Stenciling. 5 th Week, Reflection without Using the Stencil Buffer
|
|
- Rolf Murphy
- 6 years ago
- Views:
Transcription
1 Secilig 5 h Week, 9 Reflecio wihou Usig he Secil Buffe
2 Blockig he Reflecio Usig he Secil Buffe Secil Buffe A off-scee buffe fo secial effecs Haig same esoluio as he back buffe a eh buffe To block eeig o ceai as of he back buffe Simle ieface offes a fleible a oweful se of caabiliies like bleig Alicaios: mios, laa shaows
3 Objecies To gai a uesaig of how he secil buffe woks, how o ceae a secil buffe, a how we ca cool he secil buffe To lea how o imleme mios a usig he secil buffe o ee e eflecios fom beig aw o o-mio sufaces To iscoe how o ee shaows a ee ouble bleig b usig he secil buffe Usig he Secil Buffe Eablig he secil buffe g3deice->sereesae(d3drs_stencienabe, ue);... // o secil wok g3deice->sereesae(d3drs_stencienabe, false); Cleaig he secil buffe o a efaul alue g3deice->clea(,, D3DCEAR_TARGET D3DCEAR_ZBUFFER D3DCEAR_STENCI, ff, 1.f, );
4 Requesig a Secil Buffe (1) Ceaig a secil buffe a he ime he eh buffe is ceae To secif he foma of he secil buffe also whe secifig he foma of he eh buffe E) hee eh/secil fomas D3DFMT_D4S8D4S8 D3DFMT_D4X4S4 D3DFMT_D15S1D15S1 cf) D3DFMT_D3 Requesig a Secil Buffe ()
5 The Secil Tes Decisio o block a aicula iel fom beig wie IF ef & mask alue & mask ue THEN acce iel ESE ejec iel Pefome fo ee iel ef-ha-sie oea (HS ef & mask) ANDig alicaio-efie secil efeece alue (ef) wih a alicaio-efie maskig alue (mask) Righ-ha-sie oea (RHS alue & mask) ANDig e i he secil buffe fo he aicula iel (ef) wih alicaio-efie maskig alue (mask) Comaiso oeaio : if ue, he iel is wie Cf) If a iel is wie o he back buffe, i is wie o he eh buffe eihe. Coollig he Secil Tes (1) Secifig he secil efeece alue, he mask alue, a he comaiso oeaio Secil efeece alue: ef Zeo b efaul Useful o see whe oig biwise oeaios g3deice->sereesae(d3drs >SeReeSae(D3DRS_STENCIREF D3DRS_STENCIREF, STENCIREF, 1); Secil mask: mask Maskig (Hiig) bis i boh he ef a alue aiables ffffffff b efaul g3deice->sereesae(d3drs_stencimask, ffff); Secil alue: alue Value i he secil buffe fo he cue iel
6 Coollig he Secil Tes () Comaiso oeaio: IF ef & mask alue & mask ue THEN acce iel ESE ejec iel g3deice->sereesae(d3drs_stencifunc, D3DCMP_AWAYS); eef eum _D3DCOMPFUNC { D3DCMP_NEVER 1, D3DCMP_ESS, D3DCMP_EQUA 3, D3DCMP_ESSEQUA 4, D3DCMP_GREATER 5, D3DCMP_NOTEQUA 6, D3DCMP_GREATEREQUA 7, D3DCMP_AWAYS 8, D3DCMP_FORCE_DWORD 7ffffff } D3DCOMPFUNC; C Coollig he Secil Tes (3) Comaiso oeaio: (co ) D3DCMP_NEVER: secil es alwas fails (he iel is alwas ejece) D3DCMP_ESS: elace wih < oeao D3DCMP_EQUA: elace wih oeao D3DCMP_ESSEQUA: elace wih oeao D3DCMP_GREATER: elace wih > oeao D3DCMP_NOTEQUA: elace wih! oeao D3DCMP_GREATEREQUA: elace wih oeao D3DCMP_AWAYS: secil es alwas succees (he iel is alwas aw)
7 Uaig he Secil Buffe (1) Defiig how he secil buffe e shoul be uae base o hee ossible cases: The secil es fails 3Deice->SeReeSae(D3DRS_STENCIFAI, SecilOeaio); The eh es fails 3Deice->SeReeSae(D3DRS_STENCIZFAI, SecilOeaio); The eh hes a secil iles succee 3Deice->SeReeSae(D3DRS_STENCIPASS, SecilOeaio); D3DSTENCIOP_KEEP D3DSTENCIOP_ZERO D3DSTENCIOP_ REPACE D3DSTENCIOP_INVERT D3DSTENCIOP_INCRSAT D3DSTENCIOP_DECRSAT D3DSTENCIOP_ INCR D3DSTENCIOP_DECR Uaig he Secil Buffe () SecilOeaio D3DSTENCIOP_KEEP: kee he secil buffe e D3DSTENCIOP_ZERO: se he secil buffe e o eo D3DSTENCIOP_REPACE: elace he secil buffe e wih he secil-efeece alue D3DSTENCIOP_INCRSAT: iceme he secil buffe e (clam he e o ha maimum) D3DSTENCIOP_DECRSAT: eceme he secil buffe e (clam he e o eo) D3DSTENCIOP_INVERT: ie he bis of he secil buffe e D3DSTENCIOP_INCR: INCR: iceme he secil buffe e (wa o eo) D3DSTENCIOP_DECR: eceme he secil buffe e (wa o he maimum)
