TEMPORAL ORGANIZATIDN OF SWEDISH TONAL ACCENTS: THE EFFECT OF VOWEL DLJRATION

Size: px
Start display at page:

Download "TEMPORAL ORGANIZATIDN OF SWEDISH TONAL ACCENTS: THE EFFECT OF VOWEL DLJRATION"

Transcription

1 TEMPORAL ORGANZATDN OF SWEDSH TONAL ACCENTS: THE EFFECT OF VOWEL DLJRATON Robert Bannert and Anne-Chrstne Bredvad-Jensen. ntroducton Snce Meyer's publcatons (Meyer 1937, 1954) the ncreasng nterest of phonetcans n the Swedsh word accents has resulted n many nvestgatons, e.g. Malmberg ( 1953, 1955), Haddng-Koch ( 1961), Öhman ( 1965), Alstermark and Erkson ( 1971), Erkson and.alstermark ( 1972), Gårdng and Lndblad (1973), Lafqvst (1973). A producton model of the Swedsh tonal accents was proposed by Öhman (1967) and crtczed and amended by Gårdng (197). Both proposals are dscussed by Bruce (1974) who provdes new acoustcal evdence concernng the tonal accents of the Stockholm dalect n stressed but non-focal sentence poston. Gårdng (1973) establshed a prelmnary typology, based on the characterstcs of the f manfestatons n bsyllabc words, not only for the Swedsh accents but also for the other Scandnavan (Norwegan and Dansh) word accents. nvestgatng the effect of vowel duraton on the f contour of the stressed vowel, Erkson and Alstermark (1972) presented data fora Stockholm speaker n the stressed vowel of accent 2 n nonsense words. They dscuss two ways n whch the f contour of accent 2, whch n ths dalect s manly fallng throughout the vowel segment, may be modfed when vowel duraton s decreased: (1) TRUNCATON: the fallng f contour of the short vowel, startng at the same frequency level as that of the long one, merely ends earler, whch means that ts last part s cut off or truncated. (2) RATE ADJLJSTMENT: the f contour of the short vowel, startng from the same level as that of the long one, falls more rapdly towards the end, thus mplyng a reorganzaton of the tonal contour due to the shorter vowel duraton. The complete shape of the long vowel contour, the fall from the ntal f maxmum to the fnal f mnmum, s preserved. The f contour of the short vowel s compressed and the fnal f mnmum has to be reached n a shorter tme. Therefore the curve has to fall more rapdly.

2 2 These two hypotheses are llustrated lke ths: Fgurs 1, Erkson 1 s and Alstermark's hypotheses: (1) TRUNCATON (2) RATE ADJUSTMENT f f \ ~ \ V V: t V V: t The fndngs of Erkson and Alstermark support the truncaton hypothess n the case of accent 2 of ther Stockholm nformant. The am of ths paper s to provde further nformaton on the effect of vowel duraton on the f contours of the stressad vowel segments of Swedsh tonal accents. We preferred to work wth meanngful words (n order to be able to use nave nformants), and we studed both accents of several speakers re~esentng dfferent dalects, As a consequence of the varyng segmental features of the meanngful words n our materal t s often not possble to correlate an observed change of the f contour wth one phonetc feature only. Nevertheless we beleve that our data wll satsfy the purpose of an ntroductory nvestgaton, Of course, further and more strctly controlled studes wll be necessary.. Materal As we ntended to work wth nformants who have no phonetcal tranng, we chose four quadruplets of meanngful, bsyllabc, non-compound testwords from Elert's lst of mnmal pars contrastng accent 1 and accent 2 (Elert 1972). The mast radcal shortenng of the vowel segment s acheved, as Erkson and Alstermark demonstrated, as a combnaton of phonologcal

3 3 (by means of the long-short opposton) and phonetcal condtonng (by means of the voced-voceless opposton). One par of testwords (frst lne of each set below) contaned a long vowel followed by a voced stop, The correspondng par (second lne of each set below) contaned a phonemcally short vowel followed by a voceless stop. The followng four sets of testwords (a-d) wers chosen: accent 1 accent 2 (a) tag-en (def,pl, of "grp") tack-en (def,pl, of "thanks") (b) stg-en (def,sng, of "path") stuck-en (def.sng, of "stucco") ( c) steg-en ( def, pl, of "step") skott-en (def,pl. of "shot") (d) Hagen (e,g, famly name) back-en (def,sng, of "crate") tagen (past,part, of taga= "to take") tacken (solemn mperatve of 2nd pers, pl. of tacka = "to thank") stgen (past,part, of stga= "to rse") stucken (past,part, of stcka= "to stck") stege-n (def,sng, of "ladder"} skotte-n (def,sng. of "Scotsman") hage-n ( def, sng, of "grove") backe-n (def,sng. of "hll") The four sets of testwords contan the followng structural (ssgmental) varatons; frstly betwsen the par wth long vowel and that wth short vowel, secondly between the four sets themselves, The dfference of vocedness of the medal consonant followng long and short vowel respectvsly, however, s bult nto the materal and common to the four sets, The feature of vocedness of the follwong consonant s not expected to affect the f of the precsdng vowel (Lehste and Peterson 1961), n LBfqvst's data (1973), however, there seems to be such an effect on the f peaks but ths rasng or lowerng effect s not consstent, not even for the two speakers ( 1 and 3) of the same dalect (Skåne). n set (a) the par wth long vowels s segmsntally and phonemcally dentcal to that wth short vowels, but there s an allophonc dfference of vowel qualty between the long and the short vowel, n PA symbols [cz.,] and [a] respectvely, Ths dfference of vowel qualty s also found n Erkson's and Alstermark's nonsense materal,

4 4 The pars n set (b) dffer n the phonemc vowel qualty, (, vs 1,J.), those n set (c) dffer n the phonemc vowel qualty (e vs o) and n consonantal contm<t, ( The long vowel s preceded by a dental ar 1u followed by a velar stop, and vce versa for the short vowel,) The pars of set (d), fnally, show the same allopho~c dfference n vowel qualty as set (a), both contanng the vowel phonemea, but the ntal consonants dffer. Vowel qualty affects f (Lehste and Peterson 1961), open vowels havng the lowest f, close vowels the hghest, Between the four sets there s also a dfference as to the number of ntal consonants, Sets (a) and (d) ars alke n havng one sngle ntal consonant, whereas n sets (b) and (c) the stressed vowel s preceded by an ntal consonant cluster consstng of s and the unasprated voceless stops t and k respectvely, Accordng to Rapp (1971) the number of prevocalc ntal consonants does not seem to affect the f of the followng vowel,. nformants Dur materal s derved from seven speakers representng several Swedsh dalects: 1. MV, Malmö 2. EW, Helsngborg 3. EH, Stockholm 4. LGP, Nybro, 5. BO, Järnshög, 6, BS, Jönköpng, 7. JT, Ryd, female, 2 years old l l 32 2 male 23 female, 19 l 21 male 28 l l l l l l l l l l l l The geographcal dstrbuton of the dalcets nvestgated s shown n fgure 2, Each nformant's speech s typcal of the local area, V, R ecordngs The testwords were embedded n the carrer sentence: Jag sa där ( sad there), The test sentences were spoken wth prmary stress on the test words uttered as answers to the queston: "What dd you do there?'', Each testword was repeated seven tmes wth a fallng sentence ntonaton and the tems n each set were presented n the followng order: long vowel accent 1, long vowel accent 2, short vowel accent 1,

5 5 short vowel accent 2, The sentences were spoken at approxmately the same rate and wth a tempo most convenent to each speaker, The test sentences were recorded on a Studer A 62 tape recorder, speed 7,5 ps, n the sound-proof room of the Phonetcs laboratory, The mcrophone was a Sennheser MO 421 placed about 15 cms from the speaker, As a buffer the nformants produced the quadruplet Polen - pollen (c'.ccent 1) and pålen - pållen (accent 2), all four words dfferng n spellng, The buffer was not analysed, V, Analyss The productons of the four sets of testwords were analysed va a FONEMA analyss assembly anda Fr~kjaer-Jensen ntensty meter yeldng a duplex oscllogram, af O curve and an ntensty curve, all three wrtten out on a Phlps Oscllomnk, paper speed 1 mms~c. Duraton was calbrated contnuously by a tme marker ( 1 msec), F was calo brated for each speaker from a test tape, Fve repettons of each testword were selected for measurement, The begnnng and thb end of the stressed vowel segments were marked on the duplex oscllogram and on the f curve, The f curve durng the vowel segment was drawn to connect the end ponts of the sweep oscllatons, n a few cases the curve was smoothed, Consequently the f curves to be measured do not contan any artculatory rpple, For measurements of f we chose a number of ponts along the contour, The begnnng (frst vocal cord vbraton) and the end (begnnng of the occluson of the stop), were taken for every stressed vowel segment, n order to catch the relevant features of the f contours between the begnnng and the end thus defned we determned those ponts along the curve where t showed a marked change of drecton, These ponts are: ( 1) a f maxmum or peak, from rsa to fall, (2) a f mnmum or dp, rsa, defned as the turnng pont of the curve the turnng pont of the curve from fall to (3) a pont where the contour shows a consderable change of rate, (4) the begnnng and the end of a level porton or plateau of the curve, turnng ponts from fall or rse to level, and from level to fall or rse respectvely,

