Numerical Solution of Convection-Diffusion Integro-Differential Equations with a Weakly Singular Kernel
|
|
|
- Laurel Neal
- 6 years ago
- Views:
Transcription
1 J. Ba. Appl. S. R. - TRoad Pblao ISS 9- Joral of Ba ad Appld Sf Rar mral Solo of Covo-Dffo Igro-Dffral Eqao w a Waly Sglar Krl a Sad S. Sddq ad b Sama Ard ab Dparm of ama Uvry of Pab Laor 559 Paa Rvd: Ag Apd: Spmbr 8 ABSTRACT ay mamaal formlao of pyal poma oa gro-dffral qao. I papr a mral mod dvlopd o olv ovo-dffo gro-dffral qao w a waly glar rl g b B-pl olloao mod. T qao or may applao a rapor of ar ad grod war polla ol rrvor flow modlg of modor. T propod mod bad o olloao of b B-pl ovr f lm o a oy of dpd varabl ad fr wo drvav rogo olo rag obad. T baward Elr m d m dro ad b B-pl olloao mod d for paal drvav. Som mral ampl ar odrd o llra ffy of mod dvlopd. I a b obrvd a mral rl ffly approma a olo. KEYWORDS: Cb B-pl Colloao mod Igro-dffral qao Waly glar rl Covo-dffo qao. ama Sb Clafao : 5-XX 5R9 5KXX ITRODUCTIO ay poma varo fld of grg bology py formla ym ldg pa ad m varabl ar modld by paral dffral qao. W ff of mmory of ym ar odrd modl volv gral rm oag ow fo. Trfor obad paral gro-dffral qao PIDE o of paral dffrao ad gral rm. Paral gro-dffral qao a drb om pyal ao a ompro of porovola mda ovo-dffo problm lar raor dyam gopy plama py ad lromag ory. T ovo-dffo qao a parabol paral dffral qao w drb pyal poma wr rgy raformd d a pyal ym d o wo pro: ovo ad dffo. T rm ovo ma movm of moll w fld wra dffo drb prad of parl rog radom moo from rgo of gr orao o rgo of lowr orao. I ary o alla rapor of fld propr or ra o orao w a fld for applao a war qaly modlg ar pollo morology oaograpy ad or pyal. Solo of gro-dffral qao av rly arad m ao of rarr. ay mamaal formlao of pyal poma a ovo advo-dffo oa gro-dffral qao. Igro-dffral qao ar ally dffl o olv aalyally o rqrd o oba a ff approma olo. I papr followg ovo-dffo gro-dffral qao w a waly glar rl odrd m b K d f [ L] wr m > ad b > ar odrd o b pov oa qafyg advo ovo ad dffo pro rpvly. T gral rm alld mmory rm rl a waly glar rl. K * Corrpodg Aor: Sad S. Sddq Dparm of ama Uvry of Pab Laor 559 Paa. Emal: adddqprof@yaoo.o.
2 Sddq ad Ard Sb o al odo g L ad bodary odo f L f wr g f f ar ow fo ad f a gv moo fo. If mmory rm zro Eq. rd o mor gral omogo ovo- dffo qao gv by m b f [ L ] T or rm f ao for a ro or rao of ma of ym a volv w m. Spfally f rpr m ra of ag of orao d o ral faor a a or or a. LITERATURE REVIEW T gro-dffral Eq. alog w ora ad of prmary mpora may pyal ym pally o volvg fld flow [-]. Eq. o dmoal vro of paral gro-dffral qao w drb ovodffo of qa a ma a rgy vory. [-]. I a b a Eq. rl fo a a wa glary a org []. T parlarly rg volay ba mg moo olo w bodary daa doo [5]. A. F. Solma al. [ 7] d f dffr formla ad olloao mod for mral olo of paral gro-dffral qao. Haag Zag al. [8] d q B-pl olloao mod for olvg for ordr paral gro-dffral qao w a waly glar rl. A. F. Solma al. [9] d dgr B-pl for mral olo of gro-paral dffral qao. Xa Yag al. [] d qa-wavl bad mral mod for olo of for ordr paral gro-dffral qao w a waly glar rl. Haag Zag ad Xl Ha [] d qa-wavl olloao mod for olo of m-dpd fraoal paral dffral qao. A. Golbaba ad K. Sayvad [] d omoopy prrbao mod for olo of gralzd for-ordr fraoal dffo wav qao. Yar awaz [] d varaoal rao ad omoopy mod for olo of for-ordr fraoal gro-dffral qao. T mral olo of for-ordr paral gro-dffral qao w a waly glar rl propod by Xa Yag al. [] g Cra-olo m m dro ad qa-wavl mod for paal drvav. Qa-wavl bad mral mod propod by W. T. Log al. [5] for olo of a la of paral gro-dffral qao. R. C. al ad R. K. Ja [] dd olloao mod bad o rdfd b B-pl ba fo for olvg ovo-dffo qao. I papr approma olo of ovo-dffo gro-dffral qao w a waly glar rl propod g b B-pl olloao mod. T olloao mod w B-pl ba fo rpr a oomal alrav oly rqr valao of ow paramr a grd po. T papr orgazd o v o. T lrar rvw prd o. So pr dald drpo abo b B-pl. T baward Elr Sm d o drz m drvav volvd Eq.. dd So. I o 5 b B-pl olloao mod dvlopd o olv ovo-dffo gro-dffral qao. mral rl ar prd o wl olo prd o 7. 7
