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A CHANGE OF SCALE FORMULA FOR CONDITIONAL WIENER INTEGRALS ON CLASSICAL WIENER SPACE

  • Yoo, Il;Chang, Kun-Soo;Cho, Dong-Hyun;Kim, Byoung-Soo;Song, Teuk-Seob
    • Journal of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.1025-1050
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    • 2007
  • Let $X_k(x)=({\int}^T_o{\alpha}_1(s)dx(s),...,{\int}^T_o{\alpha}_k(s)dx(s))\;and\;X_{\tau}(x)=(x(t_1),...,x(t_k))$ on the classical Wiener space, where ${{\alpha}_1,...,{\alpha}_k}$ is an orthonormal subset of $L_2$ [0, T] and ${\tau}:0 is a partition of [0, T]. In this paper, we establish a change of scale formula for conditional Wiener integrals $E[G_{\gamma}|X_k]$ of functions on classical Wiener space having the form $$G_{\gamma}(x)=F(x){\Psi}({\int}^T_ov_1(s)dx(s),...,{\int}^T_o\;v_{\gamma}(s)dx(s))$$, for $F{\in}S\;and\;{\Psi}={\psi}+{\phi}({\psi}{\in}L_p(\mathbb{R}^{\gamma}),\;{\phi}{\in}\hat{M}(\mathbb{R}^{\gamma}))$, which need not be bounded or continuous. Here S is a Banach algebra on classical Wiener space and $\hat{M}(\mathbb{R}^{\gamma})$ is the space of Fourier transforms of measures of bounded variation over $\mathbb{R}^{\gamma}$. As results of the formula, we derive a change of scale formula for the conditional Wiener integrals $E[G_{\gamma}|X_{\tau}]\;and\;E[F|X_{\tau}]$. Finally, we show that the analytic Feynman integral of F can be expressed as a limit of a change of scale transformation of the conditional Wiener integral of F using an inversion formula which changes the conditional Wiener integral of F to an ordinary Wiener integral of F, and then we obtain another type of change of scale formula for Wiener integrals of F.

C1qa deficiency in mice increases susceptibility to mouse hepatitis virus A59 infection

  • Kim, Han-Woong;Seo, Sun-Min;Kim, Jun-Young;Lee, Jae Hoon;Lee, Han-Woong;Choi, Yang-Kyu
    • Journal of Veterinary Science
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    • v.22 no.3
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    • pp.36.1-36.12
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    • 2021
  • Background: Mouse hepatitis virus (MHV) A59 is a highly infectious pathogen and starts in the respiratory tract and progresses to systemic infection in laboratory mice. The complement system is an important part of the host immune response to viral infection. It is not clear the role of the classical complement pathway in MHV infection. Objectives: The purpose of this study was to determine the importance of the classical pathway in coronavirus pathogenesis by comparing C1qa KO mice and wild-type mice. Methods: We generated a C1qa KO mouse using CRISPR/Cas9 technology and compared the susceptibility to MHV A59 infection between C1qa KO and wild-type mice. Histopathological and immunohistochemical changes, viral loads, and chemokine expressions in both mice were measured. Results: MHV A59-infected C1qa KO mice showed severe histopathological changes, such as hepatocellular necrosis and interstitial pneumonia, compared to MHV A59-infected wild-type mice. Virus copy numbers in the olfactory bulb, liver, and lungs of C1qa KO mice were significantly higher than those of wild-type mice. The increase in viral copy numbers in C1qa KO mice was consistent with the histopathologic changes in organs. These results indicate that C1qa deficiency enhances susceptibility to MHV A59 systemic infection in mice. In addition, this enhanced susceptibility effect is associated with dramatic elevations in spleen IFN-γ, MIP-1 α, and MCP-1 in C1qa KO mice. Conclusions: These data suggest that C1qa deficiency enhances susceptibility to MHV A59 systemic infection, and activation of the classical complement pathway may be important for protecting the host against MHV A59 infection.

The aspect and attitude toward translation of a prodigy man story - in The Classical Novels of Korea (이인전류 영역(英譯) 양상과 번역 태도)

Epidemiological investigation and phylogenetic analysis of Classical Swine Fever virus in Yunnan province from 2015 to 2021