6 6 The procedure for quantzaton s. llustrated n fgure 3, An example of an observed f tracng s gven to the left, Upon t the ponts chosen for measurng f ond thgr projecton upon thr t- mr Ax-,c, RY'B ndcated. To the rght s shown the result, a smplfed f contour contanng all essental nformaton of the contour, Fgure 3, Procedure for quantzaton of the f contours, f tracng smplfed f contour f f,'~ _...,, > t Gven the smplfed curves n our fgures one can easly nfer from the f tracngs of accent 1 and accent 2 of tagen and tacken for each nformant (tables 2-8 below) the characterstcs of the real f contours n each testword, The number of the ntermedate ponts vares from O to 3, Therefore, the smplfed f contours n the dagrams are determned by 2 to 5 ponts of measurements, Ther locaton along the tme axs was measured as well as the segment duratons, Ouratons are measured to the nearest 1 msec and f frequences to the nearest 1 Hz, The arthmetc means are rounded to the half of the nterval of measurement (5 msec and 5Hz respectvely}, The range of measured f frequences and duratons wthn each seres of fve repeto tons was relatvely small, Therefore the arthmetc means may be consdered relable, Offerences of 5.m3ec or 5 Hz n the data should not be consdered relevant,

7 7 V, Results Tables 2-8 gve the arthmetc means of the f frequences measured at the begnnng and at the end of the stressad vowel segments and at the ntervenng ponts, together wth the mean duratons of these ponts from the begnnng of the segment, The f contours of the four sets of testwords for each nformant are dagrammed schematcally n fgures 4-8, 1, and 12, The dagrams of the left-hand column pertan to accent 1, those to the rght to accent 2, The dagrams represent the followng sets of testwords from top to bottom: (a) tagen, tacken, (b) stgen, stucken, (c) stegen, skotten, (d) hagen, backen, Vowel duratons are normalzed so that all the long vowel segments are gven the same length n the fgures. Accordngly the short vowel length ndcates the duraton of the short vowel relatve to the correspondng long one, Thus t may be seen that the nformants shorten the vowel segments toa dfferent degree, The locatons of the ponts representng f measurements are proportonal to ther duratons from the begnnng of the segments, Below each table (2-8) the optmal f contours (one repetton of the long vowel par 'tagen - 'tagen and the short 'tacken - 'tacken) for accent 1 and accent 2 of each nformant are gven as tracngs from the oscllograms. Wth ther ad correct f of the schematzed, contour can be nferred from each Lke Erkson and Alstermark, we use the contours of the long vowels as the reference when comparng the contours of the long and the short vowels, Ths does not mply any causal relatonshp, t would be equally reasonable to relate a comparson to the short vowels, (a) The shortenng of the stressad vowel The degree of shortenng of vowel duraton from long vowel to short vowel vares among the speakers, The arthmetc means of the stressed vowel segment duratons of the four testwords, the relatve duraton of the short vowel as a percentage of the correspondng long one (the vowel rato VV:), and the dfference n~ are gven n table 1,

8 8 Tabls 1, Segment duratons, vowsl ratos and dffsrsncs of vowsl ratos bstwssn accent 1 and accent 2, Accent 1 Accent 2 Dffer- ence MEAN MEAN OURATON VV: OURATDN VV: Vv: ' msec mssc o LONG SHO:=lT oo LONG SHORT o 1 MALMÖ ' , HELSNGBORG , STOCKHOLM , NYBRO , JÄMSHÖG [) 8 6, JÖNKÖPNG , RYD L : t s found that the~duraton of the short vowel of accent 1 relatve to the long ons s always largerthan thet of ths short vowsl of accent 2 n spte of the dffersnces n vowel ty. Thus t sssms that ths strsssed vowel segment of accent 2 s shortened more than that of accent 1. The sams rslatonshp s founj for ers 1 from Skåne and 2 from Västergötland n Löfqvst ( 1973). ( b) E, contours 1. MALMÖ (MV, Tabls 2, Fgure 4) Manfestaton n ths long vowsls The f curve of accent 1 falls most of the long vowel ssg~snt, preceded by a short rse n three tes but not n 'stegen, n 'stgen, ths other testword bsgnn tr1e st--clustsr, ths ntal rse of only 5 Hz mght also be looked uoon as a plateau, t s consdsrably hgher n 'tagen (2 Hz) and 'Hagen (4 Hz). Accent 2 hasa manly rsng contour wth a short fall durng the fnal quartsr of the stressed vowel segment, n 'stgen, howevsr, ths contour

9 9 dd not rse mmedately at the begnnng of the vowel but stayed at the ntal low level for about 17 ~ (35 msec) of the segment, The appearance of ths ntal plateau seems to be a consequence of the larger duraton (21 msec or about 25 ~) of the segment compared to the duraton of the long vowel e (17 msec) n 'stegen. ncreased vowel duraton due toa slower speakng rate makes a low level contour precede the rse of accent 2 n ths dalect, The rse s delayed (Gösta Bruce, personal communcaton). Vowel shortenng The short vowel segments dsplay the most characterstc features of the long vowels, that sa fallng f n accent 1, a rsng f n accent 2. But the short f curves dffer from the long ones n one man respect. Mnor varatons apart, the fnal portons of the long vowel contours of both accents are mssng n the short vowels, They are truncated, 2, HELSNGBORG (EW, Table 3, Fgurs 5) Manfestaton n the long vowels Ths speaker belongs to the same dalect as the Malmö nformant, The f contour of the tonal accents of both speakers are very smlar n shape, The curve of accent 1 falls throughout the long vowel segment from an ntal hgh level for ths speaker, ndependent of ntal consonants, The f contour of accent 2 s characterzed by a rse preceded by a rather s~ort and slght ntal fall and followed by a fnal fall, The f n the long and short vowels of accent 2 started from approxmately the same frequency, whereas ths was the case for only two test pars for accent 1, vz, 'stgen - 'stucken, and 'Hagen - 'backen, Vowel shortenng When vowel durston s decreased radcally the shape of the long vowel contour s retaned n the short vowel segments, But agan, several mnor changes are observed 1 The short vowel contours of accent 1 start wth a short rse whle for the long vowels they are level at the begnnng, The peaks are ether hgher than the hgh level pf the long vowel contour ('stucken), lower

10 1 ('skotten) or at the same level ('tacken, 'backen). After the peak the short vowel contours fall more rapdly than for the correspondng long vowels, representng nstances or rate adju::: Lrner L B::: l::: U re:: Llt!:::t::: wl Ur the ntal rsa. Thus the short contours are totally reorganzed ( compressed). Compresson s also found n the short vowel contours of accent 2. The complete shape of the long v~wel contours (slght ntal fall or level, rsa, fall or level) s preserved, except for the absence of the ntal fall n 'skotten whch may be due to the dfferent place of artculaton of the precedng stop, The short vowel contours rsa more rapdly than for the long vowels, The peaks of the short vowel contours are lower n 'tacken and at about the same level n 'stucken, 'skotten, and 'backen. Comparng ths nformant's changes wth those of the Malmö speaker, we fnd one man dfference, The short vowel contours of the Malmö speaker for both accents represent manly a truncaton of the fnal part of the long vowel contours, whereas the complete shape of the long vowel contours of the Helsngborg nformant s preserved but compressed n the short vowels. Thus we fnd that two speakers of the same local dalect use dfferent means for manfestng the tonal accents n short vowels followed by a voceless consonant. 3. STOCKHOLM (EH, Table 4, Fgure 6) Manfestaton n the long vowels The f curve of accent 1 of the long vowel s characterzed by a rse whch, except for 'Hagen, s rather slght whle n 'stgen and ~stegen the contour ends n a plateau, The short rse of accent 2 seen n 'tagen and 'hagen s mssng n 'stgen and 'stegen, whch mght be due to the ntal consonant cluster. Otherwse the long vowel of acgent 2 shows a fallng f throughout the vowel segment, Vowel shortenng The characterstc pattern of the long vowel f curves of the tonal accents s preserved n the short vowel segments, The short vowels of accent 1 are

11 11 characterzed by a manly rsng contour, those of accent 2 by a menly fallng one, The fnal parts of the long vowel contours of both accents are truncated. The rsng-fallng pattern of 'tagen appears also n 'tacken, but n 'backen there s no rse, the f contour fallng througho out the short vowel segment as t s n 'stucken and 'skotten, whch begn w th a consonant clust Er, Bes des the truncaton of the fnal parts the short vowel f curves of both accents are shfted upwards along the freo quency axs by about 2 Hz n most cases, These consderable frequency shfts of the short vowel contours do not seem to be a consequence of dfferences n segmental structure between the four sets of test words because they appear n all of them, The frequency-shfted short vowel contours may be due to the vocelessness of the followng consonant or to the phonologcally short vowel or both. 4, NYBRO(LGP, Tabfa 5, Fgurs 7) Manfestaton n the long vowel Accent 1 s manfested as an ntal fall towards about one thrd of the long vowel segment followed by a rss durng the remanng part of the vowel segment, thus dsplayng af mnmum n the frst half of the vowel. Accent 2, on the contrary, hasa f maxmum at the begnnng of ths vowel, n 'stgen and 'hagen manfssted as a plateau, although the part of the segment s characterzed by a fall, Vowel shortenng When vowel duratons are decreased by about 5 %, the remanng short vowel contours, n general, preservs the man pattern of the long ones, t s notabla, however, that for ths nformant the asymmetrcal consonant context of the stegen - skotten pc;tr does not change the shape of the contours. The changes n the short vowel contours of ths nformant are rather dffcult to nterpret, n 'backen the contour ssems to ~B compressed although t döss not rss mors rapdly, The remanng thrss short vowsl contours of accent ars truncated because the f mnmum appears at about ths same pont of

