Keywords: Chlorophyll fluorescence, Fragaria ananassa, light recovery, shanding stress

Size: px
Start display at page:

Download "Keywords: Chlorophyll fluorescence, Fragaria ananassa, light recovery, shanding stress"

Transcription

1 Avne Journl of Foo Siene n Tehnology 5(6): , 23 ISSN: ; e-issn: Mxwell Sientifi Orgniztion, 23 Sumitte: Mrh, 23 Aepte: Mrh 27, 23 Pulishe: June 5, 23 Effets of Shing Stress n Light Reovery on the Photosynthesis Chrteristi n Chlorophyll Fluoresene Chrteristi of Frgri Annss Duh. v. Toyonok, 2 Renyn Dun, Minyi Hung, Zhigo Wng, Zhongxin Zhng n 2 Weiyi Fn Shool of Life Siene, Anqing Tehers College, Anqing, Anhui 246, Chin 2 College of Life Siene, Shnxi Norml University, Xi n, 762, Chin Astrt: Light is n importnt resoure for plnt growth n evelopment, rops nee to hnge their physiologil hrteristis to ifferent light environments. Frgri nnss Duh. v. Toyonok. is n importnt eonomi plnt whih is wiely plnte t home. A greenhouse experiment ws onute from April 2 with ifferent sun-shing tretment, 85% (CK), 6% (T ), 35% (T 2 ) n % (T 3 ). After 7 ys of shing stress, the physiologil hrteristis were slowly reovere. The results showe tht () Uner shing onition, Light sturtion rte (Amx), Apprent Quntum Yiel (AQY), Croxyltion Effiieny (CE), rk respirtion (R), Light Sturtion Point (LSP) n Light Compenstion Point (LCP) eme lower. (2) The mximl fluoresene (Fm), light energy trnsformtion effiieny of PS II (Fv/Fm), tul photohemil effiieny of PS II in the light (Yiel), photohemil quenhing oeffiient (qp) eline with shing stress inrese. (3) There were signifint ifferene in the hlorophyll fluoresene prmeters mong ifferent tretment groups y the en of sun-shing tretment (p<.5). After the light ws reovere, the physiologil hrteristis oul rpily reover uner low shing stress n moerte shing stress, while in severe shing stress the physiologil hrteristis hrly reover. Keywors: Chlorophyll fluoresene, Frgri nnss, light reovery, shning stress INTRODUCTION There is ro onsensus in eology tht light is n importnt resoure for the survivl, growth n istriution of rops (Jensen et l., 22). In ifferent time n spe onitions, the Photosyntheti Photon Flux Density (PPFD) is ifferent, n rops nee to evelop limtion n plstiity mehnism to ope with the vrying light regimes y hnging their morphologil n physiologil pttions to ifferent light environments (Ginoli n Vllres, 22; Wyk et l., 22). During plnting, most rops re expose to ifferent light grients (from full she to full exposure to sun light), n plnts re esily sujete to t lest some egree of she. In response to shing, exmples for n tive type of plstiity re n inrese in speifi lef re (Delgrnge, 2), in lef size (Vllres n Pery, 998), or the elongtion of internoes (Vn Kleunen n Fisher, 25). In orer to help lne the light sorption etween the two photo-systems (PSI n PSII), she leves hve lower hlorophyll / rtio (Chzon, 992). In lower light environment, rops my hnge lef struture n physiology, whih etermines the lef ron quisition n gs exhnge (Ginoli n Vllres, 22; Wyk et l., 22). Some stuies on response of photosyntheti plstiity to hnge light environments minly fouse on speifi light environment, suh s rtifiil elines ifferent ense she t lortory experiment (Feijó et l., 29) n some pthes (suh s gp n non-gp; gp, non-gp n expning gp) t outoor experiment (Shimtni n Kuot, 2). However, previous stuies on response of photosyntheti plstiity to ifferent stle light environments hve file to ynmi hnges of light environment, suh s shing stress n light reovery (Oguhi et l., 26; Feijó et l., 29; Shimtni n Kuot, 2). So, further stuies re still essentil. Chlorophyll fluoresene tehnique provies rpi n non-intrusive proe for the mesurement of photosyntheti funtion uner ifferent light onition in reent yers (Rzvi et l., 28). Frgri nnss Duh. v. Toyonok is n importnt eonomi plnt whih is wiely plnte t home n ro, n esily suffers the effet of light stress. It ws wiely ultivte in our ountry. How oes its physiologil proess ret with the hnging light environment? How n in wht extent oes its physiologil plstiity response to hnge of light environment n light reovery? Bse on our oservtions, we hypothesize tht: The physiologil proess of F. nnss is sensitive to hnges in the light environment Corresponing Author: Renyn Dun, Shool of Life Siene, Anqing Tehers College, Anqing, Anhui 246, Chin, Tel.:

