Introduction... 8 Tools & Materials... 9 Basics SINGLE-STITCH PROJECTS... 20

Size: px
Start display at page:

Download "Introduction... 8 Tools & Materials... 9 Basics SINGLE-STITCH PROJECTS... 20"

Transcription

1 Introution... 8 Tools & Mtrils... 9 Bsis SINGLE-STITCH PROJECTS Fir flowr Crt sprkling ntrpi with livly lyrs of lit pyot ptls Bll s prls Th Bll Époqu of th lt 19th ntury mts th 21st ntury in this ontmporry tk on fshion stnr 22 Fshion t your fingrtips Crt hi ring with prl n rystl nts Ri th wv Unulting wvs of pyot stith tuml roun stury or Zigzg sllops Frshwtr prls ngl from th points of this lvr nkl Hrringon highwy Lns of hrringon stith pv th wy for nts of prls n fir-polish s Button up styl Highlight utiful uttons in your work 33 Hrringon in hurry Work up thr-strn rlt with lrt hrringon stith Til tokn Two-hol Til s ln stility to this lit n Prtty prls Digonl right-ngl wv ligns tiny prls in nt rows, rting lgnt wr-nywhr ssoris Crystl ps Wv lovly rystl toppr for lrg prl or gmston, n thn nlos th within s g Coktil uff Wht omintion! Tk lssi prl uff n mllish it with sprkling mrgrits to rt this glmorous rlt 40 Crystl tpstry Us ion rystls to giv this pi th look of loth with sprkling florl motif Contnts 58

2 Powr trio Emllish suppl spin of ui right-ngl wv with sprkling s s 66 Crting onntions Shp rows of ui right-ngl wv with thr simpl onnting thniqus Stning ovtion Comin svrl styls to tk th gusswork out of this ring ui right-ngl wv sign Hollywoo squr Sporting ll th glmour of th goln g of Hollywoo, this ptivting uff is styl ssntil Mtlli msonry For sy shping, nothing ts rik stith Doul uty This rvrsil rlt offrs lots of options to ply with olor & pttrn 70 Hogrth rystl urv A ing fluk turn into twist of ft n supr-sprkly nkl Springy spirl ngls Bing wir lns strutur to fvorit spirl stith Russin wrproun Bugls hs spinning s ns in n sy rop thniqu Fluffy s Emllish with rings of rystls for light n iry sphr with sprkly ppl A hin runs through it Wv strns of s s n rystls through olor hin for suppl rlt 86 Enhnt gzo Mk opn-ir s with ugls, prls, n rystls for lssy, vintg look Spring fling Stith vrnl grln to wr yr-roun Cptur osmos Stith univrs t th ntr of hin-link str Elgnt ngls Brioltt ngls nstl in hin of s s rt utiful, lssi lin Clssi ontours On thr-imnsionl thniqu mks mny omponnts in this rgl nkl 91

3 Rtro isis Drling isy motifs n long ntt s Point of onntion Bion rystls ply pk--oo, ltting squr rystl omponnts tk ntr stg Spllining spngls Us moifi right-ngl wv to rt sprkling prl nsts 102 Exploring th ngls Angl s nstl togthr to mk spiky flowr shps Gift wrpp glm Wrp rystl lustrs with rions of s s n top thm off with rystl ow, rting glittring gift Show off your shps! Four fvorit shps work hrmoniously in this lgnt rlt Cus n irls Fshion n vryy rlt with simpl pttrn of shps Wrth rivolis Snwih rystl ston twn two filigr rings, n link sris of rivolis for rlt tht s littl mtl, littl mgi 126 Bugl or So oftn rlgt to ortiv fring, ugl s form th fountion of ths lgnt rrings Qun of th til A rgl ut wrl hin offrs sutl no to Monin mjsty Cirl mts squr Prls r th prft fit for ths us Filigr fnfr Rows of fns run through frmwork of filigr s Whn it rigns Jwl-ton s n mtlli nts ln th look of roylty, minus th silvr spoon 129 W v got Christms ovr Wrp up your holiy gift list with tritionl ornmnt ovrs Count your hikns Lightn up with n iry rlt n whimsil pr of poultry Bklit lights Comin mroiry with hunky vintg finings 137

