Physics 232 Exam I Feb. 14, 2005

Size: px
Start display at page:

Download "Physics 232 Exam I Feb. 14, 2005"

Transcription

1 Phsics I Fe., 5 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio wih gul eloci o dissec. gie is i ie i is oud o e 8 c o he igh o he equiliiu posiio d oig o he le wih eloci o.5 sec.. Wh is he spig cos? cos The spig cos, ss d gul eloci e eled,osoligohespig. Wh is he ol eeg o he sse? ( (.5 6 Ns The ol eeg o he sse is jus he su o he ieic eeg o he ss d he spig poeil eeg. Tol We use he iiil codiios o he posiio d eloci. Tol (.5 (.5 (6 ( joules c. Wh is he iu pliude o oscillio? he poi o iu pliude, ll o he eeg will e i he spig poeil eeg. o wecheuseh Tol Tol d. Wh is he phse gle? ( c 6 We eed o use he equio o posiio d d eloci s ucios o ie. cos ( φ d si ( φ d We ow h, -. while.7 s. o we he h o.8.8 cos φ.5 ( (.8 si φ cos φ.5 si φ.86

2 The diidig he cosie equio he sie equio we he he φ φ 57.8 ice oh he cosie d sie es e posiie, his pus he gle i he s qud, so he gle eis φ 57.8

3 oc. ec # Ne. iiiel log wie o ss pe ui legh.5 g is ude esio o s. osee e o he wie oices 5 pes pss hi i ie o sec oig o he le.. Wh is he we eloci o he wie? Theweelociiseledoheesioihewiedhesspeuileghohewie s T 89. s.5. Wh is he equec o he wes? ice ull ccles (5- oe ps gie poi i secods, he equec is jus c. Wh is he welegh? 7Hz The we speed, equec, d welegh e eled λ λ d. I he iu displcee is, wh is he equio o he we? The we ucio o we elig o he le is (, cos ( We eed o deeie d. o he we ucio is he d λ (7.98 (,. cos (.9.98 e. The wie is ow ied wo pois which e seped. ees d he wie eis ude he se esio. Wh is he equec o he hid hoic? Fo we o sig h is iedoheds,hellowedweleghsegie λ ; iege o λ (89. ( ( Hz

4 oc. ec # Ne. You e diig wes o I- sec. You oice se oope elig es sec. The se oope souds his sie equec o Hz. This is pole iolig he Dopple eec. he ppopie equio is l s wih he sig coeio o elociies eig - o he lisee o he souce is posiie.. Wh is he equec h ou he? Hee he eloci o he lisee is posiie d h o he oope is egie sice is eloci is opposie o he sese o posie elociies. o s d he eloci o he lisee is s. We he he 98 7 Hz. The oope psses ou so h he is ow i ou eiew io. Wh is he equec h ou ow he? Now he oope s eloci is posiie d ou eloci, ou eig he lisee, is egie o s d he eloci o he lisee is s. We he he 99. Hz

5 oc. ec # Ne. o ligh is icide o sl o glss. The o ligh es gle o 55 wih espec o he ol o he suce.. I is oud h he o ligh es gle o 5 wih espec o he ol i he glss. Wh is he ide o ecio o he glss? This pole iolig ell s w si si wih he ediu eig he i d ediu eig he glss. Wh is he speed o ligh i he glss? si55 si 5 si 55 si The spped o ligh i ediu is educed o h i cuu he co o he ediu. c s c. The o ligh ow ss ou i he glss d heds owds he i-glss oud. Wh is he iu gle he o ligh c e wih espec o he ol eoe ol iel elecio es plce? gle is 9 Now ediu is he glss d ediu is he i. The ciicl gle is whe he ougoig.98 si ci ( si ci ci.6 5

6 Phsics Foul hee iple Hoic Moio cos( K P P T F Tol Tol φ Dopple ec Peiodic Moio, (, ( cos(, ( P e i i e λ ± Wes o ig iege T λ igh φ icide cos Polizio si si si Recio Relecio I I c eleced < lecogeic Wes B c I c B e ε Phsicl Coss g g C e T N C s c p e soud sec ε Useul Geoe Volue e el Volue e uce Cicueece e Clide phee Cicle

Physics 232 Exam I Feb. 13, 2006

Physics 232 Exam I Feb. 13, 2006 Phsics I Fe. 6 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio. The oio hs peiod o.59 secods. iiil ie i is oud o e 8.66 c o he igh o he equiliiu posiio d oig o he le wih eloci o sec.

More information

Physics 232 Exam II Mar. 28, 2005

Physics 232 Exam II Mar. 28, 2005 Phi 3 M. 8, 5 So. Se # Ne. A piee o gl, ide o eio.5, h hi oig o oil o i. The oil h ide o eio.4.d hike o. Fo wh welegh, i he iile egio, do ou ge o eleio? The ol phe dieee i gie δ Tol δ PhDieee δ i,il δ

More information

One of the common descriptions of curvilinear motion uses path variables, which are measurements made along the tangent t and normal n to the path of

One of the common descriptions of curvilinear motion uses path variables, which are measurements made along the tangent t and normal n to the path of Oe of he commo descipios of cuilie moio uses ph ibles, which e mesuemes mde log he ge d oml o he ph of he picles. d e wo ohogol xes cosideed sepely fo eey is of moio. These coodies poide ul descipio fo

More information

TEST-12 TOPIC : SHM and WAVES

TEST-12 TOPIC : SHM and WAVES Q. Four sprig coec wih ss s show i figure. Fid frequecy of S.H.. TEST- TOPIC : SH d WVES 4 7 (D) These wo coeced i series. So = = Now ll re i prllel so eq = 4 so freq. = 4 4 7 Q. sll ss execue S.H.. bou

