Vowel package manual
|
|
- Aubrey McDonald
- 6 years ago
- Views:
Transcription
1 Vwl pckg mnl FUKUI R Grdt Schl f Hmnts nd Sclgy Unvrsty f Tky 28 ctbr Drwng vwl dgrms 1.1 Th vwl nvrnmnt Th gnrl frmt f th vwl nvrnmnt s s fllws. [ptn(,ptn,)] cmmnds fr npttng vwls ptns nd cmmnds fr npttng vwls r xplnd blw. 1.2 Th shps f th dgrm spprtd Th dflt shp f th vwl dgrm s th n sd n th rcnt IP chrt, s shwn blw. In ths dgrm, th bttm, bck, nd tp sds r n th prprtn 2:3:4, s ws prscrbd by Dnl Jns. In rdr t chng th shp f n dgrm, spcfy th fllwng ptns. pln, smpl, stndrd, pnw (=dflt) rctngl trngl thr Drws rctnglr dgrm. Drws trnglr dgrm. Dstngshs nly thr lvls f vwl hght. Th frst grp f ptns r mtlly xclsv,.., nly n thm cn b slctd t tm. fkr@ty.l.-tky.c.jp 1
2 r [pnw] [pln] [smpl] [stndrd] mng th thr ptns, rctngl nd trngl r mtlly xclsv bt ch cn b cmbnd wth n f th ptns pln, smpl r pnw. nd th lst ptn thr cn b cmbnd wth n f th ptns pln, smpl r pnw, nd wth n f th ptns rctngl nd trngl. [rctngl] [pln,rctngl] [smpl,rctngl] [trngl] [pln,trngl] [smpl,trngl] 2
3 [smpl,thr] [smpl,trngl,thr] 1.3 Plcng vwls n dgrm Th fllwng cmmnds r prprd n rdr t plc vwls n th vwl dgrm. \ptcvwl[l r]{symbl}{crdnl pstn} \ptvwl[l r]{symbl}{x}{y} Th frmr cmmnd s sd t plc vwl n crdnl pstn, nd th lttr s sd t plc vwl n pnt spcfd by x nd y. In ch cs, n ptnl rgmnt [l] r [r] cn b gvn, whch spcfs t pt symbl (slly dt) tht ndcts th pnt nd vwl s plcd t th lft r rght f th symbl. Th nxt tbl shws dgrm ndctng th crdnl pstns nd n xmpl f vwl dgrm cntnng th \ptcvwl cmmnds I U 3 æ 5 6 \ptcvwl{}{2} \ptcvwl{\txtp{}}{3} \ptcvwl{}{4} Th crdnl pstns frm 1 thrgh 8 r th sm wth th nmbrs f crdnl vwls dtrmnd by Dnl Jns. nd th rmnng nmbrs (frm 9 thrgh 16) r xtndd crdnl pstns tht r sd t ndct th pstns f ll th rmnng vwls tht ppr n th rcnt IP chrt, hvng n rltn t th Jnsn systm f crdnl vwls. In th cs f th scnd frm f th cmmnd..., \ptvwl, th rgn s th ppr lft crnr. nd t s cnvnnt t s th bsc nts, \vwlhnt nd \vwlvnt n spcfyng pnt n th x y crdnt. th bttm rght crnr s ndctd by pnt (4\vwlhnt, 3\vwlhnt). Ths: nd \ptvwl{}{0pt}{0pt} s qvlnt t. \ptvwl{\txtscrpt}{4\vwlhnt}{3\vwlvnt} s qvlnt t \ptcvwl{\txtscrpt}{5}. 3
4 1.4 Chngng th sz f dgrm Th sl cmmnds fr chngng th sz f txt fnts sch s \smll, \lrg, \Lrg, tc. cn b sd t chng th sz f vwl dgrm. {\smll } {\lrg } It s ls pssbl t chng th sz f vwl symbl nd th sz f dgrm ndpndntly. In rdr t chng nly th sz f vwl symbl, s th cmmnds sch s \smll, \lrg, tc. wthn th \ptcvwl cmmnd. nd n rdr t chng nly th sz f dgrm, gv pprprt vls t th prmtrs \vwlhnt nd \vwlvnt. \vwlhnt stnds fr th hrzntl nt lngth, nd \vwlvnt th vrtcl nt lngth. By dflt bth \vwlhnt nd \vwlvnt r ql t 2m. nd f nly th frmr s mdfd by n sr, th lttr s tmtclly djstd t th sm lngth. \ptcvwl{\lrg }{2} \ptcvwl{\lrg\txtp{}}{3} \ptcvwl{\hg }{4} {\vwlhnt=1m } {\vwlvnt=2.31m } 4