4 Soutsti south! Lrn to mk sinuous shps with s n south ri, ommon lmnt in th Frnh rt of pssmntri 162 MULTIPLE-TECHNIQUE PROJECTS Hot ots uff Gt your ling on y stking two kins of squins to mk sprkling ots of olor Fshionist rings Bjwl trsurs provi instnt grtifition Nptun s grn Crt n unrwtr vision of otnil liss for your wrist Elmntry nginring Multipl omponnts work in onrt to shows n rt-glss fol 168 Vins n flowrs Comin stiths to rt fminin rlt tht pitomizs th wor prtty Disy hin Mk isy hin just lik th rl thing Vitorin hrm Drp s s pir with rmti fring mk for ol-worl hrm Go for spin Drop s ntut sulpturl spirl ntrpi Glittring glos Drm up ny olor omintion, from thrl to ol, for this lgnt ornmnt Colors in motion Crt ol yt flxil wvs of olor with vrity of right-ngl wv thniqus 186 Putting on th glitz Exprss your uniqu styl with th right omintion of ortiv nts Rvishing rostts Stith in on ontinuous pth, this wll-form nkl is must-hv Til tpstry A rissrossing pthwy of s s ly look to this stury til rlt Bjwl grln hokr Crystl stons mk pinh-m prft posis to ngl from lttiwork hokr Minight sun Cptur rystl in zl nstl in n of ntt strs 196

5 Bll of th ll Stith vrstil motif tht xus romnti sophistition Th Qutzl s til Two stiths om irs of fthr in this nkl Ehos of Nfrtiti Rgl omponnts vok visions of th pst 224 Fool for flowrs At first gln, this fthing florl uff pprs to mroiry, ut on t fool Nturl surrounings A multi-stith zl n tuulr rlt strps provi th prft nvironmnt for ston ohon Suprnov Bzl rystl stons n mllish lrs rt n xiting xplosion of work OTHER TECHNIQUES Florl unn Chin stith s s n squins into ountiful nkl 231 Byzntin ln Altrnting Byzntin links tk plin jump ring rlt to th nxt lvl Crystl-link hin mil Lightn up n rightn up hin mil rlt with Swrovski rystl links Fntsti fturs Using mix of squin olors llows th light to n ross this livly rlt Wonr womn uff Fight off vilors with ol uff m of mtl n wir Chin rtion Comin lrg- n smll-link hin in mix mtls with wir-wrpp rioltts A littl it of sprkl A smll splsh of olor with rystls n ing wir 238 Contriutors Inx

6 ODD-COUNT HERRINGBONE STITCH Zig zg sllops Choos monohromti olor pltt for sophistit look. Frshwtr prls ngl from th points of this lvr nkl sign y Shryl Yngi 37

7 f f 5 mm Til 110 ylinr, olor A 110 ylinr, olor B 150 s figur 2 mtrils grn rlt in. (16.5 m) 27 5 mm Til s (Miyuki 468, mtlli mlhit grn iris) 3 4 g 110 Jpns ylinr s in h of 2 olors: A (Miyuki 1051, mtt mtlli ronz gol iris) B (Miyuki 0128, mthyst gol iris) 2 3 g 150 s s (Miyuki 313, rnrry gol lustr) lsp 2 6 mm jump rings Firlin 6 l. tst ing nls, #11 2 pirs of plirs nxt two Bs in th lst stk ( ). Work hrringon stith using B n n A, n turn ( ). Row 7: Work hrringon stith with n A n B, pik up 150, 5 mm Til, n 150, n sw through th top B in th lst stk (figur 3, ). Work hrringon stith with B n n A, n turn ( ). Row 8: Work hrringon stith with n A n B, pik up 150, n sw through th vill hol of th Til in th prvious row. Pik up 150, n sw through th top B in th following stk ( ). Work hrringon stith with B n n A, n turn ( ). Row 9: Work hrringon stith with n A n B, n sw through th 150 in th prvious row, th sm hol of th Til, th nxt 150, n th top B in th lst stk. Work hrringon stith with B n n A, n turn ( f). figur 3 figur 4 [5] Rpt rows 7 9 to within on Til of th sir lngth. [6] To th lst Til, rpt rows 7 n 8. [7] Working in two- lr stith, pik up two As th finl stk. Th two ntr stks in this row will onnt to th prvious row whn you tth th lsp. Do not n 5 th mm Til working thr or til. n two Bs, sw through th Clsp 110 ylinr, olor A prvious B n A, n sw [1] With th working thr, through th two As n Bs 110 ylinr sw, through olor Bth work just (figur 4, ). 150 s to xit th top of th thir Pik up two Bs, n sw stk of s from th through th prvious two Bs g. Pik up svn 150s, n th Bs just ( ). skip th nxt two stks, Continu working in two n sw through th n lr stith to two four s in th following stks of As, two stks of stk. Zigzg through th Bs, n stk of As. Join prvious stks to xit th th lst two stks to th B top of th thir stk, rtr n A in th hrringon th thr pth through th stk low y following svn- loop, n n thr- lr stith th thr (Bsis). thr pth n ing [2] Opn 6 mm jump ring 150 turn ( ). (Bsis), n tth th [8] Work row of two- svn- loop to hlf lr stith following th of th lsp. stlish pttrn, tth [3] Rpt stps 1 n 2 th lst two stks s in on th rmining n of stp 7, n 150 to th rlt. mk th turn ( ) so your thr is xiting th top of gol iris rlt olors: 5 mm Til s (Miyuki 457, ronz) 110 ylinr s A (Miyuki 0133, opqu goln oliv lustr) B (Miyuki 0011, mtlli oliv) 150 s s (Miyuki 1897, opqu goln oliv lustr) ronz rlt olors: 5 mm Til s (Miyuki 2035, mtt khki iris) 110 ylinr s A (Miyuki 0024, mtlli grn) B (Miyuki 0103, trnsprnt pl r) 150 s s (Miyuki 2238, lin topz/yllow) Dsign not: For wir rlt, mk two hrringon ns. On on n, pik up 2 mm rystls or 110 s s twn th 150s long on g. Ly th son n si this g so tht th 150s strl th 2 mms or 110s. Sw through th 150s on this n n th 2 mms or 110s on th othr. 51

