Studying the morphological traits of winter barley varieties and lines in Ardabil using multivariate statistical methods
|
|
- Alexander Chandler
- 5 years ago
- Views:
Transcription
1 J. Bio. & Env. Si Journl of Biodiversity nd Environmentl Sienes (JBES) ISSN: (Print) (Online) Vol. 4, No. 3, p , RESEARCH PAPER OPEN ACCESS Studying the morphologil trits of winter rley vrieties nd lines in using multivrite sttistil methods Ali Ksrei 1*, Ali Akr Imni 1, Mreft Ghsemi 2 1 Deprtment of Agronomy nd Plnt Breeding, rnh, Islmi Azd University, Ardeil, Irn 2 Agriulturl Reserh Center of Provine, Irn Artile pulished on Mrh 22, 2014 Key words: Brley, morphologil trits, regression nlysis. Astrt We onduted n experiment t Agriulturl Reserh nd Nturl Resoures sttion loted in est 10 km from (Arlloo region) in to study the morphologil trits of few winter rley vrieties nd lines. In this reserh 8 promising vrieties nd lines of rley were ulture in omplete rndom lok design with three replitions, nd the following trits were mesured; numer of whole tiller, numer of fertile, plnt height, wn, pedunle, spike, spikelet numer spike, grin numer per spike, 1000 grin, grin per spike, grin per whole plnt, strw, grin t experimentl plot (6 squre meters to grm), hrvest index, dy numer to 50% heding nd Dte of mturity, the result from vrine nlysis of mesured trits showed tht there ws signifint differene in 5% nd 1% prole level etween studied lines exept for whole tiller numer, fertile tiller numer, grin per spike, grin per whole plnt, strw, whole plnt nd yield in other trits. This omes from high geneti diversity etween studied lines. The modified oeffiient of determintion ws 0.86 in fitted model showing 86% justifition of hnges within seed. Yield y indited vriles. The first inluded vrile in to the model ws hrvest index, the seond vrile dy to physiologil mturity nd finlly determintion oeffiient of model ws 0.86 with inlusion of spike. The mximum regression oeffiient ws relted to hrvest index nd regression oeffiient of hrvest index ws positive nd regression oeffiient dy to physiologil mturity nd spike ws negtive. So hrvest index n e onsidered s effetive trit on grin yield. The results from ustion nlysis showed tht hrvest index hs higher nd diret effet (0.613) on grin yield nd the positive orreltion oeffiient 0.54 etween hrvest index nd grin yield ws minly reltion to the diret effet of hrvest index nd the indiret effets hve less importnt role on yield. Also dy to physiologil mturity nd spike hve negtive nd diret effet. * Corresponding Author: Ali ksrei li_ksrei@ymil.om 309 Ksrei et l
2 J. Bio. & Env. Si Introdution Due to inresing popultion growth in the world sientists nd sholrs hve predited tht world popultion will e 10 millird people y 2030, now the question rises tht wht should do to supply food for suh s popultion nd wht kind of solutions should e onsidered (Ademishni nd Nejt Booshhri,1996). Aording to the most reent sttistis from Groery nd Agriulturl United Ntions, world popultion will e more thn7 millird people y Regrding present world popultion oming 40 yers, food prodution should e 3 times to supply food for 9 millird people (FAO, 2013). The popultion is inresingly grown in developing ountries however frmlnds extension is deresing nd events suh s drught, disese nd soil fertility redution is deresing produtions. Considering the importne of the issue, it is relly importnt to get wys to inrese rops yield. Evidene shows tht during 30 to 40 lst yers, t lest 50% of produt inresing of some of min rop produtions hve een gotten y reeding methods. (Frsi nd Bqeri, 1997). Among rops, rley seed is the rihest soure for effiient food supplies on humn helthy. Irnin food ontins high strh nd plnt fiers due to undne nd reltive hepness of vegetles whih n explode nd promote popultion helthy improvement if protein nd strh dereses. This is possile if the relted orgniztions produt more nd heper met nd rley seed n ritilly underlie nutrition in industril stok rising (Anonymous. 2005). The most silly wy to inrese eonomil yield of rley ultivtion is using of omptile, resistnt nd high yield vrieties proportionl to the region. In this ourse it is worthy to note tht study nd mesure of omptiility of vrieties in different onditions nd environments is importnt in plnts reding (Rhimin et l, 1993). provine hs loted in oth old ( plin in south of provine nd Cspin eh limte (Moghn plin in north of provine) onsidering rops nd Mkooee lue rley nd Bhmn re ultured in the ity. A few of rley lines nd vrieties re new in reserh nd no study nd experiment hs onduted on them in suh onditions in. In order to inrese yield in reding methods we n use topis on quntittive genetis nd understnd yield omponents tht re importnt in its improvement (Ehdei, 1996 nd Frshdfr, 1998). Before tht we should ompute yield reltion with its omponents, in the other hnds, the orreltion etween yield trit nd its relted trits nd omponents nd due to effetive ftors in vrition