Non-Linear vibration of an elastic string

Equations proposed in previous work on the non-linear motion of a string show a basic disagreement, which is here traced to an assumption about the longitudinal displacement u. It is shown that it is neither necessary nor justifiable to assume that u is zero; and also that the velocity of propagation of u disturbances in a string is different from that in an infinite medium, although this difference is usually negligible. After formulating the exact equations of motion for the string, a systematic procedure is described for obtaining approximations to these equations to any order, making only the assumption that the strain in the material of the string is small. The lowest order equations in this scheme are non-linear, and are used to describe the response of a string near resonance. Finally, it is shown that in the absence of damping, planar motion of a string is always unstable at sufficiently high amplitudes, the critical amplitude falling to zero at the natural frequency and its subharmonics. The effect of slight damping on this instability is also discussed.

Oxidation of acetaldehyde to acetic acid in a sparger reactor

The kinetics of oxidation of acetaldehyde to acetic acid was studied in a sparger reactor using manganese acetate as the catalyst. Data obtained in a stirred tank reactor are used for analyzing the sparger reactor data. The rate of chemical reaction is extremely fast and can be neglected for the rate equation of the sparger reactor. A kinetic model applicable at any temperature and concentration within the range of the variables studied is developed which predicts the performance of the sparger reactor satisfactorily.

Raman spectrum of crystalline aminosulphonic acid

The Raman spectrum of a single crystal of sulphamic acid has been recorded withλ 2537 excitation. Thirty-eight lines have been observed, of which twenty-nine have been recorded for the first time. Seven Raman lines with shifts in the region 50–155 cm.−1 have been assigned to the lattice oscillations, two at 177 and 240 cm.−1 have been attributed to the low-frequency hydrogen bond vibrations.. The splitting of the degenerate modes and the appearance of N-H....O bonded stretching vibrations are consistent with the structural data which expect the presence of the free molecule as a Zwitter ion with only slight distortion from C3v symmetry.

Raman spectra of ferro-electric crystals Part IV. Lithium hydrazinium sulphate (LiN2H5SO4)

The Raman spectrum of lithium hydrazinium sulphate has been recorded both in the single crystal form and in aqueous solutions. The crystal exhibits thirty-eight Raman lines having the frequency shifts 52, 70, 104, 146, 174, 220, 260, 302, 350, 454, 470, 610, 630, 715, 977, 1094, 1115, 1132, 1177, 1191, 1260, 1444, 1493, 1577, 1630, 1670, 2205, 2484, 2553, 2655, 2734, 2848, 2894, 2939, 3028, 3132, 3290 and 3330 cm.−1 The aqueous solution gave rise to six Raman lines at 452, 980, 1050–1200, 1260, 1425 and 1570 cm.−1 apart from a maximum at 180 cm.−1 in the ‘wing’ accompanying the Rayleigh line. The observed Raman lines have been assigned as arising from the vibrations of the SO4 ion, N2H5+ ion, Li-O4 group, hydrogen bond and the lattice. The influence of the hydrogen bond on the N-H stretching vibrations has been pointed out. The various features of the observed spectrum strongly support the hypothesis that the NH3 group in the crystal is rotating around the N-N axis at room temperature.

Kde je jádro pudla? Missä on villakoiran ydin? : Eläinten nimistä johdetut fraasit, idiomit ja muut sanonnat tšekin ja suomen kielessä