8 RIGHT-ANGLE WEAVE Coktil uff Wht omintion! Tk lssi prl uff n mllish it with sprkling mrgrits to rt this glmorous rlt sign y Jn Dnly Cruz Th origin of prl rlts n tr k to Chin. Toy rlts r mor populr thn vr n r njoy s wrro stpl. 58

9 CROSSWEAVE TECHNIQUE Enhnt gzo Mk opn-ir s with ugls, prls, n rystls for lssy, vintg look sign y Lur Lnrum Mk s in monohromti or omplmntry olors. 96

10 Spllining BEADWEAVING Us moifi right-ngl wv to rt sprkling prl nsts sign y Gr Nhls with stpystp Bzl prls [1] On 11 2 y. (1.4 m) of Firlin, figur 1 figur 2 figur Emllish zl prls ion rystls, fir polish onntors, filigr ps, n lrgr roun rystls, thn finish off with lngths of hin splnor. for th look of ol-worl pik up 9 mm prl n fiv 3 mm fir-polish s, lving 5-in. (13 m) til. Sw th prl through 3 mms, gin (figur 1, ). Pik up fiv n sw through th prl n th first. fiv 3 mms gin ( ) [2] Pik up 3 mm, n sw through th nxt fiv 3 mms ( ). Pik up 3 mm, n sw through th nxt 3 mm ( ) to rt ring of 12 3 mms roun th ntr prl. [3] Emllish th front of th prl: Pik up 3 mm, 2 mm roun rystl, n 3 mm, n sw through th 3 mm your thr xit t th strt of this stp n th nxt 3 mm in th originl ring (figur 2, ). [4] Pik up 3 mm n 2 mm, n sw through th first 3 mm in th prvious stith, th 3 mm your thr xit t th strt of this stith, n th following 3 mm in th originl ring ( ). Rpt this stp nin mor tims ( ), n snug up th s. [5] Sw through th jnt 3 mm in th first stith, pik up 2 mm, n sw through th 3 mm in th prvious stith ( ). [6] Emllish th k of th prl: With th thr xiting 3 mm in th originl ring, pik up 150 s, n 110 s, n 150, n sw through th 3 mm your thr xit t th strt of this stp n th nxt 3 mm in th originl ring (figur 3, ). [7] Pik up 150 n n 110, n sw through th first 150 in th prvious stith, th 3 mm your thr xit t th strt of this stp, n th nxt 3 mm in th originl ring. Rpt this stp nin tims ( ). 9 mm roun prl 4 mm ion 9 mm roun prlrystl 3 mm roun fir-polish 2 mmrystl roun rystl 4 mm ion 110 fir-polish s 3 mm roun 150 rystl s 2 mm roun 110 s 150 s

11 spngls For ugt-frinly option, sustitut fir-polish s for th prls, n us s s for th 2 mm roun rystls. Dsign not: Mk your own fny ps y using fltnos plirs to n h ptl of filigr p t 45-gr ngl. 119

12 Nptun s DIAGONAL PEYOTE STITCH / HERRINGBONE / FRINGE grn Crt n unrwtr vision of otnil liss for your wrist sign y Crol Horn 168

