FAST EFFICIENT ALGORITHM FOR ENHANCEMENT OF LOW LIGHTING VIDEO. Xuan Dong, Guan Wang, Yi (Amy) Pang, Weixin Li, Jiangtao (Gene) Wen

Size: px
Start display at page:

Download "FAST EFFICIENT ALGORITHM FOR ENHANCEMENT OF LOW LIGHTING VIDEO. Xuan Dong, Guan Wang, Yi (Amy) Pang, Weixin Li, Jiangtao (Gene) Wen"

Transcription

1 FAST EFFICIENT ALGORITHM FOR ENHANCEMENT OF LOW LIGHTING VIDEO Xuan Dong, Guan Wang, Y (Amy) Pang, Wexn L, Jangao (Gene) Wen ABSTRACT We desrbe a novel and effeve vdeo enhanemen algorhm for low lghng vdeo. The algorhm works by frs nverng an npu low-lghng vdeo and hen applyng an opmzed mage de-haze algorhm on he nvered vdeo. To falae faser ompuaon, emporal orrelaons beween subsequen frames are ulzed o expede he alulaon of key algorhm parameers. Smulaon resuls show exellen enhanemen resuls and 4x speed up as ompared wh he frame-wse enhanemen algorhms. Index Terms low lghng vdeo enhanemen, dehazng 1. INTRODUCTION As vdeo ameras beome nreasngly wdely deployed, he problem of vdeo enhanemen for low lghng vdeo has also beome nreasngly aue. Ths s beause alhough amera and vdeo survellane sysems are expeed o work n all lghng and weaher ondons, he majory of hese ameras are no desgned for low-lghng, and herefore he resuled poor apure qualy ofen renders he vdeo unusable for ral applaons. Alhough nfrared ameras are apable of enhanng low-lgh vsbly n [1] and [2], hey suffer from he ommon dsadvanage ha vsble objes mus have a emperaure hgher han s surroundngs. In many ases where he ral obje has a emperaure smlar o s surroundngs, e.g. a bg hole n he road, nfrared ameras are no very useful. On he oher hand, onvenonal mage proessng and rado proessng ehnques suh as hsogram equalzaon may no work well eher n many ases, espeally for real me proessng of vdeo sequenes. In hs paper, we propose a novel, smple and effeve enhanemen algorhm for low lghng vdeo. We show ha afer nverng he low-lghng vdeo, he pxels n he sky and dsan bakground regons of he nvered vdeo always have hgh nenses n all olor (RGB) hannels bu hose of non-sky regons have low nenses n a leas one olor hannel, smlar o he ase of vdeo apured n hazy weaher ondons. Therefore, we apply sae-of-he-ar mage de-hazng algorhms o he nvered vdeo frames and show ha he ombnaon of nverng low-lghng vdeos and applyng de-hazng on hem s an effeve algorhm for enhanng low-lghng vdeos. To falae faser mplemenaon, we furher ulze emporal orrelaons beween subsequen vdeo frames for he esmaon of key algorhm parameers, resulng n 4x speed-ups as ompared wh he onvenonal frame-byframe approah. 2. ENHANCEMENT OF LOW LIGHTING VISION VIDEO We noe ha low lghng vdeo enhanemen has muh n ommon wh vdeo haze removal, beause afer nverng he npu low-lghng vdeos, he resuled vdeos look very muh lke vdeos aqured n hazy lghng ondons. Fgures 1 and 2 provded some examples of low lghng vdeos, nvered low lghng vdeos and vdeos aqured n hazy lghng ondons. As menoned n [3], n hazy ondons, he nenses of bakground pxels are always hgh n all olor hannels, bu he nenses of he man objes, e.g. houses, vehles and people are usually low n a leas one hannel beause of he olor, shadow and e.. To es wheher he nvered low lghng vdeo has he same propery, we ompue he mnmum nensy of all olor (RGB) hannels for eah pxel of he nvered vdeos/mages for 30 randomly seleed (by Google) low lghng ones, some of whh are shown n he op row of Fgure 2, as well as 30 random haze vdeos/mages as shown n he boom row of Fgure 2. Fgure 3 shows he hsogram of he mnmum nenses of all olor hannels of all pxels for he 30 nvered low lghng vdeos/mages and Fgure 3 s he same hsogram of he 30 haze vdeos/mages. Comparng Fgures 3 and 3, we fnd ha he wo hsograms exhb grea smlares, and ha more han 80% of pxels n boh he nvered and he haze ases have hgh nenses n all olor hannels (ermed hgh nensy pxels ), nludng almos all of he pxels n sky regons. As for he pxels of non-sky regons, he nenses are always lower n a leas one of he olor hannels (ermed normal nensy pxels ). In Fgure 1(), we mark he normal nensy pxels n green. A pxel s desgnaed as a normal nensy pxel f one of s hree olor hannels nenses s lower han 180. Clearly, mos of he marked pxels are n a non-sky regon or obje, e.g. vehles, sdewalks, lghs and e.

2 () (d) (e) Fg. 1. low lghng vdeo npu I. nvered resul R from npu I. () marked mage: pxels wh low nensy n a leas one olor (RGB) hannel are n green. (d) de-haze oupu J usng equaon (7). (e) fnal oupu E afer nverng mage J. Fg. 2. Top: low lghng examples. Mddle: nvered oupus of he Top ones. Boom: haze examples. Fg. 3. hsogram of all pxels olor hannels mnmum nenses of he 30 nvered low lghng vdeos/mages and he 30 haze vdeos/mages. The above sass srongly suppor our nuon ha he nvered low lghng vdeos are smlar o haze vdeos. Based on he above observaon, we propose a novel low lghng vdeo enhanemen algorhm by applyng he nver operaon on low lghng vdeo frames, and hen performng haze removal on he nvered vdeo frames, before performng he nver operaon agan o oban he oupu vdeo frames. Thus, for he npu low lghng vdeo frame I, we nver usng: R ( = 255 I ( x ), (1) where s he olor hannel (RGB). I ( s he nensy of a olor hannel of pxel x of he low lghng vdeo npu I. R ( s he same nensy of nvered mage R. The haze removal algorhm we use s based on [3], n whh a hazy mage s modeled as shown n (2): R( = J ( + A(1 ), (2) where A s he global amospher lgh. R( s he nensy of pxel x he amera ahes. J( s he nensy of he orgnal objes or sene. desrbes how muh peren of he lgh emed from he objes or sene reahes he amera. The model s also menoned n [4-7]. The ral par of all haze removal algorhms s o esmae A and from he reoded mage nensy I( so ha hey an reover he J( from I(. When he amosphere s homogenous, he an be expressed as: βd ( = e, (3) where β s he saerng oeffen of he amosphere, and d( s pxel x s sene deph. In he same mage, where he β s onsan, s deermned by d(, he dsane beween he obje and he amera. In [3] s esmaed usng: R ( y) = 1 ω mn ( mn ( )), (4) { r, g, b} y Ω ( A whereω s 0.8 n hs paper. Ω( s a loal blok enered a x and he blok sze s 9 n hs paper. We ulze hs algorhm o esmae n hs paper. To esmae he global amosphere lgh A, we frs sele 100 pxels whose mnmum nenses n all olor (RGB) hannels are he hghes n he mage, and hen among he pxels, we hoose he sngle pxel whose sum of RGB values s he hghes. The RGB values of hs pxel RGB values are used for A. Thus, aordng o he equaon (2), we an of ourse reover he J( as follows: R( A J ( = + A, (5) however, we fnd ha dre applaon of equaon (5) mgh lead o under-enhanemen for low-lghng areas. To furher opmze he alulaon of, we fous on enhanng he Regon of Ineress suh as houses, vehles and e. whle avod proessng bakground e.g. sky regons n low lghng vdeos. To adjus adapvely whle mananng s spaal onnuy, so ha he resuled vdeo

