Soil water content during and after plant growth influence nutrient availability and microbial biomass

Size: px
Start display at page:

Download "Soil water content during and after plant growth influence nutrient availability and microbial biomass"

Transcription

1 Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3), RESEARCH ARTICLE Soil wtr ontnt uring n ftr plnt growth influn nutrint vilility n miroil iomss Rn Xu 1, 2, Yuying Shn 1, Ptr Mrshnr 2 1 Stt Ky Lortory of Grssln Agro-osystms, Collg of Pstorl Agriultur Sin n Thnology, Lnzhou Univrsity, Lnzhou, 732, Chin. 2 Shool of Agriultur, Foo n Win, Th Univrsity of Ali, South Austrli, 55, Austrli Corrsponing uthor: ptr.mrshnr@li.u.u Astrt Two xprimnts wr onut to stuy th fft of soil wtr ontnt on soil rspirtion, miroil iomss n nutrint vilility in plnt n unplnt soil. In th first xprimnt, wht ws grown in pots for four wks in soil tht ws kpt ry twn on n four wks. In th son xprimnt, soil ws mintin t 5% of wtr-holing pity (WHC) for four wks n ithr plnt with wht or lft unplnt. Aftr rmovl from th pots, soil ws kpt t 5% WHC or quikly ri to 4, 3, 2 or 1% of WHC. Th soils wr inut four wks uring whih soil rspirtion, miroil iomss n nutrint vilility wr msur. In th first xprimnt, shoot n root iomss n miroil iomss ron wr highr in onstntly moist thn onstntly ry soil, ut th rvrs ws tru for vill N. In th son xprimnt, umultiv rspirtion ws two-fol highr in plnt thn unplnt soil n rs with wtr ontnt, with smllr rs in plnt soil. Miroil iomss ron on ys 5 n 1 ws highr t 1% thn t 5% WHC in plnt soil, ut not fft y wtr ontnt in unplnt soil. W onlu tht soil miros n mintin highr rspirtion t low wtr ontnt spit low iomss us tivity pr unit iomss is high. Kywors: Dry prio, miroil iomss, plnt, rspirtion, soil wtr ontnt 1. Introution Wtr is onsir s on of th most importnt ftors influning soil nutrint vilility n miroil tivity in trrstril osystms (Clrk t l., 29). It is th mium of nutrint trnsport in soil, so lthough nutrint n wtr sorption r inpnnt prosss, thy r inxtrily link to h othr (Vits, 1972). Low wtr vilility rus omposition n nutrint yling rt (Guntins t l., 213) us th thin wtr films roun soil prtils rus iffusion of nzyms n nutrints n thus sustrt supply for miros (Ppnik n Cmpll, 1981). To ountrt th strongly ngtiv wtr potntil in ry soil, som miros umult osmorgultory ompouns (.g. polyols, sugr lhys n mino is) (Hrris, 1981), this physiologil rspons vois 72

2 73 Xu t l. miroil hyrtion n th. Plnts r n importnt sour of sustrts for soil miros through xuts n root ris (Mrino t l., 215; Brg n Smll, 29). Thus, low wtr vilility my inirtly influn miroil tivity y ruing sustrt supply u to poor plnt growth. Whn wtr ontnt flututs uring plnt growth, plnt growth my rovr in moist prios suffiintly to ompnst for poor growth uring ry prios. But th fft of flututing wtr ontnt uring plnt growth on soil nutrint vilility n miroil iomss is poorly unrstoo. Diffrns in miroil iomss, omposition n tivity twn plnt n unplnt soil hv n stui xtnsivly. In prvious stuy, w impos wtr strss uring plnt growth n foun tht th fft of low soil wtr ontnt on miros ws xrt y low orgni C input s rsult of poor plnt growth (Xu t l., 216). Howvr, th fft of intrmittnt ry on plnt n miroil iomss is unlr. Furthr, it is not lr if th rspons of miros to low wtr vilility in plnt soil ftr plnt rmovl iffrs from tht of miros in unplnt soil. Th ims of this stuy wr to trmin (i) th fft of lngth n istriution of ry prio on plnt growth, miroil iomss n nutrint vilility (Exprimnt 1), n (ii) if th fft of low wtr vilility on miros n nutrint vilility iffrs twn plnt n unplnt soil (Exprimnt 2). Th hypothss wr tht 1) plnt growth n miroil iomss will rs with lngth of th ry prio with grtr fft if th ry prio is in th rly stgs of plnt growth, n 2) th fft of rsing wtr ontnt on soil rspirtion n miroil iomss will smllr in plnt soil thn unplnt soil. Th son hypothsis ssums tht miros with grtr supply of sily vill C r mor tolrnt to strss. 2. Mtrils n Mthos 2.1. Soil Th silt lom us in th xprimnts ws ollt on th Wit Cmpus of th Univrsity of Ali (Longitu E, Ltitu S) t -1 m pth. Th sit hs Mitrrnn limt with hot, ry summr n ol, wt wintr. Th soil proprtis r: 22% sn, 6% silt, 18% ly, wtr holing pity (WHC) 371 g kg -1, ph (1:5 soil wtr rtio) 5.6, EC (1:5).1 S m -1, totl orgni C 17 g kg -1, totl orgni N 1.5 g kg -1, ulk nsity 1.3 g m -1, vill P 1 mg P kg -1 n vill N 15 mg N kg - 1. Svrl smpls wr ollt rnomly n thn pool. Th soil is Rhooxrlf oring to US Soil Txonomy. Aftr stons n littr wr rmov, th soil ws ri t 4 C, thn siv through 2 mm siv n thoroughly mix for using it for th xprimnts Exprimntl sign Two xprimnts wr onut. For Exprimnt 1, soil wtr ontnt ws just to ithr 5% (-.78 Mp) WHC or 2% (-.7 MP) WHC. Th 5% WHC ws hosn us in prvious stuis with this soil, plnts grw wll t this wtr ontnt. Thn 4 g soil (ry wight quivlnt) ws fill in pots ( m) n plnt with pr-grmint wht ss (Tritium stivum L. v. Krihuff, 15 ss pr pot). Th xprimnt h nin trtmnts with four rplits pr trtmnt tht iffr in wtring rgim (Figur 1). In CW, th soil ws mintin throughout th four wks t 5% WHC. In CD th soil ws kpt t 2% of WHC for four wks. In th othr trtmnts, th soil ws t 2% WHC for t lst th first wk. Th trtmnt nms rfr to th numr n orr of wks whr th soil ws wtr to 5% Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

