Chitosans as bioactive macromolecules to protect economically relevant crops from their main pathogens

Size: px
Start display at page:

Download "Chitosans as bioactive macromolecules to protect economically relevant crops from their main pathogens"

Transcription

1 Chitosns s iotiv mromoluls to prott onomilly rlvnt rops rom thir min pthogns Aljnro Flón 1, Ai T Roríguz 2, Migul A Rmírz 2, Dynir Rivro 2, Bnito Mrtínz 3, Jun C Crr 4, Dimy Costls 1, Aril Cruz 2, Luis G Gonzálz 5, Mrí C Jiménz 5, Lonl Jiménz 5, Iln Hrnánz 1, Dinvys Gonzáls 1, Rmon Márquz 1 1 Dprtmnto Fisiologí y Bioquími Vgtl Instituto Nionl Cinis Agríols, INCA L Hn, Cu 2 Estión xprimntl l Arroz Instituto Nionl Cinis Agríols Los Plios, Pinr l Río, Cu 3 Dprtmnto Protión Plnts Cntro Nionl Sni Agropuri, CENSA L Hn, Cu 4 Dprtmnto Biologí Clulr Vgtl Fult Agriultur, Univrsi Notr Dmm l Pix Nmur, Bélgi 5 Fult Agronomí Univrsi Grnm, Cu E- mil: llon@in.u.u ABSTRACT Stuis wr rri out s prt o th Agriultur Biothnology progrm, to prpr n hrtriz hmilly n iologilly irnt hitosns otin rom Cun lostr hitin. Chitosn polymrs wr sujt to i n nzymti hyrolysis y using low-ost ommril nzymti prprtions, n th rsulting oligoshri mixturs wr urthr hrtriz. Thir potntil ntimiroil tivitis wr lso vlut vrsus ungi n oomyts, lso tsting thir ility to inu nsiv n prottiv rsponss in too n ri plnts ginst two onomilly rlvnt psts, Phytophthor niotin n Pyriulri gris, rsptivly. With th i o intrntionl ollortion, irnt oligohitosns mixturs wr ompr or tivting nsiv rsponss in suspnsion ulturs o Ariopsis thlin lls. Ths rsults ring knowlg on th physil-hmil proprtis o th hitosns otin, suh s molr mss n tyltion gr, n thir inlun on tivting nsiv rsponss, th inhiition o growth in pthogns n th inution o rsistn in too n ri plnts. Som o ths hitosn rivtivs wr slt s possil tiv omponnts to prott oth typ o ultivrs, ing ppli t il-sl to vlut thir ts or th min nturl pthogns n ringing vry promising rsults. This rsrh llow us to stlish mthoology or prpring oligohitosns, n rsults shown inhr wr prt o BS, MS n PhD thss, n wr lso pulish in mor thn 20 sintii pprs n prsnt in mor thn 40 sintii onrns. Kywors: hitosn, nzymti hyrolysis, ntiungl tivity, inu rsistn, Phytophtor niotin REPORT Introution Highr plnts r l to initit nsiv rtions in rspons to pthogn s intions [1]. Thos rsponss r triggr whn th plnt rognizs svrl signls whih r rls s prouts o th mutul nzymti grtion o ll wlls o oth, th plnts n th pthogns [2]. Th rsulting oligoshris, lso known s oligoshrins, not only srv s primry signls o th nsiv rsponss, ut lso inlun othr iologil rsponss rgring vgtl growth n vlopmnt [3, 4]. Among oligoshrins, th ll wll ptins oligoglturonis, β-gluns, n th ungi ll wll hitin n hitosn rgmnts r potntil inurs o rsistn n prottion rom ivrs pthogns in plnts. Tht s th rson why thy r urrntly inlu s tiv omponnts in svrl prottiv prouts or griultur [3-6]. Chitin is linr polymr o N-tyl-gluosmin, n th son mor unnt nturl polymr tr llulos. It is oun on ungi ll wlls n xoskltons o rthropos s th min proution sour Corrsponing uthor worlwi, with mor thn 10 gigtons (1 x kg) prou pr yr. It is minly otin rom shrimp n r xoskltons, with vry smll proution rom lostr xoskltons [7]. Th lttr r isr in lrg mounts s yprout to th s to voi nvironmntl prolms, whih oul us to otin mromoluls highly pplil in miin, inustry n griultur [7]. Chitosn, th min hitin rivtiv, is linr polymr o gluosmin monomrs link y β 1-4 ons n it is otin y lklin tyltion. This pross prous polymr solul in ilut is, whih is vntgous ovr hitin or griulturl us. On this il, hitosns n thir rivtivs o lowr molulr wights oul ppli, s on thir provn iologil potntilitis, suh s signiint ntimiroil tivity on th growth n vlopmnt o ungi, tri n oomyts [5, 8]; prottion o plnts rom potntil pthogns n promotion o ultivr growth n vlopmnt [5, 6]. 1. Agrios GN How plnts n thmslvs ginst pthogns (Chptr six). In: Plnt Pthology. 5th., Nw York, USA: Ami Prss, 2005, p Esqurré-Tugyé MT, Bourt G, Dums B. Cll wll gring nzyms, inhiitory protins, n oligoshris prtiipt in th molulr ilogu twn plnts n pthogn. Plnt Physiol Biohm 2000;38: Rily BL, O Nill MA, Mohnn D. Ptins: strutur, iosynthsis, n oligoglturonis-rlt signling. Phytohmistry 2001;57: Shiuy N, Minmi E. Oligoshri signlling or nss rsponss in plnt. Physiol Mol Plnt Pthol 2001;59: Butist-Bños S, Hrnánz-Luzro AN, Vlázquz-l Vll MG, Hrnánz- Lópz M, Ait Brk E, Bosquz-Molin E, t l. Chitosn s potntil nturl ompoun to ontrol pr n posthrvst isss o hortiulturl ommoitis. Crop Prot 2006;25:

2 Aljnro Flón Roríguz t l. Rport Both, th irt ntimiroil tivity n th inution o nsiv rsponss ginst pthogns o hitosns, r inlun y th physil-hmil proprtis o th molul, inluing th tyltion gr (AD) n molulr wight (MW)[5, 9]. Th lowr AD o th givn hitosn polymr th highr inhiitory tivity on miroil growth is otin [5]. On th ontrry, rs rs in th MW o th givn hitosn my inrs or rs its inhiitory tivity on growth, pning on th spi [5, 10]. Ths typs o stuis r sr on oomyts, n thr r no stuis in litrtur nlyzing th inlun o ths two vrils on th vlopmnt o this gnus. Ths proprtis lso inlun th tivtion o nsiv rsponss in plnts. Kuss n oworkrs [11] monstrt tht prtil tyltion n rgmnttion o hitosns wr rquir or inuing H 2 in uumr. On th othr hn, rsults rom Vnr t l. [9] init tht hitosn polymrs with AD ovr 35% inu th highst Phnyllnin mmoni lys (PAL) n proxis (POD) lvls in wht lvs. Prvious works on th rol o AD n MW or hitosn-s inution o nsiv rsponss wr rri out only in isolt prts o pr- [9] or nononition [11] plnts ut nithr in omplt plnts nor in th prsn o pthogns. Evn whn thr r rports o th prottion o ulturs ginst pthogns y ministring irnt typs o hitosns [5, 12], th t o this ompoun on th Niotin tum-phytophthor niotin intrtion rmins to luit, ing only rport th prtil prottion ginst th Too Mosi Virus (TMV) y using oligohitosns mixturs [13]. Thror, thr ws no inormtion out th inution o rsistn ginst pthogns othr thn th TMV in too plnts, nor in th vlution o hitosn or inuing rsponss in Cun too n ri spis. Givn th urrnt ontxt o Cun griultur, it is highly rlvnt to hv non-toxi nturl prout in origin, prou rom ntionl sours n y orl mns, s rplmnt ltrntiv or th xpnsiv hmil pstiis ing import. Th Group o Biotiv Prouts (GPB) t th Ntionl Institut o Agriulturl Sins (INCA) hs xprin in vloping mthoologis to prpr oligoshrins rom ntionl rw mtrils n vluting thm s hormon sustituts or in vitro ultur, to promot root nhoring, soyn symiosis improvmnt n inution o plnt rsistn ginst isss. Svrl o ths rsults hv n lry ptnt. Bs on wht mntion ov, our rsrh o hitosns ous on th ollowing ojtivs: vlopmnt n pttion o mthoologis to otin hitosns polymrs n oligomrs rom ntionllyprou lostr hitin, whih show potntil iologil tivity in plnts; to vlut th t o hitosns o irnt AD n MW in th in vitro vlopmnt o pthogns o onomilly rlvnt rops; to vlut th t o hitosns in inuing rsistn in suspnsion ulturs o Ariopsis lls, n in too n ri plnts inoult with pthogns n; to tst promising ompouns on il xprimnts or oth rops. Mtrils n mthos Prprtion o hitosn poly- n oligoshris Chitosn polymrs wr otin y si tyltion with NOH t rtor sl, rom ntionlly otin lostr hitin. Th mthoology ormrly sri to otin shrimp hitin ws pt or lostr hitin prossing t th GBP (Group o iotiv prouts) o INCA. Stuis wr rri out y pplying hitosn hyrolysis with ommril nzymti mixs n using typil nzymology thniqus, suh s: th inlun o irnt sustrts t irnt onntrtions, ph, tmprtur n othrs. Chitosn mixturs wr hrtriz using mss sptromtry thniqu (MALDI-TOF) or th irst tim to trmin oligoshri AD n MW simultnously. Ai hyrolysis [14] ws lso tst to otin oligohitosns. Anlysis o th t o hitosns on pthogn growth Th t o hitosn-s ompouns on mylil growth, sporultion n spors viility wr nlyz. Pthogns wr isolt rom ri n too plnts, n ultur in ptri ishs ill with soli ultur mi (PDA, PDA-V8 n/or Czpk Dox ultur mi) ontining th tst hitosn ompouns. Spors wr inut with hitosns prior to ulturing thm on hitosn-r mi or y irt grmintion o spors in hitosn-ontining quous solutions. Evlution o hitosn-inu plnt rsistn Th tivtion o nsiv rsponss ws stui in suspnsion ulturs o Ariopsis thlin lls, n in lvs n roots o too n ri plnts. PAL inution n th inrs o H 2 proution in rspons to hitosn oligoshris wr trmin. Aoring to h xprimnt, β 1-3 glyns, hitins, PAL n POD nzymti tivitis wr ssss in lvs n roots o too n ri plnts. Aitionlly, th inution o rsistn y pplying hitosns o irnt AD n MW ws trmin in too slings ginst P. niotin t iossy sl. It ws lso tst in ri, y immrsing th ss into solution ontining hitosn polymrs n oligomrs prior to sowing, n urthr inoulting th lvs o th rsulting slings with Pyriulri gris. Fil-sl pplition o hitosns Fil xprimnts wr rri out in too (vrity Hn 92) n ri (vrity J-104) ultivrs unr proutiv onitions. Too plnts wr ppli with ompouns, y olir sprsion o hitosn po-lymr ollowing plnt trnsplnttion, n ri ultivrs wr stlish y immrsing th ss into solution ontining hitosn polymr n hitosn hyrolyst prior to sowing. Th nturl intion y mjor pthogns or ths two rops ws vlut s init on th instrutivs or intion sls n nlyss. Rsults n isussion A mthoology similr to tht sri or otining hitosn rom shrimp hitin ws us to otin 6. Shrthhnr RG, Nirnjn Rj S, Shtty NP, Amruthsh KN, Shtty HS. A Chitosn ormultion ElxTM inus owny milw iss rsistn n growth promotion in prl millt. Crop Prot 2004;23: Prshnth KVH, Thrnthn RN. Chitin/ hitosn: moiitions n thir unlimit pplition potntil-n ovrviw. Trns Foo Si Thnol 2007;18: Xu J, Zho X, Hn X, Du Y. Antiungl tivity o oligohitosn ginst Phytophthor psii n othr plnt pthogni ungi in vitro. Pst Biohm Physiol 2007;87: Vnr P, Vrum KM, Domr A, El Guri NE, Morshhr BM. Comprison o th ility o prtilly N-tylt hitosns n hitooligoshris to liit rsistn rtions in wht lvs. Plnt Physiol 1998;118: Jon Y-J, Shhii F, Kim SK. Prprtion o hitin n hitosn oligomrs n thir pplitions in physiologil untionl oos. Foo Rv Int 2000;16: Kuss H, Jlik W, Domr A, Sigrist J. Prtil tyltion o hitosn n onitioning prio r ssntil or liittion o H 2 in sur-r tissus rom vrious plnts. In: Domr A, Rorts GAF, Vårum KM (s), Avns in Chitin Sin II, Lyon, Frn,: J Anré Pulishr, 1997, p Trotl-Aziz P, Courht M, Vrnt G, Aziz A. Chitosn stimults ns rtions in grpvin lvs n inhiits vlopmnt o Botrytis inr. Eur J Plnt Pthol 2006;114: Zho XM, Sh XP, Du YG, Ling XM. Inution o ntivirl rsistn n stimulry t y oligohitosn in too. Pst Biohm Physiol 2007;87: Biotnologí Apli 2010; Vol.27, No.4