2 Av. J. Foo Si. Tehnol., 5(6): , 23 It is e esily reovere in lower shing stress fter the light ws reovere, while it is hrly reovere in severer shing stress. The ojetive of our stuy is to eluite the reltionship etween photosyntheti plstiity n light environment of the F. nnss n to test the ove hypotheses. MATERIALS AND METHODS The experiment ws onute t Anqing Botnil Gren, whih is lote in the western suur of Anqing. These seelings of one yer-ol originlly were grown in greenhouse in the erly spring of 2. Then they were trnsferre to ontrol light (out 85% of full mient light) t the eginning of April 2. At the en of April of 28, these potte seelings were ivie t rnom into four groups, with eh group omprising three potte seelings. Eh of the three groups ws sujete to one of the four ifferent light environments (ontrol-, mil-, moerten severe-stress). The seelings were irrigte t regulr perios epening on the wether n soil moisture sttus. Methos: For ssessment of light effets on the physiologil hrteristis of F. nnss, light grient ws estlishe using ifferent lyers of neutrl guze to provie four levels of visile light: ontrol light (CK, out 85% of full mient sunlight), mil stress (T, out 6% of full mient sunlight), moerte stress (T 2, out 35% of full mient sunlight), severe stress (T 3, out % of full mient sunlight). After 7 ys of light stress, the lights of seelings were reovere until the th y. Mesurements of net photosyntheti rte (P n ), stomt onutne (g s ), trnspirtion rte (T r ), interellulr CO 2 onentrtion (C i ), respirtory rte et. were rrie out uner mient/ontrolle onitions with portle photosynthesis mesurement system (LI-64, LI-COR In. Linoln, NE, USA). A 2 3 m hmer ws use n LED 64-2B lmp provie the light soure. All mesurements were performe from 8: to : m. Light-response urves were rete with eleven levels of PPFD (, 5, 25, 5,, 2, 4, 6, 8,,,,2 μmol photons/m 2.s) in eresing orer. The time llowe etween eh reing ws 2-3 min intervls. All mesure leves were lote in mile to upper prts of one fully expne n mture lef. Mesurements were me t temperture of 25 C n CO 2 onentrtion of 4 ppm. The Light sturtion rte (Amx), Apprent Quntum Yiel (AQY), Croxyltion Effiieny (CE), rk respirtion (R ) n Light Compenstion Point (LCP) ws lulte (Wng et l., 24). The smple lef ws ple in the urette until t lest five stle reings were otine. At vrious time intervls uring the shing tretment n the reovery, the in vivo hlorophyll fluoresene of PSII ws mesure y pulsemoulte fluorometer (PAM-2, Wlz, Effeltrih, Germny) onnete to omputer with ontrol softwre. For onseutive mesurement of hlorophyll fluoresene prmeters, we mrke fixe position in eh smple lef. In orer to mesure the miniml Fluoresene (F ) n mximl fluoresene prmeters (F m ), the smple ws first rk pte for t lest 2 min using lef lip. At nture light, we mesure the miniml fluoresene (F ) n mximl fluoresene prmeters (F m ). The following fluoresene prmeters were lulte: vrile fluoresene (rk) (F v = F m -F ), mximl photohemil effiieny of PSII (rk pte lef)(f v /F m ); vrile fluoresene (light) (F v = F m - F ), photohemil effiieny of PSII in the light, whih is the effiieny if ll retion enters remin open (F v /F m ); tul photohemil effiieny of PSII in the light, whih is the effiieny uner the tul egree of retion enter losure ((F m -/F)/F m ); the pprent Eletron Trnsport Rte (ETR = F/F m PPFD.5.84) (Rzvi et l., 28). There re two kins of fluoresene quenhing, suh s photohemil quenhing (qp) (qp = /(F m - F)/(F m -F )) n non-photohemil quenhing (qn) (qn = -(F m -F )/(F m -F ) = -F v /F v ). All t were plotte using MICROSOFT EXCEL 23, n eh vlue of men n S.D. (stnr evition) in the figures represents t lest 3 replitions of mesurements. A one-wy ANOVA ws use to evlute ifferenes of hlorophyll fluoresene hrteristis of F. Anmos of shing stress n light reovery. Signifint ifferenes isusse hve proility (p) vlue <.5. RESULTS AND DISCUSSION In the wek intensity rnge (~6 μmol/m 2 s), the photosyntheti rte (P n ) of oth the she n unshing leves hs rpi inrese. There were little ifferenes etween ifferent tretments (p>.5). When the light intensity is greter thn 6 μmol/m 2 s, with the inrese of light intensity, the photosyntheti rte (P n ) ten to e stle, n the ifferene etween the tretment inrese. The photosyntheti rte of ontrol leves is higher signifintly thn tht of the she leves (p<.5) (Fig. ). This suggests tht in low light intensity, shing hs no signifint influene on strwerry 788

3 Av. J. Foo Si. Tehnol., 5(6): , 23 Fig. : Light-response urves uner ifferent shing stress photosyntheti rte. However, with light intensity inrese, the influene of the she inreses signifintly. In Fig. 2, ompre with the nture light, ifferent shing strength reue signifintly the Lightsturte photosyntheti rte (A mx ), Apprent Quntum Yiel (AQY), Croxyltion Effiieny (CE), Light Sturtion Point (LSP), Light Compenstion Point (LCP) n rk respirtion rte(r) (p<.5), exept some prmeters, suh s AQY n LCP h no signifint ifferene uner mil stress n moerte stress (p>.5). After the light ws reovere, the physiologil hrteristis oul rpily reover uner low shing stress n moerte shing stress, while in severe shing stress the physiologil hrteristis hrly reover (Fig. 2). The F is fluoresene yiel when PSII retion enter is totlly open (Feijó et l., 29). From piture 3-A, we know F stys the sme level silly when given norml light. Uner the sme shing stress, with the stress time inrese, the hnge of F whih uner moerte stress n severe stress hs ertin turning, tht is: it firstly expresse slight erese n then hs growing teneny. With the egree of stress serious, the turning point hs n vne teneny. Amx A AQY.2.5. B CE C R 2.5 D LSP E LCP F Fig. 2: Effets of shing stress n light reovery on the photosynthesis hrteristi of Frgri nnss the ifferent letters inite sttistilly signifint ifferenes t p<.5 etween elevtions Shing stress Light reovery 789

