Air Cooled After-Cooler Application Request:

Size: px
Start display at page:

Download "Air Cooled After-Cooler Application Request:"

Transcription

1 wsit : gnrl mil : sls@ihti.om thnil mil : nginring@ihti.om Air Cool Aftr-Coolr Applition Rqust: For ACA Sris Emil form to: sls@ihti.om or nginring@ihti.om or fx to Contt Nm Tlphon Dt Compny Nm Emil Arss: Fx Hot Si Col Si Air / Gs Typ Amint Air Dnsity l/ft Altitu If vill: Visosity Thrml Conutivity P Btu/hr.ft. F Spifi Ht Btu/l. F 1. Flow Rt 1. Inlt Prssur 2. Tmprtur In 2. Allowl Prssur Drop. Dsir Tmprtur Out ASME Co n Crtifi Ys No 4. Ht Lo To proprly siz th ht xhngr w n of th 4 prmtrs on th Hot Si. Cint Mtril: Tuing Mtril: Motor Stnr : Stl Stnr : Coppr Hz: 2/4 Volt, Phs Options: Glvniz Stl Stinlss Stl Options: Stinlss Stl 9/1 Coppr Nikl 115/2 Volt, 1 Phs Volt, Phs Coting Stnr Enml Gry Pint Options: Epoxy Pint Fins Stnr Aluminum Options: Coppr Optionl Coting: Hrsit 5Hz 2/4 Volt, Phs 11/22 Volt, 1 Phs Pnumti Motor Commnt: Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om 229

2 ACA SERIES AIR COOLED AFTERCOOLERS For Comprss Gs or Vpor Low prssur rop vill. Stnr ports NPT, optionl ANSI flng. Oprting tmprtur of F & prssur of PSI. Cn uilt to ASME Co n Crtifi s n option Computr gnrt t sht vill for ny pplition Custom signs to fit your ns. Cools: Air, Comprssors, Blowrs, Stm vpors, Pnumti systms, Vpor rovry systms t... 2 Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om

3 ACA Sris onstrution Air oolrs r n ssntil prt of ny omprss ir systm, y ooling th ir, n onnsing wtr vpor into liqui stt for rmovl. Whn ir is omprss, th omprssion inus ht into oth th ir n th wtr ntrin in th ir. Th Amrin Inustril ACA sris ht xhngr ools ir with ir, mking it simpl inxpnsiv wy to ool whn ompr to othr wtr-ool or rfrigrnt ool systms. Th uniqu ompt srvil or sign provis ffiint ooling n low mintnn unr th wrmst nvironmntl onitions. By using n ACA sris ir-ool ftr oolr, mhin tools will riv oolr ryr ir, provi longr troul fr lif, xprin lss own tim, n ost fftiv to oprt on ontinuous sis. Srvil Cor Constrution SERVICEABLE CORE Cor ovrs isssml for sy ss n lning. Rpirl sign for pplitions tht rquir limit own tim or in th vnt of mishp rquiring rpir. Rollr xpn tu to tu-sht joint. 1% mhnil on. Positiv gskt sl is fil rpll for fil mintnn or rpir. SUPERIOR COOLING FINS Coppr tus r mhnilly on to highly ffiint luminum ooling fins. Di-form fin ollrs provi url prision fit for mximum ht trnsfr. Custom fin sign fors ir to om turulnt n rry ht wy mor ffiintly thn ol flt fin signs. Stnr Constrution Mtrils Stnr Unit Rtings Tus Fins Cint & Pips Fn Gur Mnifols Coppr Aluminum Stl Zin Plt Stl Stl Oprting Prssur Oprting Tmprtur psig o F Consult ftory for optionl mtrils n rtings. Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om 21

4 ACA Sris sltion Comprss Air Normlly ir omprssors hv irflow rts s upon th horspowr. Rotry Srw omprssors normlly ishrg ir t 18 o f - 2 o f, prior to ftr-ooling. Riproting omprssors normlly ishrg ir t 25 o f o f, prior to ftr-ooling. Comprssors r rt in CFM or ui ft pr minut of fr ir t inlt onitions. For prtil purpos w will us s lvl t 68 o f n 6% rltiv humiity s norm. Altitu, iffring mint onitions with rspt to tmprtur n humiity will ll fft ht xhngr prformn to gr. Moistur ontnt in ir tully inrss th Btu/hr lo rquirmnt for ooling ir y ing n itionl onnsing lo to th gs lo rquirmnt. As ir rpily ools, moistur in th omprss ir strm will onns n sprt into roplts, th mor humiity prsnt th mor onnstion will our. Sizing Th prformn urvs provi r for ir. Howvr, gss othr thn ir my ppli to this oolr with rspt to omptiility y pplying orrtion ftor. Pls tk tim to hk th oprting spifitions thoroughly for mtril omptiility, prssur, n siz for pplying n Amrin Inustril ht xhngr into your systm. Trms Approh Tmprtur is th sir outlt tmprtur of th omprss gs minus th inlt mint ir tmprtur of th xtrnl ir flowing ovr th oil. SCFM (Stnr Cui Ft pr Minut) A ui foot of ir t 68 o f, psi, & 6% rltiv humiity, pr minut. CFM (Cui Ft pr Minut) Air t inlt tmosphri onitions. ACFM (Atul Cui Ft pr Minut) Air t urrnt prssur, tmprtur, & humiity onitions without rfrn to stnr. To Dtrmin th Ht Lo If th ht lo (Btu/hr) is unknown vlu n lult s upon systm oprtionl rquirmnts. To proprly lult th ht lo (Btu/hr) to rjt, svrl itms must known with rtinty (s low). Flow rt SCFM (stnr ui ft pr minut) Typ of gs n its mkup. Systm inlt prssur to th ht xhngr. Amint tmprtur whr th ht xhngr will lot (hotst onition). Tmprtur of th gs t th ht xhngr inlt. Tmprtur of th gs sir t ht xhngr outlt. Mximum ptl prssur loss or ool gs. Using Th Chrt Amrin Inustril hs rt quik rfrn hrt for slting ACA ht xhngrs for Rotry Srw omprssors (s pg 214) [This hrt offrs si informtion s upon omprssor horspowr n vrg irflow rts. To proprly us th hrt, slt th omprssor horspowr t th lft or th ir flow rt. Nxt slt th pproh to mint tht is sir. Whr th two olumns intrst is shown th propr ACA mol numr.] (ls/u.ft.) Using Th Grphs Amrin Inustril provis prformn grphs for s of mol sltion. Th following lultion xmpls (pg 21), illustrt formuls to trmin mol sltion sizs. It shoul not tht thr r som ssumptions m whn pplying th si prinipls for lultion in th formul. Altitu, humiity, mtrils, prssurs, t... ll ontriut to th finl sltion. Contt Amrin Inustril for mor til lultion. Sltion Th sltion pross is importnt, mny onsirtions shoul m whn slting ht xhngr. On th propr Fs rquirmnt is lult, it is tim to pply th t to th grph n mk sltion. 1) Fin th Flow rt in SCFM lot t th ottom of th grph. Follow th grph lin up until it mths th lult Fs from your lultions. If th point flls just ov on of th mol grph lins, slt th nxt lrgr siz. If th point is on lin slt it s your hoi. 2) Chk rfully th prssur iffrntil. Units with oprting prssurs from 7+ psig will hv no grtr thn psi within th pulish flow rng. For lowr inlt prssur s th prssur rop urvs for mor til. ) Clult Nozzl siz using th nozzl siz lultion to vrify your sltion hs th propr port sizs for your rquir inlt prssur. Formul: Nozzl Clultion Nozzl Siz = (SCFM x 4.512) (27, x ) x 144 x 144 Exmpl: Flow rt = 2 SCFM Prssur = 15 psig Dnsity = () from Comprss Air Dnsity Grph (2 x 4.512) (27, x.14).7854 = 9" or (2" Nozzl) Comprss Air 14F All numrs in qution r onstnts xpt for SCFM n () "nsity" Inlt Prssur PSIG 2 22 Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om

5 ACA Sris sltion Exmpls: (Not: All ir flow rts must onvrt to SCFM) Applition 1 Air Rotry Srw Comprssor Dtrmin th ht lo "Q" =Btu/hr Q = [SCFM x CF x (T 1 -T 2 )] or [5 x 1.1 x 15 o ] = 41,528 Btu/hr T 1 = Inlt gs tmprtur: 2 o f T 2 = Outlt gs tmprtur: Amint + 1 o f= (95 o f) Dtrmin th Fs = Btu/hr or 41,528 = 4,15 Fs T = Amint tmprtur: 85 o f T 2 - T 1 Airflow rt: 5 SCFM PSIG = Oprting Prssur 1 psig CF = Corrtion ftor: 1.1 CF = (.75 x S x C x) or (.75 x x.25 x ) = 1.1 S = Spifi grvity with ir ing C = Spifi ht (Btu/L o f):.25 Mol Sltion - ACA-462 Applition 2 Mthn Gs Dtrmin th ht lo "Q" = Btu/hr Q = [SCFM x CF x (T 1 -T 2 )] or [5 x x 21 o ] = 149,94 Btu/hr T 1 = Inlt gs tmprtur: o f T 2 = Outlt gs tmprtur: 9 o f Dtrmin th Fs = Btu/hr or 149,94 = 4,998 Fs T = Amint tmprtur: o f T 2 - T Gs flow rt: 5 SCFM PSIG = Oprting prssur: 15 psig CF = Corrtion ftor: CF = (.75 x S x C x ) or (.75 x.55 x. x ) = S = Spifi grvity with ir ing :.55 C = Spifi ht (Btu/L o f) Mol Sltion - ACA-6421 (5 x 4.512) (27, x.5).7854 (5 x 4.512) (27, x.74).7854 x 144 x 144 = 1.46" or (" minimum nozzl) = 1.44" or (" minimum nozzl) Rfr to grph xmpl on pg 215 Rfr to grph xmpl on pg 215 Applition Low Prssur Blowr Dtrmin th ht lo "Q" = Btu/hr Q = [SCFM x CF x (T 1 -T 2 )] or [76 x 1.1 x 15 o ] = 12,882 Btu/hr T 1 = Inlt gs tmprtur: 25 o f T 2 = Outlt gs tmprtur: 1 o Rfr to grph f Dtrmin th Fs = Btu/hr or 12,882 = 1,288 Fs xmpl on pg 215 T = Amint tmprtur: 9 o f T 2 - T 1 CF = Corrtion Ftor: 1.1 PSIG = Oprting prssur: 2 psig To Convrt Airflow rt: 9 ACFM ACFM to SCFM = ACFM x (PSIG ) x 528 = 9 x 16.7 x 528 = 76 SCFM S = Spifi grvity with ir ing (T 1 + 4) x x 14.7 C = Spifi ht (Btu/l o f):.25 P = 5" wtr olumn or lss (xmpl pg. 22) Mol Sltion - ACA-2 Prssur Drop (s pg 22 for grphs) (76 x 4.512) x 144 (27, x.75).7854 = 1.76" or (" minimum nozzl) Sin gs is omprssil th nsity of th gs hngs from on tmprtur or prssur to th nxt. Whil th mss flow rt my not hng, th prssur iffrntil ross th ht xhngr will hng rmtilly from high (7-125 psig) to low (1-5 psig) prssur. A low prssur onition rquirs lrgr rrying lins to mov flow thn os th sm gs rt unr highr prssur. At lowr prssurs th iffrntil prssur ross th ht xhngr n quit high ompr to th sm flow rt t highr prssur. For tht rson it is suggst tht th prssur iffrntil grphs on pg 22 onsult prior to mking your finl sltion. Th ACA sris ht xhngr is sign to sily moifi to pt lrgr port sizs in th vnt your systm prssur rquirs lrgr nozzls. Consult our nginring prtmnt for mor xting informtion rgring prssur iffrntil issus. Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om 2

