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., Buttner R., Lorenz V., Premixing of magma and water in MFCI experiments, B. Volcanol., 1997, 58, 491–495 http://dx.doi.org/10.1007/s004450050157 [73] Maria A., Carey S., Quantitative discrimination of magma fragmentation and pyroclastic transport processes using the fractal spectrum technique, J. Volcanol. Geoth. Res., 2007, 161, 234–246 http://dx.doi.org/10.1016/j.jvolgeores.2006.12.006 [74] Mandelbrot B.B., How long is the coast of Britain? Statistical self-similarity and fractional dimensions, Science, 1967, 156, 636–638 http://dx.doi.org/10.1126/science.156

) 6 Ek}, mk = min{x : (t, x) G Ek}, M^ = max{x : (t, x) G Ek, (i - 1 )/n <t< i/n} Convergence of dimensions 883 and mj^ = min{x : ( t ,x ) 6 Ek,(i — 1 )/n<t < i/n}. Notice at first that for every i 6 { 0 , . . . , n } and k € N (1) M « - mf < 2\Xi/n - X{i_l)/n\ + di{Mk.x - mfc-x). To show (1) we shall consider four cases. CASE 1. Xi/n - X ( i _ 1 ) / n > 0 and Xx - X0 > 0. Then Cj > 0 and, since <ci-l + di- Mfc_! + fi and m^ >Ci-0 + di- mfc_i + fi we obtain - mf <a + di(Mfc_i - mfc_i) = = Xi/n ~ X{i-l)/n ~ di(Xi - X0) + - 77lfc_i) = xi/n - x{i_1)/n

JpMMM-Miilyi Mfc'i • Μ M4 - XuMMtwTi ' , . _ m t n . j / w . r ^ v lllllUlll>llll>l>JUlUI>UU>l>liniltälunnuÜl · '"«Vf I» ι;ι»·ν> |p Fig. 1. Intonation patterns of words with different voiceless consonants and a nasal On the records (from above downwards): signal of lip closure; signal of the throat microphone; signals of tonguepalate closure; voltage proportional to a period of pitch; time mark .01 sec On this evidence it seems plausible that the vocal cords are ready for vi- bration at any moment during the production of a voiceless consonant but cannot

! + 2 ̂ ^ ^ 2> - 2 - (^ j 2 n ij - 2 - (i»2, n i } r r + h x m ] + ffi + « ff ^ i?]' A(16) where E ( m ,m = + * + + \ w y - - + *gy - + ^ i)yy ni + i ^ J , H (rjh = i {2 0 g 1)x + {//,-(0g)2},} + i {2 0 g 1)y + (0g)2},}, /(>/<,0g) = £(f71,0 (11))(0g»/ix - 0g+1)y) - ^ g ) [ ^ +i)t0 + - + i)y + ^ g ^ /J Q + ni - [0 g Z ,( ^ 1,0 (11»)]. A(17) G.K. Gill et al. ■ Bubble Formation in Superposed Magnetic Fluids 811 Appendix B RtJ = cosh(Ikyj), SH = sinh(/fc/if), DJj1 = eu~1] ksinh{khj), B(l) E„„ = cosh (mfc/ij sinh (mfc/i2) + sinh (mfchj cosh (mfc/i

(k)) > 0, and § < pk - t2k < d(x2n(k)+i,x2m(k)), for each integer k > ko- Therefore, (for all k > /cq) we have (f>{rk) = <t>{d(x2 n(k)+2i < a + r2 + a + a < G i + G2 + G3 + g 4 , where A = a(d(x2 n(fc) + l) -^m (k)))<f>{d(x 2n(fc)+l' X2m(fc))), (fc)+2))> A = c(d(x2n(fc)+l, X2m(fc)))0(d(a;2m(fc), X2m(fc)+l))) A = e(d(®2n(fc)+l>32m(fc))) x min {</>(d(a;2n(fc)+1,®2m(fc)+i))> 0(d(x2m(fc)>^2n(fc)+2))} and Gi = a(pk - i2n(fc))<?Ksfc); G 2 = <t>{t 2 n ( k ) + 1) ; G3 = <P{t2m(k))\ Ga = e(pfc - t2n(k))<f>(qk). We let k —> 00, then by using the continuity of (f

