i o you o vrify ha y os sin = +. Th guss for h pariular soluion and is drivaivs is blow. Noi ha w ndd o add s ono h las wo rms sin hos ar xaly h omplimnary
More informationEconomics 600: August, 2007 Dynamic Part: Problem Set 5. Problems on Differential Equations and Continuous Time Optimization
THE UNIVERSITY OF MARYLAND COLLEGE PARK, MARYLAND Economcs 600: August, 007 Dynamc Part: Problm St 5 Problms on Dffrntal Equatons and Contnuous Tm Optmzaton Quston Solv th followng two dffrntal quatons.
More informationValuing Energy Options in a One Factor Model Fitted to Forward Prices
Vag Enrgy Oons n a On acor Modl Clwlow and rcland Vag Enrgy Oons n a On acor Modl d o orward Prcs Ls Clwlow and Chrs rcland hs Vrson: 5 h Arl 999 chool of nanc and Economcs Unvrsy of chnology ydny Asrala
More informationChapter 7 INTEGRAL EQUATIONS
hapr 7 INTERAL EQUATIONS hapr 7 INTERAL EUATIONS hapr 7 Igral Eqaios 7. Normd Vcor Spacs. Eclidia vcor spac. Vcor spac o coios cios ( ). Vcor Spac L ( ) 4. ach-baowsi iqali 5. iowsi iqali 7. Liar Opraors
More informationT 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 informationPartial Derivatives: Suppose that z = f(x, y) is a function of two variables.
Chaptr Functions o Two Variabls Applid Calculus 61 Sction : Calculus o Functions o Two Variabls Now that ou hav som amiliarit with unctions o two variabls it s tim to start appling calculus to hlp us solv
More informationXV Exponential and Logarithmic Functions
MATHEMATICS 0-0-RE Dirnial Calculus Marin Huard Winr 08 XV Eponnial and Logarihmic Funcions. Skch h graph o h givn uncions and sa h domain and rang. d) ) ) log. Whn Sarah was born, hr parns placd $000
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 informationKlein-Gordon Equation
Inroducon o lnar Parcl Phscs. Lcur 5 Pag of 5 Kln-Gordon quaon 96 Schrodngr: Quanu chancal quaon for non-rlavsc chancs: V,, V V 96 Kln Rlavsc chancs (fr arcl):,, Soluons ar: ( r), whr ( r), whr ) Soluons
More informationFI 3103 Quantum Physics
/9/4 FI 33 Quanum Physcs Aleander A. Iskandar Physcs of Magnesm and Phooncs Research Grou Insu Teknolog Bandung Basc Conces n Quanum Physcs Probably and Eecaon Value Hesenberg Uncerany Prncle Wave Funcon
More information