6 ACA Sris sltion ROTARY SCREW COMPRESSORS (2 O PSI & 6% rltiv humiity) Comprssor Hors Powr Avrg Air Dishrg Cui ft pr minut Mol Siz Sltion *Approh Tmprtur o F (T 2 - T ) (HP) (SCFM) 5 o F 1 o F 15 o F 2 o F 15 ACA - 2 ACA ACA ACA ACA - 2 ACA ACA ACA ACA - 62 ACA - 2 ACA ACA ACA - 62 ACA - 2 ACA - 2 ACA ACA ACA - 62 ACA - 2 ACA ACA ACA ACA - 62 ACA ACA ACA ACA - 62 ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA ACA - 62 ACA ACA ACA ACA - 62 ACA ACA ACA *Approh Tmprtur th sir outlt tmprtur of th omprss gs minus th inlt mint ir tmprtur of th xtrnl ir flowing ovr th oil. T 2 - Outlt gs tmprtur T - Amint tmprtur Exmpl of mol: Mol ACA Numr of Psss 1P = 1 pss 2P = 2 pss ACA Siz Driv Typ N = no motor 1 = singl phs = thr phs 1 = singl phs = thr phs 5 = Volt Tuing Blnk = Coppr U = 9/1 Cu Ni Conntions C = Cron Stl Blnk = NPT A = ANSI 15#RF Flng Coting Blnk = Enml (stnr) G = Glvniz (int) T = Hrsit (or) X = Epoxy (or & int) STS = Stinlss Stl Using th prformn grphs (s pg 2) Th Flow vs. Fs grph is lult s upon SCFM units. To onvrt volumtri Atul Cui Ft pr Minut (ACFM) into Stnr Cui Ft pr Minut (SCFM) s pg 21 pplition. To slt mol, lot th flow rt in SCFM lot t th ottom of th grph. Pro upwr on th grph until th SCFM flow rt intrsts with th lult Fs. Th urv losst, on or ov th intrstion point is th propr sltion. Using th on pss grph or two-pss grph pns upon prssur iffrntil, flow, n prformn rquirmnts. Th tul surf r for on or two pss units is th sm. Howvr, th irflow vloity in th tus inrss with th numr of psss giving slightly highr prssur iffrntils n ttr ooling prformn. 24 Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om

7 ACA Sris prformn ONE PASS Exmpl App. 2 (pg. 21) Fs (Btu/hr f) Flow Rt SCFM TWO PASS Fs (Btu/hr f) Exmpl App. 1 (pg. 21) Exmpl App. (pg. 21) Flow Rt SCFM Exmpl Applition # (p.5) SCFM = 76 ÐPSI rquir = 5" H2O Mol sltion = ACA Fs = Ht Lo (Btu/hr) Pross xiting tmprtur (T 2 ) Amint ir ntring th oolr (T ) from oolr Fs = 1,288 Nozzl hk (p.4) =.1 or "NPT Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om 25

8 ACA Sris imnsions E AIR FLOW Fn rottion F N Fn Di. J A D 1/2" NPT DRAIN M K L C L G B ACA through ACA AIR FLOW E Fn rottion F N Fn Di. J A D 1/2" NPT DRAIN M 26 K L L L C Mol ACA ACA ACA - 1 ACA - 41 ACA - 61 ACA - 61 ACA ACA ACA ACA ACA ACA - 61 A B C ACA - 61 through ACA - 61 D DIMENSIONS (inhs) E F NPT.. * Dimnsions r rprsnttiv of Brz or imnsions. Srvil ors r vill Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om G J G K B L M N

9 ACA Sris imnsions AIR FLOW E Fn rottion F N Fn Di. A J D M 1/2" NPT DRAIN K L C L ACA through ACA G B AIR FLOW E F Fn rottion N Fn Di. J A D M 1/2" NPT DRAIN K L L L C Mol ACA ACA ACA - 2 ACA - 42 ACA - 62 ACA - 62 ACA ACA ACA ACA ACA ACA - 62 A B C ACA - 62 through ACA - 62 D DIMENSIONS (inhs) E * Dimnsions r rprsnttiv of Brz or imnsions. Srvil ors r vill Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om F NPT.. G J G B K L M N

10 ACA Sris motor t ELECTRIC MOTOR DATA Mol Hors Powr Phs Hz Volts RPM ACA-181/2 ACA-181/2 ACA-181/2 ACA-241/2 ACA-241/2 ACA-241/2 ACA-1/2 ACA-1/2 ACA-1/2 ACA-41/2 ACA-41/2 ACA-41/2 ACA-61/2 ACA-61/2 ACA-61/2 ACA-61/2 ACA-461/2 ACA-461/2 ACA-661/2 ACA-661/2 ACA-6421/2 ACA-6421/2 ACA-6481/2 ACA-6481/2 ACA-6541/2 ACA-6541/2 ACA-61/2 ACA-61/ /2 2/4 115/2 2/4 115/2 2/4 115/2 2/4 2/4 2/4 2/4 2/4 2/4 2/4 2/4 2/4 TE: All of th ACA Sris r vill in 5hz upon rqust s spil NEMA Frm T 182T 21T 21T 21T 21T 254T 254T 2T 2T Enlosur Typ Full Lo Amprs 2.6/1. 1.4/ / /.7 / 7.8/.9 2.4/ /.9 2.4/1.2.6/1.8.6/1.8.6/ / / / / / Srvi Ftor Thrml Ovrlo ELECTRIC MOTOR TES: 1) All motors r NEMA, high ffiiny 2) Motor ltril rtings r n pproximt gui n my vry twn motor mnufturrs. Consult rtings on motor t plt prior to instlltion n oprtion. 5) Fn rottion is lokwis whn fing th motor shft. 6) Th ov motors ontin ftory lurit shil ll rings (no itionl lurition is rquir). ) Explosion proof, high tmprtur, svr uty, hmil, IEC, Cnin Stnrs Assoition, n Unrwritrs Lortory rogniz motors r vill upon rqust. 7) Arvition Inx...Totlly Enlos, Fn Cool...Explosion Proof 4) Amrin Inustril rsrvs th right to nt hngs to motor rn, typ n rtings rgring horspowr, RPM,FLA,n srvi ftor for stnr prouts without noti. All spifi rquirmnts will honor without hng. TE: Bsi ltri riv units r suppli with on of th orrsponing ov list motors. 28 Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om

11 ACA Sris motor t CLASS I,DIV.1, GROUP D or CLASS II,DIV.2, GROUP F & G LOSION PROOF MOTOR DATA Mol Hors Powr Phs Hz Volts RPM ACA-181/ /2 ACA-181/ /4 ACA-241/ /2 ACA-241/2-. 2/4 ACA-1/ /2 ACA-1/ /4 ACA-41/ /2 ACA-41/ /4 ACA-61/2-2/4 ACA-61/2-2/4 ACA-461/2-2/4 ACA-661/2-. 2/4 ACA-6421/2-5. 2/4 ACA-6481/2-5. 2/4 ACA-6541/ /4 ACA-61/2-1. 2/4 TE: All of our ACA Sris r vill in 5hz upon rqust s spil Mol ACA-181/2 ACA-241/2 ACA-1/2 ACA-41/2 ACA-61/2 ACA-61/2 ACA-461/2 ACA-661/2 ACA-6421/2 ACA-6481/2 ACA-6541/2 ACA-61/2 Air Flow CFM m /s COMMON DATA Soun Lvl 7ft Wight w/ motor w/o motor NEMA Frm T 215T 215T 254T 2T Srvil Cor Enlosur Typ TES: Full Lo Amprs 5./.7/ /.4.8/ / / / /1.4.8/1.9.8/1.9.8/ / / / / /1. Srvi Ftor = Totlly Enlos, Fn Cool Thrml Ovrlo To stimt th soun lvl t istns othr thn 7 ft (2.1 mtrs) from th oolr, 6 for h hlving of istn, or sustrt 6 for h ouling of th istn. Exmpl: Th Soun Lvl of th ACA-181/2 is 72 B t 7ft. At.5ft (7ft x.5 =.5ft) th soun lvl is 66 B (72B - 6B = 66B). At 14ft (7ft x 2 = 14ft) th soun lvl is 78B (72B + 6B = 78B). Prssur Drop Grphs (s pg 27) Eh grph rprsnts spifi prssur rop t iffring flow rts n inlt prssurs. Th four grphs for h mol sris siz rprsnts th mor populr milston prssur iffrntils ommonly ppli. To us th grphs for sltion purposs follw th stps low. 1) Lot th oprting prssur t th ottom of th sir prssur rop hrt. 2) Lot th flow rt in SCFM t th lft n of th hrt. ) Follow th "Prssur" lin vrtilly n th "Flow" lin horizontlly until thy ross, not th lotion. 4) Th urv on, or losst ov will xt or lss prssur rop thn rqust n suitl for th pplition. 5) Thr my svrl units shown ov th intrstion point, ll of whih will prou lss thn th sir prssur rop t th rquir flow. Exmpl: Applition Low Prssur Blowr Flow = 76 SCFM Oprting prssur = 2 PSIG Initil sltion from grph pg 215 = ACA-2 Dsir prssur rop = 5" H2O or lss. (USE th "Prssur Drop 5" H2" urvs pg 27) From th prssur rop grph, pg 27. Aptl hoi - ACA-2 is on th lin, ACA-242 is wll low th lin. Th ACA- 2 mts th prssur rop rquirmnt, ut xs th pity rquirmnt. Howvr, vn though th ACA-242 xs 5" of wtr prssur rop, othr onsirtions shoul m prior to sltion suh s unit physil siz, ost, vilility, n port siz. Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om 29

