• Bulletin of the Korean Mathematical Society
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• v.53 no.3
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• pp.681-698
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• 2016

In this paper, we investigate relative essential spectra of $2{\times}2$ block operator matrix using the Fredholm perturbation theory. Furthermore, an example for two-group transport equations is presented to illustrate the validity of the main results.

• Bulletin of the Korean Mathematical Society
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• v.36 no.2
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• pp.357-361
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• 1999

The essential spectra for a class of Toeplitz operators on p, 1$\leq$p$\leq$$\infty$, are computed.

• Bulletin of the Korean Mathematical Society
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• v.55 no.5
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• pp.1351-1370
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• 2018

In the first part of this paper we show that, under some conditions, a polynomially demicompact operator can be demicompact. An example involving the Caputo fractional derivative of order ${\alpha}$ is provided. Furthermore, we give a refinement of the left and the right Weyl essential spectra of a closed linear operator involving the class of demicompact ones. In the second part of this work we provide some sufficient conditions on the inputs of a closable block operator matrix, with domain consisting of vectors which satisfy certain conditions, to ensure the demicompactness of its closure. Moreover, we apply the obtained results to determine the essential spectra of this operator.

• Structural Engineering and Mechanics
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• v.33 no.5
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• pp.589-604
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• 2009

In the field of predicting structural safety and reliability the operating conditions play an essential role. Since the time and cost limitations are a significant factors in engineering it is important to predict the future operating conditions as close to the actual state as possible from small amount of available data. Because of the randomness of the environment the shape of measured load spectra can vary considerably and therefore simple distribution functions are frequently not sufficient for their modelling. Thus mixed distribution functions have to be used. In general their major weakness is the complicated calculation of unknown parameters. The scope of the paper is to investigate the load spectra growth for actual operating conditions and to investigate the modelling and extrapolation of load spectra with algorithm for mixed distribution estimation, REBMIX. The data obtained from the measurements of wheel forces and the braking moment on proving ground is used to generate load spectra.

• Korean Journal of Pharmacognosy
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• v.13 no.4
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• pp.153-156
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• 1982

The essential oil fraction of Chrysanthemum sibiricum Turcz. (Compositae) was analysed by means of TLC and GLC. Utilizing silicagel column chromatography, a blue-color compound was isolated, and purified by preparative TLC. The obtain compound had the same Rf-value on TLC and exactly same UV-visible and IR spectra with that of chamazulene isolated from Matricaria chamomilla L. The composition of the essential oil was also compared with those from flowers of Chrysanthemum indicum L. and Chrysanthemum morifolim Ramatuelia.

• Journal of the Korean Society of Tobacco Science
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• v.4 no.2
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• pp.67-73
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• 1982

Essential oil components from tobacco powder were investigated as flavouring agent. The essential oil was isolated from tobacco powder by a simple distillation /extraction method The extracted essential oil was fractionated into basic, acidic and neutral groups. And the neutral group of essential oil was separated by column chromatography into 10 fractions. Above groups and fractions were tested for tobacco aroma and smoke aroma. The neutral group except most nonpolar fraction displays good flavouring properties which make them highly suitable for improving the flavour and aroma of tobacco and tobacco smoke. The most nonpolar fraction from neutral group was carefully investigated using preparative column, thin layer and gas chromatography ailed by GC/MS coupling. The major subfraction was identified as hydrocarbons on the basis of the IR spectrum. The 58 hydrocarbon components were identified by their mass spectra and was chromatographic retention times.

• Bulletin of the Korean Mathematical Society
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• v.42 no.3
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• pp.653-659
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• 2005

In this paper it is proved that quasisimilar n-tuples of tensor products of injective p-quasihyponormal operators have the same spectra, essential spectra and indices, respectively. And it is also proved that a Weyl n-tuple of tensor products of injective p-quasihyponormal operators can be perturbed by an n-tuple of compact operators to an invertible n-tuple.

• Korean Journal of Pharmacognosy
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• v.19 no.4
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• pp.239-247
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• 1988

Essential oil of the root of Angelica gigas Nakai (Umbelliferae) was investigated. Essential oil was obtained from the dried roots by steam distillation and fractionated by column chromatography. Each isolate or fraction was identified by GC, GC-MS and spectral analysis. It was found to contain eleven monoterpenes such as ${\alpha}-pinene,\;camphene,\;{\beta}-pinene,\;myrcene,\;{\alpha}-phellandrene,\;{\Delta}-3-carene,\;{\alpha}-terpinene,\;p-symene,\;limonene,\;{\gamma}-terpinene$ and terpinolene and also found to contain 4-vinylguauacol, myristicin, elemol, ${\beta}-eudesmol,\;{\alpha}-eudesmol,\;four\;sesquiterpenes\;involving\;{\Delta}-elemene$. Four sesquiterpenes and five sesquiterpene alcohols were tentatively identified by comparison of their mass spectra.

• Natural Product Sciences
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• v.22 no.1
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• pp.30-34
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• 2016

A simple and rapid method based on proton nuclear magnetic resonance spectroscopy was developed for determination of trans-anethole content in fennel essential oil. Spectra of pure trans-anethole, of the pure essential oil of fennel, and of the pure oil of fennel with thymol internal standard were recorded. The signal of $H-1^/$ was used for quantification of trans-anethole. This proton signal is well separated in the proton magnetic resonance spectrum of the compound. No reference compound is needed and cheap internal standard was used. The results obtained from spectroscopic analysis were compared with those obtained by gas chromatography. Additionally, the developed method was used for determination of the type of vegetable oil used as a carrier in commercial products, which cannot be quantified as such by gas chromatography. This study demonstrates the application of proton nuclear magnetic resonance spectroscopy as a quality control method for estimation of essential oil components.

• Communications of the Korean Mathematical Society
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• v.36 no.2
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• pp.313-325
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• 2021

In this paper, we provide a characterization of upper semi-Fredholm operators via the relative demicompactness concept. The obtained results are used to investigate the stability of various essential spectra of closed linear operators under perturbations belonging to classes involving demicompact, as well as, relative demicompact operators.