3 Aljnro Flón Roríguz t l. Rport hitosn polymrs t nk sl. Th thniqu ws moii oring to prvious stuy o th inlun o hitin/lkli rtio, tmprtur n rtion tim on th proprtis o th hitosn otin. Rsults show tht it is possil to gnrt high molr mss hitosns unr homognous prprtion onitions (low tmprtur n n lmost quivlnt lkli/hitin rtio), with minor moiition o its sonry strutur n with yils twn 74 n 80% o th sour hitin. All ths r onomilly rlvnt or n iint us in griultur. On th othr hn, oth ii n nzymti hyrolyss wr stui to gnrt low MW hitosn ompouns. Currntly, th nzymti hyrolysis is prrr ovr th ii on, u to its squn spiiity or lysis n th rsptiv ormtion o prouts [7]. Nvrthlss, th osts o th nzyms us must low nough to mk it orl or griulturl pplition n to otin prouts with th propr iologil tivity. Th irst stuis using this strtgy show tht it is possil to gnrt hitosn hyrolyzts hving prottiv tivity in plnts, y using low ost, ommril nzym mixs, to improv th iologil tivity o th otin hitosn rivtivs. In our stuy, iv nzymti omplxs wr ssy; llowing us to slt th most qut n it ws possil to optimiz th hyrolysis onitions (Figur 1). Hyrolyzts n thir mixs wr otin with high ontnt o iotiv oligoshris n ontining th slt omplx (Ptinx Ultr SPL) [14]. Th iologil tivity o hitosn oligoshris pns on its strutur. Othrwis, prvious rports Tl 1. Physil-hmil proprtis o th hitosn polymrs n oligomrs us in iologil ssys ginst Phytophthor niotin, n th inution o too slings rsistn ginst th sm pthogn Typ o Chitosn Polymr Polymr Oligomrs Arvition Prntg o tyltion gr 14. Crr JC, Vn Cutsm P. Prprtion o hitooligo-shris with gr o polymriztion highr thn 6 y i or nzymti grtion o hitosn. Biohm Eng J 2005;25: Molr mss (g/mol -1 ) Polymriztion gr Q x Q x OLG Dtrmin y inrr sptrosopy Dtrmin y MALDI-TOF. Mn molr mss s trmin y visosimtry. Avrg gr o polymriztion, lult rom th mn molr mss trmin y visosimtry n th monomr molr mss. A Enzym tivity (U/mL) i not rss th inlun o AD on th tivity o quito-oligoshris whil in othrs th AD ws not trmin or miguous mthos wr us to hrtriz it. In this work, hitosn ws polymriz y ii or nzymti hyrolysis, y using th Ptinx Ultr SPL omplx. Th rsulting oligoshris wr sltivly pripitt in mthnol solutions n rigorously hrtriz y mss sptromtry (MALDI-TOF). Th irns in th polymriztion gr (PD) n AD wr wll stlish (Tl 1). Th ii hyrolysis prou rgmnts with PD up to 16 gluosmin rsius, mostly monotylt. Mor signiintly, th nzymti hyrolysis rnr shortr rgmnts with high rt o ully tylt hitooligomrs, showing highr oligo siz/yil rtio. Bs on ths vins, w hos th nzymti mtho to prpr oligohitosns [14]. Among th iologil ssys, th t o irnt hitosns on growth n sxul rproution o tog C Enzym tivity (%) ph B Enzym tivity (U/mL) Tim (min) g Tmprtur ( 0 C) Figur 1. Optimiztion o nzymti hyrolysis with th nzym omplx Ptinx Ultr SPL. Inlun o ph (A), tmprtur (B), n thrml stility ovr tim (C) o th omplx s hitosns tivity on th Q-63 polymr s sustrt C 40 0 C 45 0 C 50 0 C 55 0 C 307 Biotnologí Apli 2010; Vol.27, No.4