3 Soil wtr ontnt ffts miroil iomss n nutrint vilility 74 WHC n wks in whih it ws not wtr (.g. DWDD n DDWD wr only wtr in th son n thir wk, rsptivly). Th pots wr pl in glsshous with nturl light. In th moist prios, wtr ontnt ws mintin t 5% WHC n monitor thr tims y y wight. During th ry prios, pots wr lft to ry until thy rh 2% (within 2 ys), ftr whih this wtr ontnt ws mintin. Aftr four wks, plnt roots n shoots wr ollt n ry wight msur. Aftr rfully rmoving ll visil roots, soils wr kpt t 4 C for th trmintion of vill N n P, wtr xtrtl orgni C (WEOC) n miroil iomss C (MBC). Figur 1. Shmti igrm of th wtring trtmnts in Exprimnt 1. Th son xprimnt ws rri out to ssss th fft of low soil wtr ontnt on miroil iomss, tivity n nutrint vilility in plnt n unplnt soil. Th soil ws just to 5% WHC. Thn, soil (4 g ry wight quivlnt) ws fill into 16 pots. To otin plnt soil, ight of th pots wr nsly plnt with pr-grmint wht ss (2 pr pot). Th high plnt nsity ws us to nsur high root nsity n thrfor ll soil in th plnt pots ws influn y roots. Th othr ight pots rmin unplnt. Th pots wr pl in glsshous with nturl light n wtr thr tims y to mintin onstnt soil wtr ontnt throughout plnt growth. Any ws grminting in th unplnt pots wr rmov. Four wks ftr plnting, whn ns plnt ovr ws stlish in th plnt pots, roots n shoots wr rmov. Th soil ws ri in fn-for ovn t 4 C within 1-3 h to fiv wtr ontnt ontnts (1, 2, 3, 4 n 5% of WHC, quivlnt to.37,.74,.11,.15,.19 g wtr g -1 soil n wtr potntils of -1.7, -.7, -.32, -.16, -.78 Mp). Ths wtr ontnts orrspon to volumtri wtr ontnts of.48,.97,.14,.19,.24 g m -3. Thn, 3 g soil (ry wight quivlnt) of h wtr ontnt trtmnt (h wtr ontnt with 12 rplits, oth plnt n unplnt soils) ws pl into PVC ors (hight 5 m n imtr 3.7 m with nylon msh s). Soil ulk nsity ws just to 1.3 g m -3 y pking th soil in th ors to th rquir hight. Thn th ors wr trnsfrr into glss jrs n kpt t 2-23 C in th rk. Th sir wtr ontnt ws mintin y wight vry two ys. Cors wr strutivly smpl on ys 5, 1 n 25 with four rplits t h hrvst for trmintion of WEOC, vill N n P, miroil iomss C (MBC), N (MBN). Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

4 Soil wtr ontnt ffts miroil iomss n nutrint vilility Anlyss Soil txtur ws trmin using th hyromtr mtho (Bowmn t l., 22). WHC ws msur using sintr glss funnl (Hins, 193). Soil ws pk into rings n just to fil ulk nsity, pl in th sintr glss funnl whih ws onnt to 1 mm wtr olumn (ψ m =1 kp) n thoroughly wtt. Th soil ws llow to rin for 48 h, ry wight of th soil ws trmin ftr ovn rying t 15 C till onstnt wight. Soil ph n EC wr msur in 1:5 (w/v) soil to rvrs osmosis (RO) wtr rtio ftr 1 h n-ovr-n shking. Soil totl orgni C ws trmin ftr Wlkly n Blk (1934). Soil totl N ws msur using th Kjlhl mtho (MKnzi n Wll, 1954). Soil rspirtion ws msur ily y quntifying th CO 2 -C onntrtion in th hsp of th jrs using Srvomx 145 infr-r nlyzr (Srvomx Group, Croworough, UK) s sri in (Sti t l., 211). Aftr h msurmnt, th jrs wr vnt using fn to rfrsh th hsp n thn rsl for msurmnt on th following y. Th CO 2 volv uring givn intrvl ws lult s th iffrn in CO 2 onntrtion twn msur n mint CO 2 onntrtion. Linr rgrssion s on injtion of known mounts of CO 2 into mpty jrs of similr siz ws us to fin th rltionship twn CO 2 onntrtion n ttor ring. Miroil iomss C (MBC) ws trmin y hloroform fumigtion-xtrtion with.5 M K 2 SO 4 t 1:4 soil to xtrtnt rtio (Vn t l., 1987). Th orgni C onntrtion in th filtr xtrt ws msur y titrtion with.33 M iifi (NH 4 ) 2 F(SO 4 ) 2.6H 2 O ftr ihromt oxition (Anrson n Ingrm, 1993). Th hloroform-lil C onntrtion is th iffrn twn fumigt n non-fumigt soil whih ws multipli y 2.64 to lult MBC (Vn t l., 1987). For miroil iomss N (MBN), th mmonium onntrtion in th K 2 SO 4 xtrt ws trmin (Willis t l., 1996; Moor t l., 2). Th iffrn twn fumigt n non-fumigt soil ws multipli y 1.75 to lult MBN (Moor t l., 2). For trmining soil vill N (mmonium + nitrt), soil ws xtrt with 2 M KCl t 1:5 soil to xtrtnt rtio in horizontl shkr t 8 rpm for on hour. Ammonium-N in th filtr xtrts ws msur s sri for MBN ftr Willis t l. (1996). Nitrt-N ws trmin s sri in Mirn t l. (21). Avill P ws trmin s sri in Kouno t l. (1995). Th P onntrtion in th xtrts ws trmin olorimtrilly oring to Murphy n Rily (1962). Wtr xtrtl orgni C (WEOC) ws xtrt t 1:5 soil:wtr rtio. Aftr 1h n ovr n shking, orgni C ws msur s sri ov for MBC Sttistil nlysis Shoot n root iomss, MBC, WEOC, N n P in xprimnt 1 wr nlyz y on-wy nlysis of vrin. Th son xprimnt ws rrng in omplt rnomiz lok sign with 2 soil trtmnts (plnt n unplnt soil) 5 wtr ontnts 3 smpling tims n 4 rplits for h smpl tim. Rpt msurs ANOVA ws prform to tst th fft of trtmnt n soil wtr ontnt ovr tim using tim s rpt msur. Th intrtion twn smpling tim n xprimntl trtmnts ws signifint. Thrfor, t of umultiv rspirtion, vill N, P, WEOC, MBC n MBN pr smpling tim wr sujt to two-wy ANOVA (trtmnt wtr ontnt) for h smpling tim sprtly. Avrg vlus wr ompr using post-ho Tuky tst. All nlyss wr rri out with Gnstt (GnStt for Winows, 18th ition, 215; VSN Intrntionl Lt, Hml Hmpst, UK). Only signifint iffrns r mntion in th txt (p<.5). Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

