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검색결과 408건 처리시간 0.018초

Radii of Starlikeness and Convexity for Analytic Functions with Fixed Second Coefficient Satisfying Certain Coefficient Inequalities

  • MENDIRATTA, RAJNI;NAGPAL, SUMIT;RAVICHANDRAN, V.
    • Kyungpook Mathematical Journal
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    • 제55권2호
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    • pp.395-410
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    • 2015
  • For functions $f(z)=z+a_2z^2+a_3z^3+{\cdots}$ with ${\mid}a_2{\mid}=2b$, $b{\geq}0$, sharp radii of starlikeness of order ${\alpha}(0{\leq}{\alpha}<1)$, convexity of order ${\alpha}(0{\leq}{\alpha}<1)$, parabolic starlikeness and uniform convexity are derived when ${\mid}a_n{\mid}{\leq}M/n^2$ or ${\mid}a_n{\mid}{\leq}Mn^2$ (M>0). Radii constants in other instances are also obtained.

Scientific and Engineering Applications of Full-field Swept-source Optical Coherence Tomography

  • Mehta, Dalip Singh;Anna, Tulsi;Shakher, Chandra
    • Journal of the Optical Society of Korea
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    • 제13권3호
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    • pp.341-348
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    • 2009
  • We report the development of full-field swept-source optical coherence tomography (SS-OCT) in the wavelength range of 815-870 nm using a unique combination of super-luminescent diode (SLD) as broad-band light source and acousto-optic tunable filter (AOTF) as a frequency-scanning device. Some new applications of full-field SS-OCT in forensic sciences and engineering materials have been demonstrated. Results of simultaneous topography and tomography of latent fingerprints, silicon microelectronic circuits and composite materials are presented. The main advantages of the present system are completely non-mechanical scanning, wide-field, compact and low-cost.

Weyl Type Theorems for Unbounded Hyponormal Operators

  • GUPTA, ANURADHA;MAMTANI, KARUNA
    • Kyungpook Mathematical Journal
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    • 제55권3호
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    • pp.531-540
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    • 2015
  • If T is an unbounded hyponormal operator on an infinite dimensional complex Hilbert space H with ${\rho}(T){\neq}{\phi}$, then it is shown that T satisfies Weyl's theorem, generalized Weyl's theorem, Browder's theorem and generalized Browder's theorem. The equivalence of generalized Weyl's theorem with generalized Browder's theorem, property (gw) with property (gb) and property (w) with property (b) have also been established. It is also shown that a-Browder's theorem holds for T as well as its adjoint $T^*$.

HYDROGEN USE IN INTERNAL COMBUSTION ENGINE: A REVIEW

  • Kumar, Vasu;Gupta, Dhruv;Kumar, Naveen
    • International Journal of Advanced Culture Technology
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    • 제3권2호
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    • pp.87-99
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    • 2015
  • Fast depletion of fossil fuels is urgently demanding a carry out work for research to find out the viable alternative fuels for meeting sustainable energy demand with minimum environmental impact. In the future, our energy systems will need to be renewable and sustainable, efficient and cost-effective, convenient and safe. Hydrogen is expected to be one of the most important fuels in the near future to meet the stringent emission norms. The use of the hydrogen as fuel in the internal combustion engine represents an alternative use to replace the hydrocarbons fuels, which produce polluting gases such as carbon monoxide (CO), hydro carbon (HC) during combustion. In this paper contemporary research on the hydrogen-fuelled internal combustion engine can be given. First hydrogen-engine fundamentals were described by examining the engine-specific properties of hydrogen and then existing literature were surveyed.

A Novel Route to New Bis(benzopyrano) Fused Dihydropyridines Using Dry Media

  • Kidwai, Mazaahir;Rastogi, Shweta;Mohan, Richa
    • Bulletin of the Korean Chemical Society
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    • 제25권1호
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    • pp.119-121
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    • 2004
  • A new and efficient synthesis of the novel bioactive bis(benzopyrano) fused dihydropyridines is described. The conventionally developed route is a two step multicomponent condensation reaction. This is latter modified by a one pot microwave (MW) assisted reaction using inorganic solid support via the arylidene derivative intermediate. With this environmentally benign approach, the reaction time is brought down from hours to minutes along with a yield enhancement. Furthermore, the role of different solid supports is studied and it is concluded that the acidic alumina is the best solid support for the present investigation.