3 J. Ba. Appl. S. R. - Cb B-pl Colloao od {... L} b paro of L. T pal p lg L dod by.... L B b B-pl ba fo w o a po.... T a appromao U o a olo a m lvl a b prd rm of b B- pl ba fo B a U B 5 wr ar ow m dpd qa o b drmd from bodary odo ad olloao form of gro-dffral qao. T b B-pl B... a b dfd a blow [ ] [ ] B [ ] [ ] orw r T val of v drvav B... ; r a od ar ld Tabl. Tabl : Coff of b B-pl ad drvav a o El B B B Drzao m: a baward Elr m T m drvav drzd by fr-ordr baward Elr m. L wr m p a appromao o val of a a m po = =. Codrg mporal dr pro of Eq. a m po fr pro lf d of Eq. appromad by Sbg Eq. Eq. a b wr a 8
4 Sddq ad Ard f d b m 7 T gral rm abov qao a b allad a dr d d d d 8 Sbg Eq. 8 Eq. 7 a b wr a f b m T abov qao a b rwr a 9 f b b m wr... b f f For pal a = w fr m p m mply lad o f b m 5 Drzao pa: b B-pl olloao mod Codr a form m w grd po o drz rgo ]. [ ] [ T L Ea grd po wr... ad T.... ad ar m z pa ad m dro rpvly. T pa drzao of Eq. 9 arrd o g Eq. 5 ad olloao mod mplmd by dfyg olloao po a od. So for... followg rlao a b obad a ] [ ] [ f b b m Smplfyg abov rlao lad o followg ym of + lar qao + ow F b m b b m 9
5 J. Ba. Appl. S. R. - wr f b F To oba q olo of ym wo addoal ora ar rqrd. T ora ar obad from bodary odo. Impoo of bodary odo abl o lma paramr ad from ym. I ordr o lma ad bodary odo ar d a p p p p Afr lmag ad ym rdd o a r-dagoal ym of + lar qao + ow. T ym a b rwr followg mar form... F AC wr... ]... [ C T ad A m b m p q r p q r p q r m m b wr b m r b q b m p I ordr o fd val of T C ]... [ fr dd o fd val of T C ]... [. T val of C obad olvg Eq. a... F b m b b m wr f F T abov Eq. a ym of + lar qao + ow....
6 Sddq ad Ard To oba q olo of ym ad ar lmad g bodary odo. T m volo of approma olo U drmd by m volo of vor C. T T fod by rpadly olvg rrr rlaop afr al vor a C [... ] b ompd from al odo. T rrr rlaop r-dagoal ad o a b olvd g Toma algorm. T al a vor C a b drmd from al odo g w gv + qao + ow. For drmg ow followg rlao a o ar d U U g... U L w gv a r-dagoal ym of qao followg mar G C E wr G mral Rl I o propod mod d o fv problm. L L... wr do fal m lvl ad + mbr of od. I ordr o aray of propod mod mamm orm rror ad L orm rror bw mral ad a olo ar gv by followg dfo amm orm rror: ma U L U orm rror: T aray of propod mod d for dffr val of paramr m ad b. Som mpora o-dmoal paramr mral aaly ar dfd a follow: Cora mbr: C r m Dffo mbr: S b Cr m Grd Pl mbr: P S b W Pl mbr g ovo rm doma ad w Pl mbr low dffo rm doma.
7 J. Ba. Appl. S. R. - Eampl T followg ovo-dffo gro-dffral qao odrd m b w m =.5 b =. ad followg al odo ad bodary odo T T a olo of problm d f [] T mral olo for wo dffr grd z = ad = 5 w =. a dffr m lvl ar prd Tabl. T mral olo for wo dffr grd z = ad = 5 w =. a dffr m lvl ar prd Tabl. P =.5 ad P =.5 for =. ad =. rpvly. Hr Pl mbr P low w da a dffo rm doma. I Tabl ad m rm pa rm ad m lvl ar vard o aray of propod mod w da a propod mod baally ff. I a b obrvd from Tabl ad a propod mod approma a olo vry ffly. I ordr o da ff of propod mod for largr m lvl a olo ad approma olo ar plod g = = ad =. a ow Fg.. I lar from Fg. a mral olo gly o w a olo w da a b B-pl olloao mod vry ffv. Fgr : T rl a = = ad =. for Eampl.
8 Sddq ad Ard Tabl : P ad Fgr : T a ad mral olo a =. Dod l: mral olo Sold l: a olo for =. Tabl : 9.5 E-. E-5.9 E-5.59 E E E-5. E-5 5. E-5.5 E-7.75E E-7.98E- 5.7 E-7.8 E-.97 E-.85 E- P ad for = E E E-.579 E E-. E-5.95 E-5. E-5. E E-8.9 E-7.5 E-7.75 E-7.5 E E-7.58 E- Eampl T followg ovo-dffo gro-dffral qao odrd m b w m =.5 b =. ad followg al odo ad bodary odo T T a olo of problm d f [] T mral olo for wo dffr grd z = 5 ad = w =. a dffr m lvl ar prd Tabl. P = ad P = 5 for =. ad =. rpvly. Hr Pl mbr P g w da a ovo rm doma. T mral olo for wo dffr grd z = ad = 5 w =. a dffr m lvl ar prd Tabl 5. P = 5 ad P = for =. ad =. rpvly. Hr Pl mbr P g w da a ovo rm doma. I Tabl ad 5 m rm pa rm ad m lvl ar vard o aray of propod mod w da a propod mod baally ff. I a b obrvd from Tabl ad 5 a propod mod approma a olo vry ffly.