More information

RESPONSE OF A RECTANGULAR PLATE TO BASE EXCITATION Revision E W( )

RESPONSE OF A RECTANGULAR PLATE TO BASE EXCITATION Revision E W( ) RESPONSE OF A RECTANGULAR PLATE TO BASE EXCITATION Revisio E B To Ivie Eil: o@viiod.co Apil, 3 Viles A pliude coefficie E k leg id ple siffess fco elsic odulus ple ickess veue ple ss edig oe,, u, v ode

More information

BINOMIAL THEOREM OBJECTIVE PROBLEMS in the expansion of ( 3 +kx ) are equal. Then k =

BINOMIAL THEOREM OBJECTIVE PROBLEMS in the expansion of ( 3 +kx ) are equal. Then k = wwwskshieduciocom BINOMIAL HEOREM OBJEIVE PROBLEMS he coefficies of, i e esio of k e equl he k /7 If e coefficie of, d ems i e i AP, e e vlue of is he coefficies i e,, 7 ems i e esio of e i AP he 7 7 em

More information

Ultrahigh Frequency Generation in GaAs-type. Two-Valley Semiconductors

Ultrahigh Frequency Generation in GaAs-type. Two-Valley Semiconductors Adv. Sudies Theo. Phys. Vol. 3 9 o. 8 93-98 lhigh Fequecy Geeio i GAs-ype Two-Vlley Seicoducos.. sov. K. Gsiov A. Z. Phov d A.. eiel Bu Se ivesiy 3 Z. Khlilov s. Az 48 Bu ciy- Physicl siue o he Azebij

More information

The sphere of radius a has the geographical form. r (,)=(acoscos,acossin,asin) T =(p(u)cos v, p(u)sin v,q(u) ) T.

The sphere of radius a has the geographical form. r (,)=(acoscos,acossin,asin) T =(p(u)cos v, p(u)sin v,q(u) ) T. Che 5. Dieeil Geome o Sces 5. Sce i meic om I 3D sce c be eeseed b. Elici om z =. Imlici om z = 3. Veco om = o moe geel =z deedig o wo mees. Emle. he shee o dis hs he geoghicl om =coscoscossisi Emle. he

More information

1. Six acceleration vectors are shown for the car whose velocity vector is directed forward. For each acceleration vector describe in words the

1. Six acceleration vectors are shown for the car whose velocity vector is directed forward. For each acceleration vector describe in words the Si ccelerio ecors re show for he cr whose eloci ecor is direced forwrd For ech ccelerio ecor describe i words he iseous moio of he cr A ri eers cured horizol secio of rck speed of 00 km/h d slows dow wih

More information

Inverse Thermoelastic Problem of Semi-Infinite Circular Beam

Inverse Thermoelastic Problem of Semi-Infinite Circular Beam iol oul o L choloy i Eii M & Alid Scic LEMAS Volu V u Fbuy 8 SSN 78-54 v holic Pobl o Si-ii Cicul B Shlu D Bi M. S. Wbh d N. W. Khobd 3 D o Mhic Godw Uiviy Gdchioli M.S di D o Mhic Svody Mhvidyly Sidwhi

More information

Suggested Solution for Pure Mathematics 2011 By Y.K. Ng (last update: 8/4/2011) Paper I. (b) (c)

Suggested Solution for Pure Mathematics 2011 By Y.K. Ng (last update: 8/4/2011) Paper I. (b) (c) per I. Le α 7 d β 7. The α d β re he roos o he equio, such h α α, β β, --- α β d αβ. For, α β For, α β α β αβ 66 The seme is rue or,. ssume Cosider, α β d α β y deiiio α α α α β or some posiive ieer.

More information

Chapter 1 Electromagnetic Field Theory

Chapter 1 Electromagnetic Field Theory hpe ecgeic Fie The - ecic Fie ecic Dipe Gu w f : S iegece he ε = 6 fee pce. F q fie pi q q 9 F/ i he. ue e f icee chge: qk k k k ue uce ρ Sufce uce ρ S ie uce ρ qq qq g. Shw h u w F whee. q Pf F q S q

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

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

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

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

More information

EE757 Numerical Techniques in Electromagnetics Lecture 9

EE757 Numerical Techniques in Electromagnetics Lecture 9 EE757 uericl Techiques i Elecroeics Lecure 9 EE757 06 Dr. Mohed Bkr Diereil Equios Vs. Ierl Equios Ierl equios ke severl ors e.. b K d b K d Mos diereil equios c be epressed s ierl equios e.. b F d d /

More information

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! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9 OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at

More information

F.Y. Diploma : Sem. II [CE/CR/CS] Applied Mathematics

F.Y. Diploma : Sem. II [CE/CR/CS] Applied Mathematics F.Y. Diplom : Sem. II [CE/CR/CS] Applied Mhemics Prelim Quesio Pper Soluio Q. Aemp y FIVE of he followig : [0] Q. () Defie Eve d odd fucios. [] As.: A fucio f() is sid o e eve fucio if f() f() A fucio

More information

E&CE 476 Antenna and Wireless Systems Final Examination

E&CE 476 Antenna and Wireless Systems Final Examination UW E&CE 476 S. Svi-Neii, Wie 7 Isuco: S. Svi-Neii Tie:.5 hous E&CE 476 Ae d Wieless Syses Fil Exiio Apil, 7, :3 3:p P. Ae # Ae # λ /5 λ /5 λ /5 Ae # 3 Thee pllel ideicl eso dipoles wih he legh d dius give

More information

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

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

More information

Dividing Algebraic Fractions

Dividing Algebraic Fractions Leig Eheme Tem Model Awe: Mlilig d Diidig Algei Fio Mlilig d Diidig Algei Fio d gide ) Yo e he me mehod o mlil lgei io o wold o mlil meil io. To id he meo o he we o mlil he meo o he io i he eio. Simill

More information

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

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

More information

Physics 15 Second Hour Exam

Physics 15 Second Hour Exam hc 5 Second Hou e nwe e Mulle hoce / ole / ole /6 ole / ------------------------------- ol / I ee eone ole lee how ll wo n ode o ecee l ced. I ou oluon e llegle no ced wll e gen.. onde he collon o wo 7.

