KnowledgeZoom for Java: A Concept-Based Exam Study Tool with a Zoomable Open Student Model

Size: px
Start display at page:

Download "KnowledgeZoom for Java: A Concept-Based Exam Study Tool with a Zoomable Open Student Model"

Transcription

1 Pete Buslvsky Unvesty f Pttsbugh Pttsbugh, USA peteb@ptt.edu 2013 IEEE 13th Intenatnal Cnfeence n Advanced Leanng Technlges KnwledgeZm f Java: A Cncept-Based Exam Study Tl wth a Zmable Open Student del Dhuba Bashya ON24, Inc. San Fancsc, CA dhuba.bashya@ n24.cm Rya Hssen Unvesty f Pttsbugh Pttsbugh, USA h38@ptt.edu Jul Guea Unvesdad Austal de Chle Valdva, Chle jguea@nf.uach.cl ne Lang Fudan Unvesty Shangha, Chna mchelle_lang@ fudan.edu.cn Abstact-- Ths pape pesents u attempt t develp a pesnalzed exam pepaatn tl f Java/OOP classes based n a fne-ganed cncept mdel f Java knwledge. Ou gal was t exple tw mst ppula student mdel-based appaches: pen student mdelng and pblem sequencng. The esult f u wk s a Java exam pepaatn tl, KnwledgeZm. The tl cmbnes an pen cncept-level student mdel cmpnent, Knwledge Exple and a cnceptbased sequencng cmpnent, Knwledge axmze nt a sngle nteface. Ths pape pesents bth cmpnents f KnwledgeZm, epts esults f ts evaluatn, and dscusses lessns leaned. Keywds-Pblem Sequencng, Open Student delng, Pgessve Zm I. INTRODUCTION Exam pepaatn s a challengng task f cllege students. Wthn a sht ped f tme, typcally a week less, a student needs t evew the cntent that was studed ve the whle semeste, dentfy pssble knwledge gaps and mscnceptns, and fll these gaps. A pesnalzed leanng tl based n a lng-tem student mdel culd be vey helpful n ths pcess. By eflectng students pgess ve the whle semeste, a student mdel can dstngush tpcs that wee leaned and need just a quck efesh f tpcs that wee mssed and may need a thugh evew. Usng ths mdel, a pesnalzed exam pepaatn tl can ndvdually gude each student thugh the study pcess. Supsngly, we wee nt able t fnd any attempt t develp a pesnalzed exam pepaatn tl. Whle a ange f pesnalzed sequencng and adaptve navgatn appaches have been develped (see Sectn II), all appaches knwn t us ae fcused n supptng egula leanng pcess that gudes students thugh the whle pcess f subject leanng statng at the vey begnnng. In u past wk, we expled a numbe f pesnalzed gudance appaches. In patcula, we develped seveal systems t suppt pesnalzed gudance f a cuse n Java and Object Oented Pgammng (OOP) ncludng a tpc-based gudance system JavaGude [8] and a scal gudance system Pgess+ [7]. Whle these tls wee hghly effcent n gudng student pactce ve the duatn f the cuse, we fund that the gudance pvded by ethe f them s nt suffcent f exam pepaatn. Nethe case-ganed tpc-based gudance, n scal gudance was able t ecgnze specfc hles n students knwledge and t ffe the best way t bdge the gap. The expeence wth bth tls caused us t beleve that an exam pepaatn tl eques a fne-ganed cncept-level student mdel and a specfc gap-fcused gudance appach. Ths pape pesents u attempt t develp an exam pepaatn tl f Java/OOP classes based n a fneganed cncept mdel f Java knwledge. Ou gal was t exple tw mst ppula student mdel-based pesnalzed gudance appaches: pen student mdelng and pblem sequencng. The dea f pen student mdelng s t shw the state f a student mdel t the student n de t help he eflect n he knwledge, dentfy gaps, and fcus n fllng these gaps. The dea f adaptve pblem sequencng s t geneate a pesnalzed sequence f pblems that wll help the student t effcently pactce he mssng knwledge. The Java exam pepaatn tl KnwledgeZm (KZ) that we develped cmbnes an pen cncept-level student mdel cmpnent Knwledge Exple (KE) and a cncept-based sequencng cmpnent Knwledge axmze (K) n a sngle nteface. Ths pape pesents bth cmpnents f KZ fcusng n the challenges f cncept-level pen student mdelng and sequencng, epts ts evaluatn, and dscusses lessns leaned. II. RELATED WORK A. Open Student delng Open student mdelng s an mptant eseach dectn n the aea f ntellgent educatnal systems. Unlke the mansteam eseach n ths aea that use a student mdel as a hdden nfmatn suce t adapt the leanng pcess t students needs, pen student mdelng eseaches ague that a student mdel has ts wn pedaggcal value and shuld be vsble and edtable by students. A ange f benefts have been epted n penng the student mdels t the leanes, such as nceasng the leane s awaeness f the develpng knwledge, dffcultes and the leanng pcess, and students engagement, mtvatn, and knwledge eflectn [4; 13; 16]. Vsual pesentatns f the student mdel vay fm dsplayng hgh-level summaes (such as skll metes) [13] t cmplex cncept maps Bayesan Netwks [16]. In patcula, seveal pjects expled Teeaps [14] as a way t pesent heachcal student mdels [2; 5; 10; 11]. Yet, the student mdels expled n eale pjects wee elatvely smple and typcally pesented n ne-sht that elmnated a need t exple the mdel n detal. In cntast, u wk fcuses n easnably cmplex cncept-based use mdels wth hundeds f cncepts and studes a pgessve zm [10] appach t exple these mdels /13 $ IEEE DOI /ICALT

2 B. Adaptve Pblem Sequencng Adaptve pblem sequencng s ne f the ldest technlges n the aea f ntellgent educatnal systems. The gal f ths technlgy s t geneate a pesnalzed sequence f pblems f evey student s that they can acheve the leanng gal n a mst ptmal way. A ange f appaches wee ppsed f adaptve pblem sequencng ncludng appaches based n asscatve mechansms [9], dynamc pblem dffculty [12], and metadata [6]. Cnceptbased pblem sequencng [1] s a subclass f sequencng appaches. It s based n a fne-ganed cncept-level dman mdel that s used t ndex pblems. Althugh all sequencng appaches ty t fnd the mst ptmal pblems f the students, they mght fal when the use mdel s ncect. In such cases the system selectn cannt be eled upn and students shuld be able t select the pblems themselves. In u pevus ntefaces f accessng leanng cntent f Java, we have ted t educe the negatve effects f sequencng es thugh adaptve navgatn suppt technlges that d nt fce the students t wk n a pblem cnsdeed the best by the sequencng mechansm, but pvde anntatn-based navgatn suppt that cmbnes ntellgent gudance wth human decsnmakng [3; 8]. In ths pape, we etun t a me tadtnal pblem sequencng mechansm that we cnsde as a pmsng appach n the exam pepaatn cntext when tme s lmted and an ptmal gudance becmes qute ctcal. III. THE KNOWLEDGEZOO (KZ) STUDY TOOL T nvestgate the value f cncept-based pesnalzatn n the cntext f exam pepaatn, we develped a cnceptbased exam study tl KZ. The gal f KZ s t help the students dentfy the cuse knwledge gaps and pvde tls t bdge these gaps n an effectve way. The fst pat f ths dual gal s suppted by the KE cmpnent, a cncept-based heachcal zmable pen student mdel. The secnd gal s suppted by the K, a cncept-based adaptve pblem sequencng tl. The nteface f KZ (Fg. 1) pvdes dect access t the KE mdel and a buttn t launch the K. Students access the tl thugh a pesnalzed leanng ptal alng wth seveal the study tls such as JavaGude [8] and Pgess+ [7]. A. The Dman del and the Leanng Cntent KZ s based n a cncept-level mdel f knwledge abut Java and OOP. Ths mdel s fmed by a subset f cncepts fm the Java ntlgy bult by the PAWs lab. The Java ntlgy ncludes 344 cncepts ganzed nt an 8-level tee. The leanng cntent n KZ s fmed by 103 paametezed self-assessment questns that wee develped n u team as a pat f an eale pject [8]. Each questn s ndexed wth ntlgy cncepts. The ndexng classfes the peequste cncepts that shuld be knwn befe appachng the questn and the utcme cncepts t be masteed by wkng wth the questn. The numbe f cncepts asscated wth a sngle questn anges fm 5 t 52 (0 t 41 peequstes, 1 t 12 utcmes). These questns cve the 188 mst mptant cncepts f Java whch fm the KZ dman mdel. B. The Knwledge Exple (KE) KE s a mult-level pen student mdel vsualzed wth a zmable Teemap. The nfmatn pesented by KE s an velay mdel f Java Knwledge based n the KZ ntlgcal dman mdel. The velay student mdel n KZ s mantaned by a use mdelng sevce, PERSEUS [15], whch updates the mdel afte evey attempt t answe a questn and changes the knwledge level f cncepts elated t the questn. Fgue 1. The KnwledgeZm nteface shwng the tp level f the Knwledge Exple map and a buttn t launch Knwledge axmze. Fgue 2. Zmng n the nde Expessns (tp left cne as maked n Fg. 1) eveals next level f the cncept heachy. Nw the use can see that the nde LgcExpessn that has ntemedate knwledge as a whle (shwn as yellw) cnssts f seveal well leaned and seveal unknwn cncepts. A zmable Teemap was selected t pesent the student mdel due t ts elatvely lage sze and heachcal natue. The Teemap layut shws nly fu levels f cncept heachy statng fm the cuent tp nde and hdng lwe-level ndes behnd ts ancest nde. The use, hweve, can zm n any nde. Afte zmng n, the nde expands becmng the tp nde and ccupyng the whle vew. Zmng-n mmedately expses pevusly hdden levels f heachy. F example, Fg. 2 shws the esults f zmng nt a secnd level cncept, Expessn shwn n the tp left quadant f Fg. 1. In the Teemap layut, each nde (a cncept n the Java ntlgy) s shwn as a cled ectangle. A leaf cncept f the ntlgy cespnds t a temnal nde f the Teemap. 276

