• Title/Summary/Keyword: evolute

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PARTIAL SUMS AND INCLUSION RELATIONS FOR STARLIKE FUNCTIONS ASSOCIATED WITH AN EVOLUTE OF A NEPHROID CURVE

  • Gurpreet Kaur ;Sumit Nagpal
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1477-1496
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    • 2023
  • A class of normalized univalent functions f defined in an open unit disk of the complex plane is introduced and studied such that the values of the quantity zf'(z)/f(z) lies inside the evolute of a nephroid curve. The inclusion relations of the newly defined class with other subclasses of starlike functions and radius problems concerning the second partial sums are investigated. All the obtained results are sharp.

A Characterization of Involutes and Evolutes of a Given Curve in 𝔼n

  • Ozturk, Gunay;Arslan, Kadri;Bulca, Betul
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.117-135
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    • 2018
  • The orthogonal trajectories of the first tangents of the curve are called the involutes of x. The hyperspheres which have higher order contact with a curve x are known osculating hyperspheres of x. The centers of osculating hyperspheres form a curve which is called generalized evolute of the given curve x in n-dimensional Euclidean space ${\mathbb{E}}^n$. In the present study, we give a characterization of involute curves of order k (resp. evolute curves) of the given curve x in n-dimensional Euclidean space ${\mathbb{E}}^n$. Further, we obtain some results on these type of curves in ${\mathbb{E}}^3$ and ${\mathbb{E}}^4$, respectively.

The Internet Business Model of Selling Products or Services (제품/서비스를 판매 및 이용하는 인터넷 비즈니스 모델)

  • 이기백;최문기
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2000.04a
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    • pp.165-173
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    • 2000
  • Some people think that the Internet is a tool of making the current market as a perfect competition market and that the business model of selling products or services is not attractive. But research of this issue propose that the Internet give us new challenge of business. The objective of this study is to analyze the properties of Internet and Internet business and to evolute the Internet business model of selling products or services and to suggest survival strategies in fierce competition circumstances.

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ASSOCIATED CURVES OF CHARGED PARTICLE MOVING WITH THE EFFECT OF MAGNETIC FIELD

  • Muhammed Talat Sariaydin;Aziz Yazla
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.589-598
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    • 2023
  • Magnetic curves are the trajectories of charged particals which are influenced by magnetic fields and they satisfy the Lorentz equation. It is important to find relationships between magnetic curves and other special curves. This paper is a study of magnetic curves and this kind of relationships. We give the relationship between β-magnetic curves and Mannheim, Bertrand, involute-evolute curves and we give some geometric properties about them. Then, we study this subject for γ-magnetic curves. Finally, we give an evaluation of what we did.

Enhanced thermostability and substrate susceptibility of esteraseusing directed evolution

  • Choe, Gi-Seop;Kim, Ji-Hui;Kim, Geun-Jung;Yu, Yeon-U
    • 한국생물공학회:학술대회논문집
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    • 2003.10a
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    • pp.480-484
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    • 2003
  • A stereoselective-hydrolysing enzyme was cloned from Pseudomonas fluorescens KCTC1767 which had high enantiomeric activity toward (S)-ketoprofen ethyl ester. Analyses of typical properties resulted in low thermostability and substrate specificity. A round error-prone PCR and StEP(STaggered Extension Process) was adopted to evolute this character. As a result, the best clone 6-52 was selected which was represented to increased thermostability(40 fold) compared to wild type enzyme in $50^{\circ}C$. Additionally, specific activity toward (S)-ketoprofen ethyl ester and p-nitrophenyl derivatives improved 3 fold and 1.5 fold, respectively. DNA sequence analyses was showed some exchanged amino acid residue that was L120p, 1208v, T249A, D287H and T357A. Which the 120th's leucine substituted for proline was presumed structurally important residue concerning with catalytic activity.

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A Chemotherapy-Diffusion Model for the Cancer Treatment and Initial Dose Control

  • Abdel-Gawad, Hamdy Ibrahim;Saad, Khaled Mmohamed
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.395-410
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    • 2008
  • A one site chemotherapy agent-diffusion model is proposed which accounts for diffusion of chemotherapy agent, normal and cancer cells. It is shown that, by controlling the initial conditions, consequently an initial dose of the chemotherapy agent, the system is guaranteed to evolute towards a target equilibrium state. Or, growth of the normal cells occurs against decay of the cancer cells. Effects of diffusion of chemotherapy-agent and cells are investigated through numerical computations of the concentrations in square and triangular cancer sites.