3 beomes smooher vsually, we nrodue a mulpler P( no (5), and hrough exensve expermens, we fnd ha P( an be se as: 2, 0 < < 0.5 P ( =, (6) 1, 0.5 < < 1 hen he reovery equaon beomes: R( A J ( = + A, (7) P( he dea behnd equaon (7) s he followng. When s smaller han 0.5, whh means ha he orrespondng pxel needs boosng, we assgn P( a small value o make P( even smaller so as o nrease he RGB nenses of hs pxel. On he oher hand, when s greaer han 0.5, we refran from overly boosng he orrespondng pxel nensy. For low-lghng vdeo, one J( s obaned, he nver operaon of (1) s performed agan o produe he enhaned mage E of he orgnal npu low lgh vdeo frame. Ths proess s onepually shown n Fgure ACCELERATION OF PROPOSED VIDEO ENHANCEMENT PROCESSING ALGORITHM 3.1. Aeleraon Usng Moon Esmaon (ME) In hs seon we propose an approah o aelerae he proessng of he algorhm n he prevous seon. In expermen, we fnd alulang oupes nearly 70% of he ompuaon, whh means he fous of aeleraon ehnque beomes aelerang he alulaon of. Our ehnque s based on he orrelaons beween emporally suessve frames. Sne s deded by he nenses of pxels of eah frame, he values of of o-loaed pxels should also by emporally orrelaed n emporally neghborng frames. In parular, f he values of are sored from he prevous frame, and f he pxels n he urren frame are deermned o be suffenly smlar o he o-loaed pxels n he prevous frame, he sored values ould be used as he for he orrespondng pxels n he urren frame, hereby by-passng he alulaon of a sgnfan poron of he values. To deermne f a pxel s suffenly smlar o s oloaed ouner par n he prevous frame, we use he same ehnque n he moon searh proess of vdeo odng. We frs dvde he npu frames no Groups of Pures (GOPs), wh eah GOP sarng usng an Inra oded frame (I frame), n whh all values are alulaed. In he remanng frames,.e. P frames, ME s performed. In deal, eah frame s dvded no non-overlappng 16x16 maro bloks (MBs), for whh a moon searh usng he dsoron reron Sum of Absolue Dfferenes (SAD) are ondued. If he SAD s below he predefned hreshold, he MB wll be enoded n ner-mode and he alulaon of for he enre MB s skpped by assgnng he bes mah MB s drely. Oherwse, he MB wll be enoded n nra-mode and sll needs o be alulaed. In boh ases, he values for he urren frame are sored for possble use n he nex frame. We ake wo ME algorhms n hs paper. Frs, we propose a smple ME mehod named Co ME whh only alulaes he dsoron value of he (0, 0) moon veor for he urren MB. If he SAD value s larger han a predefned hreshold T, he of he urren MB s alulaed. Oherwse, he alulaon s by-passed. The Co Me algorhm s easy o mplemen and os lle sorage spae. The oher ME mehod s EPZS ME algorhm proposed n [12], whh s more dfful o mplemen and oupes more sorage. However, performs beer han Co ME n oal speedup beause an provde more aurae ME nformaon o mah he referene frames hus o redue more alulaon of. In EPZS ME algorhm, he frssage SAD hreshold T s fxed and predefned. The followng hreshold hanges as follow: T k = ak mn( MSAD1, MSAD2,, MSADn ) + bk, (8) where a k and b k are fxed value. Based on he above algorhm, we defne he speed up rao as: O oher + g, (9) Speedup = = g 1 A ( k) + + oher p k = 1 s he me of enhanemen proessng exep oher alulang. g s he GOP sze. p (k) s he me of k h alulang for he frame n a GOP. s he me of alulang for he I frame n a GOP. p (k) vares beause of dfferen onen of P frames. To analyze he equaon of speedup more easly, we make wo assumpons. Usng he average me p of alulang for he frame n a GOP subsues for p (k). Comparng he me of alulang, we gnore oher. (8) hen beomes: k h

4 Speedup Where = = p =. g + g For he same vdeo sequene where p 2, (10) g + s ons and s affeed by he SAD hreshold, frame onen and GOP sze, speedup s an nverse proporon funon of g. We run he proposed aeleraon algorhm for he same vdeo sequene wh dfferen GOP szes, and he resul s shown n Fgure 4. The nverse proporon funon fng urve mahes he expermenal resuls very well. Moreover, equaon (9) explans how he speedup hanges wh dfferen GOP szes and ondus us o se he approprae GOP sze for a needed speedup and qualy of he enhaned vdeo. In addon, our expermen shows afer adopng he above algorhm he ompuaonal me of dwndles a lo whle he ME me oupes muh of he whole proessng me. Thus, n nex subseon, we propose a fas SAD algorhm o aelerae ME. Fg. 4. Speedup of proposed fas enhanemen algorhm Aeleraon Usng Fas SAD Algorhm Expermenal resuls demonsrae he alulaon of SAD akes 60 peren of he whole ME me,.e. 40 peren of ompuaon os of he whole low lghng enhanemen algorhm. Thus, s desred for us o propose a fas SAD algorhm. Some exsng fas SAD algorhms are based on advaned hardware e.g. GPU. However, as dsussed n [8, 9, 10], n BBME, all he dsoron rerons nludng SAD are based on he nheren assumpon ha moon felds of vdeo sequenes are usually smooh and slowly varyng and eah MB onans only one rgd body and radonal moon. In mos ases where he assumpon s orre, he onvenonal dsoron reron seems heavy and unneessary. Moreover, n some oher ases, wll no be he rue moon veor when he SAD ges s mnmum f here s more han one rgd body or he moon s unradonal. In hese ases, he more pxels are sampled p he greaer error he SAD algorhm wll probably lead o. However, f we adop sub-samplng mehod n our fas SAD algorhm, no only he unneessary ompuaon n mos ases an be redued bu also he poor performane of BBME n omplex moon ondons an be mproved. Alhough he fewer samples wll redue he horzonal and veral soluon and have an effe on he auray, he error urns ou o be slgh and aepable n our algorhm f users do no have sr requremen of vdeo qualy bu need he algorhm as fas as possble. () Fg. 5. Fxed subsamplng paerns of fas SAD algorhm sandard 4:1 paern. Three-Coeffen paern. () proposed paern n hs paper There are many subsamplng paerns proposed e.g. he adapve pxel demaon n [9], he sandard 4:1 paern n [10], and e.. In expermens, we fnd fxed pxel subsamplng paern s smple and an gan he bes speedup n our algorhm. Some exsng fxed paerns are he sandard 4:1 paern n [10] shown n Fgure 5, and he Three- Coeffen paern n [11] shown n Fgure 5. We noe n hose nferor enhaned MBs, he drawbak pxels are always he edge pxels hus an unbalaned subsamplng paern fousng more on edge pxels suh as he one shown n Fgure 5 s more desrable. To make he subsamplng paern symmeral, we propose an nnovave paern shown n Fgure 5(). The sample we ake are he dagonal pxels and he edge pxels. The oal number s 60 pxels for MB. Expermen resuls show our algorhm performs as fas as he 4:1 paern whle he effes are no heavly affeed. Moreover, n omparson wh he exhausve pxel-wse SAD mehod, he proposed fas SAD mehod even gans beer enhanemen qualy wh only 20 peren of he ompuaon. 4. EXPERIMENTAL RESULTS In our expermens, we use Wndows PC wh he Inel Core 2 Duo proessor (2.0GHz) wh 3G of RAM. The vdeos resoluon s Examples of he enhanemen resuls of he proposed algorhm n Seon 2 are shown n Fgures 6, 7 and 8. The orgnal low lghng vdeo npus.e. Fgure 6, 7 and 8 exhb very lle sene nformaon due o he low llumnaon level. The enhaned resuls are shown n Fgure