3 The sze f a nde epesents the mptance f a cncept n the cntext f Java language and ts chance t be checked as pat f the exam. We measue t by cuntng hw many questns ae elated t the leaf cncept cespndng t ths leaf nde n the Teemap. Snce the numbe f execses elated t ndes can be qute dffeent, whch leads t a lage dffeence n the nde szes, we use the lg 2 (sze) t mdeate the dffeences. The cl f a nde epesents the level f cncept knwledge demnstated by a student. We use 10 cls fm ed t geen t epesent the pgessn fm weake t stnge knwledge. In a heachcal zmable layut, a leaf nde dectly epesents the mptance and knwledge level f a cncept wth ts sze and cl espectvely, whle each ntemedate nde accumulatvely aggegates mptance and cncept knwledge fm ts chld ndes. As a esult f the aggegatn, the uppe-level vews shw vevews f students state f knwledge n hghe levels (Fg. 1), whle beng able t exple detaled knwledge f evey cncept as zmng nt lwe levels f the ntlgy (Fg. 2). The calculatn f the aggegated sze and cl s mptant t bdge the gaps between lwe and hghe levels f vews. In KE, the sze aggegatn s pvded by Teemap. F the cl aggegatn, the cl f an ntemedate nde s the aveage cl f ts dect chld ndes weghted wth the szes n de t eflect the mptance f the asscated cncepts. C. The Knwledge axmze (K) The gal f the K s t pvde the leane wth a set f questns, whch wll help he acheve he leanng gals by ecmmendng the questns wth the hghest gan. K cnsdes the fllwng facts f selectn f the best actvtes whch ae cnsdeed as questns: Hw much s the student pepaed t d the actvty? The students shuld be pepaed t d the ppsed actvtes. The actvtes f whch the student has lw levels f knwledge f peequste cncepts ae nt gd suggestns. We calculate the leane knwledge f each f the peequste cncepts f an actvty t see hw much the student s pepaed t d t. Equatn (1) shws the fmula: K k w max( k ) w w lg( w ) (1) whee K s the level f the leane s knwledge n the peequstes f the actvty; w s the smthed weght f the actvty-cncept (we d t by pefmng lg functn n the weght); k s the level f the leane s knwledge n the th cncept and s the set f peequste cncepts f the actvty. Hghe knwledge f peequste cncepts f an actvty (lage K) makes t a bette canddate t be selected by the ptmze. What s the mpact f the actvty? The fmula f ths mpact s shwn as (2): I w(1 k ) w whee s the set f cncepts f the utcme f the actvty. Impact I f a cetan actvty shws that when the actvty has hghe mpact and hence t wll be a bette canddate t be selected by the ptmze. Has the use aleady cmpleted the actvty? We use success ate t undestand hw much the leane has leaned fm an actvty. We defne t as (3): (2) s S 1 (3) t 1 whee S s the nvese success ate f the student n the actvty; s s the numbe f the tmes the student has succeeded n the actvty; and t s the ttal numbe f tmes the student has ted the actvty Havng calculated the abve facts, we can smply ank the actvtes usng (4): R K I S (4) whee R s the ank f the actvty and,, ae the weghts assgned t each f the abve mentned facts espectvely. Navgatn Buttn Quz Aea Knwledge Level Fgue 3. The Knwledge axmze nteface Fg. 3 shws the nteface f K. The lst f cncepts cveed by the quz s als shwn n the ght sde f ths panel. The cl next t each cncept epesents the student s cuent knwledge level. IV. THE EVALUATION Quz Cncepts T assess the value f KZ we cnducted a classm study n the cntext f a Java-based undegaduate cuse Intductn t Object Oented Pgammng at the Schl f Infmatn Scences, Unvesty f Pttsbugh. All students enlled n ths cuse wee nvted t use the KZ 277

4 f the fnal exam pepaatn. The study stated n Decembe 4 th 2012 abut a week befe the fnal exam. Nte that the class als used QuzGude and Pgess+ t access Java questns that wee avalable fm the begnnng f the semeste. As a esult, many students leaned a cnsdeable numbe f Java cncepts by the tme they stated wth KZ and wee able t beneft fm the gap fllng natue f the system. Fgue 1 shwed hw knwledge map mght have lked t a typcal student dung the fst sessn f KZ many cncepts wee leaned, yet thee wee stll many ange and ed gaps t fll. A. Lg Analyss We hyptheszed that KZ bdges the exstng gap n the student s knwledge by ecmmendng a set f questns that bng a student t a bette level f knwledge. T examne u hypthess, we cnsdeed the fllwng system usage paametes: Attempts (the ttal numbe f questns attempted) Success Rate (the pecentage f cectly answeed questns) Dstnct Questns (the numbe f dstnct attempted questns) Attempts pe questn (the numbe f attempts f dng a questn) Sessns (the numbe f sessns the students wked wth the systems ) In u analyss we sepaately cunted questn accesses fm KZ and questns accessed fm ethe QuzGude/Pgess+. Attempts made fm KZ wee made by 14 students whle attempts made fm QuzGude/Pgess+ wee made by 17 students. As can be seen n Table I, the ttal numbe f attempts made fm QuzGude/Pgess+ was much lage, whch s natual snce the students wee famla wth QuzGude and Pgess+ fm the begnnng f the class. Yet, t s qute emakable that KZ, whch was ntduced just a week befe the exam, was cnsdeably used. We als bseved that KZ pesented students wth nteestng and challengng questns as shwn by the ncease f attempts pe questn. TABLE I. SYSTE USAGE SUARY Paamete KZ QG,P+ (n=14) (n=17) Attempts Success ate 58% 64% Dstnct questns 119 (27%) 1145 (35%) Attempts pe questns Attempt pe Sessns KZ = KnwledgeZm; QG = QuzGude; P+ = Pgess+. T assess whethe K was successful n maxmzng students steps twads the gals, we guped questns nt thee dffeent cmplexty levels based n the numbe f nvlved cncepts (Easy, deate and Cmplex) [8]. A questn wth 15 fewe cncepts s cnsdeed t be Easy, 16 t 90 as deate, and 90 hghe as Cmplex. Table II lsts the numbe f attempts made t easy, mdeate, and cmplex questns fm KZ and fm QuzGude/Pgess+. The data evealed that althugh n KZ the factn f easy/mdeate questn attempts was smalle than n QuzGude/Pgess+, the numbe f attempts t cmplex questns whch helped students each the gal faste by cveng many cncepts at nce was abut 2.5 tmes geate. Anthe nteestng esult was that despte a emakable ncease n cmplex questns, the success ates acss all systems wee cmpaable. TABLE II. Cmplexty NUBER OF ATTEPTS, SUCCESS RATES BY SYSTE AND COPLEXITY LEVEL Numbe f Attempts KZ (n=14) Success ate Easy 27 (6.2%) 93% deate Cmplex 189 (43.5%) 218 (50.2%) 68% Numbe f Attempts 1123 (34.6%) 1471 (45.3%) QG,P+ (n=17) Success ate 73% 61% 46% 651(20.1%) 55% Ttal % % KZ = KnwledgeZm; QG = QuzGude; P+ = Pgess+. B. Student Feedback Analyss At the end f the evaluatn, students wee asked t pvde feedback abut KZ and the systems used n the cuse. Of 21 students wh etuned the fms, 11 students used KZ, hweve nly 10 f them answeed questns elated t KZ. Snce KZ s the fcus f ths pape, the fllwng analyss s based n the KZ pat f the questnnae and analyzes the answes f these 10 students. The esults ae shwn n Fg 4. Oveall, 80% f the students cnsdeed the KZ system helpful as a whle (A11), whch suggests that t s helpful t cmbne the tw ndvdual cmpnents, KE and K tgethe. F KE, 70% cnsdeed ts nteface helpful t dentfy the knwledge weak pnts (A2), whch pvdes evdence t suppt the man gal f KE. 60% ageed that use f cl f Teemap ndes t shw the cncept knwledge was clea (A5), and 60% ageed that the use f cl aggegatn t shw the hghe-level cncept knwledge was clea (A6); 60% ageed that the use f Teemap nde sze t shw cncept mptance was clea (A7), and 60% ageed that the use f sze aggegatn t shw the mptance f hghe-level cncepts was clea (A8). We need t nvestgate these esults futhe. F K, abut 78% f the students cnsdeed the ablty f K t geneate quzzes that cve many cncepts as helpful (A4) 1, whch pvdes evdence t suppt the man gal f K. Only 30% nted that the quzzes geneated by K wee t smple f them (A9), supptng the lg analyss data that K challenged the students. Hweve, nly 40% cnsdeed that the KZ nteface helped them t access the mst elevant quzzes (A3), and nly 40% cnsdeed that the KZ system acceleated the pepaatn f the fnal exam (A10). 1 Only nne students answeed ths questn. 278

