Quantile Estimation in Non-Stationary Streaming Data

We provide an incremental quantile estimator for Non-stationary Streaming Data. We propose a method for simultaneous estimation of multiple quantiles corresponding to the given probability levels from streaming data. Due to the limitations of the memory, it is not feasible to compute the quantiles by storing the data. So estimating the quantiles as the data pass by is the only possibility. This can be effective in network measurement. To provide the minimum of the mean-squared error of the estimation, we use parabolic approximation and for comparison we simulate the results for different number of runs and using both linear and parabolic approximations.

Influence of stationary phase and eluent properties on chromatographic separation of carbohydrates

In this thesis, the sorption and elastic properties of the cation-exchange resins were studied to explain the liquid chromatographic separation of carbohydrates. Na+, Ca2+ and La3+ form strong poly(styrene-co-divinylbenzene) (SCE) as well as Na+ and Ca2+ form weak acrylic (WCE) cation-exchange resins at different cross-link densities were treated within this work. The focus was on the effects of water-alcohol mixtures, mostly aqueous ethanol, and that of the carbohydrates. The carbohydrates examined were rhamnose, xylose, glucose, fructose, arabinose, sucrose, xylitol and sorbitol. In addition to linear chromatographic conditions, non-linear conditions more typical for industrial applications were studied. Both experimental and modeling aspectswere covered. The aqueous alcohol sorption on the cation-exchangers were experimentally determined and theoretically calculated. The sorption model includes elastic parameters, which were obtained from sorption data combined with elasticity measurements. As hydrophilic materials cation-exchangers are water selective and shrink when an organic solvent is added. At a certain deswelling degree the elastic resins go through glass transition and become as glass-like material. Theincreasing cross-link level and the valence of the counterion decrease the sorption of solvent components in the water-rich solutions. The cross-linkage or thecounterions have less effect on the water selectivity than the resin type or the used alcohol. The amount of water sorbed is higher in the WCE resin and, moreover, the WCE resin is more water selective than the corresponding SCE resin. Theincreased aliphatic part of lower alcohols tend to increase the water selectivity, i.e. the resins are more water selective in 2-propanol than in ethanol solutions. Both the sorption behavior of carbohydrates and the sorption differences between carbohydrates are considerably affected by the eluent composition and theresin characteristics. The carbohydrate sorption was experimentally examined and modeled. In all cases, sorption and moreover the separation of carbohydrates are dominated by three phenomena: partition, ligand exchange and size exclusion. The sorption of hydrophilic carbohydrates increases when alcohol is added into the eluent or when carbohydrate is able to form coordination complexes with the counterions, especially with multivalent counterions. Decreasing polarity of the eluent enhances the complex stability. Size exclusion effect is more prominent when the resin becomes tighter or carbohydrate size increases. On the other hand,the elution volumes between different sized carbohydrates decreases with the decreasing polarity of the eluent. The chromatographic separation of carbohydrateswas modeled, using rhamnose and xylose as target molecules. The thermodynamic sorption model was successfully implemented in the rate-based column model. The experimental chromatographic data were fitted by using only one adjustable parameter. In addition to the fitted data also simulated data were generated and utilized in explaining the effect of the eluent composition and of the resin characteristics on the carbohydrate separation.

Ion-exchange resins as stationary phase in reactive chromatography

Dynamic behavior of bothisothermal and non-isothermal single-column chromatographic reactors with an ion-exchange resin as the stationary phase was investigated. The reactor performance was interpreted by using results obtained when studying the effect of the resin properties on the equilibrium and kinetic phenomena occurring simultaneously in the reactor. Mathematical models were derived for each phenomenon and combined to simulate the chromatographic reactor. The phenomena studied includes phase equilibria in multicomponent liquid mixture¿ion-exchange resin systems, chemicalequilibrium in the presence of a resin catalyst, diffusion of liquids in gel-type and macroporous resins, and chemical reaction kinetics. Above all, attention was paid to the swelling behavior of the resins and how it affects the kinetic phenomena. Several poly(styrene-co-divinylbenzene) resins with different cross-link densities and internal porosities were used. Esterification of acetic acid with ethanol to produce ethyl acetate and water was used as a model reaction system. Choosing an ion-exchange resin with a low cross-link density is beneficial inthe case of the present reaction system: the amount of ethyl acetate as well the ethyl acetate to water mole ratio in the effluent stream increase with decreasing cross-link density. The enhanced performance of the reactor is mainly attributed to increasing reaction rate, which in turn originates from the phase equilibrium behavior of the system. Also mass transfer considerations favor the use ofresins with low cross-link density. The diffusion coefficients of liquids in the gel-type ion-exchange resins were found to fall rapidly when the extent of swelling became low. Glass transition of the polymer was not found to significantlyretard the diffusion in sulfonated PS¿DVB ion-exchange resins. It was also shown that non-isothermal operation of a chromatographic reactor could be used to significantly enhance the reactor performance. In the case of the exothermic modelreaction system and a near-adiabatic column, a positive thermal wave (higher temperature than in the initial state) was found to travel together with the reactive front. This further increased the conversion of the reactants. Diffusion-induced volume changes of the ion-exchange resins were studied in a flow-through cell. It was shown that describing the swelling and shrinking kinetics of the particles calls for a mass transfer model that explicitly includes the limited expansibility of the polymer network. A good description of the process was obtained by combining the generalized Maxwell-Stefan approach and an activity model that was derived from the thermodynamics of polymer solutions and gels. The swelling pressure in the resin phase was evaluated by using a non-Gaussian expression forthe polymer chain length distribution. Dimensional changes of the resin particles necessitate the use of non-standard mathematical tools for dynamic simulations. A transformed coordinate system, where the mass of the polymer was used as a spatial variable, was applied when simulating the chromatographic reactor columns as well as the swelling and shrinking kinetics of the resin particles. Shrinking of the particles in a column leads to formation of dead volume on top of the resin bed. In ordinary Eulerian coordinates, this results in a moving discontinuity that in turn causes numerical difficulties in the solution of the PDE system. The motion of the discontinuity was eliminated by spanning two calculation grids in the column that overlapped at the top of the resin bed. The reactive and non-reactive phase equilibrium data were correlated with a model derived from thethermodynamics of polymer solution and gels. The thermodynamic approach used inthis work is best suited at high degrees of swelling because the polymer matrixmay be in the glassy state when the extent of swelling is low.