5 6, 7 and 8 and he red arrows pon o areas wh noable enhanemen. In Fgure 6, he mprovemen n vsbly s obvous, nludng four vehles n he bakground and he lense plae of he vehle n he foreground. More enhanemen resuls are shown n Fgure 7 and 8. In addon, we perform he vdeo enhanemen algorhm usng boh he Co ME and he EPZS ME wh dfferen GOP sze, SAD hreshold parameers, a k and b k. In omparson wh he resul of he frame-wse enhanemen algorhm n whh all values of eah frame are alulaed, he speedup resuls are shown n Fgure 10, and he orrespondng PSNR resuls are shown n Fgure 11 (GOP sze s 10) and 11 (GOP sze s 30). From Fgure 11 we an fnd he PSNR of he EPZS ME wh T=1000, a k =0.8 and b k =40 s even hgher han he PSNR of Co ME wh T=500 n he same GOP sze. Meanwhle, as shown n Fgure 10, he speedup of EPZS ME s muh hgher han ha of Co ME oo. Ths demonsraes ha he EPZS ME helps fnd more aurae referene MBs, resulng n muh more of he alulaon of bypassed, alhough he EPZS ME akes more ompuaon oss han he Co ME. On he oher hand, we perform he vdeo enhanemen algorhm usng he Co and EPZS ME wh he fas SAD algorhm. The speedup resuls are shown n Fgure 10. The orrespondng PSNR resuls are shown n Fgure 12 (GOP sze s 10) and 12 (GOP sze s 30). From Fgure 6, we an learn he fas SAD algorhm enhanes he speedup furher for boh ME algorhms. Meanwhle, he Fgure 8 shows he PSNR of EPZS ME usng fas SAD algorhm s even enhaned somemes. To sum up, he fas SAD algorhm benefs he EPZS ME n boh speedup and vdeo qualy hus resuls n our low lghng vdeo enhanemen algorhm faser and hgher qualy. Examples of he resuls of he aeleraon algorhm are shown n Fgure 9. Fgure 9 s he 16 h frame of he npu vdeo sequene, Fgure 9 and 9() are he enhaned resuls of he same frame usng our aeleraon algorhm wh GOP sze 1, orrespondng o proessng eah frame ndependenly, and GOP sze 16. Alhough hs s he las frame of he group wh he GOP sze 16, he oupu of our algorhm wh GOP sze 16 n Fgure 9(), as ompared wh Fgure 9 n whh every frame s proessed ndependenly effevely, gans 4x speedups whou vsble nformaon loss. Fg. 6. Inpu low lgh mage 1. Enhaned mage 1 usng proposed low lghng enhanemen algorhm. Fg. 7 Inpu low lgh mage 2. Enhaned mage 2 usng proposed low lghng enhanemen algorhm. Fg. 8. Inpu low lgh mage 3. Enhaned mage 3 usng proposed low lghng enhanemen algorhm. () Fg. 9. The 16h frame of he npu vdeo sequene. Enhaned frame of wh GOP sze 1. () Enhaned frame of wh GOP sze 16.

6 Fg. 10. Speedup of proposed fas enhanemen algorhm usng Co ME and EPZS ME. Co ME and EPZS ME wh fas SAD algorhm. Fg. 11. PSNR of proposed low lghng enhanemen algorhm usng Co ME and EPZS ME. GOP sze s 10. GOP sze s 30. Fg. 12. PSNR of proposed low lghng enhanemen algorhm usng Co ME and EPZS ME wh fas SAD algorhm. GOP sze s 10. GOP sze s CONCLUSIONS AND FUTURE WORK In he paper, we desrbed a novel, effen and effen vdeo enhanemen algorhm for low lghng vdeo. The algorhm frs nvers he npu low lghng vdeo and hen apples de-hazng algorhms on he nvered vdeo before nverng he de-hazed mages agan o produe he oupu enhaned low-lghng vdeo. 4x speedups s aheved wh no vsble loss of ral nformaon by dvdng he npu sequene no GOPs and performng ME for P frames. Areas of furher mprovemen nlude faser deermnaon of unhanged MBs and mprovemens n he de-haze algorhm. Vson Drvers by Nonlnear Enhanemen of Fused Vsble and Infrared Vdeo, n Pro. IEEE Conf. Compuer Vson and Paern Reognon., San Dego, CA, Jun. 2005, pp.25. [2] Ngh Drver, Makng Drvng Safer a Ngh Rayheon Company, avalable a: hp:// [3] K. He, J. Sun, and X. Tang. Sngle Image Haze Removal Usng Dark Channel Pror, n Pro. IEEE Conf. Compuer Vson and Paern Reognon., Mam, FL, Jun. 2009, pp [4] R. Faal. Sngle Image Dehazng, n ACM SIGGRAPH 08, Los Angeles, CA, Aug. 2008, pp [5] S. G. Narasmhan, and S. K. Nayar. Chroma Framework for Vson n Bad Weaher, n Pro. IEEE Conf. Compuer Vson and Paern Reognon., Hlon Head, SC, Jun. 2000, vol. 1, pp [6] S. G. Narasmhan and S. K. Nayar. Vson and he Amosphere, n In. Journal Compuer Vson, vol. 48, no. 3, pp , [7] R. Tan. Vsbly n Bad Weaher from A Sngle Image, n Pro. IEEE Conf. Compuer Vson and Paern Reognon., Anhorage, Alaska, Jun. 2008, pp. 1-8 [8] A. Zaarn and B. Lu. Fas Algorhms for Blok Moon Esmaon, n Pro. IEEE In. Conf. Aouss, Speeh and Sgnal Proessng, San Franso, CA, 1992, pp [9] Y. L. Chan and W. C. Su. New Adapve Pxel Demaon for Blok Moon Veor Esmaon, n IEEE Trans. Crus Sys. Vdeo Tehnol., vol. 6, pp , [10] T. Koga, K. Inuma, A. Hrano, Y. Ijma, and T. Ishguro. Moon Compensaed Inerframe Codng for Vdeo Conferenng, n Pro. Nu. Teleommun. Conf., New Orleans, LA, Nov. 1981, pp. G G [11] B. Grod, and K. W. Suhlm uller. A Conen- Dependen Fas DCT for Low B-Rae Vdeo Codng, n Pro. IEEE In. Conf. Image Proess., Chago, Illnos, O. 1998, vol. 3, pp [12] A. M. Touraps. Enhaned Predve Zonal Searh for Sngle and Mulple Frame Moon Esmaon, n Pro. Vsual Communaons and Image Proessng., San Jose, CA, Jan. 2002, pp REFERENCES [1] H. Ngo, L. Tao, M. Zhang, A. Lvngson, and V. Asar. A Vsbly Improvemen Sysem for Low

Pendulum Dynamics. = Ft tangential direction (2) radial direction (1)

Pendulum Dynamics. = Ft tangential direction (2) radial direction (1) Pendulum Dynams Consder a smple pendulum wh a massless arm of lengh L and a pon mass, m, a he end of he arm. Assumng ha he fron n he sysem s proporonal o he negave of he angenal veloy, Newon s seond law

More information

Computational results on new staff scheduling benchmark instances

Computational results on new staff scheduling benchmark instances TECHNICAL REPORT Compuaonal resuls on new saff shedulng enhmark nsanes Tm Curos Rong Qu ASAP Researh Group Shool of Compuer Sene Unersy of Nongham NG8 1BB Nongham UK Frs pulshed onlne: 19-Sep-2014 las

More information

In the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL. (! i+1 -! i ) + [(!") i+1,q - [(!