12 12 tme as n the long vowel contours. The long fnal rse of the long vowel contours s consderably shorter n the short ones ndcatng that the fnal rart nf thr r.se s truncated. All the short vowel contours of accent 2 show some knd of reorganzaton. n 'stucken and 'skotten the curves of the short vowels are compressed, Both short [a] vowels have smlar contours. They share one feature, namely the fall, wth the other two contours, As t s steeper n 'tacken and 'backen than n ther correspondng long vowels, even these curves may be counted as nstances of compresson. 5, JÄMSHÖG (BO, Table 6, Fgure B) Manfestaton n the long vowels The f manfestatons of both tonal accents n the long stressed vowels of ths nformant show a rather smlar contour: a fall at the very begnnng anda rse whch s longer n accent 1 than n accent 2, But whereas accent 2 always hasa rather long and consderable fall (about 3 Hz) from the f peak to the segment boundary, ths fall s only slght or nonexstent n accent 1. Vowel shortenng When vowel duraton s decreased the short vowel f contours of both accents end wth af maxmum, n general, the short vowel segments of both accents are characterzed by a rsng contour, and n most cases the bref ntal fall s preserved, The fnal fallng parts of the long vowel contours of both accents never reman, they are truncated. Thus the f manfestatons of the tonal accents n the stressed vowels become rather smlar to each other, There are, however, some dfferences between the remanng short vowel contours of accent 1 and 2, The short vowel contours of accent 1 end mostly at a hgher frequency level than the correspondng ones of accent 2, Furthermore, the f dfference beo tween the fnal f and the f mnmum s larger n the short accent words than n the correspondng words of accent 2, The rsng rate s hgher n all short accent 1 words than n the correspondng ones of accent 2, except for 'backen. The correct manfestatons of the tonal accents n the mnmal tonal

13 13 par 'backen and 'backen by the nformant were checked perceptually by the nformant herself some weeks after the recordngs had been mads and also by a traned phonetcan (GB) of our laboratory, t s true that the perceptual dfference between accent 1 and accent 2 n ths testpar and for ths speaker s rather small. The f values of backen were then measured on narrow-band spectrograms mads on a Voce Prnt PV 1, The f was measured at the begnnng, the mnmum, and the fnal maxmum n the 4th and 5th partals and caltulated to the nearest 5 Hz, takng the mean of both f necessary, n the case of backen we fnd t necessary to consder brefly the contour of the second (and fnal) syllable of the testwords as well, For the.jämshög speaker f tracngs of hagen and backen from the oscllograms are gven n Fgure 9, t wll be seen that for ths nformant the hgh f level of the second syllable of accent 1 s preserved n the testword wth the.short vowel whle the rse of accent 2 s changed nta a more level contour, 6, JÖNKÖPNG (BS, Table 7, Fgurs 1) Manfestaton n the long vowels The nformant 1 s accent 1 s manfested n the long vowels as af fall durng at least the frst half of the vowel, an f mnmum, anda fnal, slght rse towards the segment boundary. n 'tagen and 'Hagen, both wth the vowel a, the fall s preceded by a short rse by 15 Hz, The f contour of accent 2, startng from about the same frequency level as accent 1, remans at ths hgh level or rses slowly towards the mddle of the vowel and falls towards the end of the vowel segment, Vowel shortenng 1, tacken, stucken, and skotten When the vowel duraton s decreased the fall of accent 1 and the hgh frequency level of accent 2 are preserved on the whole, The fnal part of the long vowel contours are truncated, But some slght varatons may be note~. The short vol\81 curve of accent 1 n 'stucken s merely cut off at the segment boundary. n 'tacken the fall of f domnates the vowel after the short rse at the very begnnng, But the f curve falls more

14 14 rapdly than n the long vowel. Towards the segment boundary the rapd fall s slowed down as s the case n 'skotten. But here the f ths sams rats as n the correspondng long vowel,.. falls at 2. backen The contours of the short [a] vowel of backen of both accents devate totally from the short vowel contours of the other three testwords whch show a smlar overall pattern, The correct performance of the tonal accents n 'backen and 'backen was checked perceptually same months later, Narrow band spectrograms and measurements were mads of all productons, as for the Järnshög nformant. As to segment duratons, the short [a] vowels do not devate from the short vowel segments of the other testwords (ses Table 7). They ars not sven the shortest segments, The mast pertn~nt dfference between the short vowel contours of accent 1 and 2 n backen les n the steeper rse and n the fnal fall of the contour of accent 2, n the case of backen we fnd t necessary to consder brefly the contour of the second (and fnal) syllable of the testwords as well. Fgurs 11 gves the f oscllogram tracngs of one representatve producton each of hagen and backen for both accents, t can be seen that the f contour of the second syllable of accent has changed, too, The rsa of the second syllable of 'Hagen has become a hgh level, The pattern of the f contour of the second syllable of 'hagen and 'backen ~~s not changed, however, remanng rsng sven after the short vowel followed by the voceless medal stop, 7, RYD (JT, Taole B, Fgurs '12) Manfestaton n the long vowels Accent 1 s manfested as a fallng f reachng ts lowest level n the second half of the long vowel, n 'stgen as late as at the segment boundary. The contour of accent 2, unlke accent 1, rses, after an ntal short fall n 'tagen and 'steg~, towards a f maxmum at about the mddle of the long vowel segment, t then falls durng the second half, reachng

15 15 the same low frequency level at the segment boundary as the correspondng curve of accent 1. j Vowel shortenng When vowel duraton s decreased the fnal parts of the long vowel contours of both accents are mssng n all cases but one (~stucken). Apart from the truncated long vowel fall of accent 2, the remanng short vowel contours, except For ~stucken, are compressed resultng n a steeper rse, ( c) Conclusons To sum up we wll attempt n the followng table to characterze the man change n the short vowel contours compared to the long ones for each nformant and for each accent, Table 9. Man ch'anges n the short contours. Accsnt! Fgure rrformants and place MV, Malmö Truncaton Truncaton 5 EW, Helsngborg Compresson Compresson 6 EH, Stockholm Truncaton Truncator 7 LGP, Nybro Truncaton Compresson 8 BO, Järnshög Truncaton Truncaton 1 BS, Jönköpng Truncaton Truncaton 12 JT, Ryd Truncatqn Truncaton Compresson Table 9 suggests that the short contours of our seven nformants are derved from th~~long ones by the prncples of truncaton n most cases and by compresson n a few cases rrespectve of the shape of the f contours of the word accents, Wthn the same dalect speakers can dffer n the knd of change observed, Furthermore, a speaker may show truncaton n one accent and

16 16 compresson n the other, Both prncples may be combned wthn one accent, V, Dscusson The alternaton of voced stop versus voceless stop n the testpars was bult nta the materal on the assumpton that a followng consonant does not affect the f contour of a precedng vowel (Mohr 1971, Leandersson and Lndblom 1971), An nvestgaton of the effect of the segmental context on a gven f contour of a Gothenburg male nformant was carred out at the laboratory. t reveals very clearly that the whole f curve of accent 2, a rsng-fallng pattern (the peak beng located at a pont about one thrd from the begnnng of the vowel segment), s rased consderably, by about 2 Hz, before a voceless stop compared wth a nasal, and somewhat less compared wth the correspondng voced stop, The f contour of accent 1, however, whch falls tr,ro ughout the vowel, appears not to be affected by the dfferent Features of the followng consonants m, b, p. Partly contradctory evdence s repo~ted n Löfqvst (1973), That s why we do not want to gve attenton to the frequency-shfted short vowel contours found wth same of the nformants. t s temptng to assocate the f rasng n short vowels, before voceless stops, and n fast speech (Gårdng etal., 1975) wth one common mechansm: a greater tenson of the muscles of the vocal organs. Apart from mnor varatons, t seems that for the whole materal of our seven nformants the short vowel contour of the frst, stressed vowel are acheved by two man strateges or programmes: ( 1 ) Certan partc of the f contours are not manfested, They are truno cated, The remanng parts of the contours of both accents may (a) stll be dfferent from each other or (b) they may resemble each other, (2) The complete shape of the contour s compressed, Therefore the curve has to rse or fall more quckly (rate adjustment). n general, we only fnd support for the two hypotheses dscussed by Erkson and Alstermark (1972), We agree wth them n callng the one effect of vowel duraton on the f of Swedsh word accent for truncao ~' but we prefer to call the other effect for compresson whch sa more general term for coverng that change than s rate adjustment, A

17 17 comprsssed contour must bs producsd wth an ncrsassd speed for the rsa or the fall, although the absolute values of the f mnma of the long contours nesd not be reachsd, maxma or f As to thsse tonal accents ssvsral lngusts (s,g, Elsrt 197, 46 and rsfersncss there) hold that thsre s only ons phonsmcally relevant tonal accent, namsly accent 2, t s manfssted n the frst stressad syllable and s followsd by a contour smlar to that of accent 1 (e,g, Gårdng 197, Gårdng and Lndblad 1973), whch s consdersd to be the manfestaton of the sentsncs ntonaton, The data of Alstermark and Erkson (1971) support ths assumpton as does Brucs (1974). Ha ponts out that ths frst syllabls of accent 2 n the Stockholm dalsct may bs a manfestaton of ths "pura" accent 2 and that ths "pure" accent 1 s not rsalzsd n sentsncs strsssed poston whsrs the f dstsrmned by the ssntsnce ntonaton nstsad, contour s Thus t sssms that shortsnng of the vowsl of ths frst syllabls n an accent 2 word msrsly affscts the tonal accent whls t changss ths ssntsncs ntonaton contour n accent 1, A dsvatng contour s found n one of ths short vowe1s of ths Jönköpng nformant: the short vowel contour of 'backen shows a rse 1 J unlke the fallng f curves n all the other testwords, As the f curves of 'backen are characterzed by a rse, the short vowel contours of both accents n t~s stressad vowel havs become very smlar, And yet, the tonal contrast n these two word s preserved, ths tonal dffsrence beng sgnalled n the second syllable, The observed changes n all the testpars of the J mshög nformant and the radcal r~organzaton of the short vowel f contour of the Jönköpng nformant result n dmnshng the tonal contrast n the frst syllable, A decrease of a gven contrast or the neutralzaton of a gven dstncton are often found n segmental phonology. But as the doman of the tonal accent 2 sat least a bsyllabc word, the second syllable (or another followng syllable dependng on the stress and acce~tuaton rules of the dalect, ses Bruce 1974) wll be avalable for the accent manfestaton f there s no neutralzaton due to the deleton of stress, At least one nstance of radcal devaton and the resultng smlarty of the short vowel contours n the frst syllable, as well as other reasons, motvate a study of not only the f. curvss of one syllable but

