• Title/Summary/Keyword: second differential

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SOLVABILITY FOR SECOND-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS ON AN UNBOUNDED DOMAIN AT RESONANCE

  • Yang, Ai-Jun;Wang, Lisheng;Ge, Weigao
    • The Pure and Applied Mathematics
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    • v.17 no.1
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    • pp.39-49
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    • 2010
  • This paper deals with the second-order differential equation (p(t)x'(t))' + g(t)f(t, x(t), x'(t)) = 0, a.e. in (0, $\infty$) with the boundary conditions $$x(0)={\int}^{\infty}_0g(s)x(s)ds,\;{lim}\limits_{t{\rightarrow}{\infty}}p(t)x'(t)=0,$$ where $g\;{\in}\;L^1[0,{\infty})$ with g(t) > 0 on [0, $\infty$) and ${\int}^{\infty}_0g(s)ds\;=\;1$, f is a g-Carath$\acute{e}$odory function. By applying the coincidence degree theory, the existence of at least one solution is obtained.

AN INNOVATION DIFFUSION MODEL IN PARTIAL COMPETITIVE AND COOPERATIVE MARKET: ANALYSIS WITH TWO INNOVATIONS

  • CHUGH, S.;GUHA, R.K.;DHAR, JOYDIP
    • Journal of Applied and Pure Mathematics
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    • v.4 no.1_2
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    • pp.27-36
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    • 2022
  • An innovation diffusion model is proposed model consists of three classes, namely, a non-adopter class, adopter class innovation-I, and adopter class innovation-II in a partially competitive and cooperative market. The proposed model is analyzed with the help of the qualitative theory of a system of ordinary differential equations. Basic influence numbers associated with first and second innovation $R_{0_1}$ and $R_{0_2}$ respectively in the absence of each other are quantified. Then the overall basic influence number (R0) of the system is assessed for analyzing stability in the market in different situations. Sensitivity analysis of basic influence numbers associated with first and second innovation in the absence of each other is carried out. Numerical simulation supports our analytical findings.

Hookworm Infection Caused Acute Intestinal Bleeding Diagnosed by Capsule: A Case Report and Literature Review

  • Tan, Xia;Cheng, Meichu;Zhang, Jie;Chen, Guochun;Liu, Di;Liu, Yexin;Liu, Hong
    • Parasites, Hosts and Diseases
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    • v.55 no.4
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    • pp.417-420
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    • 2017
  • Hookworm infections are rare causes of acute gastrointestinal bleeding. We report a middle aged man with primary nephrotic syndrome and pulmonary embolism. During the treatment with steroids and anticoagulants, the patient presented acute massive hemorrhage of the gastrointestinal tract. The results of gastroscopy showed red worms in the duodenum. Colonoscopy and CT angiogram of abdomen were unremarkable. Capsule endoscopy revealed fresh blood and multiple hookworms in the jejunum and ileum. Hookworms caused the acute intestinal bleeding. The patient responded well to albendazole. Hematochezia was markedly ameliorated after eliminating the parasites. Hence, hookworm infection should be considered in the differential diagnosis of a patient with obscure gastrointestinal bleeding. Capsule endoscopy may offer a better means of diagnosis for intestinal hookworm infections.

Screening for Metastatic Osteosarcoma Biomarkers with a DNA Microarray

  • Diao, Chun-Yu;Guo, Hong-Bing;Ouyang, Yu-Rong;Zhang, Han-Cong;Liu, Li-Hong;Bu, Jie;Wang, Zhi-Hua;Xiao, Tao
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.4
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    • pp.1817-1822
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    • 2014
  • Objective: The aim of this study was to screen for possible biomarkers of metastatic osteosarcoma (OS) using a DNA microarray. Methods: We downloaded the gene expression profile GSE49003 from Gene Expression Omnibus database, which included 6 gene chips from metastatic and 6 from non-metastatic OS patients. The R package was used to screen and identify differentially expressed genes (DEGs) between metastatic and non-metastatic OS patients. Then we compared the expression of DEGs in the two groups and sub-grouped into up-regulated and down-regulated, followed by functional enrichment analysis using the DAVID system. Subsequently, we constructed an miRNA-DEG regulatory network with the help of WebGestalt software. Results: A total of 323 DEGs, including 134 up-regulated and 189 down-regulated, were screened out. The up-regulated DEGs were enriched in 14 subcategories and most significantly in cytoskeleton organization, while the down-regulated DEGs were prevalent in 13 subcategories, especially wound healing. In addition, we identified two important miRNAs (miR-202 and miR-9) pivotal for OS metastasis, and their relevant genes, CALD1 and STX1A. Conclusions: MiR-202 and miR-9 are potential key factors affecting the metastasis of OS and CALD1 and STX1A may be possible targets beneficial for the treatment of metastatic OS. However, further experimental studies are needed to confirm our results.

