Practical Problems in Voltammetry: 4. Preparation of Working Electrodes

Size: px
Start display at page:

Download "Practical Problems in Voltammetry: 4. Preparation of Working Electrodes"

Transcription

1 Prtil Prolems in Voltmmetry: 4. Preprtion of Working Eletrodes Adrin W. Bott, Ph.D. Bionlytil Systems, In. West Lfyette, IN E-mil: The ondition of the surfe of the working eletrode n hve signifint effet on the urrent response in oth voltmmetri nd mperometri experiments. The methods most ommonly used for the preprtion of working eletrodes (polishing, eletrohemil pretretment, nd het pretretment) re disussed in this rtile. The fundmentl proess in eletrohemil retions is the trnsfer of eletrons etween the eletrode surfe nd moleules in the interfil region (either in solution or immoilized t the eletrode surfe). The kinetis of this heterogeneous proess n e signifintly ffeted y the mirostruture nd roughness of the eletrode surfe, the loking of tive sites on the eletrode surfe y dsored mterils, nd the nture of the funtionl groups (e.g., oxides) present on the surfe (1, 2). Therefore, there hs een onsiderle effort devoted to finding methods tht remove dsored speies from the eletrode nd produe n eletrode surfe tht genertes reproduile results. Some of these methods hve lso resulted in the tivtion of the eletrode surfe (s judged y n inrese in the rte of eletron trnsfer). These methods re the sujet of this pper, nd inlude mehnil polishing, het pretretment, nd eletrohemil pretretment. The most ommon method for surfe preprtion is mehnil polishing. The protool used for polishing depends on the pplition for whih the eletrode is eing used nd the stte of the eletrode surfe. There re vriety of different mterils ville (e.g., dimond, lumin, silion ride), with different prtile sizes suspended in solution (BAS supplies.5 µm lumin polish nd 1, 3, 6, nd 15 µm dimond polishes). The pd used for polishing lso depends on the mteril eing used for polishing Texmet pds re used with lumin polish, nd nylon pds should e used with dimond polish. Working eletrodes supplied y BAS hve first een lpped to produe flt surfe, nd hve then een extensively polished to smooth, mirror-like finish t the ftory. Therefore, they typilly only require repolishing with.5 µm or 1 µm dimond polish y the user in etween experiments. Mterils tht hve rougher surfe (e.g., eletrodes whih hve een srthed) must first e polished using lrger-prtile polish in order to remove the surfe defets. After the defets hve een removed, the polishing should ontinue with suessively smller-prtile-size polish (e.g., 15 µm, then 6 µm, then 3 µm,ndthen1µm). One polishing hs een ompleted (this n require from 3 s to severl minutes, depending upon the stte of the eletrode), the eletrode surfe must e rinsed thoroughly with n pproprite solvent to remove ll tres of the polishing mteril (sine its presene n ffet the eletron trnsfer kinetis). Alumin polishes should e rinsed with distilled wter nd dimond polishes with methnol or ethnol. The rinsing solution should e spryed diretly onto the eletrode surfe. After the surfe hs een rinsed, eletrodes polished with lumin should lso e sonited in distilled wter for few minutes to ensure omplete removl of the lumin prtiles. If more thn one type of polish is used, then the eletrode surfe should e thoroughly rinsed etween the different polishes. As disussed ove, the effet of ny surfe pretretment n e determined y its effet on the rte of eletron trnsfer. This n e judged qulittively y exmining the seprtion of the pek potentils in yli voltmmogrm of moleule whose eletron trnsfer kinetis re known to e sensitive to the stte of the surfe; more quntittive determintion n e mde y lulting the vlue of k s from this pek potentil seprtion. For exmple, k s for potssium ferriynide t glssy ron surfe following simple polishing protool ws found to lie in the rnge m s -1 (3,4) (this should e ompred with the vlues mesured for k s for pltinum eletrode, whih re t lest one order of mgnitude lrger). The strong dependene of the eletron trnsfer kinetis of ferriynide on the stte of the eletrode surfe mens tht

2 F1 Voltmmetry t ylindril ron fier eletrode (1) efore nd (2) fter eletrohemil pretretment: (A).1 mm dopmine nd (B) 1. mm sori id, ph 7 solutions, sn rte =.1 v/s. (Adpted from referene 11.) 1 2 na NH 2 (A) there n e signifint vritions in the pek potentil seprtion fter eh polishing. Polishing lters the mirostruture, roughness, nd funtionl groups of the eletrode surfe in ddition to removing dsored speies (for exmple, it hs een shown tht the oxygen-toron rtio is inresed y polishing (5)). It hs lso een reported tht mterils used for the polishing n ffet the vlue of k s (1,4,6). For exmple, the eletrode surfe n e ontminted y the gglomerting gents required to keep the lumin prtiles suspended in solution nd y the omponents of the polishing pd. The presene of these speies n hve deleterious effet on the eletron trnsfer kinetis y loking the tive sites for the eletron trnsfer retion. For the most exting studies, it ws suggested tht the lumin suspension e freshly mde with ultrpure wter nd tht the eletrode should e polished on glss ( k s vlue of.14 m s -1 for ferriynide ws reported following polishing under these stringent onditions (4)). However, it should e noted tht suh pronouned dependene on the stte of the eletrode surfe is only oserved for ertin systems (the most well hrterized exmples re the redution of ferriynide, the oxidtion of sorte, nd the dsorption of dopmine). For suh systems, polishing is often used in omintion with nother pretretment (e.g., het or eletrohemil). However, for mny other systems, the simple polishing 2 OH O E (V vs. SCE) 1 O OH 5 na (B) desried ove is dequte (for exmple, when using non-queous eletrolytes, sine loking of tive sites y dsored speies is less ommon in suh eletrolytes thn in queous solutions). Another method for preprtion of the eletrode surfe tht is eoming more widely used is eletrohemil pretretment (ECP), prtiulrly for eletrodes whih nnot redily e polished (e.g., ron fier ylinder eletrodes). ECP onsists of pplying onditioning potentils to the eletrode surfe efore the experiment. As for polishing, this hs the effet of removing dsored speies nd ltering the mirostruture, roughness, nd funtionl groups of the eletrode surfe. The preise ECP protool depends upon the pplition nd vries onsiderly. The potentil wveforms typilly re held t, or yle to, lrge positive or negtive potentil, either using steps or sweeps (onstnt potentil (6), potentil sn (7,8), tringulr wve (9-15) nd squre wve (16, 17)). Although the development of the preonditioning protools hs een lrgely empiril, the pretreted eletrode surfe hs een hrteriztized in order to eluidte the resons for the tivtion of the eletrode surfe (6,7,17,18). For glssy ron eletrodes, in ddition to the removl of dsored speies, the preonditioning potentil leds to the formtion of n oxygen-rih lyer on the ron surfe. This lyer ontins oxides s well s other oxygen-ontining 2 i OX funtionl groups whih my tlyze eletron trnsfer retions (the omposition of the funtionl groups in this lyer is sensitive to the pretretment onditions nd depends on the solution ph s well s the potentils used for the pretretment (19)). The oxide lyer n lso dsor nd/or exhnge ions from the solution, whih leds to improved detetion limits. However, eletrohemil pretretment of eletrodes inreses the kground urrent of the eletrode reltive to tht of polished eletrode, whih my e disdvntgeous for some pplitions. Some of the speifi effets nd pplitions of eletrohemil pretretment n est e illustrted y numer of exmples. Disrimintion Between Asorte nd Dopmine Using Pretreted Cron Fier Eletrodes In vivo determintion of neurotrnsmitters suh s dopmine is hindered y the uiquitous presene of sorte, sine dopmine nd sorte re oxidized t similr potentils. However, it hs een found tht pretretment of ron fier eletrodes using tringulr wveform (yling etween out V nd +3 V t frequeny of 7 Hz for 2 s, followed y holding t onstnt potentil of +1.5 V for 2 s) inreses the rte of eletron trnsfer for oth sorte nd dopmine (F1) nd hnges the sensitivity of the eletrode to these two nlytes (9-12). The shift in the pek potentils llowed resolution of the peks due to sorte nd dopmine mesured using differentil pulse voltmmetry. The reltive sensitivities for dopmine nd sorte for pretreted eletrodes were out 1:1, whih provides further disrimintion ginst interferene y sorte. The effet of this pretretment on ron fier eletrodes ws further exmined y studying the ehvior of rnge of moleules t