4 Av. J. Foo Si. Tehnol., 5(6): , A B.2 C Amx 2 5 AQY.2.5. CE R 2.5 D LSP E LCP F Fig. 3: The omprison of hlorophyll fluoresene prmeters etween shing stress n light reovery the ifferent letters inite sttistilly signifint ifferenes t p<.5 etween elevtions Shing stress Light reovery The turning point omes on the 4th y when uner moerte stress n on the 3r y uner severe stress. Mil stress hs lwys slowly eline teneny. Others oul e le to reover the norml level n there were no signifint ifferenes etween them (p>.5) (Fig. 3A). The non-photohemil energy issiption of PSII ntenn pigment le to the eline of F, while the PSII retion enter whih suffers mge or reversile intivtion rouse n inrese in F. This reserh showe tht oth moerte shing stress n severe shing stress rouse F erese firstly n then inrese. It tol tht the eline of energy whih ws sore y PSII ntenn pigment flew own into prt of photohemistry n the energy inrese in the form of het issiption n fluoresene (Feijó et l., 29). With the shing stress time protrte, the photosyntheti struture of strwerry lef suffers mge to ertin egree. Besies, the turning point of F omes erlier with the egree of shing stress eoming serious (Fig. 4A). F m is fluoresene yiel when PSII retion enter is totlly lose, refleting stte of eletril trnsfer when psse PSII (Rzvi et l., 28). From 79 Fig. 3B, it n e seen tht uner the sme light, with the stress time inrese, F m expresse eline teneny. After 6 ys, the erese of F m vries in ifferent situtions, with 35.44% uner mil stress, 39.24% uner moerte stress, 48.% uner severe stress. Although mge for these stresses oul reover fter the light ws reovere, there were signifint ifferenes on mge reover etween in severe shing stress group n ontrol group (p<.5). Others oul e le to reover the norml level n there were no signifint ifferenes etween them (p<.5) (Fig. 4B). F v /F m is the mximl photohemil yiel of PSII, refleting the light energy trnsformtion effiieny of PSII. From Fig. 4C, it n e seen tht Fv/Fm of strwerry kept.8 on verge n there ws no signifint ifferene mong them when given norml light. However, F v /F m grully eline with shing stress inrese in the sitution of the sme time. Uner the sme shing stress, F v /F m lso grully eline with shing stress time inrese. But F v /F m h

5 Av. J. Foo Si. Tehnol., 5(6): , 23.3 A B.9 C F.5 F m.6 F v /F m Time () Time () Time ().8.6 D.8 E.8 CK T T2 T3 F Yiel.4 qp.6.4 qn Time () Time () Time () Fig. 4: The hnge of hlorophyll fluoresene prmeters in lef of F. nnss uner shing stress expresse signifint erese ompre with the ontrol group. The eline of F v /F m vries in ifferent sitution, with 5.38% uner mil stress, 28.2% uner moerte stress, 58.97% uner severe stress. Fv/Fm hs inrese fter the light ws reovere. However, F v /F m uner severe stress only reovere its 6.2% of the ontrol group n there were signifint ifferenes on mge reover etween in severe shing stress group n ontrol group (p<.5). Others oul e le to reover the norml level n there were no signifint ifferenes etween them (p>.5) (Fig. 3C). A numer of reserhes stte tht there is positive orreltion etween F v /F m n plnts growth onition (Rzvi et l., 28)). When plnt is in norml onition, the F v /F m hs slight hnge n vries from.75 to.85. F v /F m hs signifint eline when plnt is in stress onition, whih shows tht the erese of photohemil effiieny hs seriously limite the norml photosynthesis of strwerry. Comine with the experiment result of F uner shing stress, it showe tht shing stress h prtil mge on primry retion proess of strwerry photosynthesis. Yiel is the effetive quntum output of PSII, refleting the tul light energy rresting effiieny of PSII, when prt of PSII retion is lose. It n e iretly teste when lef oes not put in pttion to rkness n s n inex of plnt photosynthesis 79 eletril trnsport rte. From Fig. 4D, it n e seen tht with stress time inrese, yiel grully eline. At the primry shing stge, yiel hs slowly eline. After 6 ys, it expresse signifint erese ompre with ontrol group (p<.5). The eline of yiel vries in ifferent situtions, with 36.76% uner mil stress, 44.2% uner moerte stress, 83.82% uner severe stress. Although yiel hs reover fter the light ws reovere, yiel uner severe stress only reovere its 32.8% of the ontrol group. There were signifint ifferenes on mge reover etween in severe shing stress group n ontrol group (p<.5). Others oul e le to reover the norml level n there were no signifint ifferenes etween them (p>.5) (Fig. 3D). From Fig. 4E, it n e seen tht with the sme time, qp grully eline with stress time inrese. At the primry shing stge, qp hs slowly eline. After 6 ys, it expresse signifint erese, ompre with ontrol group (p<.5). The eline of qp vries in ifferent situtions, with 23.66% uner mil stress, 39.78% uner moerte stress, 9.39% uner severe stress. Although qp hs reover fter the light ws reovere, qp uner severe stress only reovere its 49.43% of the ontrol group. There were signifint ifferenes on mge reover etween in severe shing stress group n ontrol group (p<.5).

