• Title/Summary/Keyword: differential forms

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Parametric Design of Complex Hull Forms

  • Kim Hyun-Cheol;Nowacki Horst
    • Journal of Ship and Ocean Technology
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    • v.9 no.1
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    • pp.47-63
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    • 2005
  • In the present study, we suggest a new method for designing complex ship hull forms with multiple domain B-spline surfaces accounting for their topological arrangement, where all subdomains are fully defined in terms of form parameters, e.g., positional, differential and integral descriptors. For the construction of complex hull forms, free-form elementary models such as forebody, afterbody and bulbs are united by Boolean operation and blending surfaces in compliance with the sectional area curve (SAC) of the whole ship. This new design process in this paper is called Sectional Area Curve-Balanced Parametric Design (SAC-BPD).

A Prediction Method for Three-Dimensional Boundary Layers on Ship Forms at Zero Froude Number

  • Shin-Hyoung,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.18 no.2
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    • pp.7-20
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    • 1981
  • A method to predict the three-dimensional turbulent boundary layer on ship forms is introduced. The present differential method is in the scope of thin boundary layer theory and adopting the eddy-viscosity turbulence model. Two different numerical schemes are taken in this paper to handle the sign-changing cross-flows. The method is applied to predict the boundary layer development on real ship forms; SSPA Model 720($C_B$=0.675) and HSVA Tanker Model($C_B$=0.85). The results are qualitatively in good agreements with measurements except at the very stern. Therefore the method seems to be very promising if further developments are accomplished to handle the thick stern boundary layer effectively.

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cDNA Cloning of Farnesoic Acid-Induced Genes in Candida albicans by Differential Display Analysis

  • CHUNG SOON-CHUN;LEE JI-YOON;OH KI-BONG
    • Journal of Microbiology and Biotechnology
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    • v.15 no.5
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    • pp.1146-1151
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    • 2005
  • The yeast Candida albicans has a distinguishing feature, dimorphism, which is the ability to switch between two morphological forms: a budding yeast form and a multicellular invasive filamentous form. This ability has been postulated to contribute to the virulence of this organism. Previously, we reported that the yeast-to-hypha transition in this organism is suppressed by farnesoic acid, a morphogenic autoregulatory substance that accumulates in the medium as the cells proliferate. In this study, using a differential display reverse transcription polymerase chain reaction (DDRT-PCR) technique, we have identified several genes induced in C. albicans by farnesoic acid treatment. These observations indicate that farnesoic acid can alter the expressivity of multiple genes, including the DNA replication machinery and cell-cycle-control proteins.

Non-linear distributed parameter system estimation using two dimension Haar functions

  • Park Joon-Hoon;Sidhu T.S.
    • Journal of information and communication convergence engineering
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    • v.2 no.3
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    • pp.187-192
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    • 2004
  • A method using two dimension Haar functions approximation for solving the problem of a partial differential equation and estimating the parameters of a non-linear distributed parameter system (DPS) is presented. The applications of orthogonal functions, including Haar functions, and their transforms have been given much attention in system control and communication engineering field since 1970's. The Haar functions set forms a complete set of orthogonal rectangular functions similar in several respects to the Walsh functions. The algorithm adopted in this paper is that of estimating the parameters of non-linear DPS by converting and transforming a partial differential equation into a simple algebraic equation. Two dimension Haar functions approximation method is introduced newly to represent and solve a partial differential equation. The proposed method is supported by numerical examples for demonstration the fast, convenient capabilities of the method.

First Order Differential Subordinations and Starlikeness of Analytic Maps in the Unit Disc

  • Singh, Sukhjit;Gupta, Sushma
    • Kyungpook Mathematical Journal
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    • v.45 no.3
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    • pp.395-404
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    • 2005
  • Let α be a complex number with 𝕽α > 0. Let the functions f and g be analytic in the unit disc E = {z : |z| < 1} and normalized by the conditions f(0) = g(0) = 0, f'(0) = g'(0) = 1. In the present article, we study the differential subordinations of the forms $${\alpha}{\frac{z^2f^{{\prime}{\prime}}(z)}{f(z)}}+{\frac{zf^{\prime}(z)}{f(z)}}{\prec}{\alpha}{\frac{z^2g^{{\prime}{\prime}}(z)}{g(z)}}+{\frac{zg^{\prime}(z)}{g(z)}},\;z{\in}E,$$ and $${\frac{z^2f^{{\prime}{\prime}}(z)}{f(z)}}{\prec}{\frac{z^2g^{{\prime}{\prime}}(z)}{g(z)}},\;z{\in}E.$$ As consequences, we obtain a number of sufficient conditions for star likeness of analytic maps in the unit disc. Here, the symbol ' ${\prec}$ ' stands for subordination