tht is genotype nd environment yield omponents effet should e determined (Floer, 1999 nd Fshdfr, 1999). Understnding the geneti hrteristis of trin, their reltion nd how trits ffet eh other to gin desired gols in reeding re importnt. We n determine the est reeding method nd the most effetive trits through understnding these reltions (Allh Gholipour nd Slehi, 2004). In this wy, the orreltion oeffiients etween trits re seprted into omponents tht mesure their diret nd indiret effets. I studies out yield-relted trits we use uslity method to study trits effets on yield nd the reltionship etween trits. By using this method we n nlyze the orreltion etween yield nd its omponents nd determine its diret nd indiret effets (Frshdfr, 1998 nd 1999). Leilh nd AL-khtees (2005) use 7 different sttistil methods in their reserh suh s uslity nlyze method to study the reltionship etween yield nd its omponents in drught stress. Hosseinzdeh et l (2009) in study sed on stepwise regression seed yield, s dependent vrile nd iologi yield Shoot, lef re in the nopy losure, plnt height nd dys numer to 50% flowering were inluded into the model s independent vriles. Determintion oeffiient model ws R2 = 1. Biologil yield hd diret onsiderle effet on the inresing of grin yield. The negtive diret effet of stem nd plnt height on grin yield ws offset y the positive 310 Ksrei et l
3 J. Bio. & Env. Si indiret effet vi iologil yield nd mde n inrese in orreltion of these trits with grin yield. On the ontrry, the positive diret effet of dy numer to 50% flowering on grin yield offset y negtive indiret effets vi iologil yield nd mde derese in the orreltion of this with grin yield, so the most importnt trits s seletion to improve yield inluded iologil yield. Jri et l (2012) results from stepwise multiple regression showed tht trits suh s seed numer per spike, spike, pedunle nd wn plyed the most signifint role in justifying yield hnges in oth queous onditions nd stress. The results from pth nlysis emphsized on the min roles of diret effets on grin yield nd the importne of seed numer per spike. Plnt height, durtion of reprodutive growth nd flg lef sheth plyed onsiderle role in seed yield vriility y ffeting mentioned omponents. These trits long with other determined trits n e introdued s the est seletion riterion of genotypes with high yield. This reserh ims t introduing high yield rley lines in environmentl onditions of nd determining min morphologil trits in grin yield espeilly in oldness of. Mterils nd Methods Experiment lotion This experiment ws onduted t Agriulturl reserh nd Nturl Resoures sttion in (with 1350 meters height, ltitude 38 degrees nd 15 minutes north nd longitudinl 48 degrees nd 15 minutes est nd nnully men rin mm) 10 km est from (Arlloo region) in rop yer. The physiohemil results from tested from soil smple re given in Tle 1. And the regionl limte speifitions of the experiment re given in Tle 2. Tle 1. The physiohemil results from tested frm soil smple. Tissue Perent Snd Perent Silt perent Cly Perent Lime Perent sturtion ph Slinity (ds/m) Cly lom Perent orgni ron N Resorle phosphorus Potssium Resorle Zn Fe Cu M Tle 2. Atmosphere speifitions of Experiment lotion in in rop yer. Prmeter Lol Mehr An Azr Dei Bhmn Esfnd Rinfll Averge minimum tempertures Averge mximum temperture Averge dily temperture Averge minimum humidity Averge mximum moisture Averge humidity Totl sunshine hours Soure: Meteorologil Provine 311 Ksrei et l
4 J. Bio. & Env. Si Continued Tle 2 Prmeter Lol Frvrdin Ordiehesht Khordd Tir Mordd Shhrivr Rinfll Averge minimum tempertures Averge mximum temperture Averge dily temperture Averge minimum humidity Averge mximum moisture Averge humidity Totl sunshine hours Soure: Meteorologil Provine Experiment plot In this reserh 8 promising vrieties nd lines of rley (tle 3) were ultured in omplete lok design with three replitions. The irrigtion ws trditionlly done 4 times until physiologil mturity. Eh line nd vriety were onsidered in 6 rows plots nd eh plot ws 7 meters nd the spe etween lines ws 20 m. Grin density ws 350 seeds per squre wter. Two- four-d ws used to ontrol grss nd rod lef weeds during ultivtion. Fertilizing of ultured lnd ws done sed on fertilizer dvie on soil test tillge nd disk. The following trits were mesured in this reserh; totl numer of tiller, fertile tiller numer, plnt height, wn, Pedunle, spike, spikelet numer per spike, grin numer per spike, 1000 grin, grin per spike, grin per whole plnt, strw, grin yield per experimentl plot (6 meter squre to grm) hrvest index, dy to 50% heding nd dy to physiologil mturity. Tle 3. Nmes the studied genotypes. Numer Genotype nd Line Numer Genotype nd Line 1 Bhmn 5 Bereke-54/Alnd 2 ALGER/(CI10117/CHOYO.. //1-BC Deut/5/B/A/4/A/3/Jotun/5*Hudson //Ri/VA /6/K-273/Ste 3 ALGER/(CI10117/CHOYO..//Zrjow/U.N.K 7 L.1242/ZARJOW//LB.Irn/Un8271 /Glori"S"/Com"S" 4 Ste/L.640//Hml-02/Ari Aid*2/ 3/1- BC Legi/3/Torsh/9Cr //Bgs Sttistil nlysis Vrine nlysis ws used in ompleted rndom lok design to study the differene mong vrieties. Dunn tril ws used in 5% prole level to ompre the men of intertions nd simple effets. Computer soft wres suh s SPSS 18 nd MSTATIC 312 Ksrei et l