12 ACA Sris prssur rop grphs Flow Rt (SCFM) , 6481, 6541, , 461-1, , 241 Prssur Drop 5" H2 Flow Rt (SCFM) , g - 182, 242 f - 2, 62-42, 462 Prssur Drop 5" H2 f g Inlt Prssur (PSIG) Applition xmpl pg Inlt Prssur (PSIG) Flow Rt (SCFM) , 6481, 6541, , 461-1, , 241 Prssur Drop.5 PSI Flow Rt (SCFM) , , 462 f - 2, 62 g - 182, 242 Prssur Drop.5 PSI f g Inlt Prssur (PSIG) Inlt Prssur (PSIG) Flow Rt (SCFM) , 6481, 6541, , 461-1, , 241 Prssur Drop PSI Flow Rt (SCFM) , , 462 f - 2, 62 g - 182, 242 Prssur Drop PSI f g Inlt Prssur (PSIG) Inlt Prssur (PSIG) Flow Rt (SCFM) , 6481, 6541, , 461-1, , 241 Prssur Drop PSI Flow Rt (SCFM) , , 462 f - 2, 62 g - 182, 242 Prssur Drop PSI f g Inlt Prssur (PSIG) Inlt Prssur (PSIG) 24 Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om

13 ACA Sris instlltion & mintnn PIPING HOOK UP INLET Fn rottion INLET Fn rottion OUTLET OUTLET Connst Drin Connst Drin ONE PASS Riving: ) Inspt unit for ny shipping mg for unrting. Init ll mgs to th truking firms' livry prson n mrk it on th riving ill for pting th fright. Mk sur tht th or n fn r not mg. Rott th fn l to mk sur tht it movs frly. Th pulish wight informtion lot in this rohur is pproximt. Tru shipmnt wights r trmin t th tim of shipping n my vry. Approximt wight informtion pulish hrin is for nginring pproximtion purposs n shoul not us for xt shipping wight. Sin th wrrnty is s upon th unit t o lot on th mol intifition tg, rmovl or mnipultion of th intifition tg will voi th mnufturrs wrrnty. ) Whn hnling th ACA ht xhngr, spil r shoul tkn to voi mg to th or n fn. All units r shipp with woo skis for sy forklift hnling ) Stnr Enml Coting: Amrin Inustril provis its stnr prouts with norml s ot of oil s ir ur nml pint. Th nml pint is ppli s tmporry prottiv n sthti oting prior to shipmnt. Whil th stnr nml oting is url, Amrin Inustril os not wrrnt it s long-trm finish oting. It is strongly suggst tht mor url finl oting ppli ftr instlltion or prior to long-trm storg in orrosiv nvironmnt to ovr ny intl srths, nhn sthtis, n furthr prvnt orrosion. It is th rsponsiility of th ustomr to provi rgulr mintnn ginst hips, srths, t... n rgulr touh up mintnn must provi for long-trm nfits n orrosion prvntion. Instlltion: ) Amrin Inustril rommns tht th quipmnt suppli shoul instll y qulifi prsonl who hv soli unrstning of systm sign, prssur n tmprtur rtings, n piping ssmly. Vrify th srvi onitions of th systm prior to pplying ny ACA sris oolr. If th systm prssur or tmprtur os not fll within th prmtrs on ACA rting tg lot on th ht xhngr, ontt our ftory prior to instlltion or oprtion. ) In orr for th ht xhngr to proprly funtion, instlltion shoul m with minimum irflow ostrution istn of not lss thn twnty (2) inhs on oth fn intk n xiting si of th ht xhngr. ) Pross piping shoul s init ov with th pross flow ntring into th uppr port n xiting out th lowr port (s illustrtion). This onfigurtion will llow for onnst moistur to rin ompltly from th quipmnt. It is rommn tht n ir sprtor or utomti rip lg ppli to th outlt si of th ht xhngr to trp ny moistur tht vlops. ) Flow lin sizs shoul siz to hnl th pproprit flow to mt th systm prssur rop rquirmnts. If th nozzl siz of th ht xhngr is smllr thn th pross lin siz n inrs prssur iffrntil t th ht xhngr my our. ) ACA sris oolrs r prou with oth rz ACA-181 through ACA-462, n srvil or ACA-61 through ACA-62 styl oils. A rz onstrution oil os not llow intrnl tu ss. A srvil or will llow full ssiility to th intrnl tus for lning n mintnn. ACA sris oolrs r rt for 15 PSIG working prssur, n 4 o f working tmprtur. f) Spil Cotings: Amrin Inustril offrs s ustomr options, Air-Dry Epoxy, n Hrsit (Air-Dry Phnoli) otings t itionl ost. Amrin Inustril offrs spil otings upon rqust, howvr Amrin Inustril os not wrrnt otings to prmnnt solution for ny quipmnt ginst orrosion. It is th rsponsiility of th ustomr to provi rgulr mintnn ginst hips, srths, t... n rgulr touh up mintnn must provi for long-trm nfits n orrosion prvntion. Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om 241

14 ACA Sris instlltion & mintnn g) Eltri motors shoul onnt only to supply sour of th sm hrtristis s init on th ltri motor informtion plt. Prior to strting, vrify tht th motor n fn spin frly without ostrution. Chk rfully tht th fn turns in th orrt rottion irtion normlly ountr lokwis from th motor si (fn irtion rrow). Filur to oprt th fn in th propr irtion oul ru prformn or us srious mg to th ht xhngr or othr omponnts. Fn ls shoul rhk for tightnss ftr th first 1 hours of oprtion. Mintnn Rgulr mintnn intrvls s upon th surrouning n oprtionl onitions shoul mintin to vrify quipmnt prformn n to prvnt prmtur omponnt filur. Sin som of th omponnts suh s, motors, fns, lo ptrs, t... r not mnuftur y Amrin Inustril mintnn rquirmnts provi y th mnuftur must follow. ) Inspt th ntir ht xhngr n motor/fn ssmly for loosn olts, loos onntions, rokn omponnts, rust spots, orrosion, fin/oil logging, or xtrnl lkg. Mk immit rpirs to ll fft rs prior to rstrting n oprting th ht xhngr or its omponnts. ) Ht xhngrs oprting in oily or usty nvironmnts will oftn n to hv th oil ooling fins ln. Oily or logg fins shoul ln y rfully rushing th fins n tus with wtr or non-ggrssiv grsing gnt mixtur (Not: Clning gnts tht r not omptil with oppr, rss, luminum, stl or stinlss stl shoul not us). A omprss ir or wtr strm n us to islog irt n ln th oil furthr. Any xtrnl irt or oil on th ltri motor n fn ssmly shoul rmov. Cution: B sur to isonnt th ltri motor from its powr sour prior to oing ny mintnn. ) In most ss it is not nssry to intrnlly flush th oil. In irumstns whr th oil hs om plugg or hs sustntil uilup of mtril, flushing th oil with wtr or solvnt my on. Flushing solvnts shoul non-ggrssiv suitl for th mtrils of onstrution. Srvil Cor mols n isssml n inspt or ln if rquir. ) Most low horspowr ltri motors o not rquir ny itionl lurition. Howvr, lrgr motors must lurit with goo qulity grs s spifi y th mnuftur t lst on vry 6-9 months or s irt y th mnuftur. T.E.F.C. ir vntiltion slots shoul inspt n ln rgulrly to prvnt logging n strving th motor of ooling ir. To mintin th ltri motor proprly s th mnufturs rquirmnts n spifitions. ) Fn ls shoul ln n inspt for tightnss uring th rgulr mintnn shul whn hnling fn l r must givn to voi ning or striking ny of th ls. Fn ls r ftory ln n will not oprt proprly if mg or unln. Dmg fn ls n us xssiv virtion n svr mg to th ht xhngr or riv motor. f) ACA ht xhngr ints r onstrut using 7g. through 18g. stl tht my nt k into position if mg. Prts tht r not rpirl n purhs through Amrin Inustril. g) Coil fins tht om flttn n om k into position. This pross my rquir rmovl of th oil from th int. h) It is not visl to ttmpt rpirs to rz joints of rz onstrution oil unlss it will on y n xprt in silvr solr rzing. Brz oils r ht uniformly uring th originl mnufturing pross to prvnt wk zons from ourring. Unontroll rhting of th oil my rsult in wkning of th tu joints surrouning th rpir r. In mny instns rz units tht r rpir will not hol up s wll to th rigors of th systm s will nw oil. Amrin Inustril will not wrrnty or rsponsil for ny rpirs on y unuthoriz sours. Mnipultion in ny wy othr thn norml pplition will voi th mnufturs wrrnty. i) Units ontining Srvil Cor hv olt mnifol ovrs tht n rmov for lning or rpir purposs. Srviing Squn Amrin Inustril hs gon to grt lngths to provi omponnts tht r rpirl. If th ACA unit rquirs intrnl lning or ttntion th following stps will xplin wht must on to ss th intrnl tus. B sur to orr gskt kits or rpir prts prior to rmovl n isssmly to minimiz own tim. ) To ln th intrnl tus first rmov ll onntion pips from th unit. ) B sur th unit is rin of ll wtr t... ) Pl th ACA unit in n r tht it n ss from ll sis. ) Rmov th mnifol ovr olts n hrwr n pl thm into sur pl. ) Th mnifol ovrs r tightly omprss n my n som prying to sprt thm from th gskt, physilly rmov th ovr ssmlis from oth sis. f) Th tus r now ssil for lning. W suggst mil wtr-solul grsr us with rush. Tuing I.D. is.25 plsti ristl rush on ro will work st for lning th tus. Stl rushs shoul voi sin th stl is hrr thn th oppr tuing n my hvily sor th tus if us. g) If thr r ny lking tus you my plug thm foring soft mtl plug into th hol n tpping it tight. You my in som ss wl th lking tu shut howvr, r shoul tkn sin xssiv ht my us surrouning tu joints to loosn n lk. Rpl ny mg fn with n Amrin inustril suggst rplmnt. 242 Copyright 217 Amrin Inustril Ht Trnsfr, In. 55 Amrin Inustril Driv LCross, VA 295 tl: fx: mil: sls@ihti.om