6 Others oul e le to reover the norml level n there were no signifint ifferenes etween them (p>.5) (Fig. 3E). Miyke et l. (25) suggeste tht the inrese of qn inue y non-ritive issiption ws photoprotetive proess. From Fig. 4F, it n e seen tht qn grully rise with stress time inrese. After 6 ys, it expresse signifint inresent ompre with ontrol group (p<.5). Compre with the originl vlue, the inresent of qn vries in ifferent situtions, with 7.25 times uner mil stress, times uner moerte stress, 46 times uner severe stress. Although qn hs reovere fter the light ws reovere, qn uner severe stress is out 4 times s gret s the ontrol group. There were signifint ifferenes on mge reover etween in severe shing stress group n ontrol group (p<.5). Others oul e le to reover the norml level n there were no signifint ifferenes etween them (p>.5) (Fig. 3F). CONCLUSION Beuse of the shing reues the light intensity, the net photosyntheti rte per unit re eline gretly, n the gretest net photosyntheti rte n totl photosyntheti umultion in y erese. At the sme time, shing wekens the CO 2 fixtion pility, whih we n see from the Croxyltion Effiieny (CE) erese. So when we pln strwerry in the glsshouse, we hve to onsier not only the epenene light, ut lso the epenene CO 2. Applition of CO 2 fertilizer will enefit strwerry photosyntheti umultion n growth. Tht first shing stress then light reovery n reflet the ility tht plnt pts to shing stress n its protetion mehnism. After 7 ys, the hlorophyll fluoresene prmeters (F o, F m, F v /F m, Yiel, qp, qn) n reover silly its innte level when strwerry is uner mil stress or moerte stress. However, there were signifint ifferenes on mge reover etween in severe shing stress group n ontrol group (p<.5). All these stte tht the mge of PSII retion enter n reover its norml level, when the environment is goo. But the lef suffer severe mge, it is hrly to reovery. Thus, it is neessry to py ttention to ontrol light when plnte strwerry n often keep soil wet. Besies, for those strwerries whih sty in shing onition for long time, it is vitl to supply light to voi strwerry keeping in serious shing stress. ACKNOWLEDGMENT We woul lso like to thnk the memers of the eology Reserh Institute of Shnxi norml university. This stuy ws jointly fune y the Ntionl Nturl Siene Fountion of Chin (NSFC 33), the exellent provinil young fun of Anhui (22SQRL3ZD) n the otor fun of Anqing Tehers College. Av. J. Foo Si. Tehnol., 5(6): , REFERENCES Chzon, R.L., 992. Photosyntheti plstiity of two rin-forest shrus ross nturl gp trnsets. Oeologi, 92: Delgrnge, S., 2. Light-n sesonl-inue plstiity in lef morphology, N prtitioning n photosyntheti pity of two temperte eiuous speies. Environ. Exp. Botny, 7: -. Feijó, N.S.A., M.S. Mielke, F.P. Gomes, S. Frn n A.O. Lvinsky, 29. Growth n photosyntheti responses of Gllesi integrifoli (Spreng.) Hrms n Shinus tereinthifolius Ri seelings in ense she. Agroforest. Syst., 77: Ginoli, E. n F. Vllres, 22. Stuying phenotypi plstiity: The vntges of ro pproh. Biol. J. Linnen So., 5: -7. Jensen, A.M., E.S. Griner n K.C. Vughn, 22. High-light limtion in Querus rour L. seelings upon over-topping she environment. Environ. Exp. Botny, 78: Miyke, C., S. Horiguhi, A. Mkino, Y. Shinzki, H. Ymmoto n K. Tomizw, 25. Effets of light intensity on yli eletron flow roun PSI n its reltionship to non-photohemil quenhing of hl fluoresene in too leves. Plnt Cell Physiol., 46: Oguhi, R., K. Hikosk, T. Hiur n T. Hirose, 26. Lef ntomy n light limtion in wooy seelings fter gp formtion in ool-temperte eiuous forest. Oeologi, 49: Rzvi, F., B. Pollet, K. Steppe n M.C. Vnleke, 28. Chlorophyll fluoresene s tool for evlution of rought stress in strwerry. Photosyntheti, 46(4): Shimtni, I.K. n Y. Kuot, 2. The sptiotemporl forest pth ynmis inferre from the fine-sle synhroniity in growth hronology. J. Vegett. Si., 22: Vllres, F. n R.W. Pery, 998. The funtionl eology of shoot rhiteture in sun n she plnts of Heteromeles rutifoli M. Roem, Clifornin hprrl shru. Oeologi, 4: -. Vn Kleunen, M. n M. Fisher, 25. Constrints on the evolution of ptive phenotypi plstiity in plnts. New Phytol., 66: Wng, L.J., W.B. Jing n B.J. Hung, 24. Promotion of 5- minole-vulini i on photosynthesis of melon (Cuumis melo L.) seelings uner lowlight n hilling stress grown onitions. Plnt Physiol., 2(2): Wyk, T.P., J. Oleksyn, R. Zytkowik, P. Krolewski, A.M. Jgozinski n P.B. Reih, 22. Responses of lef struture n photosyntheti properties to intr-nopy light grients: A ommon gren test with four rolef eiuous ngiosperm n seven evergreen onifer tree speies. Oeologi, 7: -24.

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

Research Article Rice Photosynthetic Productivity and PSII Photochemistry under Nonflooded Irrigation

Research Article Rice Photosynthetic Productivity and PSII Photochemistry under Nonflooded Irrigation Hinwi Pulishing Corportion e Sientifi Worl Journl, Artile ID 839658, 14 pges http://x.oi.org/10.1155/2014/839658 Reserh Artile Rie Photosyntheti Proutivity n PSII Photohemistry uner Nonflooe Irrigtion

More information

ERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY

ERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY ER 316: REIO EGIEERIG HER 3 RE LWS & SOIHIOMERY 1 OULIE R 1: Rte Lws Reltive Rtes of Retion Retion Orer & Rte Lw Retion Rte onstnt, k R 2: Stoihiometry th System Stoihiometri le low System Stoihiometri

More information

for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx

for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx Applitions of Integrtion Are of Region Between Two Curves Ojetive: Fin the re of region etween two urves using integrtion. Fin the re of region etween interseting urves using integrtion. Desrie integrtion

More information

Now we must transform the original model so we can use the new parameters. = S max. Recruits

Now we must transform the original model so we can use the new parameters. = S max. Recruits MODEL FOR VARIABLE RECRUITMENT (ontinue) Alterntive Prmeteriztions of the pwner-reruit Moels We n write ny moel in numerous ifferent ut equivlent forms. Uner ertin irumstnes it is onvenient to work with

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

Factorising FACTORISING.