5 The analyss f student feedback ndcated that many students wee fustated that the questns pvded by K cmpnent wee nt affected by the KE zmng actvty. They expected that zmng nt a specfc dffcult cncept shuld allw them t access t questns specfcally elated t that cncept. Pecentage f Students' Answes 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% A1 A2 A3 A4 A5 A6 A7 A8 A9 A10A11 Questns Fgue 4. Subjectve evaluatn: questns and esults V. CONCLUSION AND FUTURE WORK 1: Stngly dsagee 2: Dsagee 3: N pn 4: Agee 5: Stngly agee A1: The KZ nteface helped me t undestand hw the class cntent s ganzed. ( ) A2: The KZ nteface helped me t dentfy my weak pnts. ( ) A3: The KZ nteface helped me t access the mst elevant quzzes. ( ) A4: The ablty f the Knwledge axmze t geneate quzzes that cve many cncepts was helpful. ( ) A5: The use f cl f Teemap ndes t shw my cncept knwledge was clea. ( ) A6: The use f cl aggegatn t shw my hghe-level cncept knwledge s clea. ( ) A7: The use f Teemap nde sze t shw cncept mptance s clea. ( ) A8: The use f sze aggegatn t shw the mptance f hghe-level cncepts s clea. ( ) A9: The quzzes geneated by the Knwledge axmze wee t smple f me. ( ) A10: The KZ system acceleated my pepaatn f the fnal exam. ( ) A11: The KZ system as a whle has been helpful. ( ) In ths pape, we have expled tw cncept-based appaches - an pen zmable student mdel and adaptve pblem sequencng t suppt students t pepae f the fnal exams n a Java pgammng class. The esults f u study shwed that u tl attacted student attentn and was ecgnzed by them as cnsdeably helpful n vsualzng the Java knwledge and n evealng knwledge gaps. KZ was able t geneate challengng questns that shtened the path t students leanng gals. In u futue wk we plan t mpve KZ and mplement bette cnnectns between ts cmpnents by ntegatng cncept zmng and questn access; and t futhe nvestgate hw t epesent me clealy the uses knwledge wth the Teemaps attbutes (cl and sze). ACKNOWLEDGENT Ths eseach was suppted n pat by the Natnal Scence Fundatn unde Gant N Jul Guea s suppted by a Chlean Schlashp (Becas Chle) fm the Natnal Cmmssn f Scence Reseach and Technlgy (CONICYT, Chle) and the Unvesdad Austal de Chle. ne Lang was a Vstng Schla at the Schl f Infmatn Scence, Unvesty f Pttsbugh when she wked n ths pject. REFERENCES [1] P. Buslvsky, A famewk f ntellgent knwledge sequencng and task sequencng. n: Pc. Secnd Intenatnal Cnfeence n Intellgent Tutng Systems, ITS'92 C. Fassn, G. Gauthe and G. ccalla, eds.,spnge-velag, nteal, Canada, 1992, pp [2] P. Buslvsky, I.-H. Hsa and Y. Flajm, Quzap: Open Scal Student delng and Adaptve Navgatn Suppt wth Teeaps. n: Pc. 6th Eupean Cnfeence n Technlgy Enhanced Leanng (ECTEL 2011) Lectue Ntes n Cmpute Scence 6964, Spnge-Velag, 2011, pp [3] P. Buslvsky and S. Ssnvsky, Engagng students t wk wth self-assessment questns: A study f tw appaches. n: Pc. 10th Annual Cnfeence n Innvatn and Technlgy n Cmpute Scence Educatn, ITCSE' , pp [4] S. Bull, Supptng leanng wth pen leane mdels. n: Pc. 4th Hellenc Cnfeence n Infmatn and Cmmuncatn Technlges n Educatn A, Athens, Geece, 2004, pp [5].H. Falakmas, I.-H. Hsa, L. azzla, N. Gant and P. Buslvsky, The Impact f Scal Pefmance Vsualzatn n Students. n: Pc. 12th IEEE Intenatnal Cnfeence n Advanced Leanng TechnlgesIEEE, Rme, Italy, 2012, pp [6] S. Fsche, Cuse and execse sequencng usng metadata n adaptve hypemeda leanng systems. AC Junal n Educatnal Resuces n Cmputng 1(1) (2001). [7] I.-H. Hsa and P. Buslvsky, tvatnal Scal Vsualzatns f Pesnalzed E-Leanng. n: Pc. 7th Eupean Cnfeence n Technlgy Enhanced Leanng (EC-TEL 2012) Lectue Ntes n Cmpute Scence 7563, Saabücken, Gemany, 2012, pp [8] I.-H. Hsa, S. Ssnvsky and P. Buslvsky, Gudng students t the ght questns: adaptve navgatn suppt n an E-Leanng system f Java pgammng. Junal f Cmpute Asssted Leanng, 26(4) (2010) [9] A.N. Kuma, A Scalable Slutn f Adaptve Pblem Sequencng and ts Evaluatn. n: Pc. 4th Intenatnal Cnfeence n Adaptve Hypemeda and Adaptve Web-Based Systems Lectue Ntes n Cmpute Scence 4018, Spnge, 2006, pp [10]. Lang, J. Guea, G.E. aa and P. Buslvsky, Cllabatve E-Leanng thugh Open Scal Student delng and Pgessve Zm Navgatn. n: Pc. COLLABORATECO th IEEE Intenatnal Cnfeence n Cllabatve Cmputng: Netwkng, Applcatns and Wkshang, Pttsbugh, USA, [11] S.N. Lndstaedt, G. Beham, B. Kump and T. Ley, Gettng t Knw Yu Use Unbtusve Use del antenance wthn Wk- Integated Leanng Envnments. n: Pc. 4th Eupean Cnfeence n Technlgy Enhanced Leanng (ECTEL 2009) Spnge-Velag, Nce, Fance, 2009, pp [12] A. tvc and B. atn, Evaluatng adaptve pblem selectn. n: Pc. Thd Intenatnal Cnfeence n Adaptve Hypemeda and Adaptve Web-Based Systems (AH'2004) Lectue Ntes n Cmpute Scence 3137, Spnge-Velag, Beln, 2004, pp [13] A. tvc and B. atn, Evaluatng the Effect f Open Student dels n Self-Assessment. Intenatnal Junal f Atfcal Intellgence n Educatn, 17(2) (2007) [14] B. Shnedeman, Tee vsualzatn wth tee-maps: 2-d space-fllng appach. AC Tansactns n Gaphcs, 11(1) (1992) [15]. Yudelsn, Pvdng sevce-based pesnalzatn n an adaptve hypemeda system. PhD Thess. U. f Pttsbugh, [16] J.-D. Zapata-Rvea and J.E. Gee, Inteactng wth Inspectable Bayesan Student dels. Intenatnal Junal f Atfcal Intellgence n Educatn, 14(1) (2004)

is needed and this can be established by multiplying A, obtained in step 3, by, resulting V = A x y =. = x, located in 1 st quadrant rotated about 2

is needed and this can be established by multiplying A, obtained in step 3, by, resulting V = A x y =. = x, located in 1 st quadrant rotated about 2 Ct Cllege f New Yk MATH (Calculus Ntes) Page 1 f 1 Essental Calculus, nd edtn (Stewat) Chapte 7 Sectn, and 6 auth: M. Pak Chapte 7 sectn : Vlume Suface f evlutn (Dsc methd) 1) Estalsh the tatn as and the

More information

Hotelling s Rule. Therefore arbitrage forces P(t) = P o e rt.

