EBU KNOCKOUT COMPETITIONS

Size: px
Start display at page:

Download "EBU KNOCKOUT COMPETITIONS"

Transcription

1 EBU KNOCKOUT COMPETITIONS GENERAL REGULATIONS

2 1 INTRODUCTION Vrious regultions pply to ll English Bridge Union ompetitions tht involve mthes plyed privtely. These ompetitions omprise: The knokout stges of the Crokfords Cup nd the Crokfords Plte The Ntionl Inter-Clu Knokout nd the NICKO Plte The Huert Phillips Bowl nd the Huert Phillips Plte The Portlnd Bowl (Inter-University/College Knokout) The Gerrd Fulkner Slver (Seniors Knokout ) The Silver Plte The Online Knokout nd the Online Knokout Plte Bridge Gret Britin orgnises the Gold Cup nd issues its own regultions for it. In no irumstnes my BGB regultion e pplied to n EBU event, or the reverse. These regultions desrie rrngements leding up to mth, onditions of ply during it, nd rulings for suh mthes. There re lso speifi regultions tht relte to eh individul ompetition, nd these re found in seprte doument issued for eh ompetition. In the event of onflit etween the regultions in this doument nd those in the speifi regultions for prtiulr ompetition, those in the ltter shll previl. For some ompetitions there is n option to ply the mth online. In suh ses the Online Mth Regultions lso pply. All these regultions nd onditions re supplementry to the generl EBU regultions ontined in vrious EBU pulitions (e.g. Blue Book, White Book, Diry, Wesite), nd in some ses reple them. All the generl EBU regultions ontinue to pply unless over-ridden y more speifi regultions, or stted otherwise. EBU Knok-out ompetitions re mnged y mens of system known s EBU Knokout whih requires ptins to log into the Memers Are of the EBU wesite (ommonly known s My EBU ) to ess detils of drws nd ontt detils for opponents, nd to enter results. Any enquiries regrding these ompetitions should e ddressed to: The Competitions Deprtment The English Bridge Union Brodfields, Biester Rod, Aylesury, HP19 8AZ. Tel: E-mil: knokout@eu.o.uk Generl KO Regultions - lst updted Nov 2017

3 2 SECTION A THE DRAW AND ARRANGEMENTS PRIOR TO A MATCH 1 Drws re mde in ordne with the following prgrphs: For round during the stge (if ny) of the ompetition where the speifi regultions for the ompetition require the drw to e regionlised, s erly s prtile during the period eginning one week efore nd ending two dys fter the ply-y dte for the previous round. How erly during this period it is prtile for the drw to e mde will depend on how mny mthes from the previous round remin to e plyed nd/or the geogrphil lotion of tems involved in suh unplyed mthes. For round during the stge of the ompetition where the speifi regultions for the ompetition do not require the drw to e regionlised, s soon s prtile fter the drw for the previous round hs een mde. In exeptionl irumstnes, s soon s is prtile in the light of those irumstnes (whih my result in n erlier or lter drw thn would otherwise e expeted). 2 The drw in the erly rounds will e rrnged so s to seek to void exessive journeys for the wy tem, nd so enourge the fixing of mid-week dtes. In order to filitte this, it is essentil tht the EBU Competitions Deprtment is wre of the tem s plying venue. In the sene of this informtion the ptin s home ddress will e ssumed to e the plying venue. The home tem s venue my not e hnged fter drw hs een mde to venue signifintly less onvenient to the wy tem without the greement of the wy tem. All plying venues must e in Englnd. 3 One the drw hs een mde notifition is sent to the tem ptins on the sme dy y emil. By entering ompetition tems gree: to provide n emil ddress for use y the EBU Competitions Deprtment nd their opponents for ommunitions relting to the ompetition; nd to uthorize the EBU Competitions Deprtment to dislose suh emil ddress to the ptins of tems ginst whih they re or my e drwn. 4 As soon s they re notified tht the drw hs tken ple, the ptins should log into My EBU to sertin the identity of nd ontt detils for their opponent. At this stge they should hek tht their own ontt detils re orretly shown on the EBU Knokout system nd mke ny neessry Generl KO Regultions - lst updted Nov 2017

4 3 mendments. They should then get in touh with eh other, preferly on the sme dy nd y telephone or emil. This should led to seletion of suitle dtes eing identified, nd one of them will eventully e greed without the need for forml offer of dtes. 5 If the tem s next opponents re not shown on My EBU, normlly euse the tem is drwn ginst the winner of mth whih hs not yet een plyed, opponents ontt detils will not e shown on the EBU Knokout system. Cptins re welome to ontt the EBU Competitions Deprtment t this stge for ontt detils for oth potentil opponents. 6 If dte nnot e greed without forml offer of dtes, the privilege of offering dtes generlly rests with the wy ptin. However: If the wy ptin hs een diltory in offering dtes, nd hs filed to offer four vlid dtes within seven dys of notifition tht the drw hs een mde (e.g. if the drw is dted Thursdy the 4 th, offers should hve een mde y Thursdy the 11 th ), then the home ptin my give notie of his intention to tke over this privilege. To do so, he must formlly dvise the wy ptin of his intention (usully y telephone). Suh n intention my not susequently e withdrwn. On reeipt of suh notifition, the wy ptin then hs 24 hours in whih to provide four vlid offers. Upon expiry of this time without suh n offer hving een mde, the privilege of offering dtes is trnsferred to the home ptin. If the wy ptin exerises his right to n intermedite venue, under Regultion 12, then the home ptin my tke over the privilege of offering dtes, ut only if notie of this intention is given to the wy ptin within 48 hours of notifition y the wy ptin tht n intermedite venue is required. 7 In the unfortunte event tht diffiulty rises in greeing dte, then the following tests will e pplied to determine whether or not vlid offer hs een mde y the wy tem (or, in the prtiulr irumstnes desried in Regultion 6, y the home tem). A vlid offer onsists of t lest four dtes tht meet eh of the following requirements: All dtes must fll on or efore the dvertised ply-y dte. There must e t lest four ler dys etween the dy tht the offer is mde nd the first of the dtes offered (e.g. if the offer is mde on Mondy, then Sturdy is the erliest vlid offer). No more thn two of the dtes fll into ny one seven-dy period. Generl KO Regultions - lst updted Nov 2017

5 4 d e f At lest one weekend dte (Sturdy or Sundy) is inluded in the offer (t lest two weekend dtes for mthes of 48 ords or more), nd t lest one weekdy dte is lso inluded in ll ses. None of the dtes is inluded in ny list of put side dtes notified to the EBU Competitions Deprtment (see Regultion 8) None of the dtes is offered onditionl on strting time mterilly different from the defult strting time mentioned in Regultion 9, unless tht strting time is eptle to the ptin to whom the offer of dtes is mde. 8 Cptins hve the opportunity to put side up to four dtes on whih their tem is not ville. Suh dtes must e notified to the EBU Competitions Deprtment efore the dvertised ply-y dte for the previous round, nd preferly s soon s the result of the previous round mth is known. In the se of the first round of ompetition the dedline for notifition is the dvertised losing dte for entries to the ompetition. Suh put side dtes will e notified to opposing ptins immeditely fter the drw hs een mde nd will not then onstitute vlid offer y the wy ptin. Cptins re dvised to use this fility to put side the dtes of mjor EBU events if they will not e le to provide tem during those periods. 9 Cptins re required to onfirm strting time when greeing dte. In the sene of ny mutully greed lterntive, this will e 2.00pm in the se of Sturdy or Sundy mth (1.00pm in mth of 48 ords or more), nd 7.30pm in the se of weekdy mth, (6.00pm in mth of 48 ords or more). d A strting time is mterilly different from the defult or greed strting time if it differs y more thn n hour in either diretion in the se of weekend mth or y more thn 30 minutes in the se of weekdy mth. If tem reks n greement s to strting time y inditing tht they nnot strt until time up to 90 minutes lter thn the greed strting time, the mtter is treted s one of notified lte rrivl nd delt with under the provisions of Regultions 20-22, whih pply on the sis of the tul rrivl time of the tem. If tem reks n greement s to strting time in ny other mteril wy, the mtter is treted s if it hd roken n greement s to dte. Generl KO Regultions - lst updted Nov 2017