18 18 also those of the whole word (consstng of at least two syllables) n further nvestgatons, References Alstermark M, and Y, Erkson Swedsh word accent as a functon of word length, STL-QPSR 1, 1-13 Bredvad-Jensen A.-C An empty space on the map, Phonetc Laboratory, L'und Unvers ty. Workng Papers 9, Bruce G, 1974, Tonaccenter och satsbetonng, nsttutonen för lngvstk, Lunds unverstet, Lngvstska månadsmeddelanden, Februar Elert C.-C. 197, Ljud och ord svenskan. Uppsala Elert C,-C, 1972, Tonalty n Swedsh: Rules anda lst of mnmal pars, Studes for Enar Haugen, Scherabon Frchow et al. (ed,}, 15,1-173, The Hague Erkson Y. and M, Alstermark, 1972, Fundamental frequency correlates of the grave word accent n Swedsh: The effect of vowel duraton, STL-QPSR 2-3, 5~-6 Gårdng E. 197, Word tones and larynx muscles, Phonetcs Laboratory, Lund Unversty, Workng Papers 3, 2-46 Gårdng E, and P, Lndblad, Constancy and varaton n Swedsh word accent patterns; Phonetcs Laboratory, Lund Unversty. Workng Papers 7, Gårdng E., R. Bannert, A.-C, Bredvad-Jensen, G, Bruce, and K. Naucl~r. 1974, Talar skånngarna svenska? Åttonde sammankomsten för svenskans beskrvnng, Lund Gårdng E.,, Fujmura, H, Hrose and z. Smada, 1975, Laryngeal control of Swedsh word accents, Phonetcs Laboratory, Lund Unversty. Workng Papers 1, Haddng-Koch K, 1961, Acoustco-phonetc studes n the ntonaton of Southern Swedsh, Traveaux de l'nsttut de Phonetque de Lund, 8, Malmberg (ed,), Lund

19 ~eanderson R. and B. Lndblom, 1972, Muscle actvaton for labals gestures, Acta Otolaryng, 73, Lehste. and G. Peterson, 1951, Same basc consderatons n the analyss of ntonaton. JASA 33, L6fqvst A On ntrnsc and extrnsc F varatons. n Swedsh tonal accents. nsttutonen far lngvstk, Lunds unverstet, Lngvstska månadsmeddelanden, Oktober, 1-16 Malmberg B. 1953, Sydsvensk ordaccent, en expermentalfonetsk undersbk- nng. Lunds Unverstets Årsskrft, NF Av, 1, Bd. 49, Nr 2, 3-35 Malmberg B, 1955 Observatons on the Swedsh Word Accent, Haskns Laboratores, Report, Mmeographed Meyer E,A, Oe ntonaton m Schwedschen, : Oe Sveamundarten, Studes Scand. Phlol, Nr 1, Unv, Stockholm Meyer E. A Oe ntonaton m Schwedschen, : De norrländschc11 Mundarten, Studes Scand, Nr 11, Unv, Stockholm Mohr B. 1971, ntrnsc varatons n the speech sgnal, Phonetca Öhman S, 1965, On the coordnaton of artculatory and phonatory actvty n the producton of Swedsh tonal accents, STL-QPSR Öhman S, Word and sentence ntonaton: A quanttatve model, STL-QPSR 2-3, 2-54 Rapp K. 1971, A study of syllable tmng, STL-QPSR 1, 14-19

20 --,,..--"\- Västergötland JÖNKÖPNG \ ( \ \ \,.,; -) \.~:~" J.-,> -;~ -,J "'.). \:,- \ l \ L~ _...,..,.. ~\ ( ~ Småland! HELSNGBORG \ f _,r'-~. - " f. RYD_.. \a JÄMSHÖG. ) \ Bleknge '.;,...,~ NYBRO \;.... 'Q\ ; l MALMÖ Skåne ( Fgurs 2. The geographcal dstrbuton of the nformants,

21 Table 2. MALwj 21 F valu s (n Hz) and duratons (n meec). Accent 1 Accent 2 jtagen f o t : tacken f o t : stgen f : t : stucken fo: t : stegen f : ! t : skotten f o t : ~agen f : t : backen f : t : F tracngs of tagen and tacken, accent 1 to the left, accent 2 to the rght. Malmö. 3 n..j.'.<.j { d C",;;_. ""' '! r-- --r.,.r..., tn S - -,-

22 22 Hz ACCENT 1 ACCENT 2,,, tagen tacken 3 25 stgen stucken stegen skotten 2 hagen backen Fgurs 4. Smplfsd f contours of ths frst vowsl segment. MALMÖ D The duraton of ths long vowsls s normalzsd. Dashsd lns: short vowsl

23 Table 3. HELSNGBORG F values (n Hz) and duratons (n msec). 23 Accent 1 Accent 2 tagen f : t : tacken f : t : stgen f o' t : stucken f : t : stegen f : o t : skotten f : t : hagen f : t : !backen ; f : ' t : Fa tracngs af tagen and tacken, accent 1 to the left, accent 2 ta the rght, Helsngborg.... '..,...,..,,..-,'- _._... ~-- ~ E.. h

24 Hz ACCENT 1 ACCENT 2 24 tagen! -t r , \ tacken -; l _, 1 ' J 24 ~ -~, 2 16 "'' ' " "', stgen stucken,,--.., -1 ~ '\ \ \ '\ stegen skotten -,: 16 2 ~ hagen backen. 16El -- Fgure 5. Smplfed f contours of the frst vowel segment, HELSNGBORG The duraton of the long vowels s normalzed. Dashed lne: short vowel

25 Table 4. STOCKHOLM F values (n Hz) and duratons (n msec). 25 Accent 1 Accent 2 tagen f o: t : 24 : 5 26!tacken fo: ! t : jstgen f. o t : :stucken f o t : 8 65 stegen f : t : skotten f. o' t : 9 o 8 hagen f ; o t : backen ' f ! o t F tracngs af tagen and tacken, accent 1 ta the left, accent 2 ta the rght. Stockholm. t oo! ~ -- r-...,---~- -r---r- - -, sn cl k 5 ms

26 26 Hz. ACCENT 1 ACCENT 2 tagen tacken 2, stgen stucken 2j ~ 25 -j-..l stegen J 2L skotten ~ ~ 25j ~,,' ~-- hagen backen ~ 2~L Fgurs 6. Smplf~d f contours of the frst vowel segment, STOCKHOLM The duraton of the long vowels s normalzed, Dashed lne: short vowel

27 Table 5. NYBRO F valums (n Hz) and duratons (n msec). Accent 1 Accent 2 tfl,gen f : t : rta.cken f : t : Ptgen f : t : stucken f : t : stegen f : t : skotten f : t : hagen f : t : !backen f : , : t : ; : F tracngs of tag~n and tacken, accent 1 to the left, accent 2 ta the rght. Nybro. lz: to~ ( ~6~ " l '. ' ' +-.". t L...,,, j ' 1 k C n r r...,... k n "} f '~

28 28 Hz 1 ~ 16 -j ' ; ' ACCENT _.,,,,,.,.,,-,"'"',~r tagen tacken ACCENT 2-8 l 16 ; '""! l stgen stucken , stegen skotten l 1 1:---, '. - -.:-::::,..,,...'--:--..;; BO.,.,, ! 16 -, 12 hagen backen 1 ~ ~ Fgure 7. Smplfed f contours of the frst vowel segment. NYBRO The duraton of the long vowels s normalzed. Dashed lne: short vowel

29 Table 6. JÄM~H(jG F values (n Hz) and duratons (n asec). 29 Accent 1 Accent 2!tagen f : t : !tacken f : t : ~tgen f : t : stucken f : t : stegen fo: skotten f : Q t : ' t : nagen f o ! t : J(;lcken j f.y: t : :o 25 1.!lmeasured on narrow--band sonagrams F tracngs of tagen and tacken, accent 1 to the left, accent 2 to the rght. Järnshög. 2.oo ~ t <) c 'n t C\.. <), Y\. 3oo 2..oo k (. )l : d k

30 3, Hz L_j.ACCENT 1 ACCENT 2 tagen tacken 2 25 stgen stucken 2~ 25 stegen skotten 2 """ ~ 1\ 1.., ~"' ~ ~ 21 v..-~ hagen backen Fgure 8. Smplfed f contours of the frst vowel segment.jämshög D The duraton of the long vowels s normalzed. Oashed lne: short vowel

31 1 ~,n ol ~ -h,_~ E. )\ J...!. Fgure 9. F tracngs of hagen (above) and backen (below), accent 1 to the left, accent 2 to the rght. D Järn nformant 5 -ms GJ Accent 1 Accent 2 H2!:f:>o 2c)O l hl l 1! L Q ~ ~ ~)'\ ol t 3oo.2oo h Q. 3 2 a k k E'n ol E. 3 2 b a k

32 32 Table 7. JÖNKaPNG F values (n Hz) and duratons (n msec). Accent 1 ; Accent 2 tagen tacken stgen stucken stegen!skotten hagen! backen ' f : t : f o t : f : t : f. o' t : f : t : f. o',t..t \ s ' ~measured on narrow--band sonagrams F tracngs of tagen and tacken, accent 1 to the left, accent 2 to the rght. Jönköpng. (\ c. n! 1 ~J l f\ -l a S.h 5 m. t a L \'\ -r-. 5. \'"T\ s

33 Table 6. JPJASHÖG tagen F values (n Hz) and duratons (n meec). Accent 1 Accent 2 f o t : (tacken f : t : stgen f : t : stucken f : t : s tegen f. o t : skotten f : Q! t : hagen f : t : oacken. f11: t : !lmeasured o~ narrow--band sonagrams F tracngs of tagen and tacken, accent 1 to the left, accent 2 to the rght. Järnshög. 2.oo t -- <) c 'n --- t C\._ ~ c:. '"\ 3co k C )'l : d k

34 3, Hz L_J.ACCENT 1 ACCENT 2 tagen tacken 2 25 stgen stucken 2 25 stegen skotten hagen backen Fgure 8. Smplfed f contours of the frst vowel segment.jämshög The duraton of the long vowels s normalzed. Dashed lne: short vowel

35 'l r ~n ol ~ ~ <. 'l'.... ~ 5 Yn$ GJ Accent 1 Accent 2 H2 3oo 2<X>! hl!! L -CL ~ ej ~''\. ol. 3oo.2oo h... 3-:j 2-'{.._, _ k 3 2o bl a l 1 k E. )'\ ol. b a k Soo 1T\ s Fgure 9. F tracngs of hagen (above) and backen (below), accent Jämshög nformant to the left, accent 2 to the rght.