AFTERCOOLERS. For Compressed Gas or Vapor

AFTERCOOLERS. For Compressed Gas or Vapor ACA SERIES Air Cool AFTERCOOLERS For Comprss Gas or Vapor Computr Sltion. Low prssur rop availal. Stanar ports NPT, optional ANSI flang. Oprating tmpratur of 4 F & prssur of 5PSI. Custom signs to fit your

More information

12 - M G P L Z - M9BW. Port type. Bore size ø12, ø16 20/25/32/40/50/ MPa 10 C to 60 C (With no condensation) 50 to 400 mm/s +1.

12 - M G P L Z - M9BW. Port type. Bore size ø12, ø16 20/25/32/40/50/ MPa 10 C to 60 C (With no condensation) 50 to 400 mm/s +1. ris - MP - Compt gui ylinr ø, ø, ø, ø, ø, ø, ø, ø ow to Orr Cln sris lif typ (with spilly trt sliing prts) Vuum sution typ (with spilly trt sliing prts) ir ylinr otry tutor - M P - - MW ll ushing ring

More information

Amphenol Canada Corp.

Amphenol Canada Corp. HT SINK OPTION = PIN STYL HT SINK (NIKL PLT) N LIP (H=.mm; SN HIGHT) = PIN STYL HT SINK (NIKL PLT) N LIP (H=.mm; PI HIGHT) = PIN STYL HT SINK (NIKL PLT) N LIP (H=.mm; TLL) = PIN-FIN HT SINK (NOIZ, LK)N

More information

Present state Next state Q + M N

Present state Next state Q + M N Qustion 1. An M-N lip-lop works s ollows: I MN=00, th nxt stt o th lip lop is 0. I MN=01, th nxt stt o th lip-lop is th sm s th prsnt stt I MN=10, th nxt stt o th lip-lop is th omplmnt o th prsnt stt I

More information

Module graph.py. 1 Introduction. 2 Graph basics. 3 Module graph.py. 3.1 Objects. CS 231 Naomi Nishimura

Module graph.py. 1 Introduction. 2 Graph basics. 3 Module graph.py. 3.1 Objects. CS 231 Naomi Nishimura Moul grph.py CS 231 Nomi Nishimur 1 Introution Just lik th Python list n th Python itionry provi wys of storing, ssing, n moifying t, grph n viw s wy of storing, ssing, n moifying t. Bus Python os not

More information

SEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES EZ SERVO EZSV17 WIRING DIAGRAM FOR BLDC MOTOR

SEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES EZ SERVO EZSV17 WIRING DIAGRAM FOR BLDC MOTOR 0V TO 0V SUPPLY GROUN +0V TO +0V RS85 ONVRTR 9 TO OM PORT ON P TO P OM PORT US 9600 U 8IT, NO PRITY, STOP, NO FLOW TRL. OPTO SNSOR # GROUN +0V TO +0V GROUN RS85 RS85 OPTO SNSOR # PHOTO TRNSISTOR TO OTHR

More information

C-201 Sheet Bar Measures 1 inch

C-201 Sheet Bar Measures 1 inch Janine M. lexander, P.. P.. No. 9, L 0 N. PRK RO, SUIT 0 HOLLYWOO, LORI 0 PHON: (9) - X: (9) 08- No.: 9 I ST SRIPTION Y GT VLVS SHLL RSILINT ST, MNUTUR TO MT OR X TH RQUIRMNTS O WW 09 (LTST RVISION) N

More information

CSC Design and Analysis of Algorithms. Example: Change-Making Problem

CSC Design and Analysis of Algorithms. Example: Change-Making Problem CSC 801- Dsign n Anlysis of Algorithms Ltur 11 Gry Thniqu Exmpl: Chng-Mking Prolm Givn unlimit mounts of oins of nomintions 1 > > m, giv hng for mount n with th lst numr of oins Exmpl: 1 = 25, 2 =10, =

More information

CSE 373: AVL trees. Warmup: Warmup. Interlude: Exploring the balance invariant. AVL Trees: Invariants. AVL tree invariants review

CSE 373: AVL trees. Warmup: Warmup. Interlude: Exploring the balance invariant. AVL Trees: Invariants. AVL tree invariants review rmup CSE 7: AVL trs rmup: ht is n invrint? Mihl L Friy, Jn 9, 0 ht r th AVL tr invrints, xtly? Disuss with your nighor. AVL Trs: Invrints Intrlu: Exploring th ln invrint Cor i: xtr invrint to BSTs tht

More information

SEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES A

SEE PAGE 2 FOR BRUSH MOTOR WIRING SEE PAGE 3 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES A 7V TO 0V SUPPLY +7V TO +0V RS85 ONVRTR TO P OM PORT OR US US 9600 U 8IT, NO PRITY, STOP, NO FLOW TRL. 9 TO OM PORT ON P TO OTHR Z SRVOS OR Z STPPRS OPTO SNSOR # OPTO SNSOR # PHOTO TRNSISTOR OPTO SNSOR

More information

Paths. Connectivity. Euler and Hamilton Paths. Planar graphs.

Paths. Connectivity. Euler and Hamilton Paths. Planar graphs. Pths.. Eulr n Hmilton Pths.. Pth D. A pth rom s to t is squn o gs {x 0, x 1 }, {x 1, x 2 },... {x n 1, x n }, whr x 0 = s, n x n = t. D. Th lngth o pth is th numr o gs in it. {, } {, } {, } {, } {, } {,

More information

Why the Junction Tree Algorithm? The Junction Tree Algorithm. Clique Potential Representation. Overview. Chris Williams 1.

Why the Junction Tree Algorithm? The Junction Tree Algorithm. Clique Potential Representation. Overview. Chris Williams 1. Why th Juntion Tr lgorithm? Th Juntion Tr lgorithm hris Willims 1 Shool of Informtis, Univrsity of Einurgh Otor 2009 Th JT is gnrl-purpos lgorithm for omputing (onitionl) mrginls on grphs. It os this y

More information

CSE 373: More on graphs; DFS and BFS. Michael Lee Wednesday, Feb 14, 2018

CSE 373: More on graphs; DFS and BFS. Michael Lee Wednesday, Feb 14, 2018 CSE 373: Mor on grphs; DFS n BFS Mihl L Wnsy, F 14, 2018 1 Wrmup Wrmup: Disuss with your nighor: Rmin your nighor: wht is simpl grph? Suppos w hv simpl, irt grph with x nos. Wht is th mximum numr of gs

More information

Frameset. Qty: 1. Leg Cable Qty: 1. Qty: mm Steel Washers Qty: 6. Qty: 2. #8 1" Phillips Pan Head Wood Screws. Qty: 8

Frameset. Qty: 1. Leg Cable Qty: 1. Qty: mm Steel Washers Qty: 6. Qty: 2. #8 1 Phillips Pan Head Wood Screws. Qty: 8 ssmly & Instlltion Instrutions: Ris Quit 2-g Eltri Workntr RISE-2E-3044-, RISE-2E-4674-, RISE-2E-7694- Two g Frmst, omponnts & Hrwr gs B Ft Frmst Si Brs E F G Powr Supply* H Powr Supply Brkt I g l J Swith

More information

Exam 1 Solution. CS 542 Advanced Data Structures and Algorithms 2/14/2013

Exam 1 Solution. CS 542 Advanced Data Structures and Algorithms 2/14/2013 CS Avn Dt Struturs n Algorithms Exm Solution Jon Turnr //. ( points) Suppos you r givn grph G=(V,E) with g wights w() n minimum spnning tr T o G. Now, suppos nw g {u,v} is to G. Dsri (in wors) mtho or

More information

Module 2 Motion Instructions

Module 2 Motion Instructions Moul 2 Motion Instrutions CAUTION: Bor you strt this xprimnt, unrstn tht you r xpt to ollow irtions EXPLICITLY! Tk your tim n r th irtions or h stp n or h prt o th xprimnt. You will rquir to ntr t in prtiulr

