Original Research Article. Essubalew Getachew Seyum

Size: px
Start display at page:

Download "Original Research Article. Essubalew Getachew Seyum"

Transcription

1 Mrit Rsrh Journl of Agriulturl Sin n Soil Sins (ISSN: ) Vol. 2(7) pp , July, 2014 Avill onlin Copyright 2014 Mrit Rsrh Journls Originl Rsrh Artil Influn of plnt sping n t of sowing on yil n yil omponnts of two snp n (Phsolus vulgris L.) vritis in Jimm, Southwstrn Ethiopi Essulw Gthw Syum Astrt Dprtmnt of Hortiultur, Wolkit Univrsity Collg of Agriultur P.O.Box 07, Wolkit, Ethiopi Emil: ssulwgthw@yhoo.om Apposit plnt sping n t of sowing longsi with vrity hs prmount signifin in improving th po yil n yil omponnts of grn n. Th spir of th xprimnt ws to trmin th propr sowing t, vritis, n optimum plnt sping, n thir omintions for ttr yil of grn ns unr Jimm onition. Th trtmnts wr fiv lvls of sping; four lvl of sowing ts n two vritis li out in Rnomiz Complt Blok Dsign with thr rplitions. Th nlysis of vrin rvl tht vrity signifint iffrns for totl po yil, whil sping illustrt signifint iffrn for totl po yil, lf r n numr of primry rnhs. Dt of sowing lso show signifint iffrns in totl po yil n tp root lngth. Vrity X t of sowing rvl signifint intrtions for ys to 50% flowring, lf r, plnt hight, root frsh wight, root volum n numr of primry rnhs. Vrity X sping show signifint intrtions for ys to 50% flowring n tp root lngth. Th sping X t of sowing intrtion ws signifint only for root frsh wight. Th highst totl po yil ws prou y grn n sow on July 3, grn n sp t 40mx7m n Mlk-5 vrity. Th stuy rsults suggst tht rly July pprs th most pproprit t of sowing n sping t 40 m x 7 m with vrity of Mlk-5 rommn for optimum yil of grn n proution t Jimm onitions. Kywors: Grn n, plnt sping, sowing t, vritis, totl po yil. INTRODUCTION Snp n (Phsolus vulgris L.) is wily us s protin sour with highly nutritiv vlu in humn nutrition in th worl (El-Nomni t l., 2010). Currntly, th totl r ovrg of grn n in Ethiopi is mor thn 15,379h with n vrg totl proution of 6,803tonns (FAO, 2009). It hs n mong th most importnt n highly prioritiz rops s mns of forign urrny rning in Ethiopi (Gzhgn n Dwit, 2006 n Ky, 1979). Rntly, it hs om on of th most importnt vgtls in lol mrkt, ommonly us in stnr hotls n for fstivitis, to rt vrity of ishs. It hs n onsir s n importnt protin supplmnt in rls n root rops s it of in th low inom ommunity of th ountry. It srvs s grn vgtls n provis protin, loris, vitmins n minrls, suh s lium, phosphorus, n iron (Lmm, 2003). Sm n Yosf (1985) rport th mjor proution onstrints in Ethiopi inlus givn th minimum gnotyp srning unrtkn ross iffrnt limti zons, th gnotyp ntris h not n onsistnt, isss n psts wr highr with rin-f vritls srning thn with thos unr irrigt onitions, whn no rop prottion msurs wr tkn n high

2 Gthw 087 post-hrvst losss (Lmm, 2003). Sit-spifi ftors, suh s ulturl prtis n sowing t influn yil n yil hrtristis of grn n. Sltion of th most suitl vrity, trmining suitl sowing t n pplying pproprit ulturl prtis r vry importnt for inrsing qulity n yil of grn n. Among vrious ftors, optimum sowing t n st vrity r of primry importn to otin potntil yil (Amnullh t l., 2002). Vrious vrity trils n gronomi xprimnts of th ountry us plnting nsity of 50mx25m n 40mx20m for rin-f n irrigt onitions, rsptivly. Ltr, stnr sping of 40mx10m hs n opt; irrsptiv of rin-f or irrigt onitions (Gofry t l., 1985), whih ws not lr how this stnr plnting ws trmin without hving plnting nsity stuy inluing numr of plnts pr hill. In Ethiopi, prtiulrly in Jimm zon thr r svrl proution onstrints tht inlu: sn of systmti n ontinuous rsrh on th ptility n proutivity potntil of th ultivrs, lk of wrnss, srious isss n pst prvln n lk of pproprit gronomil n ulturl prtis for th rop n thr ws no grn n proution roun Jimm oth t smll sl n ommril frmr s fil, n hn th pproprit vrity n plnting t n th optimum plnt popultion ws not known for grn n unr Jimm onition. Thrfor, this stuy ws onut with th ojtivs of trmining pproprit sowing t, optimum plnt sping, vritis n thir omintion for ttr po yil n rlt gronomi trits of grn ns unr Jimm onition. MATERIALS AND METHODS Dsription of th Exprimntl Sit Th xprimnt ws onut in Jimm Univrsity Collg of Agriultur n Vtrinry Miin Exprimntl Sttion t Elll uring th min ropping sson unr rin-f onition. Th sit ws situt t ltitu of 7 0 S 42 9 N n longitu E n n lvtion of 1753m ov s lvl. Th xprimntl sit rivs n vrg nnul rinfll of 1559 mm with mximum n minimum tmprturs of 26.8 n C, rsptivly; n th vrg mximum n minimum rltiv humiity of th r r 67.5 n 37.9%, rsptivly. Th soil of th xprimntl sit is rish rown ly, lssifi s Nitisol with ph rng of 5.0 to 6.0 (BPEDORS, 2000). Exprimntl Dsign n Trtmnts Two nit grn n vritis (Mlk-1 n Mlk- 5) wr otin from Mlkss Agriulturl Rsrh Cntr (MARC). Th xprimnt onsist of thr ftors nmly, fiv lvls of intr-row n intr-row sping (50 x 7 m, 40 x 15 m, 40 x 10 m, 40 x 7 m, 30 x 15 m), with four lvls of tim of sowing (July 3 r, July 18 th, August 2 n, n August 17 th, 2010) n two nit grn n vritis (Mlk-1 n Mlk-5) rrng in 5 x 4 x 2 ftoril rrngmnt in rnomiz omplt lok sign with thr rplitions. Exprimntl Mngmnt Th totl xprimntl r for singl rplition ws 35 X 8 m 2 =1925 m 2 n thr wr four rows in h plot with two hrvstl mil two rows. Sping twn plots, rplition n intr-loks wr 0.5 m, 1 m n 0.5 m, rsptivly. Thn ss wr sown s pr th trtmnt with s rt rnging from 98 to 218 pr plots, pning on th sping trtmnt. Th first sowing ws on on July 3, 2010 n susqunt sowings for th othr trtmnts wr m t 15 ys intrvl. All mngmnt prtis wr prform s pr th gnrl rommntions for grn n (Lmm, 2003). Dt Colltion Dt on th po yil n yil rlt gronomi trits of grn n wr ror from h plot y tking tn rnom plnts. Ths quntittiv trits inlus: totl po yil (kg h -1 ), ys to 50% flowring, plnt hight (m), lf r (m 2 ), root frsh wight (gm), root volum (m 3 ), tp root lngth (m) n numr of primry rnhs. Dt Anlysis Anlysis of Vrin (ANOVA) n orrltion ws prform using Gnstt vrsion 11 (VSN Intrntionl, 2008) with th REML vrin omponnts nlysis. Mn sprtion ws rri out using LSD (Lst Signifint Diffrn) tst t 5% lvl of signifin for trits tht show signifint mn squrs (Gomz n Gomz, 1984). All th grphs n tls wr gnrt using xl omputr progrm. RESULTS AND DISCUSSION Thr ws signifint (P<0.05) intrtion fft twn vrity n sowing t, vritis n sping on ys to 50% flowring, plnt hight, lf r, root frsh wight, root volum, tp root lngth, numr of primry rnhs n ys to 50% flowring n tp root lngth, rsptivly. Th intrtion fft twn t

