R. M. Balal 1*, V. Gimeno 2, M. A. Shahid 3, V. Lidon 4, A. L. Garcia 5, T. Abbas 6, F. Garcia-Sanchez 2 and U. Ghazanfer 1

Size: px
Start display at page:

Download "R. M. Balal 1*, V. Gimeno 2, M. A. Shahid 3, V. Lidon 4, A. L. Garcia 5, T. Abbas 6, F. Garcia-Sanchez 2 and U. Ghazanfer 1"

Transcription

1 AJCS 5(12): (211) ISSN: Effets of phosphorus fertiliztion on growth, lef minerl onentrtion nd xylem-phloem nutrient moility in two rootstoks of prunus (Prunus persi Prunus mygdlus) nd (Prunus insititi) in the Mediterrnen re R. M. Bll 1*, V. Gimeno 2, M. A. Shhid 3, V. Lidon 4, A. L. Gri 5, T. As 6, F. Gri-Snhez 2 nd U. Ghznfer 1 1 University College of Agriulture, University of Srgodh, (Punj) Pkistn 2 Dpto. Nutriión Vegetl. Centro de Edfologí y Biologí plid del Segur. CSIC. Cmpus Universitrio de Espinrdo. 31. Espinrdo. Muri. Spin 3 Deprtment of Hortiulture, College of Agriulture nd Life Sienes, Cornell University, New York, USA 4 EPSO (Univ. Miguel Hernández), Ctr. Beniel km 3, Orihuel (Alinte), Spin 5 Dpto. Quími Agríol. Fultd de Quími. Universidd de Muri. P.O. Box 421 Muri, Spin 6 Institute of Hortiulturl Sienes, University of Agriulture Fisld, (Punj) Pkistn *Corresponding uthor. uf_dnn777@yhoo.om Astrt The study ws onduted to investigte the effets of phosphorus fertiliztion on growth prmeters, lef minerl onentrtion nd xylem nd phloem minerl moility rtio in two lonl prunus rootstoks grown in greenhouse experiment. Trees of hyrid GF677 (Prunus persi Prunus mygdlus;) nd Pollizo Puel de Soto 11 (Prunus insititi; PP11) were grown in ontiners with 35 kg of typil soil from SE Spin (Xeri torriorthen derived from mrl). Phosphorous ws pplied to plnts in the form of monomoni phosphte in five different doses i.e.124,.248,.744, nd g plnt -1. Applition of P fertiliztion in the root medium signifintly inresed the trunk perimeter, totl lef dry weight nd totl shoot length in GF677 trees ut not in PP11 trees. The lef P, K, C, Mg, N nd Mn onentrtions were lso elevted in oth rootstoks (GF677 nd PP11). However, the lef Fe, Cu nd Zn onentrtions were not signifintly influened y P fertiliztion. In the xylem of oth rootstoks the moility rtes were higher for P, N, Mg nd K in reltion to the phloem moility rte. On the other hnd, the moility rtes of Zn, Mn nd Fe were muh lower thn in the phloem. The higher lef C, Mg nd K onentrtion in GF677 trees ws relted with oth the high moility of these nutrients in the xylem nd the low moility in the phloem. Bsed on this experiment, it seems tht the prunus rootstoks GF677 nd PP11 re not sensitive to iron hlorosis y inresing the P in the root zone nd in ddition, the GF677 improved the growth prmeters in response to enhned P level in soil. Keywords: plnt nutrition, peh, plum, iron hlorosis, mironutrients. Arevitions: GF677-Prunus hyrid (), PP11-Prunus insitit (). Introdution In Spin, peh nd netrine oupy the signifint position mong the ultivted fruit trees nd their prodution is round 29% of the Europen Union, eing the seond lrgest Europen produer fter Itly. Pehes nd netrines trees re priniplly propgted through udding the desired vrieties on vrious rootstoks (Rom nd Crlson, 1987). A wide rnge of rootstoks is ville for grfting nd udding of peh nd netrine. All these rootstoks hve vrying degrees of tree vigour nd growth, slt nd/or drought tolerne (Fulton et l., 1996; Krmer nd Boyer, 1995), resistne to pest nd diseses (Rom nd Crlson, 1987) nd lef minerl onentrtion (Boyhn et l., 1995; Rhmn et l., 211; Rokhzdi nd Toshih, 211). In the Mediterrnen ountries, rootstok reeding progrms re lso tive in the relese of new genotypes (De Jong et l., 24) y rossing vrious genotypes i.e. lmond peh hyrids. These hyrids give exellent performne euse these re more vigorous nd omptile with poor dry soil with high CCO 3 onentrtion whih n indue Fe hlorosis (Sois I Compny, R., 1995). Beside the effet of rootstok on plnt development nd folir levels of minerl nutrients, speifi rop systems suh s irrigtion rte nd/or fertiliztion re lso prtiulrly importnt in the dpttion of peh ultivtion to different growth ondition (Coni nd Monstr, 1998). The pplition of phosphorus (P) fertilizer n result in onsiderle enhnement of rop growth. However, the exessive mount of phosphorus ould use iron (Fe) defiieny in the leves due to the preipittion of ferri phosphte in the poplst of the root ( Bienfit et l., 1985), Zn defiieny (Ckmk nd Mrshner, 1987) nd ltertions in the NO 3 - nd Mo sttus (Villor et l., 22). By the ontrry, if phosphorus vilility is sre in the soil n use severe P defiieny in plnts (<.14%, Mrshner et l., 1995) diminishing eril plnt growth y reduing the lef photosyntheti tivity (Hlsted nd Lynh, 1996). Despite the importne of P fertiliztion in rop, the intertion etween rootstok nd nutrients hs een little studied.root is the unique higher plnt orgn whih is 1542