6 5 10 Cptins re reminded tht they should onsider split mthes in rounds of 48 ords or more (e.g. 24 ords on eh of two osions). 11 A mth tht nnot e plyed will e wrded ording to the following priniples: d If dte hs een greed, the mth will e wrded ginst the tem whih roke the greement s to dte (ut see lso Regultion 43). If no dte hs een greed, then (unless prgrph pplies) the mth will e wrded to the wy tem provided tht the wy tem ptin hs offered t lest four vlid dtes s desried in Regultion 7; filing tht, the mth will e wrded to the home tem. If the privilege of offering dtes rests with the home ptin (see Regultion 6), the mth will e wrded to the home tem provided tht the home tem ptin hs offered t lest four vlid dtes; nd filing tht, to the wy tem. The terms of this regultion will e pplied stritly. It is therefore importnt for the tem with the privilege of offering dtes to ensure tht they do in ft mke vlid offer of suffiient dtes, even if they do not expet their opponents to ept them, or else they risk the mth eing wrded ginst them. 12 The wy ptin my require the mth to e plyed t n intermedite venue if the distne etween his norml home venue nd the home tem s proposed venue is more thn 100 miles. d For the purposes of this regultion the distne etween two venues is tken to e the distne y rod, using the route likely to result in the shortest trvelling time. The expenses for the intermedite venue, nd for refreshments, shll e shred etween the two tems. The responsiility for rrnging the venue rests with the wy ptin, ut the rrngements shll e sujet to the home ptin s pprovl. The home ptin hs the option to tke over the privilege of offering dtes s desried in Regultion Should the wy tem give suffiient notie tht one or more of its memers hs speil requirements in reltion to ess, plying onditions, toilet filities or ny other mtter rising from ny disility, inluding due to llergies, the home ptin is required to provide suitle venue to ommodte them. If he is unle to do so, then the wy tem my elet to ply the mth t venue provided y nd pid for y them (whih speifilly Generl KO Regultions - lst updted Nov 2017

7 6 inludes the option to ply the mth t their own home venue). The wy ptin retins the right to offer dtes s desried in Regultion Lte mthes disrupt the ompetition. However, n extension of one week will e redily given provided tht: oth ptins sk for it efore the finl ply-y dte; they show evidene of rel diffiulty in fixing dte; nd they hve lredy greed dte within the extension period. 15 A further extension of one week my exeptionlly e grnted if oth ptins sumit their request to the EBU Competitions Deprtment in writing efore the finl ply-y dte nd the request shows good reson for the dely. Suh extension is t the solute disretion of the Chief Tournment Diretor or Deputy Chief Tournment Diretor or n offier of the Bord ting on their ehlf. 16 In the event of mth eing plyed fter the finl ply-y dte under Regultion 14 or 15, the winning ptin must ontt the tem s next round opponent within 24 hours of the mth eing plyed. SECTION B LATE ARRIVAL 17 For the purpose of these regultions: A tem hs rrived t the mth venue when t lest four memers of the tem re present, ll of whom re oth willing nd eligile to ply. One memer of tem eing present within 45 minutes of the sheduled strting time is n indition of the intention of the tem s whole to rrive, nd the tem is therefore onsidered to hve notified its lte rrivl. If oth tems re lte, the regultions pply from the time tht the first tem hs rrived (so tht, for exmple, if one tem rrives 20 minutes fter the sheduled strting time, nd the other tem one hour fter the sheduled strting time, the seond tem is onsidered to e 40 minutes lte nd the first tem is onsidered to e non-offending). 18 If tem rrives less thn 30 minutes lte, no sntion is presried y these regultions. If tem rrives t lest 30 minutes lte, its opponents hve the rights set out in Regultions Suh rights my e enfored or wived entirely t the disretion of the ptin of the non-offending tem. If Regultions (removl of ords) pply, they my e enfored in whole or in prt. A deision to enfore or wive the rights must e mde nd Generl KO Regultions - lst updted Nov 2017

8 7 ommunited to the ptin of the offending tem efore ply strts nd nnot lter e hnged. 19 The mth is wrded to the non-offending tem if: The offending tem hs not notified its lte rrivl nd is t lest 45 minutes lte; or The offending tem hs notified its lte rrivl nd is t lest one nd hlf hours lte. 20 After 30 minutes of lte rrivl (whether notified or not), the mth is shortened y removing two ords from the numer sheduled to e plyed. For eh further omplete 15-minute period y whih the offending tem is lte, two further ords re removed. The mximum numer of ords whih n e removed is eight (whih ours when tem hs notified its lte rrivl nd is etween 75 nd 90 minutes lte). 21 For eh ord removed under the provisions of Regultion 20, the nonoffending side sores 3 IMPs (100 ggregte points in the Huert Phillips Bowl nd the Huert Phillips Plte). 22 The ords to e removed when Regultion 20 pplies re those onseutively numered from ord 1. The stnzs to e plyed re s follows: Where the mth does not involve ompulsory hnge of opponents (e.g. in the Crokfords Cup or the stges of the Ntionl Inter-Clu Knokout where mthes re of 32 ords or more), short stnz is to e plyed first, in order tht the remining stnzs onsist of the numer of ords originlly sheduled. Where the mth does involve ompulsory hnge of opponents (e.g. in the Huert Phillips Bowl or the stges of the Ntionl Inter-Clu Knokout where mthes re of 24 ords), s equl numer of ords s possile should e removed from ll stnzs. If this results in one or more stnzs of unequl length, then the shorter stnz(s) is to e plyed first. SECTION C SEATING RIGHTS 23 Seting rights in hed-on mthes in ll EBU Knokout ompetitions (exept the Huert Phillips nd the stges of the Ntionl Inter-Clu Knokout where mthes re of 24 ords) operte s follows. The ptins toss oin nd the ptin who wins the toss my tke the first hoie or my pss tht hoie to his opponent. The hoies re mde in ordne with whihever of Regultions pplies, ording to the numer of stnzs to e plyed. Generl KO Regultions - lst updted Nov 2017