3 088 Mrit Rs. J. Agri. Si. Soil Si. Tl 1. Mn squr rror for th prmtrs Prmtrs Vrity Sping Sowing t Vrity* Sping Vrity* Sowing t Sping* Sowing t Vrity* Sping* Sowing t TPY 4.51* 6.86 * ** 3.49 ns 0.56 ns ns ns DF 8.05** 7.35 ns ** 11.08* 19.70** ns ns TRL 10.38** 11.20* ** 11.32* 5.60 ns ns ns RV 0.032* 6.31 ns ** 4.28 ns 19.26** ns ns NPB 19.26** 17.84** ** 8.12 ns 15.40** ns ns RFW 5.54* 7.34 ns ** 3.71 ns 11.89* 23.87* 8.64 ns LA 2.50 ns 9.98* 79.98** 1.30 ns 41.23** ns ns PH 0.97 ns 3.40 ns 86.87** 2.66 ns 10.36* 5.33 ns 5.45 ns *=Signifint, **= Highly Signifint n NS= Non- Signifint TPY= Totl po yil, DF= Dys to 50% flowring, TRL=Tp root lngth, RV= Root volum, NPB= Numr of primry rnhs, RFW= Root frsh wight, PH= Plnt hight, LA= Lf r Dys to 50% Flowring CV(%)=0.32 LSD(5%)=0.128 S1 S2 S3 S4 S1 S2 S3 S4 Mlk-1 Vritis y Sowing t Mlk-5 Figur 1. Intrtion fft of vritis n sowing t on ys to 50% flowring of grn n. sowing n plnt sping lso rsult in signifint on root frsh wight. Sping imprt signifint iffrns with rgr to th tp root lngth, lf r n numr of primry rnhs n totl po yil. Sowing t n vrity inpnntly signifintly fft th totl po yil of grn n (Tl 1). Dys to 50% Flowring Mximum numrs of ys to 50% of flowring ws ror for Mlk-1 sown on 2 n August whrs, th minimum numr of ys to 50% flowring ws ror for Mlk-1 sown on 18 th July n for Mlk-5 sown on 18 th July, rsptivly (Figur 1). Th osrv iffrn oul u to high rinfll (wtr) n lss sunlight prio tht might hv l to proution of mor vgttiv prts rthr thn rproutiv prts s rsult of sowing on 18 th July. Ngw t l. (2001) show tht snp n vritis flowr in th rng of 41 to 43 ys in th long riny sson whrs, in th lt sson th snp n vritis flowr within 39 to 41 ys. Snp n with n rly plnting took mor numr of ys to flowr n mtur thn in th othr plnting ssons n rlist flowring snp n ws osrv whn it ws plnt in th lt plnting sson (23 r July) whil ly flowring ws osrv in snp ns plnt in th norml or summr plnting sson (13 r Jun), hstning its vlopmnt (Mrln t l., 2008). Longst numr of ys to 50% flowring ws ror for Mlk-1 sown t th sping of 40m x 10m. Th lst numr of ys to 50% flowring ws ror on vrity Mlk-5 sown t th sping of 40mx7m (Tl 2). This oul proly u to th ft tht t lowr nsity thr is lss omptition twn plnts for wtr, nutrints, n minrls tht l to th vlopmnt of vgttiv prts rthr thn forming rproutiv prts. Smih (2008), rport tht whn ns r plnt t th lowr plnting nsitis rquir mor numr of ys for looming (flowring). Th iffrn in th ys to flowring twn th two