4 Aljnro Flón Roríguz t l. Rport o n ri pthogns ws vlut in vitro. Signiintly novl rsults wr otin rgring th t o hitosns t irnt liyl stgs o th Srolium n Bipolris gnr. Similrly, it ws vin th inlun o hitosn MW n AD on th irnt stgs o th P. niotin too pthogn, hiving th highst inhiition y rsing MW own to oligomrs n t th lowst AD. (Figur 2, Tl 2). This is highly signiint rsult, u to its prtil rlvn whn prpring hitosn ompouns with inhiitory tivity. It ws lso vlut th inlun o hitosn polymr (Q-88) on othr pthogns growth (Phytium phnirmtum, Slrotium rolsii n Rizotoni solni) whih wr isolt rom too n othr soln, with th irst two pthogns s th most snsitiv to tht polymr, n stuying Q-88 or th vry irst tim in os-rspons xprimnts. Bs on ths rsults, n lso onsiring th nturl origin n iogrl ntur o hitosn, ths polymrs n thir rivtivs wr rommn to us or ontrolling soil phytopthogns in too ss n to ru th spott grin iss in ri. It ws lso monstrt tht it is possil to rtylt th high PD polymrs without ting thir PD, y working with two sts o hitooligoshris o in PD. Thir pity to inu rsistn ws vlut in suspnsions o Ariopsis thlin lls, y msuring th inution o two wll known nsiv mrkrs: PAL tivity n proution o hyrogn proxi (H 2 ). In this s, th ompltly tylt hitooligoshris inu th tivtion o oth PAL tivity n H 2 proution, n lso ll th, whih vri with thir PD n onntrtion. Th ility o th oligoshris to inrs H 2 proution n ll th ws progrssivly inhiit y rtyltion, ut th PAL tivity ws unt. This vin th rol o PD or gnrting nsiv rsponss on vgtl lls. Exprimnts run in too plnts show, or th vry irst tim, th inution o systmi rsponss ginst P. niotin y olir sprsion, sustrt pplition n prvious trtmnt o ss with th hitosn ompouns. All ths monstrt th potntility o ths ompouns to prott too rom its min iss t s lvl. Th inution o rsistn, ithr y tivting nsiv rsponss or y ruing th intion o P. niotin ws inlun y th onntrtion, MW n AD o th ppli ompouns, n lso y th ministrtion prours [15]. This stuy vin th nits o protting too t il sl unr smi-ontroll onitions, n lso th prtil rlvn o prpring hitosns with th qut physil-hmil proprtis, to nhn th prottiv t. In ri, th trtmnt o ss o th ommril vrity J-104 snsitiv to Piriulriosis (Pyriulri gris) with hitosn polymrs or hyrolizts prior to sowing, tivt nsiv rsponss in plnts ithr or not inoult with th pthogn, protting th plnts ginst intion. Ths ssys wr rri out unr smi-ontroll onitions n monstrt tht it is possil to prott this rop rom this signiint iss t il sl with oth typs o ompouns. Th most promising mong ll th hitosn-s ompouns stui in this work t il sl n unr ontroll or smi-ontroll onitions wr ssy t opn il sl in oth rops. In ri, oth th polymr n th hyrolizt wr stui, unr onitions voring th ourrn o Piriulriosis, with prottion ing vin only or th hitosn hyrolizt t th onntrtion ssy. Tl 2. Ets o hitosns n oligohitosns on in vitro viility o P. niotin zoospors (2.1 x 10 4 spors/ml) Chitosn Compoun onntrtion (g/l) ompouns Q Q OLG Th positiv sign inits myli growth in th plt or th svn ys nxt to soking zoospors with th trtmnt solutions (soking or 6 hrs). 15. Flón AB. Chitosns n l inhiiión in vitro Phytophthor niotin Br Hn y n l inuión rsistni n plnts to ontr st ptógno. Dotorl Thsis in Biologil Sins. Fulty o Biology, Univrsity o Hvn, July A Inhiition o ril growth (%) Q-63 Q-88 OLG Chitosn onntrtion (g/l) Figur 2. Ets o hitosns (Q-63, Q-88) n oligohitosns (OLG) on in vitro growth o P. niotin myli (A) in PDA-V8 mium, n o th Q-88 polymr on zoospor viility (1.9 x 10 4 spors/ml) o P. niotin t irnt soking tims (2, 4 n 6 hrs) with th hitosn polymr (B). Th rsult o th itoril ANOVA in th nti-mylil ssy, with 8 rplits pr trtmnt, init th intrtion mong th tors t p 0.05 (stnr rror = 0.06). Th prntgs o inhiition orrspon to th originl t. Dirnt lttrs rprsnt signiint irns mong mns o trtmnts, s trmin y ompring thm y th Tuky s tst (p 0.05). B 2 hrs 4 hrs 6 hrs Control 0.5 Chitosn onntrtion Biotnologí Apli 2010; Vol.27, No.4

5 Aljnro Flón Roríguz t l. Rport In too, tking togthr th rsults o rsistn inution n ntimiroil tivity, it ws i to vlut hitosn polymr (Q-88) y olir sprsion to plnts (vrity Hn 92), svrl ys tr trnsplnttion n without ltring th prottion shul us y th lol privt prour. In this sns, plnts riv th hitosn (thr oss) n lso th shul hmil trtmnt, ing inlly vlut or nturl intion y viruss, ungi n oomyts. A signiint prottion ws otin ginst ll th vlut pthogns s ompr to th ontrol, showing os-pnnt rspons or th ppli hitosn n lso positiv t o th ompoun on proution yils. Du to its ul iologil tion, hitosn-mit prottion o plnts n mit oth y irtly ting pthogn growth n y tivting th systmilly inu rsistn (SIR) in plnts. In ri, whr th ss wr trt or sowing, th prottion oun ws th son in mgnitu. But in too, whr th ompoun ws issmint y sprsion, oth ts n tking pl, th ntimiroil tion (spilly ginst ir-orn pthogns whih n gt into ontt th hitosn hr to th lv) n th SIR. Th lttr vin y th ru intion with root n stm pthogns tr sprsion. Both mhnisms o tion r vitl to implmnt prottiv strtgy in rops. Conlusions In this work, mthoologis wr pt to gnrt irnt hitosn ompouns rom lostr hitin. Th rsulting n promising polymrs, n thir mixs n rivtivs, wr vlut or iologil tivity n tivtion o rsistn n prottion rom pthogns in too n ri plnts. It ws monstrt, or th vry irst tim, th inlun o rtin physil-hmil proprtis o hitosn rivtivs on inhiiting pthogns growth n vlopmnt n lso in th iology o prottion o ully grown plnts ginst thm. Our rsults vin th struturtivity rltionship mong th rivtivs prpr n hrtriz n lso th iologil untions vlut. Th irst rsults on prottion o ri n too ultivrs t il sl r lso shown, vining thir rlvn to sign n prpr nw nturl, non-toxi n ntionlly prou io-pstiis to us in griultur. Th inlusion o hitosn s prt o th intgrl mngmnt o pthogns woul llow ruing or sustituting th pplition o hmils in som onomilly rlvnt rops, with th susqunt prottion o th nvironmnt. Sintii rlvn o th stuy This work provis vins on th potntilitis o hitosn polymrs, prtilly hyrolyz hitosn n oligohitosns vlop in Cu, to prott too n ri ultivrs rom rlvnt isss whih limit proution yils. This supports thir potntil introution or th ologil ontrol o pthogns in oth rops. By ths mns, signiint mount o lostr xosklton is us s sour or hitin n hitosn proution, two ompouns o high ggrgt vlu, inst o isring it into th nvironmnt with th ssoit ontmintion. Aknowlgmnts Th uthors wnt to thnk th ontriution n support o th ollowing ollortors: Th thnil tm t th INCA involv in this work; Dr. Pirr Vn Cutsm (Nmur Univrsity, Blgium), Dr. Silvi Butist-Bños (IPNY, Morlos, Mxio); Dr. Migul A Mrtínz-Téllz (CIAD, Sonor, Mxio); Dr. Frnno Gurii (UNAH); Dr. Euro Ortg (Univrsity o Hvn, Cu); Dr. Onin Lón (CENSA, Cu); Dr. Vróni Tolo (IIT, Cu) n Dr. Mrí C. Nápols (INCA, Cu). Th uthors r lso grtul to MS. Rgl M Cárns n MS. Elizth Cristo; n to th CITMA n MES ministris or prtilly uning th rsrh inlu in this work. 309 Biotnologí Apli 2010; Vol.27, No.4

EE1000 Project 4 Digital Volt Meter

EE1000 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 information

, each of which is a tree, and whose roots r 1. , respectively, are children of r. Data Structures & File Management

, 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 information

Present state Next state Q + M N

Present 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

ECE COMBINATIONAL BUILDING BLOCKS - INVEST 13 DECODERS AND ENCODERS

ECE 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 information

1 Introduction to Modulo 7 Arithmetic

1 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 information

COMPLEXITY OF COUNTING PLANAR TILINGS BY TWO BARS

COMPLEXITY 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 information

Cycles and Simple Cycles. Paths and Simple Paths. Trees. Problem: There is No Completely Standard Terminology!