  • Yao, Jun;Su, Linlin;Wang, Qiaoping;Gao, Lin;Xie, Jiarui;He, Yuwen;Shu, Xianghua;Song, Chunlian;Chai, Jun;Zhang, Yifang;Yang, Shibiao
    • Journal of Veterinary Science
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    • v.23 no.4
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    • pp.57.1-57.9
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    • 2022
  • Background: Classical swine fever virus (CSFV), the causative agent of classical swine fever (CFS), is a highly contagious disease that poses a serious threat to Chinese pig populations. Objectives: Many provinces of China, such as Shandong, Henan, Hebei, Heilongjiang, and Liaoning provinces, have reported epidemics of CSFV, while the references to the epidemic of CSFV in Yunnan province are rare. This study examined the epidemic characteristics of the CSFV in Yunnan province. Methods: In this study, 326 tissue samples were collected from different regions in Yunnan province from 2015 to 2021. A reverse transcription-polymerase chain reaction (RT-PCR), sequences analysis, and phylogenetic analysis were performed for the pathogenic detection and analysis of these 326 clinical specimens. Results: Approximately 3.37% (11/326) of specimens tested positive for the CSFV by RT-PCR, which is lower than that of other regions of China. Sequence analysis of the partial E2 sequences of eleven CSFV strains showed that they shared 89.0-100.0% nucleotide (nt) and 95.0-100.0% amino acid (aa) homology, respectively. Phylogenetic analysis showed that these novel isolates belonged to the subgenotypes 2.1c and 2.1d, with subgenotype 2.1c being predominant. Conclusions: The CSFV was sporadic in China's Yunnan province from 2015 to 2021. Both 2.1c and 2.1d subgenotypes were found in this region, but 2.1c was dominant.

The effect of transverse shear deformation on the post-buckling behavior of functionally graded beams

  • Meksi, Ali;Youzera, Hadj;Sadoun, Mohamed;Abbache, Ali;Meftah, Sid Ahmed;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • v.44 no.1
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    • pp.81-89
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    • 2022
  • The purposes of the present work it to study the effect of shear deformation on the static post-buckling response of simply supported functionally graded (FGM) axisymmetric beams based on classical, first-order, and higher-order shear deformation theories. The behavior of postbuckling is introduced based on geometric nonlinearity. The material properties of functionally graded materials (FGM) are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The equations of motion and the boundary conditions derived using Hamilton's principle. This article compares and addresses the efficiency, the applicability, and the limits of classical models, higher order models (CLT, FSDT, and HSDT) for the static post-buckling response of an asymmetrically simply supported FGM beam. The amplitude of the static post-buckling obtained a solving the nonlinear governing equations. The results showing the variation of the maximum post-buckling amplitude with the applied axial load presented, for different theory and different parameters of material and geometry. In conclusion: The shear effect found to have a significant contribution to the post-buckling behaviors of axisymmetric beams. As well as the classical beam theory CBT, underestimate the shear effect compared to higher order shear deformation theories HSDT.

Discussion on the Route of Lung Meridian: Focus on LU3 and LU4 (수태음폐경 노선에 대한 고찰: 천부·협백을 중심으로)

  • Seok Mo, Song
    • Korean Journal of Acupuncture
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    • v.39 no.4
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    • pp.172-183
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    • 2022
  • Objectives : An error was found in the recent standard by the World Health Organization (WHO) on the locations of the Upper arm Route of Lung Meridian (URLM) and its acupoints LU3 and LU4. This possible incorrect information is being taught throughout Korean medicine colleges nationwide, which follow WHO standards. Therefore, an investigation is required to sort out this discrepancy based on the evidence in historical documents. Methods : The location of WHO's URLM and LU3 and LU4 were compared with corresponding information in the classical literature. The anatomical structure mentioned in these classical documents was examined. Finally, an assessment was conducted on whether this structure is reflected in the WHO standards. Results : Classical literature prior to the early 20th century records the locations of the Lung Meridian and LU3 and LU4 of the upper arm to be in the artery on the medial aspect. This artery corresponds to the brachial artery. The location established by the WHO is on the anterolateral side of the upper arm, where no large arteries exist that can be found by haptic search or angiographically. The anterolateral side of the upper arm belongs to the Yang aspect, which does not coincide with the Yin aspect of Lung Meridian. Conclusions : The WHO's URLM and LU3-4 standards do not agree with the classical literature. The correct route must coincide with the brachial artery passing through the medial side of the humerus. The actual location of LU3-4 is on the medial aspect of the arm, just medial to the border of the biceps brachii muscle, on the brachial artery, 3-4 B-cun inferior to the anterior axillary fold.

Modeling and Trends of Road Transport Development in Eastern European Countries

  • Viktoriia Harkava;Olena Pylypenko;Oleksandr Haisha;Armen Aramyan;Volodymyr Kairov
    • International Journal of Computer Science & Network Security
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    • v.24 no.3
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    • pp.189-195
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    • 2024
  • Road transport occupies the largest share in domestic and international transport. It is of key importance for the development of the economy, forasmuch as it provides the livelihood of the population, the development of the national economy, the possibility of establishing foreign economic relations. The purpose of the research is as follows: analysis of the current state of functioning of the road transport sector in Eastern Europe and identification of key problems and trends in its development. Research methods: Methods of grouping, comparison and generalization, correlation analisys have been used to identify the dynamics of the main indicators of road transport in Eastern Europe. The method of correlation-regression analysis has been applied to determine the impact of increasing the length of roads on the turnover of the road freight transport and the number of employed population in this area. Results. It has been found that the increase in the employed population by 96% and increase in revenues from transportation and storage of goods, postal and courier services (turnover of the road freight transport - in the original language) in the field of road transport by 82% is explained by the change in transport infrastructure capacity by increasing length of highways. According to the correlation analysis, it has been revealed that there is a high direct dependence between the length of roads and increased revenues from transportation and storage of goods in the field of road transport, as well as between the length of roads and increasing employment in this area.