4 Gthw 089 Tl 2. Intrtion fft of plnt sping n vritis on ys to 50% flowring of grn n Vrity Plnt Sping CV LSD Mn 50mx7m 40mx15m 40mx10m 40mx7m 30mx15m (%) (5%) Mlk Mlk Mn Plnt hight t hrvst (m) CV(%)=4.30 LSD(5%)=0.673 f S1 S2 S3 S4 S1 S2 S3 S4 Mlk-1 Vritis y Sowing t Mlk-5 Figur 2. Intrtion fft of vritis y sowing t on plnt hight of grn n CV(%)=6.56 LSD(5%)=2.329 Lf r (m2/plnt) S1 S2 S3 S4 S1 S2 S3 S4 M lk-1 Vritis y Sowing t M lk-5 Figur 3. Intrtion fft of vritis with sowing t on lf r of grn n vritis oul proly u to th gnti mk-up of th two vritis (El-Nomni t l., 2010). Plnt Hight Mximum plnt hight ws ror from Mlk-5 sown on 17 th August follow y Mlk-1 sown on sm t. In ontrst, th lst plnt hight ws sor from Mlk- 1 sown on 2 n August (Figur 2). This oul u to th xtn prvln of sunlight uring th growth prio whih might hv stimult mor growth Mlk-5 ompr to othr sowing ts. Singr t l. (1996) rport mximum plnt hight t th wrmst thn th oolst nvironmntl onition. Viir t l. (1990) lso rport tht th prssion of plnt hight oul rsult from rution of photosynthti ffiiny of plnt. Mlk-5 sow on th pproprit sowing t rsult in suprior plnt hight s ompr to Mlk-1, implying tht gnotypilly Mlk-5 is suprior thn Mlk-1.

5 090 Mrit Rs. J. Agri. Si. Soil Si. Tl 3. Efft of plnt sping on lf r of grn n Sping Lf Ar (m 2 /plnt) 50mx7m mx15m mx10m mx7m mx15m Mn CV (%) 4.13 LSD (5%) CV (%)=16.50 LSD(5%)=0.075 Frsh Root wight (g) S1 S2 S3 S4 S1 S2 S3 S4 M lk-1 Vritis y Sowing t M lk-5 Figur 4. Intrtion fft of vritis with sowing t on frsh root wight of grn n Lmm t l. (2006) show Mlk-5 is suprior in plnt hight thn Mlk-1. Uin t l. (2007) lso rport tht intrtion twn plnting tim n gnotyps on soyn vritis rsult in inrs plnt hight in Dmr plnting s ompr to Novmr plnting. Th uthor s ssoit this with th inrs tmprtur intrpt y th gnotyps sow in Dmr plnting uring its lif tim. Lf Ar Th mximum lf r ws osrv from Mlk-5 sow on 2 n August whrs th lowst lf r ws osrv from Mlk-1 sow on 17 th August (Figur 3). This rsult is in-grmnt with th work of Singr t l. (1996) rport tht highr lf r ws ror for lt sowing thn rly sowing of grn n. Th highst lf r ws osrv from plnts sp t 40mx7m. In ontrst, th lowst lf r ws sor on plnts sp t 40mx15m (Tl 3). Joski t l. (2000) inrs lf r of iniviul plnts s plnt popultion rs. Zhou t l. (2011) lso rport tht omptition twn plnts vri from sping to sping; whrin soyn plnts plnt in nrrow rows sping ttin high light ptur thn in wir rows sping. Grinri t l. (1978) rport tht highr prntg of PAR (Pohtosntitilly Ativ Rition) intrption of ush ultivr ws highr whn ush ultivrs wr plnt t 45.5m row sping thn tht of 91 m row sping irrsptiv of sowing ts. Root Frsh Wight Th highst root frsh wight ws osrv from Mlk-1 sown on th 3 r July, whih ws prnt mor thn th lowst frsh root wight tht ws osrv from Mlk-1 sown on 17 th August n Mlk-5 on 17 th August (Figur 4). Th osrv iffrn in trms of root frsh wight oul proly u to th t this sowing thr is lss rinfll riv ftr plnting on 17 th August n xposur of th plnts to mor sunlight s ompr to th othr sowing ts whih ll togthr rsult in plnts tht prou lss vgttiv prts; lss firous root with lss frsh root wight. Th iffrn twn th two vritis oul ttriut to thir gnti mkup. Evn though, litrturs tht support this fining wr not foun on snp n n othr rlt phsolus spis, Alm t l. (2010) rport similr rsult in rish tht frsh root wight ws signifintly highr in rly sowing thn lt sowing in Bnglsh.

6 Gthw 091 Tl 4. Intrtion fft of plnt sping n sowing t on root frsh wight of grn n plnts Sping Sowing t Root Frsh Wight (gm) 50mx7m 3 r July th July n August th August f 40mx15m 3 r July th July n August f 17 th August f 40mx10m 3 r July th July n August th August f 40mx7m 3 r July th July n August th August f 30mx15m 3 r July th July n August th August f Mn 0.57 CV (%) LSD (5%) Tl 5. Intrtion fft of sowing t n vritis on root volum of grn n plnts Sowing Dt Vrity Mn 3 r July 18 th July 2 n August 17 th August CV (%) LSD (5%) Mlk Mlk Mn Th highst root frsh wight ws foun on plot of ns sown on th 3 r of July t sping of 40mx15m. On th ontrry, th lowst root frsh wight ws ror from plots sown with ns on th 17 th of August t sping of 40 m x 10m (Tl 4). Th vilility of suffiint moistur in th soil following th sowing of ns rlir (3 r July) n t th optimum sping (40mx15m, 40mx7m n 30mx15m) might hv fvor mximum vgttiv growth inluing root vlopmnt. Th onition gts so svr whn plnting is too lt or too rly. Unr low nsity, plnts oul gt th ssntil rsours sily thus rsulting in th vlopmnt of high root frsh wight. Root Volum Th mximum root volum ws ror from vrity Mlk-1 sown on th 3 r of July. In ontrst, th minimum root volum ws sor from Mlk-1 sown on th 17 th of August, (Tl 5). Plnts stlish rlir (3 r July) riv mor rinfll s ompr to lt sown ons (17 th August) n hn th ltr might hv suffr from shortg of moistur n xtn sunlight prio whih ltogthr might hv inu th proution short n fw numr of firous roots y th rops. Tp Root Lngth Th longst tp root ws osrv from plnts of th vrity Mlk-1 sown t 40mx7m. In ontrst, th shortst tp root ws not from plnts of th vrity Mlk-5 stlish t sping of 40mx10m (Tl 6). Th osrv inrs in tp root lngth in Mlk-1 tht ws plnt t iffrnt sping omintions oul proly rspons of th vrity. Morovr, th mximum tp root lngth hiv t 40mx7m might hv rt high omptition twn plnts for wtr, minrls n othr rsours n th growth n vlopmnts of plnts t this sitution mks th plnts to prou longr tp roots running in srh of wtr n othr rsours. Th mximum mn tp root lngth ws foun from