2 responsile for minerl nutrition. Xylem is the prinipl pthwy for supplying the shoot with the minerl elements essentil for growth. The xylem per se is indequte for this funtion nd sutle o-opertion etween root nd shoot is required for supplying growing orgns with the required nutrient elements (Jeshke nd Hrtung, 2). In trees, minerl nlysis of the xylem fluid lone does not provide muh informtion due to severl resons: ) the trnsport nd storge of the nutrients distriuted through the mture prts of stems nd roots (Thomidis nd Tsipouridis, 25; Jeshke nd Pte, 1995), ) omplex phloem-xylem nd xylemphloem trnsfers in leves nd stems (Kuhn et l., 1997), nd ) flututions in the onentrtion of xylem nutrients relted with the soil s wter sttus nd trnspirtion (Dmrine et l., 1995). Thus in this experiment, we studied the intertion effet etween P fertiliztion nd prunus rootstoks on growth prmeters, lef minerl onentrtion nd moility rtes of the nutrients; the pity of the nutrients to e tken up nd trnsported within oth the xylem nd phloem (Khn nd Zende, 1977). A study of these moility rtes will permit us to evlute the proesses of nutrient trnsport to show the propensity of different rootstok to rry out this tsk nd to evlute the effet of irrigtion nd fertiliztion levels, whih will e of greter prtil signifine thn the dt otined y the diret nlysis in xylem nd phloem fluids. Results Plnt growth prmeters Tle 1 shows the growth prmeters mesured in this experiment. For trees, P fertiliztion in the root medium tended to inrese the trunk perimeter, totl lef dry weight, nd totl shoot length. The highest vlues were otined with the trees treted with g of P, lthough for the trunk perimeter, the differenes mong P tretments of 22.32, nd g were sttistilly non-signifint. Menwhile, for trees, the trunk perimeter, totl lef dry weight, nd totl shoot length were not signifintly ffeted y P fertiliztion. The numer of hloroti leves inresed with the pplition of nd g P, for trees nd with pplition of 5.7 g P for trees. Lef minerl onentrtion Signifint intertions etween the rootstok nd P fertiliztion were oserved for lef onentrtion of K, Zn, Mn, Fe nd Cu (Figs. 1 nd 2). Applition of P fertilizers in the root medium did not ffet the lef K onentrtion in trees, however, in trees, pplition of 5.7g P deresed the K onentrtion lthough the differene ws not signifint in omprison to tht of 2.8 nd 22.32g P (Fig. 1). The lef Zn onentrtion ws not ffeted y P fertiliztion in trees. The prunus rooststok is mediterrnendpted tree whih n grow in lreous soil, wheres the ntgonism Zn x P only is oserved osionlly only when P fertiliztion is pplied in exessive nd during long time period), ut in trees, the onentrtion inresed with the 5.7 g reltive to other P tretments. The highest onentrtion of Mn ws oserved with the g P pplition whih differs non signifintly with nd g dose of P for trees nd with the nd 5.7 g P dose for trees. The highest onentrtion of Fe ws otined with the g of P (not signifint with g P pplition) for trees, nd with the 5.7 g of P (not signifint with nd g of P) for trees. In se of the lef Cu onentrtion, the highest vlues were oserved in the 2.8, nd g of P tretments (there were not signifint differenes mong them) for trees, nd with the 2.8 nd g of P tretments for trees (Fig. 2). On the other hnd, trees hd higher lef onentrtion of P, C, Mg, Cu nd lower lef onentrtion of K nd Zn, regrdless the irrigtion rtes. Lef N onentrtion ws not signifintly ffeted y the ultivrs or P fertiliztion (dt not shown). Xylem nd phloem minerl moility rte The only signifint intertion etween the rootstok nd P fertiliztion oserved in the xylem nd phloem mronutrients moility rte (phloem-p), wheres for trees the 5.7 g of P pplition inresed the moility rte in reltion to other P tretments, menwhile P fertiliztion did not ffet the moility rte for trees. trees hd higher xylem-c, xylem-mg, phloem-k nd lower phloem-c, phloem-mg nd xylem-k minerl moility rte thn trees, regrdless P tretments (Tle 2). On the other hnd, the xylem-p moility rte ws the highest with 2.8 g P tretment, nd the lowest with the g of P tretment (not signifint with 5.7 nd g of P) in oth nd trees. In the xylem nd phloem mironutrient moility rte signifint intertions etween rootstok nd P fertiliztion were oserved in xylem-n, phloem-n, phloem-zn, xylem-fe, phloem-fe, nd xylem-cu. In the se of xylem-n, phloem- N, phloem-zn nd xylem-fe, P fertiliztion did not ffet these moility rtes for trees (Tle 3). However, for trees, the 2.8 g nd g P tretments inresed the xylem- N moility rte, 5.7 g P tretment inresed the phloem-n nd phloem-zn moility rtes, nd g P tretment inresed the xylem-fe (not signifintly different with 2.8 nd g P tretments). The phloem-fe nd xylem-cu moility rtes were not ffeted y P fertiliztion in trees, ut in trees 2.8 g P tretment inresed oth moility rtes reltive to other P tretments. Disussion It is well known tht the rootstok type n determine the size, prodution nd fruit qulity in peh trees sine the rootstoks differ in their ility to uptke wter nd nutrients (Giorgi et l., 25). Aording to previous results, it hs een shown tht the GF677 vriety (lmond peh hyrid) hs gret potentil like rootstok in peh trees sine trees grfted on this rootstok gve higher yields, good fruit qulity nd girth expnsion thn the other rootstoks (Tsipouridis nd Thomidis, 25). The sreening tehniques for tolerne to iron hlorosis hve lso showed tht the plum Puel de Soto 11 nd the hyrid GF677 hve low degree of hlorosis (Romer et l., 1991). In our experiment, we hve demonstrted tht P fertiliztion n intert with the less ville mironutrients in lreous soil, lthough the effets of the P fertiliztion depend on rootstok nture. Although the low ville mironutrients in the lreous soil resulted in very low lef nd root Fe, Mn nd Zn onentrtions, regrdless of the P fertiliztion supply nd rootstok, the growth prmeters ws inresed y P fertiliztion in trees ut not in trees. This dt indited tht under lreous soil trees hd est skill 1543

3 Tle 1. Effet of phosphorus fertiliztion on the trunk perimeter (m), totl lef dry weight (g), totl shoot length (m) nd the numer of hloroti leves in (GF677) nd (Puel de Soto) trees t the end of experimentl period. Tretment Numer of hloroti Trunk perimeter Totl lef D.W. Totl shoot L. Rootstok P Fertilzer leves d 2.2 d d d 91.3 d d d d d d d d R ns *** *** ** ANOVA P Fertilzer ** *** *** *** R P Fertilzer ** *** *** *** Different letters in eh rootstok P fertiliztion intertion represent signifint differene t P =.5 level sed on Dunn s multiple rnge test. ns, **, *** indite non-signifint differenes nd signifint differenes t P <.1 nd.1, respetively. Lef P onentrtion (% dw) Rootstok *** Fertiliztion ns R X F ns f (B) (A) Rootstok *** Fertiliztion ns R X F ns (A) ef (B) F1 F2 F3 F4 F Lef C onentrtion (% dw) Lef Mg onentrtion (% dw) (A) (B) Rootstok *** Fertiliztion ns R X F ns Rootstok *** Fertiliztion ns R X F * Lef K onentrtion (% dw). Rootstok Rootstok Fig 1. Effet of phosphorus fertiliztion on the lef mronutrient (P, C, Mg nd K) onentrtion in leves of (GF677) nd (Puel de Soto) trees t the end of experimentl period. Eh vlue is the men of 4 repetitions. ns, *, *** indite non-signifint differenes or signifint differenes t P <.5 nd.1, respetively. Signifint differenes (P <.5) etween rootstoks x P tretments intertion re denoted with different lower se letters. Differenes etween rootstoks re indited y different upper se letters, regrdless nitrte supplementtion tretment. of dpttion sine they were more vigorous thn when they were treted with high rnge of P (446 g in the two yers). In ddition, trees hd lower lef Zn nd Cu onentrtion thn trees, however, s indited ove, the growth prmeters were higher; therefore, these trees showed lesser degree of sensitivity to this soil onditions. Moreover, hlorosis suseptiility, mesured y ounting the leves with the visul symptoms, ws ffeted y P fertiliztion, lthough there ws not ler trend s the highest hloroti lef numer ws found with the 5.7 g nd g of P tretment for trees nd in 5.7 g P tretment for trees. In other experiments, phosphte hs lso een onsidered s ftor induing hlorosis, ut this seems to e dependent on the speies or the ultivrs. Romer et l. (1991) did not oserve effets of the phosphte onentrtion on the hlorosis indution in GF677 nd Puel de Soto trees growing in hydroponi system. Smr et l. (27) lso oserved in pple trees under lreous soil tht high ville P in the soil did not inrese the hloloris symptoms. Lef nlysis showed high vlues for the elements of P, K, C, Mg, N nd Mn in oth nd rootstoks. In ontrst, there ws little Zn, Fe, Cu in leves (Thomidis et l., 27), regrdless the rootstok or the P fertiliztion level, inditing tht lreous soil use mironutrients defiieny in the leves even when the P fertiliztion is very low (Bienfit et l.,1985; Ckmk nd Mrshner, 1987). On the other hnd, the lef P onentrtion ws not ffeted y the P fertiliztion level for oth nd trees. In trees, 1544

4 Tle 2. Effet of phosphorus fertiliztion on xylem nd phloem P, N, C, Mg nd K moility rtio in trees of (GF677) nd (Puel de Soto) t the end of experimentl period. P N C Mg K Min Ftor Tretments Xylem Phloem Xylem Phloem Xylem Phloem Xylem Phloem Xylem Phloem Rootstok Fertiliztion Intertion Rootstok Fertiliztion R *** *** ns ns *** *** *** *** *** *** P Fertilzer *** ** ns ns ns ns ns ns ns ns ANOVA R P ns ns ns ns ns ns ns ns ** ns Fertilzer Different letters in eh rootstok x P fertiliztion intertion represent signifint differene t P =.5 level sed on Dunn s multiple rnge test. ns, **, *** indite non-signifint differenes or signifint differenes t P <.1,.1, respetively. 1545

