Electrical and Magnetic Properties of Polyaniline-Nickel Ferrite Composites. Karnataka, INDIA.
|
|
- Lynne Wells
- 5 years ago
- Views:
Transcription
1 t Intrntionl Journl on Emrging Thnologis (Spil Issu on ICRIET-2016) 7(2): (2016) ISSN No. (Print) : ISSN No. (Onlin) : Eltril n Mgnti Proprtis of Polynilin-Nikl Frrit Composits Aji Kumr S Molkri *, A D Shtkr **, Rghunn B *** n Sngshtty Klyn **** * Assistnt Profssor, Dprtmnt of Physis, Guru Nnk Dv Enginring Collg, BIDAR , Krntk, INDIA. ** Assistnt Profssor, Dprtmnt of Physis, Krntk Arts, Sin n Commr Collg, BIDAR , Krntk, INDIA. *** Assistnt Profssor, Dprtmnt of Physis, Govrnmnt First Gr Collg, BIDAR , Krntk, INDIA. **** Assoit Profssor, Dprtmnt of Physis, Bhmnn Khnr Institut of Thnology, BHALKI , Krntk, INDIA. (Corrsponing Author: Sngshtty Klyn) (Riv 29 Sptmr, 2016 Apt 25 Otor, 2016) (Pulish y Rsrh Trn, Wsit: ABSTRACT: Polynilin-Nikl frrit omposits with iffrnt wight prnt of NiF 2 (10, 30 n 50 wt %) wr prpr vi intrfil polymriztion using mmonium prsulpht s n oxint, whrs NiF 2 ws synthsiz y omustion rout. Th prpr smpls wr hrtriz using som thniqus suh s FTIR, XRD n SEM. FTIR sptr rvl th formtion of som intrtions twn polynilin n NiF 2 prtils. XRD rvls th rystllin phs of omposits. Th AC onutivity is stui s funtion of frquny t room tmprtur in th frquny rng 10 Hz to 10 6 Hz. Th AC onutivity inrss s th frquny inrs. Th mgnti proprtis of th smpls wr msur t room tmprtur using virting smpl mgntomtr (VSM) in th fil rng G to G. Th omposits show frromgnti hvior. Ky Wors: Polynilin, Nikl frrit, Composits, Conutivity, Mgnti sturtion. I. INTRODUCTION Conuting polymrs hv ttrt muh intrst us of thir mny promising thnologil pplitions [1]. Among ll, polynilin is on of th most wily us onuting polymrs us of its s to synthsis, low nsity, low ost, goo prossility, xllnt nvironmntl stility, n high ltril onutivity [2-6]. Polyniln hs lso n us in mny pplitions suh s ltromgnti intrfrn (EMI) shiling, light-mitting ios, rhrgl ttry, hmil snsor, orrosion vis n mirowv sorption [7 10]. Mny kins of mtrils n us s mgnti prt of th omposit mtrils, suh s γ-f 2 O 3 [11], ZnF 2 [12, 13], CoF 2 [14], Co 3 [15] n BF 12 O 19 [16]. Among mgnti mtrils, th spinl frrits xhiitrmrkl mgnti proprtis prtiulrly in rio-frquny rgion, physil flxiility, high ltril rsistivity, mhnil hrnss n hmil stility [17]. NiF 2 is n importnt mgnti frrit whih hs n foun its xtnsiv pplitions in ivrs rs suh s prmnnt mgnts, roring mi, Frro fluis n gs snsors. In this ppr, NiF 2 prtils wr prpr y omustion rout, n Polynilin-NiF 2 omposits wr thn synthsiz vi intrfil polymriztion mtho using mmonium prsulpht s n oxiizing gnt. Th strutur n morphology of th polynilin, NiF 2 prtils n polynilin-nif 2 omposits hv n invstigt through FTIR, XRD n SEM. Th frquny pnn of AC onutivity invstigt in th frquny rng 10 Hz to 10 6 Hz. Thmgntiproprtisrmsurusingvirtingsmpl mgntomtr (VSM) t room tmprtur in th fil rng of G to G. II. EXPERIMENTAL All hmils us for synthsis r nlytil rgnt (AR) gr. Anilin n hyrohlori i hv n purhs from Alrih hmils. Anilin ws oul istill for us. Ammonium prsulpht is purhs from Quligns. Nikl frrit prtils wr synthsiz y omustion rout. Doul istill wtr ws us throughout th work.
2 Molkri, Shtkr, Rghunn n Klyn 165 As prpr nikl frrit ws us for prprtion of polynilin omposits. Th smpls so otin r rush finly in th prsn of ton mium in gt mortr n pross into irulr pllts of 10 mm imtr n thiknss vrying from 1 to 2 mm y pplying prssur of 90 MP using hyruli prss. For onutivity msurmnts, th pllts r ot with silvr pst on ithr si of th surfs to provi ttr ltril ontts. Synthsis of Polynilin. Th synthsis of polynilin ws s on mixing quous solution of nilin, hyrohlori n mmonium prsulpht t room tmprtur, follow y th sprtion of polynilin hyrohlori pripitt y filtrtion n rying. Anilin hyrohlori (quimolr volums of nilin n hyrohlori i) is issolv in oul istill wtr in volumtri flsk to 100 ml of solution. Ammonium prsulpht (0.25M) ws issolv in wtr lso to 100 ml solution n thn kpt for 1 hour t room tmprtur (25 o C), thn mix in kr, stirr mhnilly n lft t rst for omplt polymriztion. Aftr 24 hours th polynilin pripitt is ollt on filtr, wsh with 0.2M HCl n similrly with ton. Finlly, th rsultnt polynilin hyrohlori powr is ri in ir n thn vuum t 60 o C to hiv onstnt mss. Synthsis of NiF 2 prtils (Comustion rout). Nikl frrit prtils wr prpr y, known quntity of nikl slt n iron slt ws mix thoroughly n is groun wll with polyvinyl lohol in 1:5 in pstl n mortr. Th rtion mss ws trnsfrr in to ruil initilly urnt in n ltril ovn for omplt volution of th fums. Ni slt Mtl slts mixtur F slt (1:5) Rtion mixtur Complt omustion Crystllin prout NiF 2 prtils (rown olor) PVA (Ful) Fig. 1. Flow hrt: Synthsis of NiF 2 Prtils. Th rsultnt rsiu ws ht ontinuously for omplt omustion. Th rtion ws omplt within 30 minuts to form rown olor rystllin NiF 2 is form. On ooling to room tmprtur ron impuritis in th frrit smpl is rmov y trting with ton. Th ron flowts on th ton is nt n vport th ton. Th vrious stps involv in hmil synthsis of NiF 2 prtil is shown in flow hrt (figur 1). Synthsis of Polynilin-NiF 2 omposits. Th Polynilin-NiF 2 omposits wr prpr vi intrfil polymriztion mtho with iffrnt wight prntg of NiF 2 (10, 30 n 50 wt %). On grm of nilin ws issolv in 40 ml of CHCl M mmonium prsulpht ws issolv in 1M HCl n th NiF 2 prtils r to th ov mixtur of quous n orgni phs. Aftr 5 minuts rk grn pripitt form slowly t th intrf n thn grully iffus into quous phs. Aftr 24 hours, th ntir quous phs ws fill homognously with rk grn olor film, orgni lyr osrv shows orng olor u to th formtion of nilin oligomrs. Th quous phs ws thn ollt n wsh with thnol n wtr to rmov th unrt nilin. Th rsiu of polymr thus otin is purifi n ri in vuum ovn t 40 o C for 36 hours. Th ri polymr omposit smpl ws us for struturl hrtriztion n furthr us to stuy th ltril n mgnti proprtis. III. CHARACTERIZATION Th ov synthsiz smpls wr struturlly n morphologilly hrtriz y using iffrnt thniqus lik FTIR, XRD n SEM. Th FTIR sptr of smpls wr ror on ThrmoNiolt, Avtr 370 sptromtr in KBr mium t room tmprtur. Th X-ry iffrtion pttrns of th prpr smpls wr otin y mploying Brukr AXS D8 vn X-ry iffrtomtr using CuK α rition (λ=1.5418a o ) in th 2θ rng 20 o to 80 o. Th surf morphplogy ofpolynilin, NiF 2 prtils n polynilin-nif 2 omposits wr stui y using Jol mol JSM-6390 LV snning ltron mirosop (SEM). To msur th AC onutivity, th pllts of th prpr smpls wr ot with silvr pst on ithr si ws hl twn two nominlly spring lo oppr plts n th AC prmtrs wr msur using N4L-PSM 1735 NumtriQ progrmml LCR mtr in frquny rng 10 to 10 6 Hz. Th mgntiztion msurmnts wr rri out t room tmprtur using virting smpl mgntomtr (VSM) Lkshor VSM-7410 with mximum fil of G to G. IV. RESULTS AND DISCUSSION A.Infrr sptr Th IR sptr of NiF 2 prtils, polynilin n polynilin-nif 2 (10, 30 n 50 wt %) omposits r shown in figur2.
