Development of a Dynamic Model of a Small High-Speed Autonomous Underwater Vehicle

Size: px
Start display at page:

Download "Development of a Dynamic Model of a Small High-Speed Autonomous Underwater Vehicle"

Transcription

1 lp i Ml Sll Hi-Sp Uw Vil Hi N., il J. Silwll Bl p Elil p Eii Viii Pli Ii S Uii Bl, V 1 Eil: {, ilwll P : i p, Wii, KS 777 W L. N p p O Eii Viii Pli Ii S Uii Bl, V 1 i l i lp ll, ip w il. il l pp wii p p i ipl, w i qi - li ip il wi. p ii i l, wi i p i il, ili pl i w i il p i li l i wi pill i i ii. I. INROUION Wil ipi i l il i li, i pp, wi i il i, pil pl ip li qi i i li l ipi i ii i pil w-i UV. I ii il li i -- OF i l, w ii - i qi ip UV wi, wi l. i 7.9 l. ipl. UV li i wi l l ppli i. ii p p i l I i i Fi 1. II. RIGI-BOY KINEMIS. i i L X, Y, Z iill i i wi i 1,, 3 l,, -i G Fi. 1. L R B Si pi UV. 3 1 BLE I VLUES OF HE SYSEM BSE IMENSIONS N PRMEERS. P Vl Ui P Vl Ui L 39. i F 7. l R 1. i l i S = 1 i i ρ 1.9 l/ i 3. / i wi i i, j,. w i l q El i l Φ = {φ, θ, ψ} Fi. O q i i i { 1,, 3 } = Φ {i, j, } ψ θ ψ φ + ψ θ φ ψ φ + ψ θ φ ψ θ ψ φ + ψ θ φ ψ φ + ψ θ φ θ θ φ θ φ 1 w i. W = I, ii i, i i 1 =., -i li = {,, w} UV i li p li iil i l Ṙ = Φ w R = {X, Y, Z}. M, l li Ω = {p, q, } i -i i p Ω = φ 1 + θ + ψ 3 = φ θ ψi + φ θ + θ φ ψj + φ θ + θ φ ψ pi + qj + 3, -i l li El Φ = { φ, θ, ψ} l i Φ = GΦΩ w G =. 1 φ θ φ θ φ φ φ / θ φ / θ,g 1 = 1 θ φ θ φ φ φ θ

2 X 1 X X q G B Y Y 1,Y III. KIRHHOFF S EQUIONS OF MOION FOR BOY IN INVISI FLUI. Si-OF Ml q Z Z,Z 1 li P l H l i i UV B i Fi.. Si pi UV wi iil i i. B. Gi l I ili i--- i UV ill l l i i, l i l pl. W i l i li p,, w, ill i Fi 3, i llwi : 1 Wi l χ l σ: F = V χ, = V i χ i σ, w = V i χ σ, w χ = + w σ = w Pi-i i l l β: F = V β, = V i β, w = V β i, w = w β = + w 7 3 Yw-i i i-lip l γ l ν: F = V ν γ, = V ν i γ, w = V i ν, w γ = ν = w B ^ ^ w + Fi. 3. Si pi UV illi l i l i liip li. P = M + Ω H = + JΩ 9 F ii i iii li, Ki qi i i -i [1]: P = P Ω + FΦ, 1 H = H Ω + P + MΦ, 11 w F M l i il i i i. F ii, l il wi,,, l, i l. S l il G B pi, l, i, ppll ll. Ii 9 i 1 11 il: M + Ω =[M + Ω Ω]+FΦ, 1 + J Ω =[ + JΩ Ω]+[M + Ω ] + MΦ, 13 I ii i M, J,, llwi pi : 1 F pp ii ii, w ppi UV li il li w piipl B. H, ll - ii i. il i li i R =1. i i l L = 3 i, wi l i i il i liil l. F pp ii, UV i ll p pl., ll il i. ii il ll i l il l pl pi w piipl p il B, ill i Fi.,, ii, pli i

3 B Vi F = V ^ M F ^ B ^ ^ Fi.. Si pi UV pl pi i. /li il M = X Y, Zẇ J = J Kṗ J M q, J Nṙ = 1 w J = 1 R, J = J = 1 1 3R + L. Spii F UV, i l F ρ i ll =, w ρ i i w i iil li. i = R, pil, j i i- pi qi l = π 3 R = il = p [] 1 3F ρπr., X = 1, Y = Zẇ =, Kṗ =, M q = Nṙ = 3 J 1 w = ρ i ipl li, J = J = 1 + R ii pil li, 1 =, = β β, 3 = β [ β, ] = 1 [ ] l, 1 β = l,= B. S-S Mi - i UV i i i i ii P H = =i I i, UV i llw l p. i i i P Ω + FΦ, = 17 H Ω + P + MΦ, = 1 1 N p i il i =1 i R. []. Fi.. Si pi UV wi pill.. Sli S- Mi F li - i, i i l li Ω UV l ii li. ql, 17 1 llwi: w P = M. FΦ, = 19 P + MΦ, = IV. FORES N MOMENS. UV B Hi w- Nl Hi L UV plll l li wll pi l B. UV w iil i w-i, w l ppll. UV w ll G w pl B., UV ll i l i pp UV. F ll -OF l, li p l ll ppil,,. ql, l l ll l, pill F ξ li ˆF ζ l l w ξ ˆζ, wi li i pl B wi li l li, ill i Fi. M, pill pi ˆMη i l i ˆη i ppil pl B. i ii UV w i pill χ [, ] pi []. I Fi -, pi, ˆζ-F ˆF ζ, ˆMη i χ w p,, 1. l l B. I Fi, l χ = ii w. Fllwi 19, i i l i li l l i UV, wi il

4 l 3 1 l ^ F ζ 3 -F ^ ζ 1 V = V = V = 1 ζ. ^.1 i i i -.1 L -. ξ -. i i V = V = V = 1 Plil Fi ị -1 l η ^ - M -3 - M- ^η χ χ 1 1 l χ 1 1 V η ^.1 i.1 i. i P M l χ l χ.1 i i. M-. l -.1 M l χ l χ Fi.. NHL pil. Fi. 7. Hi ii pil i pi plil i. wi., i li F ξ = F ξ i ξ = F ξ χi +iχ i σj +iχ σ 1 ˆF ζ = ˆF ζ iˆζ = ˆF ζ i χi +χ i σj +χ σ w F ξ = ξ χp L ˆF ζ = ĈζχP L. ii ξ l ξ = πr L i p P i l p V P = 1 ρv = 1 ρ + + w 3 L pill, -p UV p i pii, i ˆM η = ˆM η iˆη = ˆM η σj i σ l l i pi UV i M = M i + M j + M., i llw Ni ˆM η = P + M P P, i + P, j + P, = M =[ + 1 ] i +[ + ] j +[ + w] P i P = 1 V χ i χ σj 1 V χ i χ i σ i li ip i il iii li l. W χ, i i i i 1 =.., p. F, p pi l M =i.., ll w [ M = ˆMη 1 V χ i χ] σ = χp L 3 σ 7 [ ] M = ˆMη 1 V χ i χ i σ = χp L 3 i σ χ =Ĉηχ 1 χ i χ ρl 3 9 F i Fi, i ii p p i Fi 7 wi p χ. W w χ>, i pi pw w χ<, i pi ww. Fi 7 ii Ĉ ζ < χ> ˆF ζ < ; i, pw li i. i l χ<. Fi 7 ii ξ < χ 1 F ξ < ; i, i p. Fi 7 7 w ii pi Ĉη l ii. F Fi 7, 7, 7, i ii Ĉζ, Ĉη, ip p w, Fi 7, ii ξ i lil wi p. i i ppi i ii wi χ, l l w i p < χ ll w i i i- i plil i. F ξ, pi V = w i i i p l pi w pp V =1 lw V =. i l pl i Fi 7 l χ 1.