Hotelling s Rule. Therefore arbitrage forces P(t) = P o e rt. Htelling s Rule In what fllws I will use the tem pice t dente unit pfit. hat is, the nminal mney pice minus the aveage cst f pductin. We begin with cmpetitin. Suppse that a fim wns a small pa, a, f the

More information

Introduction of Two Port Network Negative Feedback (Uni lateral Case) Feedback Topology Analysis of feedback applications

Introduction of Two Port Network Negative Feedback (Uni lateral Case) Feedback Topology Analysis of feedback applications Lectue Feedback mple ntductn w Pt Netwk Negatve Feedback Un lateal Case Feedback plg nalss eedback applcatns Clse Lp Gan nput/output esstances e:83h 3 Feedback w-pt Netwk z-paametes Open-Ccut mpedance

More information

T-model: - + v o. v i. i o. v e. R i

T-model: - + v o. v i. i o. v e. R i T-mdel: e gm - V Rc e e e gme R R R 23 e e e gme R R The s/c tanscnductance: G m e m g gm e 0 The nput esstance: R e e e e The utput esstance: R R 0 /c unladed ltage gan, R a g R m e gmr e 0 m e g me e/e

More information

WYSE Academic Challenge Sectional Mathematics 2006 Solution Set

WYSE Academic Challenge Sectional Mathematics 2006 Solution Set WYSE Academic Challenge Sectinal 006 Slutin Set. Cect answe: e. mph is 76 feet pe minute, and 4 mph is 35 feet pe minute. The tip up the hill takes 600/76, 3.4 minutes, and the tip dwn takes 600/35,.70

More information

Lecture 2 Feedback Amplifier

Lecture 2 Feedback Amplifier Lectue Feedback mple ntductn w-pt Netwk Negatve Feedback Un-lateal Case Feedback plg nalss eedback applcatns Clse-Lp Gan nput/output esstances e:83hkn 3 Feedback mples w-pt Netwk z-paametes Open-Ccut mpedance

More information

EEE2146 Microelectronics Circuit Analysis and Design. MIC2: Investigation of Amplifier Parameters of a Common-Collector Amplifier

EEE2146 Microelectronics Circuit Analysis and Design. MIC2: Investigation of Amplifier Parameters of a Common-Collector Amplifier EEE2146 Mcelectncs Ccut Analyss and Desgn Expement MIC2 MIC2: Inestgatn f Amplfe Paametes f a Cmmn-Cllect Amplfe Ttal Pecentage: 5% (Fm 40% Cusewk Mak) 1. Objecte T nestgate the ltage and cuent gans and

More information

6. Cascode Amplifiers and Cascode Current Mirrors

6. Cascode Amplifiers and Cascode Current Mirrors 6. Cascde plfes and Cascde Cuent Ms Seda & Sth Sec. 7 (MOS ptn (S&S 5 th Ed: Sec. 6 MOS ptn & ne fequency espnse ECE 0, Fall 0, F. Najabad Cascde aplfe s a ppula buldn blck f ICs Cascde Cnfuatn CG stae

More information

Correspondence Analysis & Related Methods

Correspondence Analysis & Related Methods Coespondence Analyss & Related Methods Ineta contbutons n weghted PCA PCA s a method of data vsualzaton whch epesents the tue postons of ponts n a map whch comes closest to all the ponts, closest n sense

More information

Wp/Lmin. Wn/Lmin 2.5V

Wp/Lmin. Wn/Lmin 2.5V UNIVERITY OF CALIFORNIA Cllege f Engneerng Department f Electrcal Engneerng and Cmputer cences Andre Vladmrescu Hmewrk #7 EEC Due Frday, Aprl 8 th, pm @ 0 Cry Prblem #.5V Wp/Lmn 0.0V Wp/Lmn n ut Wn/Lmn.5V

More information

Announcements Candidates Visiting Next Monday 11 12:20 Class 4pm Research Talk Opportunity to learn a little about what physicists do

Announcements Candidates Visiting Next Monday 11 12:20 Class 4pm Research Talk Opportunity to learn a little about what physicists do Wed., /11 Thus., /1 Fi., /13 Mn., /16 Tues., /17 Wed., /18 Thus., /19 Fi., / 17.7-9 Magnetic Field F Distibutins Lab 5: Bit-Savat B fields f mving chages (n quiz) 17.1-11 Pemanent Magnets 18.1-3 Mic. View

More information

Active Load. Reading S&S (5ed): Sec. 7.2 S&S (6ed): Sec. 8.2

Active Load. Reading S&S (5ed): Sec. 7.2 S&S (6ed): Sec. 8.2 cte La ean S&S (5e: Sec. 7. S&S (6e: Sec. 8. In nteate ccuts, t s ffcult t fabcate essts. Instea, aplfe cnfuatns typcally use acte las (.e. las ae w acte eces. Ths can be ne usn a cuent suce cnfuatn,.e.

More information

LEAP FROG TECHNIQUE. Operational Simulation of LC Ladder Filters ECEN 622 (ESS) TAMU-AMSC

LEAP FROG TECHNIQUE. Operational Simulation of LC Ladder Filters ECEN 622 (ESS) TAMU-AMSC LEAP FOG TEHNQUE Opeatnal Smulatn f L Ladde Fltes L pttype lw senstvty One fm f ths technque s called Leapf Technque Fundamental Buldn Blcks ae - nteats - Secnd-de ealzatns Fltes cnsdeed - LP - BP - HP

More information

Electric potential energy Electrostatic force does work on a particle : Potential energy (: i initial state f : final state):

Electric potential energy Electrostatic force does work on a particle : Potential energy (: i initial state f : final state): Electc ptental enegy Electstatc fce des wk n a patcle : v v v v W = F s = E s. Ptental enegy (: ntal state f : fnal state): Δ U = U U = W. f ΔU Electc ptental : Δ : ptental enegy pe unt chag e. J ( Jule)

More information

Tian Zheng Department of Statistics Columbia University

Tian Zheng Department of Statistics Columbia University Haplotype Tansmsson Assocaton (HTA) An "Impotance" Measue fo Selectng Genetc Makes Tan Zheng Depatment of Statstcs Columba Unvesty Ths s a jont wok wth Pofesso Shaw-Hwa Lo n the Depatment of Statstcs at

More information

MEM202 Engineering Mechanics Statics Course Web site:

MEM202 Engineering Mechanics Statics Course Web site: 0 Engineeing Mechanics - Statics 0 Engineeing Mechanics Statics Cuse Web site: www.pages.dexel.edu/~cac54 COUSE DESCIPTION This cuse cves intemediate static mechanics, an extensin f the fundamental cncepts

More information

OBJECTIVE To investigate the parallel connection of R, L, and C. 1 Electricity & Electronics Constructor EEC470

OBJECTIVE To investigate the parallel connection of R, L, and C. 1 Electricity & Electronics Constructor EEC470 Assignment 7 Paallel Resnance OBJECTIVE T investigate the paallel cnnectin f R,, and C. EQUIPMENT REQUIRED Qty Appaatus 1 Electicity & Electnics Cnstuct EEC470 1 Basic Electicity and Electnics Kit EEC471-1

More information

Optimization Frequency Design of Eddy Current Testing

Optimization Frequency Design of Eddy Current Testing 5th WSEAS Int. Cnfeence n Appled Electagnetcs, Weless and Optcal Cuncatns, Tenefe, Span, Decebe 14-16, 2007 127 Optzatn Fequency Desgn f Eddy Cuent Testng NAONG MUNGKUNG 1, KOMKIT CHOMSUWAN 1, NAONG PIMPU