7 092 Mrit Rs. J. Agri. Si. Soil Si. Tl 6. Intrtion fft of plnt sping n vritis on tp root lngth of grn n plnts Plnt Sping Vrity Mn 50mx7m 40mx15m 40mx10m 40mx7m 30mx15m Mlk Mlk f Mn CV (%) LSD (5%) Tl 7. Efft of sowing t on tp root lngth of grn n plnts Sowing t Tp Root Lngth (m) 3 r July th July n August th August Mn CV (%) 1.91 LSD (5%) Numr of primry rnhs CV(%)=1.91 LSD(5%)=0.027 f g S1 S2 S3 S4 S1 S2 S3 S4 Mlk-1 Vritis y Sowing t Mlk-5 Figur 5. Intrtion fft of sowing t n vritis on numr of primry rnhs of grn n plnts sown on th 18 th of July whrs, th shortst ws rgistr from sowing on th 17 th of August (Tl 7). Th highst intnsity of rinfll t th stuy sit ws osrv to uring th month of July n rs in August. Consquntly, th roots of plnts from Jun sowing oul gt suffiint moistur within thir rh n hn i not vlop long tp root to srh for moistur. Notly, th shortst tp root lngth ws ror for lt sowing (17 th August) whih vivily xprin limit mount of rinfll. Numr of Primry Brnhs Mor numr of primry rnhs ws osrv from Mlk-1 sown on th 18 th of July whilst, th lst numr of primry rnhs ws rgistr from Mlk-5 sown on 17 th August (Figur 5). Th pprnt isrpny in th numr of primry rnhs twn rly n lt sowing ts oul ttriut to th iffrn in moistur ontnt of th soil; rly sowing ling to mor moistur vilility thn lt sowing n thus ffting vgttiv growth inluing primry rnh vlopmnt. On th othr hn, th iffrn twn th two vritis in trms of primry rnh proution is proly u to thir gnti mkup. Yusufli t l. (2006) rport mor numr of primry rnhs with n rly sowing thn lt sowing of fil ns in Krntk (Ini). Uin t l. (2007) osrv tht th numr of rnhs pr plnt in soyn vritis inrs in Novmr plnting s ompr to Dmr plnting.

8 Gthw 093 Tl 8. Efft of plnt sping on numr of primry rnhs of grn n plnts Sping Numr of primry rnhs 50mx7m mx15m mx10m mx7m mx15m 1.49 Mn 1.46 CV (%) 1.22 LSD (5%) CV(%)=15.39 LSD(5%)= Totl po Yil (kg/h) S1 S2 S3 S4 Sowing Dt Figur 6. Efft of sowing t on totl po yil grn n (kg/h) Signifintly mor numrs of rnhs wr ount from plnts sp t 30 m y 15 m whil th lst numr of rnhs ws ror from plnts stlish t 50 m x 7m (Tl 8). Th possil rson oul proly u to lowr omptition twn plnts unr th lowr nsity plnting for iffrnt rsours tht r ssntil for th growth n vlopmnt s ompr to th high nsity whrin omptition woul svr twn plnts whih onomitntly might hv l to th proution of lss numr of primry rnhs. Lus n Milourn (1976) rport tht lthough numr of rnhs pr plnt gnrlly rs with inrsing nsity u to th ourrn of high omptition mong plnts. Totl Po Yil Th highst totl po yil (kg/h) ws otin u to sowing on th 3 r of July. Convrsly, th lowst totl po yil ws rgistr from sowing th ns lt, th 17 th of August (Figur 6). This ws proly us of th limit vgttiv growth of plnts from th lt sowing s rsult of th limit photosynthts vilility. This in turn ws ttriut to th short rins ssoit with lt sowing. Yols n Esiyok (2007) rvl tht rs yil u to short vgttion prio of th rop sown lt n th mximum growth n yil ws otin y sowing of ns on July. Lowr po yil in th lt plnting sson ws u to smllr iomss proution from shortr vgttiv growth prio n morovr, th lin in po proution my simply rsult from lining flowr proution s vgttiv growth ss. Lt sowing hs ngtiv onsquns on yil us th rproutiv stg ours whn wthr onitions r lss fvorl. Th rproutiv prio of ommon n plnts oini with th highst summr tmprturs n this us sission of mny us n flowrs tht rsults in signifint rs in proutivity (Mrln t l., 2008). Plnt sping t 40mx7m rsult in th highst totl po yil. Convrsly, th lowst totl po yil ws otin from grn n sp t 40mx10m (Tl 9). Thr ws iffrn of prnt totl po yil twn th mximum n th minimum n this prhps u to th lrg numr of plnts pr unit r unr nrrowr sping whih limit th unnssry vgttiv growth n fvor stting of mor pos. Smih (2008) who show suprior yil in th s of high plnt popultions ovr tht of low