5 76 Xu t l. 3. Rsults 3.1. Exprimnt 1 Shoot n root iomss wr highst in th onstntly wt (CW) trtmnt n lowst in th onstntly ry (CD) trtmnt (Figur 2 n ). Shoot iomss ws mor snsitiv to th onstntly ry soil thn root iomss. For xmpl, shoot iomss ws thr tims lowr in CD thn CW whrs root iomss ws only 5% lowr in CD. Compr to CW, shoot iomss ws out 2% lowr in th trtmnt with on ry wk (DWWW). In trtmnts with two ry wks, shoot iomss ws highst in th trtmnt whih ws ry in th first n th lst wk (DWWD). Shoot iomss i not iffr twn trtmnts with two or thr ry wks, xpt in DDDW whr it ws lowr thn in DWWD n DWDW. Trtmnt iffrns wr similr for root iomss, ut with fwr signifint iffrns thn in shoot iomss. MBC h similr trtmnt iffrns s shoot n root iomss (Figur 2 ); it ws out two-fol highr in CW thn CD n mong trtmnts with two ry wks highst in DWWD. WEOC ws out 3% highr in CW thn CD ut th othr trtmnts iffr littl in WEOC (Figur 2 ). Biomss g pot -1 1,8 1,5 1,2,9,6 () Shoot f () Root,3, MBC mg kg () WEOC mg kg -1,25,2,15,1,5 (), N mg kg f f () f P mg kg (f) Figur 2. Shoot () n root iomss () of wht, miroil iomss C (), wtr xtrtl orgni C (), vill N () n vill P (f) onntrtion ftr four wks in iffrnt wtring trtmnts. Vrtil lins t th top of th rs init stnr rror. Diffrnt lttrs init signifint iffrns (P<.5, n=4). For trtmnt xplntion s Figur 1. Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

6 Soil wtr ontnt ffts miroil iomss n nutrint vilility 77 Avill N n P (Figur 2 n f) wr lowst in CW n highst in CD with grtr iffrns in vill P (CW two-fol highr thn CD) thn in vill N (CW 3% highr). Among trtmnts with vrying wtr ontnt, vill N ws lowst in th trtmnt with on wk ry (DWWW) n highst with th first thr wks ry (DDDW).Avill P ws lso lowst with on wk ry (DWWW), ut it ws highst in th trtmnt with th son wk wt (DWDD). In trtmnts with thr ry wks, vill P inrs in th following orr: DDDW< DDWD < DWDD Exprimnt Cumultiv rspirtion Cumultiv rspirtion ws out two-fol highr in plnt thn unplnt soil (Figur 3). It rs with rsing soil wtr ontnt for oth plnt n unplnt soil. In plnt soil, umultiv rspirtion rs from 5 to 2% WHC. In unplnt soil, it rs from 5 to 4% n from 2 to 1% WHC. Th rltiv rs in umultiv rspirtion ompr to 5% WHC ws smllr in plnt thn in unplnt soil. For xmpl, t 3% WHC, umultiv rspirtion ws 21% lowr in plnt soil, ut 3% lowr in unplnt soil. Cumultiv rspirtion mg CO 2 -C g -1 soil 1,4 1,2 1,,8,6,4,2, Unplnt f Plnt g Soil wtr ontnt (%WHC) Figur 3. Cumultiv rspirtion ftr 25 ys in prviously plnt n unplnt soil with 1-5% of wtr holing pity. Vrtil lins t th top of th rs init stnr rror. Diffrnt lttrs init signifint iffrns (P<.5, n=4) Miroil iomss MBC ws up to two-fol highr in plnt soil thn unplnt soil on y 5, ltr th iffrns m smllr or isppr (Figur 4). Gnrlly, MBC ws highr on y 5 thn ys 1 n 25. Th fft of soil wtr ontnt on MBC iffr twn unplnt n plnt soil n mong smpling tims. In plnt soil, MBC ws lowr t 5% thn t 1% WHC. But th rvrs ws tru for unplnt soil on ys 5 n 25 (Figur 4, ). Th rtio of umultiv rspirtion to MBC on y 25 ws out two-fol highr in plnt thn unplnt soil n two-fol lowr t 1 ompr to 5% WHC (plnt 2.1 n 5.1 mg kg -1 ; unplnt 1.1 n 2.1 mg kg -1 for 1 n 5% WHC, rsptivly). h Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