5 2 xmpl Th nxt xmpl shws th IP vwl chrt (pdtd 1996). y I Y ø 1 0 W U 9 8 œ 3 Æ æ 5 Œ 2 6 \ptcvwl[l]{}{1} \ptcvwl[r]{y}{1} \ptcvwl[l]{}{2} \ptcvwl[r]{\}{2} \ptcvwl[l]{\txtpsln}{3} \ptcvwl[r]{\}{3} \ptcvwl[l]{}{4} \ptcvwl[r]{\txtsclg}{4} \ptcvwl[l]{\txtscrpt}{5} \ptcvwl[r]{\txttrnscrpt}{5} \ptcvwl[l]{\txttrnv}{6} \ptcvwl[r]{\txtpn}{6} \ptcvwl[l]{\txtrmshrns}{7} \ptcvwl[r]{}{7} \ptcvwl[l]{\txttrnm}{8} \ptcvwl[r]{}{8} \ptcvwl[l]{\txtbr}{9} \ptcvwl[r]{\txtbr}{9} \ptcvwl[l]{\txtrv}{10} \ptcvwl[r]{\txtbr}{10} \ptcvwl{\txtschw}{11} \ptcvwl[l]{\txtrvpsln}{12} \ptcvwl[r]{\txtclsrvpsln}{12} \ptcvwl{\txtsc\ \txtscy}{13} \ptcvwl{\txtpsln}{14} \ptcvwl{\txttrn}{15} \ptcvwl{\}{16} 5
Math 656 Midterm Examination March 27, 2015 Prof. Victor Matveev
Math 656 Mdtrm Examnatn March 7, 05 Prf. Vctr Matvv ) (4pts) Fnd all vals f n plar r artsan frm, and plt thm as pnts n th cmplx plan: (a) Snc n-th rt has xactly n vals, thr wll b xactly =6 vals, lyng n
More informationglo beau bid point full man branch last ior s all for ap Sav tree tree God length per down ev the fect your er Cm7 a a our
SING, MY TONGU, TH SAVIOR S GLORY mj7 Mlod Kbd fr nd S would tm flsh s D nd d tn s drw t crd S, Fth t So Th L lss m ful wn dd t, Fs4 F wd; v, snr, t; ngh, t: lod; t; tgu, now Chrst, h O d t bnd Sv God
More informationSAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy.
LTNY OF TH SNTS Cntrs Gnt flwng ( = c. 100) /G Ddd9/F ll Kybrd / hv Ddd9 hv hv Txt 1973, CL. ll rghts rsrvd. Usd wth prmssn. Musc: D. Bckr, b. 1953, 1987, D. Bckr. Publshd by OCP. ll rghts rsrvd. SMPL
More informationME 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 informationMATHEMATICS FOR MANAGEMENT BBMP1103
Objctivs: TOPIC : EXPONENTIAL AND LOGARITHM FUNCTIONS. Idntif pnntils nd lgrithmic functins. Idntif th grph f n pnntil nd lgrithmic functins. Clcult qutins using prprtis f pnntils. Clcult qutins using
More informationADORO TE DEVOTE (Godhead Here in Hiding) te, stus bat mas, la te. in so non mor Je nunc. la in. tis. ne, su a. tum. tas: tur: tas: or: ni, ne, o:
R TE EVTE (dhd H Hdg) L / Mld Kbrd gú s v l m sl c m qu gs v nns V n P P rs l mul m d lud 7 súb Fí cón ví f f dó, cru gs,, j l f c r s m l qum t pr qud ct, us: ns,,,, cs, cut r l sns m / m fí hó sn sí
More information9.5 Complex variables
9.5 Cmpl varabls. Cnsdr th funtn u v f( ) whr ( ) ( ), f( ), fr ths funtn tw statmnts ar as fllws: Statmnt : f( ) satsf Cauh mann quatn at th rgn. Statmnt : f ( ) ds nt st Th rrt statmnt ar (A) nl (B)
More informationTURFGRASS DISEASE RESEARCH REPORT J. M. Vargas, Jr. and R. Detweiler Department of Botany and Plant Pathology Michigan State University
I TURFGRASS DISEASE RESEARCH REPORT 9 J. M. Vrgs, Jr. n R. Dtwilr Dprtmnt f Btny n Plnt Pthlgy Mihign Stt Univrsity. Snw Ml Th 9 snw ml fungii vlutin trils wr nut t th Byn Highln Rsrt, Hrr Springs, Mihign
More informationCopyright 2013 Christian Liberty Press TEACHER S MANUAL
TCHR S MNUL Pg Cpyrght 2013, 1993, 1991 Chrstn Lbrty Prss ll rghts rsrvd. N prt f ths tchr s mnl my b rprdcd r trnsmttd n ny frm r by ny mns, lctrnc r mchncl, wtht wrttn prmssn frm th pblshr. pblctn f
More informationMore 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 informationDomine Dominus Noster Motetto a V voci
Dn Dns Nstr Mttt V vc And Gbrl (c. 1533-155) Prm Prs O Lrd r Lrd, hw dbl s thy n th whl rth! Fr thy mgfcnc s lvtd bv th hvns. Ot f th mth f fnts nd f cklgs th hst prfctd ps, bcs f thy ns, tht th ght dstry