9 8 24 The hoies in mthes of four stnzs re s follows: 1 st hoie: the ptin selets one stnz in whih he will hve seting rights (i.e. the right to deide how to ple his own pirs fter opponents hve nominted their line-up) 2 nd hoie: the other ptin next selets two of the remining three stnzs in whih he will hve seting rights The remining stnz is then tken y the ptin who hd first hoie. 25 The hoies in mthes of five stnzs re s follows: 1 st hoie: the ptin selets two stnzs, whih my not e oth stnzs 4 & 5 (ut my e one or the other of these), in whih he will hve seting rights. The other ptin then hs seting rights in the three stnzs whih remin. 26 The hoies in mthes of six stnzs re s follows: 1 st hoie: the ptin selets two stnzs, whih my not e oth stnzs 5 & 6 (ut my e one or the other of these), in whih he will hve seting rights. 2 nd hoie: the other ptin next selets three of the remining four stnzs in whih he will hve seting rights. The remining stnz is then tken y the ptin who hd first hoie. SECTION D MISCELLANEOUS CONDITIONS 27 Tems my onsist of four, five or six plyers of whom t lest four must e nominted t the time tht the originl entry is mde. No plyer my represent more thn one tem in the sme ompetition in the sme seson. Where tem onsists of fewer thn six registered plyers, the rules (inluding time limits, where pplile) for registering further plyers re ontined in the speifi regultions for the ompetition onerned. 28 All plyers must e eligile to represent the tem t the time of entry, nd must ontinue to e eligile to represent it throughout the durtion of the ompetition. In the event of the loss of plyer due to deth, serious inpity or loss of eligiility, the tem my pply for permnent replement of tht plyer. This right extends even eyond the time t whih dditionl plyers n normlly e registered, nd if the pplition is pproved my result in the limit of six plyers per tem eing exeeded. 29 In the event tht plyer hs een registered in tem ut hs not plyed Generl KO Regultions - lst updted Nov 2017

10 9 mth for the tem in the ompetition: The plyer my e de-registered from the tem, in whih event Regultion 27 pplies s if the plyer hd never een registered memer of the tem. In the se of Plte ompetition plyer is tken not to hve plyed mth only if the plyer hs plyed mth in neither the Plte ompetition nor the prent ompetition. 30 A plyer who hs een de-registered from tem my e registered for nother tem ut only if: The tem for whih the plyer is now to e registered hs fewer thn six registered plyers; The ptins of oth tems onsent; nd The Chief Tournment Diretor or Deputy Chief Tournment Diretor, or n offier of the Bord ting on their ehlf, is stisfied tht the ddition does not mterilly strengthen the tem for whih the plyer is now to e registered. 31 Soring in ll EBU Knokout ompetitions exept the Huert Phillips Bowl nd the Huert Phillips Plte is y IMPs. Soring nd split-tie rrngements for the Huert Phillips Bowl nd the Huert Phillips Plte re ontined in the speifi regultions for those events. 32 In the event of tie in ny ompetition sored y IMPs, dditionl ords will e plyed equl to one-eighth of the originl sheduled numer of ords in the mth (rounded up to the nerest whole numer if neessry, e.g. four ords in mth of ords). This proess is to e repeted s often s my e neessry until the tie is roken. 33 There re no seting rights during tie-rek. If neessry, ptins should exhnge written delrtions of the pling of their tems. 34 The home ptin should ensure tht the venue is ville for suffiient time for the mth to e ompleted, mking dequte llowne for possile lte rrivl, soring nd refreshment reks, nd tie reks s well s norml plying time. It is reommended tht the venue should e ville, s minimum, for one hour per 8-ord stnz (or equivlent for stnzs of some other length), plus one dditionl hour. In the event tht the venue is not ville for long enough nd the mth nnot e ompleted, the ptins must report the irumstnes Generl KO Regultions - lst updted Nov 2017

11 10 within 24 hours to the EBU Competitions Deprtment, who will rrnge for ruling to e issued under Regultion The home ptin should ensure tht: The duplite ords used for the mth re orretly mrked (i.e. s to deler nd vulnerility). The rds used re in good ondition nd omply with Lw 1C (whih provides for symmetril ks) Bidding oxes nd suitle soring sttionery re ville. 36 Bords should e shuffled nd delt t the tle t the strt of eh set, lthough the ords for the whole mth my e delt t the outset if oth ptins gree. A plyer of eh side must e present t the deling of every ord. Any plyer in dout my require ord to e re-delt efore it is first plyed. Alterntively, tem ptins my gree to nother mens of ord deling (e.g. vi Duplimte mhine) sujet to stisftory seurity rrngements eing in ple. 37 Cptins my gree to permit spettors nd/or tem memers not plying in prtiulr stnz to wth. Either ptin my opt efore the strt of mth to hve losed room, whih will e speified y the ptin who orgnised the venue. Spettors nd tem memers my only wth in the open room, whih should e lrge enough to ommodte resonle numer. If no losed room hs een speified, no spettor or wthing tem memer my move etween rooms one stnz hs strted. 38 The nominted tem ptin my nominte some other memer of his tem to e ptin for prtiulr mth, whether or not he is present t nd/or plying in the mth. If tem ptin is not present t mth ut hs not nominted sustitute ptin, the tem memers present my nominte one of their numer to t s ptin for the mth. If tem ptin is lte, the other memers of the tem my nominte one of their numer to t s ptin pending his rrivl. In either event ny deisions mde y suh nominee shll e inding on the tem s if he hd een the ptin. 39 In return for not hving to trvel, the home tem is expeted to provide refreshments to oth tems. The sle on whih this is provided should tke into ount the length of the mth nd the distne trvelled y the wy tem. 40 Moile phones & other eletroni ommunition equipment should wherever possile e swithed off in the plying room. Plyers should not telephone, emil, or text from the plying room, nd should not leve the room during Generl KO Regultions - lst updted Nov 2017

12 11 stnz to do so. An exeption rises where importnt ommunitions relting to the mth re required (suh s ommuniting with plyer who hs not yet rrived, or with tournment diretor in reltion to ruling). In this event memer of the opposing tem should e present when the telephone ll or other ommunition is mde. 41 The regultions onerning smoking re s follows: Smoking within the venue my e restrited y lw. All plyers shll respet ny restritions on smoking stipulted y the ptin who orgnized the venue. Unless otherwise greed etween the ptins, ll smoking is prohiited t the plying tle throughout the mth. This inludes the use of eletroni igrettes. 42 Exept for ny ppel ginst ruling (s to whih see Setion E), ny dispute should e referred to the EBU Competitions Deprtment, who will rrnge for the mtter to e onsidered y the Chief Tournment Diretor or Deputy Chief Tournment Diretor, or n offier of the Bord ting on their ehlf, whose ruling (inluding the wrd of mth) shll e finl. The EBU Competitions Deprtment my rrnge for suh ruling to e given on its own inititive in respet of ny relevnt mtter oming to its ttention in ny mnner. 43 In exeptionl irumstnes ( fore mjeure ), ny of these regultions my e suspended either in whole or in prt, nd other rrngements put in their ple in order to ttempt to ommodte the prtiulr irumstnes. 44 Either ptin hs the right to lodge n ppel ginst ruling lredy reeived (see setion E). Sujet to this, when oth ptins hve greed the result it is finl. 45 The winning ptin must log on to My EBU within 24 hours nd enter the result into the EBU Knokout system. If, exeptionlly, this is not possile he must emil the relevnt informtion to the EBU Competitions Deprtment t Aylesury within tht time. The informtion to e provided in either se is the dte of the mth, the sore nd the numer of ords plyed y eh plyer who plyed in the mth. SECTION E RULINGS AND APPEALS This setion of the Regultions is urrently eing updted. Pending the issue of revised version, the equivlent setion of the Septemer 2016 issue of the Regultions (Regultions in tht version, heded Rulings in Mthes Plyed Privtely ) ontinues to pply. Generl KO Regultions - lst updted Nov 2017