Efficient Frame Synchronization Detector and Low Complexity Automatic Gain Controller for DVB-S2 (효율적인 디지털 위성 방송 프레임 동기 검출 회로 및 낮은 복잡도의 자동 이득 제어 회로)

  • Choi, Jin-Kyu;Sunwoo, Myung-Hoon;Kim, Pan-Soo;Chang, Dae-Ig
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.2
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    • pp.31-37
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    • 2009
  • This paper presents an efficient frame synchronization strategy with the identification of modulation type for Digital Video Broadcasting-Satellite second generation (DVB-S2). To detect the Start Of Frame (SOF) and identify a modulation mode at low SNR, we propose a new correlator structure and a low complexity Automatic Gain Controller (AGC). The proposed frame synchronization architecture can reduce about 93% multipliers and 89% adders compared with the direct implementation of the Differential - Generalized Post Detection Integration (D-GPDI) algorithm which is very complex and the proposed a low complexity AGC consists of only 5 multipliers and 3 adders. The proposed architecture has been thoroughly verified on the Xilinx Virtex II FPGA board.

The Study on the Visual illusions and the Image of the Clothing by the Computer Simulation through the combination of the collars and the sleeves (Computer Simulation을 이용한 의복의 착시효과와 이미지 연구 Collar와 Sleeve의 조합을 중심으로-)

  • Choi, Jung;Lee, Kyoung-Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.20 no.5
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    • pp.915-929
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    • 1996
  • The purpose of this study is to investigate the visual illusions and image of the combinated collars and sleeves which are combinated by the computer simulation. The detail object of this study as follows; 1) to know the visual illusions of the clothing as the collar and sleeves are combinated 2) to constract the clothing image using sementic differential scales 3) to know the differet image of the clothing as the collars and sleeves are combinted 4) to know the interaction effect of the collars and sleeves of the clothing The detail method of this study is as follows; In the first experiment, there are two groups; the first 8 groups are the combination of the same collar and the different sleeves. The second 8 groups are the combination of the same sleeve and the different collars. The second experiment has done for the 32 clothings which are the combination of the 8 collars and 4 sleeves. For the 14 clothing the image has tested by 13 semantic differential bi- polar scale. The subjects were 50 female students majoring in clothing and textile. The data analyzed by Kendall cofficient of concodance, Factor analysis, Anova and scheffe's test. Briefly the image of the clothing is much influenced by the varing of the collar than that of the sleeve. Thus, we also can conclude that the recognition of the clothing are much more dependent on the collar than sleeve.

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Second-Moment Closure Modelling of Particle-Laden Homogeneous Turbulent Shear Flows (고체입자가 부상된 균질 난류 전단유동의 2차-모멘트 모형화)

  • Shin, Jong-Keun;Seo, Jeong-Sik;Han, Seong-Ho;Choi, Young-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.1 s.256
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    • pp.29-39
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    • 2007
  • A second-moment closure is applied to the prediction of a homogeneous turbulent shear flow laden with mono-size particles. The closure is curried out based on a 'two-fluid' methodology in which both carrier and dispersed phases are considered in the Eulerian frame. To reduce the number of coupled differential equations to be solved, Reynolds stress transport equations and algebraic stress models are judiciously combined to obtain the Reynolds stress of carrier and dispersed phases in the mean momentum equation. That is, the Reynolds stress components for carrier and dispersed phases are solved by modelled transport equations, but the fluid-particle velocity covariance tensors are treated by the algebraic models. The present predictions for all the components of Reynolds stresses are compared to the DNS data. Reasonable agreements are observed in all the components, and the effects of the coupling of carrier and dispersed phases are properly captured in every aspects.