7 78 Xu t l. MBC mg kg Dy 5() Dy 1() 8 MBC mg kg Dy 25() Unplnt Plnt f f f Soil wtr ontnt (%WHC) Figur 4. Miroil iomss C onntrtions on ys 5 (), 1 () n 25 () in prviously plnt n unplnt soil with 1-5% wtr holing pity. Vrtil lins t th top of th rs init stnr rror. Diffrnt lttrs on th sm y init signifint iffrns (P<.5, n=4). MBN ws lwys out two-fol highr in plnt thn unplnt soil n hng littl ovr tim (Figur 5). In plnt n unplnt soil, MBN ws lowst t 1% WHC t ll smpling tims n it ws out two-fol highr t wtr ontnts 2% WHC thn t 1%. In unplnt soil, MBN ws lowst on y 25. In plnt soil, it ws lso lowst on y 25 t 3-5% WHC, ut not t 1 n 2% WHC. 1 Dy 5 () Dy 1 () MBN mg kg MBN mg kg Unplnt Plnt Dy 25 () Soil wtr ontnt (%WHC) Figur 5. Miroil iomss N onntrtions on ys 5 (), 1 () n 25 () in prviously plnt n unplnt soil with 1-5% wtr holing pity. Vrtil lins t th top of th rs init stnr rror. Diffrnt lttrs on th sm y init signifint iffrns (P<.5, n=4). Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

8 Soil wtr ontnt ffts miroil iomss n nutrint vilility WEOC, vill N n P WEOC onntrtion ws highr in plnt thn unplnt soil, with grtr iffrns t highr wtr ontnts (Figur 6). At 5% WHC, WEOC ws t lst two-fol highr in plnt soil thn unplnt soil, ut t 1% it ws only 2-3% highr. WEOC hng littl ovr tim. In plnt soil, WEOC rs with wtr ontnt t ll smpling tims. It ws 5-6% lowr t 1% thn t 5% WHC. Soil wtr ontnt h littl fft on WEOC in unplnt soil. On ys 1 n 25, WEOC ws lowr t 1% thn t 5% WHC, ut th iffrn ws quit smll (out 2% lowr t 1% WHC). WEOC mg kg -1,6,5,4,3,2,1 Dy 5() Dy 1() f WEOC mg kg -1,6,5,4,3,2 Dy 25() Unplnt Plnt f, Soil wtr ontnt (%WHC) Figur 6. Wtr xtrtl orgni C onntrtions on ys 5 (), 1 () n 25 () in prviously plnt n unplnt soil with 1-5% wtr holing pity. Vrtil lins t th top of th rs init stnr rror. Diffrnt lttrs on th sm y init signifint iffrns (P<.5, n=4). Avill N ws two-fol highr in unplnt thn in plnt soil (Tl 1). It hng littl ovr tim. Soil wtr ontnt h no lr fft on vill N in plnt soil. In unplnt soil on ys 5 n 1, vill N ws 1-2% highr t 1% WHC thn t highr wtr ontnts. Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

9 71 Xu t l. Tl 1. Avill N onntrtions on y ys 5, 1 n 25 in plnt n unplnt soil t 1-5% of wtr holing pity. Diffrnt lttrs on th sm y init signifint iffrns (P<.5, n=4). Trtmnt Unplnt Plnt Soil wtr ontnt (%WHC) N mg kg -1 Dy 5 Dy 1 Dy Avill P ws two to thr-fol lowr in plnt thn in unplnt soil with grtr iffrns on y 5 thn ltr (Tl 2). In unplnt soil, vill P rs with tim, whil it ws gnrlly lowst on y 5 in plnt soil. Tl 2. Avill P onntrtions on ys 5, 1 n 25 in plnt n unplnt soil t 1-5% of wtr holing pity. Diffrnt lttrs on th sm y init signifint iffrns (P<.5, n=4). Trtmnt Unplnt Plnt P mg kg -1 Soil wtr ontnt Dy 5 Dy 1 Dy 25 (%WHC) Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

10 Soil wtr ontnt ffts miroil iomss n nutrint vilility Disussion 4.2. Exprimnt 2 This stuy show tht th fft of low soil wtr ontnt on miroil iomss n nutrint vilility pns on whthr it is impos uring or ftr plnt growth. Furthr, in th son xprimnt thr wr lr iffrns in th msur prmtrs twn plnt n unplnt soil in th fft of wtr ontnt on rspirtion, miroil iomss n WEOC Exprimnt 1 Th hypothsis (plnt growth n miroil iomss will rs with lngth of th ry prio with grtr fft if th ry prio is in th rly stgs of plnt growth) nnot unquivolly pt or lin us th ssss plnt n soil prmtrs iffr littl twn th onstntly moist trtmnt n tht with on ry wk follow y thr wt wks. But ompr to CW, two or mor ry wks rs shoot n root iomss n MBC, whrs vill N ws inrs. In grmnt with prvious stuis (Mtsui n Singh, 23; Ash t l., 25, Wng t l., 214, Xu t l., 216), th fft of low wtr ontnt ws grtr for shoots thn roots us plnts invst rltivly mor ron into roots thn shoots whn wtr vilility is low to ss th rmining wtr. Th orgni C input into th soil of th smllr plnts in trtmnts with two or mor ry wks will lowr whih xplins th smllr MBC in ths trtmnts. Th highr N vilility in trtmnts with two or mor ry wks ompr to CW n xplin y lowr nutrint uptk y th smllr plnts. Th lk of iffrn twn trtmnts with iffrnt istriution of two or mor ry wks suggsts tht plnt growth i not rovr suffiintly in two moist wks to ompnst for th two ry wks. As xpt from prvious stuis, plnt soil h highr onntrtions of WEOC, MBC/N n lso highr umultiv rspirtion thn unplnt soil (Hyns n Frnis, 1993; Liu t l., 212). This n xplin y th grtr sustrt supply in plnt soils vi root xuts n root frgmnts tht woul sour of nutrints for miros (Wilung t l., 1975; Mrshnr, 212) Howvr, rls of C n N y hloroform from root frgmnts oul lso l to n ovrstimtion of miroil iomss (Mullr t l., 1992). Diffrns in MBC/N twn plnt n unplnt soil m smllr ovr tim us MBC/N rs in plnt soil, initing pltion of rltivly sily omposl nutrints ftr sprtion from th roots. Avill N n P s wll s EC wr lowr in plnt soil thn unplnt soil s rsult of nutrint uptk y th plnts (Mrshnr, 212). Th highr ph suggsts prominnt nitrt uptk (Ny, 1981) whih is orroort y th low nitrt onntrtions in plnt soil (t not shown). Th rution in MBC t 2% WHC ompr to 5% in Exprimnt 2 ws smllr thn in Exprimnt 1 us, in Exprimnt 1, low wtr ontnt fft oth plnt growth n soil miros. In Exprimnt 2 on th othr hn, plnts grw in moist soil n iffrnt wtr ontnts wr only impos ftr rmovl of shoots n roots. Th hypothsis tht th fft of rsing wtr ontnt on soil rspirtion n miroil iomss will smllr in plnt soil thn unplnt soil nnot unquivolly pt or lin us th wtr ontnt fft pn on th ssss prmtrs. In plnt ut not in unplnt soil, WEOC onntrtion rs with wtr ontnt. Th plnts wr grown unr wll-wtr onitions, thrfor it n ssum tht th WEOC onntrtion ws similr in ll wtr trtmnts for rying. Th f- Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