More informationA-\ LOAN DOCUMENT ' ' """" N11I OTIC TBAC UNANNOUNCED JUSTIFICATION DTIC^OA DISTRIBUTION STAMP DATE RECEIVED IN DTIC
LAN DCUMENT ' ' """" N TC TBAC UNANNUNCED JUTFCATN w DTRBUTN/ AVALABLTY DE DTRBUTN AVALABLTY AND/R PECAL A-\ DTRBUTN TAMP 99822 077 DATE RECEVED N DTC PHTGRAPH TH HEET AND RETURN T DTC-FDAC DTC^A DCUMENT
More informationChapter 8: Propagating Quantum States of Radiation
Quum Opcs f hcs Oplccs h R Cll Us Chp 8: p Quum Ss f R 8. lcmc Ms Wu I hs chp w wll cs pp quum ss f wus fs f spc. Cs h u shw lw f lcc wu. W ssum h h wu hs l lh qul h -c wll ssum l. Th lcc cs s fuc f l
More informationXV Quantum Electrodynamics
XV Qnt lctrdynics Fynn Rls fr QD An xl: Sry: iht Sts f Fynn Tchnis Fr rfrnc s: Hlzn&Mrtin s 86,8,9 Intrdctin t Prticl Physics ctr XV Cntnts R. Or Srin 005 Fynn rls sin 0 ty dl sin sin htn xtrnl lin in
More informationPreview. Graph. Graph. Graph. Graph Representation. Graph Representation 12/3/2018. Graph Graph Representation Graph Search Algorithms
/3/0 Prvw Grph Grph Rprsntton Grph Srch Algorthms Brdth Frst Srch Corrctnss of BFS Dpth Frst Srch Mnmum Spnnng Tr Kruskl s lgorthm Grph Drctd grph (or dgrph) G = (V, E) V: St of vrt (nod) E: St of dgs
More informationAsh Wednesday. First Introit thing. * Dómi- nos. di- di- nos, tú- ré- spi- Ps. ne. Dó- mi- Sál- vum. intra-vé-runt. Gló- ri-
sh Wdsdy 7 gn mult- tú- st Frst Intrt thng X-áud m. ns ní- m-sr-cór- Ps. -qu Ptr - m- Sál- vum m * usqu 1 d fc á-rum sp- m-sr-t- ó- num Gló- r- Fí- l- Sp-rí- : quó-n- m ntr-vé-runt á- n-mm c * m- quó-n-
More informationKeeping Up with Mephibosheth
252 Grp Nvmbr 2016, Wk 3 Smll Grp, K-1 Kping Up wit Mpibt Bibl Str: Kping Up wit Mpibt (Dvid nd Mpibt) 2 Sml 9:1-13 Bttm Lin: Hnr tr b kping r prmi. Mmr Vr: Lv n ntr dpl. Hnr tr mr tn rlv. Rmn 12:10, NIrV
More informationFundamentals of Continuum Mechanics. Seoul National University Graphics & Media Lab
Fndmntls of Contnm Mchncs Sol Ntonl Unvrsty Grphcs & Md Lb Th Rodmp of Contnm Mchncs Strss Trnsformton Strn Trnsformton Strss Tnsor Strn T + T ++ T Strss-Strn Rltonshp Strn Enrgy FEM Formlton Lt s Stdy
More informationEECE 301 Signals & Systems Prof. Mark Fowler
EECE 301 Signls & Systms Pf. Mk Fwl Discussin #1 Cmplx Numbs nd Cmplx-Vlud Functins Rding Assignmnt: Appndix A f Kmn nd Hck Cmplx Numbs Cmplx numbs is s ts f plynmils. Dfinitin f imginy # j nd sm sulting
More informationELEG 413 Lecture #6. Mark Mirotznik, Ph.D. Professor The University of Delaware
LG 43 Lctur #6 Mrk Mirtnik, Ph.D. Prfssr Th Univrsity f Dlwr mil: mirtni@c.udl.du Wv Prpgtin nd Plritin TM: Trnsvrs lctrmgntic Wvs A md is prticulr fild cnfigurtin. Fr givn lctrmgntic bundry vlu prblm,
More informationFilter Design Techniques
Fltr Dsgn chnqus Fltr Fltr s systm tht psss crtn frquncy componnts n totlly rcts ll othrs Stgs of th sgn fltr Spcfcton of th sr proprts of th systm ppromton of th spcfcton usng cusl scrt-tm systm Rlzton
More information² Ý ² ª ² Þ ² Þ Ң Þ ² Þ. ² à INTROIT. huc. per. xi, sti. su- sur. sum, cum. ia : ia, ia : am, num. VR Mi. est. lis. sci. ia, cta. ia.