8 Secil Wie Mask Maskig off bis of a alue we wie o he secil buffe ffffffff b efaul 3Deice->SeReeSae(D3DRS >SeReeSae(D3DRS_STENCIWRITEMASK D3DRS_STENCIWRITEMASK, STENCIWRITEMASK, ffff); Mio Demo
9 Imlemeig Mios o Plaa Sufaces Solig wo oblems Solig wo oblems How o eflec a objec abou a abia lae Aalical Geome Aalical Geome Dislaig he eflecio ol i a mio Secil Buffe Secil Buffe Aalical Geome Aalical Geome Secil Buffe Secil Buffe The Mahemaics of Reflecio (1) The Mahemaics of Reflecio (1) How o comue he eflecio oi ( ) How o comue he eflecio oi of a oi abou a abia lae ( ),, ( ),, ˆ ( ),, kˆ ( ) ˆ ˆ ˆ k q ˆ k kˆ ( ) Mai Mai Mai Mai ˆ ( ),, R
10 The Mahemaics of Reflecio () D3DX liba oies he fucio o ceae he eflecio mai D3DXMATRIX *D3DXMaiReflec( D3DXMATRIX *Ou, CONST D3DXPANE *Plae ); The eflecios abou he hee saa cooiae laes he,, a laes R R R Mio Imlemeaio Oeiew 1. Ree he eie scee as omal. Clea he secil buffe o Back Buffe Secil Buffe 3. Ree he imiies ha make u he mio io he secil buffe ol Secil es: alwas succeeig Secil oeaio: elacig wih 1 if he es asses Back Buffe Secil Buffe 4. Ree he eflece eao o he back buffe a secil buffe
11 Eablig he Secil Buffe Reeig he Mio
12 Peaig he Reflecio Comuaio of he Reflecio Mai
13 Disablig he Deh Buffe Cleaig u
14 Plaa Shaow Demo Plaa Shaow Shaows ha lie o a lae To ai i ou eceio of whee ligh is beig emie To make he scee moe ealisic Imlemeaio Fiig he shaow a objec cass o a lae a moelig i geomeicall 3D Mah Reeig he shaow wih a black maeial a 5% asaec To ee ouble bleig fom occuig Secil Buffe
15 Paallel igh Shaows Paallel igh Shaows A a/lae iesecio A a/lae iesecio Ra () Iesecio Poi Plae Iesecio Poi s ( ) s ( ) ( ) s ( ) s s Poi igh Shaows Poi igh Shaows A a/lae iesecio A a/lae iesecio Ra () ( ) Iesecio Poi Plae Iesecio Poi ( ) s ( ) ( ) s ( ) ( ) ( ) s ( ) s s
16 The Shaow Mai (1) Diecioal igh Shaows Paallel Pojecio Poi igh Shaows Pesecie Pojecio Tasfomaio mai ojecio lae 4D eco ( ),,, iecio o locaio of a ligh 4D eco if w, he is he iecio,,, w if w 1, he is he locaio k w k w S k w w k whee k,,,,,, ( ) ( ) ( w ) w The Shaow Mai () D3DX liba oies he fucio o buil he shaow mai D3DXMATRIX *D3DXMaiShaow( D3DXMATRIX *Ou, CONST D3DXVECTOR4 *igh, ); CONST D3DXPANE *Plae igh: a eco escibig a aallel ligh if w o a oi ligh if w1 Plae: he lae o ojec he shaow io
17 Usig he Secil Buffe o Pee Double Bleig (1) Double bleig Oelaig iagles will ge blee mulile imes a hus aea ake The shaow eee wih ouble bleig. The shaow eee coecl. Usig he Secil Buffe o Pee Double Bleig () Solig ouble bleig oblem usig he secil buffe To ee wiig oelaig iels Seig he secil es o ol acce iels he fis ime Whe eeig he shaow s iels o he back buffe, makig he coesoig secil buffe eies
18 Seig he Secil Ree Saes Comuaio of he Shaow Tasfomaio
19 Reeig he Shaow a Cleaig u Maeials
20 Dawig he Shaow Eecises (1) Moif he Shaow emo b alig he followig escibe fi. If ou u he Shaow emo a moe he eao (usig he A a D kes) such ha he shaow goes off he floo, ou will obsee ha he shaow sill aw. This ca be fie b emloig he secil echique use fo he Mio emo; ha is mak he secil buffe iels ha coeso wih he floo a he ol ee he shaow iels ha coicie wih he floo.