11 712 Xu t l. ft of wtr ontnt on WEOC ws pprnt on y 5. Drying my hv us WEOC to in to soil prtils s wtr films m thinnr. Ltr, WEOC onntrtion my lso influn y miroil utiliztion n turnovr s isuss low. Wtr ontnt influn WEOC only in plnt soil whr onntrtions wr up to two-fol grtr thn in unplnt soil. Cumultiv rspirtion rs with wtr ontnt in plnt n unplnt soil whih n xplin y thinning of wtr films roun soil prtils s soil ris whih will ru sustrt iffusion to lls. At vry low wtr ontnt, wtr my lso rwn out of th lls (Ilstt t l., 2). As rsult, th rtio of umultiv rspirtion to MBC on y 25 ws twofol highr t 5% thn t 1% WHC. Th rltiv rution of umultiv rspirtion with wtr ontnt ws slightly lss in plnt thn unplnt soil (t 1% WHC ompr to 5% WHC, umultiv rspirtion ws 49 n 42% in plnt n unplnt soil). This suggsts tht in plnt soil, miros r ttr l to rmin tiv in ry soil, likly u to grtr sustrt vilility. At highr sustrt onntrtion in th soil solution, miros my hv ss to sustrts vn whn th wtr film is thin. This is orroort y th two-fol highr rtio of umultiv rspirtion to MBC on y 25 t 1% WHC in plnt thn unplnt soil. Wtr ontnt only h onsistnt fft on MBC n MBN in plnt soil whr onntrtions wr up to two-fol highr thn in unplnt soil. In plnt soil, MBC on ys 5 n 1 ws lowst t 5% n highst t 1% WHC. This is likly u to iffrns in miroil turnovr. At 5% WHC, miros will rpily ompos th root posits lft ftr th rmovl of th plnts n prt of th miroil iomss i ftr pltion of rily vill sustrts. Th smll iomss t 5% WHC h high rspirtion rts s lso init y th high rtio of umultiv rspirtion to MBC. Th tiv iomss is likly to hv high turnovr rts whih n xplin th highr WEOC onntrtions t this wtr ontnt. At 1% WHC on th othr hn, miroil tivity ws low (two-fol lowr rtio of umultiv rspirtion to MBC thn t 5% WHC) n thus root posits only slowly ompos. Thrfor, mor sustrt rmin ftr 5 n 1 ys in ry soil whih mintin grtr miroil iomss. MBC rs ovr tim only in plnt soil whih os not sm to u to orgni C vilility us WEOC onntrtions rmin unhng throughout th xprimnt. Howvr, WEOC omposition my hv hng. It is known tht issolv orgni C (DOC) in soil n inlu simpl s wll s omplx ompouns (Amon n Bnnr, 1996). In this stuy, it is likly tht t th strt of th inution, WEOC in plnt soil ws minly sily omposl ompouns from root xuts n root ll lysts. Ltr s MBC rs, grtr proportion of WEOC ws miroil-riv whih my mor omplx n thus lss rily omposl thn root xuts. In ontrst to MBC, MBN in plnt soil ws lowst t 1% n highst t 5% WHC. Msur vill N onntrtions wr not influn y wtr ontnt. Howvr, N vilility is trmin t 1:5 soil to KCl rtio, thus t vry high wtr ontnt. It is likly tht t low wtr ontnt, iffusion of N to lls n thus N uptk y miros ws ru. Th ontrsting fft of wtr ontnt on MBC n MBN in plnt soil oul u to iffrnt lvls of miroil tivity. Th MBC/MBN rtio ws Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