13 12 Generl KO Regultions - lst updted Nov 2017

(1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ

(1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ Tringles nd Trigonometry Prepred y: S diyy Hendrikson Nme: Dte: Suppose we were sked to solve the following tringles: Notie tht eh tringle hs missing informtion, whih inludes side lengths nd ngles. When

More information

Patterns and Algebra

Patterns and Algebra Student Book Series D Mthletis Instnt Workooks Copyright Series D Contents Topi Ptterns nd funtions identifying nd reting ptterns skip ounting ompleting nd desriing ptterns numer ptterns in tles growing

More information

Math Circles Finite Automata Question Sheet 3 (Solutions)

Math Circles Finite Automata Question Sheet 3 (Solutions) Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how

More information

Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the world

Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the world Person Edution Limited Edinurgh Gte Hrlow Essex M20 2JE Englnd nd ssoited ompnies throughout the world Visit us on the World Wide We t: www.personed.o.uk Person Edution Limited 2014 ll rights reserved.

More information

Probability and Statistics P(A) Mathletics Instant Workbooks. Copyright

Probability and Statistics P(A) Mathletics Instant Workbooks. Copyright Proility nd Sttistis Student Book - Series K- P(A) Mthletis Instnt Workooks Copyright Student Book - Series K Contents Topis Topi - Review of simple proility Topi - Tree digrms Topi - Proility trees Topi

More information

Resistors, Current and Voltage measurements, Ohm s law, Kirchhoff s first and second law. Kirchhoff s first Objectives:

Resistors, Current and Voltage measurements, Ohm s law, Kirchhoff s first and second law. Kirchhoff s first Objectives: EE -050 Ciruit L Experiment # esistors, Current nd Voltge mesurements, Ohm s lw, Kirhhoff s first nd seond lw. Kirhhoff s first Ojetives: Slmn in Adul Aziz University Eletril Engineering Deprtment. Fmiliriztion

More information

Student Book SERIES. Patterns and Algebra. Name

Student Book SERIES. Patterns and Algebra. Name E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing

More information

SOLVING TRIANGLES USING THE SINE AND COSINE RULES

SOLVING TRIANGLES USING THE SINE AND COSINE RULES Mthemtics Revision Guides - Solving Generl Tringles - Sine nd Cosine Rules Pge 1 of 17 M.K. HOME TUITION Mthemtics Revision Guides Level: GCSE Higher Tier SOLVING TRIANGLES USING THE SINE AND COSINE RULES

More information

3/8" Square Multi-Turn Cermet Trimmer

3/8 Square Multi-Turn Cermet Trimmer Vishy Sfernie 3/8" Squre Multi-Turn Cermet Trimmer FEATURES Industril grde W t 70 C The T93 is smll size trimmer - 3/8" x 3/8" x 3/16" - nswering PC ord mounting requirements. Five versions re ville whih

More information

Section 6.1 Law of Sines. Notes. Oblique Triangles - triangles that have no right angles. A c. A is acute. A is obtuse

Section 6.1 Law of Sines. Notes. Oblique Triangles - triangles that have no right angles. A c. A is acute. A is obtuse Setion 6.1 Lw of Sines Notes. Olique Tringles - tringles tht hve no right ngles h is ute h is otuse Lw of Sines - If is tringle with sides,, nd, then sin = sin = sin or sin = sin = sin The miguous se (SS)

More information

3/8" Square Multi-Turn Cermet Trimmer

3/8 Square Multi-Turn Cermet Trimmer www.vishy.om 3/8" Squre Multi-Turn Cermet Trimmer Vishy Sfernie ermet element. FEATURES Industril grde The is smll size trimmer - 3/8" x 3/8" x 3/16" - nswering PC ord mounting requirements. Five versions

More information

SLOVAK UNIVERSITY OF TECHNOLOGY Faculty of Material Science and Technology in Trnava. ELECTRICAL ENGINEERING AND ELECTRONICS Laboratory exercises

SLOVAK UNIVERSITY OF TECHNOLOGY Faculty of Material Science and Technology in Trnava. ELECTRICAL ENGINEERING AND ELECTRONICS Laboratory exercises SLOVAK UNIVERSITY OF TECHNOLOGY Fulty of Mteril Siene nd Tehnology in Trnv ELECTRICAL ENGINEERING AND ELECTRONICS Lbortory exerises Róbert Riedlmjer TRNAVA 00 ELECTRICAL ENGINEERING AND ELECTRONICS Lbortory

More information

1/4" Multi-Turn Fully Sealed Container Cermet Trimmer

1/4 Multi-Turn Fully Sealed Container Cermet Trimmer www.vishy.om Vishy Sfernie 1/4" Multi-Turn Fully Seled Continer Cermet Trimmer Due to their squre shpe nd smll size (6.8 mm x 6.8 mm x 5 mm), the multi-turn trimmers of the series re idelly suited for

More information

Macroscopic and Microscopic Springs Procedure

Macroscopic and Microscopic Springs Procedure Mrosopi nd Mirosopi Springs Proedure OBJECTIVE Purpose In this l you will: investigte the spring-like properties of stright wire, disover the strethiness of mteril, independent of the size nd shpe of n

More information

SERVICE MANUAL 9940/20/10

SERVICE MANUAL 9940/20/10 9940/0/0 9/0/00 Tle of ontents REMOVING THE EXTERIOR PARTS... A. Light Cover... B. Bse... C. Top Cover (Flp)... 4 D. Hinge Cover... 4 E. Thred Tension Cover... 4 F. Side Enlosure... 5 G. Hndle nd Unit

More information

Notes on Spherical Triangles

Notes on Spherical Triangles Notes on Spheril Tringles In order to undertke lultions on the elestil sphere, whether for the purposes of stronomy, nvigtion or designing sundils, some understnding of spheril tringles is essentil. The

More information

Abdominal Wound Closure Forceps

Abdominal Wound Closure Forceps Inventor: Crlson, Mrk A. My 25, 2007 Adominl Wound Closure Foreps Astrt. The devie is modifition of stndrd tissue foreps for use during losure of dominl wounds mde for surgil proedure. The modifition onsists

More information

Balancing Your Life. Ideas that might help you

Balancing Your Life. Ideas that might help you Blning Your Life Ides tht might help you Pul Hoskin Summer 2007 Let s e honest if one lists off the responsiilities nd hoies tht eh of us hve nd ssigns weekly hourly time tht eh needs to e fulfilled, then

More information

1/4" Multi-Turn Fully Sealed Container Cermet Trimmer

1/4 Multi-Turn Fully Sealed Container Cermet Trimmer 1/4" Multi-Turn Fully Seled Continer Cermet Trimmer Due to their squre shpe nd smll size (6.8 mm x 6.8 mm x 5 mm), the multi-turn trimmers of the series re idelly suited for PCB use, enling high density

More information

Student Book SERIES. Fractions. Name

Student Book SERIES. Fractions. Name D Student Book Nme Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types

More information

Patterns and Relationships

Patterns and Relationships Series Techer Ptterns nd Reltionships opyright 009 3P Lerning. All rights reserved. First edition printed 009 in Austrli. A ctlogue record for this ook is ville from 3P Lerning Ltd. ISBN 978-1-91860-3-4

More information

Evaluating territories of Go positions with capturing races

Evaluating territories of Go positions with capturing races Gmes of No Chne 4 MSRI Pulitions Volume 63, 2015 Evluting territories of Go positions with pturing res TEIGO NAKAMURA In nlysing pturing res, or semeis, we hve een fousing on the method to find whih plyer

More information

For installation help please visit Please Do Not Return Product to Store!