More information

Selective Convexity in Extended GDEA Model

Selective Convexity in Extended GDEA Model Appled Mathematcal Scences, Vl. 5, 20, n. 78, 386-3873 Selectve nvet n Etended GDEA Mdel Sevan Shaee a and Fahad Hssenadeh Ltf b a. Depatment f Mathematcs, ehan Nth Banch, Islamc Aad Unvest, ehan, Ian

More information

A. Thicknesses and Densities

A. Thicknesses and Densities 10 Lab0 The Eath s Shells A. Thcknesses and Denstes Any theoy of the nteo of the Eath must be consstent wth the fact that ts aggegate densty s 5.5 g/cm (ecall we calculated ths densty last tme). In othe

More information

Summary chapter 4. Electric field s can distort charge distributions in atoms and molecules by stretching and rotating:

Summary chapter 4. Electric field s can distort charge distributions in atoms and molecules by stretching and rotating: Summa chapte 4. In chapte 4 dielectics ae discussed. In thse mateials the electns ae nded t the atms mlecules and cannt am fee thugh the mateial: the electns in insulats ae n a tight leash and all the

More information

Work, Energy, and Power. AP Physics C

Work, Energy, and Power. AP Physics C k, Eneg, and Pwe AP Phsics C Thee ae man diffeent TYPES f Eneg. Eneg is expessed in JOULES (J) 4.19 J = 1 calie Eneg can be expessed me specificall b using the tem ORK() k = The Scala Dt Pduct between

More information

Multistage Median Ranked Set Sampling for Estimating the Population Median

Multistage Median Ranked Set Sampling for Estimating the Population Median Jounal of Mathematcs and Statstcs 3 (: 58-64 007 ISSN 549-3644 007 Scence Publcatons Multstage Medan Ranked Set Samplng fo Estmatng the Populaton Medan Abdul Azz Jeman Ame Al-Oma and Kamaulzaman Ibahm

More information

Example

Example hapte Exaple.6-3. ---------------------------------------------------------------------------------- 5 A single hllw fibe is placed within a vey lage glass tube. he hllw fibe is 0 c in length and has a

More information

5/20/2011. HITT An electron moves from point i to point f, in the direction of a uniform electric field. During this displacement:

5/20/2011. HITT An electron moves from point i to point f, in the direction of a uniform electric field. During this displacement: 5/0/011 Chapte 5 In the last lectue: CapacitanceII we calculated the capacitance C f a system f tw islated cnducts. We als calculated the capacitance f sme simple gemeties. In this chapte we will cve the

More information

A) N B) 0.0 N C) N D) N E) N

A) N B) 0.0 N C) N D) N E) N Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 1 Q1. Five identical pint chages each with chage =10 nc ae lcated at the cnes f a egula hexagn, as shwn in Figue 1. Find the magnitude f the net electic fce

More information

Application of Net Radiation Transfer Method for Optimization and Calculation of Reduction Heat Transfer, Using Spherical Radiation Shields

Application of Net Radiation Transfer Method for Optimization and Calculation of Reduction Heat Transfer, Using Spherical Radiation Shields Wld Applied Sciences Junal (4: 457-46, 00 ISSN 88-495 IDOSI Publicatins, 00 Applicatin f Net Radiatin Tansfe Methd f Optimizatin and Calculatin f Reductin Heat Tansfe, Using Spheical Radiatin Shields Seyflah

More information

Optimization of the Electron Gun with a Permanent Ion Trap

Optimization of the Electron Gun with a Permanent Ion Trap 4.3.-178 Optmzatn f the Electn Gun wth a Pemanent In Tap We Le Xabng Zhang Jn Dng Fe Dpla Technlg R&D CenteSutheat Unvet Nangjng Chna Danel den Engelen Pduct and Pce Develpment(PPD)LG.Phlp Dpla 5600 MD

More information

Chapter Fifiteen. Surfaces Revisited

Chapter Fifiteen. Surfaces Revisited Chapte Ffteen ufaces Revsted 15.1 Vecto Descpton of ufaces We look now at the vey specal case of functons : D R 3, whee D R s a nce subset of the plane. We suppose s a nce functon. As the pont ( s, t)

More information

Circuits Op-Amp. Interaction of Circuit Elements. Quick Check How does closing the switch affect V o and I o?

Circuits Op-Amp. Interaction of Circuit Elements. Quick Check How does closing the switch affect V o and I o? Crcuts Op-Amp ENGG1015 1 st Semester, 01 Interactn f Crcut Elements Crcut desgn s cmplcated by nteractns amng the elements. Addng an element changes vltages & currents thrughut crcut. Example: clsng a

More information

ME 3600 Control Systems Frequency Domain Analysis

ME 3600 Control Systems Frequency Domain Analysis ME 3600 Cntl Systems Fequency Dmain Analysis The fequency espnse f a system is defined as the steady-state espnse f the system t a sinusidal (hamnic) input. F linea systems, the esulting utput is itself

More information

ICRA: Incremental Cycle Reduction Algorithm for optimizing multi-constrained multicast routing

ICRA: Incremental Cycle Reduction Algorithm for optimizing multi-constrained multicast routing ICRA: Incemental Cycle Reductn Algthm f ptmzng mult-cnstaned multcast utng Nauel Ben Al HANA Reseach Gup, ENI, Unvesty f Manuba, Tunsa nauel.benal@ens.nu.tn Mkls Mlna INA, Unvesty f Rennes 1, Fance mlna@sa.f

More information

Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach

Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach Cst, evenue and pft effcency measuement n DEA: A dectnal dstance functn appach Besh K. Sah a, Mahmd Mehdlzad b, Kau Tne c a Xave Insttute f Management, Bhubaneswa 75 03, Inda b Depatment f Mathematcs,

More information

CHAPTER GAUSS'S LAW

CHAPTER GAUSS'S LAW lutins--ch 14 (Gauss's Law CHAPTE 14 -- GAU' LAW 141 This pblem is ticky An electic field line that flws int, then ut f the cap (see Figue I pduces a negative flux when enteing and an equal psitive flux

More information

Generating Functions, Weighted and Non-Weighted Sums for Powers of Second-Order Recurrence Sequences

Generating Functions, Weighted and Non-Weighted Sums for Powers of Second-Order Recurrence Sequences Geneatng Functons, Weghted and Non-Weghted Sums fo Powes of Second-Ode Recuence Sequences Pantelmon Stăncă Aubun Unvesty Montgomey, Depatment of Mathematcs Montgomey, AL 3614-403, USA e-mal: stanca@studel.aum.edu

More information

Mining Inexact Spatial Patterns

Mining Inexact Spatial Patterns Mnng Inexact patal attens engyu Hng Cdnated cence Labaty nvesty f Illns at bana-champagn bana, IL 680 Emal: hng@fp.uuc.edu Abstact Ths k ppses the methdlgy f autmatcally mdelng and mnng nexact spatal pattens.

More information

THE MINING ACT RE! 41P12SWSI2*

THE MINING ACT RE! 41P12SWSI2* Mnsty f Natual Resuces THE MINING ACT RE! 41P1SWSI* T the Recde f...g.rqup.lnb... l MURGLD RESURCES INC. l, ***.-***.x*..**...*.**...,... k...,... 4... (... name f Recded Hlde CHESTER...Mnng Dvsn, T-95...

More information

ANALOG ELECTRONICS DR NORLAILI MOHD NOH

ANALOG ELECTRONICS DR NORLAILI MOHD NOH 24 ANALOG LTRONIS lass 5&6&7&8&9 DR NORLAILI MOHD NOH 3.3.3 n-ase cnfguatn V V Rc I π π g g R V /p sgnal appled t. O/p taken f. ted t ac gnd. The hybd-π del pdes an accuate epesentatn f the sall-sgnal

More information

A) (0.46 î ) N B) (0.17 î ) N

A) (0.46 î ) N B) (0.17 î ) N Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 1 Q1. Thee chages, 1 = =.0 μc and Q = 4.0 μc, ae fixed in thei places as shwn in Figue 1. Find the net electstatic fce n Q due t 1 and.