12 Soil wtr ontnt ffts miroil iomss n nutrint vilility 713 wir t 1% thn t 5% WHC (13 n 35). Growing miros hv nrrowr MBC/MBN rtio us thy ontin mor N-ompouns (.g. protins, nzyms) thn lls in sttionry phs (Frnknrgr n Dik, 1983). Thus, th nrrow MBC/MBN rtio t 5% WHC is in grmnt with th high rtio of umultiv rspirtion to MBC, oth initing highly tiv miros. Th lss tiv miroil iomss t 1% WHC h wir MBC/MBN rtio n lowr rtio of umultiv rspirtion to MBC. Soil wtr ontnt h no lr fft on vill N n P n ny iffrns mong wtr ontnts wr smll. This suggsts tht soil wtr ontnt i not influn th rtio of minrliztion to immoiliztion whih lso i not hng ovr tim. 5. Conlusions Th first xprimnt show tht th ngtiv fft of low wtr ontnt on miroil iomss C is xrt if th soil is ry uring plnt growth likly u to th lowr orgni C input into th soil y th smllr rought-strss plnts. Distriution of two or thr ry wks h littl fft on th msur prmtrs suggsting tht plnts oul not rovr in on or two moist wks. From th son xprimnt w n onlu tht miros in plnt soil n mintin highr rspirtion in ry soil spit low iomss us tivity pr unit iomss is high. Nvrthlss, rspirtion ws lowr t low wtr ontnt ompr to optiml wtr ontnt (5% WHC) initing tht sustrt vilility ws ru. Furthr, MBC in prviously plnt soil rs uring th 25-y inution whih inits tht high tivity my not mintin muh longr. Aknowlgmnts Rn Xu thnks th Chins Sholrship Counil for proviing th sholrship. Rfrns Amon, R.M.W., Bnnr, R Btril utiliztion of iffrnt siz lsss of issolv orgni mttr. Limnol. Onogr. 41, Anrson, J., Ingrm, J Colorimtri trmintion of mmonium. Tropil Soil Biology n Frtility, A Hnook of Mthos, son. CAB Intrntionl, Wllingfor, UK, pp: Ash, F., Dingkuhn, M., Sow, A., Aurt, A. 25. Drought-inu hngs in rooting pttrns n ssimilt prtitioning twn root n shoot in upln ri. Fil Crops Rs. 93, Brg, G., Smll, K. 29. Plnt spis n soil typ ooprtivly shp th strutur n funtion of miroil ommunitis in th rhizosphr. Fms Miroiol. Eol. 68, Bowmn, G., Hutk, J., MKnzi, N., Coughln, K., Crsswll, H. 22. Prtil siz nlysis. Soil physil msurmnt n intrprttion for ln vlution. CSIRO pulishing, pp: Clrk, J.S., Cmpll, J.H., Grizzl, H., Aost- Mrtinz, V., Zk, J.C. 29. Soil miroil ommunity rspons to rought n pripittion vriility in th Chihuhun Dsrt. Miro. ol. 57, Frnknrgr, W., Dik, W Rltionships twn nzym tivitis n miroil growth n tivity inis in soil. Soil Si. So. Am. J. 47, Guntins, M.E., Gil-Sotrs, F., Liros, M.C., Trsr- Cp, C Snsitivity of soil rspirtion to moistur n tmprtur. J. Soil Si. Plnt Nutr. 13, Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

13 714 Xu t l. Hins, W.B Stuis in th physil proprtis of soil. V. Th hystrsis fft in pillry proprtis, n th mos of moistur istriution ssoit thrwith. J. Agr. Si. 2, Hrris, R Efft of wtr potntil on miroil growth n tivity. Wtr potntil rltions in soil miroiology. Soil Sin Soity of Amri, Mison, pp: Hyns, R., Frnis, G Chngs in miroil iomss C, soil rohyrt omposition n ggrgt stility inu y growth of slt rop n forg spis unr fil onitions. J. Soil Si. 44, Ilstt, U., Norgrn, A., Mlmr, A. 2. Optimum soil wtr for soil rspirtion for n ftr mnmnt with gluos in humi tropil risols n orl mor lyr. Soil Biol. Biohm. 32, Kouno, K., Tuhiy, Y., Ano, T Msurmnt of soil miroil iomss phosphorus y n nion xhng mmrn mtho. Soil Biol. Biohm. 27, Liu, D., Fng, S., Tin, Y., Dun, X Vrition in rhizosphr soil miroil inx of tr spis on ssonl flooing ln: An in situ rhizoox pproh. Appl. Soil Eol. 59, Mrshnr, P Minrl Nutrition of Highr Plnts. Elsvir, pp: Mtsui, T., Singh, B. 23. Root hrtristis in owp rlt to rought tolrn t th sling stg. Exp. Agr. 39, MKnzi, H., Wll, H.S Th Kjlhl trmintion of nitrogn: ritil stuy of igstion onitions-tmprtur, tlyst, n oxiizing gnt. Aust. J. Chm. 7, Mrino, C., Nnnipiri, P., Mtus, F Soil ron ontroll y plnt, miroorgnism n minrlogy intrtions. J. Soil Si. Plnt Nut. 15, Mirn, K.M., Espy, M.G., Wink, D.A. 21. A rpi, simpl sptrophotomtri mtho for simultnous ttion of nitrt n nitrit. Nitri Oxi. 5, Moor, J., Klos, S., Tti, M. 2. Soil miroil iomss ron n nitrogn s fft y ropping systms. Biol. Frt. Soils. 31, Mullr, T., Jorgnsn, R., Myr, B Estimtion of soil miroil iomss C in th prsn of living roots y fumigtionxtrtion. Soil Biol. Biohm. 24, Murphy, J., Rily, J.P A moifi singl solution mtho for th trmintion of phospht in nturl wtrs. Anl. Chim. At. 27, Ny, P Chngs of ph ross th rhizosphr inu y roots. Plnt Soil. 61, Ppnik, R., Cmprll, G Thory n msurmnt of wtr potntil. Wtr potntil rltions in soil miroiology. Soil Sin Soity of Amri, Mison Sti, R., Mrshnr, P., Blok, J., Chittlorough, D., Vrm, V Rltionships twn ron ioxi mission n soil proprtis in slt-fft lnsps. Soil Biol. Biohm. 43, Vn, E., Brooks, P., Jnkinson, D An xtrtion mtho for msuring soil miroil iomss C. Soil iol. Biohm. 19, Vits, F Wtr fiits n nutrint vilility. Wtr fiits n plnt growth. Ami Prss, Nw York, pp: Wlkly, A., Blk, I.A An xmintion of th Dgtjrff mtho for trmining soil orgni mttr, n propos moifition of th hromi i titrtion mtho. Soil Si. 37, Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