Synthesis of Novel Y-type Nonlinear Optical Polyester with Enhanced Thermal Stability of Second Harmonic Generation for Electro-Optic Applications

  • Cho, You-Jin;Lee, Ju-Suk;Lee, Ju-Yeon
    • Bulletin of the Korean Chemical Society
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    • v.31 no.6
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    • pp.1509-1514
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    • 2010
  • Methyl 3,4-di-(2'-hydroxyethoxy)benzylidenecyanoacetate (3) was prepared and condensed with terephthaloyl chloride to yield novel Y-type polyester (4) containing 3,4-dioxybenzylidenecyanoacetate groups as NLO-chromophores, which constituted parts of the polymer main chains. The resulting polymer 4 is soluble in common organic solvents such as acetone and N,N-dimethylformamide. Polymer 4 shows thermal stability up to $280^{\circ}C$ in thermogravimetric analysis with glass-transition temperature obtained from differential scanning calorimetry near $105^{\circ}C$. The second harmonic generation (SHG) coefficient ($d_{33}$) of poled polymer films at the 1064 nm fundamental wavelength is around 2.42 pm/V. The dipole alignment exhibits high thermal stability up to near $T_g$, and there is no SHG decay below $100^{\circ}C$ due to the partial main-chain character of polymer structure, which is acceptable for NLO device applications.

Performance of Urea-Formaldehyde Resins Synthesized at Two Different Low Molar Ratios with Different Numbers of Urea Addition

  • Jeong, Bora;Park, Byung-Dae
    • Journal of the Korean Wood Science and Technology
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    • v.47 no.2
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    • pp.221-228
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    • 2019
  • This study reports the performance of urea-formaldehyde (UF) resins prepared at two different low formaldehyde/urea (F/U) mole ratios with different numbers of urea addition during synthesis. The second or third urea was added during the synthesis of UF resins to obtain two different low molar ratios of 0.7 and 1.0, respectively. The molecular weights, cure kinetics, and adhesion performance of these resins were characterized by the gel permeation chromatography, differential scanning calorimetry, and tensile shear strength of plywood, respectively. When the number of urea additions and F/U molar ratio increased, the gelation time decreased, whereas the viscosity and molecular weight increased. Further, the UF resins prepared with the second urea and 1.0 molar ratio resulted in greater activation energy than those with third urea and 0.7 molar ratio. Tensile shear strength and formaldehyde emission (FE) of the plywood that bonded with these resins increased when the number of urea additions and molar ratio increased. These results suggest that the UF resins prepared with 0.7 molar ratio and third urea addition provide lower adhesion performance and FE than those resins with 1.0 mole ratio and the second urea addition.

A new approach for predicting sulfate ion concentration in concrete

  • Mohammad Ghanooni-Bagha;Mohsen Ali Shayanfar;Sajad Momen
    • Computers and Concrete
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    • v.33 no.1
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    • pp.1-11
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    • 2024
  • Aggressive environmental conditions, and especially the acidic effects of sulfate ion penetration, have reduced the lifetime of concrete structures in some areas, especially coastal and marine areas. In this research, at first, samples made of type II and V cement were kept in a solution of magnesium sulfate (MgSO4) for a period of 90 and 180 days, the change of appearance. Field Emission Scanning Electron Microscopy (FE-SEM) and X-Ray Diffraction (XRD), were used to analyze the microstructure and the complex mineral composition of the concrete after exposure to corrosive environments. Then solving the differential equation governing the sulfate ion penetration, which is based on the second Fick law, it has been tried to determine the concentration of sulfate ions inside the concrete. In the following, an attempt has been made to improve the prediction of sulfate ion concentration in concrete by using Crank's penetration equation. At the same time, the coefficient in the Crank's solution have been optimized by using the Particle Swarm Optimization (PSO algorithm). The comparison between the results shows that the values obtained from Crank's relation are closer to the experimental results than the equation obtained from Fick's second law and shows a more accurate prediction.