5 B. UV B F M wi F w, F, F F w = F w 3 = F w i θi +θi φj +θ φ 3 F = F 3 = F i θi +θi φj +θ φ 31 F = F i 3 w F w =. L = i + j + pii B G., wi M w B ql M w = F w. M, ppll ll -i i M p = M p i. UV l S Hi w i Fi, w -i i i i plll wi l., l li i pl il i l li i pl il i. l pil N1-3 iil [3] wi l pl S. _ ~ V ~ _ V w B Fi.. Si pi UV lw-p il i wi i l. 1 Hil Fi: L δ 1 δ l li il i 1. Fi i i i B wi i 1,, 3. l -i i i 1 3 = 3 δ i δ 1 i δ δ 1 i j, =1, 33 W i i l i.., δ 1 = δ =, i li wi,, -i i. i li L il i, w pj li pl i p V = V β, wi li l -i. ii 1 = κ 1 + δ 1 = κ + δ i l i, w κ 1 = κ =. i il lpi il i i l, i Fi 9 L = L PS = PS 3 w = 1, P = 1 ρ V. pi F = 1 N 3 = [ κ L iκ ] i [ iκ +L κ ] 3 L 1 = i + j = i j B i i 1, pil., i B M = F =1,. Vil Fi: L δ 3 δ l li il i 3 w i Fi. Fi i i i wi i 1,, 3. l -i i i 1 3 = δ i δ i δ δ 1 i j, =3, 3 W i l i.., δ 3 = δ =, i li wi,, -i i. i li L il i, w pj li pl i p Ṽ = V ν, wi li l γ -i. Li γ 3 = κ 3 γ δ 3 γ = κ γ δ i l i w κ 3 = κ =., i Fi 9 L = L γ PS = γ PS 37 = +,, Fi V _ L N 3 _ Hil Fi ~ 1 ~ V L N = -, 3, ~ Vil Fi Si pi l. ~

6 w P = 1 ρṽ. pi F = 1 N = [ κ γ L iκ γ] i [ iκ γ+l κ γ] j 3 L 3 = i + = i B i i 3 i, pil., i B M = F =3,.. l F M Si ll l wll l B i F = F i + F j + F = F ξ + ˆF ζ + F w + F + F + F 1 + F + F 3 + F 39 M = M i + M j + M = M + M p + M w + M 1 + M + M 3 + M V. SEY-SE PIH-XIS MOION Eqi 7 i wi 3 ii ii pili i l pii i, w il i l wi l δ. B i i i pl, l χ =. - pl i l, G li l -i, l, i li δ i p V. I Fi 1, w p ii wi V - i ii δ =. l UV wi l. F Fi 1, w i wi il ii p 7 wi UV l pii i l. O, i i wi l il i p. F Fi 1. w l wi <, il i pl i li qi l wi V 1. Siil l p i Fi 1 w UV i l. w iil i Fi 11 wi i i. 1 1 l B 1 1 l Epill U-l Ri =.1 i =. i =.3 i =. i =. i Sp V l i F δ i l l 1 i F - Ri Fi Sll Sp V Fi. 11. Il i i l UV w i llw l. 1 l B l Epill U-l Ri =.1 i =. i =.3 i =. i =. i Sp V l i F 1 1 δ i 3 l l 1 i F -1 Ri Fi Sll Sp V Fi. 1. Il i i l UV w i llw l. l 1 1 -l H 3-l H -l H Sp V l Sp V Fi. 1. Il i UV wi-- i l i ii i li I Fi 11, w w ii,,, δ wi V l G pii B, w UV i l. W i δ l lw p lil i p. B, i l ii pii p. VI. KNOWLEGMEN i M. Bill B P. G Wi Nl Hi L l pii l w ili i i pp. l P. i Wl Viii i pi i i il. i w w pp i p Oi Nl R i N131. REFERENES [1] H. L, Hi, Uii i P, Si Eii, 193. []. I. F, Gi l O Vil, Wil, i, El, 199. [3] I. H.. E., Wi Si,, Nw Y, 199. [] W. B, pl p,.

Helping Kids Prepare For Life (253)

Helping Kids Prepare For Life   (253) Hlpi Ki Pp F Lif.l.i. (253)-589-7489 Tilli it it L Livit iv f fiv CIS U H. Vip pt fll t Tilli Elt l tpi tff tt f vi t t CIS T Hll f i Cltt N Cli. - L ivi i CIS f Bill Milli CIS pit Dil Cili Ti l iz it

More information

From thriving city cycle paths to calm and tranquil car-free routes, the UK offers some of the most stunning and varied bike rides around.

From thriving city cycle paths to calm and tranquil car-free routes, the UK offers some of the most stunning and varied bike rides around. Vii i ii 195 0 i Wi T f l W Wi l W ilw li l p l i i v i, F f i qil f. UK ff i bik k i l p v p f li lp j i S, p Bii x l w w lv, w k ff i i v f f i w i l v l pbli l p. l k fi b il v l l w i f i f T f f i.

More information

Your generosity brings smiles and hope!

Your generosity brings smiles and hope! Mil Wi l J - M 2014 i El L A Mi R & M C S Li J Li Di Li & Ki C Ai & Mil L C G J L Li Di Ci Li S W J L B Aiil Bill & R MDll Cli MDll Hl MGi J MGi B MGi Cl M Ai Mil AFL-CIO Pli El Fi Mll N Ciii Ci M Ril

More information

BLESSINGS... Abundance to Share

BLESSINGS... Abundance to Share V l 5 6 T Gi I 6 j 2 0 1 1 BLESSINGS... A S I f F P C i i ii i G i f f l lii. O l Bli A S J 5 lli Cl S. T l f i l li G i fili i i f li l ii f f. Eliii l $1.5 illi fili ill j. I i G f qi x i i l i ii. I

More information

October The Houstonian 111 North Post Oak Lane Houston, Texas Tues, Oct. 24 8am 5pm (Cocktail reception + Cookout)

October The Houstonian 111 North Post Oak Lane Houston, Texas Tues, Oct. 24 8am 5pm (Cocktail reception + Cookout) il! b R! if f l iv, l i. I i R il l p v k b! L i G N b, f R i l p f k il l i Ob 24 26 T Hi 111 N P Ok L H, Tx 77024 T, O. 24 8 5p (Ckil pi + Ck) W, O. 25 8 5p T, O. 26 8 11:30 i f i k b, i x p p v i f

More information

» 2016 MEDIA KIT KIT» 2016 MEDIA KIT. 125 Park St., Suite 155 Traverse City, MI mynorth.

» 2016 MEDIA KIT KIT» 2016 MEDIA KIT. 125 Park St., Suite 155 Traverse City, MI mynorth. » 2016 I KI KI» 2016 I KI 125 P S Si 155 v i I 49684 19418174 l@vzi » 2016 I KI Vi! l pblii pi N ii i 375000 ppl f i i bb ll Sl 81415 » 2016 I KI F v N ii zi Vi! v i F v N ii zi Vi! Fif L Il Kil illib

More information

MEDWAY SPORTS DEVELOPMENT

MEDWAY SPORTS DEVELOPMENT PB 2:L 1 13:36 P 1 MEDWAY SPTS DEVELPMENT.m.v./vlm A i 11 Bfil Sl i P-16 FE C? D v i i? T l i i S Li Pmm? B fi Ti iq l vlm mm ill l vl fi, mivi ill vii flli ii: l Nm S l : W Tm li ii (ili m fi i) j l i?