Ableben intensiv gearbeitet hat, bringt uns In- formationen zu diesem Komplex, wie sie bisher noch nie veröffentlicht worden sind. Ab 1986 war Dr. Dietrich Nagel in der Deutschen Bücherei in Leipzig tätig, bevor er dann 1991 die Leitung der Rats- schulbibliothek in Zwickau übernahm. Klaus G. Saur Abkürzungen AdW Akademie der Wissenschaften AHB BE Außenhandelsbetrieb Buchexport Leipzig DSB Deutsche Staatsbibliothek Berlin IWIM Institut für Wissenschaftsinformation in der Medizin LKG Leipziger Kommissions- und Großbuch- handel MfCI Ministerium für Chemische Industrie

. . . fenlaid, i n n i l i S m m a r , J ; b M m r . Mfci I . . r u i a l n h w i . M l ΓΙΙΙι Twi l i la Mmlm O t a O ; PH. C S h τ . C m l d a , R a i | ) i n a i l l HlKtaai , lUan -Haf t i -S lnA« I I ; D l B e l . . b n l d a , — w i s l i t , Μ ι ^ M ; I I I I ι M l l i a i u d I ' — CnUmf, W a d | π ι · · 1 ι U ; A h N GHUm, M a i n | T m i ) | Di. H a H i . l · k v a d t a M l l l , Γι III Π Ii ' I ΓΙΜίι « ι • η Η ι Μ ι » I I a , E a a a - W a d M . U a p o f e U * U a l u n B . IT; B*l B - l a^mt. ι ) · ι Ι ι ^ U n d . S ; F n U m τ . Μι, · ι ι Π i l i a l · ι Mil

= n\ < fi2 < •• and limjt-ooM* = ii) w k ( t ) < w(t) for t > t i + ( k - 1 )r and it = 1,2,- iii) j J t t + l w k ( s ) d s > nk for t > + (Jb + l ) r , A; = 1,2, • • • , / € L . To see i), observe that for A? = 1 and k = 2, we have i t+f o , t+l H 2 = inf m i n { p / i 1 e i ' l T + 7 f f e ^ ' d g ( 0 , s ) d 0 } = - f V ( 0 , a ) d 0 > 0 = ^ . t>ti ieL i j J i J < o t If we assume that > /¿/t_i, then , t+l a Mfc+i = inf m m { p f i k e ^ T + - f f e » * s d g ( 0 , s ) d 0 } t>ti /£L I u t 0 j < + / a > mf m m { p f i k . 1 e ^ - l T + j f f e " ' - l

*+kl+l varying from 2 to A: such that are all different and different of any i j , j = 1,... ,/ — 1 (obvi- ously, if / = 1 this last restriction does not appear), and such that / i j , . . . ,/ima < 3 , . . . , f t f + 1 , . . . , / » * + ' < * + !· Here, we have applied the hypothesis of induction. Now we will apply the formula for the derivative of Malliavin of a product. In order to simplify notation we denote ma, £!>,...,,,_, if / > 1 and by G1 if / = 1. Then (2.2) can be written as follows Z%„F = «π ^«r, Σ Σ k T DL. Χ ma,... ,mfc+i=0 Σ Σ"Σ^··-^^ Π <r-^,^ Now, denote k-l k

Labordiagnostica GmbH, Elsässer Str. 18, D-79346 Endingen, Tel. 07642-9055-0 oder Fax 07642-9055-44. Sensjtive Enzyrriimmunoassays (96 Tests) zur quantitativen j: Bestimmung von t^-vvr-^>v/· , ' · · ' p ä '.,i£ NöbiWeli Proinsulin NobiWelllnsulin NobiWell C-Peptid ! · NOBIS !aEtil·^^ .4»*iiW«w:»r>u*i ...· .i-.i»~VAiji»;.— , ,.̂ v» M .̂»»A»^«aiiî >>^«^w»«M»î titol̂ ft<fa>tiai»i«** îBfcilhail»aiiai»Mfcî ·*^^ Postfach 1251 - D-79343 Endingen · Tel. 0 76,42 - 90 55 - (0) - 29 © 1998 Blackwell Wissenschafts-Verlag, Berlin J Lab Med 1998; 22 (4): 225 225 Isselbacher, Braunwald