• Title/Summary/Keyword: New class

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A NEW CLASS OF DOUBLE INTEGRALS

  • Anil, Aravind K.;Prathima, J.;Kim, Insuk
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권2호
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    • pp.111-117
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    • 2021
  • In this paper we aim to establish a new class of six definite double integrals in terms of gamma functions. The results are obtained with the help of some definite integrals obtained recently by Kim and Edward equality. The results established in this paper are simple, interesting, easily established and may be useful potentially.

Nomenclature of emerging therapeutics in neurology

  • Shin, Jin-Hong;Park, Young-Eun;Kim, Dae-Seong
    • Annals of Clinical Neurophysiology
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    • 제23권1호
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    • pp.29-34
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    • 2021
  • New therapeutics in neurology are expanding at an unprecedented pace. In addition to the classic enzyme-replacement therapies, monoclonal antibodies are increasingly being used to modulate autoimmunity. RNA therapeutics are an emerging class, together with gene and cell therapies. The nomenclature of international nonproprietary names helps us to recognize these new drugs according to their class and function. Suffixes denote major categories of the drug, while infixes provide additional information such as the source and target.

MODULAR TRANSFORMATION FORMULAE COMING FROM GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES AND INFINITE SERIES IDENTITIES

  • Lim, Sung Geun
    • 호남수학학술지
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    • 제43권2호
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    • pp.221-237
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    • 2021
  • B. C. Berndt has found modular transformation formulae for a large class of functions coming from generalized Eisenstein series. Using those formulae, he established a lot of infinite series identities, some of which explain many infinite series identities given by Ramanujan. Continuing his work, the author proved a lot of new infinite series identities. Moreover, recently the author found transformation formulae for a class of functions coming from generalized non-holomorphic Eisenstein series. In this paper, using those formulae, we evaluate a few new infinite series identities which generalize the author's previous results.

APPLICATION OF GEGENBAUER POLYNOMIALS TO CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS OF ORDER ν + iς

  • Omar Alnajar;Ala Amourah;Maslina Darus
    • Korean Journal of Mathematics
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    • 제32권1호
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    • pp.183-193
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    • 2024
  • In this paper, a new class of bi-univalent functions that are described by Gegenbauer polynomials is presented. We obtain the estimates of the Taylor-Maclaurin coefficients |m2| and |m3| for each function in this class of bi-univalent functions. In addition, the Fekete-Szegö problems function new are also studied.

Spectral Properties of k-quasi-class A(s, t) Operators

  • Mecheri, Salah;Braha, Naim Latif
    • Kyungpook Mathematical Journal
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    • 제59권3호
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    • pp.415-431
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    • 2019
  • In this paper we introduce a new class of operators which will be called the class of k-quasi-class A(s, t) operators. An operator $T{\in}B(H)$ is said to be k-quasi-class A(s, t) if $$T^{*k}(({\mid}T^*{\mid}^t{\mid}T{\mid}^{2s}{\mid}T^*{\mid}^t)^{\frac{1}{t+s}}-{\mid}T^*{\mid}^{2t})T^k{\geq}0$$, where s > 0, t > 0 and k is a natural number. We show that an algebraically k-quasi-class A(s, t) operator T is polaroid, has Bishop's property ${\beta}$ and we prove that Weyl type theorems for k-quasi-class A(s, t) operators. In particular, we prove that if $T^*$ is algebraically k-quasi-class A(s, t), then the generalized a-Weyl's theorem holds for T. Using these results we show that $T^*$ satisfies generalized the Weyl's theorem if and only if T satisfies the generalized Weyl's theorem if and only if T satisfies Weyl's theorem. We also examine the hyperinvariant subspace problem for k-quasi-class A(s, t) operators.

A CLASS OF MAPPINGS BETWEEN Rz-SUPERCONTINUOUS FUNCTIONS AND Rδ-SUPERCONTINUOUS FUNCTIONS

  • Prasannan, A.R.;Aggarwal, Jeetendra;Das, A.K.;Biswas, Jayanta
    • 호남수학학술지
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    • 제39권4호
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    • pp.575-590
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    • 2017
  • A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].