3 F2 Pek urrent vrition with inresing onentrtion, (A) without eletrohemil pretretment nd (B) with eletrohemil pretretment. Plting time = 3 se. Eh dt point is the verge of three repetitions. (Reprinted from referene 21.) F3 Vrition of pek potentils with inresing onentrtion, (A) without eletrohemil pretretment nd (B) with eletrohemil pretretment. Plting time = 3 se. Eh dt point is the verge of three repetitions. (Reprinted from referene 21.) Pek Current (na) Pek Potentil (mv) y = x R =.99 these eletrodes (12). Speifilly, the urrent responses mesured using yli voltmmetry were ompred with those lulted from theory. Although the eletron trnsfer kinetis for ll the systems exmined were inresed y the pretretment, the urrents mesured for tions suh s dopmine nd trnsition metl mine omplexes were lrger thn those lulted, wheres urrents for nions suh s sorte nd ferriynide were smller. The shpe of the yli voltmmogrms for the tions were onsistent with dsorption, nd this ws onfirmed using hronooulometry. The model proposed on the sis of these results involved the formtion of multilyer insulting oxide film on the ron surfe, together with frturing of the surfe. The oxide () () Added P (II) Conentrtion (pp) Added P(ll) Conetrtion (pp) () () lyer n preferentilly tke up positively hrged speies, whih leds to the lrger urrents oserved for dopmine nd the other tions. Anions, suh s sorte nd ferriynide, n only ret t the tive sites exposed y the frturing; tht is, they n only ret t smll frtion of the eletrode surfe, whih is onsistent with the smll urrent response. Although the ove method does led to high sensitivity for dopmine, the preonentrtion required mens tht there is dely in the response time. The response time n e improved y using less positive potentils in the pretretment wveform (out V) (13-15). A surfe oxide lyer is still formed t these potentils, ut it is thinner, nd hene it provides some inrese in its sensitivity for dopmine, while mintining good response time. Anlysis of Led(II) y Squre Wve Voltmmetry Using Gold Disk Eletrode Merury eletrodes re more ommonly used thn solid eletrodes for the detetion of led y nodi stripping voltmmetry, due to the more omplex intertions of led with the surfes of solid metls. This leds to non-liner reltionship etween the urrent nd the led onentrtion (F2A) nd signifint vrition in the pek potentil with inresing led onentrtion (F3A). These poor dt were ttriuted to umultion of the plted metl on the gold surfe, whih leds to vritions in the surfe ondition from one experiment to the next. These vritions n e eliminted y holding the eletrode t potentil of +.8 V vs. Ag/AgCl for five minutes efore strting the stripping experiments, nd then holding the eletrode t this potentil for 5 s etween experiments. The improvements in the linerity of the reltionship etween the urrent nd the onentrtion, nd in the onsisteny of the pek potentil, re redily pprent from F2B nd F3B, respetively. These dt show tht this pretretment restores the eletrode surfe to well-defined ondition. Detetion of Sugrs, Amines, nd Sulfur Compounds Using Pulsed Eletrohemil Detetion In the two exmples ove, the pretretment potentil ws pplied efore eh experiment. However, the preonditioning potentil n lso e inorported into the experimentl wveform to provide eletrode lening nd tivtion t regulr intervls during the experiment. One exmple of suh n experiment is the Pulsed Eletrohemil Detetion (PED) used for

4 F4 Potentil wveform for PED. F5 Comprison of urrent vs. time plots for (A) PED nd (B) onstnt potentil mperometry. Solutions: () lysine, 3 ppm; () gluose, 1 ppm; () surose, 4 ppm. (Reprinted with permission from referene 23.) (A) Potentil (V) (B) 2 nc the detetion of, for exmple, sugrs, mines, nd sulfur ompounds t gold nd pltinum eletrodes (22, 23). These moleules n e oxidized t the surfe of pltinum or gold metl vi n eletrotlyti retion whih is thought to involve dsorption of the nlyte nd retion with dsored hydroxyl groups ( detiled mehnism hs not yet een eluidted). Sine the retion involves dsorption, the eletrotlyti tivity of the eletrode (nd hene the urrent response) dereses with time. This prolem n e solved through the pplition of triple potentil pulse Time (s) Ι Ι Ι Ι Ι Ι Ι 2 nc Ι Ι Ι Time (min) wveform (F4). The first pulse is t potentil t whih the eletrotlyti retion ours (detetion step). Sine this step pssivtes the eletrode surfe, the next pulse is t more positive potentil. This results in the desorption of the pssivting speies, onomitnt with the formtion of n inert oxide lyer (lening step). The eletrode is now retivted y the removl of the oxide lyer using negtive potentil (retivtion step). The eletrode is now redy for the next detetion step. The triple pulse sequene n e used either mperometrilly for EC detetion following seprtion y LC, or voltmmetrilly, y omining the triple pulse with, for exmple, stirse potentil wveform (oth options re ville on the BAS 1B/W). The effet of the lening/detivtion potentil pulses is illustrted in F5. F5A shows the urrent response using fixed potentil for the detetion of sugrs following hromtogrphi seprtion. The derese of the urrent response with time is due to the progressive pssivtion of the eletrode surfe. In ontrst, the urrent response for the triple pulse sequene does not diminish with time (F5B)(23). Ativtion of the eletrode surfe n lso e hieved y therml pretretment. The eletrodes n either y heted under vuum (24,25) or n e exposed to lser (26-28). Although suh tretments do give rise to enhned rtes of eletron trnsfer, s well s reproduile surfes, they re not prtil for routine use. The tivtion for these pretretments ws ttriuted to the removl of dsored speies from the eletrode surfe (29,3). The development of pretretment methods hs een ompnied y the hrteriztion of eletrode surfes efore nd fter suh pretretments in order to eluidte the hnges in the surfe tht led to tivtion (4-7,17,18,24-26,29-34). However, for most pretretments, it is not possile to identify unmiguously ny one hnge in the surfe tht n e orrelted with the tivtion (for exmple, the tivtion in some instnes my e due simply to the removl of dsored speies from tive sites, wheres in other instnes the hnges in the surfe funtionl groups my lso e importnt). The effetiveness of given pretretment lso depends on the nlyte under investigtion. Therefore, the optiml pretretment for given pplition n only e found experimentlly.