3 Molkri, Shtkr, Rghunn n Klyn 166 Figur 2() shows IR sptr of polynilin.th hrtristi pks of polynilin our t 1564, 1478, 1301, 1244, 1137, 808 n 702 m -1. Th pks t 1564 n m -1 r ttriut to th hrtristi C-C strthing of th quinoi n nznoirings, th pks t 1301 n 1244 m -1 r ssign to C-N strthing of th nznoi ring, th ro pk t 1137 m -1 whih is sri s ltroni-lik n is ssoit with virtion mo [18] n th pk t 808 n 702 m -1 r ttriut to th out of ning of N-H n C-H on in romti rings rsptivly. Th IR sptr of NiF 2 prtils (Fig. 2), th min pk t 546 m -1 is u to intrinsi strthing virtions of mtl t ttrhrl sit nth pk t 468 m -1 is u to othrl-mtl strthing virtions. Th IR sptr of polynilin-nif 2 (10, 30 n 50 wt %) omposits (fig.2 -) shows th pks of th omposits shift to highr frqunis. This inits tht thr is som intrtion twn NiF 2 prtils n polynilin kon. (4 4 4) rystl plns. All th pks mth with th hrtristi rfltion of NiF 2 (JCPDS Cr No ). Th XRD pttrns of polynilin- NiF 2 omposits (Fig. 3-3) xhiit oth th hrtristi pks of NiF 2 n th ro iffrtion of polynilin. Ths rsults onfirm th formtion of polynilin-nif 2 omposits. In t n s ity o u n ts T r n s m itt n ( % ) Fig. 3. XRD pttrns of () Polynilin () NiF 2 n (-) polynilin-nif 2 omposits. C. SEM nlysis Th surf morphology of polynilin-nif 2 (10, 30 n 50 wt %) omposits ws invstigt y mns of SEM θ in grs Wv numr (m -1 ) Fig. 2. FTIR sptr of () Polynilin, () NiF 2 prtils n (-) polynilin-nif 2 omposits. B.X-ry iffrtion Th XRD pttrn of polynilin (Fig. 3) shows two ro pks ntr t 2θ=20.7 o n o, whih r sri to th prioiity prlll n prpniulr to th polymr hins, rsptivly [19-21]. Th XRD pttrn of NiF 2 prtils (Fig 3), th prominnt pks t 2θ= o, o, o, o, o, o, o n o orrspons to (2 2 0), (3 1 1), (4 0 0), (4 2 2), (5 1 1), (4 4 0), (6 2 2) n Fig. 4. SEM mirogrphs of polynilin-nif 2 (10, 30 n 50 wt %) omposits
4 Molkri, Shtkr, Rghunn n Klyn 167 Figur 4(-) givs th SEM mirogrphs of polynilin-nif 2 omposits, suggsting tht th polynilin is posit on th surf of NiF 2 prtils. V. ELECTRICAL PROPERTIES Figur 5( n ) shows th vrition of AC onutivity s funtion of frquny for th polynilin n polynilin-nif 2 (10, 30 n 50 wt %) omposits. From th fig 5() it is sn tht th onutivity of polynilin rmins onstnt up to 10 4 Hz ftr tht thr is inrs in onutivity t highr frqunis. Figur 5() shows th onutivity of polynilin-nif 2 omposits, it is sn tht th onutivity inrss grully for ll th omposits. Inrs onutivity my u to inrs hrg polriztion [22]. Among th omposits, 30 wt% shows th highr onutivity. VI. MAGNETIC PROPERTIES Figur 6 (-) shows room tmprtur mgntiztion urvs for Polynilin, NiF 2 n Polynilin- NiF 2 omposits. It hs n foun tht polynilin show imgnti hvior whrs NiF 2 prtils n polynilin-nif 2 omposits show frromgnti hvior. Th sturtion mgntiztion (M S ) of polynilin-nif 2 (10, 30 n 50 wt %) omposits inrs in frrit % in th polymr mtrix. Among th omposits, 30 wt% show low sturtion mgntiztion vlu of 0.97 mu g -1. Th sturtion mgntiztion (M S ), Rmnnt mgntiztion (M R ) with Coriv fil (H C ) for th smpls r list in tl1. 10 σ in S m x x x x x10-2 Polynilin Momnt/Mss ( mu g -1 ) AC onutivity ( S m -1 ) 1.0x Frquny in Hz Fig. 5. Vrition of AC onutivity with frquny for Polynilin. 3.2x x x x x x x x x x x x x x x x x10-6 polynilin - NiF 2 (10 wt%) omposit polynilin - NiF 2 (30 wt%) omposit polynilin - NiF 2 (50 wt%) omposit Frquny (Hz) Fig. 5. Vrition of AC onutivity with frquny forpolynilin-nif 2 omposits. Momnt/Mss ( mu g -1 ) Appli Fil (G) polynilin NiF 2 prtils polynilin - NiF 2 (10 wt%) omposit polynilin - NiF 2 (30 wt%) omposit polynilin - NiF 2 (50 wt%) omposit Appli Fil (G) Fig. 6. Mgntiztion urvs for () Polynilin, () NiF 2 n (-) Polynilin-NiF 2 omposits.