14 Soil wtr ontnt ffts miroil iomss n nutrint vilility 715 Wng, X., Mohm, I., Xi, Y., Chn, F Effts of wtr n potssium strsss on potssium utiliztion ffiiny of two otton gnotyps. J. Soil Si. Plnt Nut. 14, Wilung, R., Grln, T., Bushom, R Th intrpnnt ffts of soil tmprtur n wtr ontnt on soil rspirtion rt n plnt root omposition in ri grssln soils. Soil Biol. Biohm. 7, Willis, R.B., Montgomry, M.E., Alln, P.R Improv mtho for mnul, olorimtri trmintion of totl Kjlhl nitrogn using sliylt. J Agr Foo Chm. 44, Xu, R., Shn, Y., Mrshnr, P Low soil wtr ontnt uring plnt growth influns soil rspirtion n miroil iomss ftr plnt rmovl n rwtting. J. Soil Si. Plnt Nut. 16, Journl of Soil Sin n Plnt Nutrition, 217, 17 ( 3),

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

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

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

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

# 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

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

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

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

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

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

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

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

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

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

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

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

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

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

, 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

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

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

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

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

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 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

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

Ammonium fixation and release by clay minerals as influenced by potassium

Ammonium fixation and release by clay minerals as influenced by potassium Plnt Soil Environ. Vol. 6, 21, No. 7: 325 331 Ammonium fixtion n rls y ly minrls s influn y potssium H.W. Shrr, E. Fils, P. Butrs Dprtmnt of Plnt Nutrition, Institut of Crop Sin n Rsour Consrvtion, Univrsity

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

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

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

Weighted graphs -- reminder. Data Structures LECTURE 15. Shortest paths algorithms. Example: weighted graph. Two basic properties of shortest paths

Weighted graphs -- reminder. Data Structures LECTURE 15. Shortest paths algorithms. Example: weighted graph. Two basic properties of shortest paths Dt Strutur LECTURE Shortt pth lgorithm Proprti of hortt pth Bllmn-For lgorithm Dijktr lgorithm Chptr in th txtook (pp ). Wight grph -- rminr A wight grph i grph in whih g hv wight (ot) w(v i, v j ) >.

More information

CORRELATION ANALYSIS OF NUTRIENTS, ENZYMES, AND MICROBIAL BIOMASS IN SOILS WITH PHENOLICS OF Artemisia annua L.

CORRELATION ANALYSIS OF NUTRIENTS, ENZYMES, AND MICROBIAL BIOMASS IN SOILS WITH PHENOLICS OF Artemisia annua L. Pk. J. Agri. Si., Vol. 56(1), 171-178; 219 ISSN (Print) 552-934, ISSN (Onlin) 276-96 DOI:1.21162/PAKJAS/19.565 http://www.pkjs.om.pk CORRELATION ANALYSIS OF NUTRIENTS, ENZYMES, AND MICROBIAL BIOMASS IN

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Compression. Compression. Compression. This part of the course... Ifi, UiO Norsk Regnesentral Vårsemester 2005 Wolfgang Leister

Compression. Compression. Compression. This part of the course... Ifi, UiO Norsk Regnesentral Vårsemester 2005 Wolfgang Leister Kurs INF5080 Ifi, UiO Norsk Rgnsntrl Vårsmstr 2005 Wolfgng Listr This prt of th ours...... is hl t Ifi, UiO... (Wolfgng Listr) n t ontins mtril from Univrsity Collg Krlsruh (Ptr Ol, Clmns Knorzr) Informtion

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

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

Development of Microbial Biomass and Enzyme Activities in Mine Soils

Development of Microbial Biomass and Enzyme Activities in Mine Soils Pol. J. Environ. Stu. Vol. 21, No. 3 (2012), 569-577 Originl Rsrh Dvlopmnt o Miroil Biomss n Enzym Ativitis in Min Soils Mrin Chok 1 *, Mri Niklińsk 2 1 Dprtmnt o Opn-strip Mining, AGH Univrsity o Sin

More information

CS 461, Lecture 17. Today s Outline. Example Run

CS 461, Lecture 17. Today s Outline. Example Run Prim s Algorithm CS 461, Ltur 17 Jr Si Univrsity o Nw Mxio In Prim s lgorithm, th st A mintin y th lgorithm orms singl tr. Th tr strts rom n ritrry root vrtx n grows until it spns ll th vrtis in V At h

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

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

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

Analysis for Balloon Modeling Structure based on Graph Theory

Analysis for Balloon Modeling Structure based on Graph Theory Anlysis for lloon Moling Strutur bs on Grph Thory Abstrt Mshiro Ur* Msshi Ym** Mmoru no** Shiny Miyzki** Tkmi Ysu* *Grut Shool of Informtion Sin, Ngoy Univrsity **Shool of Informtion Sin n Thnology, hukyo

More information

Outline. Circuits. Euler paths/circuits 4/25/12. Part 10. Graphs. Euler s bridge problem (Bridges of Konigsberg Problem)

Outline. Circuits. Euler paths/circuits 4/25/12. Part 10. Graphs. Euler s bridge problem (Bridges of Konigsberg Problem) 4/25/12 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 2 Eulr s rig prolm

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

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

Effects of long-term use of different farming systems on some physical, chemical and microbiological parameters of soil quality**

Effects of long-term use of different farming systems on some physical, chemical and microbiological parameters of soil quality** Int. Agrophys., 216, 3, 165-172 oi: 1.1515/intg-215-81 Effts of long-trm us of iffrnt frming systms on som physil, hmil n miroiologil prmtrs of soil qulity** Ann M. Gj 1 *, Ew A. Czyż 3, n Anthony R. Dxtr

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

Changes of CO 2 emission and labile organic carbon as influenced by rice straw and different water regimes

Changes of CO 2 emission and labile organic carbon as influenced by rice straw and different water regimes Int. J. Environ. Si. Thnol. (2015) 12:263 274 DOI 10.1007/s13762-013-0429-3 ORIGINAL PAPER Chngs o CO 2 mission n lil orgni ron s inlun y ri strw n irnt wtr rgims M. Irhim C.-G. Co M. Zhn C.-F. Li J. Iql