5 Referenes 1. R.L. MCreery nd K.K. Kline in Lortory Tehniques in Eletronlytil Chemistry 2nd Edition (P.T. Kissinger nd W.R. Heinemn eds.), Dekker, New York, 1995, Chp R.L. MCreery in Eletronlytil Chemistry Vol. 17 (A.J. Brd ed.), Dekker, New York, 1991, J. Zk nd T. Kuwn, J. Eletronl. Chem. 15 (1983) I. Hu, D.H. Krwiek, nd T. Kuwn, J. Eletronl. Chem. 188 (1985) G.N. Kmu, W.S. Willis, nd J.F. Rusling, Anl. Chem. 57 (1985) R.C. Engstrom nd V.A. Strsser, Anl. Chem. 56 (1984) L.J. Kepley, nd A.J. Brd, Anl. Chem. 6 (1988) L. Otero, N. Vettorzzi, C. Brero, M.C. Mirs, J.J. Siler, nd L. Sereno, J. Eletronl. Chem. 35 (1993) F.G. Gonon, M.J. Bud, R. Cespuglio, M. Jouvet, nd J.F. Pujol, Nture (London) 286 (198) F.G. Gonon, C.M. Fomrlet, M.J. Bud, nd J.F. Pujol, Anl. Chem. 53 (1981) P.M. Kovh, A.G. Ewing, R.L. Wilson, nd R.M. Wightmn, J. Neuro. Meth. 1 (1984) P.M. Kovh, M.R. Dekin, nd R.M. Wightmn, J. Phys. Chem. 9 (1986) S. Sujritvnihlong, K. Aoki, K. Tokud nd H. Mtsud, J. Eletronl. Chem. 198 (1986) A.C. Mihel nd J.B. Justie, Anl. Chem. 59 (1987) J.X. Feng, M. Brzell, K. Renner, R. Ksser nd R.N. Adms, Anl. Chem. 59 (1987) J. Wng nd M.S. Li, Anl. Chem. 6 (1988) J. Wng, P. Tuzhi, nd V. Vill, J. Eletronl. Chem. 234 (1987) Y.W. Alsmeyer nd R.L. MCreery, Lngmiur 7 (1991) A.L. Beily, T.A. Sski, nd H.M. Stern, Anl. Chem. 67 (1995) J. Wng nd B. Tin, Anl. Chem. 65 (1993) H.G. Jyrtn, Curr. Seps. 12 (1993) D.C. Johnson nd W.R. LCourse, Anl. Chem. 62 (199) 589A. 23. W.R. LCourse in Pulsed Eletrohemil Detetion in High-Performne Liquid Chromtogrphy Wiley, K.J. Stutts, P.M. Kovh, W.G. Kuhr, nd R.M. Wightmn, Anl. Chem. 55 (1983) G.W. Hne nd T. Kuwn, Anl. Chem. 57 (1985) M. Poon nd R.L. MCreery, Anl. Chem. 58 (1986) M. Poon, R.L. MCreery, nd R. Engstrom, Anl. Chem. 6 (1988) T.G. Strein nd A.G. Ewing, Anl. Chem. 63 (1991) R.J. Rie, N.M. Pontikos, nd R.L. MCreery, J. Am. Chem. So. 112 (199) M.T. MDermott, C.A. Allred, nd R.L. MCreery, Anl. Chem. 65 (1993) B. Kzee, D.E. Weisshr, nd T. Kuwn, Anl. Chem. 57 (1985) R.J. Rie, C.A. Allred, nd R.L. MCreery, J. Eletronl. Chem. 263 (1989) Y.W. Alsmeyer nd R.L. MCreery, Anl. Chem. 63 (1991) N.M. Pontikos nd R.L. MCreery, J. Eletronl. Chem. 324 (1992) 229.

c b 5.00 10 5 N/m 2 (0.120 m 3 0.200 m 3 ), = 4.00 10 4 J. W total = W a b + W b c 2.00

c b 5.00 10 5 N/m 2 (0.120 m 3 0.200 m 3 ), = 4.00 10 4 J. W total = W a b + W b c 2.00 Chter 19, exmle rolems: (19.06) A gs undergoes two roesses. First: onstnt volume @ 0.200 m 3, isohori. Pressure inreses from 2.00 10 5 P to 5.00 10 5 P. Seond: Constnt ressure @ 5.00 10 5 P, isori. olume

More information

p-q Theory Power Components Calculations

p-q Theory Power Components Calculations ISIE 23 - IEEE Interntionl Symposium on Industril Eletronis Rio de Jneiro, Brsil, 9-11 Junho de 23, ISBN: -783-7912-8 p-q Theory Power Components Clultions João L. Afonso, Memer, IEEE, M. J. Sepúlved Freits,

More information

CHAPTER 31 CAPACITOR

CHAPTER 31 CAPACITOR . Given tht Numer of eletron HPTER PITOR Net hrge Q.6 9.6 7 The net potentil ifferene L..6 pitne v 7.6 8 F.. r 5 m. m 8.854 5.4 6.95 5 F... Let the rius of the is R re R D mm m 8.85 r r 8.85 4. 5 m.5 m

More information

2 DIODE CLIPPING and CLAMPING CIRCUITS

2 DIODE CLIPPING and CLAMPING CIRCUITS 2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of

More information

Ratio and Proportion

Ratio and Proportion Rtio nd Proportion Rtio: The onept of rtio ours frequently nd in wide vriety of wys For exmple: A newspper reports tht the rtio of Repulins to Demorts on ertin Congressionl ommittee is 3 to The student/fulty

More information

Calculating Principal Strains using a Rectangular Strain Gage Rosette

Calculating Principal Strains using a Rectangular Strain Gage Rosette Clulting Prinipl Strins using Retngulr Strin Gge Rosette Strin gge rosettes re used often in engineering prtie to determine strin sttes t speifi points on struture. Figure illustrtes three ommonly used

More information

THE LONGITUDINAL FIELD IN THE GTEM 1750 AND THE NATURE OF THE TERMINATION.