5 Molkri, Shtkr, Rghunn n Klyn 168 Tl 1: Mgnti prmtrs of Polynilin, NiF 2 prtils n polynilin-nif 2 omposits. Smpls M S in M R inmu H C in mu g -1 g -1 G Polynilin x NiF 2 prtils Polynilin-NiF (10 wt%) omposit Polynilin-NiF (30 wt%) omposit Polynilin-NiF 2 (50 wt%) omposit VII. CONCLUSIONS In summry, NiF 2 prtils n polynilin-nif 2 omposits hv n sussfully synthsiz y omustion rout n n intrfil polymriztion rsptivly. FTIR n XRD nlysis shows thr is som intrtion twn polynilin n NiF 2 prtils. Th AC onutivity inrs with inrs frquny, th omposits with 30 wt% of NiF 2 in polynilin show high onutivity. Th mgnti prmtrs suh s sturtion mgntiztion n orivity of omposits wr foun to pn on th wt % of NiF 2 prtils in polynilin. Th omposits showfrromgnti ntur. REFERENCES [1] T.A. Skothim, R.L. Elsnumr, J.R. Rynols, Hnookof Conuting Polymrs, son., Mrl Dkkr,Nw York, [2] Gospoinov N n Trlmzyn L, Prog. Polym. Si,23,1443, [3]. A.G,MDirmi, Currnt Appli Physis,Vol.1,pp-269, [4] L. Li, J. Jing, F. Xu, Mtrils Lttrs, Vol. 61, pp , [5]. R. Mthur, D. R. Shrm, S. R. Vr, N. Kumr, At mtr, Vol.49, pp , [6]. A.G. MDirmi, A.J. Epstin, Synthti Mtls, Vol. 69, pp-86-92, [7] T. Mkl, S. Pinim, T. Tk, S. Jussil, n H. Isotlo, Synthti Mtls,85, 1335, [8] S. Kuwt, S. Msui, H. Yonym, Eltrohim. At, 44, 4593, [9] J.Q. Kn, X.H. Pn, C. Chn, Biosns. Bioltron.19, 1635, [10] N. Ahm, A.G. MDirmi, Synthti Mtls,78,103, [11] Sy Khsim, S C Rghvnr, M Rvnsipp n M V N Amik Prs, Bull. Mtr.Si,Vol34, No 7, pp , [12] Aji Kumr S Molkri n SngshttyKlyn, IJRISET, Vol. 4, Issu 7, [13] Rmsh Ptil, Ashis S. Roy, Kopplkr R. Anilkumr, SrikntEkhlikr, Journl of Appli Polymr Sin, Vol. 121, , [14] G. D. Prsnn, H.S.Jynn, A.R. Lmni n S. Dsh, Synthti Mtls,161, , [15] BhrtiNnpur, SuhshKonwr, Mhsh Slunkh n ArtiNnpur, Journl of Composit Mtrils,0(0), 1-9, [16] P. Xu, X. J. Hn, J. J. Jing, X. H. Wng, X. D. Li, n A. H. Wn, J. Phys. Chm,111, 12603, [17] Hung X n Chn Z,Mtr. Rs. Bull.40, 105, [18] Quillr S, Lourn G, Lfrnt S n MDirmi A G, Phys. Rv. B50, 12496, [19] Moon Y B, Co Y, Smith P n Hgr A J, Polym. Commun,30, 196, [20] Fng W, Sun E, Fujii A, Wu H C, Niihr K n Yoshino K, Bull. Chm. So. Jpn,73, 2627, [21] Pougt J P, Jozfowiz, Epstin A J, Tng X n MDirmi A G, Mromoluls,24, 779, [22] Rjshkr B, Vishnuvrhn T K, Shshihr N, Stishkumr K B, Bsvrj C n Chnrshkhr M, IJREAS,5, 36, 2015.
Electronic Supplementary Information. Thermally Stable and Photoreactive Polylactides by the Terminal Conjugation of Bio-based Caffeic Acid
Supplmntry Mtril (ESI) for hmil ommunitions This journl is () Th Royl Soity of hmistry 2008 Eltroni Supplmntry Informtion Thrmlly Stbl n Photortiv Polyltis by th Trminl onjugtion of Bio-bs ffi Ai Trn Hng
More informationCSE 373: More on graphs; DFS and BFS. Michael Lee Wednesday, Feb 14, 2018
CSE 373: Mor on grphs; DFS n BFS Mihl L Wnsy, F 14, 2018 1 Wrmup Wrmup: Disuss with your nighor: Rmin your nighor: wht is simpl grph? Suppos w hv simpl, irt grph with x nos. Wht is th mximum numr of gs
More informationPre-concentration of some heavy metal ions with AlO HQ and AlO PHQ and their studies by FTIR and spectroscopy
Arin Journl o Chmistry (5) 8, 44 449 King Su Univrsity Arin Journl o Chmistry www.ksu.u.s www.sinirt.om REVIEW ARTICLE Pr-onntrtion o som hvy mtl ions with AlO HQ n AlO PHQ n thir stuis y FTIR n sptrosopy
More informationwith n-butylamine and n-octylamine
Originl pprs Prprtion o lnthnum phospht with n-utylmin n n-otylmin # Hiroki Ono, Kiihiro Asi Dprtmnt o Inormtis n Environmntl Sins, Kyoto Prturl Univrsity, 1-5, Shimogmo Nkrgi-yo, Skyo-ku, Kyoto 66-8522,
More informationSupporting Information
Supporting Informtion EGFR-Trgt Mtl Chlting Polymrs (MCPs) Hroring Multipl Pnnt PEG2K Chins for MiroPET/CT Imging of Ptint-Driv Pnrti Cnr Xnogrfts Yiji Lu 1,6, Amn J. Boyl 2,6, Ping-Jing Co 3, Dvi Hly
More informationGlucose Sensitivity of Boronic Acid Block Copolymers at Physiological ph
Eltroni Supporting Informtion for Gluos Snsitivity of Boroni Ai Blok Copolymrs t Physiologil p Dshish Roy n Brnt S. Sumrlin* * Dprtmnt of Chmistry n th Cntr for Drug Disovry, Dsign, n Dlivry Southrn Mthoist
More informationPage 1. Question 19.1b Electric Charge II Question 19.2a Conductors I. ConcepTest Clicker Questions Chapter 19. Physics, 4 th Edition James S.
ConTst Clikr ustions Chtr 19 Physis, 4 th Eition Jms S. Wlkr ustion 19.1 Two hrg blls r rlling h othr s thy hng from th iling. Wht n you sy bout thir hrgs? Eltri Chrg I on is ositiv, th othr is ngtiv both
More information1 Introduction to Modulo 7 Arithmetic
1 Introution to Moulo 7 Arithmti Bor w try our hn t solvin som hr Moulr KnKns, lt s tk los look t on moulr rithmti, mo 7 rithmti. You ll s in this sminr tht rithmti moulo prim is quit irnt rom th ons w
More informationWhy the Junction Tree Algorithm? The Junction Tree Algorithm. Clique Potential Representation. Overview. Chris Williams 1.