Factorising FACTORISING. Ftorising FACTORISING www.mthletis.om.u Ftorising FACTORISING Ftorising is the opposite of expning. It is the proess of putting expressions into rkets rther thn expning them out. In this setion you will

More information

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs Isomorphism of Grphs Definition The simple grphs G 1 = (V 1, E 1 ) n G = (V, E ) re isomorphi if there is ijetion (n oneto-one n onto funtion) f from V 1 to V with the property tht n re jent in G 1 if

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

22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of:

22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of: 22: Union Fin CS 473u - Algorithms - Spring 2005 April 14, 2005 1 Union-Fin We wnt to mintin olletion of sets, uner the opertions of: 1. MkeSet(x) - rete set tht ontins the single element x. 2. Fin(x)

More information

I 3 2 = I I 4 = 2A

I 3 2 = I I 4 = 2A ECE 210 Eletril Ciruit Anlysis University of llinois t Chigo 2.13 We re ske to use KCL to fin urrents 1 4. The key point in pplying KCL in this prolem is to strt with noe where only one of the urrents

More information

CS 491G Combinatorial Optimization Lecture Notes

CS 491G Combinatorial Optimization Lecture Notes CS 491G Comintoril Optimiztion Leture Notes Dvi Owen July 30, August 1 1 Mthings Figure 1: two possile mthings in simple grph. Definition 1 Given grph G = V, E, mthing is olletion of eges M suh tht e i,

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

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

Changes in root characteristics, gas exchange and water use efficiency following water stress and rehydration of Alfalfa and Sorghum

Changes in root characteristics, gas exchange and water use efficiency following water stress and rehydration of Alfalfa and Sorghum JCS 5(12):1521-1532 (2011) ISSN:1835-2707 Chnges in root hrteristis, gs exhnge n wter use effiieny following wter stress n rehyrtion of lflf n Sorghum Wenro Li 1, 2, Suiqi Zhng * 2, Lun Shn 1, 2, Egriny

More information

Electronic Circuits I Revision after midterm

Electronic Circuits I Revision after midterm Eletroni Ciruits I Revision fter miterm Dr. Ahme ElShfee, ACU : Fll 2018, Eletroni Ciruits I -1 / 14 - MCQ1 # Question If the frequeny of the input voltge in Figure 2 36 is inrese, the output voltge will

More information

U Q W The First Law of Thermodynamics. Efficiency. Closed cycle steam power plant. First page of S. Carnot s paper. Sadi Carnot ( )

U Q W The First Law of Thermodynamics. Efficiency. Closed cycle steam power plant. First page of S. Carnot s paper. Sadi Carnot ( ) 0-9-0 he First Lw of hermoynmis Effiieny When severl lterntive proesses involving het n work re ville to hnge system from n initil stte hrterize y given vlues of the mrosopi prmeters (pressure p i, temperture

More information

Thermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam

Thermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam April 08 Therml energy Soures of het Trnsport of het How to use het The First Lw of Thermoynmis U W Or, if we wnt to otin externl work: U W 009 vrije Universiteit msterm Close yle stem power plnt The trik

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

INVESTIGATION OF THE OSL SIGNAL FROM VERY DEEP TRAPS IN NATURAL QUARTZ

INVESTIGATION OF THE OSL SIGNAL FROM VERY DEEP TRAPS IN NATURAL QUARTZ Meiterrnen Arheology n Arheometry, Vol. 010, No., pp. 9 98 Copyright 010 MAA Printe in Greee. All rights reserve. INVESTIGATION OF THE SIGNAL FROM VERY DEEP TRAPS IN NATURAL QUARTZ G. Kitis 1, N.G. Kiyk,

More information

Necessary and sucient conditions for some two. Abstract. Further we show that the necessary conditions for the existence of an OD(44 s 1 s 2 )

Necessary and sucient conditions for some two. Abstract. Further we show that the necessary conditions for the existence of an OD(44 s 1 s 2 ) Neessry n suient onitions for some two vrile orthogonl esigns in orer 44 C. Koukouvinos, M. Mitrouli y, n Jennifer Seerry z Deite to Professor Anne Penfol Street Astrt We give new lgorithm whih llows us

More information

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point GCSE C Emple 7 Work out 9 Give your nswer in its simplest form Numers n inies Reiprote mens invert or turn upsie own The reiprol of is 9 9 Mke sure you only invert the frtion you re iviing y 7 You multiply

More information

supplementary information

supplementary 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 information

Multiple stressor effects of ionising (gamma) radiation and non-ionising (UV) radiation in duckweed (Lemna minor)

Multiple stressor effects of ionising (gamma) radiation and non-ionising (UV) radiation in duckweed (Lemna minor) Multiple stressor effets of ionising (gmm) rdition nd non-ionising (UV) rdition in dukweed (Lemn minor) Li Xie 1,2,3, You Song 1,3, Knut Asjørn Solhug 2,3, Ole Christin Lind 2,3, Brit Slu 2,3, Bjørn Johnsen

More information

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1)

Math 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 information

VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS

VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS AGRICULTURAL ENGINEERING VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS Ltvi University of Agriulture E-mil: ilze.pelee@llu.lv Astrt Use of solr energy inreses every

More information

Eigenvectors and Eigenvalues

Eigenvectors 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 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

Momentum and Energy Review

Momentum and Energy Review Momentum n Energy Review Nme: Dte: 1. A 0.0600-kilogrm ll trveling t 60.0 meters per seon hits onrete wll. Wht spee must 0.0100-kilogrm ullet hve in orer to hit the wll with the sme mgnitue of momentum