Pro gradu -työssä tarkastelen tšekin ja suomen kielessä esiintyviä eläinten nimityksistä johdettuja fraseologisia ilmauksia ja sanontoja. Eläinfraseologia muodostaa kielessä keskeisen osan, jolle ovat tyypillisiä voimakas tunnelataus, rajoittunut, sovinnainen käyttö ja puhekielenomaisuus. Tarkastelen eläinilmauksia morfologisesti ja semanttis-leksikaalisesti, mutta muitakin piirteitä esiintyy. Vertailen kumpaakin kieltä ja selvitän kielten fraasien, idiomien ja muiden sanontojen yhtäläisyyksiä ja eroja. Sanonnat (ynnä johdokset ja sanaparit) jaan neljään eri ryhmään seuraavasti: 1. kummassakin kielessä olevat samanlaiset ilmaukset, 2. kummassakin kielessä olevat osittain samanlaiset ilmaukset, 3. tsekkiläiset ilmaukset ja 4. suomalaiset ilmaukset. Työni materiaali on peräisin tsekkiläisistä, suomalaisista ja muunkielisistä sanakirjoista (lähinnä fraseologisista). Selvittelen erityisesti keskeisimpien kotieläinten nimistä (koira, kissa, hevonen, lehmä, lammas, sika, kana), joidenkin muiden eläinten nimistä (karhu, susi, karppi, käärme) ja joidenkin ulkomaisten eläinten nimistä (leijona, elefantti, apina) johdettuja fraseologisia ilmauksia. Materiaali käsittää yhteensä 145 eri eläintä, 163 eläimen nimitystä ja 585 eläinilmausta. Aineistoni pohjalta voi todeta, että tšekin ja suomen kielessä on yllättävän paljon samantyyppisiä eläinilmauksia, vaikka kielet poikkeavat huomattavasti toisistaan. Korpuksessani olevista ilmauksista on täysin symmetrisiä 119/20,3 %, osittain samanlaisia (epäsymmetrisiä) 127/21,7 %, pelkästään tsekkiläisiä 161/27,5 % ja pelkästään suomalaisia 146/25,0 %. Sanaparit ja sananlaskut, joita käsittelin erillisenä ryhmänä (32 kpl) muodostivat aineistosta 5,5 % (niistäkin löytyi yhtäläisyyksiä). Yleisimmin esiintyvät eläimet ovat koira ja kissa. Koira on kuitenkin tšekin fraseologiassa yleisempi eläin kuin suomessa, jossa taas kissa on yleisimmin esiintyvä eläimen nimi. Yleisiä ovat myös mm. hevonen, sika, lintu, kala ja kana. Karitsa, hanhi ja vuohi esiintyvät paljon useammin tšekin fraseologiassa, suomessa esiintyy taas usein sika silloin, kun tšekissä on porsas. Joillakin eläinten nimillä on selvästi negatiivisempi tunnelataus (susi, käärme) kuin toisilla (koira, kissa). Toisin kuin suomessa, kissa on tšekissä valheellinen, vuohi herkuttelee, pöllö ja apina edustavat viisautta ja oppivaisuutta ja kovakuoriainen hellyttää. Yhteisiä eläinten nimityksiä kummassakin kielessä on aineistossani 106/163 (65,03 %). Tšekin fraseologiassa on lähes kaksi kertaa enemmän (37/163 = 22,7 %) sellaisia eläinten nimiä, joita ei esiinny suomen fraseologiassa verrattuna pelkästään suomen fraseologiassa esiintyviin eläinten nimiin (20/163 = 12,27 %). Pelkästään tšekissä esiintyviä eläimiä ovat mm. lumikko, majava, murmeli, mäyrä, näätä ja riikinkukko; pelkästään suomen fraseologiassa esiintyvät puolestaan mm. kiiski, muikku, peippo, poro, sopuli ja telkkä. Vertauskuvat ovat kummassakin kielessä erittäin tyypillisiä. Eläinten nimet viittaavat useimmiten ihmisen kielteisiin luonteenpiirteisiin tai ominaisuuksiin (mazaný jako liška ja viekas kuin kettu). Aineistoni pohjalta vaikuttaa siltä, että tšekissä on enemmän vaihtoehtoisia ja eri eläinten lajeista muodostettuja ilmauksia (mm. lintu- ja kalalajeista). Kummassakin kielessä on myös huudahduslauseita (Ty jsi ale liška pod itá! ja Senkin vanha kettu!), kansainvälisiä ilmauksia (jádro pudla ja villakoiran ydin) ja ns. petollisia ystäviä toisiaan erehdyttävästi muistuttavia, mutta eri asiaa merkitseviä sanontoja (tsekin kočičí život kissanelämä tarkoittaa ´sitkeähenkisyyttä´ − ei suomen kissanpäiviä). Kansallisista erityispiirteistä ovat esimerkkeinä mm. tšekin ilmaus mít se jako husa o Martině "voida kuin hanhi Martinpäivänä" (suomeksi ´voida kurjasti´; viittaus Martinpäivän hanhensyömisperinteeseen) tai suomen ilmaukset kuin hyttysen liraus Itämereen ja sopulilauma.