Survey study on the using state of dentin bonding systems in Korea (상아질 접착 시스템의 국내 사용 동향에 관한 연구)

  • Kim, Mul Kyel;Kim, Kwang-Mahn
    • The Journal of the Korean dental association
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    • v.54 no.10
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    • pp.780-788
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    • 2016
  • Dentin bonding systems are unique dental materials which are rapidly evolute and essential materials for bonding of restorative materials to dentin. Now, 4th generation, 5th generation, 6th generation and 7th generation of dentin bonding systems are used in clinic. We investigated the frequency, motivation of choosing dentin bonding systems and satisfaction of them by survey in 2014. 5th generation of dentin bonding systems are mostly used in Korea and young dentist have tendency to choose newly developed dentin bonding systems.

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Profile Design of the Inner Rotor of a Gerotor by the Composite Curve of Circular Arcs (원호조합곡선에 의한 제로터 내부로터의 형상설계)

  • Lee Sung-Chul
    • Tribology and Lubricants
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    • v.22 no.2
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    • pp.79-86
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    • 2006
  • As the gerotor set with ideal profile meshes too tight, the reduction in the size of the rotor is generally adopted for a smooth operation. In this paper, a method of the profile modification for providing clearances was proposed. The meshing properties of the gerotor were analyzed and the non-boundary section of the inner rotor was identified, which denoted that the adjacent chambers were in the same pressure state. Clearances were imposed on the non-boundary section of the inner rotor, and then the profile of that section was modified as a composite curve of arcs. The other sections of the inner rotor were also interpolated as arcs. Thus, the whole profile of the inner rotor was designed as a composite curve of arcs.

A Study of Contemporary Fashion Industry According as the Change of Customer's Cultural Trend - Focusing on the 'Meme' Theory of Richard Dowkins - (소비자 문화 트렌드 변화에 따른 현대 패션산업 특성 고찰 - 리처드 도킨스의 밈(meme) 이론을 중심으로 -)

  • Yang, Hee-Young
    • Journal of the Korea Fashion and Costume Design Association
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    • v.15 no.4
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    • pp.83-99
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    • 2013
  • This research is a follow-up study about analysis on the many different customer groups and their various culture trend, which intends to realize diverse values depending on the sense. The purpose of this study was to develop direction forecast for the future fashion industry through consideration about the characteristics of contemporary fashion industry by the change of different customer's culture trend. And also try to find solution to survival strategy of fashion fields able to evolve with customer. Change of the customer's cultural trend draws a shift in policy in the 21st fashion industry as follows : 1) mash-up 2) complexation through decentering and blurring 3) invisible and immaterial value oriented 4) expansion of minor small market. Moreover, this shows sociocultural meaning as follows. First is spread of flexible and horizontal relationship through collaborative consumption and collaboration. Second is concentration on floating and indeterminate chance through dismantling of various different fashion categories. Third is formation of the permanent difference by selection and focus. Last is expansion of understanding about cultural-ecology. Customer cultural trend is 'meme' of cultural gene in fashion field, so it intends to co-evolute with customer by continuous change.

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Role of Symbol and Formation of Intuition by the Mediation of Symbols in Geometric Proof (기하 증명에서 기호의 역할과 기호 중재에 의한 직관의 형성)

  • Kim, Hee;Kim, Sun-Hee
    • Journal of Educational Research in Mathematics
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    • v.20 no.4
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    • pp.511-528
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    • 2010
  • Students' intuition in formal proof should be expressed as symbols according to the deductive process. The symbol will play a role of the mediation between the intuition and the formal proof. This study examined the evolution process of intuition mediated by the symbol in geometry proof. According to the results first, symbol took the great roles when students had the non-formed intuition for the proposition. The signification of symbols could explain even the proof process of the proposition with the non-expectable intuition. And when students proved it by symbols, not by figure nor words, they could evolute the conclusive intuition about the proposition.

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