More information

Dear Friends. St. John the Baptist Greek Orthodox Church Sterling Heights, Michigan. Volume 25 Issue 6 June, July & August 2018

Dear Friends. St. John the Baptist Greek Orthodox Church Sterling Heights, Michigan. Volume 25 Issue 6  June, July & August 2018 D Fi J Bi k x li i ii Vl 25 6 j J Jl & 2018 JR ER FE DY (B i k) JE 3 RD - LL : iil i l i ii il i i li k l k vi i vi i li i l iii lvi B l ii k l vi vil lik i iii li i i i l l l i W i i i v ji i k lik l

More information

Visit to meet more individuals who benefit from your time

Visit   to meet more individuals who benefit from your time NOURISHINGN G. Vlz S 2009 BR i y ii li i Cl. N i. J l l. Rl. A y l l i i ky. Vii.li.l. iiil i y i &. 71 y l Cl y, i iil k. 28 y, k My W i ily l i. Uil y, y k i i. T j il y. Ty il iy ly y - li G, y Cl.

More information

APPRENTICESHIPS. A guide for learners

APPRENTICESHIPS. A guide for learners PPRENTCESHPS ui l 1 F ii vii u.kll..uk/ii ll u 0178 60747 C ui 1 W ii? - T 10 bi i 5-6 M i 7-8 F (Fqul k ui) 9-1 Fiv bi i 1-14 W Sk T Cll? 15-16 W k? S i u.kll..uk/ii Yu uu Wl Sk T Cll. u kik u quliii

More information

Your Choice! Your Character. ... it s up to you!

Your Choice! Your Character. ... it s up to you! Y 2012 i y! Ti i il y Fl l/ly Iiiiv i R Iiy iizi i Ty Pv Riiliy l Diili Piiv i i y! 2 i l & l ii 3 i 4 D i iv 6 D y y 8 P yi N 9 W i Bllyi? 10 B U 11 I y i 12 P ili D lii Gi O y i i y P li l I y l! iy

More information

Student Jobs Fairs. YOUR ticket to student recruitment in Birmingham 2015 Version 1

Student Jobs Fairs. YOUR ticket to student recruitment in Birmingham 2015 Version 1 S J Fi YOUR i i i Biih 215 Vi 1 Wl D vi -i/l vi vi v 28,? Th l fh h J Z h Gil f S h vi f f l vii ii i il Wl W 214 i i f 6, v 12, i hh h Gil, f h hi f -i/l vi ii h hil h Th i i vi j ii hi i Oii h J Z, Gil

More information

Equipping students to think biblically, live wisely and serve faithfully for over 30 years. MAY 2015 IMPORTANT DAYS IN MAY:

Equipping students to think biblically, live wisely and serve faithfully for over 30 years. MAY 2015 IMPORTANT DAYS IN MAY: MAY 2015 IMPORTANT DAYS IN MAY: PCS Piw D M, 5/4 Bl W, 5/20 Gi S, 5/24 L D f Sl W, 5/27 Eqii ik ill, wil fifll f 30. PARK CHRISTIAN SCHOOL w; i i w i m l M iw w m l f i W, f w i, Y Cil i w i q, w, i i

More information

HOMEPAGE. The. Inside. Beating the MARCH New Faces & Anniversaries. Spring Recipes. Beating the Winter Blues. ADP Rollout

HOMEPAGE. The. Inside. Beating the MARCH New Faces & Anniversaries. Spring Recipes. Beating the Winter Blues. ADP Rollout T ARCH 2015 HOEPAGE A i f l f Oi H i ffili izi i 2 3 4 6 7 8 8 N F & Aivi Si Ri Bi Wi Bl AP Rll G Hl S N! HR C Tivi Bi T xil 89 f i l i v vi ll i fl lik 189! T illi ki; i f fi v i i l l f f i k i fvi lk

More information

BULLETIN THE BULLETIN OCTOBER VICTOR VALLEY NEWSLETTER OF MINERAL CLUB GEM AND THE PH. (760) TOR VALLEY GEM & MINERAL

BULLETIN THE BULLETIN OCTOBER VICTOR VALLEY NEWSLETTER OF MINERAL CLUB GEM AND THE PH. (760) TOR VALLEY GEM & MINERAL S il M il S Vi Vll G & Mil Cl 15056-B Sv S Vivill, CA 92395-3811. BULLETIN i i i l l l li VICTOR VALLEY GEM & MINERAL CLUB i i i g. V i x i ī l i i BULLETIN il l VIC- TOR VALLEY GEM & MINERAL CLUB. R i

More information

INDICATIONS HERE OF BANNER SEASON

INDICATIONS HERE OF BANNER SEASON U l i 3 G Y i J«K W ll Gl ' - i W JY Y 6934 V 47; 87 il 4 ll l x K i Kl il li G G il ii i ix Wi lii i l i 2 W Wi i l il i % l i Vii i i i K l i - x i i ll l Vii l q illl ' ii i i i il li i--l i G 934 G

More information

Atlantic County Properties

Atlantic County Properties () li i () li i () li i V li i li i ii ib ii ii ii i &. ii ii l ii iii bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - bf i - - bf i - bf i - bf i - bf i - bf

More information

A Rainy End to Summer

A Rainy End to Summer 6 18 115 $1 ig J l i 15 Vii li illiig Tl 75-6-7678 il illiig@gil @ l Cliig i E il l i ll ig H F Cil i i li f Ni N T i, il l j g i l b l f ll, ill i, b i i l f gig i H F g ii Cil P i Jl Ti Wil i l ll, i

More information

HPLC/UHPLC Columns. Limit 5 columns per company. Excludes guard columns. Offer applies to columns with 4.6 mm ID. Specialty LC Columns

HPLC/UHPLC Columns. Limit 5 columns per company. Excludes guard columns. Offer applies to columns with 4.6 mm ID. Specialty LC Columns Clb Y-E wi Billi Svigs! Expis: Db 15, 2017 Mi ff : CYP17 G FREE Lii Eii Gl Nbi! w lb f g i is s i b N vy s l i O G 3 i ip i P. y lb. p ll g li l REE p F ii iv i li 0 ly 10 y B y! j f g i p Nbis p i y b

More information

INSIDE. Summary. A behind-the-curtain look at the artists, the company and the art form of this production. NewVictory.

INSIDE. Summary. A behind-the-curtain look at the artists, the company and the art form of this production. NewVictory. Ti i i ll N Viy Sl Tl R Gi F ml i, ili imi b N Viy i Dm, k : NViy/SlTl INSID A bi--i lk i, my m i i COON COR STANDARDS Ri: 2; 7 Wii: 2; 4 Ski ii: 1; 2; 4 : 1; 2; 4 NW YORK STAT STANDARDS A: Ci, Pmi, Ri,

More information

ERROR SPACE MOTION CONTROL METHODOLOGY FOR COMPLEX CONTOURS. Robert G. Landers

ERROR SPACE MOTION CONTROL METHODOLOGY FOR COMPLEX CONTOURS. Robert G. Landers ERROR SPACE MOION CONROL MEHODOLOGY FOR COMPLEX CONOURS Rb G. L Ai J f C. 7, N., pp. -8, Mh 5 Ai J f C,. 7, N., pp. -8, Mh 5 ERROR SPACE MOION CONROL MEHODOLOGY FOR COMPLEX CONOURS Rb G. L ABSRAC Mi i

More information

albuquerquefoundation.org

albuquerquefoundation.org ip y W i 2 0 1 8 G i v i M W pw f y vy y: pii wi f i p i yi vi i vi -- v ffi Bi I! I wy w Aqq Ciy Fi wi w v f ip. I pipy iv ip f ip izi i ff - i. P y xi i iff - pi piv pfi - y i wi vy iff pp. 2018 piv

More information

T HE 1017TH MEETING OF THE BRODIE CLUB The 1017th Meeting of the Brodie Club was held at 7:30 pm on January 15, 2008 in the R amsay Wright Laboratorie