More information

SUMMATION OF INFINITE SERIES REVISITED

SUMMATION OF INFINITE SERIES REVISITED SUMMATION OF INFINITE SERIES REVISITED I several aricles over he las decade o his web page we have show how o sum cerai iiie series icludig he geomeric series. We wa here o eed his discussio o he geeral

More information

Math 2414 Homework Set 7 Solutions 10 Points

Math 2414 Homework Set 7 Solutions 10 Points Mah Homework Se 7 Soluios 0 Pois #. ( ps) Firs verify ha we ca use he iegral es. The erms are clearly posiive (he epoeial is always posiive ad + is posiive if >, which i is i his case). For decreasig we

More information

Outline. Review Homework Problem. Review Homework Problem II. Review Dimensionless Problem. Review Convection Problem

Outline. Review Homework Problem. Review Homework Problem II. Review Dimensionless Problem. Review Convection Problem adial diffsio eqaio Febay 4 9 Diffsio Eqaios i ylidical oodiaes ay aeo Mechaical Egieeig 5B Seia i Egieeig Aalysis Febay 4, 9 Olie eview las class Gadie ad covecio boday codiio Diffsio eqaio i adial coodiaes

More information

Technical Appendix for Inventory Management for an Assembly System with Product or Component Returns, DeCroix and Zipkin, Management Science 2005.

Technical Appendix for Inventory Management for an Assembly System with Product or Component Returns, DeCroix and Zipkin, Management Science 2005. Techc Appedx fo Iveoy geme fo Assemy Sysem wh Poduc o Compoe eus ecox d Zp geme Scece 2005 Lemm µ µ s c Poof If J d µ > µ he ˆ 0 µ µ µ µ µ µ µ µ Sm gumes essh he esu f µ ˆ > µ > µ > µ o K ˆ If J he so

More information

Review for the Midterm Exam.

Review for the Midterm Exam. Review for he iderm Exm Rememer! Gross re e re Vriles suh s,, /, p / p, r, d R re gross res 2 You should kow he disiio ewee he fesile se d he udge se, d kow how o derive hem The Fesile Se Wihou goverme

More information

WELSH JOINT EDUCATION COMMITTEE CYD-BWYLLGOR ADDYSG CYMRU MATHEMATICS. FORMULA BOOKLET (New Specification)

WELSH JOINT EDUCATION COMMITTEE CYD-BWYLLGOR ADDYSG CYMRU MATHEMATICS. FORMULA BOOKLET (New Specification) WELSH JOINT EDUCATION COMMITTEE CYD-BWYLLGOR ADDYSG CYMRU Gl Ciic o Eucio Avc Lvl/Avc Susii Tssgi Asg Giol So Uwch/Uwch Gol MATHEMATICS FORMULA BOOKLET Nw Spciicio Issu 004 Msuio Suc o sph 4π A o cuv suc

More information

ONE RANDOM VARIABLE F ( ) [ ] x P X x x x 3

ONE RANDOM VARIABLE F ( ) [ ] x P X x x x 3 The Cumulive Disribuio Fucio (cd) ONE RANDOM VARIABLE cd is deied s he probbiliy o he eve { x}: F ( ) [ ] x P x x - Applies o discree s well s coiuous RV. Exmple: hree osses o coi x 8 3 x 8 8 F 3 3 7 x

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

Week 8 Lecture 3: Problems 49, 50 Fourier analysis Courseware pp (don t look at French very confusing look in the Courseware instead)

Week 8 Lecture 3: Problems 49, 50 Fourier analysis Courseware pp (don t look at French very confusing look in the Courseware instead) Week 8 Lecure 3: Problems 49, 5 Fourier lysis Coursewre pp 6-7 (do look Frech very cofusig look i he Coursewre ised) Fourier lysis ivolves ddig wves d heir hrmoics, so i would hve urlly followed fer he

More information

LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF MARCINKIEWICZ OPERATOR

LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF MARCINKIEWICZ OPERATOR Reseh d ouiios i heis d hei Siees Vo. Issue Pges -46 ISSN 9-699 Puished Oie o Deee 7 Joi Adei Pess h://oideiess.e IPSHITZ ESTIATES FOR UTIINEAR OUTATOR OF ARINKIEWIZ OPERATOR DAZHAO HEN Dee o Siee d Ioio

More information

4.1 Schrödinger Equation in Spherical Coordinates

4.1 Schrödinger Equation in Spherical Coordinates Phs 34 Quu Mehs D 9 9 Mo./ Wed./ Thus /3 F./4 Mo., /7 Tues. / Wed., /9 F., /3 4.. -. Shodge Sphe: Sepo & gu (Q9.) 4..-.3 Shodge Sphe: gu & d(q9.) Copuo: Sphe Shodge s 4. Hdoge o (Q9.) 4.3 gu Moeu 4.4.-.