9 094 Mrit Rs. J. Agri. Si. Soil Si. Tl 9. Efft of plnt sping on totl po yil (kg/h) of grn ns Plnt Sping Prmtrs TPY (kg/h) 50mx7m mx15m mx10m mx7m mx15m 4817 Mn CV (%) LSD (5%) Tl 10. Efft of vritis on totl po yil (kg/h) Vrity Totl Po Yil (kg/h) Mlk Mlk Mn CV (%) LSD (5%) nsitis. This oul ttriut to th lss svr omptition mong plnts for nutrints n othr rsours unr th ontxt of lss numr plnts pr unit r. Cutliff (1967) lso rport yil of grn ns inrs t th nrrow sping thn th wir. Wh (1986) stt tht highr plnting nsitis of grn n gv highr po yils pr unit r thn tht of lowr plnting nsity. Th highst totl po yil ws otin from th vrity Mlk-5 whrs th lowst totl po yil ws otin from Mlk-1 (Tl 10). Th iffrn twn th two vritis us for th stuy in rspt of totl po yil oul minly u to th gnti mkup of th vritis. Lmm t l. (2006) osrv iffrn in yil twn th two vritis of grn ns owing to thir gnti mkup. Th two vritis lso mnifst iffrns in rspt of rlinss n vgttiv growth. Cultivrs with long vgttiv growth urtion h gnrlly highr frsh po yils thn thos with short vgttiv growth urtion in th rly n norml plnting ssons (Mrln t l., 2008). El- Nomni t l. (2010) rport tht snp n growth, pos or s yil n totl xportl yil r grtly fft y gnotyp of vrity. Amr t l. (2002) onlu tht th iffrns in pos yil of n vritis might ttriut u to th gnti mkup vrity. SUMMARY AND CONCLUSION Grn n is on of th most ultivt lguminous vgtl in th worl. Sltion of st vrity, trmining pproprit sowing t n using th optimum plnt sping r vry importnt ftors to inrs th proutivity n mrktility of grn n. Th prsnt stuy ws onut to ssss th yil of grn n vritis s influn y iffrnt sowing t n plnt sping typs unr Jimm onition. Consiring th growth plnts, vrity Mlk-5 sown on th 17 th August rgistr th mximum plnt hight whil th mximum numr of primry rnhs ws ror from Mlk-1 plnts stlish on th 18 th of July. Mlk-5 sown on th 2 n of August prou th mximum lf r. Th longst tp root ws otin from Mlk-1 stlish t sping 40mx7m n 30mx15m n mong th sowing ts, th longst tp root ws osrv t sowing t of 18 th July. Th intrtion twn vritis n sowing t rsult in iffrn in rspt of ys to flowring; Mlk-5 sown t 40m x7m show th rlist flowring. Prtining to yil, th highst totl po yil wr otin from grn n plnts sown th 3 r of July Thrfor, th rsult of this stuy hs shown tht iffrnt sowing t, sping, n vritis h signifint positiv influn on th yil n growth of grn n. Hn, sowing of grn n t 3 r July givs mor po yil s ompr to th othr sowing t. From this stuy, it n onlu tht sowing of grn n t 3 r July, sping t 40mx7m, Mlk-5 vrity, h potntil to inrs th yil n growth of grn n unr Jimm onition. Hn, frmrs n ny nw ommril growrs n/or invstors t Jimm n similr gro ology rs woul us ths pkgs for growing grn n with ttr qulity n yil.

10 Gthw 095 ACKNOWLEDGEMENT I xprss my hrtflt grtitu to my lov wif Ms. Jimmwork Gr for hr unrsrv support n lov tht rings my lif into th right truk n honorl support ln hn for triumph throughout my lif. REFERENCES Alm MK, Frooqu AM, Uin JA, Nuruzzmn M (2010). Effts of sowing tim on th growth n yil of thr Rish (Rphnus Stivus L.) vritis. Bnglsh Rs. Pu. J. 3: Anis t l. (1995) Amnullh JI, TF Hyt, AI Khn, N Khn (2002). Efft of sowing ts on yil n yil omponnts of msh n vritis. Asin J. Plnt Si., 1: Amr AH, M El Dsuki, Omim MS, AM Irhim (2002-). Ptntility of som snp n (Phsolus vulgris L.) vritis unr iffrnt irrigtion lvls t Shrk El Owint Rgion. Egypt Journl of Appli.Sin, 17(1): BPEDORS (2000).Physil n Soio onomil profil of 180 Distrit of Oromiy Rgion. Pp Buru of Plnning n Eonomi Dvlopmnt of Oromiy Rgionl stt (BPEDORS), physil plnning Dvlopmnt.Finfinn, Ethiopi Cutliff JA (1967). Efft of s sping on yil n siz istriution of snp ns. Cnin J. Plnt Si. 47: El-Nomni AA, HA El-Ziny, AM El-Giny, EA El-Shhr, MA El- Shwfy (2010). Prformn of Som Bn (Phsolus Vulgris L.) Vritis unr Diffrnt Irrigtion Systms n Rgims, Austrlin J. Bsi n Appl. Si. 4(12): FAO (2009). Proution yr ook. Foo n Agriultur Orgniztion for th Unit Ntions, Rom Itly. Grinri TR, Vitor DM, Crkr LE (1978). Growth hit n row with ffts on lf r vlopmnt n light intrption of fil ns. Cnin J. Plnt Si. 59: Gzhgn A, Dwit A (2006). Mrkting of Pulss in Ethiopi pp. In: Kml Ali; Gmhu Knni; Si Ahm; R. Mlhotr; S. Bniwl; K. Mkkouk, n M.H. Hlil (Es.). Foo n Forg Lgums of Ethiopi: Progrss n Prospts. Proings of th Workshop on Foo n Forg Lgums, Sptmr Ais A, Ethiopi. Gofry-Sm-Aggry G, Yosf H, Turuwork A (1985). Rviw of Grn Bns Rsrh in Ethiopi n Proposl for Futur Rsrh n Dvlopmnt Dirtion. Gomz KA, Gomz AA (1984). Sttistil prours for Agriulturl Rsrh. 2 n. John wily & Sons, Nw York. Joski SO, Crlsso R, Ptry M T, Wolshik D, Crvo L (2000). Plnt popultion n row sping for irrigt ry n. I: Plnt morphologil hrtristis. J. Ciêni Rurl, 30(4): JARC Dprtmnt of Mtrology (2010) Ky DE (1979). Foo Lgums: Crop n Prout Digst, No. 3. Lonon: Tropil Prouts Institut. Pp 435. Lmm D (2003). Snp Bn Proution n Rsrh Sttus (Phsiolus vulgris) in Ethiopi. Mlks Agriulturl Rsrh Cntr. Nzrt, Ethiopi. Lmm D, Shimls A, Slmwit K, Ayot A (2006). Vritl Dvlopmnt of Mjor Vgtls in th Rift Vlly Rgion. Pp In: Mlks Agriulturl Rsrh Cntr, Wrr Agriulturl Rsrh Cntr, EIAR Proing of th Inugurl n First Ethiopin Hortiulturl Sin Soity Confrn, Mrh Ais A, Ethiopi. Lus EO, Mioum GM (1976). Th ffts of nsity of plnting on th growth of two Phslous Vulgris L. Vritis in Engln. J. Agri. Si, 87: Mrln PB, An Mrí Gonzálz AM, Roiño AP, D Ron AM, Mrt SM (2008). Effts of plnting sson n plnt ultivr on growth, vlopmnt, n po proution in snp n (Phsolus vulgris L.) Austrlin J. Agri. Rs. 59: Ngw AM, Muhui MN, Whiuri SM, KARI-Thik JN (2001). Evlution of introu snp n (phsolus vulgris l.) Vritis for ptility n po qulity. Thik, Kny. Sm-Aggry WG, Yosf H (1985). Rviw of Hot pppr Rsrh in Ethiopi n proposls for futur Rsrh n vlopmnt irtions.pp.206.in:w.g. Hortiulturl work shop, Frury, Ais A, Ethiopi. Smih A (2008). Efft of Plnt Dnsity on Flowring Dt, Yil n Qulity Attriut of Bush Bns (Phsolus Vulgris L.) unr Cntr Pivot Irrigtion Systm. Am. J. Agri. Biol. Si. 3(4): Singr t l. (1996) Singr SM, Hlmy YI, Swn OM, El-A SO (1996). Effts of plsti tunnls n sowing ts on growth n proutivity of n vritis grown in lrous soil onitions. Egypt J. Hortiultur, 23(2) Uin MK, Hsn MK, Alm AK (2007). Efft of Plnting Tim on Cnopy Strutur n Biomss Proution in Som Soyn Gnotyps. J. Agri. Rurl Dvlop. 5(1-2):25-29 Viir HJ, Brgmshi H, Amgloi LR, Liri L (1990). Prformn of tow n ultivrs unr two soil wtr vilility rgims. II. Stomt1 rsistn to vpour iffusion, trnspirtion flux nsity n wtr potntil in th plnt. Psquis Agropußri Brsilir, 24(9): (English summry). Wh MN, Ds DH, Bkr RJ (1986). Effts of plnting nsity n sign on po yil of ush snp n (Phsolus vulgris l.). Cnin J. Plnt Si. 66: Yols F, Esiyok D (2007). Effts of sowing ts n ulturl trtmnts on growth, qulity n yil of prossing ns. Pkistn J. Biol. Si. 10: Yusufli AN, Algungi SC, Mnsur CP, Hosmni SV, Mummigtti UV (2007). Efft of Dt of Sowing n S Rt on For Proution Potntil n Eonomis of Fil Bn Gnotyps unr Rin f Conition. Krntk J. Agri. Si. 20(1): Zhou XB, Chn YH, Ouyng Z (2011). Row sping fft on lf r vlopmnt, light intrption, rop growth n grin yil of summr soyn rops in Northrn Chin. Afr. J. Agri. Rs. 6(6):