21 Eecises () Moif he Shaow emo ogam o ee a oi ligh shaow isea of a aallel ligh shaow.
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 informationOne 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 informationViewing 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 informationCameras 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 informationDepartment of Chemical Engineering University of Tennessee Prof. David Keffer. Course Lecture Notes SIXTEEN
D. Keffe - ChE 40: Hea Tansfe and Fluid Flow Deamen of Chemical Enee Uniesi of Tennessee Pof. Daid Keffe Couse Lecue Noes SIXTEEN SECTION.6 DIFFERENTIL EQUTIONS OF CONTINUITY SECTION.7 DIFFERENTIL EQUTIONS
More informationENGI 4430 Advanced Calculus for Engineering Faculty of Engineering and Applied Science Problem Set 9 Solutions [Theorems of Gauss and Stokes]
ENGI 44 Avance alculus fo Engineeing Faculy of Engineeing an Applie cience Poblem e 9 oluions [Theoems of Gauss an okes]. A fla aea A is boune by he iangle whose veices ae he poins P(,, ), Q(,, ) an R(,,
More informationFresnel 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 informationPhysics 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 informationThe Production of Polarization
Physics 36: Waves Lecue 13 3/31/211 The Poducion of Polaizaion Today we will alk abou he poducion of polaized ligh. We aleady inoduced he concep of he polaizaion of ligh, a ansvese EM wave. To biefly eview
More informationLecture 22 Electromagnetic Waves
Lecue Elecomagneic Waves Pogam: 1. Enegy caied by he wave (Poyning veco).. Maxwell s equaions and Bounday condiions a inefaces. 3. Maeials boundaies: eflecion and efacion. Snell s Law. Quesions you should
More informationOptical 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 informationAvailable online at J. Math. Comput. Sci. 2 (2012), No. 4, ISSN:
Available olie a h://scik.og J. Mah. Comu. Sci. 2 (22), No. 4, 83-835 ISSN: 927-537 UNBIASED ESTIMATION IN BURR DISTRIBUTION YASHBIR SINGH * Deame of Saisics, School of Mahemaics, Saisics ad Comuaioal
More informationLecture 15: Three-tank Mixing and Lead Poisoning
Lecure 15: Three-ak Miig ad Lead Poisoig Eigevalues ad eigevecors will be used o fid he soluio of a sysem for ukow fucios ha saisfy differeial equaios The ukow fucios will be wrie as a 1 colum vecor [
More informationSections 3.1 and 3.4 Exponential Functions (Growth and Decay)
Secions 3.1 and 3.4 Eponenial Funcions (Gowh and Decay) Chape 3. Secions 1 and 4 Page 1 of 5 Wha Would You Rahe Have... $1million, o double you money evey day fo 31 days saing wih 1cen? Day Cens Day Cens
More informationThe Non-Truncated Bulk Arrival Queue M x /M/1 with Reneging, Balking, State-Dependent and an Additional Server for Longer Queues
Alied Maheaical Sciece Vol. 8 o. 5 747-75 The No-Tucaed Bul Aival Queue M x /M/ wih Reei Bali Sae-Deede ad a Addiioal Seve fo Loe Queue A. A. EL Shebiy aculy of Sciece Meofia Uiveiy Ey elhebiy@yahoo.co
More informationControl 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 informationECSE Partial fraction expansion (m<n) 3 types of poles Simple Real poles Real Equal poles
ECSE- Lecue. Paial facio expasio (m
More informationBINOMIAL 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 information2012 GCE A Level H2 Maths Solution Paper Let x,
GCE A Level H Maths Solutio Pape. Let, y ad z be the cost of a ticet fo ude yeas, betwee ad 5 yeas, ad ove 5 yeas categoies espectively. 9 + y + 4z =. 7 + 5y + z = 8. + 4y + 5z = 58.5 Fo ude, ticet costs
More informationCamera Models class 8
Camea Models class 8 Mulile View Geomey Com 29-89 Mac ollefeys Mulile View Geomey couse schedule (subjec o change) Jan. 7, 9 Ino & moivaion ojecive 2D Geomey Jan. 4, 6 (no class) ojecive 2D Geomey Jan.