More information

Chapter 6 - Work and Energy

Chapter 6 - Work and Energy Caper 6 - Work ad Eergy Rosedo Pysics 1-B Eploraory Aciviy Usig your book or e iere aswer e ollowig quesios: How is work doe? Deie work, joule, eergy, poeial ad kieic eergy. How does e work doe o a objec

More information

Lecture 4. Electrons and Holes in Semiconductors

Lecture 4. Electrons and Holes in Semiconductors ecue 4 lec ad Hle i Semicduc I hi lecue yu will lea: eeai-ecmbiai i emicduc i me deail The baic e f euai gveig he behavi f elec ad hle i emicduc Shcley uai Quai-eualiy i cducive maeial C 35 Sig 2005 Faha

More information

IJRET: International Journal of Research in Engineering and Technology eissn: pissn:

IJRET: International Journal of Research in Engineering and Technology eissn: pissn: IJRE: Iiol Joul o Rh i Eii d holo I: 39-63 I: 3-738 VRIE OF IME O RERUIME FOR ILE RDE MOWER EM WI DIFFERE EO FOR EXI D WO E OF DEIIO VI WO REOLD IVOLVI WO OMOE. Rvihd. iiv i oo i Mhi R Eii oll RM ROU ih

More information

Generalized Fibonacci-Type Sequence and its Properties

Generalized Fibonacci-Type Sequence and its Properties Geelized Fibocci-Type Sequece d is Popeies Ompsh Sihwl shw Vys Devshi Tuoil Keshv Kuj Mdsu (MP Idi Resech Schol Fculy of Sciece Pcific Acdemy of Highe Educio d Resech Uivesiy Udipu (Rj Absc: The Fibocci

More information

X-Ray Notes, Part III

X-Ray Notes, Part III oll 6 X-y oe 3: Pe X-Ry oe, P III oe Deeo Coe oupu o x-y ye h look lke h: We efe ue of que lhly ffee efo h ue y ovk: Co: C ΔS S Sl o oe Ro: SR S Co o oe Ro: CR ΔS C SR Pevouly, we ee he SR fo ye hv pxel

More information

CHATTERJEA CONTRACTION MAPPING THEOREM IN CONE HEPTAGONAL METRIC SPACE

CHATTERJEA CONTRACTION MAPPING THEOREM IN CONE HEPTAGONAL METRIC SPACE Fameal Joal of Mahemaic a Mahemaical Sciece Vol. 7 Ie 07 Page 5- Thi pape i aailable olie a hp://.fi.com/ Pblihe olie Jaa 0 07 CHATTERJEA CONTRACTION MAPPING THEOREM IN CONE HEPTAGONAL METRIC SPACE Caolo

More information

Degree of Approximation of Fourier Series

Degree of Approximation of Fourier Series Ieaioal Mahemaical Foum Vol. 9 4 o. 9 49-47 HIARI Ld www.m-hiai.com h://d.doi.og/.988/im.4.49 Degee o Aoimaio o Fouie Seies by N E Meas B. P. Padhy U.. Misa Maheda Misa 3 ad Saosh uma Naya 4 Deame o Mahemaics

More information

F l a s h-b a s e d S S D s i n E n t e r p r i s e F l a s h-b a s e d S S D s ( S o-s ltiad t e D r i v e s ) a r e b e c o m i n g a n a t t r a c

F l a s h-b a s e d S S D s i n E n t e r p r i s e F l a s h-b a s e d S S D s ( S o-s ltiad t e D r i v e s ) a r e b e c o m i n g a n a t t r a c L i f e t i m e M a n a g e m e n t o f F l a-b s ah s e d S S D s U s i n g R e c o v e r-a y w a r e D y n a m i c T h r o t t l i n g S u n g j i n L e, e T a e j i n K i m, K y u n g h o, Kainmd J

More information

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

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

More information

Fresnel Dragging Explained

Fresnel Dragging Explained Fresel Draggig Explaied 07/05/008 Decla Traill Decla@espace.e.au The Fresel Draggig Coefficie required o explai he resul of he Fizeau experime ca be easily explaied by usig he priciples of Eergy Field

More information

Electromechanical System Dynamics, energy Conversion, and Electromechanical Analogies. Modeling of Dynamic Systems

Electromechanical System Dynamics, energy Conversion, and Electromechanical Analogies. Modeling of Dynamic Systems Elecroecicl Syse Dyics, eergy Coersio, d Elecroecicl Alogies Modelig of Dyic Syses Modelig of dyic syses y e doe i seerl wys: Use e sdrd equio of oio Newo s Lw for ecicl syses Use circuis eores O s lw

More information

! ( ! ( " ) ) ( ( # BRENT CROSS CRICKLEWOOD BXC PHASE 1B NORTH PERSONAL INJURY ACCIDENT AREA ANALYSIS STUDY AREA TP-SK-0001.