9 J. Ba. Appl. S. R. - I ordr o da ff of propod mod for largr m lvl a olo ad approma olo ar plod g = = ad =. a ow Fg.. I lar from Fg. a mral olo gly o w a olo w da a propod mod vry ffv. I Fg. a olo rprd by old l ad mral olo rprd by dod l a = m lvl. Fgr : T rl a = = ad =. for Eampl Fgr : T a ad mral olo a =. Dod l: mral olo Sold l: a olo Tabl : ad for =. Tabl 5: Eampl T followg ovo-dffo gro-dffral qao odrd m P b 7. E-7.57 E E-.597 E E-.77 E-5.5 E-5.89 E E-8.9 E E-7.98 E E-7.7 E- 7.5 E-.85 E-5 d f P [ ] ad for = E-9.8 E-8.8 E-8. E E-9.59 E E E-7.9 E-.975 E-9.97 E-9.97 E E-.988 E E-9.95 E-8
10 Sddq ad Ard w m =. b =. ad followg al odo ad bodary odo T T a olo of problm T mral olo for wo dffr grd z = ad = 5 w =. a dffr m lvl ar prd Tabl. T mral olo for wo dffr grd z = ad = 5 w =. a dffr m lvl ar prd Tabl 7. P =.5 ad P =.5 for ad rpvly. Hr Pl mbr P orrpod o 5 g w da a ovo rm doma. P orrpod o low w 5 da a dffo rm doma. I Tabl ad 7 m rm pa rm ad m lvl ar vard o aray of propod mod w da a propod mod baally ff. I a b obrvd from Tabl ad 7 a propod mod approma a olo vry ffly. I ordr o da ff of propod mod for largr m lvl a olo ad approma olo ar plod g = = ad =. a ow Fg. 5. I lar from Fg. 5 a mral olo gly o w a olo w da a propod mod gly ffv. I Fg. a olo rprd by old l ad mral olo rprd by dod l a = m lvl. Fgr 5: T rl a =5 =. ad = for Eampl. 5
11 J. Ba. Appl. S. R P Tabl : ad.5.8 E E-.55 E-.5.9 E-.78 E-.899 E- 5 Fgr : T a ad mral olo a =. Dod l: mral olo Sold l: a olo for =. Tabl 7:.59 E-5.9 E-.9 E- 7.5 E-7.88 E E-5 P ad for = E E-5.89 E E-7.7 E E-.789 E-.89 E-5.8 E E-8.89 E-7.5 E-7 Eampl T followg ovo-dffo gro-dffral qao odrd m b w m =.5 b =.5 ad followg al odo o ad bodary odo T T a olo of problm o d f [] T mral olo for wo dffr grd z = 5 ad = w =. a dffr m lvl ar prd Tabl 8. T mral olo for wo dffr grd z = 5 ad = w =. a dffr m lvl ar prd Tabl 9. P =. ad P =. for =. ad =. rpvly. Hr Pl mbr P low w da a dffo rm doma. I Tabl 8 ad 9 m rm pa rm ad m lvl ar vard o aray of propod mod w da a propod mod baally ff. I a b obrvd from Tabl 8 ad 9 a propod mod approma a olo vry ffly. I ordr o da ff of propod mod for largr m lvl a olo ad approma olo ar plod g = =5 ad =. a ow Fg. 7. I lar from Fg. 7 a mral olo gly o w a olo w da a b B-pl olloao mod vry ffv. I Fg. 8 a olo rprd by old l ad mral olo rprd by dod l a =5 m lvl.
12 Sddq ad Ard Fgr 7: T rl a = =5 ad =. for Eampl. 7 5 Tabl 8: P ad..8 E-5.9 E-.77 E-.998 E-..9 E-.9 E E-5.87 E- Fgr 8: T a ad mral olo a =5. Dod l: mral olo Sold l: a olo for =. Tabl 9:.7 E E E E E-7.55 E-.8 E-.97 E-5 Eampl 5 T followg ovo-dffo gro-dffral qao odrd m b w m =.5 b =.5 ad followg al odo o Ad bodary odo T a olo of problm 8 d f P ad [] for =...98 E-.58 E-5.75 E-5.97 E-..9 E-.9 E E-.98 E-5.89 E E-.5 E-.5 E-5.5 E-8.7 E-7.9 E-7.75 E- 7
13 J. Ba. Appl. S. R. - o T mral olo a = w =. ad =. a dffr m lvl ar prd Tabl ad rpvly. I Tabl ad m rm ad m lvl ar vard o aray of propod mod w da a propod mod baally ff. P = for =.. Hr Pl mbr P g w da a ovo rm doma. From Fgr 9 ad a b obrvd a mral olo gly o w a olo w da a propod mod vry ffv. Fgr 9: T rl a = =. ad = for Eampl Fgr : T a ad mral olo a =. Dod l: mral olo Sold l: a olo P. 5 5 Tabl : =...79 E-. E E-5.55 E- for = Tabl : =..9 E-8.5 E E-7.9 E-5 P =.... E E-.9 E- 5.7 E- for = =..755 E-7 5. E-.87 E-5.8 E- 8
14 Sddq ad Ard Tabl : T followg abl mmarz dffr of ampl -5 Eampl Ea olo Irval Ial odo Bodary odo Pl mbr P [ ] [ ] [ ] [ ] o o o [ ] o 5 7 Colo T T T T T Low Hg Hg for ad low for 5 I papr ovo-dffo gro-dffral qao w a waly glar rl wa olvd g a olloao mod w b B-pl ba fo. T baward Elr m d for m drzao ad b B-pl olloao mod d for pa drzao. T propod mod ffly word o gv ara rl for val of P po 5. T prforma of propod mod for odrd problm wa mard by allag mamm orm rror ad L -orm rror prd Tabl -. T paramr ad ar vard ordr o aray of propod mod. T propod mod alo vald ad ff for dffr val of < <. I obrvd from mral ampl a propod mod po a g dgr of ffy ad aray. orovr mral rl ar good agrm w a olo. T mral olo of m-fraoal ovodffo qao g B-pl olloao mod ar progr. REFERECES []. Dga. Wgd f dffr q for o-dmoal advo-dffo qao. Appl. a. Comp. 7: 7-9. [] D. B. Spaldg 97. A ovl f dffr formlao for dffral pro volvg bo fr ad od drvav. I. J. mr. od Eg. : []. Dga. mral olo of r-dmoal advo-dffo qao. Appl. a. Comp. 5: 5-9. [] T. Tag 99. A f dffr m for paral gro-dffral qao w a waly glar rl. Appl. mr. a. : 9-9. [5]. Rardy 989. amaal aaly of vola flow. A. Rv. Fld. : -. Low Hg 9