5 Lef Zn onentrtion (ppm) Rootstok *** Fertiliztion *** R X F ** f d d d d d d F1 F2 F3 F4 F5 ef Rootstok ns Fertiliztion ns R X F * Lef Mn onentrtion (ppm) Lef Fe onentrtion (ppm) Rootstok ns Fertiliztion ns 1 R X F *** Rootstok *** Fertiliztion *** R X F ** d e d de d Lef Cu onentrtion (ppm) Rootstok Rootstok Fig 2. Effet of phosphorus fertiliztion on the lef mironutrient ( Zn, Mn, Fe nd Cu) onentrtion in leves of (GF677) nd (Puel de Soto) trees t the end of experimentl period. Eh vlue is the men of 4 repetitions. ns, *, **, *** indite nonsignifint differenes or signifint differenes t P <.5,.1,.1, respetively. mye this ould e due to tht the inrese in the growth prmeters, espeilly totl lef dry weight, y P fertiliztion tretments used derese in P onentrtion y dilution effet. In trees, low Fe defiieny in leves nd roots ould hve ffeted physiologil nd iohemil proesses (Fernndez et l., 28) inluding ltertions in P quisition y the roots. Moreover, our dt lso onfirmed tht prunus rootstoks hve different pities for the minerl uptke, s trees hd higher lef P, K, Zn nd Cu onentrtion ut lower lef C nd Mg onentrtion thn trees. In itrus, it hs lso een oserved tht their rootstoks differ in the fertilizer use effiieny (Mttos et l., 26), wheres trees on Rngpur lime demonstrted the ility to use N, P, nd K more effiiently nd onsequently produed more fruits thn trees on Cleoptr mndrin nd Swingle itrumelo rootstoks. Although phloem/xylem prtition proesses reflet hnges in the vilility of wter nd nutrients (Wrren nd Adms, 2), the greter rnge of moility of P in the phloem (Tle2) shows the greter effetiveness of rootstok for the trnslotion of this element tht ompensted its low moility through the xylem (Bienfit et l., 1985; Pte et l., 1998). The nitrogen shows signifintly lower vlues of moility in the xylem thn the phosphorus nd of the sme order of mgnitude in the phloem. Similr results were otined in Euliptus y Pte et l. (1998) when studying the sptil distriution of nitrogen in the phloem fluid nd lso the role of its trnsport in the xylem nd susequent storge in woody plnts (Jeshke nd Pte, 1995). The greter moility of lium in the xylem in plnts ontrsts with the findings of Kuhn et l. (1997) in Pie, in whih lium levels were higher in the phloem fluid. The lium levels in leves nd roots onfirmed tht the low onentrtion of this element in the leves of ws not due to the seletive ontrol of root sorption, ut to the diffiulties involved in its trnsport through the xylem nd its gret pity for retrnslotion (Kuhn et l., 1997). Mgnesium moility vi the xylem ws signifintly greter in lthough the trnspirtion urrent in oth rootstoks moved greter quntity of nutrients thn is stritly neessry for the plnt (Mengel nd Kiry, 21). It hs een remrked tht in Pie the Mg ontent inreses in young shoots nd tht there is xylem-phloem interhnge (Kuhn et l., 1997). The phloem of showed greter Mg moility thn tht of, whih oinides with the finding of threefold higher levels in the phloem of Eulyptus thn in the xylem, the opposite ourring with C (Pte et l., 1998). As in the se of C the lower onentrtion of Mg in the leves of the rootstok n e ttriuted oth to the ontrol of xylem trnsport (Westgte nd Boyer, 1984) nd to the greter trnslotion tht ours in the phloem (Hoking nd Pte, 1978). Of ll the nutrients, only K showed gretest moility in the xylem, lthough this ws signifintly ffeted y the rootstoks type, eing muh higher in thn in (Mengel nd Kiry, 21). The opposite ourred in the phloem (low levels ut greter in ). Both findings explin euse the onentrtion of K in leves ws higher thn in leves, unlike oserved for C nd Mg. In the se of Fe, the moility in the phloem ws extremely low for trees, proly due to low loding s result of the preipittion with the phosphte (Bienfit et l., 1985). However, its moility in the phloem is not signifintly ffeted y fertiliztion tretment. The higher vlues for phloem-fe thn xylem-fe, demonstrting tht there is sene of ny trnsporttion for this element (Hoking nd Pte, 1978); Pte et l., 1998). Mngnese moility in the phloem showed vlues higher in thn in trees, inditing the greter effiieny of trnslotion in (Pte et l., 1998). Also, the low moility of N in the xylem is not ffeted y fertiliztion tretment, ut so y the rootstok; furthermore, the lower N ontent in the leves of rootstok in omprison to tht of trees n only e explined y its ontrol in the xylem ountertrnsport. The 1546

6 Tle 3. Effet of phosphorus fertiliztion on xylem nd phloem N, Zn, Mn, Fe nd Cu moility rtio in trees of (GF677) nd (Puel de Soto) t the end of experimentl period. N Zn Mn Fe Cu Min Ftor Tretments Xylem Phloem Xylem Phloem Xylem Phloem Xylem Phloem Xylem Phloem Rootstok Fertiliztion Intertion Rootstok Fertiliztion d.15 d d.96.4 d d d.8 d d d d d.15 d d.51 d d d.46 d R *** * *** *** ns *** ns * *** ** ANOVA P Fertilzer ns ** ns * ns ns ns ns *** ns R P * *** ns ** ns ns ** ** ** ns Fertilzer Different letters in eh rootstok x P fertiliztion intertion represent signifint differene t P =.5 level sed on Dunn s multiple rnge test. ns, *, **, *** indite non-signifint differenes or signifint differenes t P <.5,.1,.1, respetively. 1547

7 highest moility vlues in the phloem were oserved for Zn, whih showed low moility in the xylem in. Both ftors determining the low onentrtion mesured in leves nd orroorting the ntgonisti reltion of this element with phosphorus (Ckmk nd Mrshner, 1987). Mteril nd methods Plnt mteril nd growth ondition Two-yer-old Prunus, Hyrid GF677 (Prunus persi x Prunus mygdlus; ) nd Pollizo Puel de Soto (Prunus insititi; ), sed on the urrent Spnish legisltion onerning vrietl purity nd snitry stte, were used in this experiment. In winter 27, the trees were plnted in 25 L plsti ontiners filled with 35 kg of n unultivted soil, Xeri torriorthent derived from mrl, hving: 32.6% snd (.5-2mm), 27% ly (<.2mm), 92.1 mmol kg -1 CEC,.4% N totl, 1.71 mgkg -1 ville P (Wtne nd Olsen, 1965), 58.3% totl CCO 3, 1.2% tive CCO 3, 1.4 g. m -3 ulk density. This volume of the ontiners ws suffiient for the roots development during the two yers of experimentl period. The trees were grown in plsti greenhouse pled in the Segur River vlley, 38º5 N, 1º4 W, with limti hrteristi of 36/16 ºC T mx./min. nd 7/5% RH mx./min. Tretments nd experimentl design Plsti ontiners of 25 L pity were rrnged in 12 rows (eh row omprised of 1 ontiners), with suffiient room etween them to llow the nopy to grow. A drip line ws run ross ll the ontiners with one self-ompensting emitter in the entre of eh ontiner where the emitters provided 4 L. h -1. The flow rtes were periodilly heked throughout the experiment with oeffiients in exess of 92% lwys eing otined. Four tensiometers of 4 m length were instlled t rndom to ssess soil humidity. When the tensiometers rehed vlues ove 25, ll the plnts were wtered until the tensiometers redings were. Wter used in this experiment hd the following hrteristis : ph of 7.63, eletril ondutivity of.88 ds. m -1, Cl - of 1.5 mmol. L -1-2, SO 4 of 2.6 mmol. L -1, HCO - 3 of 2.15 mmol. L -1, C +2 of 1.8 mmol. L -1, Mg +2 of 2.2 mmol. L -1, N + of.8 mmol. L -1 (where potssium nd rontes were not deteted). After n dpttion period (Ferury-April, 23), during whih the plnts only reeived wter, P fertiliztion tretments were strted where monomoni phosphte fertilizer (NH 4 H 2 PO 4 ) were pplied s soil pplition in the followings five tretments:.124,.248,.744, nd g of P per plnt. During the first yer eh P tretment reeived 12 pplitions of fertilizer, whih ws inresed to 18 pplitions during the seond yer in the se of.744, nd g per plnt. However,.124 nd.248 g per plnt tretments reeived 11 pplitions in n ttempt to ensure tht the lef onentrtions of phosphorus in the trees of these tretments were not s high s the levels reorded in the periodi ontrols rried out during the first yer of the experiment. Therefore, the trees reeived totl of 2.8, 5.7, 22.32, nd g of P per tree in two onseutive yers. P pplition in eh tretment ws done periodilly distriuted eqully throughout the yer. Growth prmeters At the end of the experimentl period, the growth prmeters of trunk perimeter (m) ws mesured t the height of 1 m ove the ground, totl fresh weight of lef (g), totl dry weight of lef (g), totl length of shoots (m), nd numer of hloroti leves were mesured in ll the trees. Minerl onentrtion At the end of the experiment, the minerl onentrtion of N, P, N, K, C, Mg, Fe, Mn, Zn nd Cu in leves, root nd rnh rk ws determined. The N onentrtion ws determined y the Kjeldhl method modified t semimiro sle with 5 mg of dry lef smple. Phosphorus ws determined olorimetrilly y mesuring the yellowness of the phosphovndte omplex (Chpmn nd Prker, 1961). The remining nutrients were determined y tomi sortion spetrometry (Hswell, 1991) (C, Mg, Fe, Mn, Zn nd Cu; Perkin Elmer) or emission spetrometry (Allen, 1973) (N nd K; Perkin Elmer) fter humid minerliztion with nitri-perhlori mixture of dry lef mteril. Minerl onentrtion of hloroti leves ws lso mesured t the end of the experiment. Nutrient moility rte in the xylem ws lulted s lef nutrient onentrtion/root nutrient onentrtion nd nutrient moility rte in the phloem ws lulted s rk nutrient onentrtion/lef nutrient onentrtion (Khn nd Zende, 1977). Sttistil nlysis As the design of this experiment ws two ftor ftoril so dt were sujeted to nlysis of vrine using two-wy ANOVA (SPSS sttistil pkge, Chigo, IL) with two rootstoks x five P tretments nd twelve replite plnts per omintion. When intertion term were signifint (P <.5), tretment mens were seprted using Dunn s multiple rnge test. When intertion term ws not signifint nd, min ftors (P supplementtion nd/or rootstok) were signifint, Dunn s multiple rnge test ws run to the min ftor regrdless eh other (Little nd Hills, 1987). Conlusions This experiment shows tht lreous soil typil from the Region of Muri use derese in lef Fe, Cu nd Zn onentrtion in the prunus rootstoks GF677 nd Puel de Soto. Inresing P fertiliztion did not tend to derese the lef mironutrient onentrtions ut even inresed the growth prmeters in trees. Therefore, in these onditions, we n tell tht trees re more tolernt to hlorosis indued y lreous soil when treted with high P fertiliztion. High lef C, Mg nd low K onentrtion in trees ws relted with oth the high moility of these nutrients in the xylem nd the low moility in the phloem. Aknowledgements The uthors wnt to thnk Dr. Philip Thoms, English Assoite Professor of the Muri University, for the English orretion of the mnusript. Referenes Allen CW (1973) Astrophysil Quntities, 3rd edition Bienfit HF, Vn den Briel W, Meslnd-Mul NT (1985) Free spe iron pool in roots. Plnt Physiol 78: Boyhn GE, Norton JD, Pitts JA (1995) Estlishment, Growth, nd Folir Nutrient Content of plum trees on vrious rootstoks. HortSi 3:

8 Coni E, Monstr F (1998) New lmond seletion s puttive rootstoks for peh nd lmond. Seond Interntionl Symposium on Pisthios nd Almonds. At Horti 47: Ckmk I, Mrshner H (1987) Mehnism of Phosphorus- Indued Zin-Defiieny in Cotton. III. Chnges in Physiologil Avilility of Zin in Plnts. Physiol Plnt 7: Dmrine E, Mrtin F, Crisey N, Grnier A, Hällgren, JE (1995) Xylem sp omposition: tool for investigting minerl uptke nd yling in dult sprue. Plnt Soil 7: Chpmn, H. D nd F. Prker Determintion of NPK method of nlysis for soil, plnt nd wters. Pvt. Div. Agri. Univ. Cliforni, U.S.A., pp De Jong WS, Ennett NT, De Jong DM, Bodis M (24) Cndidte gene nlysis of nthoynin pigmenttion loi in the Solnee. Theor Appl Genet 18: Fernndez V, Del Río V, Pumrino L, Igrtu E, Adí J, Adí A (28) Folir fertiliztion of peh (Prunus persi (L.) Btsh) with different iron formultions: Effets on re-greening, iron onentrtion nd minerl omposition in treted nd untreted lef surfes. Si Horti 117: Fulton AE, Wildmn WE, Begg EL, Huntington GL (1996) The evlution nd modifition of physil soil prolems. En Almond Prodution Mnul. Div. Agri Nt Resour Puli 3364, Univ. of Cliforni. USA. Giorgi M, Cpos F, Slzo J, Murri G, Bttino M, Mezzetti B (25) The rootstok effets on plnt dptility, prodution, fruit qulity, nd nutrition in the peh (v. 'Sunrest'). Si Horti 17: Hlsted M, Lynh J (1996) Phosphorus responses of C-3 nd C-4 speies. J Exp Bot 47: Hswell, SJ (1991) Atomi Asorption Spetrometry; Theory, Design nd Applitions. Elsevier, Amsterdm. Hoking PJ, Pte JS (1978) Aumultion nd distriution of minerl elements in nnul lupins (Lupinus lus nd Lupinus ngustifolius L.). Aus J Agri Res 29: Jeshke WD, Hrtung W (2) Root-shoot intertions in minerl nutrition. Plnt Soil 226: Jeshke WD, Pte JS (1995) Minerl nutrition nd trnsport in xylem nd phloem of Bnksi pronotes nd proteeous trees of dimorfi root morphology. J Exp Bot 46: Khn AA, Zende GK (1977) The side for Zn-P intertions in plnts. Plnt Soil 46: Khn AA, Zende GK (1977) The site for Zn-P intertion in plnts. Plnt Soil 46: Krmer PJ, Boyer JS, (1995) Wter reltions of plnts nd soils. Ademi Press, Sn Diego, Cliforni, USA. pp 495. Kuhn AJ, Shroder WH, Buh J (1997) On the distriution nd trnsport of minerl elements in xylem, mium nd phloem of sprue (Pie ies [L.] Krst.). Holzforshung, 51: Little, T.M., Hills, F.J., Metodos estdistios pr l investigion en l griultur. Trills, Mexio, p. 27. Mrshner H (1995) Minerl Nutrition of Higher Plnts. Ademi Press, London. pp Mttos D, Quggio JA, Cntrell H, Alv AK, Gretz DA (26) Response of young itrus trees on seleted rootstoks to nitrogen, phosphorus, nd potssium fertiliztion. J. Plnt Nutr 29: Mengel K, Kirky A (21) Priniples of Plnt Nutrition. 5th Edition. Kluwer Ademi Pulishers. Dordreht, The Netherlnds. pp 849 Pte JS, Shedley E, Arthur D, Adms M (1998) Sptil nd temporl vritions in phloem sp omposition of plnttion-grown Eulyptus gloulus. Oeologi, 117: Rhmn, MM, Adou AS, Freed H, Al Drweesh, Sofin- Azirun M (211) Responses of sulfur, nitrogen nd irrigtion wter on Ze mys growth nd nutrients uptke. Aus J Crop Si 5: Rokhzdi A, Toshih V (211) Nutrient uptke nd yield of hikpe (Cier rietinum L.) inoulted with plnt growth promoting rhizoteri. Aus J Crop Si 5: Rom CR, Crlson RF (1987) Rootstoks for fruit rops. Wiley, New York. Romer FJ, Alntr E, Delgurdi MD (1991) Chrteriztion of the tolerne to iron hlorosis in different peh rootstoks grown in nutrient solution. Plnt Soil 13: Smr SM, Shhin M, Fllhi E, Dvoodi MH, Bgheri YR, Noorgholipoor F (27) Iron defiieny of pple tree s ffeted y inresing soil ville phosphorous. J Plnt Nutr 3: 1-7 Sois I Compny R (1995) El germoplsm frutl (1ª Prte). Rzones pr un onservión. Frutiultur Profesionl 74: 6-12 Thomidis T, Sotiropoulos T, Krginnidis N, Tsipouridis C, Ppdkis I, Almliotis D Boulgrkis N (27) Effiy of three lium produts for ontrol of peh rown rot. Horttehnol 17: Thomidis T, Tsipouridis C (25) Influene of rootstoks, ph, iron supply (in nutrient solutions) nd Agroterium rdioter on hlorophyll nd iron onentrtion in leves of peh vriety. J Plnt Nutr 28: Tsipouridis C, Thomidis T (25) Effet of 14 peh rootstoks on the yield, fruit qulity, mortlity, girth expnsion nd resistne to frost dmges of My Crest peh vriety nd their suseptiility on Phytophthor itrophthor. Si Horti 13: Villor G, Moreno DA, Romero L (22) Phosphorus supply influenes the molydenum nitrte nd nitrte redutse tivity in eggplnt. J Horti Si Bioteh 77: Wtne FS, Olsen SR (1965) Test of n sori id method for determining phosphorus in wter nd NHCO3 extrts from soil. Pro Soil Si So Am 26: Westgte ME, Boyer JS (1984) Trnspirtion-Indued nd Growth-Indued Wter Potentils in Mize. Plnt Physiol 74: Wrren CR, Adms MA (2) Cpillry eletrophoresis for the determintion of mjor mino ids nd sugrs in folige: pplition to the nitrogen nutrition of slerophyllous speies. J Exp Bot 51:

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

More information

Effects of Applying Accumulator Straw in Soil on Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris under Cadmium Stress