Why th Juntion Tr lgorithm? Th Juntion Tr lgorithm hris Willims 1 Shool of Informtis, Univrsity of Einurgh Otor 2009 Th JT is gnrl-purpos lgorithm for omputing (onitionl) mrginls on grphs. It os this y
More informationph controlled assembly of a polybutadiene poly(methacrylic acid) copolymer in water: packing considerations and kinetic limitations
Supplmtry Mtril (ESI) for Soft Mttr This jourl is Th Royl Soity of hmistry 2009 p otroll ssmly of polyuti poly(mthryli i) opolymr i wtr pkig osirtios kiti limittios hristi Fryhough, Athoy J. Ry, Giuspp
More informationIntramolecular Quaternization as Folding Strategy for the Synthesis of Catalytically Active Imidazolium-based Single Chain Nanoparticles
Supporting Informtion Intrmolulr Qutrniztion s Foling Strtgy for th Synthsis of Ctlytilly Ativ Imizolium-s Singl Chin Nnoprtils Romin Lmrt,, Ann-Lur Wirotius,, n Dnil Tton, * Lortoir Chimi s Polymèrs Orgniqus
More informationCSE 373: AVL trees. Warmup: Warmup. Interlude: Exploring the balance invariant. AVL Trees: Invariants. AVL tree invariants review
rmup CSE 7: AVL trs rmup: ht is n invrint? Mihl L Friy, Jn 9, 0 ht r th AVL tr invrints, xtly? Disuss with your nighor. AVL Trs: Invrints Intrlu: Exploring th ln invrint Cor i: xtr invrint to BSTs tht
More informationModule 2 Motion Instructions
Moul 2 Motion Instrutions CAUTION: Bor you strt this xprimnt, unrstn tht you r xpt to ollow irtions EXPLICITLY! Tk your tim n r th irtions or h stp n or h prt o th xprimnt. You will rquir to ntr t in prtiulr
More information12 - M G P L Z - M9BW. Port type. Bore size ø12, ø16 20/25/32/40/50/ MPa 10 C to 60 C (With no condensation) 50 to 400 mm/s +1.
ris - MP - Compt gui ylinr ø, ø, ø, ø, ø, ø, ø, ø ow to Orr Cln sris lif typ (with spilly trt sliing prts) Vuum sution typ (with spilly trt sliing prts) ir ylinr otry tutor - M P - - MW ll ushing ring
More informationDEVELOPING COMPUTER PROGRAM FOR COMPUTING EIGENPAIRS OF 2 2 MATRICES AND 3 3 UPPER TRIANGULAR MATRICES USING THE SIMPLE ALGORITHM
Fr Est Journl o Mthtil Sins (FJMS) Volu 6 Nur Pgs 8- Pulish Onlin: Sptr This ppr is vill onlin t http://pphjo/journls/jsht Pushp Pulishing Hous DEVELOPING COMPUTER PROGRAM FOR COMPUTING EIGENPAIRS OF MATRICES
More informationJournal of Solid Mechanics and Materials Engineering
n Mtrils Enginring Strss ntnsit tor of n ntrf Crk in Bon Plt unr Uni-Axil Tnsion No-Aki NODA, Yu ZHANG, Xin LAN, Ysushi TAKASE n Kzuhiro ODA Dprtmnt of Mhnil n Control Enginring, Kushu nstitut of Thnolog,
More informationAcoustic investigations on PbO Al 2 O 3 B 2 O 3 glasses doped with certain rare earth ions
Bull. Mtr. Si., Vol. 4, No. 1, Frury 001, pp. 63 68. Inin Amy of Sins. Aousti invstigtions on PO Al O 3 B O 3 glsss op with rtin rr rth ions M RAMI REDDY, S BANGARU RAJU n N VEERAIAH* Dprtmnt of Physis,
More informationConstructive Geometric Constraint Solving
Construtiv Gomtri Constrint Solving Antoni Soto i Rir Dprtmnt Llngutgs i Sistms Inormàtis Univrsitt Politèni Ctluny Brlon, Sptmr 2002 CGCS p.1/37 Prliminris CGCS p.2/37 Gomtri onstrint prolm C 2 D L BC
More informationBinomials and Pascal s Triangle
Binomils n Psl s Tringl Binomils n Psl s Tringl Curriulum R AC: 0, 0, 08 ACS: 00 www.mthltis.om Binomils n Psl s Tringl Bsis 0. Intif th prts of th polnomil: 8. (i) Th gr. Th gr is. (Sin is th highst
More informationECE COMBINATIONAL BUILDING BLOCKS - INVEST 13 DECODERS AND ENCODERS
C 24 - COMBINATIONAL BUILDING BLOCKS - INVST 3 DCODS AND NCODS FALL 23 AP FLZ To o "wll" on this invstition you must not only t th riht nswrs ut must lso o nt, omplt n onis writups tht mk ovious wht h
More informationPaths. Connectivity. Euler and Hamilton Paths. Planar graphs.
Pths.. Eulr n Hmilton Pths.. Pth D. A pth rom s to t is squn o gs {x 0, x 1 }, {x 1, x 2 },... {x n 1, x n }, whr x 0 = s, n x n = t. D. Th lngth o pth is th numr o gs in it. {, } {, } {, } {, } {, } {,
More informationAlgorithmic and NP-Completeness Aspects of a Total Lict Domination Number of a Graph
Intrntionl J.Mth. Comin. Vol.1(2014), 80-86 Algorithmi n NP-Compltnss Aspts of Totl Lit Domintion Numr of Grph Girish.V.R. (PES Institut of Thnology(South Cmpus), Bnglor, Krntk Stt, Ini) P.Ush (Dprtmnt
More informationWORKSHOP 6 BRIDGE TRUSS
WORKSHOP 6 BRIDGE TRUSS WS6-2 Workshop Ojtivs Lrn to msh lin gomtry to gnrt CBAR lmnts Bom fmilir with stting up th CBAR orinttion vtor n stion proprtis Lrn to st up multipl lo ss Lrn to viw th iffrnt
More informationC-201 Sheet Bar Measures 1 inch
Janine M. lexander, P.. P.. No. 9, L 0 N. PRK RO, SUIT 0 HOLLYWOO, LORI 0 PHON: (9) - X: (9) 08- No.: 9 I ST SRIPTION Y GT VLVS SHLL RSILINT ST, MNUTUR TO MT OR X TH RQUIRMNTS O WW 09 (LTST RVISION) N
More informationModule graph.py. 1 Introduction. 2 Graph basics. 3 Module graph.py. 3.1 Objects. CS 231 Naomi Nishimura
Moul grph.py CS 231 Nomi Nishimur 1 Introution Just lik th Python list n th Python itionry provi wys of storing, ssing, n moifying t, grph n viw s wy of storing, ssing, n moifying t. Bus Python os not
More informationPresent state Next state Q + M N
Qustion 1. An M-N lip-lop works s ollows: I MN=00, th nxt stt o th lip lop is 0. I MN=01, th nxt stt o th lip-lop is th sm s th prsnt stt I MN=10, th nxt stt o th lip-lop is th omplmnt o th prsnt stt I
More information(PP/2-1)x S(PP) SIGNAL CONTACTS 0.50 FRONT POLARIZATION KEY SEE TABLE DIM A ( 10.00) D D
IM #0. P[(+NN)/+] P(+NN) 0. PITH.0 PITH (/)x (NN/)x.. PITH (PP/)x (.) S[(PP/)+]... P POWR ONTTS P[(+NN)/] 0.0 RONT POLRIZTION KY S TL S SIGNL ONTTS S(PP/) IM.0 IM (.9) ROSS PS G R POSITION WHN ULL MT NOT...