15 J. Ba. Appl. S. R. - [] A. F. Solma A.A. EL-ASYED ad. S. El-Azab. O mral olo of paral grodffral qao. a. S. L. : 7-8. [7] A. F. Solma A.A. EL-ASYED ad. S. El-Azab. Compa f dffr m for olvg a la of waly-glar paral gro-dffral qao. a. S L : 5-. [8] Haag Zag Xl Ha ad Xa Yag. Q B-pl olloao mod for for ordr paral gro-dffral qao w a waly glar rl Appl. a. Comp. 9: [9] A. F. Solma. S. El-Azab ad A..A. EL-ASYED. T mral olo of gro-paral dffral qao w -dgr B-pl fo. Amra Aadm ad Solarly Rar Joral : -. [] XaYag Da X Haag Zag. Qa-wavl bad mral mod for for-ordr paral gro-dffral qao w a waly glar rl. I. J. Comp. a. 885: 5. [] Haag Zag Xl Ha. Qa-wavl mod for mdpd fraoal paral dffral qao I. J. Comp. a. p://d.do.org/.8/ [] A. Golbaba K. Sayvad. Fraoal all A w approa o aaly of gralzd forordr dffo-wav qao. Comp. a. Appl. : 7. [] Yar awaz. Varaoal rao mod ad omoopy prrbao mod for for-ordr fraoal gro-dffral qao. Comp. a. Appl. : -. [] Xa Yag Da X Haag Zag. Cra olo/qa-wavl mod for olvg for ordr paral gro-dffral qao w a waly glar rl. J. Comp. Py. : 7 9. [5] W.T. Log D. X X.Y. Zg. Qa wavl bad mral mod for a la of paral grodffral qao. Appl. a. Comp. 8: [] R.C. al R.K. Ja. Rdfd b B-pl olloao mod for olvg ovo dffo qao. Appl. a. odl. :
American 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
Mathematical 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
Reliability 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
Improved 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
Study on Non-linear Responses of Eccentric Structure
Th 4 h World ofr o Erh Egrg or -7 8 Bg h Sd o No-lr Rpo of Er Srr Hdz WATANABE oh USUNI Ar TASAI 3 Grd Sd Dpr of Arhr ooh Nol Uvr ooh Jp Ao Profor Dpr of Arhr ooh Nol Uvr ooh Jp ABSTRAT : 3 Profor Dpr
Two-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
Existence and Uniqueness of a Solution of Differential Equations with Constant Periodic Operator Coefficients
rca Iraoal Joral o Coorary arc Vol 3 No 4; rl 3 xc ad Uq o a Solo o Dral qao w Coa Prodc raor Coc bab Moa Saly Fac ad drav Dar l- Balqa' ld Uvry BU Jorda brac I ar w abl a or a rov xc ad q o olo o qao
x 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
Improved 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
Introduction 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
ANALYSIS OF MANUFACTURING OF VOLTAGE RESTORE
ANAYSS O MANUAURNG O OAGE RESORE O NREASE ENSY O EEMENS O HE RU E.. arao E.A. Blaa Nh Nooro Sa Ur 3 Gaar a Nh Nooro 6395 Ra ABSRA W ro a approah for ra of ola ror lm. h approah ba o mafar of a hrorr hh
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
An 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
Almost unbiased exponential estimator for the finite population mean
Almos ubasd poal smaor for f populao ma Rajs Sg, Pakaj aua, ad rmala Saa, Scool of Sascs, DAVV, Idor (M.P., Ida (rsgsa@aoo.com Flor Smaradac ar of Dparm of Mamacs, Uvrs of Mco, Gallup, USA (smarad@um.du
Linear 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
Control Systems (Lecture note #6)
6.5 Corol Sysms (Lcur o #6 Las Tm: Lar algbra rw Lar algbrac quaos soluos Paramrzao of all soluos Smlary rasformao: compao form Egalus ad gcors dagoal form bg pcur: o brach of h cours Vcor spacs marcs
ON A RISK MODEL WITH A CONSTANT DIVIDEND AND DEBIT INTEREST
Joral of Pr ad Appld ahas: Advas ad Applaos ol Nr Pags 87-4 ON A RSK ODEL WTH A CONSTANT DDEND AND DEBT NTEREST YUZHEN WEN Shool of ahaal Ss Qf Noral Uvrs Qf Shadog 765 P. R. Cha -al: wh@6.o Asra hs papr
Multi-fluid magnetohydrodynamics in the solar atmosphere
Mul-flud magohydrodyams h solar amoshr Tmuraz Zaqarashvl თეიმურაზ ზაქარაშვილი Sa Rsarh Isu of Ausra Aadmy of Ss Graz Ausra ISSI-orksho Parally ozd lasmas asrohyss 6 Jauary- Fbruary 04 ISSI-orksho Parally
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
". :'=: "t',.4 :; :::-':7'- --,r. "c:"" --; : I :. \ 1 :;,'I ~,:-._._'.:.:1... ~~ \..,i ... ~.. ~--~ ( L ;...3L-. ' f.':... I. -.1;':'.