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Effect of Crystal Form on Dissolution of Prednisolone (프레드니솔론의 용출에 미치는 결정형의 영향)

  • Sohn, Young-Taek;Do, Eui-Sun
    • Journal of Pharmaceutical Investigation
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    • v.33 no.2
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    • pp.99-103
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    • 2003
  • Four different crystal forms of prednisolone, two polymorphic forms and two pseudopolymorphic forms, were obtained by the recrystallization from different organic solvents under varying conditions. The isolated crystal forms were characterized by differential scanning calorimetry (DSC), thermogravimetric analysis (TGA) and X-ray powder diffraction (XRD). Form 1 was the most stable form that had the highest melting point and melt at $250.1^{\circ}C$. Form 2 was a monohydrate and Form 3 was a methanol solvate. The endothermic peak of Form 4 was shown at $230.2^{\circ}C$. When stored at different relative humidity over the period of 3 months, all of the modifications did not undergo transformation. The dissolution patterns of these four modifications were also checked in distilled water at $37{\pm}0.5^{\circ}C$, for 120 minutes. The dissolution rate of Form 4 was highest and those of Form 3, Form 2, Form 1 followed. Form 2, Form 3 and Form 4 had higher dissolution rate than Form 1.

Numerical Analysis on the Development of an Undularbore (Undular Bore의 발생과정에 관한 수치 해석)

  • Bea, Heon-Meen;Kim, In-Chull
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.22 no.2
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    • pp.31-35
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    • 1986
  • A bore is a transition between different uniform flows of water. If a long wave of elevation travels in shallow water it steepens and forms a bore. The bore is undular if the change in surface elevation of the wave is less than 0.28 of the original depth of water. This paper describes the growth of an undular bore from a long wave which forms a gentle transition between a uniform flow and still water. A physical account of its development is followed by the results of numerical calculations. Finite-difference approximations are used in the partial differential equations of motion. For undular bores, numerical calculations show that (i) the relationship between relative elevation and relative velocity given by long wave theory is approached for an undular bore, (ii) the amplitude of first crest of an undular bore approaches a finite limit approximately at an exponential rate, and (iii) the distance between the first two crests increases without bound, approximately logarithmically.

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Simons' Type Formula for Kaehlerian Slant Submanifolds in Complex Space Forms

  • Siddiqui, Aliya Naaz;Shahid, Mohammad Hasan;Jamali, Mohammed
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.149-165
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    • 2018
  • A. Bejancu [2] was the first who instigated the new concept in differential geometry, i.e., CR-submanifolds. On the other hand, CR-submanifolds were generalized by B. Y. Chen [7] as slant submanifolds. Further, he gave the notion of a Kaehlerian slant submanifold as a proper slant submanifold. This article has two objectives. For the first objective, we derive Simons' type formula for a minimal Kaehlerian slant submanifold in a complex space form. Then, by applying this formula, we give a complete classification of a minimal Kaehlerian slant submanifold in a complex space form and also obtain its some immediate consequences. The second objective is to prove some results about semi-parallel submanifolds.

Crystal Form of Olmutinib

  • Lee, Chang-Yeob;Sohn, Young-Taek
    • Journal of the Korean Chemical Society
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    • v.63 no.1
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    • pp.7-11
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    • 2019
  • Olmutinib, N-[3-({2-[4-(4-methylpiperazine-1-yl)aniline]thieno[3,2-d]Pyrimidin-4-yl}oxy)phenyl]prop-2-enamide dihydrochloride monohydrate, $Olita^{TM}$ is an oral, third-generation epidermal growth factor receptor tyrosine kinase inhibitor (EGFR TKI) that was developed by Boehringer Ingelheim and Hanmi Pharmaceutical Co. Ltd for the treatment of non-small cell lung cancer (NSCLC). The aim of this work was to investigate the existence of polymorphs and pseudopolymorphs of olmutinib. Three crystal forms of olmutinib have been isolated by recrystallization and characterized by differential scanning calorimetry (DSC), thermogravimetric (TG) analysis and powder X-ray diffractometry (PXRD). From the DSC and TG data it was confirmed that Form 1 is monohydrate, Form 2 is dihydrate, Form 3 is 1.5 hydrate. The PXRD patterns of three crystal forms were different respectively. After storage of 1 month at $2^{\circ}C$, 24% RH (Relative Humidity), Form 1, Form 2, and Form 3 were not transformed.