In the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL. (! i+1 -! i ) + [(!) i+1,q - [(! ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL The frs hng o es n wo-way ANOVA: Is here neracon? "No neracon" means: The man effecs model would f. Ths n urn means: In he neracon plo (wh A on he horzonal

More information

COMPUTER SCIENCE 349A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PARTS 1, 2

COMPUTER SCIENCE 349A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PARTS 1, 2 COMPUTE SCIENCE 49A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PATS, PAT.. a Dene he erm ll-ondoned problem. b Gve an eample o a polynomal ha has ll-ondoned zeros.. Consder evaluaon o anh, where e e anh. e e

More information

Methods of Improving Constitutive Equations

Methods of Improving Constitutive Equations Mehods o mprovng Consuve Equaons Maxell Model e an mprove h ne me dervaves or ne sran measures. ³ ª º «e, d» ¼ e an also hange he bas equaon lnear modaons non-lnear modaons her Consuve Approahes Smple

More information

Lecture Notes 4: Consumption 1

Lecture Notes 4: Consumption 1 Leure Noes 4: Consumpon Zhwe Xu (xuzhwe@sju.edu.n) hs noe dsusses households onsumpon hoe. In he nex leure, we wll dsuss rm s nvesmen deson. I s safe o say ha any propagaon mehansm of maroeonom model s

More information

Variants of Pegasos. December 11, 2009

Variants of Pegasos. December 11, 2009 Inroducon Varans of Pegasos SooWoong Ryu bshboy@sanford.edu December, 009 Youngsoo Cho yc344@sanford.edu Developng a new SVM algorhm s ongong research opc. Among many exng SVM algorhms, we wll focus on

More information

Example: MOSFET Amplifier Distortion

Example: MOSFET Amplifier Distortion 4/25/2011 Example MSFET Amplfer Dsoron 1/9 Example: MSFET Amplfer Dsoron Recall hs crcu from a prevous handou: ( ) = I ( ) D D d 15.0 V RD = 5K v ( ) = V v ( ) D o v( ) - K = 2 0.25 ma/v V = 2.0 V 40V.

More information

ECON 8105 FALL 2017 ANSWERS TO MIDTERM EXAMINATION

ECON 8105 FALL 2017 ANSWERS TO MIDTERM EXAMINATION MACROECONOMIC THEORY T. J. KEHOE ECON 85 FALL 7 ANSWERS TO MIDTERM EXAMINATION. (a) Wh an Arrow-Debreu markes sruure fuures markes for goods are open n perod. Consumers rade fuures onras among hemselves.

More information

Development of a New Optimal Multilevel Thresholding Using Improved Particle Swarm Optimization Algorithm for Image Segmentation

Development of a New Optimal Multilevel Thresholding Using Improved Particle Swarm Optimization Algorithm for Image Segmentation Inernaonal Journal of Elerons Engneerng, (1), 010, pp. 63-67 Developmen of a New Opmal Mullevel Thresholdng Usng Improved Parle Swarm Opmzaon Algorhm for Image Segmenaon P.D. Sahya 1 & R. Kayalvzh 1 Deparmen

More information

FTCS Solution to the Heat Equation

FTCS Solution to the Heat Equation FTCS Soluon o he Hea Equaon ME 448/548 Noes Gerald Reckenwald Porland Sae Unversy Deparmen of Mechancal Engneerng gerry@pdxedu ME 448/548: FTCS Soluon o he Hea Equaon Overvew Use he forward fne d erence

More information

Electromagnetic waves in vacuum.

Electromagnetic waves in vacuum. leromagne waves n vauum. The dsovery of dsplaemen urrens enals a peular lass of soluons of Maxwell equaons: ravellng waves of eler and magne felds n vauum. In he absene of urrens and harges, he equaons

More information

2/20/2013. EE 101 Midterm 2 Review

2/20/2013. EE 101 Midterm 2 Review //3 EE Mderm eew //3 Volage-mplfer Model The npu ressance s he equalen ressance see when lookng no he npu ermnals of he amplfer. o s he oupu ressance. I causes he oupu olage o decrease as he load ressance

More information

CS434a/541a: Pattern Recognition Prof. Olga Veksler. Lecture 4

CS434a/541a: Pattern Recognition Prof. Olga Veksler. Lecture 4 CS434a/54a: Paern Recognon Prof. Olga Veksler Lecure 4 Oulne Normal Random Varable Properes Dscrmnan funcons Why Normal Random Varables? Analycally racable Works well when observaon comes form a corruped

More information

Cubic Bezier Homotopy Function for Solving Exponential Equations

Cubic Bezier Homotopy Function for Solving Exponential Equations Penerb Journal of Advanced Research n Compung and Applcaons ISSN (onlne: 46-97 Vol. 4, No.. Pages -8, 6 omoopy Funcon for Solvng Eponenal Equaons S. S. Raml *,,. Mohamad Nor,a, N. S. Saharzan,b and M.

More information

Linear Response Theory: The connection between QFT and experiments

Linear Response Theory: The connection between QFT and experiments Phys540.nb 39 3 Lnear Response Theory: The connecon beween QFT and expermens 3.1. Basc conceps and deas Q: ow do we measure he conducvy of a meal? A: we frs nroduce a weak elecrc feld E, and hen measure

More information

Comb Filters. Comb Filters

Comb Filters. Comb Filters The smple flers dscussed so far are characered eher by a sngle passband and/or a sngle sopband There are applcaons where flers wh mulple passbands and sopbands are requred Thecomb fler s an example of

More information

Mechanics Physics 151

Mechanics Physics 151 Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm H ( q, p, ) = q p L( q, q, ) H p = q H q = p H = L Equvalen o Lagrangan formalsm Smpler, bu

More information

New Mexico Tech Hyd 510

New Mexico Tech Hyd 510 New Meo eh Hy 5 Hyrology Program Quanave Mehos n Hyrology Noe ha for he sep hange problem,.5, for >. he sep smears over me an, unlke he ffuson problem, he onenraon a he orgn hanges. I s no a bounary onon.