= 47 \ \ L 3L f \ / \ L \ \ j \ \ 6! \ j \ / w j / \ \ 4 / N L5 Dm94 O6zq 9 qmn j!!! j 3DLLE N f 3LLE Of ADL!N RALROAD ORAL OR AL AOAON N 5 5 D D 9 94 4 E ROL 2LL RLLAY RL AY 3 ER OLLL 832 876 8 76 L A
Lecture 12: Introduction to nonlinear optics II.
Lcur : Iroduco o olar opcs II r Kužl ropagao of srog opc sgals propr olar ffcs Scod ordr ffcs! Thr-wav mxg has machg codo! Scod harmoc grao! Sum frqucy grao! aramrc grao Thrd ordr ffcs! Four-wav mxg! Opcal
Dr. Junchao Xia Center of Biophysics and Computational Biology. Fall /21/2016 1/23
BIO53 Bosascs Lcur 04: Cral Lm Thorm ad Thr Dsrbuos Drvd from h Normal Dsrbuo Dr. Juchao a Cr of Bophyscs ad Compuaoal Bology Fall 06 906 3 Iroduco I hs lcur w wll alk abou ma cocps as lsd blow, pcd valu
Overview. Introduction Building Classifiers (2) Introduction Building Classifiers. Introduction. Introduction to Pattern Recognition and Data Mining
Ovrv Iroduco o ar Rcogo ad Daa Mg Lcur 4: Lar Dcra Fuco Irucor: Dr. Gova Dpar of Copur Egrg aa Clara Uvry Iroduco Approach o uldg clafr Lar dcra fuco: dfo ad urfac Lar paral ca rcpro crra Ohr hod Lar Dcra
ON VERTICAL INTEGRATION FRAMEWORK ELEMENT OF TRANSISTOR-TRANSISTOR LOGIC
raoal Joral of Appl orol Elral a Elro Er (JAEEE) ol 3 No.3 A 5 ON ERA NEGRAON RAMEWORK EEMEN O RANSSOR-RANSSOR OG E.. arao E.A. Blaa Nh Nooro Sa Ur 3 Gaar a Nh Nooro 6395 Ra Nh Nooro Sa Ur of Arhr a l
Part I- Wave Reflection and Transmission at Normal Incident. Part II- Wave Reflection and Transmission at Oblique Incident
Apl 6, 3 Uboudd Mda Gudd Mda Chap 7 Chap 8 3 mls 3 o 3 M F bad Lgh wavs md by h su Pa I- Wav Rlo ad Tasmsso a Nomal Id Pa II- Wav Rlo ad Tasmsso a Oblqu Id Pa III- Gal Rlao Bw ad Wavguds ad Cavy Rsoao
Least squares and motion. Nuno Vasconcelos ECE Department, UCSD
Las squars ad moo uo Vascoclos ECE Dparm UCSD Pla for oda oda w wll dscuss moo smao hs s rsg wo was moo s vr usful as a cu for rcogo sgmao comprsso c. s a gra ampl of las squars problm w wll also wrap
Algorithms to Solve Singularly Perturbed Volterra Integral Equations
Avalabl a hp://pvamudu/aam Appl Appl Mah ISSN: 9-9 Vol Issu Ju pp 9-8 Prvousl Vol Issu pp Applcaos ad Appld Mahmacs: A Iraoal Joural AAM Algorhms o Solv Sgularl Prurbd Volrra Igral Equaos Marwa Tasr Alqura
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
Fractal 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
LECTURE 6 TRANSFORMATION OF RANDOM VARIABLES
LECTURE 6 TRANSFORMATION OF RANDOM VARIABLES TRANSFORMATION OF FUNCTION OF A RANDOM VARIABLE UNIVARIATE TRANSFORMATIONS TRANSFORMATION OF RANDOM VARIABLES If s a rv wth cdf F th Y=g s also a rv. If w wrt
counting 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
EMPIRICAL STUDY IN FINITE CORRELATION COEFFICIENT IN TWO PHASE ESTIMATION
MPIRIAL TDY I FIIT ORRLATIO OFFIIT I TWO PHA TIMATIO M. Khohva Lcurr Grffh vry chool of Accoug ad Fac Aurala. F. Kaymarm Aa Profor Maachu Iu of Tchology Dparm of Mchacal grg A; currly a harf vry Thra Ira.
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
FOR 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
Chap 2: Reliability and Availability Models
Chap : lably ad valably Modls lably = prob{s s fully fucog [,]} Suppos from [,] m prod, w masur ou of N compos, of whch N : # of compos oprag corrcly a m N f : # of compos whch hav fald a m rlably of h
International Journal of Pure and Applied Sciences and Technology
I. J. Pur Al. S. Thol.. 4-6 Iraoal Joural o Pur ad Ald S ad Tholog ISSN 9-67 Avalabl ol a www.joaaa. Rarh Par Blaral Lala-Mll Igral Traorm ad Alao S.M. Kharar * R.M. P ad J. N. Saluk 3 Darm o Egrg Mahma
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
Numerical Solution of Transient Thermal Stresses in a Functionally Graded Cylinder
La d gg Mha gg Glgy al l f a hal a Fally Gadd yld IQ H KHOLO I-LMH aal gg a Jda y f ad hlgy P.O x Ibd JO al: daabh@.d. ba: - h a d h a hal a la yld ad f a fally gadd aal FGM. h yld aal dd b gadd alg h
Convolution of Generated Random Variable from. Exponential Distribution with Stabilizer Constant
Appld Mamacal Scc Vol 9 5 o 9 78-789 HIKARI Ld wwwm-acom p://dxdoog/988/am5559 Covoluo of Gad Radom Vaabl fom Expoal Dbuo w Sablz Coa Dod Dvao Maa Lufaa Oaa ad Maa Aa Dpam of Mamac Facul of Mamac ad Naual
Priority Search Trees - Part I
.S. 252 Pro. Rorto Taassa oputatoal otry S., 1992 1993 Ltur 9 at: ar 8, 1993 Sr: a Q ol aro Prorty Sar Trs - Part 1 trouto t last ltur, w loo at trval trs. or trval pot losur prols, ty us lar spa a optal
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
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
Fundamental Solutions for Micropolar Fluids
So: Jol of Egg Mh Vol No pp 9-79 ; DO: 7/-7-9- dl Solo fo Mopol ld JN-JN SH * d JENN SHN LEE Shool of Mhl & op Egg Nyg hologl y Nyg Sgpo 979 N fdl olo fo opol fld dd pl fo fo o- d h-dol dy odd Sok d O
CHAPTER: 3 INVERSE EXPONENTIAL DISTRIBUTION: DIFFERENT METHOD OF ESTIMATIONS
CHAPTER: 3 INVERSE EXPONENTIAL DISTRIBUTION: DIFFERENT METHOD OF ESTIMATIONS 3. INTRODUCTION Th Ivrs Expoal dsrbuo was roducd by Kllr ad Kamah (98) ad has b sudd ad dscussd as a lfm modl. If a radom varabl
OH 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
Scripture quotations marked cev are from the Contemporary English Version, Copyright 1991, 1992, 1995 by American Bible Society. Used by permission.