More informationStudy of Physico-chemical Properties of Monel M-35-1 Nickel Alloy-fused Silica Metal Matrix Composite for Marine Application
Stuy of Physio-hmil Proprtis of Monl M-35-1 Nikl Alloy-fus Sili Mtl Mtrix Composit for Mrin Applition G. Purushothm 1, Jol Hmnth 2 Avill onlin t www.ijskros.om Inin Journl of Avns in Chmil Sin 4(3) (2016)
More informationMath 61 : Discrete Structures Final Exam Instructor: Ciprian Manolescu. You have 180 minutes.
Nm: UCA ID Numr: Stion lttr: th 61 : Disrt Struturs Finl Exm Instrutor: Ciprin nolsu You hv 180 minuts. No ooks, nots or lultors r llow. Do not us your own srth ppr. 1. (2 points h) Tru/Fls: Cirl th right
More informationnitrobenzyl chloride (99%, Aldrich), hexamethyldisilazane (HMDS, 99%, Aldrich),
Eltroni Supplmntry Mtril (ESI) or Chmil Communitions This ournl is Th Royl Soity o Chmistry 2012 Supportin inormtion Sl-hlin hyrol s on multivlnt -onin Jixi Cui, Aránzzu l Cmpo* Mx-Plnk-Institut ür Polymrorshun,
More informationNumbering Boundary Nodes
Numring Bounry Nos Lh MBri Empori Stt Univrsity August 10, 2001 1 Introution Th purpos of this ppr is to xplor how numring ltril rsistor ntworks ffts thir rspons mtrix, Λ. Morovr, wht n lrn from Λ out
More informationDesigning A Concrete Arch Bridge
This is th mous Shwnh ri in Switzrln, sin y Rort Millrt in 1933. It spns 37.4 mtrs (122 t) n ws sin usin th sm rphil mths tht will monstrt in this lsson. To pro with this lsson, lik on th Nxt utton hr
More informationThin Solid Films 544 (2013) Contents lists available at ScienceDirect. Thin Solid Films. journal homepage:
Thin Soli Films 544 (2013) 186 190 Contnts lists vill t SinDirt Thin Soli Films journl hompg: www.lsvir.om/lot/ts Mn(OH) 2 /multi-wll ron nnotu omposit thin ilms prpr y spry oting or lxil suprpitiv vis
More informationNefertiti. Echoes of. Regal components evoke visions of the past MULTIPLE STITCHES. designed by Helena Tang-Lim
MULTIPLE STITCHES Nrtiti Ehos o Rgl omponnts vok visions o th pst sign y Hln Tng-Lim Us vrity o stiths to rt this rgl yt wrl sign. Prt sping llows squr s to mk roun omponnts tht rp utiully. FCT-SC-030617-07
More informationSolutions for HW11. Exercise 34. (a) Use the recurrence relation t(g) = t(g e) + t(g/e) to count the number of spanning trees of v 1
Solutions for HW Exris. () Us th rurrn rltion t(g) = t(g ) + t(g/) to ount th numr of spnning trs of v v v u u u Rmmr to kp multipl gs!! First rrw G so tht non of th gs ross: v u v Rursing on = (v, u ):
More informationSynthesis and properties of a dually cleavable graft copolymer comprising pendant acetal linkages
Elctronic upplmntry Mtril (EI) or Polymr Chmistry This ournl is Th Royl ocity o Chmistry 2014 upporting Inormtion ynthsis n proprtis o ully clvl grt copolymr comprising pnnt ctl linkgs K Mio, Wi ho, Hunhun
More information(2) If we multiplied a row of B by λ, then the value is also multiplied by λ(here lambda could be 0). namely
. DETERMINANT.. Dtrminnt. Introution:I you think row vtor o mtrix s oorint o vtors in sp, thn th gomtri mning o th rnk o th mtrix is th imnsion o th prlllppi spnn y thm. But w r not only r out th imnsion,
More informationUsing the Printable Sticker Function. Using the Edit Screen. Computer. Tablet. ScanNCutCanvas
SnNCutCnvs Using th Printl Stikr Funtion On-o--kin stikrs n sily rt y using your inkjt printr n th Dirt Cut untion o th SnNCut mhin. For inormtion on si oprtions o th SnNCutCnvs, rr to th Hlp. To viw th
More informationAquauno Video 6 Plus Page 1
Connt th timr to th tp. Aquuno Vio 6 Plus Pg 1 Usr mnul 3 lik! For Aquuno Vio 6 (p/n): 8456 For Aquuno Vio 6 Plus (p/n): 8413 Opn th timr unit y prssing th two uttons on th sis, n fit 9V lklin ttry. Whn
More informationQUESTIONS BEGIN HERE!
Points miss: Stunt's Nm: Totl sor: /100 points Est Tnnss Stt Univrsity Dprtmnt o Computr n Inormtion Sins CSCI 2710 (Trno) Disrt Struturs TEST or Sprin Smstr, 2005 R this or strtin! This tst is los ook
More informationProperties of Hexagonal Tile local and XYZ-local Series
1 Proprtis o Hxgonl Til lol n XYZ-lol Sris Jy Arhm 1, Anith P. 2, Drsnmik K. S. 3 1 Dprtmnt o Bsi Sin n Humnitis, Rjgiri Shool o Enginring n, Thnology, Kkkn, Ernkulm, Krl, Ini. jyjos1977@gmil.om 2 Dprtmnt
More informationSupporting Information
Supporting Informtion Prision Synthsis of Imin-Funtionliz Rvrsil Mirogl Str Polymrs vi Dynmi Covlnt Cross-Linking of yrogn-boning Blok Copolymr Mills Yusuk Azum, Tky Trshim*, n Mitsuo Swmoto* Dprtmnt of
More informationCycles and Simple Cycles. Paths and Simple Paths. Trees. Problem: There is No Completely Standard Terminology!
Outlin Computr Sin 331, Spnnin, n Surphs Mik Joson Dprtmnt o Computr Sin Univrsity o Clry Ltur #30 1 Introution 2 3 Dinition 4 Spnnin 5 6 Mik Joson (Univrsity o Clry) Computr Sin 331 Ltur #30 1 / 20 Mik
More information, each of which is a tree, and whose roots r 1. , respectively, are children of r. Data Structures & File Management
nrl tr T is init st o on or mor nos suh tht thr is on sint no r, ll th root o T, n th rminin nos r prtition into n isjoint susts T, T,, T n, h o whih is tr, n whos roots r, r,, r n, rsptivly, r hilrn o
More informationPlanar Upward Drawings
C.S. 252 Pro. Rorto Tmssi Computtionl Gomtry Sm. II, 1992 1993 Dt: My 3, 1993 Sri: Shmsi Moussvi Plnr Upwr Drwings 1 Thorm: G is yli i n only i it hs upwr rwing. Proo: 1. An upwr rwing is yli. Follow th
More informationa b c cat CAT A B C Aa Bb Cc cat cat Lesson 1 (Part 1) Verbal lesson: Capital Letters Make The Same Sound Lesson 1 (Part 1) continued...