THE LONGITUDINAL FIELD IN THE GTEM 1750 AND THE NATURE OF THE TERMINATION. THE LONGITUDINAL FIELD IN THE GTEM 175 AND THE NATURE OF THE TERMINATION. Benjmin Guy Loder Ntionl Physil Lbortory, Queens Rod, Teddington, Middlesex, Englnd. TW11 LW Mrtin Alexnder Ntionl Physil Lbortory,

More information

Chapter. Contents: A Constructing decimal numbers

Chapter. Contents: A Constructing decimal numbers Chpter 9 Deimls Contents: A Construting deiml numers B Representing deiml numers C Deiml urreny D Using numer line E Ordering deimls F Rounding deiml numers G Converting deimls to frtions H Converting

More information

Practice Test 2. a. 12 kn b. 17 kn c. 13 kn d. 5.0 kn e. 49 kn

Practice Test 2. a. 12 kn b. 17 kn c. 13 kn d. 5.0 kn e. 49 kn Prtie Test 2 1. A highwy urve hs rdius of 0.14 km nd is unnked. A r weighing 12 kn goes round the urve t speed of 24 m/s without slipping. Wht is the mgnitude of the horizontl fore of the rod on the r?

More information

Module 5. Three-phase AC Circuits. Version 2 EE IIT, Kharagpur

Module 5. Three-phase AC Circuits. Version 2 EE IIT, Kharagpur Module 5 Three-hse A iruits Version EE IIT, Khrgur esson 8 Three-hse Blned Suly Version EE IIT, Khrgur In the module, ontining six lessons (-7), the study of iruits, onsisting of the liner elements resistne,

More information

J. Q. Mou, Fukun Lai, I. B. L. See, and W. Z. Lin Data Storage Institute, 5 Engineering Drive 1, Singapore 117608

J. Q. Mou, Fukun Lai, I. B. L. See, and W. Z. Lin Data Storage Institute, 5 Engineering Drive 1, Singapore 117608 Anlysis of Noteook Computer Cssis Design for rd Disk Drive nd Speker Mounting J. Q. Mou, Fukun Li, I. B. L. See, nd W. Z. Lin Dt Storge Institute, 5 Engineering Drive 1, Singpore 117608 Astrt - Cssis design

More information

Thermosensing Ability of Trg and Tap Chemoreceptors in Escherichia coli

Thermosensing Ability of Trg and Tap Chemoreceptors in Escherichia coli JOURNAL OF BACTROLOGY, Feb. 99, p. 2-24 2-993/9/32-5$2./ Copyright C) 99, Amerin Soiety for Mirobiology Vol. 73, No. 3 Thermosensing Ability of Trg nd Tp Chemoreeptors in sherihi oli TOSHFUM NARA, LAN

More information

SUPPLEMENTARY MATERIAL

SUPPLEMENTARY MATERIAL SUPPLEMENTARY MATERIAL Lyer-speifi exittory iruits differentilly ontrol reurrent network dynmis in the neoortex Rirdo Beltrmo, Giuli D Urso, Mro Dl Mshio, Psqulin Frisello, Seren Bovetti, Yonne Clovis,

More information

1. Definition, Basic concepts, Types 2. Addition and Subtraction of Matrices 3. Scalar Multiplication 4. Assignment and answer key 5.

1. Definition, Basic concepts, Types 2. Addition and Subtraction of Matrices 3. Scalar Multiplication 4. Assignment and answer key 5. . Definition, Bsi onepts, Types. Addition nd Sutrtion of Mtries. Slr Multiplition. Assignment nd nswer key. Mtrix Multiplition. Assignment nd nswer key. Determinnt x x (digonl, minors, properties) summry

More information

Chap.6 Surface Energy

Chap.6 Surface Energy Chp.6 urfe Energy (1) Bkground: Consider the toms in the bulk nd surfe regions of rystl: urfe: toms possess higher energy sine they re less tightly bound. Bulk: toms possess lower energy sine they re muh

More information

OUTLINE SYSTEM-ON-CHIP DESIGN. GETTING STARTED WITH VHDL August 31, 2015 GAJSKI S Y-CHART (1983) TOP-DOWN DESIGN (1)

OUTLINE SYSTEM-ON-CHIP DESIGN. GETTING STARTED WITH VHDL August 31, 2015 GAJSKI S Y-CHART (1983) TOP-DOWN DESIGN (1) August 31, 2015 GETTING STARTED WITH VHDL 2 Top-down design VHDL history Min elements of VHDL Entities nd rhitetures Signls nd proesses Dt types Configurtions Simultor sis The testenh onept OUTLINE 3 GAJSKI

More information

Words Symbols Diagram. abcde. a + b + c + d + e

Words Symbols Diagram. abcde. a + b + c + d + e Logi Gtes nd Properties We will e using logil opertions to uild mhines tht n do rithmeti lultions. It s useful to think of these opertions s si omponents tht n e hooked together into omplex networks. To

More information

Simulation of a large electric distribution system having intensive harmonics in the industrial zone of Konya

Simulation of a large electric distribution system having intensive harmonics in the industrial zone of Konya Turkish Journl of Eletril Engineering & omputer Sienes http:// journls. tuitk. gov. tr/ elektrik/ Reserh rtile Turk J Ele Eng & omp Si (2013) 21: 934 944 TÜİTK doi:10.3906/elk-1201-55 Simultion of lrge

More information

INSTALLATION, OPERATION & MAINTENANCE

INSTALLATION, OPERATION & MAINTENANCE DIESEL PROTECTION SYSTEMS Exhust Temperture Vlves (Mehnil) INSTALLATION, OPERATION & MAINTENANCE Vlve Numer TSZ-135 TSZ-150 TSZ-200 TSZ-275 TSZ-392 DESCRIPTION Non-eletril temperture vlves mnuftured in

More information

SECTION 7-2 Law of Cosines

SECTION 7-2 Law of Cosines 516 7 Additionl Topis in Trigonometry h d sin s () tn h h d 50. Surveying. The lyout in the figure t right is used to determine n inessile height h when seline d in plne perpendiulr to h n e estlished