Cycles 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

QUESTIONS BEGIN HERE!

QUESTIONS 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 information

Constructive Geometric Constraint Solving

Constructive 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 information

CS September 2018

CS 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 information

THE EFFECT OF SEED AND SOIL APPLIED SYSTEMIC INSECTICIDES ON APHIDS IN SORGHUM. Texas Agricultural Experiment Station, Nueces County, 2000

THE EFFECT OF SEED AND SOIL APPLIED SYSTEMIC INSECTICIDES ON APHIDS IN SORGHUM. Texas Agricultural Experiment Station, Nueces County, 2000 THE EFFECT OF SEED AND SOIL APPLIED SYSTEMIC INSECTICIDES ON APHIDS IN SORGHUM Txs Agriulturl Exprimnt Sttion, Nus County, 2000 Roy D. Prkr Extnsion Entomologist Corpus Cristi, Txs SUMMARY: Grnug, yllow

More information

CSC Design and Analysis of Algorithms. Example: Change-Making Problem

CSC Design and Analysis of Algorithms. Example: Change-Making Problem CSC 801- Dsign n Anlysis of Algorithms Ltur 11 Gry Thniqu Exmpl: Chng-Mking Prolm Givn unlimit mounts of oins of nomintions 1 > > m, giv hng for mount n with th lst numr of oins Exmpl: 1 = 25, 2 =10, =

More information

Effectiveness of organic compounds in controlling root rot/wilt diseases, growth and yield parameters of pepper

Effectiveness of organic compounds in controlling root rot/wilt diseases, growth and yield parameters of pepper Intrntionl Journl o Agriulturl Sins ISSN: 2167-0447 Vol. 4 (4), pp. 143-150, April, 2014. Avill onlin t www.intrntionlsholrsjournls.org Intrntionl Sholrs Journls Full Lngth Rsrh Ppr Etivnss o orgni ompouns

More information

b. How many ternary words of length 23 with eight 0 s, nine 1 s and six 2 s?

b. 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 information

CSE 373: AVL trees. Warmup: Warmup. Interlude: Exploring the balance invariant. AVL Trees: Invariants. AVL tree invariants review

CSE 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 information

Module graph.py. 1 Introduction. 2 Graph basics. 3 Module graph.py. 3.1 Objects. CS 231 Naomi Nishimura

Module 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 information

Seven-Segment Display Driver

Seven-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 information

QUESTIONS BEGIN HERE!

QUESTIONS 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 information

Using the Printable Sticker Function. Using the Edit Screen. Computer. Tablet. ScanNCutCanvas

Using 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 information

The University of Sydney MATH2969/2069. Graph Theory Tutorial 5 (Week 12) Solutions 2008

The 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 information

Why the Junction Tree Algorithm? The Junction Tree Algorithm. Clique Potential Representation. Overview. Chris Williams 1.

Why 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 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

(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 information

Paths. Connectivity. Euler and Hamilton Paths. Planar graphs.

Paths. 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 information

Outline. 1 Introduction. 2 Min-Cost Spanning Trees. 4 Example

Outline. 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 information

Section 3: Antiderivatives of Formulas

Section 3: Antiderivatives of Formulas Chptr Th Intgrl Appli Clculus 96 Sction : Antirivtivs of Formuls Now w cn put th is of rs n ntirivtivs togthr to gt wy of vluting finit intgrls tht is ct n oftn sy. To vlut finit intgrl f(t) t, w cn fin

More information

Exam 1 Solution. CS 542 Advanced Data Structures and Algorithms 2/14/2013

Exam 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 information

An undirected graph G = (V, E) V a set of vertices E a set of unordered edges (v,w) where v, w in V

An undirected graph G = (V, E) V a set of vertices E a set of unordered edges (v,w) where v, w in V Unirt Grphs An unirt grph G = (V, E) V st o vrtis E st o unorr gs (v,w) whr v, w in V USE: to mol symmtri rltionships twn ntitis vrtis v n w r jnt i thr is n g (v,w) [or (w,v)] th g (v,w) is inint upon

More information

Planar Upward Drawings

Planar 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 information

A PROPOSAL OF FE MODELING OF UNIDIRECTIONAL COMPOSITE CONSIDERING UNCERTAIN MICRO STRUCTURE

A 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 information

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)}

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)} Introution Computr Sin & Enginring 423/823 Dsign n Anlysis of Algorithms Ltur 03 Elmntry Grph Algorithms (Chptr 22) Stphn Sott (Apt from Vinohnrn N. Vriym) I Grphs r strt t typs tht r pplil to numrous

More information

EXAMPLE 87.5" APPROVAL SHEET APPROVED BY /150HP DUAL VFD CONTROL ASSEMBLY CUSTOMER NAME: CAL POLY SLO FINISH: F 20

EXAMPLE 87.5 APPROVAL SHEET APPROVED BY /150HP DUAL VFD CONTROL ASSEMBLY CUSTOMER NAME: CAL POLY SLO FINISH: F 20 XMPL XMPL RVISIONS ZON RV. SRIPTION T PPROV 0.00 THIS IS N PPROVL RWING OR YOUR ORR. OR MNUTURING N GIN, THIS RWING MUST SIGN N RTURN TO MOTION INUSTRIS. NY HNGS M TO THIS RWING, TR MNUTURING HS GUN WILL

More information

Nefertiti. Echoes of. Regal components evoke visions of the past MULTIPLE STITCHES. designed by Helena Tang-Lim

Nefertiti. 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 information

Outline. Computer Science 331. Computation of Min-Cost Spanning Trees. Costs of Spanning Trees in Weighted Graphs

Outline. Computer Science 331. Computation of Min-Cost Spanning Trees. Costs of Spanning Trees in Weighted Graphs Outlin Computr Sin 33 Computtion o Minimum-Cost Spnnin Trs Prim s Mik Joson Dprtmnt o Computr Sin Univrsity o Clry Ltur #34 Introution Min-Cost Spnnin Trs 3 Gnrl Constrution 4 5 Trmintion n Eiiny 6 Aitionl

More information

C-201 Sheet Bar Measures 1 inch

C-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 information

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)}

V={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 information

CSE 373: More on graphs; DFS and BFS. Michael Lee Wednesday, Feb 14, 2018

CSE 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 information

Module 2 Motion Instructions

Module 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 information

# 1 ' 10 ' 100. Decimal point = 4 hundred. = 6 tens (or sixty) = 5 ones (or five) = 2 tenths. = 7 hundredths.

# 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 information

Reaction of certain malvaceae cultivars to meloidogyne incognita infection under greenhouse conditions

Reaction of certain malvaceae cultivars to meloidogyne incognita infection under greenhouse conditions AGRICULTURE AND BIOLOGY JOURNAL OF NORTH AMERICA ISSN Print: 21517517, ISSN Onlin: 21517525, oi:10.5251/jn.2013.4.3.309.315 2013, SinHuβ, http://www.sihu.org/abjna Rtion o rtin mlv ultivrs to mloiogyn

More information

Tangram Fractions Overview: Students will analyze standard and nonstandard

Tangram 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 information

S i m p l i f y i n g A l g e b r a SIMPLIFYING ALGEBRA.