! ( ! (  ) ) ( ( # BRENT CROSS CRICKLEWOOD BXC PHASE 1B NORTH PERSONAL INJURY ACCIDENT AREA ANALYSIS STUDY AREA TP-SK-0001. # PU: P # OU: O ow oih ih. Oc v c: i,, o,, I, ic P o., O, U, FO, P,, o, I,, Oc v, i J, I, i hi, woo, Ii, O ciuo, h I U i h wi h fo h of O' ci. I o, oifi, c o i u hi, xc O o qui w. O cc o iii, iii whov,

More information

Cameras and World Geometry

Cameras and World Geometry Caeas ad Wold Geoe How all is his woa? How high is he caea? Wha is he caea oaio w. wold? Which ball is close? Jaes Has Thigs o eebe Has Pihole caea odel ad caea (pojecio) ai Hoogeeous coodiaes allow pojecio

More information

Executive Committee and Officers ( )

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

More information

Applications of force vibration. Rotating unbalance Base excitation Vibration measurement devices

Applications of force vibration. Rotating unbalance Base excitation Vibration measurement devices Applicaios of foce viaio Roaig ualace Base exciaio Viaio easuee devices Roaig ualace 1 Roaig ualace: Viaio caused y iegulaiies i he disiuio of he ass i he oaig copoe. Roaig ualace 0 FBD 1 FBD x x 0 e 0

More information

Chapter 10. Simple Harmonic Motion and Elasticity. Goals for Chapter 10

Chapter 10. Simple Harmonic Motion and Elasticity. Goals for Chapter 10 Chper 0 Siple Hronic Moion nd Elsiciy Gols or Chper 0 o ollow periodic oion o sudy o siple hronic oion. o sole equions o siple hronic oion. o use he pendulu s prooypicl syse undergoing siple hronic oion.

More information

Optical flow equation

Optical flow equation Opical Flow Sall oio: ( ad ae le ha piel) H() I(++) Be foce o poible ppoe we ake he Talo eie epaio of I: (Sei) Opical flow eqaio Cobiig hee wo eqaio I he lii a ad go o eo hi becoe eac (Sei) Opical flow

More information

Science Advertisement Intergovernmental Panel on Climate Change: The Physical Science Basis 2/3/2007 Physics 253

Science Advertisement Intergovernmental Panel on Climate Change: The Physical Science Basis   2/3/2007 Physics 253 Science Adeisemen Inegoenmenl Pnel on Clime Chnge: The Phsicl Science Bsis hp://www.ipcc.ch/spmfeb7.pdf /3/7 Phsics 53 hp://www.fonews.com/pojecs/pdf/spmfeb7.pdf /3/7 Phsics 53 3 Sus: Uni, Chpe 3 Vecos

More information

Lecture 3 summary. C4 Lecture 3 - Jim Libby 1

Lecture 3 summary. C4 Lecture 3 - Jim Libby 1 Lecue su Fes of efeece Ivce ude sfoos oo of H wve fuco: d-fucos Eple: e e - µ µ - Agul oeu s oo geeo Eule gles Geec slos cosevo lws d Noehe s heoe C4 Lecue - Lbb Fes of efeece Cosde fe of efeece O whch

More information

Use precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D

Use precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D Lesson eight What are characteristics of chemical reactions? Science Constructing Explanations, Engaging in Argument and Obtaining, Evaluating, and Communicating Information ENGLISH LANGUAGE ARTS Reading

More information

K owi g yourself is the begi i g of all wisdo.

K owi g yourself is the begi i g of all wisdo. I t odu tio K owi g yourself is the begi i g of all wisdo. A istotle Why You Need Insight Whe is the last ti e ou a e e e taki g ti e to thi k a out ou life, ou alues, ou d ea s o ou pu pose i ei g o this

More information

H STO RY OF TH E SA NT

H STO RY OF TH E SA NT O RY OF E N G L R R VER ritten for the entennial of th e Foundin g of t lair oun t y on ay 8 82 Y EEL N E JEN K RP O N! R ENJ F ] jun E 3 1 92! Ph in t ed b y h e t l a i r R ep u b l i c a n O 4 1922

More information

LEADER & ACHIEVER COURSE PHASE : MLA,MLB,MLC, MLD, MLE,MLF, MLG, MLH, MLI, MLJ, MAZA,MAZB & MAZC TARGET : PRE-MEDICAL 2016

LEADER & ACHIEVER COURSE PHASE : MLA,MLB,MLC, MLD, MLE,MLF, MLG, MLH, MLI, MLJ, MAZA,MAZB & MAZC TARGET : PRE-MEDICAL 2016 CSSRM CNTCT PRGRMME (cdeic Sessio : 05-06) EDER & CIEVER CURSE PSE : M,M,MC, MD, ME,MF, MG, M, MI, MJ, MZ,MZ & MZC Tes Type : MJR TRGET : PRE-MEDIC 06 Tes Per : IPMT TEST DTE : 07-04 - 06 TEST SYUS : SYUS

More information

Department of Mathematics. Birla Institute of Technology, Mesra, Ranchi MA 2201(Advanced Engg. Mathematics) Session: Tutorial Sheet No.

Department of Mathematics. Birla Institute of Technology, Mesra, Ranchi MA 2201(Advanced Engg. Mathematics) Session: Tutorial Sheet No. Dpm o Mhmics Bi Isi o Tchoog Ms Rchi MA Advcd gg. Mhmics Sssio: 7---- MODUL IV Toi Sh No. --. Rdc h oowig i homogos dii qios io h Sm Liovi om: i. ii. iii. iv. Fid h ig-vs d ig-cios o h oowig Sm Liovi bod

More information

Lecture 4. Electrons and Holes in Semiconductors

Lecture 4. Electrons and Holes in Semiconductors Lecue 4 lec ad Hle i Semicduc I hi lecue yu will lea: Geeai-ecmbiai i emicduc i me deail The baic e f euai gveig he behavi f elec ad hle i emicduc Shckley uai Quai-eualiy i cducive maeial C 35 Sig 2005

More information

David Randall. ( )e ikx. k = u x,t. u( x,t)e ikx dx L. x L /2. Recall that the proof of (1) and (2) involves use of the orthogonality condition.