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

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

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

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

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

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

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

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

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

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

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

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

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

(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

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

, 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

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

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

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

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

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

Selection of Brahman crossbred-breeding bulls based on phenotypic performance

Selection of Brahman crossbred-breeding bulls based on phenotypic performance Sltion of Brhmn rossr-ring ulls s on phnotypi prformn MM Hqu 1, MA Hoqu* 1, NG Sh 1,2, AKFH Bhuiyn 1, MM Hossin 3, MA Hossin 4 1 Dprtmnt of Animl Bring n Gntis, Bnglsh Agriulturl Univrsity, Mymnsingh;

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

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

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

Meta-analysis the effect of nitrogen fertilizer on quantitative and qualitative characteristics of sugar beet

Meta-analysis the effect of nitrogen fertilizer on quantitative and qualitative characteristics of sugar beet ISSN No. (Print): 7-3 ISSN No. (Onlin): 224-323 Mt-nlysis th fft of nitrogn frtilizr on quntittiv n qulittiv hrtristis of sugr t Mhi Sghi-Sho*, Driush Fthollh Tlghni* n Frz Pknj* *Sugr Bt S Institut (SBSI),

More information

A COMPARATIVE EVALUATION OF ROOTSTOCKS FOR VALENCIA

A COMPARATIVE EVALUATION OF ROOTSTOCKS FOR VALENCIA GARDNER AND HORANIC: ROOTSTOCK EVALUATION 123 13. Mors, Phillip C, Jr. 1957. History, Propgtion, n Distriution of th Murott (Smith Tngrin). Flori Tng rin Cooprtiv, Lkln. 14. Rygg, G. L, n M. R. Gtty. 1955.

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

Journal of Integrative Agriculture 2017, 16(0): Available online at ScienceDirect

Journal of Integrative Agriculture 2017, 16(0): Available online at  ScienceDirect Journl o Intgrtiv Agriultur 2017, 16(0): 60345-7 Avill onlin t www.sinirt.om SinDirt RESEARCH ARTICLE Grin yil n wtr us iiny o supr ri unr soil wtr iit n ltrnt wtting n rying irrigtion ZHOU Qun 1, JU Chng-xin

More information

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

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

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

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

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

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

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

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

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

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

# 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

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

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

Paul E. Nyren, Qingwu Xue, Ezra Aberle, Gordon Bradbury, Eric Eriksmoen, Mark

Paul E. Nyren, Qingwu Xue, Ezra Aberle, Gordon Bradbury, Eric Eriksmoen, Mark Composition n Proution of Prnnil Grsss for Bioful Proution in Cntrl n Wstrn North Dkot 2 1 3 4 5 Pul E. Nyrn, Qingwu Xu, Ezr Arl, Goron Brury, Eri Eriksmon, Mrk 6 7 7 2 2 2 Hlvorson, Kris Nihols, Mrk Liig,

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

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

Experimental set ups. Colin Campbell. Thames Valley Cocoa Club 27 August 2008

Experimental set ups. Colin Campbell. Thames Valley Cocoa Club 27 August 2008 Exprimntl st ups Colin Cmpll Thms Vlly Coo Clu 27 August 2008 In th Fr Est th prinipl pst spis r th mosquito ugs Hlopltis thivor n H. ryi (n H. lvifr in Ppu Nw Guin). In Wst Afri Shlrgll singulris is usully

More information

Bulgarian Journal of Agricultural Science, 13 (2007), National Centre for Agrarian Sciences

Bulgarian Journal of Agricultural Science, 13 (2007), National Centre for Agrarian Sciences 325 Bulgrin Journl of Agriulturl Sin, 13 (27), 325-331 Ntionl Cntr for Agrrin Sins Enhnmnt of P, K, C, Zn n F Aumultion in Grni Plnts (Grni jsminois) Grown in Nutrint Solution s Funtion of P n F Intrtion

More information

Similarity Search. The Binary Branch Distance. Nikolaus Augsten.