Progrssiv Printing T.M. CPITLS g 4½+ Th sy, fun (n FR!) wy to tch cpitl lttrs. ook : C o - For Kinrgrtn or First Gr (not for pr-school). - Tchs tht cpitl lttrs mk th sm souns s th littl lttrs. - Tchs th
More informationAPPLICATIONS OF THE LAPLACE-MELLIN INTEGRAL TRANSFORM TO DIFFERNTIAL EQUATIONS
Intrntionl Journl o Sintii nd Rrh Publition Volum, Iu 5, M ISSN 5-353 APPLICATIONS OF THE LAPLACE-MELLIN INTEGRAL TRANSFORM TO DIFFERNTIAL EQUATIONS S.M.Khirnr, R.M.Pi*, J.N.Slun** Dprtmnt o Mthmti Mhrhtr
More informationQUESTIONS BEGIN HERE!
Points miss: Stunt's Nm: Totl sor: /100 points Est Tnnss Stt Univrsity Dprtmnt of Computr n Informtion Sins CSCI 710 (Trnoff) Disrt Struturs TEST for Fll Smstr, 00 R this for strtin! This tst is los ook
More informationSEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES EZ SERVO EZSV17 WIRING DIAGRAM FOR BLDC MOTOR
0V TO 0V SUPPLY GROUN +0V TO +0V RS85 ONVRTR 9 TO OM PORT ON P TO P OM PORT US 9600 U 8IT, NO PRITY, STOP, NO FLOW TRL. OPTO SNSOR # GROUN +0V TO +0V GROUN RS85 RS85 OPTO SNSOR # PHOTO TRNSISTOR TO OTHR
More informationInfra-Red Study of Surface Carbonation on Polycrystalline Magnesium Hydroxide
Surf Crontion on Mgnsium Hyroxi Bull. Korn Chm. So. 2009, Vol. 30, No. 11 2567 Infr-R Stuy of Surf Crontion on Polyrystllin Mgnsium Hyroxi Hkyoung Kwon n Dong Gon Prk * Dprtmnt of Chmistry, Sookmyung Womn
More information# 1 ' 10 ' 100. Decimal point = 4 hundred. = 6 tens (or sixty) = 5 ones (or five) = 2 tenths. = 7 hundredths.
How os it work? Pl vlu o imls rprsnt prts o whol numr or ojt # 0 000 Tns o thousns # 000 # 00 Thousns Hunrs Tns Ons # 0 Diml point st iml pl: ' 0 # 0 on tnth n iml pl: ' 0 # 00 on hunrth r iml pl: ' 0
More informationMultipoint Alternate Marking method for passive and hybrid performance monitoring
Multipoint Altrnt Mrkin mtho or pssiv n hyri prormn monitorin rt-iool-ippm-multipoint-lt-mrk-00 Pru, Jul 2017, IETF 99 Giuspp Fiool (Tlom Itli) Muro Coilio (Tlom Itli) Amo Spio (Politnio i Torino) Riro
More informationCREATED USING THE RSC COMMUNICATION TEMPLATE (VER. 2.1) - SEE FOR DETAILS
uortig Iormtio: Pti moiitio oirmtio vi 1 MR: j 5 FEFEFKFK 8.6.. 8.6 1 13 1 11 1 9 8 7 6 5 3 1 FEFEFKFK moii 1 13 1 11 1 9 8 7 6 5 3 1 m - - 3 3 g i o i o g m l g m l - - h k 3 h k 3 Figur 1: 1 -MR or th
More information12. Traffic engineering
lt2.ppt S-38. Introution to Tltrffi Thory Spring 200 2 Topology Pths A tlommunition ntwork onsists of nos n links Lt N not th st of nos in with n Lt J not th st of nos in with j N = {,,,,} J = {,2,3,,2}
More informationGarnir Polynomial and their Properties
Univrsity of Cliforni, Dvis Dprtmnt of Mthmtis Grnir Polynomil n thir Proprtis Author: Yu Wng Suprvisor: Prof. Gorsky Eugny My 8, 07 Grnir Polynomil n thir Proprtis Yu Wng mil: uywng@uvis.u. In this ppr,
More information0.1. Exercise 1: the distances between four points in a graph
Mth 707 Spring 2017 (Drij Grinrg): mitrm 3 pg 1 Mth 707 Spring 2017 (Drij Grinrg): mitrm 3 u: W, 3 My 2017, in lss or y mil (grinr@umn.u) or lss S th wsit or rlvnt mtril. Rsults provn in th nots, or in
More informationb. How many ternary words of length 23 with eight 0 s, nine 1 s and six 2 s?
MATH 3012 Finl Exm, My 4, 2006, WTT Stunt Nm n ID Numr 1. All our prts o this prolm r onrn with trnry strings o lngth n, i.., wors o lngth n with lttrs rom th lpht {0, 1, 2}.. How mny trnry wors o lngth
More informationRegister Allocation. Register Allocation. Principle Phases. Principle Phases. Example: Build. Spills 11/14/2012
Rgistr Allotion W now r l to o rgistr llotion on our intrfrn grph. W wnt to l with two typs of onstrints: 1. Two vlus r liv t ovrlpping points (intrfrn grph) 2. A vlu must or must not in prtiulr rhitturl
More information12/3/12. Outline. Part 10. Graphs. Circuits. Euler paths/circuits. Euler s bridge problem (Bridges of Konigsberg Problem)
12/3/12 Outlin Prt 10. Grphs CS 200 Algorithms n Dt Struturs Introution Trminology Implmnting Grphs Grph Trvrsls Topologil Sorting Shortst Pths Spnning Trs Minimum Spnning Trs Ciruits 1 Ciruits Cyl 2 Eulr
More informationLecture 6 Thermionic Engines
Ltur 6 hrmioni ngins Rviw Rihrdson formul hrmioni ngins Shotty brrir nd diod pn juntion nd diod disussion.997 Copyright Gng Chn, MI For.997 Dirt Solr/hrml to ltril nrgy Convrsion WARR M. ROHSOW HA AD MASS
More information5/9/13. Part 10. Graphs. Outline. Circuits. Introduction Terminology Implementing Graphs
Prt 10. Grphs CS 200 Algorithms n Dt Struturs 1 Introution Trminology Implmnting Grphs Outlin Grph Trvrsls Topologil Sorting Shortst Pths Spnning Trs Minimum Spnning Trs Ciruits 2 Ciruits Cyl A spil yl
More informationIntegration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals
Intgrtion Continud Intgrtion y Prts Solving Dinit Intgrls: Ar Undr Curv Impropr Intgrls Intgrtion y Prts Prticulrly usul whn you r trying to tk th intgrl o som unction tht is th product o n lgric prssion
More informationTURFGRASS DISEASE RESEARCH REPORT J. M. Vargas, Jr. and R. Detweiler Department of Botany and Plant Pathology Michigan State University
I TURFGRASS DISEASE RESEARCH REPORT 9 J. M. Vrgs, Jr. n R. Dtwilr Dprtmnt f Btny n Plnt Pthlgy Mihign Stt Univrsity. Snw Ml Th 9 snw ml fungii vlutin trils wr nut t th Byn Highln Rsrt, Hrr Springs, Mihign
More informationBASIC CAGE DETAILS SHOWN 3D MODEL: PSM ASY INNER WALL TABS ARE COINED OVER BASE AND COVER FOR RIGIDITY SPRING FINGERS CLOSED TOP
MO: PSM SY SI TIS SOWN SPRIN INRS OS TOP INNR W TS R OIN OVR S N OVR OR RIIITY. R TURS US WIT OPTION T SINS. R (UNOMPRSS) RR S OPTION (S T ON ST ) IMNSIONS O INNR SIN TO UNTION WIT QU SM ORM-TOR (zqsp+)
More informationIn which direction do compass needles always align? Why?