str Dy Ps. 138 R 7 r r x, t huc t m m, l : p - í pr m m num m, l l : VR M rá s f ct st sc n -, l l -. Rpt nphn s fr s VR ftr ch vrs Ps. 1. D n, pr bá m, t c g ví m : c g ví ss s nm m m, t r r r c nm m
More informationElliptical motion, gravity, etc
FW Physics 130 G:\130 lctur\ch 13 Elliticl motion.docx g 1 of 7 11/3/010; 6:40 PM; Lst rintd 11/3/010 6:40:00 PM Fig. 1 Elliticl motion, grvity, tc minor xis mjor xis F 1 =A F =B C - D, mjor nd minor xs
More informationGUC (Dr. Hany Hammad)
Lct # Pl s. Li bdsid s with ifm mplitd distibtis. Gl Csidtis Uifm Bimil Optimm (Dlph-Tchbshff) Cicl s. Pl s ssmig ifm mplitd citti m F m d cs z F d d M COMM Lct # Pl s ssmig ifm mplitd citti F m m m T
More informationMath 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:2;$-$(01*%<*=,-./-*=0;"%/;"-*
!"#$%'()%"*#%*+,-./-*+01.2(.*3+456789*!"#$%"'()'*+,-."/0.%+1'23"45'46'7.89:89'/' ;8-,"$4351415,8:+#9' Dr. Ptr T. Gallaghr Astrphyscs Rsarch Grup Trnty Cllg Dubln :2;$-$(01*%
More informationSpecial Random Variables: Part 1
Spcl Rndom Vrbls: Prt Dscrt Rndom Vrbls Brnoull Rndom Vrbl (wth prmtr p) Th rndom vrbl x dnots th succss from trl. Th probblty mss functon of th rndom vrbl X s gvn by p X () p X () p p ( E[X ]p Th momnt
More information(A) the function is an eigenfunction with eigenvalue Physical Chemistry (I) First Quiz
96- Physcl Chmstry (I) Frst Quz lctron rst mss m 9.9 - klogrm, Plnck constnt h 6.66-4 oul scon Sp of lght c. 8 m/s, lctron volt V.6-9 oul. Th functon F() C[cos()+sn()] s n gnfuncton of /. Th gnvlu s (A)
More informationErrata for Second Edition, First Printing
Errt for Scond Edition, First Printing pg 68, lin 1: z=.67 should b z=.44 pg 1: Eqution (.63) should rd B( R) = x= R = θ ( x R) p( x) R 1 x= [1 G( x)] = θp( R) + ( θ R)[1 G( R)] pg 15, problm 6: dmnd of
More informationa 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 informationFormal Concept Analysis
Forml Conpt Anlysis Conpt intnts s losd sts Closur Systms nd Implitions 4 Closur Systms 0.06.005 Nxt-Closur ws dvlopd y B. Gntr (984). Lt M = {,..., n}. A M is ltilly smllr thn B M, if B A if th smllst
More informationDCDM BUSINESS SCHOOL NUMERICAL METHODS (COS 233-8) Solutions to Assignment 3. x f(x)
DCDM BUSINESS SCHOOL NUMEICAL METHODS (COS -8) Solutons to Assgnment Queston Consder the followng dt: 5 f() 8 7 5 () Set up dfference tble through fourth dfferences. (b) Wht s the mnmum degree tht n nterpoltng
More informationENGI 4421 Probability & Statistics
Lecture Ntes fr ENGI 441 Prbablty & Statstcs by Dr. G.H. Gerge Asscate Prfessr, Faculty f Engneerng and Appled Scence Seventh Edtn, reprnted 018 Sprng http://www.engr.mun.ca/~ggerge/441/ Table f Cntents
More informationPREPARATORY MATHEMATICS FOR ENGINEERS
CIVE 690 This qusti ppr csists f 6 pritd pgs, ch f which is idtifid by th Cd Numbr CIVE690 FORMULA SHEET ATTACHED UNIVERSITY OF LEEDS Jury 008 Emiti fr th dgr f BEg/ MEg Civil Egirig PREPARATORY MATHEMATICS
More informationTechnote 6. Op Amp Definitions. April 1990 Revised 11/22/02. Tim J. Sobering SDE Consulting
Technte 6 prl 990 Resed /22/02 Op mp Dentns Tm J. Sberng SDE Cnsultng sdecnsultng@pbx.cm 990 Tm J. Sberng. ll rghts resered. Op mp Dentns Pge 2 Op mp Dentns Ths Technte summrzes the bsc pertnl mpler dentns
More informationAppendices on the Accompanying CD
APPENDIX 4B Andis n th Amanyg CD TANSFE FUNCTIONS IN CONTINUOUS CONDUCTION MODE (CCM In this st, w will driv th transfr funt v / d fr th thr nvrtrs ratg CCM 4B- Buk Cnvrtrs Frm Fig. 4-7, th small signal
More informationLecture 11 Waves in Periodic Potentials Today: Questions you should be able to address after today s lecture:
Lctur 11 Wvs in Priodic Potntils Tody: 1. Invrs lttic dfinition in 1D.. rphicl rprsnttion of priodic nd -priodic functions using th -xis nd invrs lttic vctors. 3. Sris solutions to th priodic potntil Hmiltonin
More informationExercises H /OOA> f Wo AJoTHS l^»-l S. m^ttrt /A/ ?C,0&L6M5 INFERENCE FOR DISTRIBUTIONS OF CATEGORICAL DATA. tts^e&n tai-ns 5 2%-cas-hews^, 27%
/A/ mttrt?c,&l6m5 INFERENCE FOR DISTRIBUTIONS OF CATEGORICAL DATA Exercses, nuts! A cmpany clams that each batch f ttse&n ta-ns 5 2%-cas-hews, 27% almnds, 13% macadama nuts, and 8% brazl nuts. T test ths
More informationFractions. Mathletics Instant Workbooks. Simplify. Copyright
Frctons Stunt Book - Srs H- Smplfy + Mthltcs Instnt Workbooks Copyrht Frctons Stunt Book - Srs H Contnts Topcs Topc - Equvlnt frctons Topc - Smplfyn frctons Topc - Propr frctons, mpropr frctons n mx numbrs