More information

Logic, Set Theory and Computability [M. Coppenbarger]

Logic, Set Theory and Computability [M. Coppenbarger] 14 Orer (Hnout) Definition 7-11: A reltion is qusi-orering (or preorer) if it is reflexive n trnsitive. A quisi-orering tht is symmetri is n equivlene reltion. A qusi-orering tht is nti-symmetri is n orer

More information

CSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4

CSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4 Am Blnk Leture 13 Winter 2016 CSE 332 CSE 332: Dt Astrtions Sorting Dt Astrtions QuikSort Cutoff 1 Where We Are 2 For smll n, the reursion is wste. The onstnts on quik/merge sort re higher thn the ones

More information

The Stirling Engine: The Heat Engine

The Stirling Engine: The Heat Engine Memoril University of Newfounln Deprtment of Physis n Physil Oenogrphy Physis 2053 Lortory he Stirling Engine: he Het Engine Do not ttempt to operte the engine without supervision. Introution Het engines

More information

Particle Physics. Michaelmas Term 2011 Prof Mark Thomson. Handout 3 : Interaction by Particle Exchange and QED. Recap

Particle Physics. Michaelmas Term 2011 Prof Mark Thomson. Handout 3 : Interaction by Particle Exchange and QED. Recap Prtile Physis Mihelms Term 2011 Prof Mrk Thomson g X g X g g Hnout 3 : Intertion y Prtile Exhnge n QED Prof. M.A. Thomson Mihelms 2011 101 Rep Working towrs proper lultion of ey n sttering proesses lnitilly

More information

SIMPLE NONLINEAR GRAPHS

SIMPLE NONLINEAR GRAPHS S i m p l e N o n l i n e r G r p h s SIMPLE NONLINEAR GRAPHS www.mthletis.om.u Simple SIMPLE Nonliner NONLINEAR Grphs GRAPHS Liner equtions hve the form = m+ where the power of (n ) is lws. The re lle

More information

Logarithms LOGARITHMS.

Logarithms LOGARITHMS. Logrithms LOGARITHMS www.mthletis.om.u Logrithms LOGARITHMS Logrithms re nother method to lulte nd work with eponents. Answer these questions, efore working through this unit. I used to think: In the

More information

A Primer on Continuous-time Economic Dynamics

A Primer on Continuous-time Economic Dynamics Eonomis 205A Fll 2008 K Kletzer A Primer on Continuous-time Eonomi Dnmis A Liner Differentil Eqution Sstems (i) Simplest se We egin with the simple liner first-orer ifferentil eqution The generl solution

More information

Equivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts.

Equivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts. Frtions equivlent frtions Equivlent frtions hve the sme vlue ut they hve ifferent enomintors. This mens they hve een ivie into ifferent numer of prts. Use the wll to fin the equivlent frtions: Wht frtions

More information

SOME COPLANAR POINTS IN TETRAHEDRON

SOME COPLANAR POINTS IN TETRAHEDRON Journl of Pure n Applie Mthemtis: Avnes n Applitions Volume 16, Numer 2, 2016, Pges 109-114 Aville t http://sientifivnes.o.in DOI: http://x.oi.org/10.18642/jpm_7100121752 SOME COPLANAR POINTS IN TETRAHEDRON

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

Application of chlorophyll fluorescence performance indices to assess the wheat photosynthetic functions influenced by nitrogen deficiency

Application of chlorophyll fluorescence performance indices to assess the wheat photosynthetic functions influenced by nitrogen deficiency Vol. 6, 14, No. : 2 21 Plnt Soil Environ. Applition of hlorophyll fluoresene performne inies to ssess the whet photosyntheti funtions influene y nitrogen efiieny M. Živčák 1, K. Olšovská 1, P. Slmk 2,

More information

Chapter 4rth LIQUIDS AND SOLIDS MCQs

Chapter 4rth LIQUIDS AND SOLIDS MCQs Chpter 4rth LIQUIDS AND SOLIDS MCQs Q.1 Ioni solis re hrterize y () low melting points () goo onutivity in soli stte () high vpour pressure () soluility in polr solvents Q.2 Amorphous solis. () hve shrp

More information

SOME INTEGRAL INEQUALITIES FOR HARMONICALLY CONVEX STOCHASTIC PROCESSES ON THE CO-ORDINATES

SOME INTEGRAL INEQUALITIES FOR HARMONICALLY CONVEX STOCHASTIC PROCESSES ON THE CO-ORDINATES Avne Mth Moels & Applitions Vol3 No 8 pp63-75 SOME INTEGRAL INEQUALITIES FOR HARMONICALLY CONVE STOCHASTIC PROCESSES ON THE CO-ORDINATES Nurgül Okur * Imt Işn Yusuf Ust 3 3 Giresun University Deprtment

More information

Total score: /100 points

Total score: /100 points Points misse: Stuent's Nme: Totl sore: /100 points Est Tennessee Stte University Deprtment of Computer n Informtion Sienes CSCI 2710 (Trnoff) Disrete Strutures TEST 2 for Fll Semester, 2004 Re this efore

More information

18.06 Problem Set 4 Due Wednesday, Oct. 11, 2006 at 4:00 p.m. in 2-106

18.06 Problem Set 4 Due Wednesday, Oct. 11, 2006 at 4:00 p.m. in 2-106 8. Problem Set Due Wenesy, Ot., t : p.m. in - Problem Mony / Consier the eight vetors 5, 5, 5,..., () List ll of the one-element, linerly epenent sets forme from these. (b) Wht re the two-element, linerly

More information

Surds and Indices. Surds and Indices. Curriculum Ready ACMNA: 233,

Surds and Indices. Surds and Indices. Curriculum Ready ACMNA: 233, Surs n Inies Surs n Inies Curriulum Rey ACMNA:, 6 www.mthletis.om Surs SURDS & & Inies INDICES Inies n surs re very losely relte. A numer uner (squre root sign) is lle sur if the squre root n t e simplifie.