More informationPhysics 232 Exam I Feb. 14, 2005
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..
More informationFINITE DIFFERENCE APPROACH TO WAVE GUIDE MODES COMPUTATION
FINITE DIFFERENCE ROCH TO WVE GUIDE MODES COMUTTION Ing.lessando Fani Elecomagneic Gou Deamen of Elecical and Eleconic Engineeing Univesiy of Cagliai iazza d mi, 93 Cagliai, Ialy SUMMRY Inoducion Finie
More informationLecture 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 informationTime-Space Model of Business Fluctuations
Time-Sace Moel of Business Flucuaions Aleei Kouglov*, Mahemaical Cene 9 Cown Hill Place, Suie 3, Eobicoke, Onaio M8Y 4C5, Canaa Email: Aleei.Kouglov@SiconVieo.com * This aicle eesens he esonal view of
More informationDividing 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 informationThe universal vector. Open Access Journal of Mathematical and Theoretical Physics [ ] Introduction [ ] ( 1)
Ope Access Joural of Mahemaical ad Theoreical Physics Mii Review The uiversal vecor Ope Access Absrac This paper akes Asroheology mahemaics ad pus some of i i erms of liear algebra. All of physics ca be
More informationMath 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 informationME 3210 Mechatronics II Laboratory Lab 6: Second-Order Dynamic Response
Iroucio ME 30 Mecharoics II Laboraory Lab 6: Seco-Orer Dyamic Respose Seco orer iffereial equaios approimae he yamic respose of may sysems. I his lab you will moel a alumium bar as a seco orer Mass-Sprig-Damper
More information2-d Motion: Constant Acceleration
-d Moion: Consan Acceleaion Kinemaic Equaions o Moion (eco Fom Acceleaion eco (consan eloci eco (uncion o Posiion eco (uncion o The eloci eco and posiion eco ae a uncion o he ime. eloci eco a ime. Posiion
More informationPhysics 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 informationPRICING AMERICAN PUT OPTION WITH DIVIDENDS ON VARIATIONAL INEQUALITY
Joual of Mahemaical cieces: Aaces a Applicaios olume 37 06 Pages 9-36 Aailable a hp://scieificaacescoi DOI: hp://oiog/0864/msaa_700609 PRICIG AMERICA PUT OPTIO ITH DIIDED O ARIATIOAL IEQUALITY XIAOFAG
More informationComparing Different Estimators for Parameters of Kumaraswamy Distribution
Compaig Diffee Esimaos fo Paamees of Kumaaswamy Disibuio ا.م.د نذير عباس ابراهيم الشمري جامعة النهرين/بغداد-العراق أ.م.د نشات جاسم محمد الجامعة التقنية الوسطى/بغداد- العراق Absac: This pape deals wih compaig
More information2 f(x) dx = 1, 0. 2f(x 1) dx d) 1 4t t6 t. t 2 dt i)
Mah PracTes Be sure o review Lab (ad all labs) There are los of good quesios o i a) Sae he Mea Value Theorem ad draw a graph ha illusraes b) Name a impora heorem where he Mea Value Theorem was used i he
More informationInstitute of Actuaries of India
Isiue of cuaries of Idia Subjec CT3-robabiliy ad Mahemaical Saisics May 008 Eamiaio INDICTIVE SOLUTION Iroducio The idicaive soluio has bee wrie by he Eamiers wih he aim of helig cadidaes. The soluios
More informationWORK POWER AND ENERGY Consevaive foce a) A foce is said o be consevaive if he wok done by i is independen of pah followed by he body b) Wok done by a consevaive foce fo a closed pah is zeo c) Wok done
More informationSupplementary Information
Supplemeay Ifomaio No-ivasive, asie deemiaio of he coe empeaue of a hea-geeaig solid body Dea Ahoy, Daipaya Saka, Aku Jai * Mechaical ad Aeospace Egieeig Depame Uivesiy of Texas a Aligo, Aligo, TX, USA.
