• Nonlinear Functional Analysis and Applications
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• 제28권4호
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• pp.919-928
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• 2023

Let P(z) be a polynomial of degree n and P(z) ≠ 0 in |z| < 1. Then for every real α and R > 1, Aziz [1] proved that $$\max\limits_{{\mid}z{\mid}=1}{\mid}P(Rz)-P(z){\mid}{\leq}{\frac{R^n-1}{2}}(M^2_{\alpha}+M^2_{{\alpha}+{\pi}})^{\frac{1}{2}}{\mid},$$ where $$M{\alpha}={\max\limits_{1{\leq}k{\leq}n}}{\mid}P(e^{i({\alpha}+2k{\pi})n}){\mid}.$$ In this paper, we establish some improvements and generalizations of the above inequality concerning the polynomials and their ordinary derivatives.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제31권1호
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• pp.49-56
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• 2024

For a Polynomial P(z) = Σⁿ_j=0 a_jz^j with a_j ≥ a_j-1, a₀ > 0 (j = 1, 2, ..., n), a classical result of Enestrom-Kakeya says that all the zeros of P(z) lie in |z| ≤ 1. This result was generalized by A. Joyal et al. [3] where they relaxed the non-negative condition on the coefficents. This result was further generalized by Dewan and Bidkham [9] by relaxing the monotonicity of the coefficients. In this paper, we use some techniques to obtain some more generalizations of the results [3], [8], [9].

• Journal of applied mathematics & informatics
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• 제42권1호
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• pp.15-29
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• 2024

Many academics employ various structures to expand topological space, including the idea of topology, as a result of the importance of topological space in analysis and some applications. One of the most notable of the generalizations was the definition of perfect functions in bitopological spaces, which was presented by Ali.A.Atoom and H.Z.Hdeib. We propose the notion of α- pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise -T - α- perfect functions, pairwise -α-irr-perfect functions, and pairwise -T - α- irr-perfect functions, are all characterized in addition to pairwise -α-perfect functions. We go through their primary characteristics and show how they interact. Finally, under these functions, we introduce the images and inverse images of certain bitopological features. About these concepts, some product theorems have been discovered.

• 보건교육건강증진학회지
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• 제7권1호
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• pp.10-26
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• 1990

In Korean education, the health contents are scattered in various course subjects throughtout the primary and junior high school curriculum. So it is very difficult to provide systematic health education. The purpose of this study was to provide a guide for health education using health topic areas and major concepts that represent the scope of material that should be covered in health instruction. The steps used in selecting these health topic areas and major concepts were as follows: 1. A review of the literature related to health and health education was done to develop the rationale underlying this study. 2. Health topic areas basic to the growth and development characteristics of children, to human needs and to societal needs for healthful living were indentified. 3. The major concepts for each health topic area based on health sciences and children's growth and development levels were selected. 4. The major concepts selected were organized in sequence to guide health education from grade one to grade nine. The results of this study were as follows: 1. The identification of eleven health topic areas essential for health education. These include: personal habits and health healthy growth and development nutrition and health prevention of disease and disorders drugs and health mental health family life and health sex education accident prevention consumer health community health 2. The identification of the major concepts(generalizations) for each health topic area: 33 major concepts were identified as a guide in determining the health content of health education programs. These are 1) body cleaniness, 2) health of the sensory organs, 3) dental health, 4) exercise and rest, 5) growth and development, 6) body structure and function, 7) developmental tasks, 8) balanced nutrition, 9) eating habits, 10) food preparation and food storage, 11) sources of disease and disorders, 12) disease preventive behavior, 13) care during illness, 14) drug use and misuse, 15) drug addiction, 16) emotional responses, 17) human relationship, 18) self concept, 19) social adjustment, 20) health habits of the family, 21) interdependence of family members, 22) origin of life, 23) characteristics of man and woman, 24) sexual instinct, 25) safety behavior, 26) emergency measures, 27) criteria for selection of health products, 28) proper use of health information, 29) utilization of health and medical services, 30) environmental conservation, 31) environmental pollution, 32) population control, 33) function of public health services. 3. The organization of the concepts(generalizations) in sequence and for continuity in health instruction at the primary and junior high school level.

• Kyungpook Mathematical Journal
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• 제59권4호
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• pp.603-615
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• 2019

Let R be an associative unital ring with an endomorphism α and α-derivation δ. The constant products of elements in Ore extension rings, when the coefficient ring is reversible, is investigated. We show that if f(x) = ∑ⁿ_i=0 a_ixⁱ and g(x) = ∑^m_j=0 b_jx^j be nonzero elements in Ore extension ring R[x; α, δ] such that g(x)f(x) = c ∈ R, then there exist non-zero elements r, a ∈ R such that rf(x) = ac, when R is an (α, δ)-compatible ring which is reversible. Among applications, we give an exact characterization of the unit elements in R[x; α, δ], when the coeficient ring R is (α, δ)-compatible. Furthermore, it is shown that if R is a weakly 2-primal ring which is (α, δ)-compatible, then J(R[x; α, δ]) = N iℓ(R)[x; α, δ]. Some other applications and examples of rings with this property are given, with an emphasis on certain classes of NI rings. As a consequence we obtain generalizations of the many results in the literature. As the final part of the paper we construct examples of rings that explain the limitations of the results obtained and support our main results.