13 CROSSWEAVE TECHNIQUE / NETTING Minight sun Cptur rystl in zl nstl in n of ntt strs sign y Giorgi Srini A lostr lw lsp t on n of th rlt lths onto th loop t th othr n. 210

Nefertiti. Echoes of. Regal components evoke visions of the past MULTIPLE STITCHES. designed by Helena Tang-Lim

Nefertiti. Echoes of. Regal components evoke visions of the past MULTIPLE STITCHES. designed by Helena Tang-Lim MULTIPLE STITCHES Nrtiti Ehos o Rgl omponnts vok visions o th pst sign y Hln Tng-Lim Us vrity o stiths to rt this rgl yt wrl sign. Prt sping llows squr s to mk roun omponnts tht rp utiully. FCT-SC-030617-07

More information

Contents. Introduction Tools & Materials Basics Stitching... 20

Contents. Introduction Tools & Materials Basics Stitching... 20 Introution... 8 Tools & Mtrils... 9 Bsis...12 Stithing... 20 Dimnsionl imons... 22 Stith imon shps into pyot pttrn to rt txtur u 22 Wv ring... 24 Put ing ltovrs to us in ths lightul rings Rivr o light...

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

Contents. Introduction... 8 Tools & Materials... 9 Basics SINGLE-STITCH PROJECTS

Contents. Introduction... 8 Tools & Materials... 9 Basics SINGLE-STITCH PROJECTS Contnts Introution... 8 Tools & Mtrils... 9 Bsis... 13 22 SINGLE-STITCH PROJECTS Crsnt rostts nkl... 22 This uniqu stith using rsnt n s s rts nkl o tiny rostt shps. Aoring rh rlt n pnnt... 24 Dtil omponnts

More information

Contents. Basics Introduction... 4 Herringbone Stitch Basics... 5

Contents. Basics Introduction... 4 Herringbone Stitch Basics... 5 Klmh Books 21027 Crossros Cirl Wuksh, Wisonsin 53186 www.klmh.om/books Contnts 2012 Klmh Books All rights rsrv. Expt for rif xrpts for rviw, this ook my not rprou in prt or in whol y ltroni mns or othrwis

More information

RAW / PEYOTE STITCH / BRICK STITCH / HERRINGBONE

RAW / PEYOTE STITCH / BRICK STITCH / HERRINGBONE RAW / PEYOTE STITCH / BRICK STITCH / HERRINGBONE Sur vorit, oin, or utton with prottiv ron work in our stithin thniqus. FCT-SC-040317_02 sin y Niol Spiknrithr 2016 Klmh Pulishin Co. This mtril my not rprou

More information

d e c b a d c b a d e c b a a c a d c c e b

d e c b a d c b a d e c b a a c a d c c e b FLAT PEYOTE STITCH Bin y mkin stoppr -- sw trou n pull it lon t tr until it is out 6 rom t n. Sw trou t in witout splittin t tr. You soul l to sli it up n own t tr ut it will sty in pl wn lt lon. Evn-Count

More information

extra GIVE YOURSELF THE GIFT OF BEADING! Make a stunning passion flower necklace and earring set

extra GIVE YOURSELF THE GIFT OF BEADING! Make a stunning passion flower necklace and earring set BB xtr SUBSCRIBER EXCLUSIVE DECEMBER 2017 GIVE YOURSELF THE GIFT OF BEADING! Mk stunning pssion lowr nkl n rring st BUILD YOUR SKILLS WITH 14 TECHNIQUES p. 39 BONUS! Quik-n-sy holiy projts 30 + signs to

More information

extra More precious than diamonds Diamonds & daggers bracelet p.3 Baroque diamonds earrings p.6 Underwater beaded box p.8

extra More precious than diamonds Diamonds & daggers bracelet p.3 Baroque diamonds earrings p.6 Underwater beaded box p.8 p. 26 BB xtr SUBSCRIBER EXCLUSIVE AUGUST 2018 8 Grt summr rlts Stith n mix stkls p. 30 >> Mosi loomwork wrps p. 46 Sunny sunflowrs p. 56 B roht ntips p. 38 AND MORE! REBEL NELL: Empowring womn through

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

extra BEAD LIKE AN EGYPTIAN p. 3 BEADED AND BEAUTIFUL

extra BEAD LIKE AN EGYPTIAN p. 3 BEADED AND BEAUTIFUL BB xtr SUBSCRIBER EXCLUSIVE FEBRUARY 2018 STRETCH YOUR SKILLS! A strngth with srt or p. 48 Emllish zls with two-hol s p. 33 Mk 7-strn ri with your stsh p. 20 n mor! 3 pps for signing kumihimo jwlry p.