More informationProjection of geometric models
ojecion of geomeic moels Copigh@, YZU Opimal Design Laboao. All ighs eseve. Las upae: Yeh-Liang Hsu (-9-). Noe: his is he couse maeial fo ME55 Geomeic moeling an compue gaphics, Yuan Ze Univesi. a of his
More informationThe Nehari Manifold for a Class of Elliptic Equations of P-laplacian Type. S. Khademloo and H. Mohammadnia. afrouzi
Wold Alied cieces Joal (8): 898-95 IN 88-495 IDOI Pblicaios = h x g x x = x N i W whee is a eal aamee is a boded domai wih smooh boday i R N 3 ad< < INTRODUCTION Whee s ha is s = I his ae we ove he exisece
More informationOn a problem of Graham By E. ERDŐS and E. SZEMERÉDI (Budapest) GRAHAM stated the following conjecture : Let p be a prime and a 1,..., ap p non-zero re
On a roblem of Graham By E. ERDŐS and E. SZEMERÉDI (Budaes) GRAHAM saed he following conjecure : Le be a rime and a 1,..., a non-zero residues (mod ). Assume ha if ' a i a i, ei=0 or 1 (no all e i=0) is
More informationLecture 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 informationLIPSCHITZ 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 informationReinforcement learning
Lecue 3 Reinfocemen leaning Milos Hauskech milos@cs.pi.edu 539 Senno Squae Reinfocemen leaning We wan o lean he conol policy: : X A We see examples of x (bu oupus a ae no given) Insead of a we ge a feedback
More information( ) c(d p ) = 0 c(d p ) < c(d p ) 0. H y(d p )
8.7 Gavimeic Seling in a Room Conside a oom of volume V, heigh, and hoizonal coss-secional aea A as shown in Figue 8.18, which illusaes boh models. c(d ) = 0 c(d ) < c(d ) 0 y(d ) (a) c(d ) = c(d ) 0 (b)
More informationLecture 5. Chapter 3. Electromagnetic Theory, Photons, and Light
Lecue 5 Chape 3 lecomagneic Theo, Phoons, and Ligh Gauss s Gauss s Faada s Ampèe- Mawell s + Loen foce: S C ds ds S C F dl dl q Mawell equaions d d qv A q A J ds ds In mae fields ae defined hough ineacion
More informationP a g e 5 1 of R e p o r t P B 4 / 0 9
P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e
More informationSection 8. Paraxial Raytracing
Secio 8 Paraxial aracig 8- OPTI-5 Opical Desig ad Isrmeaio I oprigh 7 Joh E. Greiveamp YNU arace efracio (or reflecio) occrs a a ierface bewee wo opical spaces. The rasfer disace ' allows he ra heigh '
More informationSolutions to selected problems from the midterm exam Math 222 Winter 2015
Soluios o seleced problems from he miderm eam Mah Wier 5. Derive he Maclauri series for he followig fucios. (cf. Pracice Problem 4 log( + (a L( d. Soluio: We have he Maclauri series log( + + 3 3 4 4 +...,
More informationRepresenting Knowledge. CS 188: Artificial Intelligence Fall Properties of BNs. Independence? Reachability (the Bayes Ball) Example
C 188: Aificial Inelligence Fall 2007 epesening Knowledge ecue 17: ayes Nes III 10/25/2007 an Klein UC ekeley Popeies of Ns Independence? ayes nes: pecify complex join disibuions using simple local condiional
More informationH 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 informationPhysics 201, Lecture 5
Phsics 1 Lecue 5 Tod s Topics n Moion in D (Chp 4.1-4.3): n D Kinemicl Quniies (sec. 4.1) n D Kinemics wih Consn Acceleion (sec. 4.) n D Pojecile (Sec 4.3) n Epeced fom Peiew: n Displcemen eloci cceleion
More informationA L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
More information2007 Spring VLSI Design Mid-term Exam 2:20-4:20pm, 2007/05/11
7 ri VLI esi Mid-erm xam :-4:m, 7/5/11 efieτ R, where R ad deoe he chael resisace ad he ae caaciace of a ui MO ( W / L μm 1μm ), resecively., he chael resisace of a ui PMO, is wo R P imes R. i.e., R R.