More information

Electric Charge. Electric charge is quantized. Electric charge is conserved

Electric Charge. Electric charge is quantized. Electric charge is conserved lectstatics lectic Chage lectic chage is uantized Chage cmes in incements f the elementay chage e = ne, whee n is an intege, and e =.6 x 0-9 C lectic chage is cnseved Chage (electns) can be mved fm ne

More information

Consider the simple circuit of Figure 1 in which a load impedance of r is connected to a voltage source. The no load voltage of r

Consider the simple circuit of Figure 1 in which a load impedance of r is connected to a voltage source. The no load voltage of r 1 Intductin t Pe Unit Calculatins Cnside the simple cicuit f Figue 1 in which a lad impedance f L 60 + j70 Ω 9. 49 Ω is cnnected t a vltage suce. The n lad vltage f the suce is E 1000 0. The intenal esistance

More information

ME311 Machine Design

ME311 Machine Design ME311 Machne Desgn Lectue 8: Cylnes W Dnfel Nv017 Fafel Unvesty Schl f Engneeng Thn-Walle Cylnes (Yu aleay cvee ths n Bee & Jhnstn.) A essuze cylne s cnsee t be Thn-Walle f ts wall thckness s less than.5%

More information

Section 4.2 Radians, Arc Length, and Area of a Sector

Section 4.2 Radians, Arc Length, and Area of a Sector Sectin 4.2 Radian, Ac Length, and Aea f a Sect An angle i fmed by tw ay that have a cmmn endpint (vetex). One ay i the initial ide and the the i the teminal ide. We typically will daw angle in the cdinate

More information

2/4/2012. τ = Reasoning Strategy 1. Select the object to which the equations for equilibrium are to be applied. Ch 9. Rotational Dynamics

2/4/2012. τ = Reasoning Strategy 1. Select the object to which the equations for equilibrium are to be applied. Ch 9. Rotational Dynamics /4/ Ch 9. Rtatna Dynamcs In pue tansatna mtn, a pnts n an bject tae n paae paths. ces an Tques Net ce acceeatn. What causes an bject t hae an angua acceeatn? TORQUE 9. The ctn ces an Tques n Rg Objects

More information

(5) Furthermore, the third constraint implies the following equation: (6)

(5) Furthermore, the third constraint implies the following equation: (6) T-Element Refactng System f Gaussan and Annula-Gaussan Beams Tansfmatn Abdallah K. Che *, Nabl I. Khachab, Mahmud K. Habb Electcal Engneeng Depatment, Cllege f Engneeng and Petleum, Kuat Unvesty, P. O.

More information

Physics 11b Lecture #2. Electric Field Electric Flux Gauss s Law

Physics 11b Lecture #2. Electric Field Electric Flux Gauss s Law Physcs 11b Lectue # Electc Feld Electc Flux Gauss s Law What We Dd Last Tme Electc chage = How object esponds to electc foce Comes n postve and negatve flavos Conseved Electc foce Coulomb s Law F Same

More information

Section 3: Detailed Solutions of Word Problems Unit 1: Solving Word Problems by Modeling with Formulas

Section 3: Detailed Solutions of Word Problems Unit 1: Solving Word Problems by Modeling with Formulas Sectn : Detaled Slutns f Wrd Prblems Unt : Slvng Wrd Prblems by Mdelng wth Frmulas Example : The factry nvce fr a mnvan shws that the dealer pad $,5 fr the vehcle. If the stcker prce f the van s $5,, hw

More information

P 365. r r r )...(1 365

P 365. r r r )...(1 365 SCIENCE WORLD JOURNAL VOL (NO4) 008 www.scecncewoldounal.og ISSN 597-64 SHORT COMMUNICATION ANALYSING THE APPROXIMATION MODEL TO BIRTHDAY PROBLEM *CHOJI, D.N. & DEME, A.C. Depatment of Mathematcs Unvesty

More information

Spring/Summer 2011 Volume 16 Issue 2. The Professional Journal of the National

Spring/Summer 2011 Volume 16 Issue 2. The Professional Journal of the National Spng/Summe 2011 Vlume 16 Issue 2 The Pfessnal Junal f the atnal etwk f Ealy Language Leanng Gvng Kds a Can D Atttude BY ADIE JACOBSE T he questn gng nt ths actn eseach was, "Hw can a language teache encuage

More information

More Effective Optimum Synthesis of Path Generating Four-Bar Mechanisms

More Effective Optimum Synthesis of Path Generating Four-Bar Mechanisms Junal f Multdscplnay Engneeng Scence and Technlgy (JMEST) ISSN: 59- Vl. Issue 5, May - 5 Me Effectve Optmum Synthess f Path Geneatng Fu-Ba Mechansms Wen-Y Ln Depatment f Mechancal Engneeng De Ln Insttute

More information

CHAPTER 24 GAUSS LAW

CHAPTER 24 GAUSS LAW CHAPTR 4 GAUSS LAW LCTRIC FLUX lectic flux is a measue f the numbe f electic filed lines penetating sme suface in a diectin pependicula t that suface. Φ = A = A csθ with θ is the angle between the and

More information

Exercises for Frequency Response. ECE 102, Fall 2012, F. Najmabadi

Exercises for Frequency Response. ECE 102, Fall 2012, F. Najmabadi Eecses Fequency espnse EE 0, Fall 0, F. Najabad Eecse : Fnd the d-band an and the lwe cut- equency the aple belw. µ n (W/ 4 A/, t 0.5, λ 0, 0 µf, and µf Bth capacts ae lw- capacts. F. Najabad, EE0, Fall

More information

CAUTION: Do not install damaged parts!!!

CAUTION: Do not install damaged parts!!! Yu satisfactin is imptant t us, please let us help! If yu have any questins cncens duing the installatin, u suppt epesentatives ae available t assist yu. Please call: 1-877-769-3765 Live Chat at www.aptseies.cm

More information

CAUTION: Do not install damaged parts!!!

CAUTION: Do not install damaged parts!!! Yu satisfactin is imptant t us, please let us help! If yu have any questins cncens duing the installatin, u suppt epesentatives ae available t assist yu. Please call: 1-877-769-3765 Live Chat at www.aptseies.cm

More information

The Gradient and Applications This unit is based on Sections 9.5 and 9.6, Chapter 9. All assigned readings and exercises are from the textbook

The Gradient and Applications This unit is based on Sections 9.5 and 9.6, Chapter 9. All assigned readings and exercises are from the textbook The Gadient and Applicatins This unit is based n Sectins 9.5 and 9.6 Chapte 9. All assigned eadings and eecises ae fm the tetbk Objectives: Make cetain that u can define and use in cntet the tems cncepts

More information

Relevance feedback and query expansion. Goal: To refine the answer set by involving the user in the retrieval process (feedback/interaction)

Relevance feedback and query expansion. Goal: To refine the answer set by involving the user in the retrieval process (feedback/interaction) Relevance feedback and quey epansin Gal: T efine the answe set by invlving the use in the etieval pcess (feedback/inteactin) Lcal Methds (adust the use queies) Relevance feedback Pseud ( Blind) Relevance

More information

The Coastal Seaspace Sector Design and Allocation Problem

The Coastal Seaspace Sector Design and Allocation Problem The Catal Seapace Sect Degn and Allcatn Pblem Ban J. Lunday 1 Hanf D. Sheal 2 Ken E. Lunday 3 1 Depatment f Mathematcal Scence Unted State Mltay Academy 2 Gad Depatment f Indutal and Sytem Engneeng gna

More information

V. Principles of Irreversible Thermodynamics. s = S - S 0 (7.3) s = = - g i, k. "Flux": = da i. "Force": = -Â g a ik k = X i. Â J i X i (7.