5 J. Bio. & Env. Si were used to sttistilly lultions nd Exel softwre ws used to drw tled nd grphs. yield in other trits. This omes from high geneti diversity mong studied lines. Results nd Disussion The results from vrine nlysis of mesured trits re given in Tle 4. As it n e oserved there is signifint differene in 1% And 5% prole level etween studied lines exept for totl numer of tiller, fertile tiller numer, given per spike, grin per totl plnt, strw, totl nd Dy to 50% heding The rnge of dy numer to 50% heding vried from 117 dys (line 3) to dy (ontrol vriety Bhmn) mong studied vrieties. Line 3 ws the erliest mturity nd ontrol vriety (Bhmn) with lines 2, 5, 6 nd ws the longest dy numer to 50% heding mong genotypes (tle 5). Tle 4. Vrine nlysis of studied trits in omplete rndom lok design. Men of Squres Soure df Dys to 50% heding The totl Dte of numer mturity of tillers Numer of fertile tillers Awn Pedunle Spike Plnt height The numer of spikelet s per spike Replition ** ** Genotypes ** ** ** * 1.051** ** 7.696* Error C. V % * nd ** Signifintly t p < 0.05 nd < 0.01, respetively. Men of Squres Soure df Numer of grins per spike 1000 grin The min spike grin Seed per plnt Strw Totl plnt Hrvest Index Yield Replition Genotypes ** ** ** Error C. V % * nd ** Signifintly t p < 0.05 nd < 0.01, respetively. 313 Ksrei et l
6 J. Bio. & Env. Si Tle 5. Compring studied verge lines of rley in mesured trits y Dunn test. Trits No. Genotypes Dte of mturity Dys to 50% heding Pedunle Awn Spike Bhmn d 8.6 d d de d 178 e mens vlues with ommon letters in eh olumn hve no signifint differene sed on Dunn Test, t 5% proility level Trits No. Genotypes Plnt height The numer of spikelet s per spike Numer of grins per spike 1000 grin Hrvest Index Bhmn d d d d d d d d d 50 mens vlues with ommon letters in eh olumn hve no signifint differene sed on Dunn Test, t 5% proility level Dte of mturity the rnge of Dte of mturity vried from 178 dys (line 3) to dys (line 8) mong studied vrieties nd lines nd this shows tht line 3 ws the most erly mturing line 8 with line 6 were the ltest mturity mong mesured lines. (Tle 5) Awn Line 5 hd the longest wn with 12.4 m verge nd ws tegorized in superior sttistil group nd ontrol vriety (Bhmn) hd the shortest wn with 8.6 m verge mong studied vrieties nd lines nd were tegorized in lss d(tle 5). Pedunle Line 3 hd the longest pedunle with m verge with lines 2, 5, 6, nd 7 were pled in superior sttistil group nd line 4 nd ontrol vriety (Bhmn) hd the shortest pedunle with nd m verge, respetively mong studied lines nd vrieties nd were tegorized in lss (Tle 5). 314 Ksrei et l
7 J. Bio. & Env. Si Spike Spike is one of the min yield omponents in grnule rops nd it is etter to selet genotypes with mximum spike to inrese grin yield per unit re. Line 3 hd the highest spike with 5.06 m verge nd ws tegorized in superior sttistil group nd lines 6 nd 7 devoted the lest spike with 3.29 nd 3.31 respetively to themselves mong studied lines nd vrieties nd were tegorized in lss with lines 5 nd 8 nd ontrol vriety (Bhmn) (Tle 5). Plnt height The signifine differene of studied lines in plnt height showed tht there is geneti diversity etween lines nd n e used in next studies orresponding to the findings of Khjvi (2011), Mirzei (2012) nd Azizi (2013). In onditions of quulture of rley usully lines nd vrieties of round m height re seleted euse suh vrieties ren t involved in plnt lodging in quulture. The rnge of plnt height mong studied vrieties nd lines vried from m (ontrol vriety) to m (line 3). Line 3 devoted the highest plnt height to itself with m verge nd ws tegorized in lss A nd ontrol vriety (Bhmn) devoted the lest plnt height with m verge. To itself mong studied lines nd ws tegorized in lss with lines2, 4 nd 8 (Tle 5). Spikelet numer per spike The rnge of spikelet numer per spike vried from 9.38 (line 5) to (ontrol) mong studied vrieties nd lines. Control vriety (Bhmn) devoted the highest spikelet numer per spike to itself with verge numer nd ws tegorized in the sme lss of lines 2, 3, 6, 7 nd line 5 devoted the lest spikelet numer per spike to itself with 9.38 verge numer mong studied lines nd vrieties nd ws tegorized in lss with lines 4, 6, 7 nd 8 (Tle 5). Seed numer per spike Seed numer per spike in drught stress nd in verge ses of seed numer hs ontriution of totl numer of spike in yield, tht s why seed numer per spike is suggested s the seletion riterion of dry lnd vrieties (Asn, 1962). Rnge of seed numer per spike vried from (line 5) to (ontrol vriety) mong studied vrieties nd lines. Control vriety (Bhmn) devoted the highest seed numer per spike with verge numer nd ws tegorized in the sme lss with lines 3, 6, 7 nd 8, nd line 5 devoted the lest seed numer per spike with verge