For installation help please visit   Please Do Not Return Product to Store! Instlltion Guide Replement Sreen Housing for ndersen Luminire Retrtle Inset Sreen Door For instlltion help plese visit www.ndersenluminire.om/instll Plese Do Not Return Produt to Store PLESE ll the Storm

More information

AGA56... Analog Input Modules. Siemens Building Technologies HVAC Products

AGA56... Analog Input Modules. Siemens Building Technologies HVAC Products 7 922 nlog Input odules G56... nlog input modules for the ontrol of SQ5... ir dmper tutors y ontinuous nlog ontrol signls, suh s 4...20 m, nd ontinuous nlog position feedk signls. For supplementry Dt Sheets,

More information

Aquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;

Aquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed; Aquuno Select Pg. INSTALLATION. Attch the timer to cold wter tp, following these simple instructions. Do not instll the timer in pit or vlve ox, elow ground level or indoors. Do not use the timer with

More information

Analog Input Modules

Analog Input Modules 7 922 nlog Input odules G56... nlog input modules for the ontrol of SQ5... ir dmper tutors y ontinuous nlog ontrol signls, suh s 4...20 m, nd ontinuous nlog position feedk signls. For supplementry Dt Sheets,

More information

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center Resource Overview Quntile Mesure: Skill or Concept: 300Q Model the concept of ddition for sums to 10. (QT N 36) Model the concept of sutrction using numers less thn or equl to 10. (QT N 37) Write ddition

More information

Installation manual. Daikin Altherma LAN adapter BRP069A61 BRP069A62. Installation manual Daikin Altherma LAN adapter. English

Installation manual. Daikin Altherma LAN adapter BRP069A61 BRP069A62. Installation manual Daikin Altherma LAN adapter. English Instlltion mnul Dikin Altherm LAN dpter BRP069A6 BRP069A6 Instlltion mnul Dikin Altherm LAN dpter English Tle of ontents Tle of ontents Aout the doumenttion. Aout this doument... Aout the produt. Comptiility....

More information

GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Operation Manual. Computerized Sewing Machine

GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Operation Manual. Computerized Sewing Machine GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX Opertion Mnul Computerized Sewing Mhine Importnt Sfety Instrutions Plese red these sfety instrutions efore ttempting to use the mhine. This mhine is

More information

Discontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type)

Discontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type) ICs for Cssette, Cssette Deck ANN, ANN Puse Detection s of Rdio Cssette, Cssette Deck Overview The ANN nd the ANN re the puse detection integrted circuits which select the progrm on the cssette tpe. In

More information

McAfee Network Security Platform

McAfee Network Security Platform M-2750 Sensor Quik Strt Guide Revision B MAfee Network Seurity Pltform This Quik Strt Guide explins how to quikly set up nd tivte your MAfee Network Seurity Pltform M-2750 Sensor in in-line mode. Cling

More information

McAfee Network Security Platform

McAfee Network Security Platform M-6030 Sensor Quik Strt Guide Revision B MAfee Network Seurity Pltform This Quik Strt Guide explins how to quikly set up nd tivte your MAfee Network Seurity Pltform [formerly MAfee IntruShield ] M-6030

More information

POWER TRIM. Table of Contents. Section 5C - Dual Power Trim System

POWER TRIM. Table of Contents. Section 5C - Dual Power Trim System SERVICE MANUAL NUMBER 28 Tle of Contents POWER TRIM Setion 5C - Dul Power Trim System DUAL POWER TRIM SYSTEM Lurints / Selnts / Adhesives..... 5C-2 Importnt Informtion................ 5C-2 Testing Dul

More information

ISM-PRO SOFTWARE DIGITAL MICROSCOPE OPERATION MANUAL

ISM-PRO SOFTWARE DIGITAL MICROSCOPE OPERATION MANUAL MN-ISM-PRO-E www.insize.om ISM-PRO SOFTWARE DIGITAL MICROSCOPE OPERATION MANUAL Desription Clik Next. As the following piture: ISM-PRO softwre is for ISM-PM00SA, ISM-PM600SA, ISM- PM60L digitl mirosopes.

More information

Re: PCT Minimum Documentation: Updating of the Inventory of Patent Documents According to PCT Rule 34.1

Re: PCT Minimum Documentation: Updating of the Inventory of Patent Documents According to PCT Rule 34.1 C. SCIT 2508 00 August 10, 2000 Re: PCT Minimum Documenttion: Updting of the Inventory of Ptent Documents According to PCT Rule 34.1 Sir, Mdm, The current version of the Inventory of Ptent Documents for

More information

Defining the Rational Numbers

Defining the Rational Numbers MATH10 College Mthemtis - Slide Set 2 1. Rtionl Numers 1. Define the rtionl numers. 2. Redue rtionl numers.. Convert etween mixed numers nd improper frtions. 4. Express rtionl numers s deimls.. Express

More information

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Computerized Sewing Machine Product Code: 888-V12/V13/V15

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Computerized Sewing Machine Product Code: 888-V12/V13/V15 GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX Opertion Mnul Computerized Sewing Mhine Produt Code: 888-V12/V13/V15 Be sure to red this doument efore using the mhine. We reommend tht you keep this

More information

1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or

1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or Chpter 3 Deciml Numers Do you know wht DECIMAL is? In chpter, we delt with units, s, 0 s nd 00 s. When you tke single unit nd divide it into (or 0 or 00) its, wht we then hve re deciml frctions of whole

More information

Question Paper Wednesday 13 Thursday 14 January 2010

Question Paper Wednesday 13 Thursday 14 January 2010 KEY SKILLS INFORMATION AND COMMUNICATION TECHNOLOGY Level 3 ArtComp [KSI31] Question Pper Wenesy 13 Thursy 14 Jnury 2010 Do NOT open this Question Pper until you re tol to y the invigiltor THERE ARE THREE

More information

REVIEW QUESTIONS TOPIC 5 TRIGONOMETRY I FLUENCY

REVIEW QUESTIONS TOPIC 5 TRIGONOMETRY I FLUENCY TOPIC 5 TRIGONOMETRY I REVIEW QUESTIONS FLUENCY The most urte mesure for the length of the third side in the tringle elow is: A 4.83 m B 23.3 m C 3.94 m D 2330 mm E 4826 mm 2 Wht is the vlue of x in this

More information

ECE 274 Digital Logic Spring Digital Design. Combinational Logic Design Process and Common Combinational Components Digital Design

ECE 274 Digital Logic Spring Digital Design. Combinational Logic Design Process and Common Combinational Components Digital Design ECE 27 Digitl Logi Spring 29 Comintionl Logi Design Proess n Common Comintionl Components Digitl Design 2.7 2. Digitl Design Chpter 2: Comintionl Logi Design Slies to ompn the tetook Digitl Design, irst