More information

Analysis of Temporal Interactions with Link Streams and Stream Graphs

Analysis of Temporal Interactions with Link Streams and Stream Graphs Anlysis of Temporl Intertions with n Strem Grphs, Tiphine Vir, Clémene Mgnien http:// ltpy@ LIP6 CNRS n Soronne Université Pris, Frne 1/23 intertions over time 0 2 4 6 8,,, n for 10 time units time 2/23

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

CS 360 Exam 2 Fall 2014 Name

CS 360 Exam 2 Fall 2014 Name CS 360 Exm 2 Fll 2014 Nme 1. The lsses shown elow efine singly-linke list n stk. Write three ifferent O(n)-time versions of the reverse_print metho s speifie elow. Eh version of the metho shoul output

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

Mid-Term Examination - Spring 2014 Mathematical Programming with Applications to Economics Total Score: 45; Time: 3 hours

Mid-Term Examination - Spring 2014 Mathematical Programming with Applications to Economics Total Score: 45; Time: 3 hours Mi-Term Exmintion - Spring 0 Mthemtil Progrmming with Applitions to Eonomis Totl Sore: 5; Time: hours. Let G = (N, E) e irete grph. Define the inegree of vertex i N s the numer of eges tht re oming into

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

2.4 Theoretical Foundations

2.4 Theoretical Foundations 2 Progrmming Lnguge Syntx 2.4 Theoretil Fountions As note in the min text, snners n prsers re se on the finite utomt n pushown utomt tht form the ottom two levels of the Chomsky lnguge hierrhy. At eh level

More information

Lesson 2.1 Inductive Reasoning

Lesson 2.1 Inductive Reasoning Lesson 2.1 Inutive Resoning Nme Perio Dte For Eerises 1 7, use inutive resoning to fin the net two terms in eh sequene. 1. 4, 8, 12, 16,, 2. 400, 200, 100, 50, 25,, 3. 1 8, 2 7, 1 2, 4, 5, 4. 5, 3, 2,

More information

Solutions for HW9. Bipartite: put the red vertices in V 1 and the black in V 2. Not bipartite!

Solutions for HW9. Bipartite: put the red vertices in V 1 and the black in V 2. Not bipartite! Solutions for HW9 Exerise 28. () Drw C 6, W 6 K 6, n K 5,3. C 6 : W 6 : K 6 : K 5,3 : () Whih of the following re iprtite? Justify your nswer. Biprtite: put the re verties in V 1 n the lk in V 2. Biprtite:

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

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

Supporting Information

Supporting Information Supporting Informtion Control Synthesis of Tuulr Hyperrosslinke Polymers for Highly Porous Cron Nnotues Xioyn Wng, Pn Mu, Chong Zhng, Yu Chen, Jinghui Zeng, Feng Wng n Ji-Xing Jing *, Shnxi Key Lortory

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

Dorf, R.C., Wan, Z. T- Equivalent Networks The Electrical Engineering Handbook Ed. Richard C. Dorf Boca Raton: CRC Press LLC, 2000

Dorf, R.C., Wan, Z. T- Equivalent Networks The Electrical Engineering Handbook Ed. Richard C. Dorf Boca Raton: CRC Press LLC, 2000 orf, R.C., Wn,. T- Equivlent Networks The Eletril Engineering Hndook Ed. Rihrd C. orf Bo Rton: CRC Press LLC, 000 9 T P Equivlent Networks hen Wn University of Cliforni, vis Rihrd C. orf University of

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

Lesson 2.1 Inductive Reasoning

Lesson 2.1 Inductive Reasoning Lesson 2.1 Inutive Resoning Nme Perio Dte For Eerises 1 7, use inutive resoning to fin the net two terms in eh sequene. 1. 4, 8, 12, 16,, 2. 400, 200, 100, 50, 25,, 3. 1 8, 2 7, 1 2, 4, 5, 4. 5, 3, 2,

More information

Common intervals of genomes. Mathieu Raffinot CNRS LIAFA

Common intervals of genomes. Mathieu Raffinot CNRS LIAFA Common intervls of genomes Mthieu Rffinot CNRS LIF Context: omprtive genomis. set of genomes prtilly/totlly nnotte Informtive group of genes or omins? Ex: COG tse Mny iffiulties! iology Wht re two similr

More information

Weed Management in Strawberry

Weed Management in Strawberry Wee Siene Wee Mngement in Strwerry Prinipl Investigtor Dr. Steven Fennimore Coopertive Extension Wee Speilist Dept. of Plnt Sienes University of Cliforni, Dvis USDA Agriulturl Reserh Sttion 1636 Est Alisl

More information

Chapter 19: The Second Law of Thermodynamics

Chapter 19: The Second Law of Thermodynamics hpter 9: he Seon Lw of hermoynmis Diretions of thermoynmi proesses Irreversile n reversile proesses hermoynmi proesses tht our in nture re ll irreversile proesses whih proee spontneously in one iretion

More information

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line APPENDIX D Preclculus Review APPENDIX D.1 Rel Numers n the Rel Numer Line Rel Numers n the Rel Numer Line Orer n Inequlities Asolute Vlue n Distnce Rel Numers n the Rel Numer Line Rel numers cn e represente