More information

TSS = SST + SSE An orthogonal partition of the total SS

TSS = SST + SSE An orthogonal partition of the total SS ANOVA: Topc 4. Orhogonal conrass [ST&D p. 183] H 0 : µ 1 = µ =... = µ H 1 : The mean of a leas one reamen group s dfferen To es hs hypohess, a basc ANOVA allocaes he varaon among reamen means (SST) equally

More information

Solution in semi infinite diffusion couples (error function analysis)

Solution in semi infinite diffusion couples (error function analysis) Soluon n sem nfne dffuson couples (error funcon analyss) Le us consder now he sem nfne dffuson couple of wo blocks wh concenraon of and I means ha, n a A- bnary sysem, s bondng beween wo blocks made of

More information

Mechanics Physics 151

Mechanics Physics 151 Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm Hqp (,,) = qp Lqq (,,) H p = q H q = p H L = Equvalen o Lagrangan formalsm Smpler, bu wce as

More information

Dynamic Team Decision Theory. EECS 558 Project Shrutivandana Sharma and David Shuman December 10, 2005

Dynamic Team Decision Theory. EECS 558 Project Shrutivandana Sharma and David Shuman December 10, 2005 Dynamc Team Decson Theory EECS 558 Proec Shruvandana Sharma and Davd Shuman December 0, 005 Oulne Inroducon o Team Decson Theory Decomposon of he Dynamc Team Decson Problem Equvalence of Sac and Dynamc

More information

12d Model. Civil and Surveying Software. Drainage Analysis Module Detention/Retention Basins. Owen Thornton BE (Mech), 12d Model Programmer

12d Model. Civil and Surveying Software. Drainage Analysis Module Detention/Retention Basins. Owen Thornton BE (Mech), 12d Model Programmer d Model Cvl and Surveyng Soware Dranage Analyss Module Deenon/Reenon Basns Owen Thornon BE (Mech), d Model Programmer owen.hornon@d.com 4 January 007 Revsed: 04 Aprl 007 9 February 008 (8Cp) Ths documen

More information

Linear Quadratic Regulator (LQR) - State Feedback Design

Linear Quadratic Regulator (LQR) - State Feedback Design Linear Quadrai Regulaor (LQR) - Sae Feedbak Design A sysem is expressed in sae variable form as x = Ax + Bu n m wih x( ) R, u( ) R and he iniial ondiion x() = x A he sabilizaion problem using sae variable

More information

( ) () we define the interaction representation by the unitary transformation () = ()

( ) () we define the interaction representation by the unitary transformation () = () Hgher Order Perurbaon Theory Mchael Fowler 3/7/6 The neracon Represenaon Recall ha n he frs par of hs course sequence, we dscussed he chrödnger and Hesenberg represenaons of quanum mechancs here n he chrödnger

More information

The Maxwell equations as a Bäcklund transformation

The Maxwell equations as a Bäcklund transformation ADVANCED ELECTROMAGNETICS, VOL. 4, NO. 1, JULY 15 The Mawell equaons as a Bäklund ransformaon C. J. Papahrsou Deparmen of Physal Senes, Naval Aademy of Greee, Praeus, Greee papahrsou@snd.edu.gr Absra Bäklund

More information

Clustering (Bishop ch 9)

Clustering (Bishop ch 9) Cluserng (Bshop ch 9) Reference: Daa Mnng by Margare Dunham (a slde source) 1 Cluserng Cluserng s unsupervsed learnng, here are no class labels Wan o fnd groups of smlar nsances Ofen use a dsance measure

More information

CHAPTER 10: LINEAR DISCRIMINATION

CHAPTER 10: LINEAR DISCRIMINATION CHAPER : LINEAR DISCRIMINAION Dscrmnan-based Classfcaon 3 In classfcaon h K classes (C,C,, C k ) We defned dscrmnan funcon g j (), j=,,,k hen gven an es eample, e chose (predced) s class label as C f g

More information

Journal of Chemical and Pharmaceutical Research, 2014, 6(5): Research Article

Journal of Chemical and Pharmaceutical Research, 2014, 6(5): Research Article Avalable onlne.jopr.om Journal o Chemal Pharmaeual Researh, 014, 6(5:44-48 Researh Arle ISS : 0975-7384 CODE(USA : JCPRC5 Perormane evaluaon or engneerng proje managemen o parle sarm opmzaon based on leas

More information

Robust and Accurate Cancer Classification with Gene Expression Profiling

Robust and Accurate Cancer Classification with Gene Expression Profiling Robus and Accurae Cancer Classfcaon wh Gene Expresson Proflng (Compuaonal ysems Bology, 2005) Auhor: Hafeng L, Keshu Zhang, ao Jang Oulne Background LDA (lnear dscrmnan analyss) and small sample sze problem

More information

Solution. The straightforward approach is surprisingly difficult because one has to be careful about the limits.

Solution. The straightforward approach is surprisingly difficult because one has to be careful about the limits. ose ad Varably Homewor # (8), aswers Q: Power spera of some smple oses A Posso ose A Posso ose () s a sequee of dela-fuo pulses, eah ourrg depedely, a some rae r (More formally, s a sum of pulses of wdh

More information

[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5

[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5 TPG460 Reservor Smulaon 08 page of 5 DISCRETIZATIO OF THE FOW EQUATIOS As we already have seen, fne dfference appromaons of he paral dervaves appearng n he flow equaons may be obaned from Taylor seres

More information

Problem Set 3 EC2450A. Fall ) Write the maximization problem of the individual under this tax system and derive the first-order conditions.

Problem Set 3 EC2450A. Fall ) Write the maximization problem of the individual under this tax system and derive the first-order conditions. Problem Se 3 EC450A Fall 06 Problem There are wo ypes of ndvduals, =, wh dfferen ables w. Le be ype s onsumpon, l be hs hours worked and nome y = w l. Uly s nreasng n onsumpon and dereasng n hours worked.

More information

Block 5 Transport of solutes in rivers

Block 5 Transport of solutes in rivers Nmeral Hydrals Blok 5 Transpor of soles n rvers Marks Holzner Conens of he orse Blok 1 The eqaons Blok Compaon of pressre srges Blok 3 Open hannel flow flow n rvers Blok 4 Nmeral solon of open hannel flow

More information

Sequential Unit Root Test

Sequential Unit Root Test Sequenal Un Roo es Naga, K, K Hom and Y Nshyama 3 Deparmen of Eonoms, Yokohama Naonal Unversy, Japan Deparmen of Engneerng, Kyoo Insue of ehnology, Japan 3 Insue of Eonom Researh, Kyoo Unversy, Japan Emal:

More information

Appendix H: Rarefaction and extrapolation of Hill numbers for incidence data

Appendix H: Rarefaction and extrapolation of Hill numbers for incidence data Anne Chao Ncholas J Goell C seh lzabeh L ander K Ma Rober K Colwell and Aaron M llson 03 Rarefacon and erapolaon wh ll numbers: a framewor for samplng and esmaon n speces dversy sudes cology Monographs

More information

Lecture VI Regression

Lecture VI Regression Lecure VI Regresson (Lnear Mehods for Regresson) Conens: Lnear Mehods for Regresson Leas Squares, Gauss Markov heorem Recursve Leas Squares Lecure VI: MLSC - Dr. Sehu Vjayakumar Lnear Regresson Model M

More information

Advanced time-series analysis (University of Lund, Economic History Department)

Advanced time-series analysis (University of Lund, Economic History Department) Advanced me-seres analss (Unvers of Lund, Economc Hsor Dearmen) 3 Jan-3 Februar and 6-3 March Lecure 4 Economerc echnues for saonar seres : Unvarae sochasc models wh Box- Jenns mehodolog, smle forecasng

More information

THE PREDICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS

THE PREDICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS THE PREICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS INTROUCTION The wo dmensonal paral dfferenal equaons of second order can be used for he smulaon of compeve envronmen n busness The arcle presens he

More information

Lecture 6: Learning for Control (Generalised Linear Regression)

Lecture 6: Learning for Control (Generalised Linear Regression) Lecure 6: Learnng for Conrol (Generalsed Lnear Regresson) Conens: Lnear Mehods for Regresson Leas Squares, Gauss Markov heorem Recursve Leas Squares Lecure 6: RLSC - Prof. Sehu Vjayakumar Lnear Regresson

More information

Ordinary Differential Equations in Neuroscience with Matlab examples. Aim 1- Gain understanding of how to set up and solve ODE s

Ordinary Differential Equations in Neuroscience with Matlab examples. Aim 1- Gain understanding of how to set up and solve ODE s Ordnary Dfferenal Equaons n Neuroscence wh Malab eamples. Am - Gan undersandng of how o se up and solve ODE s Am Undersand how o se up an solve a smple eample of he Hebb rule n D Our goal a end of class

More information

Bayes rule for a classification problem INF Discriminant functions for the normal density. Euclidean distance. Mahalanobis distance

Bayes rule for a classification problem INF Discriminant functions for the normal density. Euclidean distance. Mahalanobis distance INF 43 3.. Repeon Anne Solberg (anne@f.uo.no Bayes rule for a classfcaon problem Suppose we have J, =,...J classes. s he class label for a pxel, and x s he observed feaure vecor. We can use Bayes rule

More information

J i-1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes.