David Randall. ( )e ikx. k = u x,t. u( x,t)e ikx dx L. x L /2. Recall that the proof of (1) and (2) involves use of the orthogonality condition. ! Revised April 21, 2010 1:27 P! 1 Fourier Series David Radall Assume ha u( x,) is real ad iegrable If he domai is periodic, wih period L, we ca express u( x,) exacly by a Fourier series expasio: ( ) =

More information

DERIVING THE DEMAND CURVE ASSUMING THAT THE MARGINAL UTILITY FUNCTIONS ARE LINEAR

DERIVING THE DEMAND CURVE ASSUMING THAT THE MARGINAL UTILITY FUNCTIONS ARE LINEAR Bllei UASVM, Horilre 65(/008 pissn 1843-554; eissn 1843-5394 DERIVING THE DEMAND CURVE ASSUMING THAT THE MARGINAL UTILITY FUNCTIONS ARE LINEAR Crii C. MERCE Uiveriy of Agrilrl iee d Veeriry Mediie Clj-Npo,

More information

Thermal Stresses of Semi-Infinite Annular Beam: Direct Problem

Thermal Stresses of Semi-Infinite Annular Beam: Direct Problem iol ol o L choloy i Eii M & Alid Scic LEMAS Vol V Fy 8 SSN 78-54 hl S o Si-ii Al B: Dic Pol Viv Fl M. S. Wh d N. W. hod 3 D o Mhic Godw Uiviy Gdchioli M.S di D o Mhic Svody Mhvidyly Sidwhi M.S di 3 D o

More information

TWO INTERFACIAL COLLINEAR GRIFFITH CRACKS IN THERMO- ELASTIC COMPOSITE MEDIA

TWO INTERFACIAL COLLINEAR GRIFFITH CRACKS IN THERMO- ELASTIC COMPOSITE MEDIA WO INERFIL OLLINER GRIFFIH RS IN HERMO- ELSI OMOSIE MEDI h m MISHR S DS * Deme o Mheml See I Ie o eholog BHU V-5 I he oee o he le o he e e o eeg o o olle Gh e he ee o he wo ohoo mel e e e emee el. he olem

More information

ME 141. Engineering Mechanics

ME 141. Engineering Mechanics ME 141 Engineeing Mechnics Lecue 13: Kinemics of igid bodies hmd Shhedi Shkil Lecue, ep. of Mechnicl Engg, UET E-mil: sshkil@me.bue.c.bd, shkil6791@gmil.com Websie: eche.bue.c.bd/sshkil Couesy: Veco Mechnics

More information

ARC 202L. Not e s : I n s t r u c t o r s : D e J a r n e t t, L i n, O r t e n b e r g, P a n g, P r i t c h a r d - S c h m i t z b e r g e r

ARC 202L. Not e s : I n s t r u c t o r s : D e J a r n e t t, L i n, O r t e n b e r g, P a n g, P r i t c h a r d - S c h m i t z b e r g e r ARC 202L C A L I F O R N I A S T A T E P O L Y T E C H N I C U N I V E R S I T Y D E P A R T M E N T O F A R C H I T E C T U R E A R C 2 0 2 L - A R C H I T E C T U R A L S T U D I O W I N T E R Q U A

More information

D zone schemes

D zone schemes Ch. 5. Enegy Bnds in Cysls 5.. -D zone schemes Fee elecons E k m h Fee elecons in cysl sinα P + cosα cosk α cos α cos k cos( k + π n α k + πn mv ob P 0 h cos α cos k n α k + π m h k E Enegy is peiodic

More information

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

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

More information

Derivation of the Metal-Semiconductor Junction Current

Derivation of the Metal-Semiconductor Junction Current .4.4. Derivio of e Mel-Seiouor uio Curre.4.4.1.Derivio of e iffuio urre We r fro e epreio for e ol urre e iegre i over e wi of e epleio regio: q( µ + D (.4.11 wi be rewrie b uig -/ uliplig bo ie of e equio

More information

Faraday s Law. To be able to find. motional emf transformer and motional emf. Motional emf

Faraday s Law. To be able to find. motional emf transformer and motional emf. Motional emf Objecie F s w Tnsfome Moionl To be ble o fin nsfome. moionl nsfome n moionl. 331 1 331 Mwell s quion: ic Fiel D: Guss lw :KV : Guss lw H: Ampee s w Poin Fom Inegl Fom D D Q sufce loop H sufce H I enclose

More information

[ m] x = 0.25cos 20 t sin 20 t m

[ m] x = 0.25cos 20 t sin 20 t m . x.si ( 5 s [ ] CHAPER OSCILLAIONS x ax (.( ( 5 6. s s ( ( ( xax. 5.7 s s. x.si [] x. cos s Whe, x a x.5. s 5s.6 s x. x( x cos + si a f ( ( [ ] x.5cos +.59si. ( ( cos α β cosαcos β + siαsi β x Acos φ

More information

Today - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations

Today - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations Today - Lecue 13 Today s lecue coninue wih oaions, oque, Noe ha chapes 11, 1, 13 all inole oaions slide 1 eiew Roaions Chapes 11 & 1 Viewed fom aboe (+z) Roaional, o angula elociy, gies angenial elociy

More information

Fourier Series and Applications

Fourier Series and Applications 9/7/9 Fourier Series d Applictios Fuctios epsio is doe to uderstd the better i powers o etc. My iportt probles ivolvig prtil dieretil equtios c be solved provided give uctio c be epressed s iiite su o

More information

Name: Period: Date: 2.1 Rules of Exponents

Name: Period: Date: 2.1 Rules of Exponents SM NOTES Ne: Period: Dte:.1 Rules of Epoets The followig properties re true for ll rel ubers d b d ll itegers d, provided tht o deoitors re 0 d tht 0 0 is ot cosidered. 1 s epoet: 1 1 1 = e.g.) 7 = 7,