36 32 Table 7. JÖNKÖPNG F values (n Hz) and duratons (n msec). Accent 1 Accent 2 tagen f : t : :tacken stgen stucken stegen skotten ~agen!! backen f o t : f. o' t : f. o t : f. o t : f. o',t..t J measured on narrow--band sonagrams ! l l! 2! 245 ' ! ! F tracngs af tagen and tacken, accent 1 to the left, accent 2 to the rght. Jönköpng. \h: C\ c. n! 1 c... n ~J l {\ -t- a ' s. 'r\ 5 m11, t a LY\.- '5 rns

37 33 Hz ACCENT 1 ACCENT \ \ \ ' ' tagen tacken stgen stucken 2 stegen skotten hagen backen ~' ~ ',,~'-, 1 '~...,,_, Fgurs 1. Smplfed f contours of the frst vowel segment. Jcnkcpng The duraton of the lon~ vowels s normalzed.

38 5 ~, LY\ J.. '111 Fgure 11. F tracngs of hagen (above) and backen (below), accent 1 to the left, accent 2 to the rght. Jönköpng nformant f._ (;J.:::, Accent 1 Accent 2 Hz. 3oo ~ ~~ ~ la... d En. ol ~ hl... d ~ too ~~ b a.. k ~'\ ct.. bl a k

39 Ta.ble 8. RYD 35 F values (n Hz) and duratons (n msec). Accent Accent 2 t agen tacken stgen!stucken f : t : 13 f o 16 t : f. o' 15 t : f. o' 16! t : !o ! lo stegen skotten hagen f backen f o= t : 18 f : o t : 5 f : t : 12 f : jt D F tracngs of tagen and tacken, accent 1 to the left, accent 2 to the rght. Ryd. Hz go-1 6~k, 1yJ \ 121 t a...l.... n j \, tj1 l - -1 { ~?... r.~.. T -~ - r r 5öö rns

40 36 Hz 1 18 ~ ACCENT 1 ACCENT 2 14 tagen tacken ~ ' -t ~ +--~ 14 _j - """-. ~ " stgen stucken l 1 l j ' ~ 1 1 BO stegen skotten l "" - - -' hagen backen 1 -. j -... Fgure 12. Smplfed f contours of the frst vowel segment. RYD D The duraton of the long vowels s normalzed. Oashed lne: short vowel

An Alternative Way to Measure Private Equity Performance

An Alternative Way to Measure Private Equity Performance An Alternatve Way to Measure Prvate Equty Performance Peter Todd Parlux Investment Technology LLC Summary Internal Rate of Return (IRR) s probably the most common way to measure the performance of prvate

More information

benefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ).

benefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ). REVIEW OF RISK MANAGEMENT CONCEPTS LOSS DISTRIBUTIONS AND INSURANCE Loss and nsurance: When someone s subject to the rsk of ncurrng a fnancal loss, the loss s generally modeled usng a random varable or

More information

The OC Curve of Attribute Acceptance Plans

The OC Curve of Attribute Acceptance Plans The OC Curve of Attrbute Acceptance Plans The Operatng Characterstc (OC) curve descrbes the probablty of acceptng a lot as a functon of the lot s qualty. Fgure 1 shows a typcal OC Curve. 10 8 6 4 1 3 4

More information

) of the Cell class is created containing information about events associated with the cell. Events are added to the Cell instance

) of the Cell class is created containing information about events associated with the cell. Events are added to the Cell instance Calbraton Method Instances of the Cell class (one nstance for each FMS cell) contan ADC raw data and methods assocated wth each partcular FMS cell. The calbraton method ncludes event selecton (Class Cell

More information

CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol

CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK Sample Stablty Protocol Background The Cholesterol Reference Method Laboratory Network (CRMLN) developed certfcaton protocols for total cholesterol, HDL

More information

Module 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur

Module 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur Module LOSSLESS IMAGE COMPRESSION SYSTEMS Lesson 3 Lossless Compresson: Huffman Codng Instructonal Objectves At the end of ths lesson, the students should be able to:. Defne and measure source entropy..

More information

SPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background:

SPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background: SPEE Recommended Evaluaton Practce #6 efnton of eclne Curve Parameters Background: The producton hstores of ol and gas wells can be analyzed to estmate reserves and future ol and gas producton rates and

More information

Section 5.4 Annuities, Present Value, and Amortization

Section 5.4 Annuities, Present Value, and Amortization Secton 5.4 Annutes, Present Value, and Amortzaton Present Value In Secton 5.2, we saw that the present value of A dollars at nterest rate per perod for n perods s the amount that must be deposted today

More information

Calculation of Sampling Weights

Calculation of Sampling Weights Perre Foy Statstcs Canada 4 Calculaton of Samplng Weghts 4.1 OVERVIEW The basc sample desgn used n TIMSS Populatons 1 and 2 was a two-stage stratfed cluster desgn. 1 The frst stage conssted of a sample

More information

7.5. Present Value of an Annuity. Investigate

7.5. Present Value of an Annuity. Investigate 7.5 Present Value of an Annuty Owen and Anna are approachng retrement and are puttng ther fnances n order. They have worked hard and nvested ther earnngs so that they now have a large amount of money on

More information

Answer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy

Answer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy 4.02 Quz Solutons Fall 2004 Multple-Choce Questons (30/00 ponts) Please, crcle the correct answer for each of the followng 0 multple-choce questons. For each queston, only one of the answers s correct.

More information

Linear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits

Linear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.

More information

ANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING

ANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING ANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING Matthew J. Lberatore, Department of Management and Operatons, Vllanova Unversty, Vllanova, PA 19085, 610-519-4390,

More information

The Greedy Method. Introduction. 0/1 Knapsack Problem

The Greedy Method. Introduction. 0/1 Knapsack Problem The Greedy Method Introducton We have completed data structures. We now are gong to look at algorthm desgn methods. Often we are lookng at optmzaton problems whose performance s exponental. For an optmzaton

More information

A Novel Methodology of Working Capital Management for Large. Public Constructions by Using Fuzzy S-curve Regression

A Novel Methodology of Working Capital Management for Large. Public Constructions by Using Fuzzy S-curve Regression Novel Methodology of Workng Captal Management for Large Publc Constructons by Usng Fuzzy S-curve Regresson Cheng-Wu Chen, Morrs H. L. Wang and Tng-Ya Hseh Department of Cvl Engneerng, Natonal Central Unversty,

More information

Trade Adjustment and Productivity in Large Crises. Online Appendix May 2013. Appendix A: Derivation of Equations for Productivity

Trade Adjustment and Productivity in Large Crises. Online Appendix May 2013. Appendix A: Derivation of Equations for Productivity Trade Adjustment Productvty n Large Crses Gta Gopnath Department of Economcs Harvard Unversty NBER Brent Neman Booth School of Busness Unversty of Chcago NBER Onlne Appendx May 2013 Appendx A: Dervaton

More information

Section C2: BJT Structure and Operational Modes

Section C2: BJT Structure and Operational Modes Secton 2: JT Structure and Operatonal Modes Recall that the semconductor dode s smply a pn juncton. Dependng on how the juncton s based, current may easly flow between the dode termnals (forward bas, v

More information

What is Candidate Sampling

What is Candidate Sampling What s Canddate Samplng Say we have a multclass or mult label problem where each tranng example ( x, T ) conssts of a context x a small (mult)set of target classes T out of a large unverse L of possble

More information

8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by

8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by 6 CHAPTER 8 COMPLEX VECTOR SPACES 5. Fnd the kernel of the lnear transformaton gven n Exercse 5. In Exercses 55 and 56, fnd the mage of v, for the ndcated composton, where and are gven by the followng

More information

Using Series to Analyze Financial Situations: Present Value

Using Series to Analyze Financial Situations: Present Value 2.8 Usng Seres to Analyze Fnancal Stuatons: Present Value In the prevous secton, you learned how to calculate the amount, or future value, of an ordnary smple annuty. The amount s the sum of the accumulated

More information

RESEARCH ON DUAL-SHAKER SINE VIBRATION CONTROL. Yaoqi FENG 1, Hanping QIU 1. China Academy of Space Technology (CAST) yaoqi.feng@yahoo.

RESEARCH ON DUAL-SHAKER SINE VIBRATION CONTROL. Yaoqi FENG 1, Hanping QIU 1. China Academy of Space Technology (CAST) yaoqi.feng@yahoo. ICSV4 Carns Australa 9- July, 007 RESEARCH ON DUAL-SHAKER SINE VIBRATION CONTROL Yaoq FENG, Hanpng QIU Dynamc Test Laboratory, BISEE Chna Academy of Space Technology (CAST) yaoq.feng@yahoo.com Abstract

More information

Lecture 3: Force of Interest, Real Interest Rate, Annuity

Lecture 3: Force of Interest, Real Interest Rate, Annuity Lecture 3: Force of Interest, Real Interest Rate, Annuty Goals: Study contnuous compoundng and force of nterest Dscuss real nterest rate Learn annuty-mmedate, and ts present value Study annuty-due, and

More information

Jet Engine. Figure 1 Jet engine

Jet Engine. Figure 1 Jet engine Jet Engne Prof. Dr. Mustafa Cavcar Anadolu Unversty, School of Cvl Avaton Esksehr, urkey GROSS HRUS INAKE MOMENUM DRAG NE HRUS Fgure 1 Jet engne he thrust for a turboet engne can be derved from Newton

More information

Can Auto Liability Insurance Purchases Signal Risk Attitude?