J i-1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes. umercal negraon of he dffuson equaon (I) Fne dfference mehod. Spaal screaon. Inernal nodes. R L V For hermal conducon le s dscree he spaal doman no small fne spans, =,,: Balance of parcles for an nernal

More information

V.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS

V.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS R&RATA # Vol.) 8, March FURTHER AALYSIS OF COFIDECE ITERVALS FOR LARGE CLIET/SERVER COMPUTER ETWORKS Vyacheslav Abramov School of Mahemacal Scences, Monash Unversy, Buldng 8, Level 4, Clayon Campus, Wellngon

More information

CS286.2 Lecture 14: Quantum de Finetti Theorems II

CS286.2 Lecture 14: Quantum de Finetti Theorems II CS286.2 Lecure 14: Quanum de Fne Theorems II Scrbe: Mara Okounkova 1 Saemen of he heorem Recall he las saemen of he quanum de Fne heorem from he prevous lecure. Theorem 1 Quanum de Fne). Le ρ Dens C 2

More information

Transcription: Messenger RNA, mrna, is produced and transported to Ribosomes

Transcription: Messenger RNA, mrna, is produced and transported to Ribosomes Quanave Cenral Dogma I Reference hp//book.bonumbers.org Inaon ranscrpon RNA polymerase and ranscrpon Facor (F) s bnds o promoer regon of DNA ranscrpon Meenger RNA, mrna, s produced and ranspored o Rbosomes

More information

UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 2017 EXAMINATION

UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 2017 EXAMINATION INTERNATIONAL TRADE T. J. KEHOE UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 27 EXAMINATION Please answer wo of he hree quesons. You can consul class noes, workng papers, and arcles whle you are workng on he

More information

HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD

HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Journal of Appled Mahemacs and Compuaonal Mechancs 3, (), 45-5 HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Sansław Kukla, Urszula Sedlecka Insue of Mahemacs,

More information

How about the more general "linear" scalar functions of scalars (i.e., a 1st degree polynomial of the following form with a constant term )?

How about the more general linear scalar functions of scalars (i.e., a 1st degree polynomial of the following form with a constant term )? lmcd Lnear ransformaon of a vecor he deas presened here are que general hey go beyond he radonal mar-vecor ype seen n lnear algebra Furhermore, hey do no deal wh bass and are equally vald for any se of

More information

The Special Theory of Relativity Chapter II

The Special Theory of Relativity Chapter II The Speial Theory of Relaiiy Chaper II 1. Relaiisi Kinemais. Time dilaion and spae rael 3. Lengh onraion 4. Lorenz ransformaions 5. Paradoes? Simulaneiy/Relaiiy If one obserer sees he eens as simulaneous,

More information

Including the ordinary differential of distance with time as velocity makes a system of ordinary differential equations.

Including the ordinary differential of distance with time as velocity makes a system of ordinary differential equations. Soluons o Ordnary Derenal Equaons An ordnary derenal equaon has only one ndependen varable. A sysem o ordnary derenal equaons consss o several derenal equaons each wh he same ndependen varable. An eample

More information

Graduate Macroeconomics 2 Problem set 5. - Solutions

Graduate Macroeconomics 2 Problem set 5. - Solutions Graduae Macroeconomcs 2 Problem se. - Soluons Queson 1 To answer hs queson we need he frms frs order condons and he equaon ha deermnes he number of frms n equlbrum. The frms frs order condons are: F K

More information

Advanced Machine Learning & Perception

Advanced Machine Learning & Perception Advanced Machne Learnng & Percepon Insrucor: Tony Jebara SVM Feaure & Kernel Selecon SVM Eensons Feaure Selecon (Flerng and Wrappng) SVM Feaure Selecon SVM Kernel Selecon SVM Eensons Classfcaon Feaure/Kernel

More information

by Lauren DeDieu Advisor: George Chen

by Lauren DeDieu Advisor: George Chen b Laren DeDe Advsor: George Chen Are one of he mos powerfl mehods o nmercall solve me dependen paral dfferenal eqaons PDE wh some knd of snglar shock waves & blow-p problems. Fed nmber of mesh pons Moves

More information

Natural Neighbour Coordinates on Irregular Staggered Grids

Natural Neighbour Coordinates on Irregular Staggered Grids Insu für Informak belung Smulaon großer Sseme Unversä Sugar Unversässraße 38 D 70569 Sugar Sudenarbe Nr. 967 Naural Neghbour Coordnaes on Irregular Saggered Grds men Trgu Sudengang: Informak Prüfer: Bereuer:

More information

Block 4 Numerical solution of open channel flow

Block 4 Numerical solution of open channel flow Numeral Hydrauls Blok 4 Numeral soluon o open hannel low Markus Holzner 1 onens o he ourse Blok 1 The equaons Blok 2 ompuaon o pressure surges Blok 3 Open hannel low (low n rers) Blok 4 Numeral soluon

More information

Department of Economics University of Toronto

Department of Economics University of Toronto Deparmen of Economcs Unversy of Torono ECO408F M.A. Economercs Lecure Noes on Heeroskedascy Heeroskedascy o Ths lecure nvolves lookng a modfcaons we need o make o deal wh he regresson model when some of

More information

Lecture 18: The Laplace Transform (See Sections and 14.7 in Boas)

Lecture 18: The Laplace Transform (See Sections and 14.7 in Boas) Lecure 8: The Lalace Transform (See Secons 88- and 47 n Boas) Recall ha our bg-cure goal s he analyss of he dfferenal equaon, ax bx cx F, where we emloy varous exansons for he drvng funcon F deendng on

More information

Econ107 Applied Econometrics Topic 5: Specification: Choosing Independent Variables (Studenmund, Chapter 6)

Econ107 Applied Econometrics Topic 5: Specification: Choosing Independent Variables (Studenmund, Chapter 6) Econ7 Appled Economercs Topc 5: Specfcaon: Choosng Independen Varables (Sudenmund, Chaper 6 Specfcaon errors ha we wll deal wh: wrong ndependen varable; wrong funconal form. Ths lecure deals wh wrong ndependen

More information

Notes on the stability of dynamic systems and the use of Eigen Values.

Notes on the stability of dynamic systems and the use of Eigen Values. Noes on he sabl of dnamc ssems and he use of Egen Values. Source: Macro II course noes, Dr. Davd Bessler s Tme Seres course noes, zarads (999) Ineremporal Macroeconomcs chaper 4 & Techncal ppend, and Hamlon

More information

Lecture 2 M/G/1 queues. M/G/1-queue

Lecture 2 M/G/1 queues. M/G/1-queue Lecure M/G/ queues M/G/-queue Posson arrval process Arbrary servce me dsrbuon Sngle server To deermne he sae of he sysem a me, we mus now The number of cusomers n he sysems N() Tme ha he cusomer currenly

More information

Sampling Techniques for Probabilistic and Deterministic Graphical models

Sampling Techniques for Probabilistic and Deterministic Graphical models Samplng ehnques for robabls and Deermns Graphal models ICS 76 Fall 04 Bozhena Bdyuk Rna Deher Readng Darwhe haper 5 relaed papers Overvew. robabls Reasonng/Graphal models. Imporane Samplng 3. Markov Chan

More information

Chapter 6: AC Circuits

Chapter 6: AC Circuits Chaper 6: AC Crcus Chaper 6: Oulne Phasors and he AC Seady Sae AC Crcus A sable, lnear crcu operang n he seady sae wh snusodal excaon (.e., snusodal seady sae. Complee response forced response naural response.