Similarity Search. The Binary Branch Distance. Nikolaus Augsten. Similrity Srh Th Binry Brnh Distn Nikolus Augstn nikolus.ugstn@sg..t Dpt. of Computr Sins Univrsity of Slzurg http://rsrh.uni-slzurg.t Vrsion Jnury 11, 2017 Wintrsmstr 2016/2017 Augstn (Univ. Slzurg) Similrity

More information

Effect of feeding different mulberry varieties on some biological characteristics of the silkworm, Bombyx mori L.

Effect of feeding different mulberry varieties on some biological characteristics of the silkworm, Bombyx mori L. Egy. J. Pur & Appl. Si. 51 (2013) 055-060 Egyptin Journl o Pur n Appli Sin Et o ing irnt mulrry vritis on som iologil hrtristis o th silkworm, Bomyx mori L. At A. El-Bnn *1, Mrw N. Moust 2, Sou M. Mhmou

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

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

Binomials and Pascal s Triangle

Binomials 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 information

Comparison of Carcass Composition of Iranian Fat-tailed Sheep

Comparison of Carcass Composition of Iranian Fat-tailed Sheep 1348 Comprison of Crss Composition of Irnin Ft-til Shp M. R. Kiynz* Animl Sin Rsrh Institut, P.O. Box, 31585-1483, Krj, Irn ABSTRACT : Most rs of shp in Irn r pt to thir gro ologil nihs whr it is likly

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

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

6202R. between SKY and GROUND. Statement sidewalk

6202R. between SKY and GROUND. Statement sidewalk twn SKY n GROUND Sttmnt siwlk wlkwy onnting rivrsi puli zons grnlin Lirris n musums in our tim r not only rsrv rtifts n ooks ut offr iffrnt vnts to visitors, host utionl n ivi progrms, nsur flxil sps for

More information

Effect of Salinity Stress on Seed Germination Catharanthus roseus Don. Cvs. Rosea and Alba

Effect of Salinity Stress on Seed Germination Catharanthus roseus Don. Cvs. Rosea and Alba Asin Journl of Agriulturl Sins 4(2): 117-121, 212 ISSN: 241-389 Mxwll Sintifi Orgniztion, 212 Sumitt: Novmr 21, 211 Apt: Dmr 27, 211 Pulish: Mrh 26, 212 Efft of Slinity Strss on S Grmintion Cthrnthus rosus

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

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

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

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

COMPETITIVE ABILITY OF CAPSICUM ANNUUM L. RELATIVE TO THE WEED AMARANTHUS LIVIDUS L.

COMPETITIVE ABILITY OF CAPSICUM ANNUUM L. RELATIVE TO THE WEED AMARANTHUS LIVIDUS L. Journl of Hortiulturl Rsrh 216, vol. 24(1): 79-91 DOI: 1.1515/johr-216-1 COMPETITIVE ABILITY OF CAPSICUM ANNUUM L. RELATIVE TO THE WEED AMARANTHUS LIVIDUS L. Asstr OMEZINE 1 *, Jim A. TEIXEIRA DA SILVA

More information

The Influence of Rhizobium and Arbuscular Mycorrhizal Fungi on Nitrogen and Phosphorus Accumulation by Vicia faba

The Influence of Rhizobium and Arbuscular Mycorrhizal Fungi on Nitrogen and Phosphorus Accumulation by Vicia faba Annls of Botny 94: 251 258, 24 oi:1.193/o/mh135, vill onlin t www.o.oupjournls.org Th Influn of Rhizoium n Arusulr Myorrhizl Fungi on Nitrogn n Phosphorus Aumultion y Vii f YINSUO JIA, VINCENT MYLES GRAY*

More information

Formal Concept Analysis

Formal Concept Analysis Forml Conpt Anlysis Conpt intnts s losd sts Closur Systms nd Implitions 4 Closur Systms 0.06.005 Nxt-Closur ws dvlopd y B. Gntr (984). Lt M = {,..., n}. A M is ltilly smllr thn B M, if B A if th smllst

More information

Page 1. Question 19.1b Electric Charge II Question 19.2a Conductors I. ConcepTest Clicker Questions Chapter 19. Physics, 4 th Edition James S.

Page 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 information

H. Sule and B.I. Ahmed. Department of Crop Science, Adamawa State University, P.M.B. 25 Mubi, Adamawa State, Nigeria 2

H. Sule and B.I. Ahmed. Department of Crop Science, Adamawa State University, P.M.B. 25 Mubi, Adamawa State, Nigeria 2 Ami Journl of Entomology 2 (1): 22-30, 2009 ISSN 1995-8994 IDOSI Pulitions, 2009 Efft of Plnt Prout, Applition Rts n Grin Typ on th of R Flour Btl Triolium stnum Hrst (Coloptr: Tnrioni) on Stor Millt (Pnnistum

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

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

COMP108 Algorithmic Foundations

COMP108 Algorithmic Foundations Grdy mthods Prudn Wong http://www.s.liv..uk/~pwong/thing/omp108/01617 Coin Chng Prolm Suppos w hv 3 typs of oins 10p 0p 50p Minimum numr of oins to mk 0.8, 1.0, 1.? Grdy mthod Lrning outoms Undrstnd wht

More information

Journal of Solid Mechanics and Materials Engineering

Journal 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 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