More informationRelative and Circular Motion
Relaie and Cicula Moion a) Relaie moion b) Cenipeal acceleaion Mechanics Lecue 3 Slide 1 Mechanics Lecue 3 Slide 2 Time on Video Pelecue Looks like mosly eeyone hee has iewed enie pelecue GOOD! Thank you
More informationPhysics 201 Lecture 15
Phscs 0 Lecue 5 l Goals Lecue 5 v Elo consevaon of oenu n D & D v Inouce oenu an Iulse Coens on oenu Consevaon l oe geneal han consevaon of echancal eneg l oenu Consevaon occus n sses wh no ne eenal foces
More informationCHATTERJEA 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 information700 STATEMENT OF ECONOMIC
R RM EME EM ERE H E H E HE E HE Y ERK HE Y P PRE MM 8 PUB UME ER PE Pee e k. ek, ME ER ( ) R) e -. ffe, ge, u ge e ( ue ) -- - k, B, e e,, f be Yu P eu RE) / k U -. f fg f ue, be he. ( ue ) ge: P:. Ju
More informationZero Level Binomial Theorem 04
Zeo Level Biomial Theoem 0 Usig biomial theoem, epad the epasios of the Fid the th tem fom the ed i the epasio of followig : (i ( (ii, 0 Fid the th tem fom the ed i the epasio of (iii ( (iv ( a (v ( (vi,
More informationOnline-routing on the butterfly network: probabilistic analysis
Online-outing on the buttefly netwok: obabilistic analysis Andey Gubichev 19.09.008 Contents 1 Intoduction: definitions 1 Aveage case behavio of the geedy algoithm 3.1 Bounds on congestion................................
More informationTopic 4a Introduction to Root Finding & Bracketing Methods
/8/18 Couse Instucto D. Raymond C. Rumpf Office: A 337 Phone: (915) 747 6958 E Mail: cumpf@utep.edu Topic 4a Intoduction to Root Finding & Backeting Methods EE 4386/531 Computational Methods in EE Outline
More informationExecutive 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 informationÖRNEK 1: THE LINEAR IMPULSE-MOMENTUM RELATION Calculate the linear momentum of a particle of mass m=10 kg which has a. kg m s
MÜHENDİSLİK MEKANİĞİ. HAFTA İMPULS- MMENTUM-ÇARPIŞMA Linea oenu of a paicle: The sybol L denoes he linea oenu and is defined as he ass ies he elociy of a paicle. L ÖRNEK : THE LINEAR IMPULSE-MMENTUM RELATIN
More informationProjection of geometric models
ojecion of geomeic moels Eie: Yeh-Liang Hsu (998-9-2); ecommene: Yeh-Liang Hsu (2-9-26); las upae: Yeh-Liang Hsu (29--3). Noe: This is he couse maeial fo ME55 Geomeic moeling an compue gaphics, Yuan Ze
More informationCIRCUITS AND ELECTRONICS. The Impedance Model
6.00 UTS AND EETONS The medance Mode e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh
More informationof Manchester The University COMP14112 Hidden Markov Models
COMP42 Lecure 8 Hidden Markov Model he Univeriy of Mancheer he Univeriy of Mancheer Hidden Markov Model a b2 0. 0. SAR 0.9 0.9 SOP b 0. a2 0. Imagine he and 2 are hidden o he daa roduced i a equence of
More informationCSE590B Lecture 4 More about P 1
SE590 Lece 4 Moe abo P 1 Tansfoming Tansfomaions James. linn Jimlinn.om h://coses.cs.washingon.ed/coses/cse590b/13a/ Peviosly On SE590b Tansfomaions M M w w w w w The ncion w w w w w w 0 w w 0 w 0 w The
More informationReinforcement 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 informationI 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 informationWave Motion Sections 1,2,4,5, I. Outlook II. What is wave? III.Kinematics & Examples IV. Equation of motion Wave equations V.