More information

135-91G00N ONE-WAY CUSTOMER UNIT FOR VAT 30GX AND Easy-aire 10GX

135-91G00N ONE-WAY CUSTOMER UNIT FOR VAT 30GX AND Easy-aire 10GX ON-WY TV SYSTM OR VT GX UNITS L92 LL -8-999-6 -GN ON-WY USTOMR UNIT OR VT 2GX ND VT 2GX " (8. mm) OLOR D MR IN N NVIRONMNTLLY ONTROLLD HOUSING DIMNSIONS IN MILLIMTRS (DIMNSIONS IN T-INHS) -9GN ON-WY USTOMR

More information

DUET WITH DIAMONDS COLOR SHIFTING BRACELET By Leslie Rogalski

DUET WITH DIAMONDS COLOR SHIFTING BRACELET By Leslie Rogalski Dut with Dimons Brlt DUET WITH DIAMONDS COLOR SHIFTING BRACELET By Lsli Roglski Photo y Anrw Wirth Supruo DUETS TM from BSmith rt olor shifting fft tht mks your work tk on lif of its own s you mov! This

More information

1 Introduction to Modulo 7 Arithmetic

1 Introduction to Modulo 7 Arithmetic 1 Introution to Moulo 7 Arithmti Bor w try our hn t solvin som hr Moulr KnKns, lt s tk los look t on moulr rithmti, mo 7 rithmti. You ll s in this sminr tht rithmti moulo prim is quit irnt rom th ons w

More information

DETAIL B DETAIL A 7 8 APPLY PRODUCT ID LABEL SB838XXXX ADJ FOUR POST RACK SQUARE HOLE RAIL B REVISION

DETAIL B DETAIL A 7 8 APPLY PRODUCT ID LABEL SB838XXXX ADJ FOUR POST RACK SQUARE HOLE RAIL B REVISION RVISION RV SRIPTION Y T HNG NO NOT OR PROUT LL JJH // LR TIL PPLY PROUT I LL TIL INSI UPPR ROSS MMR ON PR RK IS J OUR POST RK SQUR HOL RIL IS MN MS G NUT, PNL RNG 99 PPLY PROUT I LL INSI UPPR ROSS MMR

More information

# 1 ' 10 ' 100. Decimal point = 4 hundred. = 6 tens (or sixty) = 5 ones (or five) = 2 tenths. = 7 hundredths.

# 1 ' 10 ' 100. Decimal point = 4 hundred. = 6 tens (or sixty) = 5 ones (or five) = 2 tenths. = 7 hundredths. How os it work? Pl vlu o imls rprsnt prts o whol numr or ojt # 0 000 Tns o thousns # 000 # 00 Thousns Hunrs Tns Ons # 0 Diml point st iml pl: ' 0 # 0 on tnth n iml pl: ' 0 # 00 on hunrth r iml pl: ' 0

More information

12. Traffic engineering

12. Traffic engineering lt2.ppt S-38. Introution to Tltrffi Thory Spring 200 2 Topology Pths A tlommunition ntwork onsists of nos n links Lt N not th st of nos in with n Lt J not th st of nos in with j N = {,,,,} J = {,2,3,,2}

More information

Using the Printable Sticker Function. Using the Edit Screen. Computer. Tablet. ScanNCutCanvas

Using the Printable Sticker Function. Using the Edit Screen. Computer. Tablet. ScanNCutCanvas SnNCutCnvs Using th Printl Stikr Funtion On-o--kin stikrs n sily rt y using your inkjt printr n th Dirt Cut untion o th SnNCut mhin. For inormtion on si oprtions o th SnNCutCnvs, rr to th Hlp. To viw th

More information

Math 61 : Discrete Structures Final Exam Instructor: Ciprian Manolescu. You have 180 minutes.

Math 61 : Discrete Structures Final Exam Instructor: Ciprian Manolescu. You have 180 minutes. Nm: UCA ID Numr: Stion lttr: th 61 : Disrt Struturs Finl Exm Instrutor: Ciprin nolsu You hv 180 minuts. No ooks, nots or lultors r llow. Do not us your own srth ppr. 1. (2 points h) Tru/Fls: Cirl th right

More information

An undirected graph G = (V, E) V a set of vertices E a set of unordered edges (v,w) where v, w in V

An undirected graph G = (V, E) V a set of vertices E a set of unordered edges (v,w) where v, w in V Unirt Grphs An unirt grph G = (V, E) V st o vrtis E st o unorr gs (v,w) whr v, w in V USE: to mol symmtri rltionships twn ntitis vrtis v n w r jnt i thr is n g (v,w) [or (w,v)] th g (v,w) is inint upon

More information

CS September 2018

CS September 2018 Loil los Distriut Systms 06. Loil los Assin squn numrs to msss All ooprtin prosss n r on orr o vnts vs. physil los: rport tim o y Assum no ntrl tim sour Eh systm mintins its own lol lo No totl orrin o

More information

Solutions for HW11. Exercise 34. (a) Use the recurrence relation t(g) = t(g e) + t(g/e) to count the number of spanning trees of v 1

Solutions for HW11. Exercise 34. (a) Use the recurrence relation t(g) = t(g e) + t(g/e) to count the number of spanning trees of v 1 Solutions for HW Exris. () Us th rurrn rltion t(g) = t(g ) + t(g/) to ount th numr of spnning trs of v v v u u u Rmmr to kp multipl gs!! First rrw G so tht non of th gs ross: v u v Rursing on = (v, u ):

More information

Page 1. Question 19.1b Electric Charge II Question 19.2a Conductors I. ConcepTest Clicker Questions Chapter 19. Physics, 4 th Edition James S.

Page 1. Question 19.1b Electric Charge II Question 19.2a Conductors I. ConcepTest Clicker Questions Chapter 19. Physics, 4 th Edition James S. ConTst Clikr ustions Chtr 19 Physis, 4 th Eition Jms S. Wlkr ustion 19.1 Two hrg blls r rlling h othr s thy hng from th iling. Wht n you sy bout thir hrgs? Eltri Chrg I on is ositiv, th othr is ngtiv both

More information

b. How many ternary words of length 23 with eight 0 s, nine 1 s and six 2 s?

b. How many ternary words of length 23 with eight 0 s, nine 1 s and six 2 s? MATH 3012 Finl Exm, My 4, 2006, WTT Stunt Nm n ID Numr 1. All our prts o this prolm r onrn with trnry strings o lngth n, i.., wors o lngth n with lttrs rom th lpht {0, 1, 2}.. How mny trnry wors o lngth

More information

Basis of test: VDE 0660, part 500/IEC Rated peak withstand current I pk. Ip peak short-circuit current [ka] Busbar support spacing [mm]

Basis of test: VDE 0660, part 500/IEC Rated peak withstand current I pk. Ip peak short-circuit current [ka] Busbar support spacing [mm] Powr istriution Short-iruit withstn strngth to EC Short-iruit withstn strngth to EC 439-1 Typ tsting to EC 439-1 During th ours of systm typ-tsting, th following tsts wr onut on th Rittl usr systms n on

More information

(2) If we multiplied a row of B by λ, then the value is also multiplied by λ(here lambda could be 0). namely

(2) If we multiplied a row of B by λ, then the value is also multiplied by λ(here lambda could be 0). namely . DETERMINANT.. Dtrminnt. Introution:I you think row vtor o mtrix s oorint o vtors in sp, thn th gomtri mning o th rnk o th mtrix is th imnsion o th prlllppi spnn y thm. But w r not only r out th imnsion,

More information

Seven-Segment Display Driver

Seven-Segment Display Driver 7-Smnt Disply Drivr, Ron s in 7-Smnt Disply Drivr, Ron s in Prolm 62. 00 0 0 00 0000 000 00 000 0 000 00 0 00 00 0 0 0 000 00 0 00 BCD Diits in inry Dsin Drivr Loi 4 inputs, 7 outputs 7 mps, h with 6 on

More information

Designing A Concrete Arch Bridge

Designing A Concrete Arch Bridge This is th mous Shwnh ri in Switzrln, sin y Rort Millrt in 1933. It spns 37.4 mtrs (122 t) n ws sin usin th sm rphil mths tht will monstrt in this lsson. To pro with this lsson, lik on th Nxt utton hr

More information

Garnir Polynomial and their Properties

Garnir Polynomial and their Properties Univrsity of Cliforni, Dvis Dprtmnt of Mthmtis Grnir Polynomil n thir Proprtis Author: Yu Wng Suprvisor: Prof. Gorsky Eugny My 8, 07 Grnir Polynomil n thir Proprtis Yu Wng mil: uywng@uvis.u. In this ppr,

More information

Aquauno Video 6 Plus Page 1

Aquauno Video 6 Plus Page 1 Connt th timr to th tp. Aquuno Vio 6 Plus Pg 1 Usr mnul 3 lik! For Aquuno Vio 6 (p/n): 8456 For Aquuno Vio 6 Plus (p/n): 8413 Opn th timr unit y prssing th two uttons on th sis, n fit 9V lklin ttry. Whn

More information

12/3/12. Outline. Part 10. Graphs. Circuits. Euler paths/circuits. Euler s bridge problem (Bridges of Konigsberg Problem)

12/3/12. Outline. Part 10. Graphs. Circuits. Euler paths/circuits. Euler s bridge problem (Bridges of Konigsberg Problem) 12/3/12 Outlin Prt 10. Grphs CS 200 Algorithms n Dt Struturs Introution Trminology Implmnting Grphs Grph Trvrsls Topologil Sorting Shortst Pths Spnning Trs Minimum Spnning Trs Ciruits 1 Ciruits Cyl 2 Eulr

More information

EE1000 Project 4 Digital Volt Meter

EE1000 Project 4 Digital Volt Meter Ovrviw EE1000 Projt 4 Diitl Volt Mtr In this projt, w mk vi tht n msur volts in th rn o 0 to 4 Volts with on iit o ury. Th input is n nlo volt n th output is sinl 7-smnt iit tht tlls us wht tht input s

More information

5/9/13. Part 10. Graphs. Outline. Circuits. Introduction Terminology Implementing Graphs