N Ra: E K B Da a a B a a, a-a- a aa, a a. T, a a. 2009 Ba P, I. ISBN 978-1-60260-296-0. N a a a a a, a,. C a a a Ba P, a 500 a a aa a. W, : F K B Da, Ba P, I. U. S a a a a K Ja V B. S a a a a N K Ja V.
Major: All Engineering Majors. Authors: Autar Kaw, Luke Snyder
Nolr Rgrsso Mjor: All Egrg Mjors Auhors: Aur Kw, Luk Sydr hp://urclhodsgusfdu Trsforg Nurcl Mhods Educo for STEM Udrgrdus 3/9/5 hp://urclhodsgusfdu Nolr Rgrsso hp://urclhodsgusfdu Nolr Rgrsso So populr
Note: Torque is prop. to current Stationary voltage is prop. to speed
DC Mach Cotrol Mathmatcal modl. Armatr ad orq f m m a m m r a a a a a dt d ψ ψ ψ ω Not: orq prop. to crrt Statoary voltag prop. to pd Mathmatcal modl. Fld magtato f f f f d f dt a f ψ m m f f m fλ h torq
Fun and Fascinating Bible Reference for Kids Ages 8 to 12. starts on page 3! starts on page 163!
F a Faa R K 8 12 a a 3! a a 163! 2013 a P, I. ISN 978-1-62416-216-9. N a a a a a, a,. C a a a a P, a 500 a a aa a. W, : F G: K Fa a Q &, a P, I. U. L aa a a a Fa a Q & a. C a 2 (M) Ta H P M (K) Wa P a
Gauge 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
Mat 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
Ch. 22: Classical Theory of Harmonic Crystal
C. : Clssl Toy o mo Cysl gl o ml moo o o os l s ld o ls o pl ollowg:. Eqlbm Pops p o ls d Islos Eqlbm sy d Cos Egs Tml Epso d lg. Tspo Pops T pd o lo Tm Fl o Wdm-Fz Lw pody Tml Cody o Islos Tsmsso o od.
Submitted by: For reading
2 3 4 6 7 Sbmd by: QlaKS Prpard by: APPRO For radn _ 2 OTCE OF RECONSDERATON WAS AnhoraAlaka GVEN BY MS TAYLOR 66 AR 33 \/ 7/3?7 Charman o h Ambly a h Rq o h Mayor Commny Plannn and Dvlopmn MAY 2 A RESOLTON
EE 232 Lightwave Devices. Photodiodes
EE 3 Lgwav Dvcs Lcur 8: oocoucors a p-- ooos Rag: Cuag, Cap. 4 Isrucor: Mg C. Wu Uvrsy of Calfora, Brkly Elcrcal Egrg a Compur Sccs Dp. EE3 Lcur 8-8. Uvrsy of Calfora oocoucors ω + - x Ara w L Euval Crcu
1a.- Solution: 1a.- (5 points) Plot ONLY three full periods of the square wave MUST include the principal region.