More information

Student Access to Virtual Desktops from personally owned Windows computers

Student Access to Virtual Desktops from personally owned Windows computers Student Aess to Virtul Desktops from personlly owned Windows omputers Mdison College is plesed to nnoune the ility for students to ess nd use virtul desktops, vi Mdison College wireless, from personlly

More information

Optimizing the immobilization of gold nanoparticles on functionalized silicon surfaces: amine- vs thiol-terminated silane

Optimizing the immobilization of gold nanoparticles on functionalized silicon surfaces: amine- vs thiol-terminated silane Optimizing the immoiliztion of gold nnoprtiles on funtionlized silion surfes: mine- vs thiol-terminted silne Mrou Ben Hddd, Juliette Blnhrd, Sndr Csle, Jen-Mr Krfft, Anne Vllée, Christophe Méthivier, Souhir

More information

- DAY 1 - Website Design and Project Planning

- DAY 1 - Website Design and Project Planning Wesite Design nd Projet Plnning Ojetive This module provides n overview of the onepts of wesite design nd liner workflow for produing wesite. Prtiipnts will outline the sope of wesite projet, inluding

More information

Equivalence Checking. Sean Weaver

Equivalence Checking. Sean Weaver Equivlene Cheking Sen Wever Equivlene Cheking Given two Boolen funtions, prove whether or not two they re funtionlly equivlent This tlk fouses speifilly on the mehnis of heking the equivlene of pirs of

More information

British Journal of Nutrition

British Journal of Nutrition (2013), 110, 981 987 q The Authors 2013 doi:10.1017/s0007114512006174 Post-exerise whey protein hydrolyste supplementtion indues greter inrese in musle protein synthesis thn its onstituent mino id ontent

More information

Arc-Consistency for Non-Binary Dynamic CSPs

Arc-Consistency for Non-Binary Dynamic CSPs Ar-Consisteny for Non-Binry Dynmi CSPs Christin Bessière LIRMM (UMR C 9928 CNRS / Université Montpellier II) 860, rue de Sint Priest 34090 Montpellier, Frne Emil: essiere@rim.fr Astrt. Constrint stisftion

More information

COMPENSAZIONE DEI DEAD TIMES NEGLI INVERTER DI TENSIONE. M.Zigliotto Università di Udine

COMPENSAZIONE DEI DEAD TIMES NEGLI INVERTER DI TENSIONE. M.Zigliotto Università di Udine 14/04/2004 COMPENSAZIONE DEI DEAD TIMES NEGLI INVERTER DI TENSIONE M.Zigliotto Università di Udine INTRODUCTION The vilbility of powerful nd reltively inexpensive fst digitl signl proessors (DSP) is the

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

Trowel Notch Sizes for Installation of Floor Coverings, Wood Flooring and Tiles

Trowel Notch Sizes for Installation of Floor Coverings, Wood Flooring and Tiles TKB-Tehnil Briefing Note 6 Trowel Noth s for Instlltion of Floor Coverings, Wood Flooring nd Tiles Version: My 2007 Prepred y the Tehnishe Kommission Buklestoffe (TKB) (Tehnil Commission on Constrution

More information

Active Directory Service

Active Directory Service In order to lern whih questions hve een nswered orretly: 1. Print these pges. 2. Answer the questions. 3. Send this ssessment with the nswers vi:. FAX to (212) 967-3498. Or. Mil the nswers to the following

More information

Maximum area of polygon

Maximum area of polygon Mimum re of polygon Suppose I give you n stiks. They might e of ifferent lengths, or the sme length, or some the sme s others, et. Now there re lots of polygons you n form with those stiks. Your jo is

More information

THERMAL EXPANSION OF TUNGSTEN

THERMAL EXPANSION OF TUNGSTEN . THERMAL EXPANSION OF TUNGSTEN S515 By Peter Hidnert nd W. T. Sweeney ABSTRACT This pper gives the results of n investigtion on the therml expnsion of tungsten (99.98 per cent) over vrious temperture

More information

11. Nuclear Magnetic Resonance (NMR) Spectroscopy

11. Nuclear Magnetic Resonance (NMR) Spectroscopy 11. Nuler Mgneti Resonne (NMR) Spetrosopy A. Bsi Priniples Nuler mgneti resonne (NMR) spetrosopy is one of the most importnt nd widely used methods for determining the struture of orgni moleules. NMR llows

More information

Clause Trees: a Tool for Understanding and Implementing Resolution in Automated Reasoning

Clause Trees: a Tool for Understanding and Implementing Resolution in Automated Reasoning Cluse Trees: Tool for Understnding nd Implementing Resolution in Automted Resoning J. D. Horton nd Brue Spener University of New Brunswik, Frederiton, New Brunswik, Cnd E3B 5A3 emil : jdh@un. nd spener@un.

More information

Radius of the Earth - Radii Used in Geodesy James R. Clynch Naval Postgraduate School, 2002

Radius of the Earth - Radii Used in Geodesy James R. Clynch Naval Postgraduate School, 2002 dius of the Erth - dii Used in Geodesy Jmes. Clynh vl Postgrdute Shool, 00 I. Three dii of Erth nd Their Use There re three rdii tht ome into use in geodesy. These re funtion of ltitude in the ellipsoidl

More information

How To Find The Re Of Tringle

How To Find The Re Of Tringle Heron s Formul for Tringulr Are y Christy Willims, Crystl Holom, nd Kyl Gifford Heron of Alexndri Physiist, mthemtiin, nd engineer Tught t the museum in Alexndri Interests were more prtil (mehnis, engineering,

More information

Angles 2.1. Exercise 2.1... Find the size of the lettered angles. Give reasons for your answers. a) b) c) Example

Angles 2.1. Exercise 2.1... Find the size of the lettered angles. Give reasons for your answers. a) b) c) Example 2.1 Angles Reognise lternte n orresponing ngles Key wors prllel lternte orresponing vertilly opposite Rememer, prllel lines re stright lines whih never meet or ross. The rrows show tht the lines re prllel

More information

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand Modelling nd Simultion of hemicl Processes in Multi Pulse TP Experiment P. Phnwdee* S.O. Shekhtmn +. Jrungmnorom** J.T. Gleves ++ * Dpt. hemicl Engineering, Ksetsrt University, Bngkok 10900, Thilnd + Dpt.hemicl

More information

UNIVERSITY AND WORK-STUDY EMPLOYERS WEBSITE USER S GUIDE

UNIVERSITY AND WORK-STUDY EMPLOYERS WEBSITE USER S GUIDE UNIVERSITY AND WORK-STUDY EMPLOYERS WEBSITE USER S GUIDE Tble of Contents 1 Home Pge 1 2 Pge 2 3 Your Control Pnel 3 4 Add New Job (Three-Step Form) 4-6 5 Mnging Job Postings (Mnge Job Pge) 7-8 6 Additionl