Effects of Applying Accumulator Straw in Soil on Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris under Cadmium Stress Interntionl Conferene on Mnufturing Siene nd Engineering (ICMSE 2015) Effets of Applying Aumultor Strw in Soil on Nutrient Uptke nd Soil Enzyme Ativity of Cpsell burs-pstoris under Cdmium Stress Jin Wng1,,

More information

Applying Hyperaccumulator Straw in Cd-Contaminated Soil Enhances Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris

Applying Hyperaccumulator Straw in Cd-Contaminated Soil Enhances Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris Interntionl Conferene on Mnufturing Siene nd Engineering (ICMSE 2015) Applying Hyperumultor Strw in Cd-Contminted Soil Enhnes Nutrient Uptke nd Soil Enzyme Ativity of Cpsell burs-pstoris Jin Wng1,, Keng

More information

Review Topic 14: Relationships between two numerical variables

Review Topic 14: Relationships between two numerical variables Review Topi 14: Reltionships etween two numeril vriles Multiple hoie 1. Whih of the following stterplots est demonstrtes line of est fit? A B C D E 2. The regression line eqution for the following grph

More information

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue TITLE: OBJECTIVE: AUTHOR: SPONSORS: Effets of Drought on the Performne of Two Hyrid Bluegrsses, Kentuky Bluegrss nd Tll Fesue Evlute the effets of drought on the visul qulity nd photosynthesis in two hyrid

More information

Linear Algebra Introduction

Linear Algebra Introduction Introdution Wht is Liner Alger out? Liner Alger is rnh of mthemtis whih emerged yers k nd ws one of the pioneer rnhes of mthemtis Though, initilly it strted with solving of the simple liner eqution x +

More information

1 This question is about mean bond enthalpies and their use in the calculation of enthalpy changes.

1 This question is about mean bond enthalpies and their use in the calculation of enthalpy changes. 1 This question is out men ond enthlpies nd their use in the lultion of enthlpy hnges. Define men ond enthlpy s pplied to hlorine. Explin why the enthlpy of tomistion of hlorine is extly hlf the men ond

More information

J. Environ. Sci. & Natural Resources, 4(2): 83-87, 2011 ISSN

J. Environ. Sci. & Natural Resources, 4(2): 83-87, 2011 ISSN J. Environ. Si. & Nturl Resoures, 4(2): 83-87, 2011 ISSN 1999-7361 Totl Nutrient Uptke y Grin plus Strw n Eonomi of Fertilizer Use of Rie Muttion STL-655 Grown uner Boro Seson in Sline Are M. H. Kir, N.

More information

Table of Content. c 1 / 5

Table of Content. c 1 / 5 Tehnil Informtion - t nd t Temperture for Controlger 03-2018 en Tble of Content Introdution....................................................................... 2 Definitions for t nd t..............................................................

More information

Lecture 6: Coding theory

Lecture 6: Coding theory Leture 6: Coing theory Biology 429 Crl Bergstrom Ferury 4, 2008 Soures: This leture loosely follows Cover n Thoms Chpter 5 n Yeung Chpter 3. As usul, some of the text n equtions re tken iretly from those

More information

Project 6: Minigoals Towards Simplifying and Rewriting Expressions

Project 6: Minigoals Towards Simplifying and Rewriting Expressions MAT 51 Wldis Projet 6: Minigols Towrds Simplifying nd Rewriting Expressions The distriutive property nd like terms You hve proly lerned in previous lsses out dding like terms ut one prolem with the wy

More information

Effects of Exogenous Melatonin on Photosynthetic Characteristics of. Lettuce Seedlings under NaCl Stress

Effects of Exogenous Melatonin on Photosynthetic Characteristics of. Lettuce Seedlings under NaCl Stress Interntionl Conferene on Energy nd Environmentl Protetion (ICEEP 16) Effets of Exogenous Meltonin on Photosyntheti Chrteristis of Lettue Seedlings under NCl Stress Zesheng Yn1,,Mi Li1, ndyi Tng,* 1 College

More information

PLANT POPULATION INFLUENCES ON MAIZE PHYSIOLOGICAL RESPONSES TO NITROGEN APPLICATION

PLANT POPULATION INFLUENCES ON MAIZE PHYSIOLOGICAL RESPONSES TO NITROGEN APPLICATION PLANT POPULATION INFLUENCES ON MAIZE PHYSIOLOGICAL RESPONSES TO NITROGEN APPLICATION C.R. Boomsm nd T.J. Vyn Purdue University, West Lfyette, Indin Astrt Pst geneti improvements in mize (Ze mys L.) hve

More information

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL P3.1 Kot Iwmur*, Hiroto Kitgw Jpn Meteorologil Ageny 1. INTRODUCTION Jpn Meteorologil Ageny

More information

Effect of resource supply on interactions between foliar endophytic and root mycorrhizal fungi in perennial ryegrass

Effect of resource supply on interactions between foliar endophytic and root mycorrhizal fungi in perennial ryegrass 135 Effet of resoure supply on intertions etween folir endophyti nd root myorrhizl fungi in perennil ryegrss Q. LIU 1,. J. PRSONS 1, H. XUE 1, J.. NEWMN 2 nd S. RSMUSSEN 1 1 greserh, P.B. 118, Plmerston

More information

8 THREE PHASE A.C. CIRCUITS

8 THREE PHASE A.C. CIRCUITS 8 THREE PHSE.. IRUITS The signls in hpter 7 were sinusoidl lternting voltges nd urrents of the so-lled single se type. n emf of suh type n e esily generted y rotting single loop of ondutor (or single winding),

More information

GM1 Consolidation Worksheet

GM1 Consolidation Worksheet Cmridge Essentils Mthemtis Core 8 GM1 Consolidtion Worksheet GM1 Consolidtion Worksheet 1 Clulte the size of eh ngle mrked y letter. Give resons for your nswers. or exmple, ngles on stright line dd up

More information

Relationships between xylem vessel characteristics, calculated axial hydraulic conductance and size-controlling capacity of peach rootstocks

Relationships between xylem vessel characteristics, calculated axial hydraulic conductance and size-controlling capacity of peach rootstocks Annls of Botny Pge 1 of 5 doi:10.1093/o/mp281, ville online t www.o.oxfordjournls.org Reltionships etween xylem vessel hrteristis, lulted xil hydruli ondutne nd size-ontrolling pity of peh rootstoks Sergio

More information

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities Appendi Prtil dishrges. Reltionship Between Mesured nd Atul Dishrge Quntities A dishrging smple my e simply represented y the euilent iruit in Figure. The pplied lternting oltge V is inresed until the

More information

Probability. b a b. a b 32.

Probability. b a b. a b 32. Proility If n event n hppen in '' wys nd fil in '' wys, nd eh of these wys is eqully likely, then proility or the hne, or its hppening is, nd tht of its filing is eg, If in lottery there re prizes nd lnks,

More information

Effect of water supply on leaf area development, stomatal activity, transpiration, and dry matter production and distribution in young olive trees

Effect of water supply on leaf area development, stomatal activity, transpiration, and dry matter production and distribution in young olive trees CSIRO PUBLISHING AUTHORS PAGE PROOFS: NOT FOR CIRCULATION www.pulish.siro.u/journls/jr Austrlin Journl of Agriulturl Reserh, 2, 8, Effet of wter supply on lef re development, stomtl tivity, trnspirtion,

More information

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE V.S. Gordeev, G.A. Myskov Russin Federl Nuler Center All-Russi Sientifi Reserh Institute of Experimentl Physis (RFNC-VNIIEF)

More information

Estimation of Global Solar Radiation in Onitsha and Calabar Using Empirical Models

Estimation of Global Solar Radiation in Onitsha and Calabar Using Empirical Models Communitions in Applied Sienes ISS 0-77 Volume, umer, 0, 5-7 Estimtion of Glol Solr dition in Onitsh nd Clr Using Empiril Models M.. nuhi, J. E. Ekpe nd G. F Ieh Deprtment of Industril Physis, Eonyi Stte

More information

University of Sioux Falls. MAT204/205 Calculus I/II

University of Sioux Falls. MAT204/205 Calculus I/II University of Sioux Flls MAT204/205 Clulus I/II Conepts ddressed: Clulus Textook: Thoms Clulus, 11 th ed., Weir, Hss, Giordno 1. Use stndrd differentition nd integrtion tehniques. Differentition tehniques

More information

CALCULATING REACTING QUANTITIES

CALCULATING REACTING QUANTITIES MODULE 2 14 WORKSHEET WORKSHEET For multiple-hoie questions 1 5 irle the letter orresponding to the most orret nswer. 1 The lned eqution for the urning of utnol (C 4 H 9 OH) is given elow: C 4 H 9 OH(l)

More information

ANALYSIS AND MODELLING OF RAINFALL EVENTS

ANALYSIS AND MODELLING OF RAINFALL EVENTS Proeedings of the 14 th Interntionl Conferene on Environmentl Siene nd Tehnology Athens, Greee, 3-5 Septemer 215 ANALYSIS AND MODELLING OF RAINFALL EVENTS IOANNIDIS K., KARAGRIGORIOU A. nd LEKKAS D.F.