5/9/13. Part 10. Graphs. Outline. Circuits. Introduction Terminology Implementing Graphs Prt 10. Grphs CS 200 Algorithms n Dt Struturs 1 Introution Trminology Implmnting Grphs Outlin Grph Trvrsls Topologil Sorting Shortst Pths Spnning Trs Minimum Spnning Trs Ciruits 2 Ciruits Cyl A spil yl

More information

EXAMPLE 87.5" APPROVAL SHEET APPROVED BY /150HP DUAL VFD CONTROL ASSEMBLY CUSTOMER NAME: CAL POLY SLO FINISH: F 20

EXAMPLE 87.5 APPROVAL SHEET APPROVED BY /150HP DUAL VFD CONTROL ASSEMBLY CUSTOMER NAME: CAL POLY SLO FINISH: F 20 XMPL XMPL RVISIONS ZON RV. SRIPTION T PPROV 0.00 THIS IS N PPROVL RWING OR YOUR ORR. OR MNUTURING N GIN, THIS RWING MUST SIGN N RTURN TO MOTION INUSTRIS. NY HNGS M TO THIS RWING, TR MNUTURING HS GUN WILL

More information

COMP108 Algorithmic Foundations

COMP108 Algorithmic Foundations Grdy mthods Prudn Wong http://www.s.liv..uk/~pwong/thing/omp108/01617 Coin Chng Prolm Suppos w hv 3 typs of oins 10p 0p 50p Minimum numr of oins to mk 0.8, 1.0, 1.? Grdy mthod Lrning outoms Undrstnd wht

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 Althrm LAN ptr BRP069A6 BRP069A6 Instlltion mnul Dikin Althrm LAN ptr English Tl of Contnts Tl of Contnts Th full st of ltst thnil t is vill on th Dikin xtrnt (uthntition rquir).

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 Althrm LAN ptr BRP069A6 BRP069A6 Instlltion mnul Dikin Althrm LAN ptr English Tl of Contnts Tl of Contnts Th full st of ltst thnil t is vill on th Dikin xtrnt (uthntition rquir).

More information

6. To shut down, carefully close valves C, B, and A in that order.

6. To shut down, carefully close valves C, B, and A in that order. IN-G-REG-13-31-0312-01-A* Mol 461-57S Rgultor Instlltion n Mintnn Instrutions Introution Th hrt of th Mol 461-57S is th Roll-Out Diphrgm. Th 461-57S is spring rgultor with prformn whih pproximts tht of

More information

Constructive Geometric Constraint Solving

Constructive Geometric Constraint Solving Construtiv Gomtri Constrint Solving Antoni Soto i Rir Dprtmnt Llngutgs i Sistms Inormàtis Univrsitt Politèni Ctluny Brlon, Sptmr 2002 CGCS p.1/37 Prliminris CGCS p.2/37 Gomtri onstrint prolm C 2 D L BC

More information

The University of Sydney MATH2969/2069. Graph Theory Tutorial 5 (Week 12) Solutions 2008

The University of Sydney MATH2969/2069. Graph Theory Tutorial 5 (Week 12) Solutions 2008 Th Univrsity o Syny MATH2969/2069 Grph Thory Tutoril 5 (Wk 12) Solutions 2008 1. (i) Lt G th isonnt plnr grph shown. Drw its ul G, n th ul o th ul (G ). (ii) Show tht i G is isonnt plnr grph, thn G is

More information

Register Allocation. Register Allocation. Principle Phases. Principle Phases. Example: Build. Spills 11/14/2012

Register Allocation. Register Allocation. Principle Phases. Principle Phases. Example: Build. Spills 11/14/2012 Rgistr Allotion W now r l to o rgistr llotion on our intrfrn grph. W wnt to l with two typs of onstrints: 1. Two vlus r liv t ovrlpping points (intrfrn grph) 2. A vlu must or must not in prtiulr rhitturl

More information

QUESTIONS BEGIN HERE!

QUESTIONS BEGIN HERE! Points miss: Stunt's Nm: Totl sor: /100 points Est Tnnss Stt Univrsity Dprtmnt of Computr n Informtion Sins CSCI 710 (Trnoff) Disrt Struturs TEST for Fll Smstr, 00 R this for strtin! This tst is los ook

More information

, each of which is a tree, and whose roots r 1. , respectively, are children of r. Data Structures & File Management

, each of which is a tree, and whose roots r 1. , respectively, are children of r. Data Structures & File Management nrl tr T is init st o on or mor nos suh tht thr is on sint no r, ll th root o T, n th rminin nos r prtition into n isjoint susts T, T,, T n, h o whih is tr, n whos roots r, r,, r n, rsptivly, r hilrn o

More information

CSE 373. Graphs 1: Concepts, Depth/Breadth-First Search reading: Weiss Ch. 9. slides created by Marty Stepp

CSE 373. Graphs 1: Concepts, Depth/Breadth-First Search reading: Weiss Ch. 9. slides created by Marty Stepp CSE 373 Grphs 1: Conpts, Dpth/Brth-First Srh ring: Wiss Ch. 9 slis rt y Mrty Stpp http://www.s.wshington.u/373/ Univrsity o Wshington, ll rights rsrv. 1 Wht is grph? 56 Tokyo Sttl Soul 128 16 30 181 140

More information

RIGHT HAND ROTATION POS.2 POS.1 POS.3 POS.4 STANDARD 125 LB. DISCHARGE FLANGE WITH SLOTTED HOLES 1 1/2 TABLE OF DIMENSIONS

RIGHT HAND ROTATION POS.2 POS.1 POS.3 POS.4 STANDARD 125 LB. DISCHARGE FLANGE WITH SLOTTED HOLES 1 1/2 TABLE OF DIMENSIONS H DRIP RIM HB DI ROUT HOL SRIS 0 HORIONTL-OUPLD OUTLIN DW 0 Hz Horizontal enclosure complete with common base, coupling and guard. - / FOR / BOLTS P DF OUPLIN P STNDRD LB. DISHR FLN WITH SLOTTD HOLS D

More information

RAMS C, 16 GA SLITTER 23

RAMS C, 16 GA SLITTER 23 RMS - 0-, G SLITTR N/ LLS /0/0 SSL UTION LL SRIL No. TG 0 S SHT OR UPPR SSMLY "M IN US" LL S SHT OR KGG SSMLY 0 ITM NO. PRT NUMR SRIPTION QTY. 00X/ " I X /" OR PULLY N/ L-0 V-LT K OR GRIP N/ POWR OR SL-0

More information

CS61B Lecture #33. Administrivia: Autograder will run this evening. Today s Readings: Graph Structures: DSIJ, Chapter 12

CS61B Lecture #33. Administrivia: Autograder will run this evening. Today s Readings: Graph Structures: DSIJ, Chapter 12 Aministrivi: CS61B Ltur #33 Autogrr will run this vning. Toy s Rings: Grph Struturs: DSIJ, Chptr 12 Lst moifi: W Nov 8 00:39:28 2017 CS61B: Ltur #33 1 Why Grphs? For xprssing non-hirrhilly rlt itms Exmpls:

More information

8 NOTS: TUM LOTION TUM SHT ZON 2 - RV STTUS RV SH - - 2 000F000 - WG NO. SH RV RVISION ZON RV SRIPTION T (YY-MM-) PPROV - Issued for Request For Proposal use 08//09. THIS RWING STLISHS RQUIRMNTS FOR SLI;

More information

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)}

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)} s s of s Computr Sin & Enginring 423/823 Dsign n Anlysis of Ltur 03 (Chptr 22) Stphn Sott (Apt from Vinohnrn N. Vriym) s of s s r strt t typs tht r pplil to numrous prolms Cn ptur ntitis, rltionships twn

More information

Full Review Condominium

Full Review Condominium Full Rviw Conominium I. Bsi Projt Inormtion 1 Projt Lgl Nm 2 Projt Physil Arss 3 HOA Mngmnt Arss 4 HOA Nm (i irnt rom Projt Lgl Nm) 5 HOA Tx ID # 6 HOA Mngmnt Compny Tx ID # 7 Nm o Mstr or Umrll Assoition

More information

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)}

V={A,B,C,D,E} E={ (A,D),(A,E),(B,D), (B,E),(C,D),(C,E)} Introution Computr Sin & Enginring 423/823 Dsign n Anlysis of Algorithms Ltur 03 Elmntry Grph Algorithms (Chptr 22) Stphn Sott (Apt from Vinohnrn N. Vriym) I Grphs r strt t typs tht r pplil to numrous

More information

Outline. Circuits. Euler paths/circuits 4/25/12. Part 10. Graphs. Euler s bridge problem (Bridges of Konigsberg Problem)

Outline. Circuits. Euler paths/circuits 4/25/12. Part 10. Graphs. Euler s bridge problem (Bridges of Konigsberg Problem) 4/25/12 Outlin Prt 10. Grphs CS 200 Algorithms n Dt Struturs Introution Trminology Implmnting Grphs Grph Trvrsls Topologil Sorting Shortst Pths Spnning Trs Minimum Spnning Trs Ciruits 1 2 Eulr s rig prolm

More information

WORKSHOP 6 BRIDGE TRUSS

WORKSHOP 6 BRIDGE TRUSS WORKSHOP 6 BRIDGE TRUSS WS6-2 Workshop Ojtivs Lrn to msh lin gomtry to gnrt CBAR lmnts Bom fmilir with stting up th CBAR orinttion vtor n stion proprtis Lrn to st up multipl lo ss Lrn to viw th iffrnt

More information

Teile und Zubehör - Einbauanleitung

Teile und Zubehör - Einbauanleitung Til un Zuhör - Einunlitung F 46 064 EVA BMW Zuhör-Hkflügl BMW 3r Coupé (E46/) BMW Prts n Assoris Instlltion Instrution BMW Assory rr wing BMW 3 Sris Coupé (E 46/) Instrutions montg s piès t s ssoirs BMW