Secions 1,,4,5, I. Oulook II. Wha is wave? III.Kinemaics & Eamples IV. Equaion of moion Wave equaions V. Eamples Oulook Translaional and Roaional Moions wih Several phsics quaniies Energ (E) Momenum (p)
More informationPhysics 201 Lecture 18
Phsics 0 ectue 8 ectue 8 Goals: Define and anale toque ntoduce the coss poduct Relate otational dnamics to toque Discuss wok and wok eneg theoem with espect to otational motion Specif olling motion (cente
More informationECE 340 Lecture 15 and 16: Diffusion of Carriers Class Outline:
ECE 340 Lecure 5 ad 6: iffusio of Carriers Class Oulie: iffusio rocesses iffusio ad rif of Carriers Thigs you should kow whe you leave Key Quesios Why do carriers diffuse? Wha haes whe we add a elecric
More informationChapter 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 informationChapter 7. Interference
Chape 7 Inefeence Pa I Geneal Consideaions Pinciple of Supeposiion Pinciple of Supeposiion When wo o moe opical waves mee in he same locaion, hey follow supeposiion pinciple Mos opical sensos deec opical
More information6.2 Improving Our 3-D Graphics Pipeline
6.2. IMPROVING OUR 3-D GRAPHICS PIPELINE 8 6.2 Impovig Ou 3-D Gaphics Pipelie We iish ou basic 3D gaphics pipelie wih he implemeaio o pespecive. beoe we do his, we eview homogeeous coodiaes. 6.2. Homogeeous
More informationABSOLUTE INDEXED SUMMABILITY FACTOR OF AN INFINITE SERIES USING QUASI-F-POWER INCREASING SEQUENCES
Available olie a h://sciog Egieeig Maheaics Lees 2 (23) No 56-66 ISSN 249-9337 ABSLUE INDEED SUMMABILIY FACR F AN INFINIE SERIES USING QUASI-F-WER INCREASING SEQUENCES SKAIKRAY * RKJAI 2 UKMISRA 3 NCSAH
More information, on the power of the transmitter P t fed to it, and on the distance R between the antenna and the observation point as. r r t
Lecue 6: Fiis Tansmission Equaion and Rada Range Equaion (Fiis equaion. Maximum ange of a wieless link. Rada coss secion. Rada equaion. Maximum ange of a ada. 1. Fiis ansmission equaion Fiis ansmission
More informationAlgebra 2A. Algebra 2A- Unit 5
Algeba 2A Algeba 2A- Ui 5 ALGEBRA 2A Less: 5.1 Name: Dae: Plymial fis O b j e i! I a evalae plymial fis! I a ideify geeal shapes f gaphs f plymial fis Plymial Fi: ly e vaiable (x) V a b l a y a :, ze a
More informationAn Open cycle and Closed cycle Gas Turbine Engines. Methods to improve the performance of simple gas turbine plants
An Open cycle and losed cycle Gas ubine Engines Mehods o impove he pefomance of simple gas ubine plans I egeneaive Gas ubine ycle: he empeaue of he exhaus gases in a simple gas ubine is highe han he empeaue
More informationProbabilistic number theory : A report on work done. What is the probability that a randomly chosen integer has no square factors?
Pobabilistic numbe theoy : A eot on wo done What is the obability that a andomly chosen intege has no squae factos? We can constuct an initial fomula to give us this value as follows: If a numbe is to
More informationComputer Propagation Analysis Tools
Compue Popagaion Analysis Tools. Compue Popagaion Analysis Tools Inoducion By now you ae pobably geing he idea ha pedicing eceived signal sengh is a eally impoan as in he design of a wieless communicaion
More informationT h e C S E T I P r o j e c t
T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T
More informationSHINGLETON FOREST AREA Stand Level Information Compartment: 44 Entry Year: 2009
iz y U oy- kg g vg. To. i Ix Mg * "Compm Pk Gloy of Tm" oum lik o wb i fo fuh ipio o fiiio. Coiio ilv. Cii M? Mho Cu Tm. Pio v Pioiy Culul N 1 5 3 13 60 7 50 42 blk pu-wmp ol gowh N 20-29 y (poil o ul)
More informationK 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 informationIdeal Amplifier/Attenuator. Memoryless. where k is some real constant. Integrator. System with memory
Liear Time-Ivaria Sysems (LTI Sysems) Oulie Basic Sysem Properies Memoryless ad sysems wih memory (saic or dyamic) Causal ad o-causal sysems (Causaliy) Liear ad o-liear sysems (Lieariy) Sable ad o-sable
More informationOn The Estimation of Two Missing Values in Randomized Complete Block Designs
Mahemaical Theoy and Modeling ISSN 45804 (Pape ISSN 505 (Online Vol.6, No.7, 06 www.iise.og On The Esimaion of Two Missing Values in Randomized Complee Bloc Designs EFFANGA, EFFANGA OKON AND BASSE, E.