More information

Divided. diamonds. Mimic the look of facets in a bracelet that s deceptively deep RIGHT-ANGLE WEAVE. designed by Peggy Brinkman Matteliano

Divided. diamonds. Mimic the look of facets in a bracelet that s deceptively deep RIGHT-ANGLE WEAVE. designed by Peggy Brinkman Matteliano RIGHT-ANGLE WEAVE Dv mons Mm t look o ts n rlt tt s ptvly p sn y Py Brnkmn Mttlno Dv your mons nto trnls o two or our olors. FCT-SCON0216_BNB66 2012 Klm Pulsn Co. Ts mtrl my not rprou n ny orm wtout prmsson

More information

a b c cat CAT A B C Aa Bb Cc cat cat Lesson 1 (Part 1) Verbal lesson: Capital Letters Make The Same Sound Lesson 1 (Part 1) continued...

a b c cat CAT A B C Aa Bb Cc cat cat Lesson 1 (Part 1) Verbal lesson: Capital Letters Make The Same Sound Lesson 1 (Part 1) continued... Progrssiv Printing T.M. CPITLS g 4½+ Th sy, fun (n FR!) wy to tch cpitl lttrs. ook : C o - For Kinrgrtn or First Gr (not for pr-school). - Tchs tht cpitl lttrs mk th sm souns s th littl lttrs. - Tchs th

More information

FINE JEWELRY & DESIGN STUDIO. 63 Haywood Street in Downtown Asheville North Carolina

FINE JEWELRY & DESIGN STUDIO. 63 Haywood Street in Downtown Asheville North Carolina FINE JEWELRY & DESIGN STUDIO 63 Hywoo Strt in Downtown Ashvill North Crolin 828.254.5088 www.jwlsthtn.om g i h. 14kw imon (0.21 tw) n $750. 14kw imon (0.46 tw) n $1,350. 14kw imon n spphir trrop rrings

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

Contents. Introduction... 8 Tools & Materials... 9 Basics SINGLE-STITCH PROJECTS... 20

Contents. Introduction... 8 Tools & Materials... 9 Basics SINGLE-STITCH PROJECTS... 20 Contnts Introuton... 8 Tools & Mtrls... 9 Bss... 13 27 SINGLE-STITCH PROJECTS... 20 Lntl sprl splnor... 22 Rons o prls n r-polsh s twst roun or o two-hol lntl s to rt smooth sprl nkl Rvrsl wvs... 24 Chng

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

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

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

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

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

What do you know? Listen and find. Listen and circle. Listen and chant. Listen and say. Lesson 1. sheep. horse

What do you know? Listen and find. Listen and circle. Listen and chant. Listen and say. Lesson 1. sheep. horse Animls shp T h i nk Wht o you know? 2 2:29 Listn n fin. hors Wht s this? Wht s this? It s got ig nos. It s ig n gry. It s hors! YES! 2 Wht r ths? Wht r ths? Thy v got two lgs. Thy r smll n rown. Thy r

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

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

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

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

(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

Last time: introduced our first computational model the DFA.

Last time: introduced our first computational model the DFA. Lctur 7 Homwork #7: 2.2.1, 2.2.2, 2.2.3 (hnd in c nd d), Misc: Givn: M, NFA Prov: (q,xy) * (p,y) iff (q,x) * (p,) (follow proof don in clss tody) Lst tim: introducd our first computtionl modl th DFA. Tody

More information

Contents. Projects CLASSIC 12 GEOMETRIC 50 ROMANTIC 32 ORGANIC 68 BASICS 90. Introduction 4. Crown Jewels fringe 14

Contents. Projects CLASSIC 12 GEOMETRIC 50 ROMANTIC 32 ORGANIC 68 BASICS 90. Introduction 4. Crown Jewels fringe 14 Contnts Klmh Books 21027 Crossros Cirl Wuksh, Wisonsin 318 www.klmh.om/books 2010 Ann Elizth Drr All rihts rsrv. This ook my not rprou in prt or in whol y ltroni mns or othrwis without writtn prmission

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

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

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

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

Tangram Fractions Overview: Students will analyze standard and nonstandard

Tangram Fractions Overview: Students will analyze standard and nonstandard ACTIVITY 1 Mtrils: Stunt opis o tnrm mstrs trnsprnis o tnrm mstrs sissors PROCEDURE Skills: Dsriin n nmin polyons Stuyin onrun Comprin rtions Tnrm Frtions Ovrviw: Stunts will nlyz stnr n nonstnr tnrms

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

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

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

Polygons POLYGONS.

