Introduction of a nonlinearity measure for principal component models

Although principal component analysis (PCA) is an important tool in standard multivariate data analysis, little interest has been devoted to assessing whether the underlying relationship within a given variable set can be described by a linear PCA model or whether nonlinear PCA must be utilized. This paper addresses this deficiency by introducing a nonlinearity measure for principal component models. The measure is based on the following two principles: (i) the range of recorded process operation is divided into smaller regions; and (ii) accuracy bounds are determined for the sum of the discarded eigenvalues. If this sum is within the accuracy bounds for each region, the process is assumed to be linear and vice versa. This procedure is automated through the use of cross-validation. Finally, the paper shows the utility of the new nonlinearity measure using two simulation studies and with data from an industrial melter process.     

RF SiP技术正转向无线设计主流

第1部分射频系统级封装(RF SiP,RF System-in-Pack-age)技术是一种对无线通信非常有用的封装平台,无线通信被如下事实所困,但由于目前SiP设计仍     

Zur numerischen Simulation von Wärmenetzen

Forschung im Ingenieurwesen - Der Aufsatz beschreibt eine Möglichkeit, beliebig vermaschte Wärmenetze numerisch zu simulieren. Basierend auf einer graphentheoretischen Beschreibung der...     

International orientation,efficiency of and regard for research in East and West Germany: A bibliometric investigation of aspects of technology genesis in the United Germany

The efficiency of areas of science was evaluated using the DEA method. Areas achieving a maximum orientation or regard of international publication are rated as efficient. The areas of reproductive medicine, organic and inorganic chemistry in the former Federal Republic can thus be regarded as efficient areas of science. No area of scientific research in the former East Germany was able to achieve the optimum. The determinant in this connection is the adverse situation with respect to international orientation whilst no substantial difference in regard for further research could be detected between East and West German research.     

Accumulation of nitrite and sulfite in yeast cells and synergistic depletion of the intracellular ATP content

Summary When nitrite or sulfite are applied to yeast cells below pH 5.0, an enormous intracellular accumulation occurs. It is assumed that nitrite and sulfite penetrate the cell membrane in their undissociated forms as nitrous acid (pK = 3.3) or sulfurous acid (pK =1.8), respectively. Due to the neutral intracellular pH they are trapped inside the cell in their anionic forms, which are impermeable to the cell membrane. It has previously been shown that sulfite causes a rapid depletion of the ATP content of yeast cells [Schimz, K. L. and Holzer, H. (1979) resp. Hinze et al. as above]. Similarly, millimolar concentrations of nitrite decrease the ATP level to less than 10% of the initial value. Nitrite and sulfite in combination deplete the ATP content of yeast cells much stronger than expected for the sum of the separate effects of these compounds (synergistic effect).

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Akkumulation von Nitrit und Sulfit in Hefezellen und synergistischer Abfall des intrazellulären ATP-Gehalts

Zusammenfassung Wenn Hefezellen mit Nitrit oder Sulft bei pH-Werten unter 5,0 inkubiert werden, beobachtet man eine starke intracelluläre Akkumulation von Nitrit, bzw. Sulfit. Es ist anzunehmen, daß Nitrit und Sulfit in ihrer undissoziierten Form als salpetrige Säure (pK=3,3) bzw. schweflige Säure (pK=1,8) penetrieren und dann in den Zellen durch Neutralisation zu den anionischen Formen, die die Zellmembran nicht mehr permeieren können, abgefangen werden. Ähnlich dem früher beschriebenen raschen Abfall des ATP-Gehaltes nach Zusatz von Sulfit in Hefe [Schimz, KL und Holzer H (1979) Arch Microbiol 121:225–229] und in Bakterien [Hinze H, Maier K, Holzer H (1981) Z Lebensm Unters Forsch 172:389-392] verursacht auch Nitrit einen raschen Abfall des ATP-Gehaltes in Hefe auf weniger als 10 % des Anfangswertes. Werden Nitrit und Sulfit in Kombination verabreicht, so beobachtet man einen wesentlich stärkeren Abfall des ATP-Gehaltes als er aus der Summe der Einzeleffekte von Nitrit, bzw. Sulfit zu erwarten wäre (Synergistischer Effekt).

     

State estimation for high-dimensional chemical processes

The application of conventional observer designs for high-dimensional systems may not always be practical due to high computational requirements or the resulting observers being too sensitive to measurement noise. In order to address these issues, this paper presents two observer design techniques for state estimation of high-dimensional chemical processes. One technique is used for systems with inputs, whereas the other one is specifically geared towards systems that are not excited from the outside. Both of these observers are applicable to linear and with a modification to non-linear systems.The main idea behind the presented observer designs is that a reduced-order observer is implemented instead of a conventional state estimator. The motivation is that subspaces, which are close to being unobservable, cannot be correctly reconstructed in a realistic setting due to measurement noise and inaccuracies in the model. The presented approaches make use of this observation and only reconstruct the parts of the system where accurate state estimation is possible. The observer designs are illustrated on a 30-tray distillation column model. Additionally, it has been shown that the location of process measurements has a major effect on the performance of the presented reduced-order observers.