More informationChapter 3: Vectors and Two-Dimensional Motion
Chape 3: Vecos and Two-Dmensonal Moon Vecos: magnude and decon Negae o a eco: eese s decon Mulplng o ddng a eco b a scala Vecos n he same decon (eaed lke numbes) Geneal Veco Addon: Tangle mehod o addon
More informationCMSC 425: Lecture 5 More on Geometry and Geometric Programming
CMSC 425: Lectue 5 Moe on Geomety and Geometic Pogamming Moe Geometic Pogamming: In this lectue we continue the discussion of basic geometic ogamming fom the eious lectue. We will discuss coodinate systems
More informationxp (X = x) = P (X = 1) = θ. Hence, the method of moments estimator of θ is
Exercise 7 / page 356 Noe ha X i are ii from Beroulli(θ where 0 θ a Meho of momes: Sice here is oly oe parameer o be esimae we ee oly oe equaio where we equae he rs sample mome wih he rs populaio mome,
More informationFalls in the realm of a body force. Newton s law of gravitation is:
GRAVITATION Falls in the ealm of a body foce. Newton s law of avitation is: F GMm = Applies to '' masses M, (between thei centes) and m. is =. diectional distance between the two masses Let ˆ, thus F =
More informationECE 340 Lecture 19 : Steady State Carrier Injection Class Outline:
ECE 340 ecure 19 : Seady Sae Carrier Ijecio Class Oulie: iffusio ad Recombiaio Seady Sae Carrier Ijecio Thigs you should kow whe you leave Key Quesios Wha are he major mechaisms of recombiaio? How do we
More informationVector autoregression VAR. Case 1
Vecor auoregression VAR So far we have focused mosl on models where deends onl on as. More generall we migh wan o consider oin models ha involve more han one variable. There are wo reasons: Firs, we migh
More informationA PATRA CONFERINŢĂ A HIDROENERGETICIENILOR DIN ROMÂNIA,
A PATRA ONFERINŢĂ A HIDROENERGETIIENILOR DIN ROMÂNIA, Do Pael MODELLING OF SEDIMENTATION PROESS IN LONGITUDINAL HORIZONTAL TANK MODELAREA PROESELOR DE SEPARARE A FAZELOR ÎN DEANTOARE LONGITUDINALE Da ROBESU,
More informationTELEMATICS LINK LEADS
EEAICS I EADS UI CD PHOE VOICE AV PREIU I EADS REQ E E A + A + I A + I E B + E + I B + E + I B + E + H B + I D + UI CD PHOE VOICE AV PREIU I EADS REQ D + D + D + I C + C + C + C + I G G + I G + I G + H
More informationSecure Chaotic Spread Spectrum Systems
Seue Chaoi Sea Seum Sysems Ji Yu WSEAB ECE Deame Seves siue of Tehology Hoboke J 73 Oulie ouio Chaoi SS sigals Seuiy/ efomae ee eeives Biay oelaig eeio Mismah oblem aile-fileig base aoah Dual-aea aoah
More informationExercise 3 Stochastic Models of Manufacturing Systems 4T400, 6 May
Exercise 3 Sochasic Models of Maufacurig Sysems 4T4, 6 May. Each week a very popular loery i Adorra pris 4 ickes. Each ickes has wo 4-digi umbers o i, oe visible ad he oher covered. The umbers are radomly
More informationN! AND THE GAMMA FUNCTION
N! AND THE GAMMA FUNCTION Cosider he produc of he firs posiive iegers- 3 4 5 6 (-) =! Oe calls his produc he facorial ad has ha produc of he firs five iegers equals 5!=0. Direcly relaed o he discree! fucio
More informationDavid 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 informationAlgebra-based Physics II
lgebabased Physics II Chapte 19 Electic potential enegy & The Electic potential Why enegy is stoed in an electic field? How to descibe an field fom enegetic point of view? Class Website: Natual way of
More informationECE 145B / 218B, notes set 5: Two-port Noise Parameters
class oes, M. odwell, copyrihed 01 C 145B 18B, oes se 5: Two-por Noise Parameers Mark odwell Uiersiy of Califoria, aa Barbara rodwell@ece.ucsb.edu 805-893-344, 805-893-36 fax efereces ad Ciaios: class
More informationNon-Linear Dynamics Homework Solutions Week 2
Non-Linea Dynamics Homewok Solutions Week Chis Small Mach, 7 Please email me at smach9@evegeen.edu with any questions o concens eguading these solutions. Fo the ececises fom section., we sketch all qualitatively
More informationToday - 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