T HE 1017TH MEETING OF THE BRODIE CLUB The 1017th Meeting of the Brodie Club was held at 7:30 pm on January 15, 2008 in the R amsay Wright Laboratorie 1017 MN OF BRO LUB 1017h M Bi lu hl 7:30 u 15, 2008 R Wih Li Uivi. hi: : A h 28 u. u: hl M, u A i u, u vi ull R : K Ah, Oliv B, Bill Rl N W BUN: M u vl: l v, Bu Fll, v ull l B u Fll i Fu k ul M, l u u

More information

business health care technology art& design Teaching what matters: real world practicality.

business health care technology art& design Teaching what matters: real world practicality. i l l & i Ti w : l wl ili. i l l &i Li Tii Pvi i 6 W DI ll 8 DI ll i i 10 Bi P 18 Hl P 26 Tl P 31 A & Di P 34 Pi Pl 35 Svi 36 Aii Ifi 37 Tii Fii Ifi 38 DI ll Ali 40 wi wl Wl DI ll T i, l, l i i v. El l

More information

Future Self-Guides. E,.?, :0-..-.,0 Q., 5...q ',D5', 4,] 1-}., d-'.4.., _. ZoltAn Dbrnyei Introduction. u u rt 5,4) ,-,4, a. a aci,, u 4.

Future Self-Guides. E,.?, :0-..-.,0 Q., 5...q ',D5', 4,] 1-}., d-'.4.., _. ZoltAn Dbrnyei Introduction. u u rt 5,4) ,-,4, a. a aci,, u 4. te SelfGi ZltAn Dbnyei Intdtin ; ) Q) 4 t? ) t _ 4 73 y S _ E _ p p 4 t t 4) 1_ ::_ J 1 `i () L VI O I4 " " 1 D 4 L e Q) 1 k) QJ 7 j ZS _Le t 1 ej!2 i1 L 77 7 G (4) 4 6 t (1 ;7 bb F) t f; n (i M Q) 7S

More information

RTPR Sampler Program

RTPR Sampler Program P Sl P i H B v N Ahi kd f hl qi N hk F N F N S F N Bkffi F N lid Si F $99.95 Sl Pk Giv 365 bhi Ad w will hw hw h $99.95 il b dd Z P Sl P i H B v Hih wd A Sihfwd i Pl wih f di v : B ii 1 i 6.25% 2d i 2.5%

More information

PLUMBING COVER SHEET WILLOW ROAD, GLENVIEW, ILLINOIS

PLUMBING COVER SHEET WILLOW ROAD, GLENVIEW, ILLINOIS PLI IX O-I L IX OI.W. (O ) OI.W. (O ) IY (O ) (O ) K W LO " - " " (L VLV) IL /" - " /" (L VLV - WOW) LVOY /" /" /" /" O & KI IK /" /" /" /" O (IL KI) IK /" /" /" /" O & OP I /" /" " /" - LI W OL /" - /"

More information

St ce l. M a p le. Hubertus Rd. Morgan. Beechwood Industrial Ct. Amy Belle Lake Rd. o o. Am Bell. S Ridge. Colgate Rd. Highland Dr.

St ce l. M a p le. Hubertus Rd. Morgan. Beechwood Industrial Ct. Amy Belle Lake Rd. o o. Am Bell. S Ridge. Colgate Rd. Highland Dr. S l Tu pi Kli 4 Lil L ill ill ilfl L pl hi L E p p ll L hi i E: i O. Q O. SITO UKES Y Bll Sig i 7 ppl 8 Lill 9 Sh 10 Bl 11 ul 12 i 7 13 h 8 10 14 Shh 9 11 41 ill P h u il f uu i P pl 45 Oh P ig O L ill

More information

The 2015 Lonely Planet Kids Catalogue - Asia

The 2015 Lonely Planet Kids Catalogue - Asia Wlm Ll Pl Ki. T 215 Ll Pl Ki Clg - i Fm wl lig vl pbli m Ll Pl Ki, il impi big wl lif f g xpl vw. Wi g f bifl b f il g 5 12, w iig vl bg wig i j w mzig pl b. Fm big bl i ivi b, bifl gif il big m wi mzig

More information

THE GRILL SERIES 2017/2018

THE GRILL SERIES 2017/2018 THE GRILL SERIES 2017/2018 5 YEAR COMPREHENSIVE WARRANTY - NO LIMITS HERE Kiwi v ii. Wi Zi & Bw f pb i wi v pi qi, pw ibii... w ii. Avib i f iz, i w wii Ep ipi i i pi wi iviv pi pw p. ALL MODELS INCLUDE

More information

VERIFICATION OF RECOVERY PROCESS UNDER THE GREAT HANSHIN-AWAJI EARTHQUAKE DISASTER BASED ON THE RECOVERY INDEX (RI)

VERIFICATION OF RECOVERY PROCESS UNDER THE GREAT HANSHIN-AWAJI EARTHQUAKE DISASTER BASED ON THE RECOVERY INDEX (RI) 13 h Wl f hqk ii V,, 1, P N 131 VIITION O OVY PO UND TH GT HNHIN-WJI THQUK DIT D ON TH OVY INDX (I) Yk KTNI 1, H HYHI UMMY Thi Kb iiz' lif i h f h G Hhi- wji hqk Di i I ( I) I hi h, h w lif l lif i, I

More information

BENEFITS OF COMPLETING COLLEGE Lesson Plan #1

BENEFITS OF COMPLETING COLLEGE Lesson Plan #1 BNFITS OF COMPLTING COLLG L P #1 Ti: Bi Ci C: Ovvi & B J Hi Py P: ( y, i i i /i) S i i v i i i ii i ii i. Li O(): ( i /k y ) I ii i i i i, i ii i y i ii ii i. Ti i iii i y i y i iky i j y jy i ki y v.

More information

CUTTING EDGE RESOURCES ON LIFE BEFORE BIRTH FOR SECOND-LEVEL STUDENTS

CUTTING EDGE RESOURCES ON LIFE BEFORE BIRTH FOR SECOND-LEVEL STUDENTS CUTTING EDGE RESOURCES ON LIFE BEFORE BIRTH FOR SECOND-LEVEL J F Rf f f i vill jf COMPRE YOUR FINGERPRINTS CRD Y : F : Mk f f j i f i vl v k v f f il 2 Pl x l ll f i f il 3 Lif ff fl k 4 Iif i l f f C

More information

i.ea IE !e e sv?f 'il i+x3p \r= v * 5,?: S i- co i, ==:= SOrq) Xgs'iY # oo .9 9 PE * v E=S s->'d =ar4lq 5,n =.9 '{nl a':1 t F #l *r C\ t-e

i.ea IE !e e sv?f 'il i+x3p \r= v * 5,?: S i- co i, ==:= SOrq) Xgs'iY # oo .9 9 PE * v E=S s->'d =ar4lq 5,n =.9 '{nl a':1 t F #l *r C\ t-e fl ) 2 ;;:i c.l l) ( # =S >' 5 ^'R 1? l.y i.i.9 9 P * v ,>f { e e v? 'il v * 5,?: S 'V i: :i (g Y 1,Y iv cg G J :< >,c Z^ /^ c..l Cl i l 1 3 11 5 (' \ h 9 J :'i g > _ ^ j, \= f{ '{l #l * C\? 0l = 5,

More information

Proc. of the 23rd Intl. Conf. on Parallel Processing, St. Charles, Illinois, August 1994, vol. 3, pp. 227{ Hanan Samet