numer mong studied lines nd vrieties nd were pled in lss d with lines 2 nd 4 (Tle 5) seeds 1000 seeds is one of min riteri of qulity of grin yield. High 1000 grins inreses germintion nd growing perent nd more plnts re kept with spike until hrvesting whih is effetive on yield. Rnge of 1000 seeds vried from gr (ontrol vriety) to gr (line 5) mong studied lines. Lines 5, 4 nd 2 devoted the highest 1000 seeds with 47.17, nd verges respetively. And were pled in the sme lss with line 6 nd ontrol vriety (Bhmn) nd line 8 devoted the lest 1000 seeds to itself with nd 37.7 grm verge respetively mong studied lines nd were pled in lss d (Tle 5). Hrvest Index Hrvest index is one of min prmeters to predit grin yield (Ar Ameri et l, 2011). Line 2 nd ontrol vriety (Bhmn) devoted the lest hrvest index to themselves with d 56% verges respetively nd were tegorized in the sme lss with lines 3, 7 nd 8 nd lines 4 nd 5 devoted the highest hrvest index to themselves with 41 nd 40.33% verges respetively mong studied lines nd were tegorized in lss (Tle 5). Regression nlysis In order to determine the ontriution effets of trits in determining yield desending regression method ws used. First independene of experimentl errors ws tested using telesope- Wtson tril nd showed tht errors re independent. Also sttistil of vrine infltion ftor less thn 10 showed tht 315 Ksrei et l
8 J. Bio. & Env. Si there is no multiline. Multiple regression nlysis ws performed for grin yield s dependnt vrile for ll trits in desending method. In this nlysis the vriles of signifint effets remined in eqution were: hrvest index, Dte of mturity nd spike (Tle 6). Grin yield = (hrvest index) ** (Dte of mturity)* (Spike )** Tle 6. Regression Anlysis Method Desending. S.O.V Regression Residul Totl df SS MS R2=0.86 * nd Signifintly t p < 0.05 Independent vrile: hrvest index, dys to mturity, spike dependent vrile: Grin yield F * Regression line eqution Grin yield = (hrvest index) ** (Dte of mturity)* (Spike )** Tle 6 Regression nlysis in desending method the modified determintion oeffiient in fitted model ws 0.86 showing 86% justifition of hnge in grin yield y indited vriles. In Tle 7 the vlues relted to regression oeffiients nd inlusion order of vrile into mode re given. The first inluded vrile into the model ws hrvest index; the seond vrile ws Dte of mturity nd t lst the model determintion oeffiient ws 0.86 y inluding spike. The higher regression oeffiient ws relted to hrvest index nd relted to hrvest index relted regression oeffiient positive nd spike ws negtive. So hrvest index n e introdued s n effetive trit on grin yield. Tle 7. Summry of desending regression nlysis. Vrile Stndrdized regression oeffiient Pro. VIF α Hrvest index Dys to mturity Spike Pth Anlysis Anlysis of uslity is very importnt in determining the reltionship etween the min hrters nd eonomi yield. Clultion of orreltion oeffiients don t determine the nture of the reltionship etween trits ut it is possile to identify diret nd indiret effets of effetive trits yield using uslity nlysis (pth nlysis), tht s why reeding speilists use pth nlysis s n effetive mens of determining the importne of trits effets on yield. In order to find usl reltionships etween dependnt vriles of grin yield in one hnd nd vriles of signifint effet on eonomi yield we used pth nlysis. The results from pth nlysis (Tle 8) showed tht hrvest index hs highly nd diret effet on grin yield nd the positive orreltion oeffiient 0.54 etween hrvest index nd grin yield ws minly relted to the diret effet of hrvest index nd the indiret effet hve less importnt effet on yield. Also dys to mturity nd spike hd diret nd negtive effet. The diret effet of spike on yield ws high nd negtive (-0.87). The remined effet (0.28) indites tht in ddition to ove vriles, there re other ftors justify hnges of grin yield. Nemtullhi (2012) studying the omprison of promising rley lines in yield nd gronomil trits in reported tht totl plnt hd diret nd high (0.598) effet on grin per spike nd the positive orreltion oeffiient (0.779**) etween totl plnt nd grin per spike ws minly relted to the diret effet of 316 Ksrei et l
9 J. Bio. & Env. Si totl plnt per stem. The diret effet of fertile tiller on grin per spike ws negtive nd high (-0.394) lso the indiret effet of grin numer per spike through totl plnt ws higher thn indiret effet of fertile tiller through totl plnt. Mirzei (2012) reported tht fertile tiller numer hd the highest diret effet (0.592) on grin yield. The positive orreltion oeffiient (0.73**) etween fertile tiller numer nd grin yield ws minly relted to diret effet of fertile tiller numer per min stem nd the indiret effets through this trit re effetive on grin yield s well. Strw hd the highest indiret effet through fertile tiller numer (0.246) on grin yield. In 2013 Azizi y studying 20 rley lines reported tht the highest regression oeffiient ws reltion to 1000 grin nd regression oeffiient ws relted to 1000 grin nd