More information

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12 9//2 Sequentil (2) ENGG5 st Semester, 22 Dr. Hden So Deprtment of Electricl nd Electronic Engineering http://www.eee.hku.hk/~engg5 Snchronous vs Asnchronous Sequentil Circuit This Course snchronous Sequentil

More information

Detection of Denial of Service attacks using AGURI

Detection of Denial of Service attacks using AGURI Detetion of Denil of Servie ttks using AGURI Ryo Kizki Keio Univ. kizki@sf.wide.d.jp Kenjiro Cho SonyCSL kj@sl.sony.o.jp Osmu Nkmur Keio Univ. osmu@wide.d.jp Astrt Denil of Servie ttks is divided into

More information

TRANSIENT VOLTAGE DISTRIBUTION IN TRANSFORMER WINDING (EXPERIMENTAL INVESTIGATION)

TRANSIENT VOLTAGE DISTRIBUTION IN TRANSFORMER WINDING (EXPERIMENTAL INVESTIGATION) IJRET: Interntionl Journl of Reserh in Engineering nd Tehnology ISSN: 2319-1163 TRANSIENT VOLTAGE DISTRIBUTION IN TRANSFORMER WINDING (EXPERIMENTAL INVESTIGATION) Knhn Rni 1, R. S. Goryn 2 1 M.teh Student,

More information

Technical Note 7. General Introduction. Holy Stone

Technical Note 7. General Introduction. Holy Stone Generl Introdution Tehnil Note 7 The Multilyer Cermi Chip Cpitors supplied in bulk, ssette or tped & reel pkge re idelly suitble for thik-film Hybrid iruits nd utomti surfe mounting on printed iruit bords.

More information

Series. Teacher. Numbers

Series. Teacher. Numbers Series B Techer Copyright 2009 3P Lerning. All rights reserved. First edition printed 2009 in Austrli. A ctlogue record for this book is vilble from 3P Lerning Ltd. ISBN 978-1-921860-17-1 Ownership of

More information

MODEL 351 POWERGLIDE SERIES INSTRUCTIONS FOR INSTALLING SARGENT DOOR CLOSERS WITH "H" HOLDER ARMS

MODEL 351 POWERGLIDE SERIES INSTRUCTIONS FOR INSTALLING SARGENT DOOR CLOSERS WITH H HOLDER ARMS MODEL POWERGLIDE SERIES INSTRUTIONS FOR INSTLLING SRGENT LOSERS WITH "H" HOLDER S SERIES NON SIZED DJUSTLE SIZES THRU 6 UTION: FILURE TO INSTLL OR DJUST PROPERLY MY RESULT IN INJURY OR DMGE. FOR SSISTNE,

More information

Operation Manual Sewing Machine

Operation Manual Sewing Machine Opertion Mnul Sewing Mhine Produt Code: 888-S33/S36 KNOWING YOUR SEWING MACHINE SEWING BASICS UTILITY STITCHES APPENDIX Be sure to red this doument efore using the mhine. We reommend tht you keep this

More information

Solutions to exercise 1 in ETS052 Computer Communication

Solutions to exercise 1 in ETS052 Computer Communication Solutions to exercise in TS52 Computer Communiction 23 Septemer, 23 If it occupies millisecond = 3 seconds, then second is occupied y 3 = 3 its = kps. kps If it occupies 2 microseconds = 2 6 seconds, then

More information

PORCH. Canopies and Accessories DECKING SYSTEMS. For more information. STOCKISTS For details of your nearest stockist for any product:

PORCH. Canopies and Accessories DECKING SYSTEMS. For more information. STOCKISTS For details of your nearest stockist for any product: DECKING SYSTEMS For more informtion STOCKISTS For etils of your nerest stokist for ny prout: 0 01 TECHNICAL HELPLINE For further help n vie: 0 1 INTERNET rihrurige.o.uk EMAIL info@rihrurige.o.uk Whittington

More information

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR): SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween

More information

Spiral Tilings with C-curves

Spiral Tilings with C-curves Spirl Tilings with -curves Using ombintorics to Augment Trdition hris K. Plmer 19 North Albny Avenue hicgo, Illinois, 0 chris@shdowfolds.com www.shdowfolds.com Abstrct Spirl tilings used by rtisns through

More information

Multivariable integration. Multivariable integration. Iterated integration

Multivariable integration. Multivariable integration. Iterated integration Multivrible integrtion Multivrible integrtion Integrtion is ment to nswer the question how muh, depending on the problem nd how we set up the integrl we n be finding how muh volume, how muh surfe re, how

More information

First Round Solutions Grades 4, 5, and 6

First Round Solutions Grades 4, 5, and 6 First Round Solutions Grdes 4, 5, nd 1) There re four bsic rectngles not mde up of smller ones There re three more rectngles mde up of two smller ones ech, two rectngles mde up of three smller ones ech,

More information

Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week

Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3

More information

8.1. The Sine Law. Investigate. Tools

8.1. The Sine Law. Investigate. Tools 8.1 Te Sine Lw Mimi 50 ermud Tringle ermud 1600 km Sn Jun 74 Puerto Rio Te ermud Tringle, in te nort tlnti Oen, is te lotion of severl unexplined plne nd sip disppernes. Vrious teories ve een suggested

More information

BACK DOOR GLASS REPLACEMENT HINT:

BACK DOOR GLASS REPLACEMENT HINT: WINSHIEL/WINOWGLSS/MIRROR REPLEMENT 7025 The instlltion proeures re the removl proeures in reverse orer. However, only instlltion proeures requiring itionl inormtion re inlue. 700VX01 Pino Wire lip 1.

More information

Operation Manual. Product Code 885-V51. Computerized Embroidery Machine GETTING READY EMBROIDERY APPENDIX

Operation Manual. Product Code 885-V51. Computerized Embroidery Machine GETTING READY EMBROIDERY APPENDIX Computerized Emroidery Mhine Opertion Mnul Produt Code 885-V51 GETTING READY EMBROIDERY APPENDIX Plese visit us t http://solutions.rother.om where you n get produt support nd nswers to frequently sked

More information

ITEC2620 Introduction to Data Structures

ITEC2620 Introduction to Data Structures /5/20 ITEC220 Introdution to Dt Strutures Leture 0 Gme Trees Two-Plyer Gmes Rules for gme define the sttespe Nodes re gme sttes Links re possile moves Build serh tree y rute fore Exmple I Exmple II A Our

More information

Regular languages can be expressed as regular expressions.

Regular languages can be expressed as regular expressions. Regulr lnguges cn e expressed s regulr expressions. A generl nondeterministic finite utomton (GNFA) is kind of NFA such tht: There is unique strt stte nd is unique ccept stte. Every pir of nodes re connected

More information

& Y Connected resistors, Light emitting diode.

& Y Connected resistors, Light emitting diode. & Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd

More information

The Nottingham eprints service makes this work by researchers of the University of Nottingham available open access under the following conditions.