More information

Beechwood Music Department Staff

Beechwood Music Department Staff Beechwood Music Department Staff MRS SARAH KERSHAW - HEAD OF MUSIC S a ra h K e rs h a w t r a i n e d a t t h e R oy a l We ls h C o l le g e of M u s i c a n d D ra m a w h e re s h e ob t a i n e d

More information

Physic 231 Lecture 4. Mi it ftd l t. Main points of today s lecture: Example: addition of velocities Trajectories of objects in 2 = =

Physic 231 Lecture 4. Mi it ftd l t. Main points of today s lecture: Example: addition of velocities Trajectories of objects in 2 = = Mi i fd l Phsic 3 Lecure 4 Min poins of od s lecure: Emple: ddiion of elociies Trjecories of objecs in dimensions: dimensions: g 9.8m/s downwrds ( ) g o g g Emple: A foobll pler runs he pern gien in he

More information

_ J.. C C A 551NED. - n R ' ' t i :. t ; . b c c : : I I .., I AS IEC. r '2 5? 9

_ J.. C C A 551NED. - n R ' ' t i :. t ; . b c c : : I I .., I AS IEC. r '2 5? 9 C C A 55NED n R 5 0 9 b c c \ { s AS EC 2 5? 9 Con 0 \ 0265 o + s ^! 4 y!! {! w Y n < R > s s = ~ C c [ + * c n j R c C / e A / = + j ) d /! Y 6 ] s v * ^ / ) v } > { ± n S = S w c s y c C { ~! > R = n

More information

Curvilinear Motion: Normal and Tangential Components

Curvilinear Motion: Normal and Tangential Components 15 Crviliear Moio: Noral ad Tageial Copoe Ref: Hibbeler 1.7, Bedford & Fowler: Dyaic.3 Whe he pah of a paricle i kow, a - coordiae ye wih a origi a he locaio of he paricle (a a ia i ie) ca be helpfl i

More information

«A first lesson on Mathematical Induction»

«A first lesson on Mathematical Induction» Bcgou ifotio: «A fist lesso o Mtheticl Iuctio» Mtheticl iuctio is topic i H level Mthetics It is useful i Mtheticl copetitios t ll levels It hs bee coo sight tht stuets c out the poof b theticl iuctio,

More information

Control Volume Derivation

Control Volume Derivation School of eospace Engineeing Conol Volume -1 Copyigh 1 by Jey M. Seizman. ll ighs esee. Conol Volume Deiaion How o cone ou elaionships fo a close sysem (conol mass) o an open sysem (conol olume) Fo mass

More information

Hyperbolic Heat Equation as Mathematical Model for Steel Quenching of L-shape and T-shape Samples, Direct and Inverse Problems

Hyperbolic Heat Equation as Mathematical Model for Steel Quenching of L-shape and T-shape Samples, Direct and Inverse Problems SEAS RANSACIONS o HEA MASS RANSER Bos M Be As Bs Hpeo He Eo s Me Moe o See Qe o L-spe -spe Spes De Iese Poes ABIA BOBINSKA o Pss Mes es o L Ze See 8 L R LAIA e@o MARARIA BIKE ANDRIS BIKIS Ise o Mes Cope

More information

Yamaha Virago V-twin. Instruction manual with visual guide for Yamaha XV

Yamaha Virago V-twin. Instruction manual with visual guide for Yamaha XV Yamaha Virago V-twin Instruction manual with visual guide for Yamaha XV700-1100 PHOTO HOWN FOR ILLU TRATION PURPO E ONLY We o use a o e pie e housi g a d s all si gle to e oils fo i p o ed ope aio. If

More information

Duration Notes 1. To motivate this measure, observe that the duration may also be expressed as. a a T a

Duration Notes 1. To motivate this measure, observe that the duration may also be expressed as. a a T a Duio Noes Mculy defied he duio of sse i 938. 2 Le he sem of pymes cosiuig he sse be,,..., d le /( + ) deoe he discou fco. he Mculy's defiiio of he duio of he sse is 3 2 D + 2 2 +... + 2 + + + + 2... o

More information

THIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.

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

More information

Continues Model for Vertical Vibration of Tension Leg Platform

Continues Model for Vertical Vibration of Tension Leg Platform Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a 7-9 6 pp58-53 Coies ode o Veia Viaio o esio Leg Pao. R. SPOUR.. GOLSNI. S. SI Depae o Cii gieeig Sai Uiesi o eoog zadi e. ea P.O. ox: 365-933 IRN sa:

More information

Let s express the absorption of radiation by dipoles as a dipole correlation function.

Let s express the absorption of radiation by dipoles as a dipole correlation function. MIT Deparme of Chemisry 5.74, Sprig 004: Iroducory Quaum Mechaics II Isrucor: Prof. Adrei Tokmakoff p. 81 Time-Correlaio Fucio Descripio of Absorpio Lieshape Le s express he absorpio of radiaio by dipoles

More information

Use precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D

Use precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D Lesson seven What is a chemical reaction? Science Constructing Explanations, Engaging in Argument and Obtaining, Evaluating, and Communicating Information ENGLISH LANGUAGE ARTS Reading Informational Text,

More information

Fractional Fourier Series with Applications

Fractional Fourier Series with Applications Aeric Jourl o Couiol d Alied Mheics 4, 4(6): 87-9 DOI: 593/jjc446 Frciol Fourier Series wih Alicios Abu Hd I, Khlil R * Uiversiy o Jord, Jord Absrc I his er, we iroduce coorble rciol Fourier series We