Polygons POLYGONS. Polgons PLYGNS www.mthltis.o.uk ow os it work? Solutions Polgons Pg qustions Polgons Polgon Not polgon Polgon Not polgon Polgon Not polgon Polgon Not polgon f g h Polgon Not polgon Polgon Not polgon Polgon

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

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

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

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

# 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

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

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

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

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

Multipoint Alternate Marking method for passive and hybrid performance monitoring

Multipoint Alternate Marking method for passive and hybrid performance monitoring Multipoint Altrnt Mrkin mtho or pssiv n hyri prormn monitorin rt-iool-ippm-multipoint-lt-mrk-00 Pru, Jul 2017, IETF 99 Giuspp Fiool (Tlom Itli) Muro Coilio (Tlom Itli) Amo Spio (Politnio i Torino) Riro

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

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

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

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

6202R. between SKY and GROUND. Statement sidewalk

6202R. between SKY and GROUND. Statement sidewalk twn SKY n GROUND Sttmnt siwlk wlkwy onnting rivrsi puli zons grnlin Lirris n musums in our tim r not only rsrv rtifts n ooks ut offr iffrnt vnts to visitors, host utionl n ivi progrms, nsur flxil sps for

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

Construction 11: Book I, Proposition 42

Construction 11: Book I, Proposition 42 Th Visul Construtions of Euli Constrution #11 73 Constrution 11: Book I, Proposition 42 To onstrut, in givn rtilinl ngl, prlllogrm qul to givn tringl. Not: Equl hr mns qul in r. 74 Constrution # 11 Th

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

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

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

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

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

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

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

In order to learn which questions have been answered correctly: 1. Print these pages. 2. Answer the questions.

In order to learn which questions have been answered correctly: 1. Print these pages. 2. Answer the questions. Crystl Rports for Visul Stuio.NET In orr to lrn whih qustions hv n nswr orrtly: 1. Print ths pgs. 2. Answr th qustions. 3. Sn this ssssmnt with th nswrs vi:. FAX to (212) 967-3498. Or. Mil th nswrs to

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

Weighted Graphs. Weighted graphs may be either directed or undirected.

Weighted Graphs. Weighted graphs may be either directed or undirected. 1 In mny ppltons, o rp s n ssot numrl vlu, ll wt. Usully, t wts r nonntv ntrs. Wt rps my tr rt or unrt. T wt o n s otn rrr to s t "ost" o t. In ppltons, t wt my msur o t lnt o rout, t pty o ln, t nry rqur

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

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

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

H NT Z N RT L 0 4 n f lt r h v d lt n r n, h p l," "Fl d nd fl d " ( n l d n l tr l t nt r t t n t nt t nt n fr n nl, th t l n r tr t nt. r d n f d rd n t th nd r nt r d t n th t th n r lth h v b n f

More information

A prefix word in each of these sentences is incorrect. Rewrite the prefix words correctly.

A prefix word in each of these sentences is incorrect. Rewrite the prefix words correctly. Spring Trm 2 Cirl th possssiv pronoun: Th hilrn wr thrill tht th i tht h n hosn or th inl prout ws thirs. Rwrit this sntn with th vril phrs t th ginning. Don t orgt omm! Thr wsn t on pi o pizz lt tr th

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

CS200: Graphs. Graphs. Directed Graphs. Graphs/Networks Around Us. What can this represent? Sometimes we want to represent directionality:

CS200: Graphs. Graphs. Directed Graphs. Graphs/Networks Around Us. What can this represent? Sometimes we want to represent directionality: CS2: Grphs Prihr Ch. 4 Rosn Ch. Grphs A olltion of nos n gs Wht n this rprsnt? n A omputr ntwork n Astrtion of mp n Soil ntwork CS2 - Hsh Tls 2 Dirt Grphs Grphs/Ntworks Aroun Us A olltion of nos n irt

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

AP LAYGROUND RENEWAL WELCOME! NDY LIVINGSTONE PARK. What s happening? We want to hear your ideas! Project Timeline. we are here.