The Nottingham eprints service makes this work by researchers of the University of Nottingham available open access under the following conditions. Remenyte-Presott, Rs nd Andrews, John (27) Prime implints for modulrised non-oherent fult trees using inry deision digrms. Interntionl Journl of Reliility nd Sfety, (4). pp. 446-464. ISSN 479-393 Aess

More information

Unilateral and equitransitive tilings by squares of four sizes

Unilateral and equitransitive tilings by squares of four sizes Also ville t http://m-journl.eu ISSN 1855-3966 (printe en.), ISSN 1855-3974 (eletroni en.) ARS MATHEMATICA CONTEMPORANEA 10 (2015) 135 167 Unilterl n equitrnsitive tilings y squres of four sizes Csey Mnn

More information

PROGRAMMING MANUAL MTMA/01 MTMV/01 FB00329-EN

PROGRAMMING MANUAL MTMA/01 MTMV/01 FB00329-EN RMMING MNUL MTM/01 MTMV/01 FB00329-EN Generl precutions Red the instructions crefully efore eginning the instlltion nd crry out the ctions s specified y the mnufcturer. The instlltion, progrmming, commissioning

More information

THIS LECTURE looks at bell ringing (the posh name is Tintinnalogia) which as. WE NORMALLY think of a bell as hanging mouth down. If we swing the bell,

THIS LECTURE looks at bell ringing (the posh name is Tintinnalogia) which as. WE NORMALLY think of a bell as hanging mouth down. If we swing the bell, 7 Bells THIS LECTURE looks t ell ringing (the posh nme is Tintinnlogi) whih s n orgnize tivity hs een roun for long time. Inee, n importnt ook y Stemn on the sujet ws pulishe in 1668 (two yers fter the

More information

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Computerized Sewing Machine

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Computerized Sewing Machine GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX Opertion Mnul Computerized Sewing Mhine Importnt Sfety Instrutions Plese red these sfety instrutions efore ttempting to use the mhine. This mhine is

More information

660 Freestyle/Style Door with Double In-Line Panels

660 Freestyle/Style Door with Double In-Line Panels 660 Freestyle/Style Door with Doule In-Line Pnels (CUH or MG) Style Series Option M Metl HK87 Slide MGNTIC PULL HNDL KIT with Mgnet Vinyl 989 MGNTIC DOOR STOP 716 HDR / SILL INSRT O V678 VINYL DOOR SL

More information

Crime Scene Documentation. Crime Scene Documentation. Taking the C.S. What should my notes include. Note Taking 9/26/2013

Crime Scene Documentation. Crime Scene Documentation. Taking the C.S. What should my notes include. Note Taking 9/26/2013 Crime Scene Documenttion Crime Scene Documenttion Most importnt step in C.S. processing Purpose: permnently record the condition of C.S. & physicl evidence Time consuming Documenter must be orgnized nd

More information

PORCH. Canopies and Accessories. For more information. STOCKISTS For details of your nearest stockist for any product:

PORCH. Canopies and Accessories. For more information. STOCKISTS For details of your nearest stockist for any product: For more informtion STOCKISTS For etils of your nerest stokist for ny prout: 0 01 TECHNICAL HELPLINE For further help n vie: 0 1 INTERNET www.rihrurige.o.uk EMAIL info@rihrurige.o.uk Whittington Ro Oswestry,

More information

Triangles and parallelograms of equal area in an ellipse

Triangles and parallelograms of equal area in an ellipse 1 Tringles nd prllelogrms of equl re in n ellipse Roert Buonpstore nd Thoms J Osler Mthemtics Deprtment RownUniversity Glssoro, NJ 0808 USA uonp0@studentsrownedu osler@rownedu Introduction In the pper

More information

Positron Emission Tomography (PET) Images

Positron Emission Tomography (PET) Images Positron Emission Tomogrphy (PET) Imges Eh set of PET imges elow ontins four imges of humn rin. The four imges show ross-setions tken t ifferent levels of the rin. Set 1 Set 4 Set 5 Set 2 Set 6 Set 3 highest

More information

* * 98/9949WDC. 1-Point Latch (LBL) 2-Point Latch includes these additional parts. Customer Service

* * 98/9949WDC. 1-Point Latch (LBL) 2-Point Latch includes these additional parts. Customer Service *24017501* 24017501 Coneled Vertil Devie for Wood Doors 98/9949WDC Instlltion Instrutions 1-Point Lth (LBL) 2-Point Lth inludes these dditionl prts NOTE: If door does not hve utout for ling inside lok

More information

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZ-KONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...

More information

GLONASS PhaseRange biases in RTK processing

GLONASS PhaseRange biases in RTK processing ASS PhseRnge ises in RTK proessing Gle Zyrynov Ashteh Workshop on GSS Bises 202 Bern Switzerlnd Jnury 8-9 202 Sope Simplified oservtion models for Simplified oservtion models for ASS FDMA speifi: lok nd

More information

Programming Guide. Neurostimulators for Chronic Pain. RestoreSensor, RestoreUltra, RestoreAdvanced, and PrimeAdvanced

Programming Guide. Neurostimulators for Chronic Pain. RestoreSensor, RestoreUltra, RestoreAdvanced, and PrimeAdvanced Progrmming Guide Neurostimultors for Chroni Pin RestoreSensor, RestoreUltr, RestoreAdvned, nd PrimeAdvned For use with SureSn MRI nd erlier non-suresn Neurostimultion Systems. Overview This guide desries

More information

Operation Manual. Read before use. Read when additional information is required. GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX

Operation Manual. Read before use. Read when additional information is required. GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX GETTING READY Red efore use. SEWING BASICS UTILITY STITCHES Red when dditionl informtion is required. APPENDIX Computerized Sewing Mhine Produt Code: 885-U24 Opertion Mnul IMPORTANT SAFETY INSTRUCTIONS

More information

Samantha s Strategies page 1 of 2

Samantha s Strategies page 1 of 2 Unit 1 Module 2 Session 3 Smnth s Strtegies pge 1 of 2 Smnth hs been working with vriety of multiplition strtegies. 1 Write n expression to desribe eh of the sttements Smnth mde. To solve 18 20, I find

More information

Applications of a New Property of Conics to Architecture: An Alternative Design Project for Rio de Janeiro Metropolitan Cathedral

Applications of a New Property of Conics to Architecture: An Alternative Design Project for Rio de Janeiro Metropolitan Cathedral Jun V. Mrtín Zorrquino Frneso Grnero odrígue José uis Cno Mrtín Applitions of New Property of Conis to Arhiteture: An Alterntive Design Projet for io de Jneiro Metropolitn Cthedrl This pper desries the

More information

RWM4400UH High Performance Hand Held Wireless Microphone System

RWM4400UH High Performance Hand Held Wireless Microphone System CH 1 CH 2 CH 3 CH 4 UHF QUAD VOLUME MAX VOLUME MAX VOLUME MAX VOLUME RWM 4400UH MIN MIN MIN CHANNEL 1 CHANNEL 2 CHANNEL 3 CHANNEL 4 RWM4400UH High Performne Hnd Held Wireless Mirophone System OWNER S MANUAL

More information

* TURNING SPACE ROLLED CURB SIDEWALK RAMP TYPE R (ROLLED SIDES) * TURNING SPACE ** RAMP

* TURNING SPACE ROLLED CURB SIDEWALK RAMP TYPE R (ROLLED SIDES) * TURNING SPACE ** RAMP * MXIMUM TURNING SPCE IS 2.0% IN ECH DIRECTION OF TRVEL. MINIMUM DIMENSIONS 5' x 5'. SEE NOTES. ** MXIMUM RMP CROSS IS 2.0%, RUNNING 5% - 7% (8.3% MXIMUM). SEE NOTES. "NON-WLKING" RE * TURNING SPCE 24"