Convergence correction in colloid scattering

The error introduced in depolarisation measurements due to the convergence of the incident beam has been investigated theoretically as well as experimentally for the case of colloid scattering, where the particles are not small compared to the wavelength of light. Assuming the scattering particles to be anisotropic rods, it is shown that, when the incident unpolarised light is condensed by means of a lens with a circular aperture, the observed depolarisation ratio ϱ u is given by ϱ u = ϱ u0 + 5/3 θ2 where ϱ u0 is the true depolarisation for incident parallel light, and θ the semi-angle of convergence. Appropriate formulae are derived when the incident beam is polarised vertically and horizontally. Experiments performed on six typical colloids support the theoretical conclusions. Other immediate consequences of the theory are also discussed.

Micellar size and shape in solutions of calcium stearate in cetane from optical depolarization data

Observations at a series of temperatures of the changes in viscosities and depolarization factors of 1% and 18% solutions of calcium stearate in cetane to which varying amounts of water have been added can be interpreted in terms of the existence of anisometric micelles. In general, changes in the size of the micelles inferred from values of ρh agree with those deduced from the viscosity data. The correlation between anisometry of micelles from rheological and optical observations is much poorer in the case of ρν, presumably because of the difficulty in differentiating the contribution of anisometry and anisotropy to ρν.

Separation Of Beta-Apocarotenals And Related Compounds By Reversed-Phase Paper And Thin-Layer Chromatography

Tlie sclxuntion and clraractcrization of vitamins Al and An nnd related compoundsby reversed-pllasc paper cliromatogrnpl~y as well as ly thin-lqxr chromategraphy have hen rcportccl carlicrl * $. Thin-lnycr chromatography has also been used for the separatinn and charncterizatio11 of carotenoids from natural sourccs3~ ‘1. I-Iowcver, 130tr.rc,1~1~ofib scrvccl that carotenoid misturcs cannot be separated on a sin& aclsorhnt with ;1 sin& solvent. The scparntion and clctermi1wtion of carotenoid alclclydes from plants, microorganisms and animnl tissues have lxxn carriecl out by nicans of thin-layer clirf.~li~ato~apI~~U. Apocarotcnals awl apocarotcnoic acid have been detected in ornnges by the same technique’*

The Organisation of Policy Meets the Commercialisation of Sex - Global Linkages, Policies, Technologies

During recent years the commercialisation of sex has increased and intensified both locally and globally. This thesis explores the commercialisation of bodies, sex and sexualities, particularly the sex trade, and the impact of rapidly evolving information and communication technologies on this globalising trade. The main focus of this work is on the policies, discourses and policy developments in the area especially in the Finnish context. The study is based on multidisciplinary theoretical sources through which the framework of multiple linkages relevant to the commercialisation of sex is conceptualised. The sex trade functions through a web of intersecting linkages of a substantive, economic, organisational, temporal, spatial, cultural, technological, as well as of legislative and policy nature. This framework of linkages forms the basis for the analysis of the main empirical data, namely qualitative interviews with thirty key managers and professionals, who are responsible for the preparation and implementation of policies on commercial sex. In addition, the thesis addresses the policies and policy practices on the sex trade through the analysis of national and international policy instruments. In addition to analysing the processes of the commercialisation of sex and its effects, the study also discusses their further implications for organisational policy-making, research, and society more generally. The thesis thus seeks to contribute to practice, research and theory on gender, management and organisations.

Pricing Index Options with Stochastic Volatility

The objective of this paper is to investigate the pricing accuracy under stochastic volatility where the volatility follows a square root process. The theoretical prices are compared with market price data (the German DAX index options market) by using two different techniques of parameter estimation, the method of moments and implicit estimation by inversion. Standard Black & Scholes pricing is used as a benchmark. The results indicate that the stochastic volatility model with parameters estimated by inversion using the available prices on the preceding day, is the most accurate pricing method of the three in this study and can be considered satisfactory. However, as the same model with parameters estimated using a rolling window (the method of moments) proved to be inferior to the benchmark, the importance of stable and correct estimation of the parameters is evident.