AP LAYGROUND RENEWAL WELCOME! NDY LIVINGSTONE PARK. What s happening? We want to hear your ideas! Project Timeline. we are here. ht s hppning? Th Vncouvr rk Bor is rnwing th plygroun in Any Livingston rk this yr Th rnw plygroun will ccommot wi rng of gs n bilitis, n will xprinc highr us, bcus of nw lmntry school opning nxt oor in

More information

UNCORRECTED SAMPLE PAGES 4-1. Naming fractions KEY IDEAS. 1 Each shape represents ONE whole. a i ii. b i ii

UNCORRECTED SAMPLE PAGES 4-1. Naming fractions KEY IDEAS. 1 Each shape represents ONE whole. a i ii. b i ii - Nming frtions Chptr Frtions Eh shp rprsnts ONE whol. i ii Wht frtion is shdd? Writ s frtion nd in words. Wht frtion is not shdd? Writ s frtion nd in words. i ii i ii Writ s mny diffrnt frtions s you

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

COOKIES COFFEE SANDWICHES CROISSANTS 1530 Elizabeth Ave, Suite 200 Charlotte NC UP/LP BC 13 TPNAIL EC 43 BC GWIRE UP/TRANS

COOKIES COFFEE SANDWICHES CROISSANTS 1530 Elizabeth Ave, Suite 200 Charlotte NC UP/LP BC 13 TPNAIL EC 43 BC GWIRE UP/TRANS afe Signage TNNT SIN TNNT SIN OOKIS OFF SNWIHS ROISSNTS 0 lizabeth ve, Suite 00 harlotte N 0 0 0 0 Proposed levation Survey (Shown For Reference Only) Scale: /" = '-0" NW MILL FINISH LNSP RUTUR, TYPIL

More information

Walk Like a Mathematician Learning Task:

Walk Like a Mathematician Learning Task: Gori Dprtmnt of Euction Wlk Lik Mthmticin Lrnin Tsk: Mtrics llow us to prform mny usful mthmticl tsks which orinrily rquir lr numbr of computtions. Som typs of problms which cn b on fficintly with mtrics

More information

S i m p l i f y i n g A l g e b r a SIMPLIFYING ALGEBRA.

S i m p l i f y i n g A l g e b r a SIMPLIFYING ALGEBRA. S i m p l i y i n g A l g r SIMPLIFYING ALGEBRA www.mthltis.o.nz Simpliying SIMPLIFYING Algr ALGEBRA Algr is mthmtis with mor thn just numrs. Numrs hv ix vlu, ut lgr introus vrils whos vlus n hng. Ths

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

Grade 7/8 Math Circles March 4/5, Graph Theory I- Solutions

Grade 7/8 Math Circles March 4/5, Graph Theory I- Solutions ulty o Mtmtis Wtrloo, Ontrio N ntr or ution in Mtmtis n omputin r / Mt irls Mr /, 0 rp Tory - Solutions * inits lln qustion. Tr t ollowin wlks on t rp low. or on, stt wtr it is pt? ow o you know? () n

More information

Self-Adjusting Top Trees

Self-Adjusting Top Trees Th Polm Sl-jsting Top Ts ynmi ts: ol: mintin n n-tx ost tht hngs o tim. link(,w): ts n g twn tis n w. t(,w): lts g (,w). pplition-spii t ssoit with gs n/o tis. ont xmpls: in minimm-wight g in th pth twn

More information

Decimals DECIMALS.

Decimals DECIMALS. Dimls DECIMALS www.mthltis.o.uk ow os it work? Solutions Dimls P qustions Pl vlu o imls 0 000 00 000 0 000 00 0 000 00 0 000 00 0 000 tnths or 0 thousnths or 000 hunrths or 00 hunrths or 00 0 tn thousnths

More information

ISSUES/REVISION DATE HOUSE HOUSE G.C.= 1898 SF + - FUTURE GARAGE = 336 SF + - TOTAL G.C.= 2234 SF + - TOTAL HABITABLE SPACE = 3514 SF ' SETBACK

ISSUES/REVISION DATE HOUSE HOUSE G.C.= 1898 SF + - FUTURE GARAGE = 336 SF + - TOTAL G.C.= 2234 SF + - TOTAL HABITABLE SPACE = 3514 SF ' SETBACK T h o r n e w i l l e s i g n LL N a n t u c k e t, M a. 0 5 5 4 T e l e. 5 0 8 8 9 6 F a x 5 0 8 8 6 5 US OF RWING c Thornewill esign LL 0 NNTUKT PROJT 6 NNHUMK LN, NNTUKT, M ISSUS/RVISION T HOUS H 07/05/07

More information

MINI POST SERIES BALUSTRADE SYSTEM INSTALLATION GUIDE PRODUCT CODE: MPS-RP

MINI POST SERIES BALUSTRADE SYSTEM INSTALLATION GUIDE PRODUCT CODE: MPS-RP MN POST SRS LUSTR SYSTM NSTLLTON U PROUT O: MPS-RP 0 R0 WLL LN 0 RONT LVTON VW R0 N P 0 T RUR LOK LOT ON LSS. SLON SL TYP. OT SS 000 LSS T 0 00 SRS LSS WT 00/00 (0mm NRMNTS VLL) MX. 000 00-0 (ROMMN) 00

