• Title/Summary/Keyword: New class

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A NEW CLASS OF DOUBLE INTEGRALS

  • Anil, Aravind K.;Prathima, J.;Kim, Insuk
    • The Pure and Applied Mathematics
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    • v.28 no.2
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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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    • v.23 no.1
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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
    • Honam Mathematical Journal
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    • v.43 no.2
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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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    • v.32 no.1
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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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    • v.59 no.3
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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
    • Honam Mathematical Journal
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    • v.39 no.4
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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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    • v.33 no.3
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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
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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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.

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

  • Chae, Dong-Hyun
    • Journal of Korean Elementary Science Education
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    • v.27 no.4
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    • pp.385-398
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    • 2008
  • The purpose of this study is to understand the effect of The Model of Phases of the Moon on conception changes for preservice teachers. The researcher interviewed two preservice teachers under the agreement with them on their participation in the research just before he performed a class using The New Model of Phases of the Moon. The post-interview with the same content as the pre-interview was preformed one month later. The main content of the interview is as follows; 'Explain the shape of the Moon by drawing it.', 'Explain the relative different position among the Sun, Earth, and Moon depending on phases of the Moon by drawing them.', 'What do you think of the cause of phases of the Moon?', 'Draw a picture to explain why we always see only one side of the moon.' The results of the research are as follows. First, the class with New Model of Phases of the Moon was able to perceive the relationship of Sun, Earth, and Moon in three-dimensions rather than in two-dimensions and it helped to change their misconception that the Moon's shadow causes the Moon's shape. Secondly, the class with New Model of Phases of the Moon helped preservice teachers understand better the different positional relationships among the Sun, Earth, and Moon depending on the Moon shapes. Third, the class adopting the New Model of Phases of the Moon help preservice teachers form scientific conceptions on the causes of phase change of the Moon. Fourth, the class with the New Model of Phases of the Moon is not appropriate for explaining the reason why only one face of the Moon is seen. Based upon the results above, the researcher realized the limitation of this model and suggested that this model would help learners understand phase change of the Moon and increase space perception ability.

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