More informationOPTICAL DESIGN. FIES fibre assemblies B and C. of the. LENS-TECH AB Bo Lindberg Document name: Optical_documentation_FIES_fiber_BC_2
OPTICAL DESIGN f h FIES fb ssmbs B d C LENS-TECH AB B Ldbg 2-4-3 Dcm m: Opc_dcm_FIES_fb_BC_2 Idc Ths p s dcm f h pc dsg f h FIES fb ssmbs B d C Th mchc dsg s shw I s shw h ssmb dwg md b Ahs Uvs Fb c Th
More informationRulebook The Dragon Castle the most ancient and important center of power in the Realm is
Rulbk Th Drgn Cstl th mst ncint nd imprtnt cntr f pwr in th Rlm is d l s ls sr s r d r lrds b m m lds r rm b r r s ds lds r r ls rm r s s s s r r r ls ls l r s s ldr d rs r s l lm m d s r r s ls r s m
More informationWinter 2016 COMP-250: Introduction to Computer Science. Lecture 23, April 5, 2016
Wintr 2016 COMP-250: Introduction to Computr Scinc Lctur 23, April 5, 2016 Commnt out input siz 2) Writ ny lgorithm tht runs in tim Θ(n 2 log 2 n) in wors cs. Explin why this is its running tim. I don
More informationInternational Journal of Scientific & Engineering Research, Volume 4, Issue 9, September ISSN
Intntinl Junl f Scintific & Engining Rsch, Vlum, Issu 9, Sptmb- bstct: Jcbin intgl nd Stbility f th quilibium psitin f th cnt f mss f n xtnsibl cbl cnnctd stllits systm in th lliptic bit. Vijy Kum ssistnt
More informationAlabaré. O Come and Sing
De pclipsis 7, 9 1 Letr en lés: n lstt lb Cme nd S Mnel sé lns sé Pgán Tecl Pet M. Klr STRIBILL ( = c. 10) Meldí Tecl s! Cme, l l s ( l b ( nd SMPL b nd ) s!) s! b r pris l b nd ( s! ( l b nd l b nd s!
More informationErrata for Second Edition, First Printing
Errt for Scond Edition, First Printing pg 68, lin 1: z=.67 should b z=.44 pg 71: Eqution (.3) should rd B( R) = θ R 1 x= [1 G( x)] pg 1: Eqution (.63) should rd B( R) = x= R = θ ( x R) p( x) R 1 x= [1
More informationLecture 35. Diffraction and Aperture Antennas
ctu 35 Dictin nd ptu ntnns In this lctu u will ln: Dictin f lctmgntic ditin Gin nd ditin pttn f ptu ntnns C 303 Fll 005 Fhn Rn Cnll Univsit Dictin nd ptu ntnns ptu ntnn usull fs t (mtllic) sht with hl
More informationMulti-Section Coupled Line Couplers
/0/009 MultiSction Coupld Lin Couplrs /8 Multi-Sction Coupld Lin Couplrs W cn dd multipl coupld lins in sris to incrs couplr ndwidth. Figur 7.5 (p. 6) An N-sction coupld lin l W typiclly dsign th couplr
More informationAnother Explanation of the Cosmological Redshift. April 6, 2010.
Anthr Explanatin f th Csmlgical Rdshift April 6, 010. Jsé Francisc García Juliá C/ Dr. Marc Mrncian, 65, 5. 4605 Valncia (Spain) E-mail: js.garcia@dival.s h lss f nrgy f th phtn with th tim by missin f
More informationGibbs-Duhem Equation
Gbbs-Duhem Equtn rvdes reltnshp (cnstrnt) between prtl mlr prpertes es f dfferent speces n mture. V V (,, n, n,... n,... n m ) dv V d V d m V n, n n,,, n j j dn dv At cnstnt nd : m V n,, n j j dn ut: dv
More informationCONVEX COMBINATIONS OF ANALYTIC FUNCTIONS
rnat. J. Math. & Math. S. Vl. 6 N. (983) 33534 335 ON THE RADUS OF UNVALENCE OF CONVEX COMBNATONS OF ANALYTC FUNCTONS KHALDA. NOOR, FATMA M. ALOBOUD and NAEELA ALDHAN Mathematcs Department Scence Cllege
More informationLecture 26: Quadrature (90º) Hybrid.
Whits, EE 48/58 Lctur 26 Pag f Lctur 26: Quadratur (9º) Hybrid. Back in Lctur 23, w bgan ur discussin f dividrs and cuplrs by cnsidring imprtant gnral prprtis f thrand fur-prt ntwrks. This was fllwd by
More information1 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 informationConvergence Theorems for Two Iterative Methods. A stationary iterative method for solving the linear system: (1.1)
Conrgnc Thors for Two Itrt Mthods A sttonry trt thod for solng th lnr syst: Ax = b (.) ploys n trton trx B nd constnt ctor c so tht for gn strtng stt x of x for = 2... x Bx c + = +. (.2) For such n trton
More informationLA PRISE DE CALAIS. çoys, çoys, har - dis. çoys, dis. tons, mantz, tons, Gas. c est. à ce. C est à ce. coup, c est à ce
> ƒ? @ Z [ \ _ ' µ `. l 1 2 3 z Æ Ñ 6 = Ð l sl (~131 1606) rn % & +, l r s s, r 7 nr ss r r s s s, r s, r! " # $ s s ( ) r * s, / 0 s, r 4 r r 9;: < 10 r mnz, rz, r ns, 1 s ; j;k ns, q r s { } ~ l r mnz,
More informationChapter 2 Reciprocal Lattice. An important concept for analyzing periodic structures
Chpt Rcpocl Lttc A mpott cocpt o lyzg podc stuctus Rsos o toducg cpocl lttc Thoy o cystl dcto o x-ys, utos, d lctos. Wh th dcto mxmum? Wht s th tsty? Abstct study o uctos wth th podcty o Bvs lttc Fou tsomto.