V. Principles of Irreversible Thermodynamics. s = S - S 0 (7.3) s = = - g i, k. Flux: = da i. Force: = -Â g a ik k = X i. Â J i X i (7. Themodynamcs and Knetcs of Solds 71 V. Pncples of Ievesble Themodynamcs 5. Onsage s Teatment s = S - S 0 = s( a 1, a 2,...) a n = A g - A n (7.6) Equlbum themodynamcs detemnes the paametes of an equlbum

More information

Unifying Principle for Active Devices: Charge Control Principle

Unifying Principle for Active Devices: Charge Control Principle ES 330 Electncs II Supplemental Tpc #1 (August 2015) Unfyng Pncple f Actve Devces: hage ntl Pncple Dnald Estech An actve devce s an electn devce, such as a tansst, capable f delveng pwe amplfcatn by cnvetng

More information

gravity r2,1 r2 r1 by m 2,1

gravity r2,1 r2 r1 by m 2,1 Gavtaton Many of the foundatons of classcal echancs wee fst dscoveed when phlosophes (ealy scentsts and atheatcans) ted to explan the oton of planets and stas. Newton s ost faous fo unfyng the oton of

More information

8 Baire Category Theorem and Uniform Boundedness

8 Baire Category Theorem and Uniform Boundedness 8 Bae Categoy Theoem and Unfom Boundedness Pncple 8.1 Bae s Categoy Theoem Valdty of many esults n analyss depends on the completeness popety. Ths popety addesses the nadequacy of the system of atonal

More information

Optimization Methods: Linear Programming- Revised Simplex Method. Module 3 Lecture Notes 5. Revised Simplex Method, Duality and Sensitivity analysis

Optimization Methods: Linear Programming- Revised Simplex Method. Module 3 Lecture Notes 5. Revised Simplex Method, Duality and Sensitivity analysis Optmzaton Meods: Lnea Pogammng- Revsed Smple Meod Module Lectue Notes Revsed Smple Meod, Dualty and Senstvty analyss Intoducton In e pevous class, e smple meod was dscussed whee e smple tableau at each

More information

The Greatest Deviation Correlation Coefficient and its Geometrical Interpretation

The Greatest Deviation Correlation Coefficient and its Geometrical Interpretation By Rudy A. Gdeon The Unvesty of Montana The Geatest Devaton Coelaton Coeffcent and ts Geometcal Intepetaton The Geatest Devaton Coelaton Coeffcent (GDCC) was ntoduced by Gdeon and Hollste (987). The GDCC

More information

Lecture #2 : Impedance matching for narrowband block

Lecture #2 : Impedance matching for narrowband block Lectue # : Ipedance atching f nawband blck ichad Chi-Hsi Li Telephne : 817-788-848 (UA) Cellula phne: 13917441363 (C) Eail : chihsili@yah.c.cn 1. Ipedance atching indiffeent f bandwidth ne pat atching

More information

FEEDBACK AMPLIFIERS. β f

FEEDBACK AMPLIFIERS. β f FEEDBC MPLFES X - X X X * What negatve eedback? ddng the eedback gnal t the nput a t patally cancel the nput gnal t the ample. * What eedback? Takng a ptn the gnal avng at the lad and eedng t back t the

More information

School of Chemical & Biological Engineering, Konkuk University

School of Chemical & Biological Engineering, Konkuk University Schl f Cheical & Bilgical Engineeing, Knkuk Univesity Lectue 7 Ch. 2 The Fist Law Thecheisty Pf. Y-Sep Min Physical Cheisty I, Sping 2008 Ch. 2-2 The study f the enegy tansfeed as heat duing the cuse f

More information

Electric Fields and Electric Forces

Electric Fields and Electric Forces Cpyight, iley 006 (Cutnell & Jhnsn 9. Ptential Enegy Chapte 9 mgh mgh GPE GPE Electic Fields and Electic Fces 9. Ptential Enegy 9. Ptential Enegy 9. The Electic Ptential Diffeence 9. The Electic Ptential

More information

Mathematical Modeling & Analysis of Brake Pad for Wear Characteristics

Mathematical Modeling & Analysis of Brake Pad for Wear Characteristics Intenatnal Cnfeence n Ideas, Impact and Innvatn n Mechancal Engneeng (ICIIIME 07 ISSN: -869 Vlume: 5 Issue: 6 048 056 Mathematcal Mdelng & Analyss f Bake Pad f Wea Chaactestcs S. R. Kakad, R.M. Me, D.

More information

Chem 204A, Fall 2004, Mid-term (II)

Chem 204A, Fall 2004, Mid-term (II) Frst tw letters f yur last name Last ame Frst ame McGll ID Chem 204A, Fall 2004, Md-term (II) Read these nstructns carefully befre yu start tal me: 2 hurs 50 mnutes (6:05 PM 8:55 PM) 1. hs exam has ttal

More information

Chapter 3, Solution 1C.

Chapter 3, Solution 1C. COSMOS: Cmplete Onlne Slutns Manual Organzatn System Chapter 3, Slutn C. (a If the lateral surfaces f the rd are nsulated, the heat transfer surface area f the cylndrcal rd s the bttm r the tp surface

More information

Summary 7. ELECTROMAGNETIC JOINT. ROTATING MAGNETIC FIELD. SPACE-PHASOR THEORY... 2

Summary 7. ELECTROMAGNETIC JOINT. ROTATING MAGNETIC FIELD. SPACE-PHASOR THEORY... 2 uay 7. ELECTROMAGETIC JOIT. ROTATIG MAGETIC FIELD. PACE-PHAOR THEORY... 7.1 ELECTROMAGETIC JOIT... 7. UMER OF POLE... 4 7. DITRIUTED WIDIG... 5 7.4 TORQUE EXPREIO... 6 7.5 PACE PHAOR... 7 7.6 THREE-PHAE

More information

-' DATE PERIOD DATE PERIOD. Midpoint and Distance Formulas Find the midpoint of each line segment with endpoints at the given coordinates.

-' DATE PERIOD DATE PERIOD. Midpoint and Distance Formulas Find the midpoint of each line segment with endpoints at the given coordinates. z OJ "S ' PEROD PEROD Sklls Pac:tce Pac:tce Mdpnt and Dstance Fmulas Mdpnt and Dstance Fmulas Fnd the mdpnt f lne segmt wth dpnts at the gv cdnates Fnd the mdpnt f lne segmt wth dpnts at the gv cdnates

More information

INVERSE QUANTUM STATES OF HYDROGEN

INVERSE QUANTUM STATES OF HYDROGEN INVERSE QUANTUM STATES OF HYDROGEN Rnald C. Bugin Edgecmbe Cmmunity Cllege Rcky Munt, Nth Calina 780 bugin@edgecmbe.edu ABSTRACT The pssible existence f factinal quantum states in the hydgen atm has been

More information

Subjects discussed: Aircraft Engine Noise : Principles; Regulations

Subjects discussed: Aircraft Engine Noise : Principles; Regulations 16.50 Lectue 36 Subjects discussed: Aicaft Engine Nise : Pinciples; Regulatins Nise geneatin in the neighbhds f busy aipts has been a seius pblem since the advent f the jet-pweed tanspt, in the late 1950's.

More information

Analytical Solution to Diffusion-Advection Equation in Spherical Coordinate Based on the Fundamental Bloch NMR Flow Equations

Analytical Solution to Diffusion-Advection Equation in Spherical Coordinate Based on the Fundamental Bloch NMR Flow Equations Intenatinal Junal f heetical and athematical Phsics 5, 5(5: 4-44 OI:.593/j.ijtmp.555.7 Analtical Slutin t iffusin-advectin Equatin in Spheical Cdinate Based n the Fundamental Blch N Flw Equatins anladi

More information

Data envelopment analysis (DEA) Thirty years on

Data envelopment analysis (DEA) Thirty years on Avalable nlne at www.scencedect.cm Eupean Junal f Opeatnal Reseach 19 (009) 1 17 Invted Revew Data envelpment analyss (DEA) Thty yeas n Wade D. Ck a, *, Lay M. Sefd b a Depatment f Opeatns Management and

More information

PHYSICS 536 Experiment 12: Applications of the Golden Rules for Negative Feedback

PHYSICS 536 Experiment 12: Applications of the Golden Rules for Negative Feedback PHYSICS 536 Experment : Applcatns f the Glden Rules fr Negatve Feedback The purpse f ths experment s t llustrate the glden rules f negatve feedback fr a varety f crcuts. These cncepts permt yu t create

More information

Learning the structure of Bayesian belief networks

Learning the structure of Bayesian belief networks Lectue 17 Leanng the stuctue of Bayesan belef netwoks Mlos Hauskecht mlos@cs.ptt.edu 5329 Sennott Squae Leanng of BBN Leanng. Leanng of paametes of condtonal pobabltes Leanng of the netwok stuctue Vaables:

More information

Set of square-integrable function 2 L : function space F

Set of square-integrable function 2 L : function space F Set of squae-ntegable functon L : functon space F Motvaton: In ou pevous dscussons we have seen that fo fee patcles wave equatons (Helmholt o Schödnge) can be expessed n tems of egenvalue equatons. H E,

More information

Lucas Imperfect Information Model

Lucas Imperfect Information Model Lucas Imerfect Infrmatn Mdel 93 Lucas Imerfect Infrmatn Mdel The Lucas mdel was the frst f the mdern, mcrfundatns mdels f aggregate suly and macrecnmcs It bult drectly n the Fredman-Phels analyss f the

More information

Solution: (a) C 4 1 AI IC 4. (b) IBC 4

Solution: (a) C 4 1 AI IC 4. (b) IBC 4 C A C C R A C R C R C sin 9 sin. A cuent f is maintaine in a single cicula lp f cicumfeence C. A magnetic fiel f is iecte paallel t the plane f the lp. (a) Calculate the magnetic mment f the lp. (b) What

More information

Physics 111. Exam #1. January 26, 2018

Physics 111. Exam #1. January 26, 2018 Physics xam # Januay 6, 08 ame Please ead and fllw these instuctins caefully: Read all pblems caefully befe attempting t slve them. Yu wk must be legible, and the ganizatin clea. Yu must shw all wk, including

More information

If there are k binding constraints at x then re-label these constraints so that they are the first k constraints.