Design of Two-Stage Class AB CMOS Buffers: A Systematic Approach

  • Martin, Antonio Lopez;Miguel, Jose Maria Algueta;Acosta, Lucia;Ramirez-Angulo, Jaime;Carvajal, Ramon Gonzalez
    • ETRI Journal
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    • 제33권3호
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    • pp.393-400
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    • 2011
  • A systematic approach for the design of two-stage class AB CMOS unity-gain buffers is proposed. It is based on the inclusion of a class AB operation to class A Miller amplifier topologies in unity-gain negative feedback by a simple technique that does not modify quiescent currents, supply requirements, noise performance, or static power. Three design examples are fabricated in a 0.5 ${\mu}m$ CMOS process. Measurement results show slew rate improvement factors of approximately 100 for the class AB buffers versus their class A counterparts for the same quiescent power consumption (< 200 ${\mu}W$).

SOME CLASSES OF OPERATORS RELATED TO (m, n)-PARANORMAL AND (m, n)*-PARANORMAL OPERATORS

  • Shine Lal Enose;Ramya Perumal;Prasad Thankarajan
    • 대한수학회논문집
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    • 제38권4호
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    • pp.1075-1090
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    • 2023
  • In this paper, we study new classes of operators k-quasi (m, n)-paranormal operator, k-quasi (m, n)*-paranormal operator, k-quasi (m, n)-class 𝒬 operator and k-quasi (m, n)-class 𝒬* operator which are the generalization of (m, n)-paranormal and (m, n)*-paranormal operators. We give matrix characterizations for k-quasi (m, n)-paranormal and k-quasi (m, n)*-paranormal operators. Also we study some properties of k-quasi (m, n)-class 𝒬 operator and k-quasi (m, n)-class 𝒬* operators. Moreover, these classes of composition operators on L2 spaces are characterized.

새로운 달 위상 모형의 개발과 그 적용 (The Development and Application of the New Model of Moon Phases)

  • 채동현
    • 한국초등과학교육학회지:초등과학교육
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    • 제27권4호
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    • pp.385-398
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    • 2008
  • 본 연구의 목적은 달 위상 변화 모형이 예비 초등 교사들의 개념 변화에 미치는 효과를 알아보는 것이다. 연구자는 연구 참여에 동의한 2명의 예비 초등 교사들과의 사전 면담 직후에 달 위상 변화 모형을 이용한 수업을 실시하였다. 한 달 뒤 사전면담 내용과 똑같은 내용은 '달 모양을 그림으로 그려 설명해 보세요.', '달 모양에 따른 태양, 지구, 달의 위치관계를 그림으로 그려 설명해 보세요.', '달의 위상 변화 원인을 무엇이라고 생각합니까?', '달이 한 쪽 면만 보이는 이유를 그림을 그려 설명해 보세요.'로 구성되었다. 연구 결과는 다음과 같다. 첫째, 달 위상 변화 모형을 이용한 수업은 태양, 지구, 달을 평면이 아닌 입체적으로 생각하도록 하여 달의 모양이 지구의 그림자 때문이라는 오개념을 바꾸는데 도움을 주었다. 둘째, 달 위상 변화 모형을 이용한 수업은 예비 초등 교사들로 하여금 달의 모양에 따른 태양, 지구, 달의 위치관계를 바르게 이해하는데 도움을 주었다. 셋째, 달 위상 변화 모형을 이용한 수업은 예비 초등 교사들에게 달 위상 변화 원인에 대한 과학적 개념을 형성하게 하는데 도움을 주었다. 넷째, 달이 한쪽 면만 보이는 이유에 대한 학습은 달 위상 변화 모형을 이용하여 설명하기에는 부적절한 것으로 나타났다. 이상의 연구 결과를 토대로 연구자는 본 모형이 가진 한계점을 인식하고 좌표계에 대한 명확한 구분과 이해를 바탕으로 달 위상 변화 모형을 수업에 이용할 경우, 학습자의 공간지각력 향상 및 달의 위상 변화를 이해하는데 도움을 줄 수 있다는 것을 제안하였다.

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