Proc. 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 information

BENEFITS OF COMPLETING COLLEGE Lesson Plan #3

BENEFITS OF COMPLETING COLLEGE Lesson Plan #3 BENEFITS OF COMPLETING COLLEGE L Pl #3 Til: Bi Cli Cll: Ci, Srr S Sl Pr: ( y l, r i i i r/rril) S ill lr rl vl bi y ill i r bii ry i. Lri O(): ( ill b bl /k by l) S ill r bii ry i bi ir rl l liyl. Ti ill

More information

A Parent s Guide to Understanding Family Life Education in Catholic Schools (and how it connects with Ontario s revised Health and Physical Education

A Parent s Guide to Understanding Family Life Education in Catholic Schools (and how it connects with Ontario s revised Health and Physical Education P i i Fiy i i i ( i i i vi Pyi i i) Bi i Fy 05 i iiy i vii & Pyi i (P) i i i i i ii i 05 B v vi P i i 998 i i i i y ik xi i ii y i iviy P i i i i i i i i i x i iy i k i i i i i v Wii iy ii v vi i i v i

More information

First Response Australia

First Response Australia Fi R Ali PR A qik fn f y wll Pli i iz - hv hv Fi R P $ 15 (GST l) ily Rii & Dfiilli Tx Th l n hniv x f PR & Dfiilli Avill h y n li vi f h l (hylk f qik fn) H y$ 9(GST l) Eli Vi 55 (GST l) Fi Ai Tx Th l

More information

BULLETIN THE BULLETIN JUNE 2012 VICTOR VALLEY NEWSLETTER OF MINERAL CLUB GEM AND THE THE SAN BERNARDINO COUNTY FAIR ISSUE PH.

BULLETIN THE BULLETIN JUNE 2012 VICTOR VALLEY NEWSLETTER OF MINERAL CLUB GEM AND THE THE SAN BERNARDINO COUNTY FAIR ISSUE PH. S il M il S Vi Vll G & Mil Cl 15056-B Sv S Vivill, CA 92395-3811. BULLETIN i i i l l l li VICTOR VALLEY GEM & MINERAL CLUB i i i g. V i x i ī l i i BULLETIN il l VIC- TOR VALLEY GEM & MINERAL CLUB. R i

More information

ADDENDUM. The Boxall Profile Handbook (Revised)

ADDENDUM. The Boxall Profile Handbook (Revised) NM xll Pfil Hdbk (vid) ONN xll Pfil (1) i 1: Pl: i fil i : Pl: d Pfil i : : i Pfil i : : d Pfil i : ld: i Pfil i : ld: d Pfil i : ily: i Pfil i : ily: d Pfil i : d: i Pfil 1 i : d: d Pfil 1 i : : i Pfil

More information

~,. :'lr. H ~ j. l' ", ...,~l. 0 '" ~ bl '!; 1'1. :<! f'~.., I,," r: t,... r':l G. t r,. 1'1 [<, ."" f'" 1n. t.1 ~- n I'>' 1:1 , I. <1 ~'..

~,. :'lr. H ~ j. l' , ...,~l. 0 ' ~ bl '!; 1'1. :<! f'~.., I,, r: t,... r':l G. t r,. 1'1 [<, . f' 1n. t.1 ~- n I'>' 1:1 , I. <1 ~'.. ,, 'l t (.) :;,/.I I n ri' ' r l ' rt ( n :' (I : d! n t, :?rj I),.. fl.),. f!..,,., til, ID f-i... j I. 't' r' t II!:t () (l r El,, (fl lj J4 ([) f., () :. -,,.,.I :i l:'!, :I J.A.. t,.. p, - ' I I I

More information

Dec. 3rd Fall 2012 Dec. 31st Dec. 16th UVC International Jan 6th 2013 Dec. 22nd-Jan 6th VDP Cancun News

Dec. 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 information

The Newsletter for FSB Connect Club Members. May/June y M. Six. August 7. But it s a M ONLY. going! gratuity

The Newsletter for FSB Connect Club Members. May/June y M. Six. August 7. But it s a M ONLY. going! gratuity Th Nwl f FSB Cc Cl M D x i S M... p i T l h! ll cii i YOU ip i x M -D f Six Th f hi ip v k ll, I c ll W? hi ii ll i c I f p wh i T i ih B i M vl w kf v l ll il f w v l: v h w ll h l f 11 f fi h l l w v

More information

Detoxification of wastewater containing As and Sb by hydrothermal mineralization

Detoxification of wastewater containing As and Sb by hydrothermal mineralization P l Sp ETp S 2007, SETS07 2007 Dx ww Sb b hhl lz Tkh k, R S, 2 Hk h 2 ETp S, N Uv, N, Jp 2 Dp ppl h, G Shl E, N Uv, N, Jp b: W h x ww x b hhl lz Th 50200 wh OH 2 w h l ww 2000 p Th w v h pp l l 5 O 4 OH

More information

LED lighting + 2.3% + 2.2% Controlling energy costs, a major competitiveness driver. Our main projects

LED lighting + 2.3% + 2.2% Controlling energy costs, a major competitiveness driver. Our main projects Clli y ss, j piivss div Sdily isi y qis Dspi pss i y ffiiy, h wldwid liiy spi is wi by ii f 2.3% p y ss ll ss. d is ps hlp y lii h ip f y ss y bsiss Hih d isi pis Th pi f liiy is sdily isi i OECD (Oisi

More information

Crackers COSMOPOLITAN CLUB OF SANTA BARBARA INC.

Crackers COSMOPOLITAN CLUB OF SANTA BARBARA INC. Ck COSMOPOLITAN CLUB OF SANTA BARBARA INC. Vl N. 11 Ei: Ck Ev Nx Mig: D 4, 2014 Nx Ei: Hv T P: (805) 967-0741 E-Mil: lv@gil. Nx Mig Db 4, 2014 H Db Ck Ei Nx Sg. A: J R P: (805) 845-7090 E-Mil:jl@x.C A

More information

Power up. Hello, Teachers! With Dr. E tm. Teacher s Guide 8th Grade. Georgia Power is extremely excited to further our partnership with your school

Power up. Hello, Teachers! With Dr. E tm. Teacher s Guide 8th Grade. Georgia Power is extremely excited to further our partnership with your school Tch Gid 8h Gd Hll, Tch! Gi P i xl xcid h phip ih chl b pvidi dci iiiiv cd hc d xpic i cl W lk d ki ih d d D E TM B jii p i h Li P p, i D E d h W Sqd, ill dv icic hh i-cl ild ip, i hd- civii d Wb-bd W hp

More information

Fall / Winter Multi - Media Campaign

Fall / Winter Multi - Media Campaign Fall / Winter Multi - Media Campaign Bi g H or n R a di o N et w or k 1 B U B B A S B A R- B- Q U E R E ST A U R A N T 10% O F F B R E A K F A S T C o u p o n vali d M o n.- Fri. 7-11 a m Excl u des a

More information

Above Bar Church Christmas Programme

Above Bar Church Christmas Programme Abv B Cc Ci P T j f lif... J Ribi, Mii M l v i wl. Rc b f ilc l k j lv i i c f f, b lif; livl c i vl wl f bi, li; ll f i fi w j f lif. M l w v fi Ci. A c i ficé j f Nz Bl; j f ill f Bl ; wi f i c j wi

More information

LIVESTOCK & AGRICULTURE

LIVESTOCK & AGRICULTURE LIVSTOK & AGRIULTUR GRAD 4 SIN GO WITH TH FLOW: PRODURS & ONSUMRS AT TH FAIR LIVSTOK & TAHR G F SIN AGRIULTUR G W Flw P & F I l wll: **U wl y F. **Iy w. ** wb y v F. y y l v Hv y w w v w l y w y y Dv y?