Can Auto Liability Insurance Purchases Signal Risk Attitude? Internatonal Journal of Busness and Economcs, 2011, Vol. 10, No. 2, 159-164 Can Auto Lablty Insurance Purchases Sgnal Rsk Atttude? Chu-Shu L Department of Internatonal Busness, Asa Unversty, Tawan Sheng-Chang

More information

Calculating the high frequency transmission line parameters of power cables

Calculating the high frequency transmission line parameters of power cables < ' Calculatng the hgh frequency transmsson lne parameters of power cables Authors: Dr. John Dcknson, Laboratory Servces Manager, N 0 RW E B Communcatons Mr. Peter J. Ncholson, Project Assgnment Manager,

More information

INVESTIGATION OF VEHICULAR USERS FAIRNESS IN CDMA-HDR NETWORKS

INVESTIGATION OF VEHICULAR USERS FAIRNESS IN CDMA-HDR NETWORKS 21 22 September 2007, BULGARIA 119 Proceedngs of the Internatonal Conference on Informaton Technologes (InfoTech-2007) 21 st 22 nd September 2007, Bulgara vol. 2 INVESTIGATION OF VEHICULAR USERS FAIRNESS

More information

CHAPTER 5 RELATIONSHIPS BETWEEN QUANTITATIVE VARIABLES

CHAPTER 5 RELATIONSHIPS BETWEEN QUANTITATIVE VARIABLES CHAPTER 5 RELATIONSHIPS BETWEEN QUANTITATIVE VARIABLES In ths chapter, we wll learn how to descrbe the relatonshp between two quanttatve varables. Remember (from Chapter 2) that the terms quanttatve varable

More information

Faraday's Law of Induction

Faraday's Law of Induction Introducton Faraday's Law o Inducton In ths lab, you wll study Faraday's Law o nducton usng a wand wth col whch swngs through a magnetc eld. You wll also examne converson o mechanc energy nto electrc energy

More information

Types of Injuries. (20 minutes) LEARNING OBJECTIVES MATERIALS NEEDED

Types of Injuries. (20 minutes) LEARNING OBJECTIVES MATERIALS NEEDED U N I T 3 Types of Injures (20 mnutes) PURPOSE: To help coaches learn how to recognze the man types of acute and chronc njures. LEARNING OBJECTIVES In ths unt, coaches wll learn how most njures occur,

More information

Brigid Mullany, Ph.D University of North Carolina, Charlotte

Brigid Mullany, Ph.D University of North Carolina, Charlotte Evaluaton And Comparson Of The Dfferent Standards Used To Defne The Postonal Accuracy And Repeatablty Of Numercally Controlled Machnng Center Axes Brgd Mullany, Ph.D Unversty of North Carolna, Charlotte

More information

+ + + - - This circuit than can be reduced to a planar circuit

+ + + - - This circuit than can be reduced to a planar circuit MeshCurrent Method The meshcurrent s analog of the nodeoltage method. We sole for a new set of arables, mesh currents, that automatcally satsfy KCLs. As such, meshcurrent method reduces crcut soluton to

More information

THE METHOD OF LEAST SQUARES THE METHOD OF LEAST SQUARES

THE METHOD OF LEAST SQUARES THE METHOD OF LEAST SQUARES The goal: to measure (determne) an unknown quantty x (the value of a RV X) Realsaton: n results: y 1, y 2,..., y j,..., y n, (the measured values of Y 1, Y 2,..., Y j,..., Y n ) every result s encumbered

More information

Staff Paper. Farm Savings Accounts: Examining Income Variability, Eligibility, and Benefits. Brent Gloy, Eddy LaDue, and Charles Cuykendall

Staff Paper. Farm Savings Accounts: Examining Income Variability, Eligibility, and Benefits. Brent Gloy, Eddy LaDue, and Charles Cuykendall SP 2005-02 August 2005 Staff Paper Department of Appled Economcs and Management Cornell Unversty, Ithaca, New York 14853-7801 USA Farm Savngs Accounts: Examnng Income Varablty, Elgblty, and Benefts Brent

More information

Evaluating the Effects of FUNDEF on Wages and Test Scores in Brazil *

Evaluating the Effects of FUNDEF on Wages and Test Scores in Brazil * Evaluatng the Effects of FUNDEF on Wages and Test Scores n Brazl * Naérco Menezes-Flho Elane Pazello Unversty of São Paulo Abstract In ths paper we nvestgate the effects of the 1998 reform n the fundng

More information

A Probabilistic Theory of Coherence

A Probabilistic Theory of Coherence A Probablstc Theory of Coherence BRANDEN FITELSON. The Coherence Measure C Let E be a set of n propostons E,..., E n. We seek a probablstc measure C(E) of the degree of coherence of E. Intutvely, we want

More information

Lecture 3: Annuity. Study annuities whose payments form a geometric progression or a arithmetic progression.

Lecture 3: Annuity. Study annuities whose payments form a geometric progression or a arithmetic progression. Lecture 3: Annuty Goals: Learn contnuous annuty and perpetuty. Study annutes whose payments form a geometrc progresson or a arthmetc progresson. Dscuss yeld rates. Introduce Amortzaton Suggested Textbook

More information

PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 12

PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 12 14 The Ch-squared dstrbuton PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 1 If a normal varable X, havng mean µ and varance σ, s standardsed, the new varable Z has a mean 0 and varance 1. When ths standardsed

More information

Student Performance in Online Quizzes as a Function of Time in Undergraduate Financial Management Courses

Student Performance in Online Quizzes as a Function of Time in Undergraduate Financial Management Courses Student Performance n Onlne Quzzes as a Functon of Tme n Undergraduate Fnancal Management Courses Olver Schnusenberg The Unversty of North Florda ABSTRACT An nterestng research queston n lght of recent

More information

An Evaluation of the Extended Logistic, Simple Logistic, and Gompertz Models for Forecasting Short Lifecycle Products and Services

An Evaluation of the Extended Logistic, Simple Logistic, and Gompertz Models for Forecasting Short Lifecycle Products and Services An Evaluaton of the Extended Logstc, Smple Logstc, and Gompertz Models for Forecastng Short Lfecycle Products and Servces Charles V. Trappey a,1, Hsn-yng Wu b a Professor (Management Scence), Natonal Chao

More information

Implementation of Deutsch's Algorithm Using Mathcad

Implementation of Deutsch's Algorithm Using Mathcad Implementaton of Deutsch's Algorthm Usng Mathcad Frank Roux The followng s a Mathcad mplementaton of Davd Deutsch's quantum computer prototype as presented on pages - n "Machnes, Logc and Quantum Physcs"

More information

Risk-based Fatigue Estimate of Deep Water Risers -- Course Project for EM388F: Fracture Mechanics, Spring 2008

Risk-based Fatigue Estimate of Deep Water Risers -- Course Project for EM388F: Fracture Mechanics, Spring 2008 Rsk-based Fatgue Estmate of Deep Water Rsers -- Course Project for EM388F: Fracture Mechancs, Sprng 2008 Chen Sh Department of Cvl, Archtectural, and Envronmental Engneerng The Unversty of Texas at Austn

More information

1 Example 1: Axis-aligned rectangles

1 Example 1: Axis-aligned rectangles COS 511: Theoretcal Machne Learnng Lecturer: Rob Schapre Lecture # 6 Scrbe: Aaron Schld February 21, 2013 Last class, we dscussed an analogue for Occam s Razor for nfnte hypothess spaces that, n conjuncton

More information

Analysis of Premium Liabilities for Australian Lines of Business

Analysis of Premium Liabilities for Australian Lines of Business Summary of Analyss of Premum Labltes for Australan Lnes of Busness Emly Tao Honours Research Paper, The Unversty of Melbourne Emly Tao Acknowledgements I am grateful to the Australan Prudental Regulaton

More information

HOUSEHOLDS DEBT BURDEN: AN ANALYSIS BASED ON MICROECONOMIC DATA*

HOUSEHOLDS DEBT BURDEN: AN ANALYSIS BASED ON MICROECONOMIC DATA* HOUSEHOLDS DEBT BURDEN: AN ANALYSIS BASED ON MICROECONOMIC DATA* Luísa Farnha** 1. INTRODUCTION The rapd growth n Portuguese households ndebtedness n the past few years ncreased the concerns that debt

More information

Problem Set 3. a) We are asked how people will react, if the interest rate i on bonds is negative.