NMEA 2000 GATEWAY ASSEMBLY

NMEA 2000 GATEWAY ASSEMBLY Noti NOTICE Atr omplting instllti, ths instrutis shoul pl with th prout or th ownr's utur us. NOTICE This oumnt is writtn to i our lrs n ompny srvi prsnl in th propr instllti or srvi o our prouts. Prss

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

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

Influence of Magnesium as a Major Contributor of Water Hardness on Some Cardiac Disease Risk Factors

Influence of Magnesium as a Major Contributor of Water Hardness on Some Cardiac Disease Risk Factors Influn of Mgnsium s Mjor Contriutor of Wtr Hrnss on Som Cri Diss Risk Ftors Engy Smih Sk 1* Zin Khlil El-Awmry 1 Hssn Mohm Sohy 2 Wfi Mikhil 2 1. Rgionl Cntr for Foo n F, Agriulturl Rsrh Cntr, Giz, Egypt

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

Ashoka Sarker, Abul Kashem* and Khan Towhid Osman. Department of Soil Science, University of Chittagong, Chittagong 4331, Bangladesh.

Ashoka Sarker, Abul Kashem* and Khan Towhid Osman. Department of Soil Science, University of Chittagong, Chittagong 4331, Bangladesh. Intrntionl Journl of Agriulturl Sins ISSN: 2167-0447 Vol. 2 (12), pp. 315-321, Dmr, 2012. Avill onlin t www.intrntionlsholrsjournls.org Intrntionl Sholrs Journls Full Lngth Rsrh Ppr Influn of ity finish

More information

ME 522 PRINCIPLES OF ROBOTICS. FIRST MIDTERM EXAMINATION April 19, M. Kemal Özgören

ME 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 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

Instructions for Section 1

Instructions for Section 1 Instructions for Sction 1 Choos th rspons tht is corrct for th qustion. A corrct nswr scors 1, n incorrct nswr scors 0. Mrks will not b dductd for incorrct nswrs. You should ttmpt vry qustion. No mrks

More information

Determination of Proper Gamma Radiation Dose in Mutation Breeding in Eggplant (Solanum melongena L.)

Determination of Proper Gamma Radiation Dose in Mutation Breeding in Eggplant (Solanum melongena L.) Dtrmintion of Propr Gmm Rition in Muttion Bring in Eggplnt (Solnum mlongn L.) Kmil ULUKPI 1, Bus ÖZDEMIR 2,. Ni ONUS 2 1 kniz Univrsity, Votionl Shool of Thnil Sins, Orgni griultur Progrmm, 71, ntly, Turky

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

Chapter 16. 1) is a particular point on the graph of the function. 1. y, where x y 1

Chapter 16. 1) is a particular point on the graph of the function. 1. y, where x y 1 Prctic qustions W now tht th prmtr p is dirctl rltd to th mplitud; thrfor, w cn find tht p. cos d [ sin ] sin sin Not: Evn though ou might not now how to find th prmtr in prt, it is lws dvisl to procd

More information

Effect of Various Treatments on Seed Germination Characteristics of Wild Ziziphus (Ziziphus spina-christi)

Effect of Various Treatments on Seed Germination Characteristics of Wild Ziziphus (Ziziphus spina-christi) Worl Appli Sins Journl 17 (7): 900-904, 12 ISSN 1818-4952 IDOSI Pulitions, 12 Et o Vrious Trtmnts on S Grmintion Chrtristis o Wil Ziziphus (Ziziphus spin-hristi) 1 2 3 Aolhossin Aoutli, Hm Hsnz n Mhi Hossini

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

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

On each of them are the numbers +6, 5, +4, 3, +2, 1. The two dice are rolled. The score is obtained by adding the numbers on the upper faces.

On each of them are the numbers +6, 5, +4, 3, +2, 1. The two dice are rolled. The score is obtained by adding the numbers on the upper faces. Cmrig Essntils Mthmtis Cor 8 N1.1 Homwork N1.1 Homwork 1 A thr shows hr lss 2 six-si i. On h of thm r th numrs +6, 5, +4, 3, +2, 1. Th two i r roll. Th sor is otin y ing th numrs on th uppr fs. Clult th

More information

The Effects of Temperature on the Development of Hemispherical Scale, Saissetia Coffeae (Walker)

The Effects of Temperature on the Development of Hemispherical Scale, Saissetia Coffeae (Walker) Prtnik 8(3), 381-386 (1985) Th Effts of Tmprtur on th Dvlopmnt of Hmisphril Sl, Sissti Coff (Wlkr) ABDUL GHANI IBRAHIM Dprtmnt of Plnt Prottion, Fulty of Agriultur, Univrsiti Prtnin Mlysi, 43400 Srng,

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

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

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

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

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

Solutions 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 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 information

CS61B Lecture #33. Administrivia: Autograder will run this evening. Today s Readings: Graph Structures: DSIJ, Chapter 12

CS61B Lecture #33. Administrivia: Autograder will run this evening. Today s Readings: Graph Structures: DSIJ, Chapter 12 Aministrivi: CS61B Ltur #33 Autogrr will run this vning. Toy s Rings: Grph Struturs: DSIJ, Chptr 12 Lst moifi: W Nov 8 00:39:28 2017 CS61B: Ltur #33 1 Why Grphs? For xprssing non-hirrhilly rlt itms Exmpls:

More information

Computational Biology, Phylogenetic Trees. Consensus methods

Computational Biology, Phylogenetic Trees. Consensus methods Computtionl Biology, Phylognti Trs Consnsus mthos Asgr Bruun & Bo Simonsn Th 16th of Jnury 2008 Dprtmnt of Computr Sin Th univrsity of Copnhgn 0 Motivtion Givn olltion of Trs Τ = { T 0,..., T n } W wnt

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

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

TOPIC 5: INTEGRATION

TOPIC 5: INTEGRATION TOPIC 5: INTEGRATION. Th indfinit intgrl In mny rspcts, th oprtion of intgrtion tht w r studying hr is th invrs oprtion of drivtion. Dfinition.. Th function F is n ntidrivtiv (or primitiv) of th function

More information