More information

European Convention on Social and Medical Assistance

European Convention on Social and Medical Assistance Europen Convention on Soil nd Medil Assistne Pris, 11.XII.1953 Europen Trety Series - No. 14 The governments signtory hereto, eing memers of the Counil of Europe, Considering tht the im of the Counil of

More information

A System Context-Aware Approach for Battery Lifetime Prediction in Smart Phones

A System Context-Aware Approach for Battery Lifetime Prediction in Smart Phones A System Context-Awre Approh for Bttery Lifetime Predition in Smrt Phones Xi Zho, Yo Guo, Qing Feng, nd Xingqun Chen Key Lbortory of High Confidene Softwre Tehnologies (Ministry of Edution) Shool of Eletronis

More information

1 Fractions from an advanced point of view

1 Fractions from an advanced point of view 1 Frtions from n vne point of view We re going to stuy frtions from the viewpoint of moern lger, or strt lger. Our gol is to evelop eeper unerstning of wht n men. One onsequene of our eeper unerstning

More information

SOLVING QUADRATIC EQUATIONS BY FACTORING

SOLVING QUADRATIC EQUATIONS BY FACTORING 6.6 Solving Qudrti Equtions y Ftoring (6 31) 307 In this setion The Zero Ftor Property Applitions 6.6 SOLVING QUADRATIC EQUATIONS BY FACTORING The tehniques of ftoring n e used to solve equtions involving

More information

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3. The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only

More information

Innovation in Software Development Process by Introducing Toyota Production System

Innovation in Software Development Process by Introducing Toyota Production System Innovtion in Softwre Development Proess y Introduing Toyot Prodution System V Koihi Furugki V Tooru Tkgi V Akinori Skt V Disuke Okym (Mnusript reeived June 1, 2006) Fujitsu Softwre Tehnologies (formerly

More information

Copyright 2009 by Maggioli S.p.A.

Copyright 2009 by Maggioli S.p.A. Copyright 29 y Mggioli S.p.A. Mggioli Editore è un mrhio di Mggioli S.p.A. Aziend on sistem qulità ertifito ISO 91: 2 47822 Sntrngelo di Romgn (RN) Vi del Crpino, 8 Tel. 541/628111 Fx 541/6222 www.mggioli.it/serviziolienti

More information

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply?

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply? Assignment 3: Bohr s model nd lser fundmentls 1. In the Bohr model, compre the mgnitudes of the electron s kinetic nd potentil energies in orit. Wht does this imply? When n electron moves in n orit, the

More information

KEY SKILLS INFORMATION TECHNOLOGY Level 3. Question Paper. 29 January 9 February 2001

KEY SKILLS INFORMATION TECHNOLOGY Level 3. Question Paper. 29 January 9 February 2001 KEY SKILLS INFORMATION TECHNOLOGY Level 3 Question Pper 29 Jnury 9 Ferury 2001 WHAT YOU NEED This Question Pper An Answer Booklet Aess to omputer, softwre nd printer You my use ilingul ditionry Do NOT

More information

Lecture 3 Gaussian Probability Distribution

Lecture 3 Gaussian Probability Distribution Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike

More information

European Convention on Products Liability in regard to Personal Injury and Death

European Convention on Products Liability in regard to Personal Injury and Death Europen Trety Series - No. 91 Europen Convention on Produts Liility in regrd to Personl Injury nd Deth Strsourg, 27.I.1977 The memer Sttes of the Counil of Europe, signtory hereto, Considering tht the

More information

Data Security 1. 1 What is the function of the Jump instruction? 2 What are the main parts of the virus code? 3 What is the last act of the virus?

Data Security 1. 1 What is the function of the Jump instruction? 2 What are the main parts of the virus code? 3 What is the last act of the virus? UNIT 18 Dt Seurity 1 STARTER Wht stories do you think followed these hedlines? Compre nswers within your group. 1 Love ug retes worldwide hos. 2 Hkers rk Mirosoft softwre odes. 3 We phone sm. Wht other

More information

MATH PLACEMENT REVIEW GUIDE

MATH PLACEMENT REVIEW GUIDE MATH PLACEMENT REVIEW GUIDE This guie is intene s fous for your review efore tking the plement test. The questions presente here my not e on the plement test. Although si skills lultor is provie for your

More information

2008-2011 Project Report

2008-2011 Project Report 2008-2011 Projet Report Projet Nme: Emmetsurg Soil Study: Evlution of orn o nd stover removl levels on rop prodution, soil qulity nd nutrient levels. Priniple Investigtors: Dr. Sturt Birrell, Assoite Professor

More information

If two triangles are perspective from a point, then they are also perspective from a line.

If two triangles are perspective from a point, then they are also perspective from a line. Mth 487 hter 4 Prtie Prolem Solutions 1. Give the definition of eh of the following terms: () omlete qudrngle omlete qudrngle is set of four oints, no three of whih re olliner, nd the six lines inident

More information

Ice nanoclusters at hydrophobic metal surfaces

Ice nanoclusters at hydrophobic metal surfaces e nnolusters t hydrophoi metl surfes ARTCLES ANGELOS MCHAELDES 1,2 * AND KARNA MORGENSTERN 3 1 Fritz-Her-nstitut der Mx-Plnk-Gesellshft, Frdyweg 4-6, D-1415 Berlin, Germny 2 London Centre for Nnotehnology

More information

Orthodontic marketing through social media networks: The patient and practitioner s perspective

Orthodontic marketing through social media networks: The patient and practitioner s perspective Originl rtile Orthodonti mrketing through soil medi networks: The ptient nd prtitioner s perspetive Kristin L. Nelson ; Bhvn Shroff ; l M. Best ; Steven J. Linduer d BSTRCT Ojetive: To (1) ssess orthodonti

More information

Or more simply put, when adding or subtracting quantities, their uncertainties add.