More information

Read & Understan. Understand NEW EDITIO od u. o i. d b. u b. l r. t to. , Grade 3. Correlated Standards WITH LEVELED TEXTS

Read & Understan. Understand NEW EDITIO od u. o i. d b. u b. l r. t to. , Grade 3. Correlated Standards WITH LEVELED TEXTS G 3 EMC 3443 R & U WITH LEVELED TEXTS y l b c V Wi c i Cp bl ici i xpli k Lxil lvl 480 710 Cpi vcbly civii Spp vi i bilii Cv f i kill NEW EDITIO N! A T D k H y M N? I M. W D i i x S Cl S A T D k My H y

More information

INDUSTRIAL, COMMERCIAL and DOMESTIC AREAS OF EXPERTISE

INDUSTRIAL, COMMERCIAL and DOMESTIC AREAS OF EXPERTISE INDUTRIAL, OMMERIAL DOMETI AREA OF EXPERTIE Di & Ui f i ii i i fiii T i Bii L i i qi,, i f i i i f z! O i i i 3B i i i Di Mfi iq T i ff i, i qi i i qi qik, ii i f i,, ii i i ii W i fii i i fi i f, i iiii

More information

Grilled it ems are prepared over real mesquit e wood CREATE A COMBO STEAKS. Onion Brewski Sirloin * Our signature USDA Choice 12 oz. Sirloin.

Grilled it ems are prepared over real mesquit e wood CREATE A COMBO STEAKS. Onion Brewski Sirloin * Our signature USDA Choice 12 oz. Sirloin. TT & L Gl v l q T l q TK v i f i ' i i T K L G ' T G!? Ti 10 (Pik 3) -F- L P ki - ik T ffl i zzll ik Fi Pikl x i f l $3 (li 2) i f i i i - i f i jlñ i 84 6 - f ki i Fi 6 T i ffl i 10 -i i fi & i i ffl

More information

Remember. Passover: A Time. The to

Remember. Passover: A Time. The to v: im kill ml lmb i m. ibl xli Ci v lmb i (1 Cii 5:7). i ii m l ii i l bk ( 19:32). mmb G i li b v l bk b v lmb. i b i v i b bk i iixi ( 19:33). i lm bv v. v i v lb? Mb mmb i l m bk x li i b i. i li b

More information

FAIR FOOD GRADE 7 STEM SUGAR RUSH! HOW YOUR BODY WILL PROCESS THAT FRIED TWINKIE

FAIR FOOD GRADE 7 STEM SUGAR RUSH! HOW YOUR BODY WILL PROCESS THAT FRIED TWINKIE FAIR FOOD GRADE 7 SUGAR RUSH! HOW YOUR BODY WILL PROESS THAT FRIED TWINKIE F F TEAHER G Sv S R! Hw Y B Wll P T F Twk I l wll:! B l b F f pp m? Hw w w w,? v pp Expl w f f b. Exm w f wl p m b. wk f b xp

More information

Years. Marketing without a plan is like navigating a maze; the solution is unclear.

Years. Marketing without a plan is like navigating a maze; the solution is unclear. F Q 2018 E Mk l lk z; l l Mk El M C C 1995 O Y O S P R j lk q D C Dl Off P W H S P W Sl M Y Pl Cl El M Cl FIRST QUARTER 2018 E El M & D I C/O Jff P RGD S C D M Sl 57 G S Alx ON K0C 1A0 C Tl: 6134821159

More information

Multivariant analysis of drinking water quality parameters of lake Pichhola in Udaipur, India

Multivariant analysis of drinking water quality parameters of lake Pichhola in Udaipur, India ii i, (): () : Mivi i f iki w q f k i i Ui, i Vik f, Uiv f i, M ki Uiv, Ui (R) R : wk ii ii f i k w i iki w q, vi ik i w,, f, iv x, ii x, i x, iv, iv i,, ki, i, i, w i v v f iv,, w f ii i w ffii f i ()

More information

. α β γ δ ε ζ η θ ι κ λ μ Aμ ν(x) ξ ο π ρ ς σ τ υ φ χ ψ ω. Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω. Wednesday March 30 ± ǁ

. α β γ δ ε ζ η θ ι κ λ μ Aμ ν(x) ξ ο π ρ ς σ τ υ φ χ ψ ω. Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω. Wednesday March 30 ± ǁ . α β γ δ ε ζ η θ ι κ λ μ Aμ ν(x) ξ ο π ρ ς σ τ υ φ χ ψ ω. Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω Wednesday March 30 ± ǁ 1 Chapter 5. Photons: Covariant Theory 5.1. The classical fields 5.2. Covariant

More information

GREEN ACRES TRIBUTARY B/W BEGIN RETAINING WALL T/W

GREEN ACRES TRIBUTARY B/W BEGIN RETAINING WALL T/W W PK UV S IU PK VI II. HIHW -. /W................................ S IU P..S SU HKS:.... US U... US U IS U S I PPI. SUHWS H I HS HWS.. H I PK UV. VI =. (V ).... /W......'. PPS II... /W..'.'..' W (SI HS)..'.'.'..

More information

n u o r t a a B m r I d n h e t o c n r a t g t a e h t g e p s h d n e t n o a l t e m f the So e a h e o c o M sed i e for Ch a r h a P e the m n e

n u o r t a a B m r I d n h e t o c n r a t g t a e h t g e p s h d n e t n o a l t e m f the So e a h e o c o M sed i e for Ch a r h a P e the m n e I b k B l Ll B CvyB. k S K T l v P w j C. b Ty C M Cv O wll: S, l B S w y w C. P S. T v b l L C l l P v A v., N C w l L, B l L z.. L. G C l y w wy w L w y L k w. b ll L P v C Ml by Sy Nll, Kky WMU. G by

More information

ENJOY ALL OF YOUR SWEET MOMENTS NATURALLY

ENJOY 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 information

I-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. \ (?

I-1. rei. o & A ;l{ o v(l) o t. e 6rf, \o. afl. 6rt {'il l'i. S o S S. ll. \o a S lrh S \ S s l'l {a ra \o r' tn $ ra S \ S SG{ $ao. \ S ll. \ (? >. 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 information

The Finite Element Method

The Finite Element Method The Finite Element Method 3D Problems Heat Transfer and Elasticity Read: Chapter 14 CONTENTS Finite element models of 3-D Heat Transfer Finite element model of 3-D Elasticity Typical 3-D Finite Elements

More information

Writing a press release and pitching it to the media

Writing a press release and pitching it to the media Wiig l iig i i Wiig l l y g i vg f y gii ig. Mi vg i f y k, fil f y gii g l g ivlv i y igig ii ig y vi. W i l? A l ( l/ i l) i i y f y y f i. I ill il ky f, q f kl il f ifi. T i l f l i vi i v y y b i

More information

ATTACHMENT H. Housing Opportunity Zones. Appendix G Housing Element Appendix Attachment H -1 AttachmentHofAppendixGApproved

ATTACHMENT H. Housing Opportunity Zones. Appendix G Housing Element Appendix Attachment H -1 AttachmentHofAppendixGApproved umbodt ounty enera Pan pproved Version ousing pportunity Zones ppendix ousing ement ppendix ttachment -1 ttachmentofppendixpproved8-28-09. QUI L IL L LI V U LIL WY JY V I V U LL L L L Q U I V F V LUI

More information

Volume 51 - Issue 14 - Monday, January 25, 2016

Volume 51 - Issue 14 - Monday, January 25, 2016 R-H f R-H S R i S N C Wi -2-206 V - 4 - M J 2 206 R S R-H f F i i : ://-/ R Ci S R "V - 4 - M J 2 206" (206 R i B 04 ://-//04 HE MER POSE ON HS ROSE-HUMN REPOSORY S O BE USE FOR PRVE SUY SCHORSHP OR RESERCH