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

Math 166 Week in Review 2 Sections 1.1b, 1.2, 1.3, & 1.4

Math 166 Week in Review 2 Sections 1.1b, 1.2, 1.3, & 1.4 Mt 166 WIR, Sprin 2012, Bnjmin urisp Mt 166 Wk in Rviw 2 Stions 1.1, 1.2, 1.3, & 1.4 1. S t pproprit rions in Vnn irm tt orrspon to o t ollowin sts. () (B ) B () ( ) B B () (B ) B 1 Mt 166 WIR, Sprin 2012,

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

ME 522 PRINCIPLES OF ROBOTICS. FIRST MIDTERM EXAMINATION April 19, M. Kemal Özgören

ME 522 PRINCIPLES OF ROBOTICS. FIRST MIDTERM EXAMINATION April 19, M. Kemal Özgören ME 522 PINCIPLES OF OBOTICS FIST MIDTEM EXAMINATION April 9, 202 Nm Lst Nm M. Kml Özgörn 2 4 60 40 40 0 80 250 USEFUL FOMULAS cos( ) cos cos sin sin sin( ) sin cos cos sin sin y/ r, cos x/ r, r 0 tn 2(

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

Problem solving by search

Problem solving by search Prolm solving y srh Tomáš voo Dprtmnt o Cyrntis, Vision or Roots n Autonomous ystms Mrh 5, 208 / 3 Outlin rh prolm. tt sp grphs. rh trs. trtgis, whih tr rnhs to hoos? trtgy/algorithm proprtis? Progrmming

More information

RUTH. land_of_israel: the *country *which God gave to his people in the *Old_Testament. [*map # 2]

RUTH. land_of_israel: the *country *which God gave to his people in the *Old_Testament. [*map # 2] RUTH 1 Elimlk g ln M 1-2 I in im n ln Irl i n *king. Tr r lr rul ln. Ty r ug. Tr n r l in Ju u r g min. Elimlk mn y in n Blm in Ju. H i nm Nmi. S n Elimlk 2 *n. Tir nm r Mln n Kilin. Ty r ll rm Er mily.

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

ATMOSPHERIC DISTURBANCE MONITOR MAIN CIRCUIT BOARD V5

ATMOSPHERIC DISTURBANCE MONITOR MAIN CIRCUIT BOARD V5 P VOL TMOSPHRI ISTURN MONITOR MIN IRUIT OR V5 R 70K IN 0mH 0pF OLLTOR OUT TST.00mF IN 70K mh Q R 0pF OLOR O: R 0mF N9 TRIM N9 K9. SI LIHTNIN TTOR (-) to (+) Pulse Out 5 00mF (+) to (-) Pulse Out 0R *R

More information

FTD marketplace july discover what s fresh & new for the holidays!

FTD marketplace july discover what s fresh & new for the holidays! FTD mrktpl july 2012 Christms in July isovr wht s rsh & nw or th holiys! mtl plntrs tl o ontnts 2-7 mtl plntrs 8 novlty ontinrs 9-11 skts 12-13 rmis 14-19 glsswr & lorl om 20-21 FTD holiy xlusivs olltion

More information

Minimum Spanning Trees

Minimum Spanning Trees Minimum Spnning Trs Minimum Spnning Trs Problm A town hs st of houss nd st of rods A rod conncts nd only houss A rod conncting houss u nd v hs rpir cost w(u, v) Gol: Rpir nough (nd no mor) rods such tht:

More information

LIVING/DINING 23'-6" x 13'-1" W/D M&E METER CLOSET OPT. PANTRY W/D. LIVING/DINING 23'-6" x 13'-1" ROOF TOP TERRACE AREA SQ. FT.

LIVING/DINING 23'-6 x 13'-1 W/D M&E METER CLOSET OPT. PANTRY W/D. LIVING/DINING 23'-6 x 13'-1 ROOF TOP TERRACE AREA SQ. FT. NTRY NTRY '-3" x 8'-0" '-3" x 8'-0" ###### x 8'-3" / 23'-" x 3'-" NTRY NTRY 3'-" x 7'-0" 9'-7" x 9'-7" '-0" x '-9" RKST NOOK 9'-0" x '-" 0 0 0 LVTIONS N TILS ON 9 SRIS. SHUL N TILS ON 9 SRIS. '-3" x 8'-0"

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

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

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