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

EFFECTS OF SHADING ON SOME MORPHOLOGICAL AND PHYSIOLOGICAL CHARACTERISTICS OF BEGONIA SEMPERFLORENS

EFFECTS OF SHADING ON SOME MORPHOLOGICAL AND PHYSIOLOGICAL CHARACTERISTICS OF BEGONIA SEMPERFLORENS Pk. J. Bot., 5(6): 73-79, 8. EFFECTS OF SHADING ON SOME MORPHOLOGICAL AND PHYSIOLOGICAL CHARACTERISTICS OF BEGONIA SEMPERFLORENS YUANBING ZHANG, AIRONG LIU *, XUEPING ZHANG AND SHOUCHENG HUANG Anhui Sin

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

Walk Like a Mathematician Learning Task:

Walk Like a Mathematician Learning Task: Gori Dprtmnt of Euction Wlk Lik Mthmticin Lrnin Tsk: Mtrics llow us to prform mny usful mthmticl tsks which orinrily rquir lr numbr of computtions. Som typs of problms which cn b on fficintly with mtrics

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

Effects of arbuscular mycorrhizal fungi and Bradyrhizobium japonicum on drought stress of soybean

Effects of arbuscular mycorrhizal fungi and Bradyrhizobium japonicum on drought stress of soybean S324 Biologi, Brtislv, 61/Suppl. 19: S324 S328, 2006 Effts of rusulr myorrhizl fungi n Bryrhizoium jponium on rought strss of soyn Nssr Alisghrz, Mohmm Rz Nyshouri & Gho Slimi Dprtmnt of Soil Sin, Fulty

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

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

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

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

Section 10.4 Connectivity (up to paths and isomorphism, not including)

Section 10.4 Connectivity (up to paths and isomorphism, not including) Toy w will isuss two stions: Stion 10.3 Rprsnting Grphs n Grph Isomorphism Stion 10.4 Conntivity (up to pths n isomorphism, not inluing) 1 10.3 Rprsnting Grphs n Grph Isomorphism Whn w r working on n lgorithm

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

Plant-microbe interaction of Serratia marcescens and Scirpus mucronatus on phytoremediation of gasoline contaminated soil

Plant-microbe interaction of Serratia marcescens and Scirpus mucronatus on phytoremediation of gasoline contaminated soil Intrntionl Journl of ChmTh Rsrh CODEN( USA): IJCRGG ISSN : 0974-4290 Vol.6, No.1, pp 556-564, Jn-Mrh 2014 Plnt-miro intrtion of Srrti mrsns n Sirpus murontus on phytormition of gsolin ontmint soil Asi

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

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

period (time)? frequency?

period (time)? frequency? AQA Trilogy Unit 6.6: Wvs n Eltromgnti Wvs - Fountion 1 Complt th gp ill: All wvs trnsr rom on pl to nothr, ut th m os not mov. Th prtils osillt (v ) roun ix point n pss onto th nxt prtil n in turn thy

More information

UNCORRECTED SAMPLE PAGES 4-1. Naming fractions KEY IDEAS. 1 Each shape represents ONE whole. a i ii. b i ii

UNCORRECTED SAMPLE PAGES 4-1. Naming fractions KEY IDEAS. 1 Each shape represents ONE whole. a i ii. b i ii - Nming frtions Chptr Frtions Eh shp rprsnts ONE whol. i ii Wht frtion is shdd? Writ s frtion nd in words. Wht frtion is not shdd? Writ s frtion nd in words. i ii i ii Writ s mny diffrnt frtions s you

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

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

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

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

In which direction do compass needles always align? Why?

In which direction do compass needles always align? Why? AQA Trloy Unt 6.7 Mntsm n Eltromntsm - Hr 1 Complt t p ll: Mnt or s typ o or n t s stronst t t o t mnt. Tr r two typs o mnt pol: n. Wrt wt woul ppn twn t pols n o t mnt ntrtons low: Drw t mnt l lns on

More 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

MULTIPLE-LEVEL LOGIC OPTIMIZATION II

MULTIPLE-LEVEL LOGIC OPTIMIZATION II MUTIPE-EVE OGIC OPTIMIZATION II Booln mthos Eploit Booln proprtis Giovnni D Mihli Don t r onitions Stnfor Univrsit Minimition of th lol funtions Slowr lgorithms, ttr qulit rsults Etrnl on t r onitions

More information

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and This rtil ppr in journl pulish y Elsvir. Th tth opy is furnish to th uthor for intrnl non-ommril rsrh n ution us, inluing for instrution t th uthors institution n shring with ollgus. Othr uss, inluing

More information

Math 166 Week in Review 2 Sections 1.1b, 1.2, 1.3, & 1.4

Math 166 Week in Review 2 Sections 1.1b, 1.2, 1.3, & 1.4 Mt 166 WIR, Sprin 2012, Bnjmin urisp Mt 166 Wk in Rviw 2 Stions 1.1, 1.2, 1.3, & 1.4 1. S t pproprit rions in Vnn irm tt orrspon to o t ollowin sts. () (B ) B () ( ) B B () (B ) B 1 Mt 166 WIR, Sprin 2012,

More information

ph controlled assembly of a polybutadiene poly(methacrylic acid) copolymer in water: packing considerations and kinetic limitations

ph controlled assembly of a polybutadiene poly(methacrylic acid) copolymer in water: packing considerations and kinetic limitations Supplmtry Mtril (ESI) for Soft Mttr This jourl is Th Royl Soity of hmistry 2009 p otroll ssmly of polyuti poly(mthryli i) opolymr i wtr pkig osirtios kiti limittios hristi Fryhough, Athoy J. Ry, Giuspp

More 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

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

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

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

Practice Test I Bonding and Geometry Name Per

Practice Test I Bonding and Geometry Name Per Prti Tst Boning n Gomtry Nm Pr This is prti - Do NOT ht yourslf of fining out wht you r pl of oing. B sur you follow th tsting onitions outlin low. DO NOT USE A CALCULATOR. You my us ONLY th lu prioi tl.

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

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