More information

Coordination and Concurrent Negotiation for Multiple Web Services Procurement

Coordination and Concurrent Negotiation for Multiple Web Services Procurement Proeedngs of he Inernaonal MulConferene of Engneers and Compuer Senss 009 Vol I IMECS 009, Marh 8-0, 009, Hong Kong Coordnaon and Conurren Negoaon for Mulple Web Serves Prouremen Benyun Sh, and Kwang Mong

More information

Mechanics Physics 151

Mechanics Physics 151 Mechancs Physcs 5 Lecure 0 Canoncal Transformaons (Chaper 9) Wha We Dd Las Tme Hamlon s Prncple n he Hamlonan formalsm Dervaon was smple δi δ Addonal end-pon consrans pq H( q, p, ) d 0 δ q ( ) δq ( ) δ

More information

Superstructure-based Optimization for Design of Optimal PSA Cycles for CO 2 Capture

Superstructure-based Optimization for Design of Optimal PSA Cycles for CO 2 Capture Supersruure-asedOpmaonforDesgnof OpmalPSACylesforCO 2 Capure R. S. Kamah I. E. Grossmann L.. Begler Deparmen of Chemal Engneerng Carnege Mellon Unversy Psurgh PA 523 Marh 2 PSA n Nex Generaon Power Plans

More information

Regularization and Stabilization of the Rectangle Descriptor Decentralized Control Systems by Dynamic Compensator

Regularization and Stabilization of the Rectangle Descriptor Decentralized Control Systems by Dynamic Compensator www.sene.org/mas Modern Appled ene Vol. 5, o. 2; Aprl 2 Regularzaon and ablzaon of he Reangle Desrpor Deenralzed Conrol ysems by Dynam Compensaor Xume Tan Deparmen of Eleromehanal Engneerng, Heze Unversy

More information

Optimal Adaptive Data Transmission over a Fading Channel with Deadline and Power Constraints

Optimal Adaptive Data Transmission over a Fading Channel with Deadline and Power Constraints Opmal Adapve Daa Transmsson over a Fadng Channel wh Deadlne and Power Consrans Muraza Zafer and yan Modano aboraory for Informaon and Deson Sysems Massahuses Insue of Tehnology Cambrdge, MA 239, USA emal:{muraza,modano}@m.edu

More information

Chapters 2 Kinematics. Position, Distance, Displacement

Chapters 2 Kinematics. Position, Distance, Displacement Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen

More information

Method of Characteristics for Pure Advection By Gilberto E. Urroz, September 2004

Method of Characteristics for Pure Advection By Gilberto E. Urroz, September 2004 Mehod of Charaerss for Pre Adveon By Glbero E Urroz Sepember 004 Noe: The followng noes are based on lass noes for he lass COMPUTATIONAL HYDAULICS as agh by Dr Forres Holly n he Sprng Semeser 985 a he

More information

Amit Mehra. Indian School of Business, Hyderabad, INDIA Vijay Mookerjee

Amit Mehra. Indian School of Business, Hyderabad, INDIA Vijay Mookerjee RESEARCH ARTICLE HUMAN CAPITAL DEVELOPMENT FOR PROGRAMMERS USING OPEN SOURCE SOFTWARE Ami Mehra Indian Shool of Business, Hyderabad, INDIA {Ami_Mehra@isb.edu} Vijay Mookerjee Shool of Managemen, Uniersiy

More information

Output equals aggregate demand, an equilibrium condition Definition of aggregate demand Consumption function, c

Output equals aggregate demand, an equilibrium condition Definition of aggregate demand Consumption function, c Eonoms 435 enze D. Cnn Fall Soal Senes 748 Unversy of Wsonsn-adson Te IS-L odel Ts se of noes oulnes e IS-L model of naonal nome and neres rae deermnaon. Ts nvolves exendng e real sde of e eonomy (desred

More information

Video-Based Face Recognition Using Adaptive Hidden Markov Models

Video-Based Face Recognition Using Adaptive Hidden Markov Models Vdeo-Based Face Recognon Usng Adapve Hdden Markov Models Xaomng Lu and suhan Chen Elecrcal and Compuer Engneerng, Carnege Mellon Unversy, Psburgh, PA, 523, U.S.A. xaomng@andrew.cmu.edu suhan@cmu.edu Absrac

More information

A Novel Efficient Stopping Criterion for BICM-ID System

A Novel Efficient Stopping Criterion for BICM-ID System A Novel Effcen Soppng Creron for BICM-ID Sysem Xao Yng, L Janpng Communcaon Unversy of Chna Absrac Ths paper devses a novel effcen soppng creron for b-nerleaved coded modulaon wh erave decodng (BICM-ID)

More information

Polymerization Technology Laboratory Course

Polymerization Technology Laboratory Course Prakkum Polymer Scence/Polymersaonsechnk Versuch Resdence Tme Dsrbuon Polymerzaon Technology Laboraory Course Resdence Tme Dsrbuon of Chemcal Reacors If molecules or elemens of a flud are akng dfferen

More information

Origin of the inertial mass (II): Vector gravitational theory

Origin of the inertial mass (II): Vector gravitational theory Orn of he neral mass (II): Veor ravaonal heory Weneslao Seura González e-mal: weneslaoseuraonzalez@yahoo.es Independen Researher Absra. We dedue he nduve fores of a veor ravaonal heory and we wll sudy

More information

Lecture 11 SVM cont

Lecture 11 SVM cont Lecure SVM con. 0 008 Wha we have done so far We have esalshed ha we wan o fnd a lnear decson oundary whose margn s he larges We know how o measure he margn of a lnear decson oundary Tha s: he mnmum geomerc

More information

Chapter 5. Circuit Theorems

Chapter 5. Circuit Theorems Chaper 5 Crcu Theorems Source Transformaons eplace a olage source and seres ressor by a curren and parallel ressor Fgure 5.-1 (a) A nondeal olage source. (b) A nondeal curren source. (c) Crcu B-conneced

More information

Reactive Methods to Solve the Berth AllocationProblem with Stochastic Arrival and Handling Times

Reactive Methods to Solve the Berth AllocationProblem with Stochastic Arrival and Handling Times Reacve Mehods o Solve he Berh AllocaonProblem wh Sochasc Arrval and Handlng Tmes Nsh Umang* Mchel Berlare* * TRANSP-OR, Ecole Polyechnque Fédérale de Lausanne Frs Workshop on Large Scale Opmzaon November

More information

Chapter Lagrangian Interpolation

Chapter Lagrangian Interpolation Chaper 5.4 agrangan Inerpolaon Afer readng hs chaper you should be able o:. dere agrangan mehod of nerpolaon. sole problems usng agrangan mehod of nerpolaon and. use agrangan nerpolans o fnd deraes and

More information

Problem Set 9 Due December, 7

Problem Set 9 Due December, 7 EE226: Random Proesses in Sysems Leurer: Jean C. Walrand Problem Se 9 Due Deember, 7 Fall 6 GSI: Assane Gueye his problem se essenially reviews Convergene and Renewal proesses. No all exerises are o be

More information

Can you guess. 1/18/2016. Classical Relativity: Reference Frames. a x = a x

Can you guess. 1/18/2016. Classical Relativity: Reference Frames. a x = a x /8/06 PHYS 34 Modern Phsis Speial relaii I Classial Relaii: Referene Frames Inerial Frame of Referene (IFR): In suh frame, he Newons firs and seond laws of moion appl. Eample: A rain moing a a Consan eloi.