More information

ASY P.O. BOX 729 TERRELL, TEXAS / PAGE 1 OF 13 SAM

ASY P.O. BOX 729 TERRELL, TEXAS / PAGE 1 OF 13 SAM 203 Madix Inc., ll rights reserved ommon Parts 2 MXI GRI WIRE GRI SHELF WITH (GPWGS) MXI GRI FIXTURE PNEL (GPWFP) FIXTURE PNELS RE USE S EN SUPPORT. SHELF N E USE NYWHERE. MXI GRI REINFORMENT R 3 (GPR)

More information

Double Integrals over Rectangles

Double Integrals over Rectangles Jim Lmbers MAT 8 Spring Semester 9- Leture Notes These notes orrespond to Setion. in Stewrt nd Setion 5. in Mrsden nd Tromb. Double Integrls over etngles In single-vrible lulus, the definite integrl of

More information

Geometric quantities for polar curves

Geometric quantities for polar curves Roerto s Notes on Integrl Clculus Chpter 5: Bsic pplictions of integrtion Section 10 Geometric quntities for polr curves Wht you need to know lredy: How to use integrls to compute res nd lengths of regions

More information

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES EMBROIDERY APPENDIX. Easy Thread Cassette System

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES EMBROIDERY APPENDIX. Easy Thread Cassette System SE-BrotherE_sgml.ook Pge Mondy, June 30, 003 3:44 PM GETTING READY SEWING BASICS UTILITY STITCHES EMBROIDERY APPENDIX CPS5XV[Y Esy Thred Cssette System Opertion Mnul Inluded Aessories After opening the

More information

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Computerized Sewing Machine Product Code: 888-V14

Operation Manual GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX. Computerized Sewing Machine Product Code: 888-V14 GETTING READY SEWING BASICS UTILITY STITCHES APPENDIX Be sure to red this doument efore using the mhine. We reommend tht you keep this doument nery for future referene. Opertion Mnul Computerized Sewing

More information

Module 9. DC Machines. Version 2 EE IIT, Kharagpur

Module 9. DC Machines. Version 2 EE IIT, Kharagpur Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson-40) 4 40.1 Gols

More information

COMPUTER NETWORK DESIGN Network layer protocols

COMPUTER NETWORK DESIGN Network layer protocols OMPUTER NETWORK ESIGN Network lyer protools Network lyer (lyer 3) Gruppo Reti TL nome.ognome@polito.it http://www.telemti.polito.it/ OMPUTER NETWORK ESIGN Review of network lyer protools - opyright This

More information

Fubini for continuous functions over intervals

Fubini for continuous functions over intervals Fuini for ontinuous funtions over intervls We first prove the following theorem for ontinuous funtions. Theorem. Let f(x) e ontinuous on ompt intervl =[, [,. Then [, [, [ [ f(x, y)(x, y) = f(x, y)y x =

More information

Introduction 6 Basics 8 Projects 26. Stitching terms 94. About the author 95

Introduction 6 Basics 8 Projects 26. Stitching terms 94. About the author 95 Contents Klmh Books 21027 Crossros Cirle Wukesh, Wisonsin 53186 www.klmh.om/books 2010 Lesley Weiss All rights reserve. Exept for rief exerpts for review, this ook my not e reproue in prt or in whole y

More information

Operation Manual. Sewing Machine. Product Code: 888-F42

Operation Manual. Sewing Machine. Product Code: 888-F42 Opertion Mnul Sewing Mhine Produt Code: 888-F42 Be sure to red this doument efore using the mhine. We reommend tht you keep this doument nery for future referene. INTRODUCTION INTRODUCTION Thnk you for

More information

DETAIL A SCALE 1 : 85

DETAIL A SCALE 1 : 85 ISIONS ZONE LTR. ESRIPTION TE PP - INITIL RELESE PER N NORTH.0 0 EST ISOLTE P (0" X.") 0 9 0 X FOOKE # 0 ENTER ISOLTE P (" X 9") WEST ISOLTE P (0" X.") FOOKE # 0. RWING ONTENTS SHEET : OVERLL LYOUT SHEET

More information

Computerized Embroidery and Sewing Machine. Operation Manual

Computerized Embroidery and Sewing Machine. Operation Manual GETTING READY SEWING BASICS 2 UTILITY STITCHES 3 EMBROIDERY 4 APPENDIX 5 Computerized Emroidery nd Sewing Mhine Opertion Mnul Produt Code: 885-U0/U04 Be sure to red this doument efore using the mhine.

More information

CHAPTER 2 LITERATURE STUDY

CHAPTER 2 LITERATURE STUDY CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:

More information

GEH-2024E Supersedes GEH INSTRUCTIONS MULTICONTACT AUXILARY RELAY. TYPE HFASl. www. ElectricalPartManuals. com. GENERAL fl ELECTRIC

GEH-2024E Supersedes GEH INSTRUCTIONS MULTICONTACT AUXILARY RELAY. TYPE HFASl. www. ElectricalPartManuals. com. GENERAL fl ELECTRIC INSTRUCTIONS MULTICONTACT AUXILARY RELAY TYPE HFASl GENERAL fl ELECTRIC E Supersedes 0 MULTICONTACT AUXILIARY RELAY TYPE HFASl DESCRIPTION The HFASl relys re instntneous, hinged-rmture, multi-contct, uxiliry

More information

Elettra Evolution OK! OK! b. User manual

Elettra Evolution OK! OK! b. User manual Elettr Evolution User mnul Pg. 1 INSTALLING THE SOLENOID VALVE. The progrmmle solenoi vlve is fully wtertight n will funtion even if instlle permnently uner wter t epth of up to one metre (IP68 ingress

More information

INSTALLATION & OPERATION INSTRUCTIONS LEVER HANDLE LOCKSETS.

INSTALLATION & OPERATION INSTRUCTIONS LEVER HANDLE LOCKSETS. INSTALLATION & OPERATION INSTRUCTIONS FOR LEVER HANDLE LOCKSETS 999-00333E_EN FOR BRINKS HOME SECURITY INTERIOR LOCKING & NON-LOCKING LEVER HANDLE LOCKSETS. FITS DOORS 1-3/8" (35 mm) TO 1-3/4" (45 mm)

More information

Automatic Strategy Verification for Hex

Automatic Strategy Verification for Hex utomti Strtegy Verifition for Hex Ryn B. Hywrd, Broderik rneson, nd Philip Henderson Deprtment of Computing Siene, University of lert, Edmonton, Cnd {hywrd,roderi,ph}@s.ulert. strt. We present onise nd/or-tree

More information

Proposed Cable Tables for SAS2

Proposed Cable Tables for SAS2 Tle 50 Requirements for internl le ssemlies using SASDrive onnetors n kplnes. Requirement, Units 1,5 Gps 3Gps 6 Gps Bulk le or kplne:, Differentil impene ohm 100 ± 10 100 g Common-moe impene ohm 32,5 ±

More information

(CATALYST GROUP) B"sic Electric"l Engineering

(CATALYST GROUP) Bsic Electricl Engineering (CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)

More information

ARK CHEVRON INSTALLATION GUIDE

ARK CHEVRON INSTALLATION GUIDE ARK CHEVRON INSTALLATION GUIDE THANK YOU FOR YOUR PURCHASE OF DUCHÂTEAU WALL COVERINGS. We recommend you hire n experienced finish crpenter or wood flooring instller to chieve qulity results with ll DuChâteu

More information