AQA Trloy Unt 6.7 Mntsm n Eltromntsm - Hr 1 Complt t p ll: Mnt or s typ o or n t s stronst t t o t mnt. Tr r two typs o mnt pol: n. Wrt wt woul ppn twn t pols n o t mnt ntrtons low: Drw t mnt l lns on
More informationDecimals DECIMALS.
Dimls DECIMALS www.mthltis.o.uk ow os it work? Solutions Dimls P qustions Pl vlu o imls 0 000 00 000 0 000 00 0 000 00 0 000 00 0 000 tnths or 0 thousnths or 000 hunrths or 00 hunrths or 00 0 tn thousnths
More informationMechanical and thermal properties of extruded soy protein sheets
Polymr 42 (2001) 2569 2578 www.lsvir.nl/lot/polymr Mhnil n thrml proprtis of xtru soy protin shts J. Zhng, P. Mungr, J. Jn* Dprtmnt of Foo Sin n Humn Nutrition & Cntr for Crops Utiliztion Rsrh, Iow Stt
More informationSupporting Information
Supporting Informtion Control Synthesis of Tuulr Hyperrosslinke Polymers for Highly Porous Cron Nnotues Xioyn Wng, Pn Mu, Chong Zhng, Yu Chen, Jinghui Zeng, Feng Wng n Ji-Xing Jing *, Shnxi Key Lortory
More informationEE1000 Project 4 Digital Volt Meter
Ovrviw EE1000 Projt 4 Diitl Volt Mtr In this projt, w mk vi tht n msur volts in th rn o 0 to 4 Volts with on iit o ury. Th input is n nlo volt n th output is sinl 7-smnt iit tht tlls us wht tht input s
More informationThe University of Sydney MATH2969/2069. Graph Theory Tutorial 5 (Week 12) Solutions 2008
Th Univrsity o Syny MATH2969/2069 Grph Thory Tutoril 5 (Wk 12) Solutions 2008 1. (i) Lt G th isonnt plnr grph shown. Drw its ul G, n th ul o th ul (G ). (ii) Show tht i G is isonnt plnr grph, thn G is
More informationMRS BULLETIN VOLUME 33 FEBRUARY
In tu Hting Trnsmission Eltron Mirosopy Hiroysu Sk, Tko Kmino, Shigo Ari, n Ktsuhiro Sski Astrt Tmprtur is on of th most importnt ftors ffting th stt n hvior of mtrils. In situ hting trnsmission ltron
More informationChem 104A, Fall 2016, Midterm 1 Key
hm 104A, ll 2016, Mitrm 1 Ky 1) onstruct microstt tl for p 4 configurtion. Pls numrt th ms n ml for ch lctron in ch microstt in th tl. (Us th formt ml m s. Tht is spin -½ lctron in n s oritl woul writtn
More informationProblem solving by search
Prolm solving y srh Tomáš voo Dprtmnt o Cyrntis, Vision or Roots n Autonomous ystms Mrh 5, 208 / 3 Outlin rh prolm. tt sp grphs. rh trs. trtgis, whih tr rnhs to hoos? trtgy/algorithm proprtis? Progrmming
More informationVECTOR ANALYSIS APPLICATION IN ROTATING MAGNETIC FIELDS
22-578 VECTOR ANALYSIS APPLICATION IN ROTATING MAGNETIC FIELDS runo Osorno Dprtnt of Eltril And Coputr Enginring Cliforni Stt Univrsity Northridg 18111 Nordhoff St Northridg CA 9133-8436 Eil:runo@s.sun.du
More informationLiquid-phase oxidation of naphthalene with H 2 O 2 in the presence of ordered mesoporous V-m-Al 2 O 3 catalysts
J. Chm. Si. Vol. 129, No. 9, Sptmr 2017, pp. 1373 1380. Inin Amy o Sins DOI 10.1007/s12039-017-1344-9 REGULAR ARTICLE Liqui-phs oxition o nphthln with H 2 O 2 in th prsn o orr msoporous V-m-Al 2 O 3 tlysts
More informationCS September 2018
Loil los Distriut Systms 06. Loil los Assin squn numrs to msss All ooprtin prosss n r on orr o vnts vs. physil los: rport tim o y Assum no ntrl tim sour Eh systm mintins its own lol lo No totl orrin o
More informationPhysics 222 Midterm, Form: A
Pysis 222 Mitrm, Form: A Nm: Dt: Hr r som usul onstnts. 1 4πɛ 0 = 9 10 9 Nm 2 /C 2 µ0 4π = 1 10 7 tsl s/c = 1.6 10 19 C Qustions 1 5: A ipol onsistin o two r point-lik prtils wit q = 1 µc, sprt y istn
More informationMath 166 Week in Review 2 Sections 1.1b, 1.2, 1.3, & 1.4
Mt 166 WIR, Sprin 2012, Bnjmin urisp Mt 166 Wk in Rviw 2 Stions 1.1, 1.2, 1.3, & 1.4 1. S t pproprit rions in Vnn irm tt orrspon to o t ollowin sts. () (B ) B () ( ) B B () (B ) B 1 Mt 166 WIR, Sprin 2012,
More informationA PROPOSAL OF FE MODELING OF UNIDIRECTIONAL COMPOSITE CONSIDERING UNCERTAIN MICRO STRUCTURE
18 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS A PROPOSAL OF FE MODELING OF UNIDIRECTIONAL COMPOSITE CONSIDERING UNCERTAIN MICRO STRUCTURE Y.Fujit 1*, T. Kurshii 1, H.Ymtsu 1, M. Zo 2 1 Dpt. o Mngmnt
More informationA 4-state solution to the Firing Squad Synchronization Problem based on hybrid rule 60 and 102 cellular automata
A 4-stt solution to th Firing Squ Synhroniztion Prolm s on hyri rul 60 n 102 llulr utomt LI Ning 1, LIANG Shi-li 1*, CUI Shung 1, XU Mi-ling 1, ZHANG Ling 2 (1. Dprtmnt o Physis, Northst Norml Univrsity,
More informationSeven-Segment Display Driver
7-Smnt Disply Drivr, Ron s in 7-Smnt Disply Drivr, Ron s in Prolm 62. 00 0 0 00 0000 000 00 000 0 000 00 0 00 00 0 0 0 000 00 0 00 BCD Diits in inry Dsin Drivr Loi 4 inputs, 7 outputs 7 mps, h with 6 on
More informationTopological repulsion between domain walls in magnetic nanowires leading to the formation of bound states
Riv 5 F 22 Apt 28 Mr 22 Pulish My 22 DOI:.38/nomms88 Topologil rpulsion twn omin wlls in mgnti nnowirs ling to th formtion of oun stts Lu Thoms, Msmitsu Hyshi, Ri Moriy, Chrls Rttnr & Sturt Prkin H-to-h
More informationExam 1 Solution. CS 542 Advanced Data Structures and Algorithms 2/14/2013
CS Avn Dt Struturs n Algorithms Exm Solution Jon Turnr //. ( points) Suppos you r givn grph G=(V,E) with g wights w() n minimum spnning tr T o G. Now, suppos nw g {u,v} is to G. Dsri (in wors) mtho or
More informationPolygons POLYGONS.