More information

CS311 Computational Structures Regular Languages and Regular Grammars. Lecture 6

CS311 Computational Structures Regular Languages and Regular Grammars. Lecture 6 CS311 Computtionl Strutures Regulr Lnguges nd Regulr Grmmrs Leture 6 1 Wht we know so fr: RLs re losed under produt, union nd * Every RL n e written s RE, nd every RE represents RL Every RL n e reognized

More information

Arrow s Impossibility Theorem

Arrow 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 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

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

Applied. Grade 9 Assessment of Mathematics. Multiple-Choice Items. Winter 2005

Applied. Grade 9 Assessment of Mathematics. Multiple-Choice Items. Winter 2005 Applie Gre 9 Assessment of Mthemtis Multiple-Choie Items Winter 2005 Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves remin the sme. . Multiple-Choie

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

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

Outline. Theory-based Bayesian framework for property induction Causal structure induction

Outline. 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 information

Angel International School - Manipay

Angel International School - Manipay Gre 6 Angel Interntionl Shool - Mnipy 2 n Term Exmintion Mrh, 2017 Siene Durtion: 02 Hours Inex No:- Prt 1 (1) Unerline the orret nswer. 1) Wht is the isese tht spre y unlen wter? ) Dengue ) Mlri ) Choler

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

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

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

Algebra 2 Semester 1 Practice Final

Algebra 2 Semester 1 Practice Final Alger 2 Semester Prtie Finl Multiple Choie Ientify the hoie tht est ompletes the sttement or nswers the question. To whih set of numers oes the numer elong?. 2 5 integers rtionl numers irrtionl numers

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

Algorithm Design and Analysis

Algorithm Design and Analysis Algorithm Design nd Anlysis LECTURE 8 Mx. lteness ont d Optiml Ching Adm Smith 9/12/2008 A. Smith; sed on slides y E. Demine, C. Leiserson, S. Rskhodnikov, K. Wyne Sheduling to Minimizing Lteness Minimizing

More information

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R /10/010 Question 1 1 mole of idel gs is rought to finl stte F y one of three proesses tht hve different initil sttes s shown in the figure. Wht is true for the temperture hnge etween initil nd finl sttes?

More information

The DOACROSS statement

The DOACROSS statement The DOACROSS sttement Is prllel loop similr to DOALL, ut it llows prouer-onsumer type of synhroniztion. Synhroniztion is llowe from lower to higher itertions sine it is ssume tht lower itertions re selete

More information

Probability The Language of Chance P(A) Mathletics Instant Workbooks. Copyright

Probability The Language of Chance P(A) Mathletics Instant Workbooks. Copyright Proility The Lnguge of Chne Stuent Book - Series L-1 P(A) Mthletis Instnt Workooks Copyright Proility The Lnguge of Chne Stuent Book - Series L Contents Topis Topi 1 - Lnguge of proility Topi 2 - Smple

More information

Effect of bio-priming on yield and yield components of maize (Zea mays L.) under drought stress

Effect 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 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

CARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005

CARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005 RLETON UNIVERSIT eprtment of Eletronis ELE 2607 Swithing iruits erury 28, 05; 0 pm.0 Prolems n Most Solutions, Set, 2005 Jn. 2, #8 n #0; Simplify, Prove Prolem. #8 Simplify + + + Reue to four letters (literls).

More information

Identifying and Classifying 2-D Shapes

Identifying and Classifying 2-D Shapes Ientifying n Clssifying -D Shpes Wht is your sign? The shpe n olour of trffi signs let motorists know importnt informtion suh s: when to stop onstrution res. Some si shpes use in trffi signs re illustrte

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

SEMI-EXCIRCLE OF QUADRILATERAL

SEMI-EXCIRCLE OF QUADRILATERAL JP Journl of Mthemtil Sienes Volume 5, Issue &, 05, Pges - 05 Ishn Pulishing House This pper is ville online t http://wwwiphsiom SEMI-EXCIRCLE OF QUADRILATERAL MASHADI, SRI GEMAWATI, HASRIATI AND HESY

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

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

Section 2.3. Matrix Inverses

Section 2.3. Matrix Inverses Mtri lger Mtri nverses Setion.. Mtri nverses hree si opertions on mtries, ition, multiplition, n sutrtion, re nlogues for mtries of the sme opertions for numers. n this setion we introue the mtri nlogue

More information

Decision-making with multiple alternatives

Decision-making with multiple alternatives Deision-mking with multiple lterntives Anne K Churhln, Roozeh Kini & Mihel N Shlen 28 Nture Pulishing Group http://www.nture.om/ntureneurosiene Simple pereptul tsks hve li the grounwork for unerstning

More information

POSITIVE IMPLICATIVE AND ASSOCIATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS

POSITIVE IMPLICATIVE AND ASSOCIATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS Bull. Koren Mth. So. 35 (998), No., pp. 53 6 POSITIVE IMPLICATIVE AND ASSOCIATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS YOUNG BAE JUN*, YANG XU AND KEYUN QIN ABSTRACT. We introue the onepts of positive

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

CHEM1611 Answers to Problem Sheet 9

CHEM1611 Answers to Problem Sheet 9 CEM1611 Answers to Prolem Sheet 9 1. Tutomers re struturl isomers whih re relte y migrtion of hyrogen tom n the exhnge of single on n jent oule on. Compoun Tutomer 2 2 2 2 2 2 2 2 2 2 2 2. () Whih pir

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

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

Lecture 2: Cayley Graphs

Lecture 2: Cayley Graphs Mth 137B Professor: Pri Brtlett Leture 2: Cyley Grphs Week 3 UCSB 2014 (Relevnt soure mteril: Setion VIII.1 of Bollos s Moern Grph Theory; 3.7 of Gosil n Royle s Algeri Grph Theory; vrious ppers I ve re

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