More informationCOMP108 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 informationHomework #7. True False. d. Given a CFG, G, and a string w, it is decidable whether w ε L(G) True False
Hmewrk #7 #1. True/ False a. The Pumping Lemma fr CFL s can be used t shw a language is cntext-free b. The string z = a k b k+1 c k can be used t shw {a n b n c n } is nt cntext free c. The string z =
More informationCOMPLEXITY 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 informationERDOS-SMARANDACHE NUMBERS. Sabin Tabirca* Tatiana Tabirca**
ERDO-MARANDACHE NUMBER b Tbrc* Tt Tbrc** *Trslv Uvrsty of Brsov, Computr cc Dprtmt **Uvrsty of Mchstr, Computr cc Dprtmt Th strtg pot of ths rtcl s rprstd by rct work of Fch []. Bsd o two symptotc rsults
More informationCHAPTER 7d. DIFFERENTIATION AND INTEGRATION
CHAPTER 7d. DIFFERENTIATION AND INTEGRATION A. J. Clark School o Engnrng Dpartmnt o Cvl and Envronmntal Engnrng by Dr. Ibrahm A. Assakka Sprng ENCE - Computaton Mthods n Cvl Engnrng II Dpartmnt o Cvl and
More information10/7/14. Mixture Models. Comp 135 Introduction to Machine Learning and Data Mining. Maximum likelihood estimation. Mixture of Normals in 1D
Comp 35 Introducton to Machn Larnng and Data Mnng Fall 204 rofssor: Ron Khardon Mxtur Modls Motvatd by soft k-mans w dvlopd a gnratv modl for clustrng. Assum thr ar k clustrs Clustrs ar not rqurd to hav
More informationEquations from Relativistic Transverse Doppler Effect. The Complete Correlation of the Lorentz Effect to the Doppler Effect in Relativistic Physics
Equtins m Rltiisti Tnss ppl Et Th Cmplt Cltin th Lntz Et t th ppl Et in Rltiisti Physis Cpyight 005 Jsph A. Rybzyk Cpyight Risd 006 Jsph A. Rybzyk Fllwing is mplt list ll th qutins usd in did in th Rltiisti
More informationconvection coefficient. The different property values of water at 20 C are given by: u W/m K, h=8062 W/m K
Practice rblems fr Cnvective Heat Transfer 1. Water at 0 C flws ver a flat late 1m 1m at 10 C with a free stream velcity f 4 m/s. Determine the thickness f bndary layers, lcal and average vale f drag cefficient
More informationSection 6-2: Simplex Method: Maximization with Problem Constraints of the Form ~
Sectin 6-2: Simplex Methd: Maximizatin with Prblem Cnstraints f the Frm ~ Nte: This methd was develped by Gerge B. Dantzig in 1947 while n assignment t the U.S. Department f the Air Frce. Definitin: Standard
More informationPlanar 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 informationX Maths: Chapter 8 Trigonometry
X Maths: Chapter 8 Trignmetry EXERCISE Given 5 ct = 8, find If 8 = 5, find cs In figure find P ct R 4 In a right triangle BC, right-angled at B, if =, then verify that cs = 5 In OPQ, right-angled at P,
More informationCHAPTER 3 ANALYSIS OF KY BOOST CONVERTER
70 CHAPTER 3 ANALYSIS OF KY BOOST CONERTER 3.1 Intrductn The KY Bst Cnverter s a recent nventn made by K.I.Hwu et. al., (2007), (2009a), (2009b), (2009c), (2010) n the nn-slated DC DC cnverter segment,
More information8. Linear Contracts under Risk Neutrality
8. Lnr Contrcts undr Rsk Nutrlty Lnr contrcts r th smplst form of contrcts nd thy r vry populr n pplctons. Thy offr smpl ncntv mchnsm. Exmpls of lnr contrcts r mny: contrctul jont vnturs, quty jont vnturs,
More informationCSE303 - Introduction to the Theory of Computing Sample Solutions for Exercises on Finite Automata
CSE303 - Introduction to th Thory of Computing Smpl Solutions for Exrciss on Finit Automt Exrcis 2.1.1 A dtrministic finit utomton M ccpts th mpty string (i.., L(M)) if nd only if its initil stt is finl
More informationIntegration 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 informationMinimum Spanning Trees
Mnmum Spnnng Trs Spnnng Tr A tr (.., connctd, cyclc grph) whch contns ll th vrtcs of th grph Mnmum Spnnng Tr Spnnng tr wth th mnmum sum of wghts 1 1 Spnnng forst If grph s not connctd, thn thr s spnnng
More informationSolution of Tutorial 5 Drive dynamics & control
ELEC463 Unversty of New South Wles School of Electrcl Engneerng & elecommunctons ELEC463 Electrc Drve Systems Queston Motor Soluton of utorl 5 Drve dynmcs & control 500 rev/mn = 5.3 rd/s 750 rted 4.3 Nm
More informationCop yri ht 2006, Barr Mabillard.