S i m p l i f y i n g A l g e b r a SIMPLIFYING ALGEBRA. S i m p l i y i n g A l g r SIMPLIFYING ALGEBRA www.mthltis.o.nz Simpliying SIMPLIFYING Algr ALGEBRA Algr is mthmtis with mor thn just numrs. Numrs hv ix vlu, ut lgr introus vrils whos vlus n hng. Ths

More information

DETAIL B DETAIL A 7 8 APPLY PRODUCT ID LABEL SB838XXXX ADJ FOUR POST RACK SQUARE HOLE RAIL B REVISION

DETAIL B DETAIL A 7 8 APPLY PRODUCT ID LABEL SB838XXXX ADJ FOUR POST RACK SQUARE HOLE RAIL B REVISION RVISION RV SRIPTION Y T HNG NO NOT OR PROUT LL JJH // LR TIL PPLY PROUT I LL TIL INSI UPPR ROSS MMR ON PR RK IS J OUR POST RK SQUR HOL RIL IS MN MS G NUT, PNL RNG 99 PPLY PROUT I LL INSI UPPR ROSS MMR

More information

12. Traffic engineering

12. 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 information

Graphs. Graphs. Graphs: Basic Terminology. Directed Graphs. Dr Papalaskari 1

Graphs. Graphs. Graphs: Basic Terminology. Directed Graphs. Dr Papalaskari 1 CSC 00 Disrt Struturs : Introuon to Grph Thory Grphs Grphs CSC 00 Disrt Struturs Villnov Univrsity Grphs r isrt struturs onsisng o vrs n gs tht onnt ths vrs. Grphs n us to mol: omputr systms/ntworks mthml

More information

12 - 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.

12 - 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 information

Designing A Concrete Arch Bridge

Designing 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 information

Integration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals

Integration 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 information

with n-butylamine and n-octylamine

with 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 information

TURFGRASS DISEASE RESEARCH REPORT J. M. Vargas, Jr. and R. Detweiler Department of Botany and Plant Pathology Michigan State University

TURFGRASS 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 information

DOI: 10.1038/n3296 Supplmntry Figur 1 PN2 PN5 Exprssion o Tt trnsripts uring mryos vlopmnt. x3 x7 x9 x4 2lls 4lls Blstoyst 5C 5C 5C 5C x3 x1 x4 Mrg (5C/5C, PI) x6 x9 x8 x10 100 ng ntioy C ntioy C 200ng

More information

Math 61 : Discrete Structures Final Exam Instructor: Ciprian Manolescu. You have 180 minutes.

Math 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 information

Above. Below H&E. Above CD4. CD11b. Fluoromyelin BDA BDA BDA. Cerebral cortex. Focal lesion. Thoracic cord. Lumbar cord. Hindlimb placing score

Above. Below H&E. Above CD4. CD11b. Fluoromyelin BDA BDA BDA. Cerebral cortex. Focal lesion. Thoracic cord. Lumbar cord. Hindlimb placing score 1. 1. 1 1 3 Tim tr lsion inution () wks wks 3 1 1 1 3 Tim tr lsion inution () i Ltrl sor. Mil Aov Blow.. 1 wk On sgmnt ov g 3. Lsion Fluoromylin Fluoromylin h CD11 Hinlim pling sor CD Aov Blow Fol lsion

More information

Decimals DECIMALS.

Decimals 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 information

WATER STRESS AFFECTS THE GERMINATION, EMERGENCE AND GROWTH OF DIFFERENT SORGHUM CULTIVARS

WATER STRESS AFFECTS THE GERMINATION, EMERGENCE AND GROWTH OF DIFFERENT SORGHUM CULTIVARS SINET: Ethiop. J. Si., 28(2):119 128, 25 Fulty of Sin, is Univrsity, 25 ISSN: 379 2897 WTER STRESS FFECTS THE GERMINTION, EMERGENCE ND GROWTH OF DIFFERENT SORGHUM CULTIVRS Wonimu yu 1, N.F.G. Rthmn 2,

More information

Graph 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

Graph 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 information

New challenges on Independent Gate FinFET Transistor Network Generation

New challenges on Independent Gate FinFET Transistor Network Generation Nw hllngs on Inpnnt Gt FinFET Trnsistor Ntwork Gnrtion Viniius N. Possni, Anré I. Ris, Rnto P. Ris, Flip S. Mrqus, Lomr S. Ros Junior Thnology Dvlopmnt Cntr, Frl Univrsity o Plots, Plots, Brzil Institut

More information

Garnir Polynomial and their Properties

Garnir 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 information

Response of Sesame (Sesamum indicum) Cultivars to Hydropriming of Seeds

Response of Sesame (Sesamum indicum) Cultivars to Hydropriming of Seeds J. Appl. Environ. Biol. Si., 1(12)638-642, 2011 2011, TxtRo Pulition ISSN: 2090-4215 Journl o Appli Environmntl n Biologil Sins www.txtro.om Rspons o Ssm (Ssmum inium) Cultivrs to Hyropriming o Ss Ahm

More information

CSE 373. Graphs 1: Concepts, Depth/Breadth-First Search reading: Weiss Ch. 9. slides created by Marty Stepp

CSE 373. Graphs 1: Concepts, Depth/Breadth-First Search reading: Weiss Ch. 9. slides created by Marty Stepp CSE 373 Grphs 1: Conpts, Dpth/Brth-First Srh ring: Wiss Ch. 9 slis rt y Mrty Stpp http://www.s.wshington.u/373/ Univrsity o Wshington, ll rights rsrv. 1 Wht is grph? 56 Tokyo Sttl Soul 128 16 30 181 140