Problem Set 3. a) We are asked how people will react, if the interest rate i on bonds is negative. Queston roblem Set 3 a) We are asked how people wll react, f the nterest rate on bonds s negatve. When

More information

v a 1 b 1 i, a 2 b 2 i,..., a n b n i.

v a 1 b 1 i, a 2 b 2 i,..., a n b n i. SECTION 8.4 COMPLEX VECTOR SPACES AND INNER PRODUCTS 455 8.4 COMPLEX VECTOR SPACES AND INNER PRODUCTS All the vector spaces we have studed thus far n the text are real vector spaces snce the scalars are

More information

A hybrid global optimization algorithm based on parallel chaos optimization and outlook algorithm

A hybrid global optimization algorithm based on parallel chaos optimization and outlook algorithm Avalable onlne www.ocpr.com Journal of Chemcal and Pharmaceutcal Research, 2014, 6(7):1884-1889 Research Artcle ISSN : 0975-7384 CODEN(USA) : JCPRC5 A hybrd global optmzaton algorthm based on parallel

More information

Traffic State Estimation in the Traffic Management Center of Berlin

Traffic State Estimation in the Traffic Management Center of Berlin Traffc State Estmaton n the Traffc Management Center of Berln Authors: Peter Vortsch, PTV AG, Stumpfstrasse, D-763 Karlsruhe, Germany phone ++49/72/965/35, emal peter.vortsch@ptv.de Peter Möhl, PTV AG,

More information

1. Fundamentals of probability theory 2. Emergence of communication traffic 3. Stochastic & Markovian Processes (SP & MP)

1. Fundamentals of probability theory 2. Emergence of communication traffic 3. Stochastic & Markovian Processes (SP & MP) 6.3 / -- Communcaton Networks II (Görg) SS20 -- www.comnets.un-bremen.de Communcaton Networks II Contents. Fundamentals of probablty theory 2. Emergence of communcaton traffc 3. Stochastc & Markovan Processes

More information

PERRON FROBENIUS THEOREM

PERRON FROBENIUS THEOREM PERRON FROBENIUS THEOREM R. CLARK ROBINSON Defnton. A n n matrx M wth real entres m, s called a stochastc matrx provded () all the entres m satsfy 0 m, () each of the columns sum to one, m = for all, ()

More information

Number of Levels Cumulative Annual operating Income per year construction costs costs ($) ($) ($) 1 600,000 35,000 100,000 2 2,200,000 60,000 350,000

Number of Levels Cumulative Annual operating Income per year construction costs costs ($) ($) ($) 1 600,000 35,000 100,000 2 2,200,000 60,000 350,000 Problem Set 5 Solutons 1 MIT s consderng buldng a new car park near Kendall Square. o unversty funds are avalable (overhead rates are under pressure and the new faclty would have to pay for tself from

More information

Activity Scheduling for Cost-Time Investment Optimization in Project Management

Activity Scheduling for Cost-Time Investment Optimization in Project Management PROJECT MANAGEMENT 4 th Internatonal Conference on Industral Engneerng and Industral Management XIV Congreso de Ingenería de Organzacón Donosta- San Sebastán, September 8 th -10 th 010 Actvty Schedulng

More information

On the Optimal Control of a Cascade of Hydro-Electric Power Stations

On the Optimal Control of a Cascade of Hydro-Electric Power Stations On the Optmal Control of a Cascade of Hydro-Electrc Power Statons M.C.M. Guedes a, A.F. Rbero a, G.V. Smrnov b and S. Vlela c a Department of Mathematcs, School of Scences, Unversty of Porto, Portugal;

More information

How To Calculate The Accountng Perod Of Nequalty

How To Calculate The Accountng Perod Of Nequalty Inequalty and The Accountng Perod Quentn Wodon and Shlomo Ytzha World Ban and Hebrew Unversty September Abstract Income nequalty typcally declnes wth the length of tme taen nto account for measurement.

More information

Enabling P2P One-view Multi-party Video Conferencing

Enabling P2P One-view Multi-party Video Conferencing Enablng P2P One-vew Mult-party Vdeo Conferencng Yongxang Zhao, Yong Lu, Changja Chen, and JanYn Zhang Abstract Mult-Party Vdeo Conferencng (MPVC) facltates realtme group nteracton between users. Whle P2P

More information

1.1 The University may award Higher Doctorate degrees as specified from time-to-time in UPR AS11 1.

1.1 The University may award Higher Doctorate degrees as specified from time-to-time in UPR AS11 1. HIGHER DOCTORATE DEGREES SUMMARY OF PRINCIPAL CHANGES General changes None Secton 3.2 Refer to text (Amendments to verson 03.0, UPR AS02 are shown n talcs.) 1 INTRODUCTION 1.1 The Unversty may award Hgher

More information

The Mathematical Derivation of Least Squares

The Mathematical Derivation of Least Squares Pscholog 885 Prof. Federco The Mathematcal Dervaton of Least Squares Back when the powers that e forced ou to learn matr algera and calculus, I et ou all asked ourself the age-old queston: When the hell

More information

IMPACT ANALYSIS OF A CELLULAR PHONE

IMPACT ANALYSIS OF A CELLULAR PHONE 4 th ASA & μeta Internatonal Conference IMPACT AALYSIS OF A CELLULAR PHOE We Lu, 2 Hongy L Bejng FEAonlne Engneerng Co.,Ltd. Bejng, Chna ABSTRACT Drop test smulaton plays an mportant role n nvestgatng

More information

FINANCIAL MATHEMATICS. A Practical Guide for Actuaries. and other Business Professionals

FINANCIAL MATHEMATICS. A Practical Guide for Actuaries. and other Business Professionals FINANCIAL MATHEMATICS A Practcal Gude for Actuares and other Busness Professonals Second Edton CHRIS RUCKMAN, FSA, MAAA JOE FRANCIS, FSA, MAAA, CFA Study Notes Prepared by Kevn Shand, FSA, FCIA Assstant

More information

Institute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic

Institute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic Lagrange Multplers as Quanttatve Indcators n Economcs Ivan Mezník Insttute of Informatcs, Faculty of Busness and Management, Brno Unversty of TechnologCzech Republc Abstract The quanttatve role of Lagrange

More information

THE DISTRIBUTION OF LOAN PORTFOLIO VALUE * Oldrich Alfons Vasicek

THE DISTRIBUTION OF LOAN PORTFOLIO VALUE * Oldrich Alfons Vasicek HE DISRIBUION OF LOAN PORFOLIO VALUE * Oldrch Alfons Vascek he amount of captal necessary to support a portfolo of debt securtes depends on the probablty dstrbuton of the portfolo loss. Consder a portfolo

More information

"Research Note" APPLICATION OF CHARGE SIMULATION METHOD TO ELECTRIC FIELD CALCULATION IN THE POWER CABLES *

Research Note APPLICATION OF CHARGE SIMULATION METHOD TO ELECTRIC FIELD CALCULATION IN THE POWER CABLES * Iranan Journal of Scence & Technology, Transacton B, Engneerng, ol. 30, No. B6, 789-794 rnted n The Islamc Republc of Iran, 006 Shraz Unversty "Research Note" ALICATION OF CHARGE SIMULATION METHOD TO ELECTRIC

More information

Section 5.3 Annuities, Future Value, and Sinking Funds

Section 5.3 Annuities, Future Value, and Sinking Funds Secton 5.3 Annutes, Future Value, and Snkng Funds Ordnary Annutes A sequence of equal payments made at equal perods of tme s called an annuty. The tme between payments s the payment perod, and the tme

More information

SIMPLE LINEAR CORRELATION

SIMPLE LINEAR CORRELATION SIMPLE LINEAR CORRELATION Smple lnear correlaton s a measure of the degree to whch two varables vary together, or a measure of the ntensty of the assocaton between two varables. Correlaton often s abused.

More information

An Empirical Study of Search Engine Advertising Effectiveness

An Empirical Study of Search Engine Advertising Effectiveness An Emprcal Study of Search Engne Advertsng Effectveness Sanjog Msra, Smon School of Busness Unversty of Rochester Edeal Pnker, Smon School of Busness Unversty of Rochester Alan Rmm-Kaufman, Rmm-Kaufman

More information

FREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES

FREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES FREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES Zuzanna BRO EK-MUCHA, Grzegorz ZADORA, 2 Insttute of Forensc Research, Cracow, Poland 2 Faculty of Chemstry, Jagellonan

More information

Solution: Let i = 10% and d = 5%. By definition, the respective forces of interest on funds A and B are. i 1 + it. S A (t) = d (1 dt) 2 1. = d 1 dt.

Solution: Let i = 10% and d = 5%. By definition, the respective forces of interest on funds A and B are. i 1 + it. S A (t) = d (1 dt) 2 1. = d 1 dt. Chapter 9 Revew problems 9.1 Interest rate measurement Example 9.1. Fund A accumulates at a smple nterest rate of 10%. Fund B accumulates at a smple dscount rate of 5%. Fnd the pont n tme at whch the forces

More information

Support Vector Machines

Support Vector Machines Support Vector Machnes Max Wellng Department of Computer Scence Unversty of Toronto 10 Kng s College Road Toronto, M5S 3G5 Canada wellng@cs.toronto.edu Abstract Ths s a note to explan support vector machnes.

More information

DEFINING %COMPLETE IN MICROSOFT PROJECT

DEFINING %COMPLETE IN MICROSOFT PROJECT CelersSystems DEFINING %COMPLETE IN MICROSOFT PROJECT PREPARED BY James E Aksel, PMP, PMI-SP, MVP For Addtonal Informaton about Earned Value Management Systems and reportng, please contact: CelersSystems,

More information

Causal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting

Causal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting Causal, Explanatory Forecastng Assumes cause-and-effect relatonshp between system nputs and ts output Forecastng wth Regresson Analyss Rchard S. Barr Inputs System Cause + Effect Relatonshp The job of

More information

8 Algorithm for Binary Searching in Trees

8 Algorithm for Binary Searching in Trees 8 Algorthm for Bnary Searchng n Trees In ths secton we present our algorthm for bnary searchng n trees. A crucal observaton employed by the algorthm s that ths problem can be effcently solved when the

More information

Damage detection in composite laminates using coin-tap method

Damage detection in composite laminates using coin-tap method Damage detecton n composte lamnates usng con-tap method S.J. Km Korea Aerospace Research Insttute, 45 Eoeun-Dong, Youseong-Gu, 35-333 Daejeon, Republc of Korea yaeln@kar.re.kr 45 The con-tap test has the

More information

Exhaustive Regression. An Exploration of Regression-Based Data Mining Techniques Using Super Computation

Exhaustive Regression. An Exploration of Regression-Based Data Mining Techniques Using Super Computation Exhaustve Regresson An Exploraton of Regresson-Based Data Mnng Technques Usng Super Computaton Antony Daves, Ph.D. Assocate Professor of Economcs Duquesne Unversty Pttsburgh, PA 58 Research Fellow The

More information

Texas Instruments 30X IIS Calculator

Texas Instruments 30X IIS Calculator Texas Instruments 30X IIS Calculator Keystrokes for the TI-30X IIS are shown for a few topcs n whch keystrokes are unque. Start by readng the Quk Start secton. Then, before begnnng a specfc unt of the

More information

Stress test for measuring insurance risks in non-life insurance

Stress test for measuring insurance risks in non-life insurance PROMEMORIA Datum June 01 Fnansnspektonen Författare Bengt von Bahr, Younes Elonq and Erk Elvers Stress test for measurng nsurance rsks n non-lfe nsurance Summary Ths memo descrbes stress testng of nsurance

More information

Proceedings of the Annual Meeting of the American Statistical Association, August 5-9, 2001

Proceedings of the Annual Meeting of the American Statistical Association, August 5-9, 2001 Proceedngs of the Annual Meetng of the Amercan Statstcal Assocaton, August 5-9, 2001 LIST-ASSISTED SAMPLING: THE EFFECT OF TELEPHONE SYSTEM CHANGES ON DESIGN 1 Clyde Tucker, Bureau of Labor Statstcs James

More information

Recurrence. 1 Definitions and main statements

Recurrence. 1 Definitions and main statements Recurrence 1 Defntons and man statements Let X n, n = 0, 1, 2,... be a MC wth the state space S = (1, 2,...), transton probabltes p j = P {X n+1 = j X n = }, and the transton matrx P = (p j ),j S def.