Analysis of the beta-glucoside utilization (bgl) genes of Shigella sonnei: evolutionary implications for their maintenance in a cryptic state

The pattern of expression of the genes involved in the utilization of aryl beta-glucosides such as arbutin and salicin is different in the genus Shigella compared to Escherichia coli. The results presented here indicate that the homologue of the cryptic bgl operon of E. coli is conserved in Shigella sonnei and is the primary system involved in beta-glucoside utilization in the organism. The organization of the bgl genes in 5. sonnei is similar to that of E. coli; however there are three major differences in terms of their pattern of expression. (i) The bglB gene, encoding phospho-beta-glucosidase B, is insertionally inactivated in 5. sonnei. As a result, mutational activation of the silent bgl promoter confers an Arbutin-positive (Arb(+)) phenotype to the cells in a single step; however, acquiring a Salicin-positive (Sal(+)) phenotype requires the reversion or suppression of the bglB mutation in addition. (ii) Unlike in E. coli, a majority of the activating mutations (conferring the Arb(+) phenotype) map within the unlinked hns locus, whereas activation of the E. coli bgl operon under the same conditions is predominantly due to insertions within the bglR locus. (iii) Although the bgl promoter is silent in the wild-type strain of 5. sonnei (as in the case of E. coli), transcriptional and functional analyses indicated a higher basal level of transcription of the downstream genes. This was correlated with a 1 bp deletion within the putative Rho-independent terminator present in the leader sequence preceding the homologue of the bglG gene. The possible evolutionary implications of these differences for the maintenance of the genes in the cryptic state are discussed.

Chronopotentiometry with power-law perturbation functions at an expanding plane electrode with and without a preceding blank period for systems with a coupled first-order homogeneous chemical reaction

The systems formalism is used to obtain the interfacial concentration transients for power-law current input at an expanding plane electrode. The explicit results for the concentration transients obtained here pertain to arbitrary homogeneous reaction schemes coupled to the oxidant and reductant of a single charge-transfer step and the power-law form without and with a preceding blank period (for two types of power-law current profile, say, (i) I(t) = I0(t−t0)q for t greater-or-equal, slanted t0, I(t) = 0 for t < t0; and (ii) I(t) = I0tq for t greater-or-equal, slanted t0, I(t) = 0 for t < t0). Finally the potential transients are obtained using Padé approximants. The results of Galvez et al. (for E, CE, EC, aC) (J. Electroanal. Chem., 132 (1982) 15; 146 (1983) 221, 233, 243), Molina et al. (for E) (J. Electroanal. Chem., 227 (1987) 1 and Kies (for E) (J. Electroanal. Chem., 45 (1973) 71) are obtained as special cases.

Experimental investigation of the dependence of barrier height on metal work function for metal---SiO2---p---Si (MIS) Schottky-barrier diodes in the presence of inversion

The dependence of barrier height on the metal work function of metal-SiO2-p-Si Schottky barrier diodes was investigated and nonlinearity was found. This is explained by the theoretical model proposed recently by Chattopadhyay and Daw. The values of interface trap density and fixed charge density of the insulating layer of the diodes were calculated using this model and found to be appreciably different from those estimated by the usual method.

Destruction Of Rat-Liver Microsomal Cytochrome-P-450 Invitro By A Monoterpene Ketone, Pulegone A Hepatotoxin

Significant destruction (68%) of liver microsomal cytochrome P-450 and homogeneous cytochrome P-450 purified from PB-treated rats is noticed upon incubation with 10 mM pulegone at 37-degrees-C for 30 min. There is also a concomitant loss of heme. The destructive phenomenon does not require metabolic activation of pulegone. The destruction of purified cytochrome P-450 is time-dependent and saturable. Structure-activity studies suggest that an alpha-isopropylidine ketone unit with a methyl positioned para to the isopropylidine group as in pulegone is necessary for the in vitro destruction of cytochrome P-450. SKF-525A at a concentration of 4-mM obliterates the destruction of cytochrome P-450 by pulegone. Experiments with C-14-pulegone suggest that pulegone or its rearranged product binds covalently to the prosthetic heme of cytochrome P-450.