Or more simply put, when adding or subtracting quantities, their uncertainties add. Propgtion of Uncertint through Mthemticl Opertions Since the untit of interest in n eperiment is rrel otined mesuring tht untit directl, we must understnd how error propgtes when mthemticl opertions re

More information

How To Balance Power In A Distribution System

How To Balance Power In A Distribution System NTERNATONA JOURNA OF ENERG, ssue 3, ol., 7 A dynmilly S bsed ompt ontrol lgorithm for lod blning in distribution systems A. Kzemi, A. Mordi Koohi nd R. Rezeipour Abstrt An lgorithm for pplying fixed pitor-thyristorontrolled

More information

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( ) Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +

More information

15.6. The mean value and the root-mean-square value of a function. Introduction. Prerequisites. Learning Outcomes. Learning Style

15.6. The mean value and the root-mean-square value of a function. Introduction. Prerequisites. Learning Outcomes. Learning Style The men vlue nd the root-men-squre vlue of function 5.6 Introduction Currents nd voltges often vry with time nd engineers my wish to know the verge vlue of such current or voltge over some prticulr time

More information

PLWAP Sequential Mining: Open Source Code

PLWAP Sequential Mining: Open Source Code PL Sequentil Mining: Open Soure Code C.I. Ezeife Shool of Computer Siene University of Windsor Windsor, Ontrio N9B 3P4 ezeife@uwindsor. Yi Lu Deprtment of Computer Siene Wyne Stte University Detroit, Mihign

More information

Inter-domain Routing

Inter-domain Routing COMP 631: COMPUTER NETWORKS Inter-domin Routing Jsleen Kur Fll 2014 1 Internet-sle Routing: Approhes DV nd link-stte protools do not sle to glol Internet How to mke routing slle? Exploit the notion of

More information

Qualmark Licence Agreement

Qualmark Licence Agreement Terms nd Conditions Qulmrk Liene Agreement Terms nd Conditions Terms nd Conditions 1. Liene Holder Applint 2. Confirmed Sttus 3. Term nd Renewl 4. Use of the Intelletul Property 5. Qulmrk Progrmme Rtings

More information

EQUATIONS OF LINES AND PLANES

EQUATIONS OF LINES AND PLANES EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint

More information

Study on enzyme-assisted aqueous extraction of oil from soybean

Study on enzyme-assisted aqueous extraction of oil from soybean 8 Journl Scientific & Industril Reserch J SCI IND RES VOL 69 NOVEMBER 2010 Vol. 69, November 2010, pp. 8-865 Study on enzyme-ssisted queous extrction oil from soyben Jun-Qing Qin*, De-Hui Qin, Xing-Mo

More information

Electrical spin protection and manipulation via gate-locked spin-orbit fields

Electrical spin protection and manipulation via gate-locked spin-orbit fields Eletril spin protetion nd mnipultion vi gte-loked spin-orit fields Florin Dettwiler, Jiyong Fu,, Shwn Mk,, Pirmin J. Weigele, J. Crlos Egues, Dvid D. Awshlom,, nd Dominik M. Zumühl, Deprtment of Physis,

More information

How To Organize A Meeting On Gotomeeting

How To Organize A Meeting On Gotomeeting NOTES ON ORGANIZING AND SCHEDULING MEETINGS Individul GoToMeeting orgnizers my hold meetings for up to 15 ttendees. GoToMeeting Corporte orgnizers my hold meetings for up to 25 ttendees. GoToMeeting orgnizers

More information

Graphs on Logarithmic and Semilogarithmic Paper

Graphs on Logarithmic and Semilogarithmic Paper 0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl

More information

McAfee Network Security Platform

McAfee Network Security Platform XC-240 Lod Blner Appline Quik Strt Guide Revision D MAfee Network Seurity Pltform This quik strt guide explins how to quikly set up nd tivte your MAfee Network Seurity Pltform XC-240 Lod Blner. The SFP+

More information

Density Curve. Continuous Distributions. Continuous Distribution. Density Curve. Meaning of Area Under Curve. Meaning of Area Under Curve

Density Curve. Continuous Distributions. Continuous Distribution. Density Curve. Meaning of Area Under Curve. Meaning of Area Under Curve Continuous Distributions Rndom Vribles of the Continuous Tye Density Curve Perent Density funtion f () f() A smooth urve tht fit the distribution 6 7 9 Test sores Density Curve Perent Probbility Density

More information

The remaining two sides of the right triangle are called the legs of the right triangle.

The remaining two sides of the right triangle are called the legs of the right triangle. 10 MODULE 6. RADICAL EXPRESSIONS 6 Pythgoren Theorem The Pythgoren Theorem An ngle tht mesures 90 degrees is lled right ngle. If one of the ngles of tringle is right ngle, then the tringle is lled right

More information

Reasoning to Solve Equations and Inequalities

Reasoning to Solve Equations and Inequalities Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing

More information

Food Chemistry 120 (2010) 426 432. Contents lists available at ScienceDirect. Food Chemistry. journal homepage: www.elsevier.com/locate/foodchem

Food Chemistry 120 (2010) 426 432. Contents lists available at ScienceDirect. Food Chemistry. journal homepage: www.elsevier.com/locate/foodchem Food Chemistry () 6 Contents lists ville t SieneDiret Food Chemistry journl homepge: www.elsevier.om/lote/foodhem Effet of proessing on the qulity of edile rgn oil Bertrnd Mtthäus, *, Dominique Guillume,

More information

Answer, Key Homework 10 David McIntyre 1

Answer, Key Homework 10 David McIntyre 1 Answer, Key Homework 10 Dvid McIntyre 1 This print-out should hve 22 questions, check tht it is complete. Multiple-choice questions my continue on the next column or pge: find ll choices efore mking your

More information

Welch Allyn CardioPerfect Workstation Installation Guide

Welch Allyn CardioPerfect Workstation Installation Guide Welch Allyn CrdioPerfect Worksttion Instlltion Guide INSTALLING CARDIOPERFECT WORKSTATION SOFTWARE & ACCESSORIES ON A SINGLE PC For softwre version 1.6.5 or lter For network instlltion, plese refer to

More information

Lesson 2.1 Inductive Reasoning

Lesson 2.1 Inductive Reasoning Lesson.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, 1, 16,,. 400, 00, 100, 0,,,. 1 8, 7, 1, 4,, 4.,,, 1, 1, 0,,. 60, 180, 10,

More information

control policies to be declared over by associating security

control policies to be declared over by associating security Seure XML Querying with Seurity Views Wenfei Fn University of Edinurgh & Bell Lortories wenfei@infeduk Chee-Yong Chn Ntionl University of Singpore hny@ompnusedusg Minos Groflkis Bell Lortories minos@reserhell-lsom

More information

7 mm Diameter Miniature Cermet Trimmer

7 mm Diameter Miniature Cermet Trimmer 7 mm Dimeter Miniture Cermet Trimmer A dust seled plsti se proteting qulity ermet trk gurntees high performne nd proven reliility. Adjustments re mde esier y the ler sle redings. is idelly suited to ll

More information

Section 5-4 Trigonometric Functions

Section 5-4 Trigonometric Functions 5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form

More information

Rate and Activation Energy of the Iodination of Acetone

Rate and Activation Energy of the Iodination of Acetone nd Activtion Energ of the Iodintion of Acetone rl N. eer Dte of Eperiment: //00 Florence F. Ls (prtner) Abstrct: The rte, rte lw nd ctivtion energ of the iodintion of cetone re detered b observing the

More information

A.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324

A.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324 A P P E N D I X A Vectors CONTENTS A.1 Scling vector................................................ 321 A.2 Unit or Direction vectors...................................... 321 A.3 Vector ddition.................................................