More information

Generalization of 2-Corner Frequency Source Models Used in SMSIM

Generalization of 2-Corner Frequency Source Models Used in SMSIM Generliztion o 2-Corner Frequeny Soure Models Used in SMSIM Dvid M. Boore 26 Mrh 213, orreted Figure 1 nd 2 legends on 5 April 213, dditionl smll orretions on 29 My 213 Mny o the soure spetr models ville

More information

Statistics in medicine

Statistics in medicine Sttistis in meiine Workshop 1: Sreening n ignosti test evlution Septemer 22, 2016 10:00 AM to 11:50 AM Hope 110 Ftm Shel, MD, MS, MPH, PhD Assistnt Professor Chroni Epiemiology Deprtment Yle Shool of Puli

More information

Lecture Notes No. 10

Lecture Notes No. 10 2.6 System Identifition, Estimtion, nd Lerning Leture otes o. Mrh 3, 26 6 Model Struture of Liner ime Invrint Systems 6. Model Struture In representing dynmil system, the first step is to find n pproprite

More information

QUADRATIC EQUATION. Contents

QUADRATIC EQUATION. Contents QUADRATIC EQUATION Contents Topi Pge No. Theory 0-04 Exerise - 05-09 Exerise - 09-3 Exerise - 3 4-5 Exerise - 4 6 Answer Key 7-8 Syllus Qudrti equtions with rel oeffiients, reltions etween roots nd oeffiients,

More information

Exercise 3 Logic Control

Exercise 3 Logic Control Exerise 3 Logi Control OBJECTIVE The ojetive of this exerise is giving n introdution to pplition of Logi Control System (LCS). Tody, LCS is implemented through Progrmmle Logi Controller (PLC) whih is lled

More information

A Study on the Properties of Rational Triangles

A Study on the Properties of Rational Triangles Interntionl Journl of Mthemtis Reserh. ISSN 0976-5840 Volume 6, Numer (04), pp. 8-9 Interntionl Reserh Pulition House http://www.irphouse.om Study on the Properties of Rtionl Tringles M. Q. lm, M.R. Hssn

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

A Non-parametric Approach in Testing Higher Order Interactions

A Non-parametric Approach in Testing Higher Order Interactions A Non-prmetri Approh in Testing igher Order Intertions G. Bkeerthn Deprtment of Mthemtis, Fulty of Siene Estern University, Chenkldy, Sri Lnk nd S. Smit Deprtment of Crop Siene, Fulty of Agriulture University

More information

Planting pattern and pre-sowing soil moisture effect on yield of soybean

Planting pattern and pre-sowing soil moisture effect on yield of soybean Legume Reserh, 38 (2) 21 : 23-24 Print ISSN:2-371 / Online ISSN:976-71 AGRICULTURAL RESEARCH COMMUNICATION CENTRE www.rjournls.om/www.legumereserh.in Plnting pttern nd pre-sowing soil moisture effet on

More information

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES PAIR OF LINEAR EQUATIONS IN TWO VARIABLES. Two liner equtions in the sme two vriles re lled pir of liner equtions in two vriles. The most generl form of pir of liner equtions is x + y + 0 x + y + 0 where,,,,,,

More information

Symmetrical Components 1

Symmetrical Components 1 Symmetril Components. Introdution These notes should e red together with Setion. of your text. When performing stedy-stte nlysis of high voltge trnsmission systems, we mke use of the per-phse equivlent

More information

Behavior Composition in the Presence of Failure

Behavior Composition in the Presence of Failure Behvior Composition in the Presene of Filure Sestin Srdin RMIT University, Melourne, Austrli Fio Ptrizi & Giuseppe De Giomo Spienz Univ. Rom, Itly KR 08, Sept. 2008, Sydney Austrli Introdution There re

More information

Engr354: Digital Logic Circuits

Engr354: Digital Logic Circuits Engr354: Digitl Logi Ciruits Chpter 4: Logi Optimiztion Curtis Nelson Logi Optimiztion In hpter 4 you will lern out: Synthesis of logi funtions; Anlysis of logi iruits; Tehniques for deriving minimum-ost

More information

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points.

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points. Prole 3: Crnot Cyle of n Idel Gs In this prole, the strting pressure P nd volue of n idel gs in stte, re given he rtio R = / > of the volues of the sttes nd is given Finlly onstnt γ = 5/3 is given You

More information

Ch. 2.3 Counting Sample Points. Cardinality of a Set

Ch. 2.3 Counting Sample Points. Cardinality of a Set Ch..3 Counting Smple Points CH 8 Crdinlity of Set Let S e set. If there re extly n distint elements in S, where n is nonnegtive integer, we sy S is finite set nd n is the rdinlity of S. The rdinlity of

More information

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals AP Clulus BC Chpter 8: Integrtion Tehniques, L Hopitl s Rule nd Improper Integrls 8. Bsi Integrtion Rules In this setion we will review vrious integrtion strtegies. Strtegies: I. Seprte the integrnd into

More information

Evaluation of Copper Sulphate Fertilizer Rates and Planting Pattern Effects on Chickpea Varieties Yield

Evaluation of Copper Sulphate Fertilizer Rates and Planting Pattern Effects on Chickpea Varieties Yield Interntionl Journl of Siene nd Advned Tehnology (ISSN 222-8386) Volume 2 No 2 Ferury 22 http://wwwijstom Evlution of Copper Sulphte Fertilizer Rtes nd Plnting Pttern Effets on Chikpe Vrieties Yield *A

More information

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35.

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35. 0.9 First ompression (0-6.3 GP) First deompression (6.3-2.7 GP) Seond ompression (2.7-35.5 GP) Seond deompression (35.5-0 GP) V/V 0 0.7 0.5 0 5 10 15 20 25 30 35 P (GP) Supplementry Figure 1 Compression

More information

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 PYTHAGORAS THEOREM 1 1 Pythgors Theorem In this setion we will present geometri proof of the fmous theorem of Pythgors. Given right ngled tringle, the squre of the hypotenuse is equl to the sum of the

More information

SUPPLEMENTARY INFORMATION. For

SUPPLEMENTARY INFORMATION. For Eletroni Supplementry Mteril (ESI) for Journl of Mterils Chemistry B. This journl is The Royl Soiety of Chemistry 217 SUPPLEMETARY IFRMATI For Phyoynin-bsed nnorrier s new nnopltform for effiient overoming

More information

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths Intermedite Mth Cirles Wednesdy 17 Otoer 01 Geometry II: Side Lengths Lst week we disussed vrious ngle properties. As we progressed through the evening, we proved mny results. This week, we will look t

More information

Appendix A: HVAC Equipment Efficiency Tables

Appendix A: HVAC Equipment Efficiency Tables Appenix A: HVAC Equipment Effiieny Tles Figure A.1 Resientil Centrl Air Conitioner FEMP Effiieny Reommention Prout Type Reommene Level Best Aville 11.0 or more EER 14.6 EER Split Systems 13.0 or more SEER

More information

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light.

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light. 1 This igrm represents the energy hnge tht ours when eletron in trnsition metl ion is exite y visile light. Give the eqution tht reltes the energy hnge ΔE to the Plnk onstnt, h, n the frequeny, v, of the

More information

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions MEP: Demonstrtion Projet UNIT 4: Trigonometry UNIT 4 Trigonometry tivities tivities 4. Pythgors' Theorem 4.2 Spirls 4.3 linometers 4.4 Rdr 4.5 Posting Prels 4.6 Interloking Pipes 4.7 Sine Rule Notes nd

More information

Annexure V PROTOCOL FOR LST

Annexure V PROTOCOL FOR LST Annexure V PROTOCOL FOR LST Numer of lotions for LST. Cotton hyrids Zones* Souther n Centrl Norther n H X B 0 0 - X 0 0 5 H X H 0 0 0 H X 0 0 - H hirsutum; B rdne; h hereum; rorium *To e optimlly divided

More information

OBJECTIVES INTRODUCTION

OBJECTIVES INTRODUCTION Deoxynivlenol umultion nd fusrium hed light severity in winter whet fter spry-inoultion with mixture or single isoltes of Fusrium grminerum L. Tmuri-Ilini nd A. W. Shfsm. Ridgetown Cmpus, University of

More information

Novel Fiber-Optical Refractometric Sensor Employing Hemispherically-Shaped Detection Element

Novel Fiber-Optical Refractometric Sensor Employing Hemispherically-Shaped Detection Element Novel Fier-Optil Refrtometri Sensor Employing Hemispherilly-Shped Detetion Element SERGEI KHOTIAINTSEV, VLADIMIR SVIRID Deprtment of Eletril Engineering, Fulty of Engineering Ntionl Autonomous University

More information

April 8, 2017 Math 9. Geometry. Solving vector problems. Problem. Prove that if vectors and satisfy, then.