If there are k binding constraints at x then re-label these constraints so that they are the first k constraints. Mathematcal Foundatons -1- Constaned Optmzaton Constaned Optmzaton Ma{ f ( ) X} whee X {, h ( ), 1,, m} Necessay condtons fo to be a soluton to ths mamzaton poblem Mathematcally, f ag Ma{ f ( ) X}, then

More information

_J _J J J J J J J J _. 7 particles in the blue state; 3 particles in the red state: 720 configurations _J J J _J J J J J J J J _

_J _J J J J J J J J _. 7 particles in the blue state; 3 particles in the red state: 720 configurations _J J J _J J J J J J J J _ Dsrder and Suppse I have 10 partcles that can be n ne f tw states ether the blue state r the red state. Hw many dfferent ways can we arrange thse partcles amng the states? All partcles n the blue state:

More information

Combustion Chamber. (0.1 MPa)

Combustion Chamber. (0.1 MPa) ME 354 Tutial #10 Winte 001 Reacting Mixtues Pblem 1: Detemine the mle actins the pducts cmbustin when ctane, C 8 18, is buned with 00% theetical ai. Als, detemine the dew-pint tempeatue the pducts i the

More information

hitt Phy2049: Magnetism 6/10/2011 Magnetic Field Units Force Between Two Parallel Currents Force Between Two Anti-Parallel Currents

hitt Phy2049: Magnetism 6/10/2011 Magnetic Field Units Force Between Two Parallel Currents Force Between Two Anti-Parallel Currents 6/0/0 Phy049: Magsm Last lectue: t-avat s and Ampee s law: Magc eld due t a staght we Cuent lps (whle bts)and slends Tday: emnde and aaday s law. htt Tw lng staght wes pece the plane f the pape at vetces

More information

Physics 207 Lecture 16

Physics 207 Lecture 16 Physcs 07 Lectue 6 Goals: Lectue 6 Chapte Extend the patcle odel to gd-bodes Undestand the equlbu of an extended object. Analyze ollng oton Undestand otaton about a fxed axs. Eploy consevaton of angula

More information

CIRCLE YOUR DIVISION: Div. 1 (9:30 am) Div. 2 (11:30 am) Div. 3 (2:30 pm) Prof. Ruan Prof. Naik Mr. Singh

CIRCLE YOUR DIVISION: Div. 1 (9:30 am) Div. 2 (11:30 am) Div. 3 (2:30 pm) Prof. Ruan Prof. Naik Mr. Singh Frst CIRCLE YOUR DIVISION: Dv. 1 (9:30 am) Dv. (11:30 am) Dv. 3 (:30 m) Prf. Ruan Prf. Na Mr. Sngh Schl f Mechancal Engneerng Purdue Unversty ME315 Heat and Mass ransfer Eam #3 Wednesday Nvember 17 010

More information

Feedback Principle :-

Feedback Principle :- Feedback Prncple : Feedback amplfer s that n whch a part f the utput f the basc amplfer s returned back t the nput termnal and mxed up wth the nternal nput sgnal. The sub netwrks f feedback amplfer are:

More information

HOW TO TEACH THE FUNDAMENTALS OF INFORMATION SCIENCE, CODING, DECODING AND NUMBER SYSTEMS?

HOW TO TEACH THE FUNDAMENTALS OF INFORMATION SCIENCE, CODING, DECODING AND NUMBER SYSTEMS? 6th INTERNATIONAL MULTIDISCIPLINARY CONFERENCE HOW TO TEACH THE FUNDAMENTALS OF INFORMATION SCIENCE, CODING, DECODING AND NUMBER SYSTEMS? Cecília Sitkuné Göömbei College of Nyíegyháza Hungay Abstact: The

More information

A Brief Guide to Recognizing and Coping With Failures of the Classical Regression Assumptions

A Brief Guide to Recognizing and Coping With Failures of the Classical Regression Assumptions A Bef Gude to Recognzng and Copng Wth Falues of the Classcal Regesson Assumptons Model: Y 1 k X 1 X fxed n epeated samples IID 0, I. Specfcaton Poblems A. Unnecessay explanatoy vaables 1. OLS s no longe

More information

5.1 Moment of a Force Scalar Formation

5.1 Moment of a Force Scalar Formation Outline ment f a Cuple Equivalent System Resultants f a Fce and Cuple System ment f a fce abut a pint axis a measue f the tendency f the fce t cause a bdy t tate abut the pint axis Case 1 Cnside hizntal

More information

Example 11: The man shown in Figure (a) pulls on the cord with a force of 70

Example 11: The man shown in Figure (a) pulls on the cord with a force of 70 Chapte Tw ce System 35.4 α α 100 Rx cs 0.354 R 69.3 35.4 β β 100 Ry cs 0.354 R 111 Example 11: The man shwn in igue (a) pulls n the cd with a fce f 70 lb. Repesent this fce actin n the suppt A as Catesian

More information

EXPERT JUDGMENT IN FORECASTING PRESIDENTIAL ELECTIONS: A PRELIMINARY EVALUATION. Alfred G. Cuzán and Randall J. Jones, Jr.

EXPERT JUDGMENT IN FORECASTING PRESIDENTIAL ELECTIONS: A PRELIMINARY EVALUATION. Alfred G. Cuzán and Randall J. Jones, Jr. EXPERT JUDGMENT IN FORECASTING PRESIDENTIAL ELECTIONS: A PRELIMINARY EVALUATION Alfed G. Cuzán and Randall J. Jnes, J. Pepaed f pesentatin at a Buchaest Dialgue cnfeence n Expet Knwledge, Pedictin, Fecasting:

More information

Design of Analog Integrated Circuits

Design of Analog Integrated Circuits Desgn f Analg Integrated Crcuts I. Amplfers Desgn f Analg Integrated Crcuts Fall 2012, Dr. Guxng Wang 1 Oerew Basc MOS amplfer structures Cmmn-Surce Amplfer Surce Fllwer Cmmn-Gate Amplfer Desgn f Analg

More information

Distinct 8-QAM+ Perfect Arrays Fanxin Zeng 1, a, Zhenyu Zhang 2,1, b, Linjie Qian 1, c

Distinct 8-QAM+ Perfect Arrays Fanxin Zeng 1, a, Zhenyu Zhang 2,1, b, Linjie Qian 1, c nd Intenatonal Confeence on Electcal Compute Engneeng and Electoncs (ICECEE 15) Dstnct 8-QAM+ Pefect Aays Fanxn Zeng 1 a Zhenyu Zhang 1 b Lnje Qan 1 c 1 Chongqng Key Laboatoy of Emegency Communcaton Chongqng

More information

Interest Rates and Inflation Stability:

Interest Rates and Inflation Stability: Inteest Rates and Inflaton Stablty: GV INVEST 09 Recent Expeence and the Cochane Ctque May 2017 João Lído Bezea Bsneto¹ In the last decade, the feld of monetay economcs has undegone a knd of foced evoluton.

More information

24-2: Electric Potential Energy. 24-1: What is physics

24-2: Electric Potential Energy. 24-1: What is physics D. Iyad SAADEDDIN Chapte 4: Electc Potental Electc potental Enegy and Electc potental Calculatng the E-potental fom E-feld fo dffeent chage dstbutons Calculatng the E-feld fom E-potental Potental of a

More information

March 15. Induction and Inductance Chapter 31

March 15. Induction and Inductance Chapter 31 Mach 15 Inductin and Inductance Chapte 31 > Fces due t B fields Lentz fce τ On a mving chage F B On a cuent F il B Cuent caying cil feels a tque = µ B Review > Cuents geneate B field Bit-Savat law = qv

More information

For now, let us focus on a specific model of neurons. These are simplified from reality but can achieve remarkable results.

For now, let us focus on a specific model of neurons. These are simplified from reality but can achieve remarkable results. Neural Networks : Dervaton compled by Alvn Wan from Professor Jtendra Malk s lecture Ths type of computaton s called deep learnng and s the most popular method for many problems, such as computer vson

More information