Trignmetry II Cpyright Trignmetry II Standards 006, Test Barry ANSWERS Mabillard. 0 www.math0s.cm . If csα, where sinα > 0, and 5 cs α + β value f sin β, where tan β > 0, determine the exact 9 First determine
More informationThe Number of Rows which Equal Certain Row
Interntonl Journl of Algebr, Vol 5, 011, no 30, 1481-1488 he Number of Rows whch Equl Certn Row Ahmd Hbl Deprtment of mthemtcs Fcult of Scences Dmscus unverst Dmscus, Sr hblhmd1@gmlcom Abstrct Let be X
More informationCONIC SECTIONS. MODULE-IV Co-ordinate Geometry OBJECTIVES. Conic Sections
Conic Sctions 16 MODULE-IV Co-ordint CONIC SECTIONS Whil cutting crrot ou might hv noticd diffrnt shps shown th dgs of th cut. Anlticll ou m cut it in thr diffrnt ws, nml (i) (ii) (iii) Cut is prlll to
More informationChapter 16. 1) is a particular point on the graph of the function. 1. y, where x y 1
Prctic qustions W now tht th prmtr p is dirctl rltd to th mplitud; thrfor, w cn find tht p. cos d [ sin ] sin sin Not: Evn though ou might not now how to find th prmtr in prt, it is lws dvisl to procd
More informationChemical Reaction Engineering
Lecture 20 hemcl Recton Engneerng (RE) s the feld tht studes the rtes nd mechnsms of chemcl rectons nd the desgn of the rectors n whch they tke plce. Lst Lecture Energy Blnce Fundmentls F 0 E 0 F E Q W
More information{nuy,l^, W%- TEXAS DEPARTMENT OT STATE HEALTH SERVICES
TXAS DARTMT T STAT AT SRVS J RSTDT, M.D. MMSSR.. Bx 149347 Astn, T exs 7 87 4 93 47 18889371 1 TTY: l800732989 www.shs.stte.tx.s R: l nmtn n mps Webstes De Spentenent n Shl Amnsttn, eby 8,201 k 2007, the
More information22 t b r 2, 20 h r, th xp t d bl n nd t fr th b rd r t t. f r r z r t l n l th h r t rl T l t n b rd n n l h d, nd n nh rd f pp t t f r n. H v v d n f
n r t d n 20 2 : 6 T P bl D n, l d t z d http:.h th tr t. r pd l 22 t b r 2, 20 h r, th xp t d bl n nd t fr th b rd r t t. f r r z r t l n l th h r t rl T l t n b rd n n l h d, nd n nh rd f pp t t f r
More information4F-5 : Performance of an Ideal Gas Cycle 10 pts
4F-5 : Perfrmance f an Cycle 0 pts An ideal gas, initially at 0 C and 00 kpa, underges an internally reversible, cyclic prcess in a clsed system. The gas is first cmpressed adiabatically t 500 kpa, then
More informationLECTURE 6 TRANSFORMATION OF RANDOM VARIABLES
LECTURE 6 TRANSFORMATION OF RANDOM VARIABLES TRANSFORMATION OF FUNCTION OF A RANDOM VARIABLE UNIVARIATE TRANSFORMATIONS TRANSFORMATION OF RANDOM VARIABLES If s a rv wth cdf F th Y=g s also a rv. If w wrt
More informationLecture 20: Minimum Spanning Trees (CLRS 23)
Ltur 0: Mnmum Spnnn Trs (CLRS 3) Jun, 00 Grps Lst tm w n (wt) rps (unrt/rt) n ntrou s rp voulry (vrtx,, r, pt, onnt omponnts,... ) W lso suss jny lst n jny mtrx rprsntton W wll us jny lst rprsntton unlss
More informationMore Statistics tutorial at 1. Introduction to mathematical Statistics
Mor Sttstcs tutorl t wwwdumblttldoctorcom Itroducto to mthmtcl Sttstcs Fl Soluto A Gllup survy portrys US trprurs s " th mvrcks, drmrs, d lors whos rough dgs d ucompromsg d to do t thr ow wy st thm shrp
More informationHaddow s Experiment:
schemtc drwng of Hddow's expermentl set-up movng pston non-contctng moton sensor bems of sprng steel poston vres to djust frequences blocks of sold steel shker Hddow s Experment: terr frm Theoretcl nd
More informationHumanistic, and Particularly Classical, Studies as a Preparation for the Law
University of Michigan Law School University of Michigan Law School Scholarship Repository Articles Faculty Scholarship 1907 Humanistic, and Particularly Classical, Studies as a Preparation for the Law
More informationECE542, Fall 2004 Homework 7 Solutions
EECE54: Dgtal Cmmuncatns Thry Prf. M. Hayat ECE54, Fall 004 Hmwrk 7 Slutns Prblm. Unn Bund: Ρ Ρ annunc, 0 { snt} dy Q But Ρ{ annunc snt} f ( y ( (Assum ( If