More information

0.1. Exercise 1: the distances between four points in a graph

0.1. 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 information

The Plan. Honey, I Shrunk the Data. Why Compress. Data Compression Concepts. Braille Example. Braille. x y xˆ

The Plan. Honey, I Shrunk the Data. Why Compress. Data Compression Concepts. Braille Example. Braille. x y xˆ h ln ony, hrunk th t ihr nr omputr in n nginring nivrsity of shington t omprssion onpts ossy t omprssion osslss t omprssion rfix os uffmn os th y 24 2 t omprssion onpts originl omprss o x y xˆ nor or omprss

More information

Problem solving by search

Problem 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 information

Aquauno Video 6 Plus Page 1

Aquauno 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 information

MANAGEMENT OF DISEASES OF INFLORESCENCE OF MANGO

MANAGEMENT OF DISEASES OF INFLORESCENCE OF MANGO MANAGEMENT OF DISEASES OF INFLORESCENCE OF MANGO MM Hsn 1, I Hossin 2, MAU Rzu 3 1 Grut stunt, 2 Profssor n 3 Ph.D. stunt Dprtmnt of Plnt Pthology, Bnglsh Agriulturl Univrsity, Mymnsingh, Bnglsh ABSTRACT

More information

INFLUENCE OF EXOGENOUSLY APPLIED METHYL JASMONATE CYLINDROCARPON DESTRUCTANS IN VITRO

INFLUENCE OF EXOGENOUSLY APPLIED METHYL JASMONATE CYLINDROCARPON DESTRUCTANS IN VITRO 530 Bulgrin Journl of Agriulturl Sin, 19 (No 3) 2013, 530-535 Agriulturl Amy INFLUENCE OF EXOGENOUSLY APPLIED METHYL JASMONATE CYLINDROCARPON DESTRUCTANS IN VITRO J. M. SUN, J. F. FU*, R. J. ZHOU n X.

More information

Chem 104A, Fall 2016, Midterm 1 Key

Chem 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 information

DEVELOPING COMPUTER PROGRAM FOR COMPUTING EIGENPAIRS OF 2 2 MATRICES AND 3 3 UPPER TRIANGULAR MATRICES USING THE SIMPLE ALGORITHM

DEVELOPING 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 information

1. Determine whether or not the following binary relations are equivalence relations. Be sure to justify your answers.

1. Determine whether or not the following binary relations are equivalence relations. Be sure to justify your answers. Mth 0 Exm - Prti Prolm Solutions. Dtrmin whthr or not th ollowing inry rltions r quivln rltions. B sur to justiy your nswrs. () {(0,0),(0,),(0,),(,),(,),(,),(,),(,0),(,),(,),(,0),(,),(.)} on th st A =

More information

A Simple Code Generator. Code generation Algorithm. Register and Address Descriptors. Example 3/31/2008. Code Generation

A Simple Code Generator. Code generation Algorithm. Register and Address Descriptors. Example 3/31/2008. Code Generation A Simpl Co Gnrtor Co Gnrtion Chptr 8 II Gnrt o for singl si lok How to us rgistrs? In most mhin rhitturs, som or ll of th oprnsmust in rgistrs Rgistrs mk goo tmporris Hol vlus tht r omput in on si lok

More information

DUET WITH DIAMONDS COLOR SHIFTING BRACELET By Leslie Rogalski

DUET 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 information

Full Review Condominium

Full Review Condominium Full Rviw Conominium I. Bsi Projt Inormtion 1 Projt Lgl Nm 2 Projt Physil Arss 3 HOA Mngmnt Arss 4 HOA Nm (i irnt rom Projt Lgl Nm) 5 HOA Tx ID # 6 HOA Mngmnt Compny Tx ID # 7 Nm o Mstr or Umrll Assoition

More information

Graphs. CSC 1300 Discrete Structures Villanova University. Villanova CSC Dr Papalaskari

Graphs. 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 information

Intramolecular Quaternization as Folding Strategy for the Synthesis of Catalytically Active Imidazolium-based Single Chain Nanoparticles

Intramolecular 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 information

(PP/2-1)x S(PP) SIGNAL CONTACTS 0.50 FRONT POLARIZATION KEY SEE TABLE DIM A ( 10.00) D D

(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 information

Dinitrogen fixation and residue nitrogen of different managed legumes and nitrogen uptake of subsequent winter wheat

Dinitrogen fixation and residue nitrogen of different managed legumes and nitrogen uptake of subsequent winter wheat Dinitrogn fixtion n rsiu nitrogn of iffrnt mng lgums n nitrogn uptk of susqunt wintr wht R. Logs 1, A. Ksk 2 n F. Tu 2 1 Dprtmnt of Orgni Frming, Univrsity of Kil, 2 Dprtmnt of Grss n Forg Sin, Univrsity

More information

Pre-concentration of some heavy metal ions with AlO HQ and AlO PHQ and their studies by FTIR and spectroscopy

Pre-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 information

Algorithmic and NP-Completeness Aspects of a Total Lict Domination Number of a Graph

Algorithmic 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 information

Effects of Weed Control Methods on the Growth and Yield of Cowpea (Vigna unguiculata (L.) Walp) under Rain-Fed Conditions of Owerri

Effects of Weed Control Methods on the Growth and Yield of Cowpea (Vigna unguiculata (L.) Walp) under Rain-Fed Conditions of Owerri Amrin-Eursin J. Agri. & Environ. Si., 1 (11): 146-1430, 01 ISSN 1818-6769 IDOSI Pulitions, 01 DOI: 10.589/iosi.js.01.1.11.1791 Effts of W Control Mthos on th Growth n Yil of Cowp (Vign unguiult (L.) Wlp)

More information

Numbering Boundary Nodes

Numbering 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 information

Zhihua Liu, 1 Ying Huang, 1 Rongshu Zhang, 2 Guiping Diao, 1 Haijuan Fan, 1 and Zhiying Wang Introduction

Zhihua Liu, 1 Ying Huang, 1 Rongshu Zhang, 2 Guiping Diao, 1 Haijuan Fan, 1 and Zhiying Wang Introduction Hinwi Pulishing Corportion Th Sintifi Worl Journl Volum 213, Artil ID 648382, 9 pgs http://x.oi.org/1.1155/213/648382 Rsrh Artil Chitins Gns LCHI31 n LCHI32 from Limonium iolor Wr Sussfully Exprss in Eshrihi

More information

12/3/12. Outline. Part 10. Graphs. Circuits. Euler paths/circuits. Euler s bridge problem (Bridges of Konigsberg Problem)