April 8, 2017 Math 9. Geometry. Solving vector problems. Problem. Prove that if vectors and satisfy, then. pril 8, 2017 Mth 9 Geometry Solving vetor prolems Prolem Prove tht if vetors nd stisfy, then Solution 1 onsider the vetor ddition prllelogrm shown in the Figure Sine its digonls hve equl length,, the prllelogrm

More information

THE PYTHAGOREAN THEOREM

THE PYTHAGOREAN THEOREM THE PYTHAGOREAN THEOREM The Pythgoren Theorem is one of the most well-known nd widely used theorems in mthemtis. We will first look t n informl investigtion of the Pythgoren Theorem, nd then pply this

More information

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem.

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem. 27 Lesson 2: The Pythgoren Theorem nd Similr Tringles A Brief Review of the Pythgoren Theorem. Rell tht n ngle whih mesures 90º is lled right ngle. If one of the ngles of tringle is right ngle, then we

More information

Comparing the Pre-image and Image of a Dilation

Comparing the Pre-image and Image of a Dilation hpter Summry Key Terms Postultes nd Theorems similr tringles (.1) inluded ngle (.2) inluded side (.2) geometri men (.) indiret mesurement (.6) ngle-ngle Similrity Theorem (.2) Side-Side-Side Similrity

More information

Supporting Information

Supporting Information tom-thik Interlyer Mde of VD-Grown Grphene Film on Seprtor for dvned thium-sulfur tteries Zhenzhen Du 1, hengkun Guo 2, njun Wng 3, jun Hu 1, Song Jin 1, Timing Zhng 1, Honghng Jin 1, Zhiki Qi 1, Sen Xin

More information

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and Leture 7: iffusion of Ions: Prt : oupled diffusion of tions nd nions s desried y Nernst-Plnk Eqution Tody s topis Continue to understnd the fundmentl kinetis prmeters of diffusion of ions within n eletrilly

More information

Chem Homework 11 due Monday, Apr. 28, 2014, 2 PM

Chem Homework 11 due Monday, Apr. 28, 2014, 2 PM Chem 44 - Homework due ondy, pr. 8, 4, P.. . Put this in eq 8.4 terms: E m = m h /m e L for L=d The degenery in the ring system nd the inresed sping per level (4x bigger) mkes the sping between the HOO

More information

Learning Partially Observable Markov Models from First Passage Times

Learning Partially Observable Markov Models from First Passage Times Lerning Prtilly Oservle Mrkov s from First Pssge s Jérôme Cllut nd Pierre Dupont Europen Conferene on Mhine Lerning (ECML) 8 Septemer 7 Outline. FPT in models nd sequenes. Prtilly Oservle Mrkov s (POMMs).

More information

CHENG Chun Chor Litwin The Hong Kong Institute of Education

CHENG Chun Chor Litwin The Hong Kong Institute of Education PE-hing Mi terntionl onferene IV: novtion of Mthemtis Tehing nd Lerning through Lesson Study- onnetion etween ssessment nd Sujet Mtter HENG hun hor Litwin The Hong Kong stitute of Edution Report on using

More information

System Validation (IN4387) November 2, 2012, 14:00-17:00

System Validation (IN4387) November 2, 2012, 14:00-17:00 System Vlidtion (IN4387) Novemer 2, 2012, 14:00-17:00 Importnt Notes. The exmintion omprises 5 question in 4 pges. Give omplete explntion nd do not onfine yourself to giving the finl nswer. Good luk! Exerise

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Nme Dte hpter 9 Mintining Mthemtil Profiieny Simplify the epression. 1. 500. 189 3. 5 4. 4 3 5. 11 5 6. 8 Solve the proportion. 9 3 14 7. = 8. = 9. 1 7 5 4 = 4 10. 0 6 = 11. 7 4 10 = 1. 5 9 15 3 = 5 +

More information

Electromagnetism Notes, NYU Spring 2018

Electromagnetism Notes, NYU Spring 2018 Eletromgnetism Notes, NYU Spring 208 April 2, 208 Ation formultion of EM. Free field desription Let us first onsider the free EM field, i.e. in the bsene of ny hrges or urrents. To tret this s mehnil system

More information

Spacetime and the Quantum World Questions Fall 2010

Spacetime and the Quantum World Questions Fall 2010 Spetime nd the Quntum World Questions Fll 2010 1. Cliker Questions from Clss: (1) In toss of two die, wht is the proility tht the sum of the outomes is 6? () P (x 1 + x 2 = 6) = 1 36 - out 3% () P (x 1

More information

DETERMINING SIGNIFICANT FACTORS AND THEIR EFFECTS ON SOFTWARE ENGINEERING PROCESS QUALITY

DETERMINING SIGNIFICANT FACTORS AND THEIR EFFECTS ON SOFTWARE ENGINEERING PROCESS QUALITY DETERMINING SIGNIFINT FTORS ND THEIR EFFETS ON SOFTWRE ENGINEERING PROESS QULITY R. Rdhrmnn Jeng-Nn Jung Mil to: rdhrmn_r@merer.edu jung_jn@merer.edu Shool of Engineering, Merer Universit, Mon, G 37 US

More information

Test Generation from Timed Input Output Automata

Test Generation from Timed Input Output Automata Chpter 8 Test Genertion from Timed Input Output Automt The purpose of this hpter is to introdue tehniques for the genertion of test dt from models of softwre sed on vrints of timed utomt. The tests generted

More information

Something found at a salad bar

Something found at a salad bar Nme PP Something found t sld r 4.7 Notes RIGHT TRINGLE hs extly one right ngle. To solve right tringle, you n use things like SOH-H-TO nd the Pythgoren Theorem. n OLIQUE TRINGLE hs no right ngles. To solve

More information

CS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014

CS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014 S 224 DIGITAL LOGI & STATE MAHINE DESIGN SPRING 214 DUE : Mrh 27, 214 HOMEWORK III READ : Relte portions of hpters VII n VIII ASSIGNMENT : There re three questions. Solve ll homework n exm prolems s shown

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

Acoustic panels ACOUSTICS BUILDING FOR COMFORT AND HEALTH CEMENTED WOOD WOOL PANELS

Acoustic panels ACOUSTICS BUILDING FOR COMFORT AND HEALTH CEMENTED WOOD WOOL PANELS CEWOOD ousti pnels re nturl produt mde in Ltvi. Pnels re friendly both to environment nd humn helth, they re mde from premium qulity wood wool by dding white ement nd wter. CEWOOD pnels re omfortble nd

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

CS 573 Automata Theory and Formal Languages

CS 573 Automata Theory and Formal Languages Non-determinism Automt Theory nd Forml Lnguges Professor Leslie Lnder Leture # 3 Septemer 6, 2 To hieve our gol, we need the onept of Non-deterministi Finite Automton with -moves (NFA) An NFA is tuple

More information

3/8" Square (10 mm) Multi-Turn Cermet Trimmer

3/8 Square (10 mm) Multi-Turn Cermet Trimmer 3/8" Squre ( mm) Multi-Turn Cermet FEATURES Industril grde W t 70 C Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 1 % typil Complint to RoHS Diretive 2002/95/EC The Model is smll size

More information

b a wt ccd8 dad2 Secondary branches 15 e cd normal low b 2

b a wt ccd8 dad2 Secondary branches 15 e cd normal low b 2 A 3 1 Shoot mss (g) B Root mss (g) C 8 Primry rnhes D 8 Seonry rnhes 1 e E 8 Shoot mss/rnhes norml low 1 F 8 8 Shoot mss/root mss 8 8 Supplementl Figure 1 Aitionl phenotypi t reore from the plnts esrie

More information

How quickly can restored oyster reefs recover biogeochemical properties?