• 디지털융복합연구
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• 제10권1호
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• pp.445-453
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• 2012

최근 게임산업의 발전과 더불어 한편에서는 게임의 부작용에 대해서 우려를 표하고 있다. 이에 대한 일반화를 방지하기 위해서라도 게임의 다양화에 대한 노력은 필요하다. 그 일면으로 소셜네트워크 게임이라는 것이 대두되고 있다. 특히 몰입이라는 요소는 대중을 대상으로 하는 게임 개발에서는 간과에서는 안 될 중요한 요소이다. 본 연구에서는 몰입에 관한 기존 연구를 분석하고 라프코스터의 재미이론을 통해 추출된 요인을 기반으로 소셜네트워크 게임 사례분석을 통해 몰입 원인을 제시하였다.

• 한국언어정보학회:학술대회논문집
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• 한국언어정보학회 2002년도 Language, Information, and Computation Proceedings of The 16th Pacific Asia Conference
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• pp.411-420
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• 2002

The left-associative grammar model (LAG) has been applied successfully to the morphologic and syntactic analysis of various european and asian languages. The algebraic definition of the LAG is very well suited for the application to natural language processing as it inherently obeys de Saussure's second law (de Saussure, 1913, p. 103) on the linear nature of language, which phrase-structure grammar (PSG) and categorial grammar (CG) do not. This paper describes the so-called Loom-LAGs (LLAG) -a specialization of LAGs for the analysis of natural language. Whereas the only means of language-independent abstraction in ordinary LAG is the principle of possible continuations, LLAGs introduce a set of more detailed language-independent generalizations that form the so-called loom of a Loom-LAG. Every LLAG uses the very smut loom and adds the language-specific information in the form of a declarative description of the language -much like an ancient mechanised Jacquard-loom would take a program-card providing the specific pattern for the cloth to be woven. The linguistic information is formulated declaratively in so-called syntax plans that describe the sequential structure of clauses and phrases. This approach introduces the explicit notion of phrases and sentence structure to LAG without violating de Saussure's second law iud without leaving the ground of the original algebraic definition of LAG, LLAGS can in fact be shown to be just a notational variant of LAG -but one that is much better suited for the manual development of syntax grammars for the robust analysis of free texts.

• 한국동물학회지
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• 제7권1호
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• pp.1-5
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• 1964

Triglycin 수용액에 미치는 gamma 선의 영향을 low voltage electrophoresis, paper chromatography 및 carbonyl 화합물정량의 세 방법으로 연구하여 다음 결과를 얻었다. 1. 조사된 triglycine 분해산물중 한 성분이 동 ion 과 산화합물을 이루었으며 triglycine에 비하여 높은 음전성을 나타내었다. 2. 조사된 triglycine 분해산물중 다섯 성분이 paper chromatography 에 의해 분리되었으며 이중 둘이 동정되었다. 3. 조사된 triglycine 으로부터 생성되는 carbonly 화합물의 양은 $5{\times}10^{20}\;ev/ml$ 까지는 증가하였으며 이로부터 $1.9{\times}10^{21}\;ev/ml$ 까지의 고선량에서는 오히려 감소를 나타내어 complex system내에 있어서 이차반응에 관여함을 알 수 있었다. 4. 조사된 triglycine에서 glycine을 분리함으로써 peptide bond 의 가수분해의 가능성을 보여주었다.

• 대한수학회논문집
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• 제33권2호
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• pp.549-560
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• 2018

Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.

• Ocean and Polar Research
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• 제23권4호
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• pp.323-335
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• 2001

Distribution features of foulers attached on 28 ships of 6 main shipping routes (SR) of the Far East Sea Basin were analyzed using various statistical methods. Collections obtained during 1976-1990 in the expeditions by the Institute of Marine Biology were used for the analyses. Samples were taken from the ships during anchorage by SCUBA diving and from dry-docks of Vladivostok ship-repairing yard. In all cases, the distribution patterns of most animals and algal species showed clear contagious patterns. Total biomass of fouling organisms and biomass of attached animals frequently increased along the horizontal direction of ship hulls, from the stem to the sternpost. Animal and algal species were usually located at different sites of the hulls. According to the increasing floating speed, there was, a clear tendency of the displacement in main fouling biomass from the stem to the stem. Any generalizations and deductions concerning the distribution patterns of the foulers from the same SR ships are not always substantiated, but one may see some similarities of the fouler distributions in many cases. Micro-scale turbulence generated by water flow around a ship hull for the distribution of fouling organisms is discussed.