More informationSolutions to Problems. Then, using the formula for the speed in a parabolic orbit (equation ), we have
Slutins t Prblems. Nttin: V speed f cmet immeditely befre cllisin. V speed f cmbined bject immeditely fter cllisin, mmentum is cnserved. V, becuse liner + k q perihelin distnce f riginl prblic rbit, s
More informationDifferentiation Applications 1: Related Rates
Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm
More informationSection 5.1/5.2: Areas and Distances the Definite Integral
Scto./.: Ars d Dstcs th Dt Itgrl Sgm Notto Prctc HW rom Stwrt Ttook ot to hd p. #,, 9 p. 6 #,, 9- odd, - odd Th sum o trms,,, s wrtt s, whr th d o summto Empl : Fd th sum. Soluto: Th Dt Itgrl Suppos w
More informationComplex Numbers. Prepared by: Prof. Sunil Department of Mathematics NIT Hamirpur (HP)
th Topc Compl Nmbrs Hyprbolc fctos ad Ivrs hyprbolc fctos, Rlato btw hyprbolc ad crclar fctos, Formla of hyprbolc fctos, Ivrs hyprbolc fctos Prpard by: Prof Sl Dpartmt of Mathmatcs NIT Hamrpr (HP) Hyprbolc
More informationSchedule. Time Varying electromagnetic fields (1 Week) 6.1 Overview 6.2 Faraday s law (6.2.1 only) 6.3 Maxwell s equations
chedule Time Varying electrmagnetic fields (1 Week) 6.1 Overview 6.2 Faraday s law (6.2.1 nly) 6.3 Maxwell s equatins Wave quatin (3 Week) 6.5 Time-Harmnic fields 7.1 Overview 7.2 Plane Waves in Lssless
More informationMX25-BFM SA TÜV MX25-BFM ASME MX25-BFG MX25-BFD SA TÜV MX25-BFD ASME MX25-BFS ASME
lfa Laval MX25 Data sheet MX25-B rame types: MX25-BM S TÜV MX25-BM SM MX25-BG MX25-BD S TÜV MX25-BD SM MX25-BS SM Return to PH types DT SHT PH TYP MX25 B arrying bar Tightening bolt Support column Plate
More informationObjective of curve fitting is to represent a set of discrete data by a function (curve). Consider a set of discrete data as given in table.
CURVE FITTING Obectve curve ttg s t represet set dscrete dt b uct curve. Csder set dscrete dt s gve tble. 3 3 = T use the dt eectvel, curve epress s tted t the gve dt set, s = + = + + = e b ler uct plml
More informationTrigonometry. Trigonometry. Solutions. Curriculum Ready ACMMG: 223, 224, 245.
Trgonometry Trgonometry Solutons Currulum Redy CMMG:, 4, 4 www.mthlets.om Trgonometry Solutons Bss Pge questons. Identfy f the followng trngles re rght ngled or not. Trngles,, d, e re rght ngled ndted
More information6.012 Electronic Devices and Circuits Formula Sheet for Final Exam, Fall q = 1.6x10 19 Coul III IV V = x10 14 o. = 3.
6.0 Elctc Dvcs ad Ccuts ula Sht f al Exa, all 003 Paat Valus: Pdc Tabl: q.6x0 9 Cul III IV V 8.854 x0 4 /c,,s.7,,so 3.9 B C N 0 S /c, SO 3.5 x0 3 /c Al S P [S@R.T] 0 0 c 3 Ga G As /q 0.05 V ; ( /q) l0
More informationLecture 27: The 180º Hybrid.
Whits, EE 48/58 Lctur 7 Pag f 0 Lctur 7: Th 80º Hybrid. Th scnd rciprcal dirctinal cuplr w will discuss is th 80º hybrid. As th nam implis, th utputs frm such a dvic can b 80º ut f phas. Thr ar tw primary
More informationPath (space curve) Osculating plane
Fo th cuilin motion of pticl in spc th fomuls did fo pln cuilin motion still lid. But th my b n infinit numb of nomls fo tngnt dwn to spc cu. Whn th t nd t ' unit ctos mod to sm oigin by kping thi ointtions
More information11/13/17. directed graphs. CS 220: Discrete Structures and their Applications. relations and directed graphs; transitive closure zybooks
dirctd graphs CS 220: Discrt Strctrs and thir Applications rlations and dirctd graphs; transiti closr zybooks 9.3-9.6 G=(V, E) rtics dgs dgs rtics/ nods Edg (, ) gos from rtx to rtx. in-dgr of a rtx: th
More informationH 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 informationLECTURE 2 1. THE SPACE RELATED PROPRIETIES OF PHYSICAL QUANTITIES
LECTURE. THE SPCE RELTED PROPRIETIES OF PHYSICL QUNTITIES Phss uses phsl prmeters. In ths urse ne wll del nl wth slr nd vetr prmeters. Slr prmeters d nt depend n the spe dretn. Vetr prmeters depend n spe
More information