Base Catalysed Pyrimidine Synthesis Using Microwave

  • Kidwai, M.;Rastogi, S.;Saxena, S.
    • Bulletin of the Korean Chemical Society
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    • 제24권11호
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    • pp.1575-1578
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    • 2003
  • An environmentally benign approach for the synthesis of 2-substituted-4,6-diaryl pyrimidines using inorganic solid supports for its catalytic role as well as an energy transfer medium is described. The methodology eliminates the usage of solvent during the reaction. The reaction time is brought down from hours to minutes along with yield enhancement. The rate enhancement and high yield is attributed to the coupling of solvent free conditions with microwaves. Further, the role of base is studied in the reaction and it is concluded that microwave assisted basic alumina catalysed reaction is the best in terms of catalysis as well as reaction time and yield.

Partial optional randomized response technique with calibration weighting to adjust non-response in successive sampling

  • Priyanka, Kumari;Trisandhya, Pidugu;Kumar, Ajay
    • Communications for Statistical Applications and Methods
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    • 제28권5호
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    • pp.493-510
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    • 2021
  • The present article endeavours to develop partial optional randomized - response technique (PORT) to deal with sensitive issues in presence of non-response in successive sampling. Calibration techniques have been embedded with PORT to estimate sensitive population mean at current move in two move successive sampling in presence of non-response. Optimum calibration weights are computed at each move with the aid of constraints based on auxiliary information. Detailed properties of the proposed estimators have been discussed. Possible cases in which non-response may creep at two moves has been explored. The proposed technique has been compared with the modified existing technique. Simulation results indicate that the proposed technique is more efficient than existing, modified one. Suitable recommendations are forwarded.

H-TOEPLITZ OPERATORS ON THE BERGMAN SPACE

  • Gupta, Anuradha;Singh, Shivam Kumar
    • 대한수학회보
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    • 제58권2호
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    • pp.327-347
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    • 2021
  • As an extension to the study of Toeplitz operators on the Bergman space, the notion of H-Toeplitz operators B�� is introduced and studied. Necessary and sufficient conditions under which H-Toeplitz operators become co-isometry and partial isometry are obtained. Some of the invariant subspaces and kernels of H-Toeplitz operators are studied. We have obtained the conditions for the compactness and Fredholmness for H-Toeplitz operators. In particular, it has been shown that a non-zero H-Toeplitz operator can not be a Fredholm operator on the Bergman space. Moreover, we have also discussed the necessary and sufficient conditions for commutativity of H-Toeplitz operators.

Diversity characteristics of four-element ring slot-based MIMO antenna for sub-6-GHz applications

  • Vipul Kaushal;Amit Birwal;Kamlesh Patel
    • ETRI Journal
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    • 제45권4호
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    • pp.581-593
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    • 2023
  • This paper proposes four-ring slot resonator-based MIMO antennas of 75×150 mm2 without and with CSRR structures in the sub-6-GHz range. These orthogonal-fed antennas have shown diverse characteristics with dual polarization. L-shaped parasitic structures have increased the isolation (i.e., >40 dB) in the single-element antenna over the band of 3.4 GHz-3.8 GHz. A set of three CSRR structures in the MIMO antenna reduced the coupling between antenna ports placed in an inline arrangement and enhanced the isolation from 12 dB to 20 dB and the diversity characteristics. The S-parameters of both MIMO antennas are measured and used to evaluate MIMO parameters like ECC, TARC, MEG, and channel capacity loss. The simulation results show the variations in the gain and directivity on exciting linear and dual polarizations. The diversity performance of the reported MIMO antennas is suitable for 5G applications.

TOPOLOGICAL SENSITIVITY AND ITS STRONGER FORMS ON SEMIFLOWS

  • Ruchi Das;Devender Kumar;Mohammad Salman
    • 대한수학회보
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    • 제61권1호
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    • pp.247-262
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    • 2024
  • In this paper we introduce and study the notions of topological sensitivity and its stronger forms on semiflows and on product semiflows. We give a relationship between multi-topological sensitivity and thick topological sensitivity on semiflows. We prove that for a Urysohn space X, a syndetically transitive semiflow (T, X, 𝜋) having a point of proper compact orbit is syndetic topologically sensitive. Moreover, it is proved that for a T3 space X, a transitive, nonminimal semiflow (T, X, 𝜋) having a dense set of almost periodic points is syndetic topologically sensitive. Also, wherever necessary examples/counterexamples are given.