Studies on the analysis of current situation and the directions of humanities programmes practising in the education center affiliated with the religious institution : focusing on the applicability of humanities program based on the traditionalcultural resources (종교기관 부설 교육원의 교양교육 프로그램 현황분석과 방향성 검토 - 전통문화 자원에 기반을 둔 교양교육 프로그램 실행 방안을 중심으로 -)

  • Lee, Chang-il
    • The Journal of Korean Philosophical History
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    • no.42
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    • pp.295-330
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    • 2014
  • This article is to investigate into the philosophical background and the applicability of the humanities programmes effectively to practice them, not to educate the religious doctrines, based on the traditional-cultural resources in the education center affiliated with the religious institution. These humanities programmes can be understood on the lifelong education associated with a person. In the light of common curriculum practising in the existing education center, contents of those programmes are reviewed with classifying the humanities programmes into 3 parts, that is, eastern classical language education, eastern classical education, and eastern traditional prognosticating arts branching off from the eastern philosophy. Eastern classical language education indicates the classical Chinese characters and literatures in the context of our historical tradition. Eastern classical education implies the education which can acquire classical literatures in a modern way, as a accumulation of knowledges having been in charge of a person's lifelong education, and as a entity responsible for making a person to bring to maturity of his character by comprehending the life of human being and the world in pre-modern, Finally, the eastern philosophy is chosen for the reason that have the very interesting contents which can report facts that recover the integral relationship between nature and human being lacking in contemporaries, and instead of rejecting to interpret human being excessively in terms of materialism, is a significant one endowed with the mission which should develop his potentials through the his lifelong. Especially, eastern traditional prognosticating arts are selected that people has considered with them so kindly, and are the knowledges forming the cores of national culture. It may be a very important that attempts to develop the humanities programmes practising in the education center affiliated with the religious institution are not only the demands of the times in our days, but also a new teaching way replacing with old fashioned teachings.

Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium

  • Akbas, Seref D.
    • Smart Structures and Systems
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    • v.18 no.6
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    • pp.1125-1143
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    • 2016
  • Forced vibration analysis of a simple supported viscoelastic nanobeam is studied based on modified couple stress theory (MCST). The nanobeam is excited by a transverse triangular force impulse modulated by a harmonic motion. The elastic medium is considered as Winkler-Pasternak elastic foundation.The damping effect is considered by using the Kelvin-Voigt viscoelastic model. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Timoshenko beam theory by using finite element method. The effects of the transverse shear deformation and rotary inertia are included according to the Timoshenko beam theory. The obtained system of differential equations is reduced to a linear algebraic equation system and solved in the time domain by using Newmark average acceleration method. Numerical results are presented to investigate the influences the material length scale parameter, the parameter of the elastic medium and aspect ratio on the dynamic response of the nanobeam. Also, the difference between the classical beam theory (CBT) and modified couple stress theory is investigated for forced vibration responses of nanobeams.

Kinetics Study of Malachite Green Fading in the Presence of TX-100, DTAB and SDS

  • Samiey, Babak;Toosi, Ali Raoof
    • Bulletin of the Korean Chemical Society
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    • v.30 no.9
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    • pp.2051-2056
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    • 2009
  • The rate constants of alkaline fading of malachite green ($MG^+$) was measured in the presence of nonionic (TX-100), cationic (DTAB) and anionic (SDS) surfactants. This reaction was studied under pseudo-first-order conditions at 283∼303 K. The rate of fading reaction showed noticeable dependence on the electrical charge of the used surfactants. It was observed that the reaction rate constants were increased in the presence of TX-100 and DTAB and decreased in the presence of SDS. According to Hughs-Ingold rules for nucleophilic substitution reactions, the electric charge of MG/surfactant compound along with decrease in dielectric constant of $MG^+$ micro-environment in this compound varies the rate of fading reaction. Binding constants of surfactant molecules to $MG^+$ were calculated using cooperativity, pseudo-phase ion exchange and classical models and the related thermodynamic parameters were obtained by classical model. The results show that the binding of $MG^+$ to TX-100 is exothermic and binding of $MG^+$ to DTAB and SDS in some concentration ranges of the used surfactants is endothermic and in the other ones is exothermic.