More information

CHAPTER 2: Supervised Learning

CHAPTER 2: Supervised Learning HATER 2: Supervsed Learnng Learnng a lass from Eamples lass of a famly car redcon: Is car a famly car? Knowledge eracon: Wha do people epec from a famly car? Oupu: osve (+) and negave ( ) eamples Inpu

More information

January Examinations 2012

January Examinations 2012 Page of 5 EC79 January Examnaons No. of Pages: 5 No. of Quesons: 8 Subjec ECONOMICS (POSTGRADUATE) Tle of Paper EC79 QUANTITATIVE METHODS FOR BUSINESS AND FINANCE Tme Allowed Two Hours ( hours) Insrucons

More information

A New Rate Control Algorithm for MPEG-4 Video Coding

A New Rate Control Algorithm for MPEG-4 Video Coding A New Rae onrol Algorhm for MPEG-4 Vdeo odng Sun Yu and Ishfaq Ahmad Deparmen of ompuer Scence Hong Kong Unversy of Scence and Technology cssunyu@cs.us.hk, ahmad@cs.us.hk ABSTRAT Ths paper proposes a new

More information

WiH Wei He

WiH Wei He Sysem Idenfcaon of onlnear Sae-Space Space Baery odels WH We He wehe@calce.umd.edu Advsor: Dr. Chaochao Chen Deparmen of echancal Engneerng Unversy of aryland, College Par 1 Unversy of aryland Bacground

More information

TAX AND BENEFIT REFORMS

TAX AND BENEFIT REFORMS European Nework of Eonom Poly Researh Insues TAX AND BENEFIT REFORMS IN A MODEL OF LABOUR MARKET TRANSITIONS MICHAL MYCK AND HOWARD REED ENEPRI RESEARCH REPORT NO. 25 OCTOBER 2006 ENEPRI Researh Repors

More information

CS 268: Packet Scheduling

CS 268: Packet Scheduling Pace Schedulng Decde when and wha pace o send on oupu ln - Usually mplemened a oupu nerface CS 68: Pace Schedulng flow Ion Soca March 9, 004 Classfer flow flow n Buffer managemen Scheduler soca@cs.bereley.edu

More information

Attributed Graph Matching Based Engineering Drawings Retrieval

Attributed Graph Matching Based Engineering Drawings Retrieval Arbued Graph Machng Based Engneerng Drawngs Rereval Rue Lu, Takayuk Baba, and Dak Masumoo Fusu Research and Developmen Cener Co LTD, Beng, PRChna Informaon Technology Meda Labs Fusu Laboraores LTD, Kawasak,

More information

10. A.C CIRCUITS. Theoretically current grows to maximum value after infinite time. But practically it grows to maximum after 5τ. Decay of current :

10. A.C CIRCUITS. Theoretically current grows to maximum value after infinite time. But practically it grows to maximum after 5τ. Decay of current : . A. IUITS Synopss : GOWTH OF UNT IN IUIT : d. When swch S s closed a =; = d. A me, curren = e 3. The consan / has dmensons of me and s called he nducve me consan ( τ ) of he crcu. 4. = τ; =.63, n one

More information

. The geometric multiplicity is dim[ker( λi. A )], i.e. the number of linearly independent eigenvectors associated with this eigenvalue.

. The geometric multiplicity is dim[ker( λi. A )], i.e. the number of linearly independent eigenvectors associated with this eigenvalue. Mah E-b Lecure #0 Noes We connue wh he dscusson of egenvalues, egenvecors, and dagonalzably of marces We wan o know, n parcular wha condons wll assure ha a marx can be dagonalzed and wha he obsrucons are

More information

Fall 2010 Graduate Course on Dynamic Learning

Fall 2010 Graduate Course on Dynamic Learning Fall 200 Graduae Course on Dynamc Learnng Chaper 4: Parcle Flers Sepember 27, 200 Byoung-Tak Zhang School of Compuer Scence and Engneerng & Cognve Scence and Bran Scence Programs Seoul aonal Unversy hp://b.snu.ac.kr/~bzhang/

More information

Decomposing exports growth differences across Spanish regions

Decomposing exports growth differences across Spanish regions Deomposng expors growh dfferenes aross Spansh regons Aser Mnondo* (Unversdad de Deuso) Franso Requena (Unversdad de Valena) Absra Why do expors grow faser n some regons han n ohers? The regonal leraure

More information

doi: info:doi/ /

doi: info:doi/ / do: nfo:do/0.063/.322393 nernaonal Conference on Power Conrol and Opmzaon, Bal, ndonesa, -3, June 2009 A COLOR FEATURES-BASED METHOD FOR OBJECT TRACKNG EMPLOYNG A PARTCLE FLTER ALGORTHM Bud Sugand, Hyoungseop

More information

Solution of Unit Commitment Problem Using Enhanced Genetic Algorithm

Solution of Unit Commitment Problem Using Enhanced Genetic Algorithm Soluon of Un Commmen roblem Usng Enhaned Gene Algorhm raeek K. Snghal, R. Naresh 2 Deparmen of Eleral Engneerng Naonal Insue of ehnology, Hamrpur Hmahal radesh, Inda-77005 snghalkpraeek@gmal.om, 2 rnareshnh@gmal.om

More information

GENERATING CERTAIN QUINTIC IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS. Youngwoo Ahn and Kitae Kim

GENERATING CERTAIN QUINTIC IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS. Youngwoo Ahn and Kitae Kim Korean J. Mah. 19 (2011), No. 3, pp. 263 272 GENERATING CERTAIN QUINTIC IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS Youngwoo Ahn and Kae Km Absrac. In he paper [1], an explc correspondence beween ceran

More information

Math 128b Project. Jude Yuen

Math 128b Project. Jude Yuen Mah 8b Proec Jude Yuen . Inroducon Le { Z } be a sequence of observed ndependen vecor varables. If he elemens of Z have a on normal dsrbuon hen { Z } has a mean vecor Z and a varancecovarance marx z. Geomercally

More information

ELASTIC MODULUS ESTIMATION OF CHOPPED CARBON FIBER TAPE REINFORCED THERMOPLASTICS USING THE MONTE CARLO SIMULATION

ELASTIC MODULUS ESTIMATION OF CHOPPED CARBON FIBER TAPE REINFORCED THERMOPLASTICS USING THE MONTE CARLO SIMULATION THE 19 TH INTERNATIONAL ONFERENE ON OMPOSITE MATERIALS ELASTI MODULUS ESTIMATION OF HOPPED ARBON FIBER TAPE REINFORED THERMOPLASTIS USING THE MONTE ARLO SIMULATION Y. Sao 1*, J. Takahash 1, T. Masuo 1,

More information

CH.3. COMPATIBILITY EQUATIONS. Continuum Mechanics Course (MMC) - ETSECCPB - UPC

CH.3. COMPATIBILITY EQUATIONS. Continuum Mechanics Course (MMC) - ETSECCPB - UPC CH.3. COMPATIBILITY EQUATIONS Connuum Mechancs Course (MMC) - ETSECCPB - UPC Overvew Compably Condons Compably Equaons of a Poenal Vecor Feld Compably Condons for Infnesmal Srans Inegraon of he Infnesmal

More information