More information

Graphs. CSC 1300 Discrete Structures Villanova University. Villanova CSC Dr Papalaskari

Graphs. CSC 1300 Discrete Structures Villanova University. Villanova CSC Dr Papalaskari Grphs CSC 1300 Disrt Struturs Villnov Univrsity Grphs Grphs r isrt struturs onsis?ng of vr?s n gs tht onnt ths vr?s. Grphs n us to mol: omputr systms/ntworks mthm?l rl?ons logi iruit lyout jos/prosss f

More information

Features and Application

Features and Application I--26482 ommril rsion turs n pplitions ris I turs n pplition ro-ltri onntor hs rls ommril vrsion o th I--26482 sris 1 solr onntors mployin rvolutionry insrt molin thnoloy n will ollow this rls with Q vrsion

More information

Section 3: Antiderivatives of Formulas

Section 3: Antiderivatives of Formulas Chptr Th Intgrl Appli Clculus 96 Sction : Antirivtivs of Formuls Now w cn put th is of rs n ntirivtivs togthr to gt wy of vluting finit intgrls tht is ct n oftn sy. To vlut finit intgrl f(t) t, w cn fin

More information

NMEA 2000 GATEWAY ASSEMBLY

NMEA 2000 GATEWAY ASSEMBLY Noti NOTICE Atr omplting instllti, ths instrutis shoul pl with th prout or th ownr's utur us. NOTICE This oumnt is writtn to i our lrs n ompny srvi prsnl in th propr instllti or srvi o our prouts. Prss

More information

P315/P330/P350/P365 GEAR PUMPS AND MOTORS

P315/P330/P350/P365 GEAR PUMPS AND MOTORS P///P R PUMPS N MOTORS haracteristics : High efficiency single / multiple units Wide range of displacements Optional shafts / mountings Rugged cast iron construction Motor assemblies available omplete

More information

Outline. 1 Introduction. 2 Min-Cost Spanning Trees. 4 Example

Outline. 1 Introduction. 2 Min-Cost Spanning Trees. 4 Example Outlin Computr Sin 33 Computtion o Minimum-Cost Spnnin Trs Prim's Alorithm Introution Mik Joson Dprtmnt o Computr Sin Univrsity o Clry Ltur #33 3 Alorithm Gnrl Constrution Mik Joson (Univrsity o Clry)

More information

SMARTCRAFT DEPTH TRANSDUCER WIRING CONNECTIONS

SMARTCRAFT DEPTH TRANSDUCER WIRING CONNECTIONS SMARTCRAFT DEPTH TRANSDUCER WIRING CONNECTIONS IMPORTANT: This oumnt guis our lrs, otuilrs, n ompny srvi prsonnl in th propr instlltion or srvi o our prouts. I you hv not n trin in th rommn srviing or

More information

Planar Upward Drawings

Planar Upward Drawings C.S. 252 Pro. Rorto Tmssi Computtionl Gomtry Sm. II, 1992 1993 Dt: My 3, 1993 Sri: Shmsi Moussvi Plnr Upwr Drwings 1 Thorm: G is yli i n only i it hs upwr rwing. Proo: 1. An upwr rwing is yli. Follow th

More information

Conditions for connection to the Distribution System

Conditions for connection to the Distribution System Conitions for Conntion to th Distriution Systm for Customrs lss thn 100kVA DSO 02/12/2009 Conitions for onntion to th Distriution Systm Applying to: Import Customr Conntions of Cpity of lss thn 100 kva.

More information

STRUCTURAL GENERAL NOTES

STRUCTURAL GENERAL NOTES UILIN OS: SIN LOS: RUTURL NRL NOTS NRL NOTS: US ROUP: - SSMLY USS INTN OR PRTIIPTION IN OR VIWIN OUTOOR TIVITIS PR MIIN UILIN O STION. SSONL. T UNTION O TIS ILITY IS NOT OR QUIPP OR OUPNY URIN WINTR/ TIN

More information

Outline. Computer Science 331. Computation of Min-Cost Spanning Trees. Costs of Spanning Trees in Weighted Graphs

Outline. Computer Science 331. Computation of Min-Cost Spanning Trees. Costs of Spanning Trees in Weighted Graphs Outlin Computr Sin 33 Computtion o Minimum-Cost Spnnin Trs Prim s Mik Joson Dprtmnt o Computr Sin Univrsity o Clry Ltur #34 Introution Min-Cost Spnnin Trs 3 Gnrl Constrution 4 5 Trmintion n Eiiny 6 Aitionl

More information

Push trolley capacities from 1 2 through 10 Ton Geared trolley capacities from 1 2 through 100 Ton

Push trolley capacities from 1 2 through 10 Ton Geared trolley capacities from 1 2 through 100 Ton H o i s t n T r o l l y C o m i n t i o n s Push trolly cpcitis from 2 through 0 Ton Gr trolly cpcitis from 2 through 00 Ton CB n CF hn chin hoists cn suspn from ithr PT push trollys or GT gr trollys.

More information

(PP/2-1)x S(PP) SIGNAL CONTACTS 0.50 FRONT POLARIZATION KEY SEE TABLE DIM A ( 10.00) D D

(PP/2-1)x S(PP) SIGNAL CONTACTS 0.50 FRONT POLARIZATION KEY SEE TABLE DIM A ( 10.00) D D IM #0. P[(+NN)/+] P(+NN) 0. PITH.0 PITH (/)x (NN/)x.. PITH (PP/)x (.) S[(PP/)+]... P POWR ONTTS P[(+NN)/] 0.0 RONT POLRIZTION KY S TL S SIGNL ONTTS S(PP/) IM.0 IM (.9) ROSS PS G R POSITION WHN ULL MT NOT...

More information

QUESTIONS BEGIN HERE!

QUESTIONS BEGIN HERE! Points miss: Stunt's Nm: Totl sor: /100 points Est Tnnss Stt Univrsity Dprtmnt o Computr n Inormtion Sins CSCI 2710 (Trno) Disrt Struturs TEST or Sprin Smstr, 2005 R this or strtin! This tst is los ook

More information

Graphs. Graphs. Graphs: Basic Terminology. Directed Graphs. Dr Papalaskari 1

Graphs. Graphs. Graphs: Basic Terminology. Directed Graphs. Dr Papalaskari 1 CSC 00 Disrt Struturs : Introuon to Grph Thory Grphs Grphs CSC 00 Disrt Struturs Villnov Univrsity Grphs r isrt struturs onsisng o vrs n gs tht onnt ths vrs. Grphs n us to mol: omputr systms/ntworks mthml

More information

ECE COMBINATIONAL BUILDING BLOCKS - INVEST 13 DECODERS AND ENCODERS

ECE COMBINATIONAL BUILDING BLOCKS - INVEST 13 DECODERS AND ENCODERS C 24 - COMBINATIONAL BUILDING BLOCKS - INVST 3 DCODS AND NCODS FALL 23 AP FLZ To o "wll" on this invstition you must not only t th riht nswrs ut must lso o nt, omplt n onis writups tht mk ovious wht h

More information

Section 10.4 Connectivity (up to paths and isomorphism, not including)

Section 10.4 Connectivity (up to paths and isomorphism, not including) Toy w will isuss two stions: Stion 10.3 Rprsnting Grphs n Grph Isomorphism Stion 10.4 Conntivity (up to pths n isomorphism, not inluing) 1 10.3 Rprsnting Grphs n Grph Isomorphism Whn w r working on n lgorithm

More information

DRAWING LIST GENERAL NOTES CIVIL ENGINEER AIR FORCE CENTER COVER SHEET PRE - FINAL MAY 2018 C-1 NOT FOR CONSTRUCTION

DRAWING LIST GENERAL NOTES CIVIL ENGINEER AIR FORCE CENTER COVER SHEET PRE - FINAL MAY 2018 C-1 NOT FOR CONSTRUCTION 3 4 5 6 7 8 RWING LIST GNRL NOTS NUMR 1. US THS OUMNTS IN ONUTION WITH TH STNR SIGN GUI N INTRTIV PROGRMMING WORSHT. -1-1 -2-3 -4-5 -6-7 -8 NM OVR SHT STNR SIGN MOUL PLN & XON MOUL PLN & XON MOULS & PLNS

More information

NOTE: ONLY RIGHT IDLER (CONFIGURATION A) ARM SHOWN IN VIEWS ON THIS PAGE

NOTE: ONLY RIGHT IDLER (CONFIGURATION A) ARM SHOWN IN VIEWS ON THIS PAGE 0 PP PP PP PP PP PP NOT: ONLY RIT ILR (ONIURTION ) RM SOWN IN VIWS ON TIS P ITM SRIPTION MTRIL QTY. IL RM - RIT / RIL LIN TUIN / O (0.0 WLL) ISI RT 0 ROMOLY LINR INS IL RM - LT / RIL LIN TUIN / O (0.0

More information

Graph Isomorphism. Graphs - II. Cayley s Formula. Planar Graphs. Outline. Is K 5 planar? The number of labeled trees on n nodes is n n-2

Graph Isomorphism. Graphs - II. Cayley s Formula. Planar Graphs. Outline. Is K 5 planar? The number of labeled trees on n nodes is n n-2 Grt Thortil Is In Computr Sin Vitor Amhik CS 15-251 Ltur 9 Grphs - II Crngi Mllon Univrsity Grph Isomorphism finition. Two simpl grphs G n H r isomorphi G H if thr is vrtx ijtion V H ->V G tht prsrvs jny

More information

Numbering Boundary Nodes

Numbering Boundary Nodes Numring Bounry Nos Lh MBri Empori Stt Univrsity August 10, 2001 1 Introution Th purpos of this ppr is to xplor how numring ltril rsistor ntworks ffts thir rspons mtrix, Λ. Morovr, wht n lrn from Λ out

More information

A Simple Code Generator. Code generation Algorithm. Register and Address Descriptors. Example 3/31/2008. Code Generation