INEL495 SIGNALS AND SYSEMS FINAL EXAM: Ma 9, 8 Pro. Doigo Rodrígz SOLUIONS Probl O: Copl Epoial Forir Sri A priodi ri ar wav l ad a daal priod al o o od. i providd wi a a 5% d a.- 5 poi: Plo r ll priod
A 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
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
Boyce/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
Almost Unbiased Exponential Estimator for the Finite Population Mean
Rajs Sg, Pakaj aua, rmala Saa Scool of Sascs, DAVV, Idor (M.P., Ida Flor Smaradac Uvrs of Mco, USA Almos Ubasd Epoal Esmaor for F Populao Ma Publsd : Rajs Sg, Pakaj aua, rmala Saa, Flor Smaradac (Edors
Quantum 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
On the Hubbard-Stratonovich Transformation for Interacting Bosons
O h ubbrd-sroovh Trsformo for Irg osos Mr R Zrbur ff Fbrury 8 8 ubbrd-sroovh for frmos: rmdr osos r dffr! Rdom mrs: hyrbol S rsformo md rgorous osus for rg bosos /8 Wyl grou symmry L : G GL V b rrso of
LM A F LABL Y H FRMA H P UBLCA B LV B ACCURA ALL R PC H WVR W C A AU M RP BLY FR AY C QUC RUL G F RM H U HR F H FRMA C A HR UBJC CHA G WHU C R V R W H
H R & C C M RX700-2 Bx C LM A F LABL Y H FRMA H P UBLCA B LV B ACCURA ALL R PC H WVR W C A AU M RP BLY FR AY C QUC RUL G F RM H U HR F H FRMA C A HR UBJC CHA G WHU C R V R W H PUBLCA M AY B U CRP RA UCH
Ciência e Natura ISSN: Universidade Federal de Santa Maria Brasil
êca Nara ISSN: 000-8307 ccaararva@gmal.com Uvrdad Fdral d Saa Mara Bral Mar Morra Davdo A m-aalcal dro modl from a ad orc of hor drao êca Nara vol. 36 04. 49-59 Uvrdad Fdral d Saa Mara Saa Mara Bral Avalabl
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
82A Engineering Mathematics
Class Nos 5: Sod Ordr Diffrial Eqaio No Homoos 8A Eiri Mahmais Sod Ordr Liar Diffrial Eqaios Homoos & No Homoos v q Homoos No-homoos q ar iv oios fios o h o irval I Sod Ordr Liar Diffrial Eqaios Homoos
Chapter 5 Transmission Lines
ap 5 ao 5- aacc of ao ao l: a o cou ca cu o uppo a M av c M o qua-m o. Fo M o a H M H a M a µ M. cu a M av av ff caacc. A M av popaa o ff lcc a paal flco a paal ao ll occu. A ob follo ul. ll la: p a β
Unbalanced Panel Data Models
Ubalacd Pal Data odls Chaptr 9 from Baltag: Ecoomtrc Aalyss of Pal Data 5 by Adrás alascs 4448 troducto balacd or complt pals: a pal data st whr data/obsrvatos ar avalabl for all crosssctoal uts th tr
How to construct international inputoutput
How to construct international inputoutput tables (with the smallest effort) Satoshi Inomata Institute of Developing Economies JETRO OVERVIEW (1) Basic picture of an international input-output table (IIOT)
Poisson Arrival Process
Poisso Arrival Procss Arrivals occur i) i a mmylss mar ii) [ o arrival durig Δ ] = λδ + ( Δ ) P o [ o arrival durig Δ ] = λδ + ( Δ ) P o P j arrivals durig Δ = o Δ f j = 2,3, o Δ whr lim =. Δ Δ C C 2 C
Comparisons of the Variance of Predictors with PPS sampling (update of c04ed26.doc) Ed Stanek
Coparo o th Varac o Prdctor wth PPS aplg (updat o c04d6doc Ed Sta troducto W copar prdctor o a PSU a or total bad o PPS aplg Th tratgy to ollow that o Sta ad Sgr (JASA, 004 whr w xpr th prdctor a a lar
3.4 Properties of the Stress Tensor
cto.4.4 Proprts of th trss sor.4. trss rasformato Lt th compots of th Cauchy strss tsor a coordat systm wth bas vctors b. h compots a scod coordat systm wth bas vctors j,, ar gv by th tsor trasformato
Chapter 4 Modeling A PCB Assembly Using FDTD Method
hapr 4 Modlg A P Assmbl Usg FT Mhod 4. roduo hapr 3 provds h bas algorhms of h FT mhod modlg a hrdmsoal P assmbl. hs hapr a mpora asp of P modlg h luso of lumpd ompo modls suh as rssor apaor duor wr dod
CAT. NO /irtl,417~ S- ~ I ';, A RIDER PUBLICATION BY H. A. MIDDLETON
CAT. NO. 139-3 THIRD SUPPLEMENT I /irtl,417~ S- ~ I ';,... 0 f? BY H. A. MIDDLETON.. A RIDER PUBLICATION B36 B65 B152 B309 B319 B329 B719 D63 D77 D152 DA90 DAC32 DAF96 DC70 DC80 DCC90 DD6 DD7 DF62 DF91
Poisson Arrival Process
1 Poisso Arrival Procss Arrivals occur i) i a mmorylss mar ii) [ o arrival durig Δ ] = λδ + ( Δ ) P o [ o arrival durig Δ ] = 1 λδ + ( Δ ) P o P j arrivals durig Δ = o Δ for j = 2,3, ( ) o Δ whr lim =
Lecture 7 Diffusion. Our fluid equations that we developed before are: v t v mn t
Cla ot fo EE6318/Phy 6383 Spg 001 Th doumt fo tutoal u oly ad may ot b opd o dtbutd outd of EE6318/Phy 6383 tu 7 Dffuo Ou flud quato that w dvlopd bfo a: f ( )+ v v m + v v M m v f P+ q E+ v B 13 1 4 34
Series of New Information Divergences, Properties and Corresponding Series of Metric Spaces
Srs of Nw Iforao Dvrgcs, Proprs ad Corrspodg Srs of Mrc Spacs K.C.Ja, Praphull Chhabra Profssor, Dpar of Mahacs, Malavya Naoal Isu of Tchology, Japur (Rajasha), Ida Ph.d Scholar, Dpar of Mahacs, Malavya
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
Chp6. pn Junction Diode: I-V Characteristics II
Ch6. Jucto od: -V Charactrstcs 147 6. 1. 3 rvato Pror 163 Hols o th quas utral -sd For covc s sak, df coordat as, - Th, d h d' ' B.C. 164 1 ) ' ( ' / qv L P qv P P P P L q d d q J '/ / 1) ( ' ' 같은방법으로
THE ROYAL STATISTICAL SOCIETY 2016 EXAMINATIONS SOLUTIONS GRADUATE DIPLOMA MODULE 1
TH ROAL TATITICAL OCIT 6 AINATION OLTION GRADAT DILOA ODL T oci i providig olio o ai cadida prparig or aiaio i 7. T olio ar idd a larig aid ad old o b a "odl awr". r o olio old alwa b awar a i a ca r ar
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
A New Finite Difference Time Domain Scheme for the Evaluation of Lightning Induced Overvoltages on Multiconductor Overhead Lines
A Nw F Dffrc Tm Doma Scm for aluao of Iducd Orola o Mulcoducor Orad M. Paolo.A. Nucc Ury of Boloa Dparm of lcrcal r 46 Boloa Ialy {maro.paolo carloalbro.ucc}@mal..ubo. F. Racd Sw Fdral Iu of Tcoloy Powr
Council Forms Bloc For Crnrus Mediation
G RY Of ; O Of 5 ; B k 7 f - L F 7 96 55 Q * x k k O F B F R R-- Bk j f K k f «* v k f F B - k f O k f J "Oz x f ff - q k R () ff kk f k k O f 5 f - f " v v ' z f k " v " v v z 95 k " Kfv k 963 ff ff f
S.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15]
![S.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15]](/thumbs/92/108666103.jpg "S.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15]")
S.Y. B.Sc. (IT) : Sm. III Applid Mahmaics Tim : ½ Hrs.] Prlim Qusion Papr Soluion [Marks : 75 Q. Amp h following (an THREE) 3 6 Q.(a) Rduc h mari o normal form and find is rank whr A 3 3 5 3 3 3 6 Ans.:
Anouncements. 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
. L( )WE WEEKLY JOURNAL.