More information

Holiday Entertainment

Holiday Entertainment Hi Ei i i i i i Fi E & iq H Kii i i z i v i i i Pi I -V P i v 0 014 Hi Ei Si Si v 0 014 i H H i i Fii Fi i -i i 5:30 S i iv i i H Fii/ i H i H i i 6 i i i i i i E i i i i Fii Fi S i v i ii v Pi i i v i

More information

Managing Service Systems with an Offline Waiting Option and Customer Abandonment: Companion Note

Managing Service Systems with an Offline Waiting Option and Customer Abandonment: Companion Note Managing Service Systems with an Offline Waiting Option and Customer Abandonment: Companion Note Vasiliki Kostami Amy R. Ward September 25, 28 The Amusement Park Ride Setting An amusement park ride departs

More information

Lecture10: Plasma Physics 1. APPH E6101x Columbia University

Lecture10: Plasma Physics 1. APPH E6101x Columbia University Lecture10: Plasma Physics 1 APPH E6101x Columbia University Last Lecture - Conservation principles in magnetized plasma frozen-in and conservation of particles/flux tubes) - Alfvén waves without plasma

More information

ASME 2013 IDETC/CIE 2013 Paper number: DETC A DESIGN ORIENTED RELIABILITY METHODOLOGY FOR FATIGUE LIFE UNDER STOCHASTIC LOADINGS

ASME 2013 IDETC/CIE 2013 Paper number: DETC A DESIGN ORIENTED RELIABILITY METHODOLOGY FOR FATIGUE LIFE UNDER STOCHASTIC LOADINGS ASME 2013 IDETC/CIE 2013 Paper number: DETC2013-12033 A DESIGN ORIENTED RELIABILITY METHODOLOGY FOR FATIGUE LIFE UNDER STOCHASTIC LOADINGS Zhen Hu, Xiaoping Du Department of Mechanical & Aerospace Engineering

More information

. α β γ δ ε ζ η θ ι κ λ μ Aμ ν(x) ξ ο π ρ ς σ τ υ φ χ ψ ω. Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω. Friday April 1 ± ǁ

. α β γ δ ε ζ η θ ι κ λ μ Aμ ν(x) ξ ο π ρ ς σ τ υ φ χ ψ ω. Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω. Friday April 1 ± ǁ . α β γ δ ε ζ η θ ι κ λ μ Aμ ν(x) ξ ο π ρ ς σ τ υ φ χ ψ ω. Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω Friday April 1 ± ǁ 1 Chapter 5. Photons: Covariant Theory 5.1. The classical fields 5.2. Covariant

More information

b e i ga set s oane f dast heco mm on n va ns ing lo c u soft w section

b e i ga set s oane f dast heco mm on n va ns ing lo c u soft w section 66 M M Eq: 66 - -I M - - - -- -- - - - - -- - S I T - I S W q - I S T q ] q T G S W q I ] T G ˆ Gα ˆ ˆ ] H Z ˆ T α 6H ; Z - S G W [6 S q W F G S W F S W S W T - I ] T ˆ T κ G Gα ±G κ α G ˆ + G > H O T

More information

Adaptive Localization: Proposals for a high-resolution multivariate system Ross Bannister, HRAA, December 2008, January 2009 Version 3.

Adaptive Localization: Proposals for a high-resolution multivariate system Ross Bannister, HRAA, December 2008, January 2009 Version 3. Adaptive Localization: Proposals for a high-resolution multivariate system Ross Bannister, HRAA, December 2008, January 2009 Version 3.. The implicit Schur product 2. The Bishop method for adaptive localization

More information

Maturity in Christ. The. Rock

Maturity in Christ. The. Rock M i C T Rk J 2014 Gi k l f Si Rir Fr Rr Mr fil... Hr, Kll C S r f Si Rir i i r fr H i 2002. Hr Kll Rkll S O i Clr Lk r fr 23 r. T r l i rfl. C ill Jir S ill Fr R Rk Hi Sl x r. T r il i Al Y Miir. Hr rk

More information

Knowledge Fusion: An Approach to Time Series Model Selection Followed by Pattern Recognition

Knowledge Fusion: An Approach to Time Series Model Selection Followed by Pattern Recognition LA-3095-MS Knwledge Fusin: An Appch t Tie Seies Mdel Selectin Fllwed by Ptten Recgnitin Ls Als N A T I O N A L L A B O R A T O R Y Ls Als Ntinl Lbty is peted by the Univesity f Clifni f the United Sttes

More information

K(ζ) = 4ζ 2 x = 20 Θ = {θ i } Θ i=1 M = {m i} M i=1 A = {a i } A i=1 M A π = (π i ) n i=1 (Θ) n := Θ Θ (a, θ) u(a, θ) E γq [ E π m [u(a, θ)] ] C(π, Q) Q γ Q π m m Q m π m a Π = (π) U M A Θ

More information

ilpi4ka3 MuHucrepcrBo o6pasobahufl Huxeropollcnofi o Onacrrl rocyaapctnennofi rrorosofi s2015 ro4y fl? /CI.?G

ilpi4ka3 MuHucrepcrBo o6pasobahufl Huxeropollcnofi o Onacrrl rocyaapctnennofi rrorosofi s2015 ro4y fl? /CI.?G MuucpcB 6psBul uxpllci cl ilpk l? /C.?G ' uxui P' 06 YP [pcjb CCTB qb cypci KMqui KMcc uxpqcci 6cu 015 Y' B cstctb yktm 1 lpxk plbl' 'cypcsuii u "c1 6p:JbbM ppmmll Cp 6[ Sp: ybpx pkm MuucpcTB 6p:ux 1 yk

More information

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

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

More information

Living In Residential Newsletter October 2012

Living In Residential Newsletter October 2012 Livg I Rii N O 2012 g 0 0 4 1 v, i i ig i W i i. W,. W i i i. g v v ii kg ig! i W ii x ii k H i, i I, P i. v i I i A. S ii R g 6). Mg iv vi i i ( i ik iv i v i i Y E-Ii, F i,. T SUi-S i v i I. i i i. I

More information

Directional Statistics by K. V. Mardia & P. E. Jupp Wiley, Chichester, Errata to 1st printing

Directional Statistics by K. V. Mardia & P. E. Jupp Wiley, Chichester, Errata to 1st printing Directional Statistics K V Mardia & P E Jupp Wiley, Chichester, 2000 Errata to 1st printing 8 4 Insert of after development 17 3 Replace θ 1 α,, θ 1 α θ 1 α,, θ n α 19 1 = (2314) Replace θ θ i 20 7 Replace

More information

FYE 1-4-FUN! Fall 2012 First-Year Seminars

FYE 1-4-FUN! Fall 2012 First-Year Seminars E Y F i v i U i S xi E Miii: Fi Y FYE 1-4-FUN! F 2012 Fi-Y Si W biv v i Miiii S Uivi k j f f f i i fi : b i i fii i i fi, i i vi f i f O i Fi-Y Si f i i b i j E i i iff, ii i Y k j, k ii i i j i i v x

More information

POWER UP. Hello, Teachers! With Dr. E tm GRADE TEACHER S GUIDE

POWER UP. Hello, Teachers! With Dr. E tm GRADE TEACHER S GUIDE GDE 6 Hll, h! Ggi P i xly xid h hi ih y hl by vidig gy di iiiiv d h d lig xi i y l W lk d kig ih y d y d ECHE S GUIDE D E M By jiig i h Lig P g, ig D E d h W Sqd, ill dliv gy iiy g hgh i-l ild i, ig hd-

More information

Dunhamstead Visitor Mooring. Postcode: WR9 7JX Waterway: Worcester & Birmingham Canal. Price: Band 4. Key 12. Trench Wood. Worcester.