12/3/12. 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 information

BASIC CAGE DETAILS SHOWN 3D MODEL: PSM ASY INNER WALL TABS ARE COINED OVER BASE AND COVER FOR RIGIDITY SPRING FINGERS CLOSED TOP

BASIC 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 information

5/9/13. Part 10. Graphs. Outline. Circuits. Introduction Terminology Implementing Graphs

5/9/13. 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 information

CS 241 Analysis of Algorithms

CS 241 Analysis of Algorithms CS 241 Anlysis o Algorithms Prossor Eri Aron Ltur T Th 9:00m Ltur Mting Lotion: OLB 205 Businss HW6 u lry HW7 out tr Thnksgiving Ring: Ch. 22.1-22.3 1 Grphs (S S. B.4) Grphs ommonly rprsnt onntions mong

More information

A Low Noise and Reliable CMOS I/O Buffer for Mixed Low Voltage Applications

A Low Noise and Reliable CMOS I/O Buffer for Mixed Low Voltage Applications Proings of th 6th WSEAS Intrntionl Confrn on Miroltronis, Nnoltronis, Optoltronis, Istnul, Turky, My 27-29, 27 32 A Low Nois n Rlil CMOS I/O Buffr for Mix Low Voltg Applitions HWANG-CHERNG CHOW n YOU-GANG

More information

5/1/2018. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees

5/1/2018. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees /1/018 W usully no strns y ssnn -lnt os to ll rtrs n t lpt (or mpl, 8-t on n ASCII). Howvr, rnt rtrs our wt rnt rquns, w n sv mmory n ru trnsmttl tm y usn vrl-lnt non. T s to ssn sortr os to rtrs tt our

More information

Steinberg s Conjecture is false

Steinberg s Conjecture is false Stinrg s Conjtur is als arxiv:1604.05108v2 [math.co] 19 Apr 2016 Vinnt Cohn-Aa Mihal Hig Danil Král Zhntao Li Estan Salgao Astrat Stinrg onjtur in 1976 that vry planar graph with no yls o lngth our or

More information

Multipoint Alternate Marking method for passive and hybrid performance monitoring

Multipoint 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 information

Journal of Integrative Agriculture 2019, 18(2): Available online at ScienceDirect

Journal of Integrative Agriculture 2019, 18(2): Available online at   ScienceDirect Journl o Intgrtiv Agriultur 219, 18(2): 428 437 Avill onlin t www.sinirt.om SinDirt RESEARCH ARTICLE Prottiv rols o trhlos in Plurotus pulmonrius uring ht strss rspons LIU Xiu-ming *, WU Xing-li *, GAO

More information

Optimization of Protease Enzyme Production Using Bacillus Sp. Isolated from Different Wastes

Optimization of Protease Enzyme Production Using Bacillus Sp. Isolated from Different Wastes Botny Rsrh Intrntionl 2 (2): 83-87, 2009 ISSN 2221-3635 IDOSI Pulitions, 2009 Optimiztion of Prots Enzym Proution Using Billus Sp. Isolt from Diffrnt Wsts 1 1 Uni Boominhn, Rjnrn Rjkumr, 2 2 Plnivl Krpg

More information

Expression pattern of two sugar transporter genes (SuT4 and SuT5) under salt stress in wheat

Expression pattern of two sugar transporter genes (SuT4 and SuT5) under salt stress in wheat POJ 3(6):194-198 (21) ISSN:1836-3644 Exprssion pttrn o two sugr trnsportr gns (SuT4 n SuT5) unr slt strss in wht Fhimh Chrkzi, S. Snz Rmznpour *, Hssn Soltnloo Dprtmnt o Plnt Bring n Biothnology, Gorgn

More information

Case Study VI Answers PHA 5127 Fall 2006

Case Study VI Answers PHA 5127 Fall 2006 Qustion. A ptint is givn 250 mg immit-rls thophyllin tblt (Tblt A). A wk ltr, th sm ptint is givn 250 mg sustin-rls thophyllin tblt (Tblt B). Th tblts follow on-comprtmntl mol n hv first-orr bsorption

More information

SEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES EZ SERVO EZSV17 WIRING DIAGRAM FOR BLDC MOTOR

SEE 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 information

d e c b a d c b a d e c b a a c a d c c e b

d e c b a d c b a d e c b a a c a d c c e b FLAT PEYOTE STITCH Bin y mkin stoppr -- sw trou n pull it lon t tr until it is out 6 rom t n. Sw trou t in witout splittin t tr. You soul l to sli it up n own t tr ut it will sty in pl wn lt lon. Evn-Count

More information

Properties of Hexagonal Tile local and XYZ-local Series

Properties 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 information

Trees as operads. Lecture A formalism of trees

Trees as operads. Lecture A formalism of trees Ltur 2 rs s oprs In this ltur, w introu onvnint tgoris o trs tht will us or th inition o nroil sts. hs tgoris r gnrliztions o th simpliil tgory us to in simpliil sts. First w onsir th s o plnr trs n thn

More information

Effect of some Sources and Rates of Nitrogen Fertilization on Growth and Leaf Mineral Content of Young Trees of Wonderful, Pomegranate

Effect of some Sources and Rates of Nitrogen Fertilization on Growth and Leaf Mineral Content of Young Trees of Wonderful, Pomegranate Mil Est Journl o griultur Rsrh Volum: 04 Issu: 04 Ot.-D. 2015 Pgs :879-886 Et o som n Rts o Nitrogn Frtiliztion on Growth n L Minrl ontnt o Young Trs o Wonrul, Pomgrnt 1 Rmy M.., 2 N. -lhmi, 2 Noh Mnsour

More information

Register Allocation. Register Allocation. Principle Phases. Principle Phases. Example: Build. Spills 11/14/2012

Register 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 information

Mode switching in modal domain models of overhead lines and underground cables

Mode switching in modal domain models of overhead lines and underground cables Mo swithing in mol omin mols o ovrh lins n unrgroun ls I. Zltunić, S. Voopij, R. Goić Astrt- This ppr prsnts ri rviw o irnt mthos or lultion o ignvlus n ignvtors or pplition in th mol trnsmission lin thory.

More information

Jonathan Turner Exam 2-10/28/03

Jonathan Turner Exam 2-10/28/03 CS Algorihm n Progrm Prolm Exm Soluion S Soluion Jonhn Turnr Exm //. ( poin) In h Fioni hp ruur, u wn vrx u n i prn v u ing u v i v h lry lo hil in i l m hil o om ohr vrx. Suppo w hng hi, o h ing u i prorm

More information