spike ws positive nd the regression oeffiient of plnt height ws negtive. So 1000 grin nd spike n e offered s the effetive trits on grin yield. Pth nlysis of remined trits in regression model showed tht sed on this nlysis 1000 grin hd the diret nd the highest (0.624) effet on the grin yield nd fter tht spike verge hd diret nd positive effet on grin yield (0.385) nd plnt height hd diret nd negtive effet on grin yield. Tle 8. The orreltion oeffiients nlysis on diret nd indiret effets for grin yield. Trits Diret effet Indiret effet through hrvest index dys to mturity spike Simple orreltion with grin yield hrvest index dys to mturity spike Residul = 0.28 Referene Ademishni S nd Nejt Booshhri A Breeding ompletion. The first volume. Conventionl plnt reeding. Tehrn University Press Azizi A.A Evlution of yield nd yield omponents in rley vrieties nd promising lines in the lue region of. Breeding Mster's thesis. Islmi Azd University of Astr. 77 pges. Allh Gholipour H nd Slehi M Ftor nlysis nd ustion in different rie genotypes. Seed nd Plnt Journl 19 (1), Ehdie B nd Wines JG Growth nd trnspirtion effiieny of ner isogeni lines for height in spring whet. Crop Siene 34, Anonymous Brley ultivtion in Irn. Ministry of Jihe-e-griulture Pulitions. Tehrn, Irn. Ar Ameri R, Soltni A, Kmkr B, Zeinli A nd Khvri F Performne modeling prmeters sed on hrvest index in whet plnt. Journl of Plnt Prodution 17(2) Ehdie B Crop improvement. Brsv Press, 454. Floer S Introdution to quntittive genetis, Trnsltor: CE, ut M. nd M. Moghddm. Pulishing Center of Tehrn University, 548. FAO Ksrei et l
10 J. Bio. & Env. Si Frshdfr A Breeding methodology. Rzi University Press, 616. Frshdfr A The pplition of quntittive genetis Drslh plnt, Rzi University Press, 528. Frsi M, Bgheri RA Priniples of Plnt Breeding. Mshhd University of jihd pulitions. Khjvi AR Compre promising rley lines in terms of yield nd gronomi trits in region. Breeding Mster's thesis. Islmi Azd University of. 65. Leilh A nd AL-khtees A Sttisti nlysis of whet yield under drought ondition. Journl Arid Environmentl 61, Hosseinzdeh K, Irnnezhd H, Hejzi A, Alikri GH nd Znd, A Correltion nd pth nlysis for yield trits 8 rpeseed ultivrs (Brssi npus L.). Journl of iotehnology in griulture, Yer VIII, 1. Jri M, Brt A, Sihsr M, Rmrodi SH, Kohkn A nd Zolfghri F Correltion nd pth oeffiient nlysis of morphologil trits ssoited with yield under drought stress nd norml rley douled hploid lines. Qurterly Journl of Agriulture (reserh nd development), 93. Mirzei, SH Geneti diversity of winter rley lines. In Breeding Mster's thesis. Islmi Azd University of. 74. Nemtullhi S Compre promising rley lines in terms of yield nd gronomi trits in region. Breeding Mster's thesis. Islmi Azd University of. 80. Rhimin H, Kohki A nd Znd A Evolution, dpttion nd yield of rop plnts. Printing. Pulishing griulturl edution. 318 Ksrei et l
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 informationIowa 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 informationEffects 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 informationApplying 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 informationEstimation 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 informationANALYSIS 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 informationTHE 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 informationAnnexure 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 informationLecture 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 informationEffects of Sowing Dates and CCC Application on Morphological Traits, Agronomical Indices and Grain Yield in Barley Cultivars
World Applied Sienes Journl 4 (): 77-73, 0 ISSN 88-495 IDOSI Pulitions, 0 Effets of Sowing Dtes nd CCC Applition on Morphologil Trits, Agronomil Indies nd Grin Yield in Brley Cultivrs 3 S. Dstn, H.R. Mosser,
More informationEffects 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 informationEvaluation 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 information12.4 Similarity in Right Triangles
Nme lss Dte 12.4 Similrit in Right Tringles Essentil Question: How does the ltitude to the hpotenuse of right tringle help ou use similr right tringles to solve prolems? Eplore Identifing Similrit in Right
More informationProject 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 informationProbability. 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 informationPlanting 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 informationQUADRATIC 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 informationCorresponding author Keywords: Plodia interpunctella, Cultivars of date, population growth parameters INTRODUCTION
Interntionl Journl of Frming nd Allied Sienes Avilble online t www.ijfs.om 213 IJFAS Journl-213-2-14/417-422 ISSN 2322-4134 213 IJFAS Comprison of popultion growth prmeters of the Plodi interpuntell Hübner
More informationGeneralization 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 information2012 Small Grain Forage Trial