Fuzzy subgroups, algebraic and topological points of view and complex analysis

Fuzzy subsets and fuzzy subgroups are basic concepts in fuzzy mathematics. We shall concentrate on fuzzy subgroups dealing with some of their algebraic, topological and complex analytical properties. Explorations are theoretical belonging to pure mathematics. One of our ideas is to show how widely fuzzy subgroups can be used in mathematics, which brings out the wealth of this concept. In complex analysis we focus on Möbius transformations, combining them with fuzzy subgroups in the algebraic and topological sense. We also survey MV spaces with or without a link to fuzzy subgroups. Spectral space is known in MV algebra. We are interested in its topological properties in MV-semilinear space. Later on, we shall study MV algebras in connection with Riemann surfaces. In fact, the Riemann surface as a concept belongs to complex analysis. On the other hand, Möbius transformations form a part of the theory of Riemann surfaces. In general, this work gives a good understanding how it is possible to fit together different fields of mathematics.

Identification of Turning Points in the Research on Titanium Dioxide Production and Application

This dissertation "Identification of turning points in the research on titanium dioxide production and application" aims at detecting in scientific literatures emerging trends and sudden changes in titanium dioxide production and application. These key changes are then studied to determine its transient patterns and its effect on the research on titanium dioxide production and application The source of information is from bibliographic data which discussed titanium dioxide production and application. These bibliographic data where obtained from ISI Web of Knowledge and then formed into a network of clusters by applying software called Citespace.

Talking Points on Finland

kuv., 9 x 12 cm

L'Europe, où, tous les points principaux sont placez sur les observations de messieurs de L'Académie Royale des Sciences

Nimeke- ja tekijätiedot nimiönkehyksissä

Stories from the City, Stories from the Sea - How place brands are perceived differently from the points of view of a local and a tourist

Tämä tutkielma käsittelee paikkamarkkinointia ja paikkabrändäystä. Tutkielmassa tarkastellaan paikallisen ja turistin tapoja muodostaa kaupunkibrändi; mistä palasista brändi muodostuu kirjallisuuden ja haastateltavien mukaan, koetaanko eri palaset vaihtelevissa määrin tärkeiksi riippuen siitä, tarkastellaanko paikkaa paikallisena vai turistina, ja löytyykö jotain yhteisiä retorisia nimittäjiä sille, miten kotikaupungista puhutaan verrattuna lomakaupunkiin. Tutkimuksessa haastateltiin yli kolmeakymmentä henkilöä heidän kotikaupungeistaan ja kaupungeista, joihin he olivat matkustaneet lomalle. Haastateltavat olivat suurinpiirtein samanikäisiä, mutta eri kaupungeista ja matkustaneet eri paikkoihin. Haastateltavia pyydettiin ensin kuvailemaan vapaasti kotikaupunkiaan ja sen jälkeen kaupungista kysyttiin kirjallisuuteen perustuen kysymyksiä. Sama menetelmä toistettiin lomakohteen suhteen. Tutkimuksesta selvisi, että paikkabrändi muodostetaan samoista komponenteista, mutta joidenkin komponenttien merkitys on tärkeämpi kotikaupungissa, kun taas toiset komponentit ovat tärkeitä lomakohteen suhteen. Ihmiset ja kulttuuri yleisesti koettiin tärkeinä komponentteina molemmista paikkabrändeistä puhuttaessa, kun taas kotikaupungin brändinmuodostukseen kuului vahvemmin lait ja muut käytännölliset menettelytavat kuten liikenteen toimivuus. Lomakohteen brändinmuodostuksessa vapaudella tehdä mitä haluaa oli suuri merkitys ja vapautta nähtiin eri muodoissa. Retoriikka kotikaupungista puhuttaessa oli selvästi negatiivista, kun taas lomakohteesta puhuttiin yleisesti ottaen positiiviseen sävyyn. Suhde kotikaupunkiin oli ambivalentti, sillä huonojakin puolia mainittaessa niitä puolusteltiin, tai kotikaupungista mainittiin loppujen lopuksi jotain hyvää. Tutkimusten tuloksiin perustuen toimenpidesuosituksina ehdotetaan olemassaolevan autenttisen kulttuurin ylläpitämäistä, korostamista ja kaupungin orgaanista kehittämistä suuntaan, jossa se on hyvä paikka niin elämiseen kuin lomailuun. Identiteetti, imago ja ihmiset kietoutuvat tiiviisti yhteen, minkä vuoksi kaupunkisuunnittelun- ja kehittämisen tehtävänä on pitää huolta, että kaupunki on onnistunut molempien ryhmien suhteen, ja molemmat ryhmät levittävät kaupungista positiivista sanomaa.