Dunhamstead Visitor Mooring. Postcode: WR9 7JX Waterway: Worcester & Birmingham Canal. Price: Band 4. Key 12. Trench Wood. Worcester. Ky Hili Wi i c T G Bi Lc C l O Wi i Fciliy Buili i i W i B Li / W Bi Rcycli l i (u Wf C W c Rfu ipl Wwy i Lil f up Bi (u Bi G 0, up F Tc C ( LC TR i Hu NC H LA N Tc Tc (u Tc i Tc W (u (u Bi, L Bi, up c

More information

Candidates must show on each answer book the type of calculator used. Log Tables, Statistical Tables and Graph Paper are available on request.

Candidates must show on each answer book the type of calculator used. Log Tables, Statistical Tables and Graph Paper are available on request. UNIVERSITY OF EAST ANGLIA School of Mathematics Spring Semester Examination 2004 FLUID DYNAMICS Time allowed: 3 hours Attempt Question 1 and FOUR other questions. Candidates must show on each answer book

More information

6 'J~' ~~,~, [u.a~, ~').J\$.'..

6 'J~' ~~,~, [u.a~, ~').J\$.'.. 6 'J',, [u.a, ').J\$.'...;iJ A.a...40 - II L:lI'J - fo.4 i I.J.,l I J.jla.I (JIJ.,.,JI A.a...40 -.Jjll I...IJ J.l - c.sjl.s.4 jj..jaj.lj.... -"4...J.A.4 " o u.lj; 3. \J)3 0 )I.bJil j (" 0L...i'i w-? I

More information

AP Human Geography Pre-Test. A. World Cities. B. Multiple Nuclei Model. D, Least Cost Theory. E. Cultural Landscape. F, Concentric Zone Model

AP Human Geography Pre-Test. A. World Cities. B. Multiple Nuclei Model. D, Least Cost Theory. E. Cultural Landscape. F, Concentric Zone Model Paul T. Gray, Jr. Russellville High Schl - Russellville, AR paul.gray@rsdmail.k12.ar.us AP Human Gegraphy Pre-Test MATCHING- Therists in Human Gegraphy 1. Carl Sauer A. Wrld Cities 2. Jhann Heinrich vn

More information

Free GUIDED Walks BLOOMSBURY HOLBORN ST GILES FARRINGDON CLERKENWELL

Free GUIDED Walks BLOOMSBURY HOLBORN ST GILES FARRINGDON CLERKENWELL F UIDD OOUY HOO T I FIDO K OUT U Ti p f i i,. xi p,, i p i - p. @id O f i. i i j i. I f ii. I i ii i i ff i, i ii. T, p f. i., H, i, Fi & @id i -i. -f. OK K FO UI If i, i pi f ff? f xii p i f i. pf p f

More information

Science is asking questions. And living is not being afraid of the answer. The Science of Breakable Things by Tae Keller STEP 4: rhcbooks.

Science is asking questions. And living is not being afraid of the answer. The Science of Breakable Things by Tae Keller STEP 4: rhcbooks. B 1 K B ic hi Wh i i i? h l v Q 2 h h ll i i i h i i h m? i W B chi b l l G ii v i b 3 i c l ii i qi Gb m 4 i c ll ic G c i i h 5 l c im im l il ci. l m k m k? K G M MMB M X 6 i mim M h l m M X 7 i k h

More information

q-..1 c.. 6' .-t i.] ]J rl trn (dl q-..1 Orr --l o(n ._t lr< +J(n tj o CB OQ ._t --l (-) lre "_1 otr o Ctq c,) ..1 .lj '--1 .IJ C] O.u tr_..

q-..1 c.. 6' .-t i.] ]J rl trn (dl q-..1 Orr --l o(n ._t lr< +J(n tj o CB OQ ._t --l (-) lre _1 otr o Ctq c,) ..1 .lj '--1 .IJ C] O.u tr_.. l_-- 5. r.{ q-{.r{ ul 1 rl l P -r ' v -r1-1.r ( q-r ( @- ql N -.r.p.p 0.) (^5] @ Z l l i Z r,l -; ^ CJ (\, -l ọ..,] q r 1] ( -. r._1 p q-r ) (\. _l (._1 \C ' q-l.. q) i.] r - 0r) >.4.-.rr J p r q-r r 0

More information

By Philip J. Davis. (1.1) // < >jdxdy = w y(pí), i =1,2,...,N.

By Philip J. Davis. (1.1) // < >jdxdy = w y(pí), i =1,2,...,N. A Construction Approximate of Nonnegative Quadratures* By Philip J. Davis 1. Introduction. In a paper which appeared in 1957, V. Tchakaloff [1] proved the following theorem. Let B be a closed bounded set

More information

APPH 4200 Physics of Fluids

APPH 4200 Physics of Fluids APPH 4200 Physcs of Fluds A Few More Flud Insables (Ch. 12) Turbulence (Ch. 13) December 1, 2011 1.!! Vscous boundary layer and waves 2.! Sably of Parallel Flows 3.! Inroducon o Turbulence: Lorenz Model

More information

Mathematics Review Exercises. (answers at end)

Mathematics Review Exercises. (answers at end) Brock University Physics 1P21/1P91 Mathematics Review Exercises (answers at end) Work each exercise without using a calculator. 1. Express each number in scientific notation. (a) 437.1 (b) 563, 000 (c)

More information

Galois module structure of local unit groups

Galois module structure of local unit groups Galois module structure of local unit groups Romyar T. Sharifi Abstract We study the groups U i in the unit filtration of a finite abelian extension K of Q p, for an odd prime p. We determine explicit

More information

Wealth Planning. Wealth Accumulation. Wealth Pr eser vation. Securities offered through LPL Financial, Member FINRA/SIPC

Wealth Planning. Wealth Accumulation. Wealth Pr eser vation. Securities offered through LPL Financial, Member FINRA/SIPC Wl Plig. Wl Aumuli. Wl P vi. Suii d ug LPL Fiil, Mmb FINRA/SIPC A F u u A F Fu uu l iflu ll mi l l m Suig yu dm k d gy, lvig lil im wl mgm. W k pibiliy yu d wil lpig yu puu yu gl. Wi u yu wl dvi, yu will

More information

Evenly partite bigraph-factorization of symmetric complete tripartite digraphs

Evenly partite bigraph-factorization of symmetric complete tripartite digraphs Evenly partite bigraph-factorization of symmetric complete tripartite digraphs Kazuhiko U shio Department of Industrial Engineering Faculty of Science and Technology Kinki University Osaka 577-8502, JAPAN

More information

On Moore Graphs with Diameters 2 and 3

On Moore Graphs with Diameters 2 and 3 .., A. J. Hoffman* R. R. Singleton On Moore Graphs with Diameters 2 and 3 Abstract: This note treats the existence of connected, undirected graphs homogeneous of degree d and of diameter k, having a number

More information

T m / A. Table C2 Submicroscopic Masses [2] Symbol Meaning Best Value Approximate Value

T m / A. Table C2 Submicroscopic Masses [2] Symbol Meaning Best Value Approximate Value APPENDIX C USEFUL INFORMATION 1247 C USEFUL INFORMATION This appendix is broken into several tables. Table C1, Important Constants Table C2, Submicroscopic Masses Table C3, Solar System Data Table C4,

More information

Gavilan JCCD Trustee Areas Plan Adopted October 13, 2015

Gavilan JCCD Trustee Areas Plan Adopted October 13, 2015 S Jos Gvil JCCD Trust Ar Pl Aopt Octobr, 0 p Lrs Pl Aopt Oct, 0 Cit/Csus Dsigt Plc ighw US 0 Cit Arom ollistr igmr S Jos Trs Pios cr Ps 4 ut S Bito ut 0 0 ils Arom ollistr igmr Trs Pios 7 S Bito ut Lpoff

More information

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

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

More information