2012 Smll Grin Forge Tril Dr. Hether Dry, UVM Extension gronomist Susn Monhn, Eri ummings, Hnnh Hrwood, nd Roslie Mdden UVM Extension rops nd Soils Tehniins 802-524-6501 Visit us on the we: http://www.uvm.edu/extension/ropsoil
More informationA 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 informationOBJECTIVES 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 informationJ. 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 informationUniversity 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 informationA 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 informationComparing 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 informationRoughness Coefficients for Selected Residue Materials
University of Nersk - Linoln DigitlCommons@University of Nersk - Linoln Biologil Systems Engineering: Ppers nd Pulitions Biologil Systems Engineering 8-1991 Roughness Coeffiients for Seleted Residue Mterils
More informationLecture 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 informationDETERMINING 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 informationMatrices 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 informationSupplementary 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 information1 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 informationArrow s Impossibility Theorem
Rep Fun Gme Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Fun Gme Properties Arrow s Theorem Leture Overview 1 Rep 2 Fun Gme 3 Properties
More informationAP 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 information332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006
2:221 Principles of Electricl Engineering I Fll 2006 Nme of the student nd ID numer: Hourly Exm 2 Novemer 6, 2006 This is closed-ook closed-notes exm. Do ll your work on these sheets. If more spce is required,
More informationMaintaining 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 informationSection 1.3 Triangles
Se 1.3 Tringles 21 Setion 1.3 Tringles LELING TRINGLE The line segments tht form tringle re lled the sides of the tringle. Eh pir of sides forms n ngle, lled n interior ngle, nd eh tringle hs three interior
More informationLesson 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 informationApril 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 informationContinuous Random Variables Class 5, Jeremy Orloff and Jonathan Bloom
Lerning Gols Continuous Rndom Vriles Clss 5, 8.05 Jeremy Orloff nd Jonthn Bloom. Know the definition of continuous rndom vrile. 2. Know the definition of the proility density function (pdf) nd cumultive
More informationAppendix 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 informationA Mathematical Model for Unemployment-Taking an Action without Delay
Advnes in Dynmil Systems nd Applitions. ISSN 973-53 Volume Number (7) pp. -8 Reserh Indi Publitions http://www.ripublition.om A Mthemtil Model for Unemployment-Tking n Ation without Dely Gulbnu Pthn Diretorte
More information1B40 Practical Skills
B40 Prcticl Skills Comining uncertinties from severl quntities error propgtion We usully encounter situtions where the result of n experiment is given in terms of two (or more) quntities. We then need
More informationTable 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 informationCCC Hordeum vulgare L.
() Hordeum vulgre L. * E-mil: Yemm@shirzu..ir * ZGS ZGS 1. Anthesis () DS ZGS?C MSTAT-C DNMRT D/100 d n =(F - m ) dn F m D gm -3 gm -3 Q 3 0.65 10 A (2gh A h g ) 1 2 Q d e d d () 1. Sink size GA 3 GA 3
More informationInfluence of Knife Bevel Angle, Rate of Loading and Stalk Section on Some Engineering Parameters of Lilium Stalk
Irni Journl of Energy & Environment 3 (4): 333-340, 01 ISSN 079-115 IJEE n Offiil Peer Reviewed Journl of Bol Noshirvni University of Tehnology DOI: 10.589/idosi.ijee.01.03.04.07 BUT Influene of Knife
More informationEffects 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 information1.3 SCALARS AND VECTORS
Bridge Course Phy I PUC 24 1.3 SCLRS ND VECTORS Introdution: Physis is the study of nturl phenomen. The study of ny nturl phenomenon involves mesurements. For exmple, the distne etween the plnet erth nd
More informationArrow 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 informationDistributed Generation Placement in Unbalanced Distribution System with Seasonal Load Variation
Distriuted Genertion Plement in Unlned Distriution System with Sesonl Lod Vrition Rvi Tej Bhimrsetti Dept. of Eletril Engg., NT Kurukshetr Kurukshetr, ndi svrtej@gmil.om Ashwni Kumr, Memer, EEE Dept. of
More informationPYTHAGORAS 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 informationSpacetime 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 informationStatistics 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 information5. Every rational number have either terminating or repeating (recurring) decimal representation.