More information

Spectral Simulation of Turbulence. and Tracking of Small Particles

Spectral Simulation of Turbulence. and Tracking of Small Particles Specra Siuaio of Turbuece ad Trackig of Sa Parices Hoogeeous Turbuece Saisica ie average properies RMS veociy fucuaios dissipaio rae are idepede of posiio. Hoogeeous urbuece ca be odeed wih radoy sirred

More information

Reinforcement learning

Reinforcement learning CS 75 Mchine Lening Lecue b einfocemen lening Milos Huskech milos@cs.pi.edu 539 Senno Sque einfocemen lening We wn o len conol policy: : X A We see emples of bu oupus e no given Insed of we ge feedbck

More information

Crosscorrelation of m-sequences, Exponential sums and Dickson

Crosscorrelation of m-sequences, Exponential sums and Dickson Cosscoelatio o m-equeces, Epoetial sums ad Dicso polyomials To Helleseth Uiesity o Bege NORWAY Joit wo with Aia Johase ad Aleade Kholosha Itoductio Outlie m-sequeces Coelatio o sequeces Popeties o m-sequeces

More information

COMPILATION OF AUTOMATA FROM MORPHOLOGICAL TWO-LEVEL RULES

COMPILATION OF AUTOMATA FROM MORPHOLOGICAL TWO-LEVEL RULES Kimmo Koskenniemi Re se ar ch Unit for Co mp ut at io na l Li ng ui st ic s University of Helsinki, Hallituskatu 11 SF-00100 Helsinki, Finland COMPILATION OF AUTOMATA FROM MORPHOLOGICAL TWO-LEVEL RULES

More information

Four equations describe the dynamic solution to RBC model. Consumption-leisure efficiency condition. Consumption-investment efficiency condition

Four equations describe the dynamic solution to RBC model. Consumption-leisure efficiency condition. Consumption-investment efficiency condition LINEARIZING AND APPROXIMATING THE RBC MODEL SEPTEMBER 7, 200 For f( x, y, z ), mulivariable Taylor liear expasio aroud ( x, yz, ) f ( x, y, z) f( x, y, z) + f ( x, y, z)( x x) + f ( x, y, z)( y y) + f

More information

Rapid growth in enrolment within the French Immersion program

Rapid growth in enrolment within the French Immersion program Nw Nh Ajx Fch Ii ch- Ovviw R Di PS p i Spb 2009 u ck Egih Fch Ii ch Egih Fch Ii Y E E Pb 2009 333 197 0 2010 405 281 2 2011 431 332 6 2012 466 409 10 2013 486 474 14 Rpi gwh i wihi h Fch Ii pg Pp c Fch

More information

UNIT I FOURIER SERIES T

UNIT I FOURIER SERIES T UNIT I FOURIER SERIES PROBLEM : Th urig mom T o h crkh o m gi i giv or ri o vu o h crk g dgr 6 9 5 8 T 5 897 785 599 66 Epd T i ri o i. Souio: L T = i + i + i +, Sic h ir d vu o T r rpd gc o T T i T i

More information

1. Kinematics of Particles

1. Kinematics of Particles 1. Kinemics o Picles 1.1 Inoducion o Dnmics Dnmics - Kinemics: he sud o he geome o moion; ele displcemen, eloci, cceleion, nd ime, wihou eeence o he cuse o he moion. - Kineics: he sud o he elion eising

More information

Viewing in 3D. Viewing in 3D. Planar Geometric Projections. Taxonomy of Projections. How to specify which part of the 3D world is to be viewed?

Viewing in 3D. Viewing in 3D. Planar Geometric Projections. Taxonomy of Projections. How to specify which part of the 3D world is to be viewed? Viewig i 3D Viewig i 3D How o speci which pa o he 3D wo is o e viewe? 3D viewig voume How o asom 3D wo cooiaes o D ispa cooiae? Pojecios Cocepua viewig pipeie: Xom o ee coos 3D cippig Pojec Xom o viewpo

More information

Software Process Models there are many process model s in th e li t e ra t u re, s om e a r e prescriptions and some are descriptions you need to mode

Software Process Models there are many process model s in th e li t e ra t u re, s om e a r e prescriptions and some are descriptions you need to mode Unit 2 : Software Process O b j ec t i ve This unit introduces software systems engineering through a discussion of software processes and their principal characteristics. In order to achieve the desireable

More information

VARIED SIZED FLOOR PLATE S O N - S I T E B U I L D I N G A M E N I T I E S

VARIED SIZED FLOOR PLATE S O N - S I T E B U I L D I N G A M E N I T I E S VAIED SIZED FLOO PLAE S O - S I E B U I L D I G A E I I E S AVAILABILIIES HIGH-ISE EIE 29H FLOO 16,584 SF LEASE OU ID-ISE PAIAL 18H FLOO 12,459 SF 08/2019 ID-ISE PAIAL 14H FLOO 7,232 SF 08/2019 LOW-ISE

More information

SLOW INCREASING FUNCTIONS AND THEIR APPLICATIONS TO SOME PROBLEMS IN NUMBER THEORY

SLOW INCREASING FUNCTIONS AND THEIR APPLICATIONS TO SOME PROBLEMS IN NUMBER THEORY VOL. 8, NO. 7, JULY 03 ISSN 89-6608 ARPN Jourl of Egieerig d Applied Sciece 006-03 Ai Reerch Publihig Nework (ARPN). All righ reerved. www.rpjourl.com SLOW INCREASING FUNCTIONS AND THEIR APPLICATIONS TO

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