) Y R G V V VV ) V R R F RP : x 2 F VV V Ṅ : V \ \ : P R : G V Y F P 35 RP 8 G V : % \ V X Q V < \ V P R V \ V< R VRG : Y ) P [ < _ & V V 6 :: V } V x V V & x 2 ) 3 RR & 8 \ R < Y q GR : XR < R V R % 7
By Joonghoe Dho. The irradiance at P is given by
CH. 9 c CH. 9 c By Joogo Do 9 Gal Coao 9. Gal Coao L co wo po ouc, S & S, mg moocomac wav o am qucy. L paao a b muc ga a. Loca am qucy. L paao a b muc ga a. Loca po obvao P a oug away om ouc o a a P wavo
THIS 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
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
Introduction to logistic regression
Itroducto to logstc rgrsso Gv: datast D { 2 2... } whr s a k-dmsoal vctor of ral-valud faturs or attrbuts ad s a bar class labl or targt. hus w ca sa that R k ad {0 }. For ampl f k 4 a datast of 3 data
NUMERICAL SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS If e eqao coas dervaves of a - order s sad o be a - order dffereal eqao. For eample a secod-order eqao descrbg e oscllao of a weg aced po b a sprg
U1. 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
Special Curves of 4D Galilean Space
Irol Jourl of Mhml Egrg d S ISSN : 77-698 Volum Issu Mrh hp://www.jms.om/ hps://ss.googl.om/s/jmsjourl/ Spl Curvs of D ll Sp Mhm Bkş Mhmu Ergü Alpr Osm Öğrmş Fır Uvrsy Fuly of S Dprm of Mhms 9 Elzığ Türky
W I T H M A L I C E T O W ^ - R D I S T O N E AISTE) C H A R I T Y F O R A L L / SENT TO IONIA.
UB80B > R K? > V ( $ R AR 0 J ADVR RA DRA A L - R D A) A R Y R A L L / VL LLL K UY DBR 30 893 2 A - ( AL AL ; A (! -- DA R DG
Math Tricks. Basic Probability. x k. (Combination - number of ways to group r of n objects, order not important) (a is constant, 0 < r < 1)
Math Trcks r! Combato - umbr o was to group r o objcts, ordr ot mportat r! r! ar 0 a r a s costat, 0 < r < k k! k 0 EX E[XX-] + EX Basc Probablt 0 or d Pr[X > ] - Pr[X ] Pr[ X ] Pr[X ] - Pr[X ] Proprts
The real E-k diagram of Si is more complicated (indirect semiconductor). The bottom of E C and top of E V appear for different values of k.
Modr Smcoductor Dvcs for Itgratd rcuts haptr. lctros ad Hols Smcoductors or a bad ctrd at k=0, th -k rlatoshp ar th mmum s usually parabolc: m = k * m* d / dk d / dk gatv gatv ffctv mass Wdr small d /
Reliability analysis of time - dependent stress - strength system when the number of cycles follows binomial distribution
raoal Joural of Sascs ad Ssms SSN 97-675 Volum, Numbr 7,. 575-58 sarch da Publcaos h://www.rublcao.com labl aalss of m - dd srss - srgh ssm wh h umbr of ccls follows bomal dsrbuo T.Sumah Umamahswar, N.Swah,
ELEC 6041 LECTURE NOTES WEEK 3 Dr. Amir G. Aghdam Concordia University
ecre Noe Prepared b r G. ghda EE 64 ETUE NTE WEE r. r G. ghda ocorda Uer eceraled orol e - Whe corol heor appled o a e ha co of geographcall eparaed copoe or a e cog of a large ber of p-op ao ofe dered
The World s Most Effective Midway Traffic Builders!
Wr v r Br! 1 5 G 2 V 400 V 400 F U V 400 U V JU 10-19 rk Frr 1600 U - 1600 (r r 2000) G, W, r r Fr 5:00p- v r B J & J U r p 1600 rv rb, r r bv p pr pr rqr U W, G, F W U, W, r & Fr: 5p- : & 1p- V 400 F
Approximate 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
-Z ONGRE::IONAL ACTION ON FY 1987 SUPPLEMENTAL 1/1
-Z-433 6 --OGRE::OA ATO O FY 987 SUPPEMETA / APPR)PRATO RfQUEST PAY AD PROGRAM(U) DE ARTMET OF DEES AS O' D 9J8,:A:SF ED DEFS! WA-H ODM U 7 / A 25 MRGOPf RESOUTO TEST HART / / AD-A 83 96 (~Go w - %A uj