CHAPTER NUMBER SYSTEMS Points to Rememer :. Numer used for ounting,,,,... re known s Nturl numers.. All nturl numers together with zero i.e. 0,,,,,... re known s whole numers.. All nturl numers, zero nd
More informationMATH Final Review
MATH 1591 - Finl Review November 20, 2005 1 Evlution of Limits 1. the ε δ definition of limit. 2. properties of limits. 3. how to use the diret substitution to find limit. 4. how to use the dividing out
More informationIntroduction to Olympiad Inequalities
Introdution to Olympid Inequlities Edutionl Studies Progrm HSSP Msshusetts Institute of Tehnology Snj Simonovikj Spring 207 Contents Wrm up nd Am-Gm inequlity 2. Elementry inequlities......................
More informationActivities. 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 informationTHE 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 informationSECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS
SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS IN-SITU PROBING OF DOMAIN POLING IN Bi 4 Ti 3 O 12 THIN FILMS BY OPTICAL SECOND HARMONIC GENERATION YANIV BARAD, VENKATRAMAN GOPALAN Mterils Reserh Lortory
More informationLinear 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 informationTHE 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(Thymus fallax Fisch.et C.A. Mey.)
DOI: http://x.oi.org/10.22092/ijmpr.2014.982 (19) 519528 4 0 (Thymus fllx Fish.et C.A. Mey.) 2 2 *1 *1 Mohmmin5@yhoo.om : 2 191 : 191 : 190 :. Nepetoiee (Lmiee) (Thymus). Thymus fllx Fish.et C.A. Mey..
More informationIntermediate 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 informationTutorial Worksheet. 1. Find all solutions to the linear system by following the given steps. x + 2y + 3z = 2 2x + 3y + z = 4.
Mth 5 Tutoril Week 1 - Jnury 1 1 Nme Setion Tutoril Worksheet 1. Find ll solutions to the liner system by following the given steps x + y + z = x + y + z = 4. y + z = Step 1. Write down the rgumented mtrix
More informationSymmetrical 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 informationMath 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1)
Green s Theorem Mth 3B isussion Session Week 8 Notes Februry 8 nd Mrh, 7 Very shortly fter you lerned how to integrte single-vrible funtions, you lerned the Fundmentl Theorem of lulus the wy most integrtion
More informationEffect of bio-priming on yield and yield components of maize (Zea mays L.) under drought stress
Bulletin of Environment, Phrmology n Life Sienes Bull. Env.Phrmol. Life Si., Vol 4 [4] Mrh 2015: 68-74 2014 Aemy for Environment n Life Sienes, Ini Online ISSN 2277-1808 Journl s URL:http://www.epls.om
More informationOutline. Theory-based Bayesian framework for property induction Causal structure induction
Outline Theory-sed Byesin frmework for property indution Cusl struture indution Constrint-sed (ottom-up) lerning Theory-sed Byesin lerning The origins of usl knowledge Question: how do people relily ome
More informationSomething 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 informationLecture 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 informationCentre de Referència en Economia Analítica
Centre de Referèni en Eonomi Anlíti Brelon Eonomis Working Pper Series Working Pper nº 69 Regions of Rtionlity: Mps for ounded gents Roin M. Hogrth nd Ntli Kreli Otoer, 005 Regions of rtionlity: Mps for
More informationTHE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL
THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL Mhun Peng *, Lin Xie nd Leonrd J. Pietrfes Deprtment of Mrine, Erth nd Atmospheri
More informationContinuous Random Variables
CPSC 53 Systems Modeling nd Simultion Continuous Rndom Vriles Dr. Anirn Mhnti Deprtment of Computer Science University of Clgry mhnti@cpsc.uclgry.c Definitions A rndom vrile is sid to e continuous if there
More informationEE 330/330L Energy Systems (Spring 2012) Laboratory 1 Three-Phase Loads
ee330_spring2012_l_01_3phse_lods.do 1/5 EE 330/330L Energy Systems (Spring 2012) Lortory 1 ThreePhse Lods Introdution/Bkground In this lortory, you will mesure nd study the voltges, urrents, impednes,
More informationCHENG 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 informationNEW 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 informationThe Impact of Planting Date on Management of the Rice Water Weevil in Louisiana Rice
The Open Entomology Journl, 211, 5, 1-9 1 Open Aess The Impt of Plnting Dte on Mngement of the Rie Wter Weevil in Louisin Rie M.J. Stout*,1, N.A. Hummel 1, M.J. Frey 2 nd W.C. Rie 3 1 Deprtment of Entomology,
More informationSystem 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 informationEigenvectors and Eigenvalues
MTB 050 1 ORIGIN 1 Eigenvets n Eigenvlues This wksheet esries the lger use to lulte "prinipl" "hrteristi" iretions lle Eigenvets n the "prinipl" "hrteristi" vlues lle Eigenvlues ssoite with these iretions.