More information

Triblock and Pentablock Terpolymers by Sequential Base- Assisted Living Cationic Copolymerization of Functionalized Vinyl Ethers

Triblock and Pentablock Terpolymers by Sequential Base- Assisted Living Cationic Copolymerization of Functionalized Vinyl Ethers Eletroni Supplementry Mteril (ESI) for Polymer Chemistry. This journl is The Royl Soiety of Chemistry 215 Supporting Informtion Trilok nd Pentlok Terpolymers y Sequentil Bse- Assisted Living Ctioni Copolymeriztion

More information

SPH simulation of fluid-structure interaction problems

SPH simulation of fluid-structure interaction problems Diprtimento di ingegneri idrulic e mientle SPH simultion of fluid-structure interction prolems C. Antoci, M. Gllti, S. Siill Reserch project Prolem: deformtion of plte due to the ction of fluid (lrge displcement

More information

CS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001

CS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001 CS99S Lortory 2 Preprtion Copyright W. J. Dlly 2 Octoer, 2 Ojectives:. Understnd the principle of sttic CMOS gte circuits 2. Build simple logic gtes from MOS trnsistors 3. Evlute these gtes to oserve logic

More information

Review guide for the final exam in Math 233

Review guide for the final exam in Math 233 Review guide for the finl exm in Mth 33 1 Bsic mteril. This review includes the reminder of the mteril for mth 33. The finl exm will be cumultive exm with mny of the problems coming from the mteril covered

More information

Helicopter Theme and Variations

Helicopter Theme and Variations Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the

More information

Fundamentals of Cellular Networks

Fundamentals of Cellular Networks Fundmentls of ellulr Networks Dvid Tipper Assoite Professor Grdute Progrm in Teleommunitions nd Networking University of Pittsburgh Slides 4 Telom 2720 ellulr onept Proposed by ell Lbs 97 Geogrphi Servie

More information

Effects of overnutrition and undernutrition on in vitro fertilization (IVF) and early embryonic development in sheep

Effects of overnutrition and undernutrition on in vitro fertilization (IVF) and early embryonic development in sheep Effets of overnutrition nd undernutrition on in vitro fertiliztion (IVF) nd erly emryoni development in sheep A.T. Grzul-Bilsk, E. Borowzyk, W. Arndt, J. Evoniuk, M. O Neil, J.J. Bilski, R.M. Weigl, Jmes

More information

Cell Breathing Techniques for Load Balancing in Wireless LANs

Cell Breathing Techniques for Load Balancing in Wireless LANs 1 Cell rething Tehniques for Lod lning in Wireless LANs Yigl ejerno nd Seung-Je Hn ell Lortories, Luent Tehnologies Astrt: Mximizing the network throughput while providing firness is one of the key hllenges

More information

SOLVING EQUATIONS BY FACTORING

SOLVING EQUATIONS BY FACTORING 316 (5-60) Chpter 5 Exponents nd Polynomils 5.9 SOLVING EQUATIONS BY FACTORING In this setion The Zero Ftor Property Applitions helpful hint Note tht the zero ftor property is our seond exmple of getting

More information

Fundamentals of transformer design

Fundamentals of transformer design Fundmentls of trnsformer design y H du Preez, onsultnt trnsformer is stti piee of equipment with omplited eletromgneti iruit. The eletril energy is trnsferred from one eletril iruit to nother through mgneti

More information

ORGANIZER QUICK REFERENCE GUIDE

ORGANIZER QUICK REFERENCE GUIDE NOTES ON ORGANIZING AND SCHEDULING MEETINGS Individul GoToMeeting orgnizers my hold meetings for up to 15 ttendees. GoToMeeting Corporte orgnizers my hold meetings for up to 25 ttendees. GoToMeeting orgnizers

More information

HW 9. Problem 14.5. a. To Find:

HW 9. Problem 14.5. a. To Find: HW 9 Problem 14.5. To Find: ( The number-verge moleulr weight (b The weight-verge moleulr weight ( The degree of polymeriztion for the given polypropylene mteril Moleulr Weight Rnge (g/mol x i w i 8,000

More information

Quick Guide to Lisp Implementation

Quick Guide to Lisp Implementation isp Implementtion Hndout Pge 1 o 10 Quik Guide to isp Implementtion Representtion o si dt strutures isp dt strutures re lled S-epressions. The representtion o n S-epression n e roken into two piees, the

More information

REMO: Resource-Aware Application State Monitoring for Large-Scale Distributed Systems

REMO: Resource-Aware Application State Monitoring for Large-Scale Distributed Systems : Resoure-Awre Applition Stte Monitoring for Lrge-Sle Distriuted Systems Shiong Meng Srinivs R. Kshyp Chitr Venktrmni Ling Liu College of Computing, Georgi Institute of Tehnology, Atlnt, GA 332, USA {smeng,

More information

Exploring Image Virality in Google Plus

Exploring Image Virality in Google Plus Exploring Imge Virlity in Google Plus Mro Guerini Trento RISE Trento - Itly Emil: mro.guerini@trentorise.eu Jopo Stino University of Trento Trento - Itly Emil: stino@disi.unitn.it Dvide Alnese Fondzione

More information

Fluent Merging: A General Technique to Improve Reachability Heuristics and Factored Planning

Fluent Merging: A General Technique to Improve Reachability Heuristics and Factored Planning Fluent Merging: A Generl Tehnique to Improve Rehility Heuristis n Ftore Plnning Menkes vn en Briel Deprtment of Inustril Engineering Arizon Stte University Tempe AZ, 85287-8809 menkes@su.eu Suro Kmhmpti

More information

Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding

Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding 1 Exmple A rectngulr box without lid is to be mde from squre crdbord of sides 18 cm by cutting equl squres from ech corner nd then folding up the sides. 1 Exmple A rectngulr box without lid is to be mde

More information

Application of high-speed line scan camera for acoustic measurements of vibrating objects

Application of high-speed line scan camera for acoustic measurements of vibrating objects Applition of high-speed line sn mer for ousti mesurements of virting ojets Mirko Mustonen, Dmitri Krtofelev, Antoli Stulov Lortory of Nonliner Dynmis, Institute of Cyernetis t Tllinn University of Tehnology,

More information

SE3BB4: Software Design III Concurrent System Design. Sample Solutions to Assignment 1

SE3BB4: Software Design III Concurrent System Design. Sample Solutions to Assignment 1 SE3BB4: Softwre Design III Conurrent System Design Winter 2011 Smple Solutions to Assignment 1 Eh question is worth 10pts. Totl of this ssignment is 70pts. Eh ssignment is worth 9%. If you think your solution

More information