Polgons PLYGNS www.mthltis.o.uk ow os it work? Solutions Polgons Pg qustions Polgons Polgon Not polgon Polgon Not polgon Polgon Not polgon Polgon Not polgon f g h Polgon Not polgon Polgon Not polgon Polgon
More informationV={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)}
s s of s Computr Sin & Enginring 423/823 Dsign n Anlysis of Ltur 03 (Chptr 22) Stphn Sott (Apt from Vinohnrn N. Vriym) s of s s r strt t typs tht r pplil to numrous prolms Cn ptur ntitis, rltionships twn
More informationLETTER. High-mobility three-atom-thick semiconducting films with wafer-scale homogeneity
LETTER oi:1.138/ntur14417 High-moility thr-tom-thik smionuting ilms with wr-sl homognity Kium Kng 1 *, in Xi *, Luji Hung 1, Yimo Hn, Pinshn Y. Hung, Kin Fi Mk 3,4, Chol-Joo Kim 1, Dvi Mullr,3 & Jiwoong
More informationDUET WITH DIAMONDS COLOR SHIFTING BRACELET By Leslie Rogalski
Dut with Dimons Brlt DUET WITH DIAMONDS COLOR SHIFTING BRACELET By Lsli Roglski Photo y Anrw Wirth Supruo DUETS TM from BSmith rt olor shifting fft tht mks your work tk on lif of its own s you mov! This
More informationGraph Isomorphism. Graphs - II. Cayley s Formula. Planar Graphs. Outline. Is K 5 planar? The number of labeled trees on n nodes is n n-2
Grt Thortil Is In Computr Sin Vitor Amhik CS 15-251 Ltur 9 Grphs - II Crngi Mllon Univrsity Grph Isomorphism finition. Two simpl grphs G n H r isomorphi G H if thr is vrtx ijtion V H ->V G tht prsrvs jny
More informationTangram Fractions Overview: Students will analyze standard and nonstandard
ACTIVITY 1 Mtrils: Stunt opis o tnrm mstrs trnsprnis o tnrm mstrs sissors PROCEDURE Skills: Dsriin n nmin polyons Stuyin onrun Comprin rtions Tnrm Frtions Ovrviw: Stunts will nlyz stnr n nonstnr tnrms
More informationCOMPLEXITY OF COUNTING PLANAR TILINGS BY TWO BARS
OMPLXITY O OUNTING PLNR TILINGS Y TWO RS KYL MYR strt. W show tht th prolm o trmining th numr o wys o tiling plnr igur with horizontl n vrtil r is #P-omplt. W uil o o th rsults o uquir, Nivt, Rmil, n Roson
More informationME 522 PRINCIPLES OF ROBOTICS. FIRST MIDTERM EXAMINATION April 19, M. Kemal Özgören
ME 522 PINCIPLES OF OBOTICS FIST MIDTEM EXAMINATION April 9, 202 Nm Lst Nm M. Kml Özgörn 2 4 60 40 40 0 80 250 USEFUL FOMULAS cos( ) cos cos sin sin sin( ) sin cos cos sin sin y/ r, cos x/ r, r 0 tn 2(
More informationOutline. 1 Introduction. 2 Min-Cost Spanning Trees. 4 Example
Outlin Computr Sin 33 Computtion o Minimum-Cost Spnnin Trs Prim's Alorithm Introution Mik Joson Dprtmnt o Computr Sin Univrsity o Clry Ltur #33 3 Alorithm Gnrl Constrution Mik Joson (Univrsity o Clry)
More informationb.) v d =? Example 2 l = 50 m, D = 1.0 mm, E = 6 V, " = 1.72 #10 $8 % & m, and r = 0.5 % a.) R =? c.) V ab =? a.) R eq =?
xmpl : An 8-gug oppr wr hs nomnl mtr o. mm. Ths wr rrs onstnt urrnt o.67 A to W lmp. Th nsty o r ltrons s 8.5 x 8 ltrons pr u mtr. Fn th mgntu o. th urrnt nsty. th rt vloty xmpl D. mm,.67 A, n N 8.5" 8
More informationAnalysis for Balloon Modeling Structure based on Graph Theory
Anlysis for lloon Moling Strutur bs on Grph Thory Abstrt Mshiro Ur* Msshi Ym** Mmoru no** Shiny Miyzki** Tkmi Ysu* *Grut Shool of Informtion Sin, Ngoy Univrsity **Shool of Informtion Sin n Thnology, hukyo
More informationGraphs. CSC 1300 Discrete Structures Villanova University. Villanova CSC Dr Papalaskari
Grphs CSC 1300 Disrt Struturs Villnov Univrsity Grphs Grphs r isrt struturs onsis?ng of vr?s n gs tht onnt ths vr?s. Grphs n us to mol: omputr systms/ntworks mthm?l rl?ons logi iruit lyout jos/prosss f
More informationImproving Union. Implementation. Union-by-size Code. Union-by-Size Find Analysis. Path Compression! Improving Find find(e)
POW CSE 36: Dt Struturs Top #10 T Dynm (Equvln) Duo: Unon-y-Sz & Pt Comprsson Wk!! Luk MDowll Summr Qurtr 003 M! ZING Wt s Goo Mz? Mz Construton lortm Gvn: ollton o rooms V Conntons twn t rooms (ntlly
More informationINTEGRALS. Chapter 7. d dx. 7.1 Overview Let d dx F (x) = f (x). Then, we write f ( x)
Chptr 7 INTEGRALS 7. Ovrviw 7.. Lt d d F () f (). Thn, w writ f ( ) d F () + C. Ths intgrls r clld indfinit intgrls or gnrl intgrls, C is clld constnt of intgrtion. All ths intgrls diffr y constnt. 7..
More informationObjectives 11/24/2009. Biosensor Integrated Spectroscopy for Pathogen Capture &D Detection. Pathogens tested
ARS-USDA n Puru Cntr for Foo Sfty Enginring July 27 Mrh 29 Biosnsor Intgrt Sptrosopy for Pthogn Cptur &D Dttion ti PIs: Iruyrj, J.; Mur, L.; n * Droy, C. Puru Univrsity; * Pnn Stt Univrsity Ojtivs Dvlop
More informationResearch Scholar, Vinoba Bhave University, Hazaribag, Jharkhand
Volum Issu July 0 ISSN: X Intrntionl Journl of Advnd Rsrh in Computr Sin nd Softwr Enginring Rsrh Ppr Avill onlin t: www.ijrss.om Dominting Funtion Thory from Nwton to Linitz s Approh of Indfinit Intgrtion
More informationSEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES A
7V TO 0V SUPPLY +7V TO +0V RS85 ONVRTR TO P OM PORT OR US US 9600 U 8IT, NO PRITY, STOP, NO FLOW TRL. 9 TO OM PORT ON P TO OTHR Z SRVOS OR Z STPPRS OPTO SNSOR # OPTO SNSOR # PHOTO TRNSISTOR OPTO SNSOR
More information