How quickly can restored oyster reefs recover biogeochemical properties? How quikly n restored oyster reefs reover iogeohemil properties? Bryn Loher, Ni R. Hurst, Lis G. Chmers Aquti Biogeohemistry Lortory, University of Centrl Florid 0 Mesures of oyster reef reovery Common

More information

Algorithm Design and Analysis

Algorithm Design and Analysis Algorithm Design nd Anlysis LECTURE 5 Supplement Greedy Algorithms Cont d Minimizing lteness Ching (NOT overed in leture) Adm Smith 9/8/10 A. Smith; sed on slides y E. Demine, C. Leiserson, S. Rskhodnikov,

More information

ALTERATION OF GEOTECHNICAL PROPERTIES OF PORTLAND LIMESTONE AND MONK'S PARK LIMESTONE UNDER SIMULATED WEATHERING

ALTERATION OF GEOTECHNICAL PROPERTIES OF PORTLAND LIMESTONE AND MONK'S PARK LIMESTONE UNDER SIMULATED WEATHERING 739 ALTERATION OF GEOTECHNICAL PROPERTIES OF PORTLAND LIMESTONE AND MONK'S PARK LIMESTONE UNDER SIMULATED WEATHERING MURPHY,W. Deprtment of Geology, University of Portsmouth, Burnby Building, Burnby Rod,

More information

PYTHAGORAS THEOREM WHAT S IN CHAPTER 1? IN THIS CHAPTER YOU WILL:

PYTHAGORAS THEOREM WHAT S IN CHAPTER 1? IN THIS CHAPTER YOU WILL: PYTHAGORAS THEOREM 1 WHAT S IN CHAPTER 1? 1 01 Squres, squre roots nd surds 1 02 Pythgors theorem 1 03 Finding the hypotenuse 1 04 Finding shorter side 1 05 Mixed prolems 1 06 Testing for right-ngled tringles

More information

Core 2 Logarithms and exponentials. Section 1: Introduction to logarithms

Core 2 Logarithms and exponentials. Section 1: Introduction to logarithms Core Logrithms nd eponentils Setion : Introdution to logrithms Notes nd Emples These notes ontin subsetions on Indies nd logrithms The lws of logrithms Eponentil funtions This is n emple resoure from MEI

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Voting Prdoxes Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Voting Prdoxes Properties Arrow s Theorem Leture Overview 1 Rep

More information

Part 4. Integration (with Proofs)

Part 4. Integration (with Proofs) Prt 4. Integrtion (with Proofs) 4.1 Definition Definition A prtition P of [, b] is finite set of points {x 0, x 1,..., x n } with = x 0 < x 1

More information

Trigonometry Revision Sheet Q5 of Paper 2

Trigonometry Revision Sheet Q5 of Paper 2 Trigonometry Revision Sheet Q of Pper The Bsis - The Trigonometry setion is ll out tringles. We will normlly e given some of the sides or ngles of tringle nd we use formule nd rules to find the others.

More information

Non herbaceous biochars (BC) exert neutral to negative influences on arbuscular mycorrhizal fungal (AMF) abundance

Non herbaceous biochars (BC) exert neutral to negative influences on arbuscular mycorrhizal fungal (AMF) abundance Non herbceous biochrs (BC) exert neutrl to negtive influences on rbusculr mycorrhizl fungl (AMF) bundnce WARNOCK, D.D., 1 MAJOR, J., 2 LEHMANN, J., 2 McBRIDE, B., 1 RILLIG, M.C. 1,3 1 Division of Biologicl

More information

ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS

ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS Dvid Miller West Virgini University P.O. BOX 6310 30 Armstrong Hll Morgntown, WV 6506 millerd@mth.wvu.edu

More information

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications AP CALCULUS Test #6: Unit #6 Bsi Integrtion nd Applitions A GRAPHING CALCULATOR IS REQUIRED FOR SOME PROBLEMS OR PARTS OF PROBLEMS IN THIS PART OF THE EXAMINATION. () The ext numeril vlue of the orret

More information

Nondeterministic Automata vs Deterministic Automata

Nondeterministic Automata vs Deterministic Automata Nondeterministi Automt vs Deterministi Automt We lerned tht NFA is onvenient model for showing the reltionships mong regulr grmmrs, FA, nd regulr expressions, nd designing them. However, we know tht n

More information

Chapter Gauss Quadrature Rule of Integration

Chapter Gauss Quadrature Rule of Integration Chpter 7. Guss Qudrture Rule o Integrtion Ater reding this hpter, you should e le to:. derive the Guss qudrture method or integrtion nd e le to use it to solve prolems, nd. use Guss qudrture method to

More information

Learning Objectives of Module 2 (Algebra and Calculus) Notes:

Learning Objectives of Module 2 (Algebra and Calculus) Notes: 67 Lerning Ojetives of Module (Alger nd Clulus) Notes:. Lerning units re grouped under three res ( Foundtion Knowledge, Alger nd Clulus ) nd Further Lerning Unit.. Relted lerning ojetives re grouped under

More information

A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS

A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS Commun. Koren Mth. So. 31 016, No. 1, pp. 65 94 http://dx.doi.org/10.4134/ckms.016.31.1.065 A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS Hrsh Vrdhn Hrsh, Yong Sup Kim, Medht Ahmed Rkh, nd Arjun Kumr Rthie

More information

THE ANALYSIS AND CALCULATION OF ELECTROMAGNETIC FIELD AROUND OVERHEAD POWER LINE HongWang Yang

THE ANALYSIS AND CALCULATION OF ELECTROMAGNETIC FIELD AROUND OVERHEAD POWER LINE HongWang Yang 5th Interntionl Conferene on Advned Mterils nd Computer Siene (ICAMCS 6) THE ANALYSIS AN CALCULATION OF ELECTROMAGNETIC FIEL AROUN OVERHEA POWER LINE HongWng Yng eprtment of eletril engineering, North

More information

SECTION A STUDENT MATERIAL. Part 1. What and Why.?

SECTION A STUDENT MATERIAL. Part 1. What and Why.? SECTION A STUDENT MATERIAL Prt Wht nd Wh.? Student Mteril Prt Prolem n > 0 n > 0 Is the onverse true? Prolem If n is even then n is even. If n is even then n is even. Wht nd Wh? Eploring Pure Mths Are

More information

Polyphase Systems. Objectives 23.1 INTRODUCTION

Polyphase Systems. Objectives 23.1 INTRODUCTION Polyphse Systems 23 Ojetives eome fmilir with the opertion of threephse genertor nd the mgnitude nd phse reltionship etween the three phse voltges. e le to lulte the voltges nd urrents for three-phse Y-onneted

More information

Journal of Horticultural Science Vol. 26, No. 1, Spring 2012, P ISSN: ( Prunus persica L.) (

Journal of Horticultural Science Vol. 26, No. 1, Spring 2012, P ISSN: ( Prunus persica L.) ( Journl of Hortiulturl Siene Vol. 26, No., Spring 2, P. 7-24 ISSN: 8-47 ( ) 7-24. 39 26 8-47 : ( Prunus persi L.) 3 *2 - - 89//: 9//8: ).. (..

More information

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix tries Definition of tri mtri is regulr rry of numers enlosed inside rkets SCHOOL OF ENGINEERING & UIL ENVIRONEN Emple he following re ll mtries: ), ) 9, themtis ), d) tries Definition of tri Size of tri

More information

The study of dual integral equations with generalized Legendre functions

The study of dual integral equations with generalized Legendre functions J. Mth. Anl. Appl. 34 (5) 75 733 www.elsevier.om/lote/jm The study of dul integrl equtions with generlized Legendre funtions B.M. Singh, J. Rokne,R.S.Dhliwl Deprtment of Mthemtis, The University of Clgry,

More information

Chapter 8 Roots and Radicals

Chapter 8 Roots and Radicals Chpter 8 Roots nd Rdils 7 ROOTS AND RADICALS 8 Figure 8. Grphene is n inredily strong nd flexile mteril mde from ron. It n lso ondut eletriity. Notie the hexgonl grid pttern. (redit: AlexnderAIUS / Wikimedi

More information

Supplemental Material

Supplemental Material Supplementl Mteril Sulfmethzine Sorption to Soil: Vegettive Mngement, ph, nd Dissolved Orgni Mtter Effets Bei Chu, Keith W. Goyne *, Stephen H. Anderson, Chung-Ho Lin 2, nd Roert N. Lerh 3 Deprtment of

More information

Supplementary material

Supplementary material 10.1071/FP11237_AC CSIRO 2012 Accessory Puliction: Functionl Plnt Biology 2012, 39(5), 379 393. Supplementry mteril Tle S1. Effect of wter regime nd genotype on different growth prmeters: spike dry mtter

More information