More information

L10: Linear discriminants analysis

L10: Linear discriminants analysis L0: Lnear dscrmnants analyss Lnear dscrmnant analyss, two classes Lnear dscrmnant analyss, C classes LDA vs. PCA Lmtatons of LDA Varants of LDA Other dmensonalty reducton methods CSCE 666 Pattern Analyss

More information

Project Networks With Mixed-Time Constraints

Project Networks With Mixed-Time Constraints Project Networs Wth Mxed-Tme Constrants L Caccetta and B Wattananon Western Australan Centre of Excellence n Industral Optmsaton (WACEIO) Curtn Unversty of Technology GPO Box U1987 Perth Western Australa

More information

Nordea G10 Alpha Carry Index

Nordea G10 Alpha Carry Index Nordea G10 Alpha Carry Index Index Rules v1.1 Verson as of 10/10/2013 1 (6) Page 1 Index Descrpton The G10 Alpha Carry Index, the Index, follows the development of a rule based strategy whch nvests and

More information

7 ANALYSIS OF VARIANCE (ANOVA)

7 ANALYSIS OF VARIANCE (ANOVA) 7 ANALYSIS OF VARIANCE (ANOVA) Chapter 7 Analyss of Varance (Anova) Objectves After studyng ths chapter you should apprecate the need for analysng data from more than two samples; understand the underlyng

More information

1. Measuring association using correlation and regression

1. Measuring association using correlation and regression How to measure assocaton I: Correlaton. 1. Measurng assocaton usng correlaton and regresson We often would lke to know how one varable, such as a mother's weght, s related to another varable, such as a

More information

14.74 Lecture 5: Health (2)

14.74 Lecture 5: Health (2) 14.74 Lecture 5: Health (2) Esther Duflo February 17, 2004 1 Possble Interventons Last tme we dscussed possble nterventons. Let s take one: provdng ron supplements to people, for example. From the data,

More information

Feature selection for intrusion detection. Slobodan Petrović NISlab, Gjøvik University College

Feature selection for intrusion detection. Slobodan Petrović NISlab, Gjøvik University College Feature selecton for ntruson detecton Slobodan Petrovć NISlab, Gjøvk Unversty College Contents The feature selecton problem Intruson detecton Traffc features relevant for IDS The CFS measure The mrmr measure

More information

Hedging Interest-Rate Risk with Duration

Hedging Interest-Rate Risk with Duration FIXED-INCOME SECURITIES Chapter 5 Hedgng Interest-Rate Rsk wth Duraton Outlne Prcng and Hedgng Prcng certan cash-flows Interest rate rsk Hedgng prncples Duraton-Based Hedgng Technques Defnton of duraton

More information

Joe Pimbley, unpublished, 2005. Yield Curve Calculations

Joe Pimbley, unpublished, 2005. Yield Curve Calculations Joe Pmbley, unpublshed, 005. Yeld Curve Calculatons Background: Everythng s dscount factors Yeld curve calculatons nclude valuaton of forward rate agreements (FRAs), swaps, nterest rate optons, and forward

More information

Luby s Alg. for Maximal Independent Sets using Pairwise Independence

Luby s Alg. for Maximal Independent Sets using Pairwise Independence Lecture Notes for Randomzed Algorthms Luby s Alg. for Maxmal Independent Sets usng Parwse Independence Last Updated by Erc Vgoda on February, 006 8. Maxmal Independent Sets For a graph G = (V, E), an ndependent

More information

Statistical Methods to Develop Rating Models

Statistical Methods to Develop Rating Models Statstcal Methods to Develop Ratng Models [Evelyn Hayden and Danel Porath, Österrechsche Natonalbank and Unversty of Appled Scences at Manz] Source: The Basel II Rsk Parameters Estmaton, Valdaton, and

More information

The Investor Recognition Hypothesis:

The Investor Recognition Hypothesis: The Investor Recognton Hypothess: the New Zealand Penny Stocks Danel JP Cha, Department of Accountng and Fnance, onash Unversty, Clayton 3168, elbourne, Australa, and Danel FS Cho, Department of Fnance,

More information

HÜCKEL MOLECULAR ORBITAL THEORY

HÜCKEL MOLECULAR ORBITAL THEORY 1 HÜCKEL MOLECULAR ORBITAL THEORY In general, the vast maorty polyatomc molecules can be thought of as consstng of a collecton of two electron bonds between pars of atoms. So the qualtatve pcture of σ

More information

VRT012 User s guide V0.1. Address: Žirmūnų g. 27, Vilnius LT-09105, Phone: (370-5) 2127472, Fax: (370-5) 276 1380, Email: info@teltonika.

VRT012 User s guide V0.1. Address: Žirmūnų g. 27, Vilnius LT-09105, Phone: (370-5) 2127472, Fax: (370-5) 276 1380, Email: info@teltonika. VRT012 User s gude V0.1 Thank you for purchasng our product. We hope ths user-frendly devce wll be helpful n realsng your deas and brngng comfort to your lfe. Please take few mnutes to read ths manual

More information

An Interest-Oriented Network Evolution Mechanism for Online Communities

An Interest-Oriented Network Evolution Mechanism for Online Communities An Interest-Orented Network Evoluton Mechansm for Onlne Communtes Cahong Sun and Xaopng Yang School of Informaton, Renmn Unversty of Chna, Bejng 100872, P.R. Chna {chsun,yang}@ruc.edu.cn Abstract. Onlne

More information

Traffic-light a stress test for life insurance provisions

Traffic-light a stress test for life insurance provisions MEMORANDUM Date 006-09-7 Authors Bengt von Bahr, Göran Ronge Traffc-lght a stress test for lfe nsurance provsons Fnansnspetonen P.O. Box 6750 SE-113 85 Stocholm [Sveavägen 167] Tel +46 8 787 80 00 Fax

More information

The Development of Web Log Mining Based on Improve-K-Means Clustering Analysis

The Development of Web Log Mining Based on Improve-K-Means Clustering Analysis The Development of Web Log Mnng Based on Improve-K-Means Clusterng Analyss TngZhong Wang * College of Informaton Technology, Luoyang Normal Unversty, Luoyang, 471022, Chna wangtngzhong2@sna.cn Abstract.

More information

High Correlation between Net Promoter Score and the Development of Consumers' Willingness to Pay (Empirical Evidence from European Mobile Markets)

High Correlation between Net Promoter Score and the Development of Consumers' Willingness to Pay (Empirical Evidence from European Mobile Markets) Hgh Correlaton between et Promoter Score and the Development of Consumers' Wllngness to Pay (Emprcal Evdence from European Moble Marets Ths paper shows that the correlaton between the et Promoter Score

More information

Conversion between the vector and raster data structures using Fuzzy Geographical Entities

Conversion between the vector and raster data structures using Fuzzy Geographical Entities Converson between the vector and raster data structures usng Fuzzy Geographcal Enttes Cdála Fonte Department of Mathematcs Faculty of Scences and Technology Unversty of Combra, Apartado 38, 3 454 Combra,

More information

Question 2: What is the variance and standard deviation of a dataset?

Question 2: What is the variance and standard deviation of a dataset? Queston 2: What s the varance and standard devaton of a dataset? The varance of the data uses all of the data to compute a measure of the spread n the data. The varance may be computed for a sample of

More information

Face Verification Problem. Face Recognition Problem. Application: Access Control. Biometric Authentication. Face Verification (1:1 matching)

Face Verification Problem. Face Recognition Problem. Application: Access Control. Biometric Authentication. Face Verification (1:1 matching) Face Recognton Problem Face Verfcaton Problem Face Verfcaton (1:1 matchng) Querymage face query Face Recognton (1:N matchng) database Applcaton: Access Control www.vsage.com www.vsoncs.com Bometrc Authentcaton

More information

The Effect of Mean Stress on Damage Predictions for Spectral Loading of Fiberglass Composite Coupons 1

The Effect of Mean Stress on Damage Predictions for Spectral Loading of Fiberglass Composite Coupons 1 EWEA, Specal Topc Conference 24: The Scence of Makng Torque from the Wnd, Delft, Aprl 9-2, 24, pp. 546-555. The Effect of Mean Stress on Damage Predctons for Spectral Loadng of Fberglass Composte Coupons

More information

3. Present value of Annuity Problems

3. Present value of Annuity Problems Mathematcs of Fnance The formulae 1. A = P(1 +.n) smple nterest 2. A = P(1 + ) n compound nterest formula 3. A = P(1-.n) deprecaton straght lne 4. A = P(1 ) n compound decrease dmshng balance 5. P = -

More information