A Simple Code Generator. Code generation Algorithm. Register and Address Descriptors. Example 3/31/2008. Code Generation A Simpl Co Gnrtor Co Gnrtion Chptr 8 II Gnrt o for singl si lok How to us rgistrs? In most mhin rhitturs, som or ll of th oprnsmust in rgistrs Rgistrs mk goo tmporris Hol vlus tht r omput in on si lok

More information

Compact Guide Cylinder with One-way Lock Series MLGP ø40, ø50, ø63. Prevents dropping when air supply pressure falls or residual pressure is exhausted

Compact Guide Cylinder with One-way Lock Series MLGP ø40, ø50, ø63. Prevents dropping when air supply pressure falls or residual pressure is exhausted Compct uid Cylindr with On-wy ock ris MP ø, ø, ø Prvnts dropping whn ir supply prssur flls or rsidul prssur is xhustd Cn lockd t ny position h locking position cn chngd to ccommodt n xtrnl stoppr position

More information

JEA - BARTRAM RE-PUMP FACILITY POTABLE WATER STORAGE EXPANSION STRUCTURAL STORAGE TANK PLANS

JEA - BARTRAM RE-PUMP FACILITY POTABLE WATER STORAGE EXPANSION STRUCTURAL STORAGE TANK PLANS 2 4 6 7 8 9 0 2 L L L WLL MNWY (2) LOTIONS T/SL L. 4.44' T/SL L..82' ROO UR W/ IRLSS OVR OR UTUR N INSTLLTION, LOTIONS SLOP SL PR TNK MNU OOTIN RQUIRMNTS THIKN SL UNR UTUR URTIN WLL,. 4 R40'-0" PRST OVRLOW

More information

Model S Regulator

Model S Regulator Snsus Mtring Systms RM-1331 R9 T H E G A S I N D U S T R Y Instlltion n Mintnn Instrutions Instlltion n Mintnn Instrutions Introution Th hrt of th Mol 461-57S is th Roll-Out Diphrgm. Th 461-57S is spring

More information

Weighted graphs -- reminder. Data Structures LECTURE 15. Shortest paths algorithms. Example: weighted graph. Two basic properties of shortest paths

Weighted graphs -- reminder. Data Structures LECTURE 15. Shortest paths algorithms. Example: weighted graph. Two basic properties of shortest paths Dt Strutur LECTURE Shortt pth lgorithm Proprti of hortt pth Bllmn-For lgorithm Dijktr lgorithm Chptr in th txtook (pp ). Wight grph -- rminr A wight grph i grph in whih g hv wight (ot) w(v i, v j ) >.

More information

8-3/8" G HANDHOLE C A 1 SUCTION STEEL BASE TABLE OF DIMENSIONS

8-3/8 G HANDHOLE C A 1 SUCTION STEEL BASE TABLE OF DIMENSIONS VORTX SOLIS-NLIN WSTWTR S K OUR " N ONNTIONS OUR " I. OLS OR NOR OLTS -/" STION 0 OUTLIN RWIN TYP VTX- JO: SS-7 T VTX- VORTX (S) OR _PM T _T. T J PPX. N OVRLL L M PLN VIW PPX. P OVRLL 8-/8" P ISR OUPLIN

More information

COMPLEXITY OF COUNTING PLANAR TILINGS BY TWO BARS

COMPLEXITY OF COUNTING PLANAR TILINGS BY TWO BARS OMPLXITY O OUNTING PLNR TILINGS Y TWO RS KYL MYR strt. W show tht th prolm o trmining th numr o wys o tiling plnr igur with horizontl n vrtil r is #P-omplt. W uil o o th rsults o uquir, Nivt, Rmil, n Roson

More information

Expert System. Knowledge-Based Systems. Page 1. Development of KB Systems. Knowledge base. Expert system = Structured computer program

Expert System. Knowledge-Based Systems. Page 1. Development of KB Systems. Knowledge base. Expert system = Structured computer program Knowlg-Bs Systms Exprt Systm Anrw Kusik 2139 Smns Cntr Iow City, Iow 52242-1527 nrw-kusik@uiow.u http://www.in.uiow.u/~nkusik Tl: 319-335 5934 Fx: 319-335 5669 Knowlg s Infrn Engin Dt Exprt systm = Strutur

More information

Compression. Compression. Compression. This part of the course... Ifi, UiO Norsk Regnesentral Vårsemester 2005 Wolfgang Leister

Compression. Compression. Compression. This part of the course... Ifi, UiO Norsk Regnesentral Vårsemester 2005 Wolfgang Leister Kurs INF5080 Ifi, UiO Norsk Rgnsntrl Vårsmstr 2005 Wolfgng Listr This prt of th ours...... is hl t Ifi, UiO... (Wolfgng Listr) n t ontins mtril from Univrsity Collg Krlsruh (Ptr Ol, Clmns Knorzr) Informtion

More information

0.1. Exercise 1: the distances between four points in a graph

0.1. Exercise 1: the distances between four points in a graph Mth 707 Spring 2017 (Drij Grinrg): mitrm 3 pg 1 Mth 707 Spring 2017 (Drij Grinrg): mitrm 3 u: W, 3 My 2017, in lss or y mil (grinr@umn.u) or lss S th wsit or rlvnt mtril. Rsults provn in th nots, or in

More information

Integration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals

Integration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals Intgrtion Continud Intgrtion y Prts Solving Dinit Intgrls: Ar Undr Curv Impropr Intgrls Intgrtion y Prts Prticulrly usul whn you r trying to tk th intgrl o som unction tht is th product o n lgric prssion

More information

A Low Noise and Reliable CMOS I/O Buffer for Mixed Low Voltage Applications

A Low Noise and Reliable CMOS I/O Buffer for Mixed Low Voltage Applications Proings of th 6th WSEAS Intrntionl Confrn on Miroltronis, Nnoltronis, Optoltronis, Istnul, Turky, My 27-29, 27 32 A Low Nois n Rlil CMOS I/O Buffr for Mix Low Voltg Applitions HWANG-CHERNG CHOW n YOU-GANG

More information

Algorithmic and NP-Completeness Aspects of a Total Lict Domination Number of a Graph

Algorithmic and NP-Completeness Aspects of a Total Lict Domination Number of a Graph Intrntionl J.Mth. Comin. Vol.1(2014), 80-86 Algorithmi n NP-Compltnss Aspts of Totl Lit Domintion Numr of Grph Girish.V.R. (PES Institut of Thnology(South Cmpus), Bnglor, Krntk Stt, Ini) P.Ush (Dprtmnt

More information

CS 461, Lecture 17. Today s Outline. Example Run

CS 461, Lecture 17. Today s Outline. Example Run Prim s Algorithm CS 461, Ltur 17 Jr Si Univrsity o Nw Mxio In Prim s lgorithm, th st A mintin y th lgorithm orms singl tr. Th tr strts rom n ritrry root vrtx n grows until it spns ll th vrtis in V At h

More information

More Foundations. Undirected Graphs. Degree. A Theorem. Graphs, Products, & Relations

More Foundations. Undirected Graphs. Degree. A Theorem. Graphs, Products, & Relations Mr Funtins Grphs, Pruts, & Rltins Unirt Grphs An unirt grph is pir f 1. A st f ns 2. A st f gs (whr n g is st f tw ns*) Friy, Sptmr 2, 2011 Ring: Sipsr 0.2 ginning f 0.4; Stughtn 1.1.5 ({,,,,}, {{,}, {,},

More information

Installation manual. ROTEX LAN adapter RBRP069A61. Installation manual ROTEX LAN adapter. English

Installation manual. ROTEX LAN adapter RBRP069A61. Installation manual ROTEX LAN adapter. English Instlltion mnul ROTEX LAN ptr RBRP09A Instlltion mnul ROTEX LAN ptr English Tl of Contnts Tl of Contnts Aout th oumnttion. Aout this oumnt... Aout th prout Aout th ox. Prprtion.. 5. 5. Instlltion sit rquirmnts...

More information

CS 5500 LOBBY CASH DISPENSER STANDARD AND FULL HEIGHT - FRONT LOAD

CS 5500 LOBBY CASH DISPENSER STANDARD AND FULL HEIGHT - FRONT LOAD L6 STNR N ULL IT - RONT LO mm ( ") UL S "LL IMNSIONS N SIN RITRI PROJTION P O RONT - STNR IT S PS and OR S 00 STNR IT TILS RONT - ULL IT S PS and OR S 00 ULL IT TILS IL NO. -66 RV. RR - STNR IT RR - ULL

More information

Cycles and Simple Cycles. Paths and Simple Paths. Trees. Problem: There is No Completely Standard Terminology!

Cycles and Simple Cycles. Paths and Simple Paths. Trees. Problem: There is No Completely Standard Terminology! Outlin Computr Sin 331, Spnnin, n Surphs Mik Joson Dprtmnt o Computr Sin Univrsity o Clry Ltur #30 1 Introution 2 3 Dinition 4 Spnnin 5 6 Mik Joson (Univrsity o Clry) Computr Sin 331 Ltur #30 1 / 20 Mik

More information

Chem 104A, Fall 2016, Midterm 1 Key

Chem 104A, Fall 2016, Midterm 1 Key hm 104A, ll 2016, Mitrm 1 Ky 1) onstruct microstt tl for p 4 configurtion. Pls numrt th ms n ml for ch lctron in ch microstt in th tl. (Us th formt ml m s. Tht is spin -½ lctron in n s oritl woul writtn

More information

The Plan. Honey, I Shrunk the Data. Why Compress. Data Compression Concepts. Braille Example. Braille. x y xˆ

The Plan. Honey, I Shrunk the Data. Why Compress. Data Compression Concepts. Braille Example. Braille. x y xˆ h ln ony, hrunk th t ihr nr omputr in n nginring nivrsity of shington t omprssion onpts ossy t omprssion osslss t omprssion rfix os uffmn os th y 24 2 t omprssion onpts originl omprss o x y xˆ nor or omprss

More information