More informationAP 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 informationCore 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 informationA graphical representation of the mediated effect
Behvior Reserh ethods, (1), 55- doi: 1.375/BR..1.55 A grphil representtion of the medited effet tthew S. Fritz Virgini Polytehni Institute nd Stte University, Blksburg, Virgini nd Dvid P. Kinnon Arizon
More informationa) 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 informationGreen s Theorem. (2x e y ) da. (2x e y ) dx dy. x 2 xe y. (1 e y ) dy. y=1. = y e y. y=0. = 2 e
Green s Theorem. Let be the boundry of the unit squre, y, oriented ounterlokwise, nd let F be the vetor field F, y e y +, 2 y. Find F d r. Solution. Let s write P, y e y + nd Q, y 2 y, so tht F P, Q. Let
More informationHow do we solve these things, especially when they get complicated? How do we know when a system has a solution, and when is it unique?
XII. LINEAR ALGEBRA: SOLVING SYSTEMS OF EQUATIONS Tody we re going to tlk out solving systems of liner equtions. These re prolems tht give couple of equtions with couple of unknowns, like: 6= x + x 7=
More informationTrigonometry 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 informationPLANT 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 informationChapter 3. Vector Spaces. 3.1 Images and Image Arithmetic
Chpter 3 Vetor Spes In Chpter 2, we sw tht the set of imges possessed numer of onvenient properties. It turns out tht ny set tht possesses similr onvenient properties n e nlyzed in similr wy. In liner
More informationH (2a, a) (u 2a) 2 (E) Show that u v 4a. Explain why this implies that u v 4a, with equality if and only u a if u v 2a.
Chpter Review 89 IGURE ol hord GH of the prol 4. G u v H (, ) (A) Use the distne formul to show tht u. (B) Show tht G nd H lie on the line m, where m ( )/( ). (C) Solve m for nd sustitute in 4, otining
More informationsupplementary information
DOI: 1.138/n2131 Protein levels (% of ) e Full-length protein remining (%) 1 5 1 5 1 1 5 5 Hs7 Syt1 Syt2 β-atin CSP +tsyn Hs7 Syt1 Syt2 P4 rin.1.1.1 1 [Trypsin] (g/l) f +tsyn SNARE-omplexes remining (%)
More informationA Lower Bound for the Length of a Partial Transversal in a Latin Square, Revised Version
A Lower Bound for the Length of Prtil Trnsversl in Ltin Squre, Revised Version Pooy Htmi nd Peter W. Shor Deprtment of Mthemtil Sienes, Shrif University of Tehnology, P.O.Bo 11365-9415, Tehrn, Irn Deprtment
More informationSECTION 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 informationToday s Outline. Inheritance. Darwin & Mendel near miss. Gregor Johann Mendel. Terms Punnett-square. Modern Synthesis
Tody s Outline Inheritne Gregor Mendel Theory of segregtion Theory of independent ssortment Soures of vrition in popultions hromosoml sis of inheritne Humn genetis & ethis Gregor Johnn Mendel Gregor Johnn
More informationCS 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 informationFormula for Trapezoid estimate using Left and Right estimates: Trap( n) If the graph of f is decreasing on [a, b], then f ( x ) dx
Fill in the Blnks for the Big Topis in Chpter 5: The Definite Integrl Estimting n integrl using Riemnn sum:. The Left rule uses the left endpoint of eh suintervl.. The Right rule uses the right endpoint
More information(h+ ) = 0, (3.1) s = s 0, (3.2)
Chpter 3 Nozzle Flow Qusistedy idel gs flow in pipes For the lrge vlues of the Reynolds number typilly found in nozzles, the flow is idel. For stedy opertion with negligible body fores the energy nd momentum
More information4.1. Probability Density Functions
STT 1 4.1-4. 4.1. Proility Density Functions Ojectives. Continuous rndom vrile - vers - discrete rndom vrile. Proility density function. Uniform distriution nd its properties. Expected vlue nd vrince of
More informationAlpha Algorithm: A Process Discovery Algorithm
Proess Mining: Dt Siene in Ation Alph Algorithm: A Proess Disovery Algorithm prof.dr.ir. Wil vn der Alst www.proessmining.org Proess disovery = Ply-In Ply-In event log proess model Ply-Out Reply proess
More informationCh. 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 informationFor a, b, c, d positive if a b and. ac bd. Reciprocal relations for a and b positive. If a > b then a ab > b. then
Slrs-7.2-ADV-.7 Improper Definite Integrls 27.. D.dox Pge of Improper Definite Integrls Before we strt the min topi we present relevnt lger nd it review. See Appendix J for more lger review. Inequlities:
More information