• Title/Summary/Keyword: ${\Delta}$-convergence

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Enhanced Block-Based Adaptive Loop Filter with Multiple Symmetric Structures for Video Coding

  • Lee, Ha-Hyun;Lim, Sung-Chang;Choi, Hae-Chul;Jeong, Se-Yoon;Kim, Jong-Ho;Choi, Jin-Soo
    • ETRI Journal
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    • v.32 no.4
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    • pp.626-629
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    • 2010
  • In this letter, we present an enhanced block-based adaptive loop filter (E-BALF) with multiple filter symmetric structures. The E-BALF adapts various filter symmetric structures in a rate-distortion optimization sense, reflecting the statistical properties of each image in a video sequence. Experimental results show that the proposed method achieves a reduction in the Bj${\phi}$ntegaard delta (BD)-bitrate by an average of 9.60% compared with Joint Model 11.0 of H.264/AVC. Compared to the state-of-the-art BALF, a reduction of up to 1.13% in BD-bitrate is achieved.

On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function

  • Atici, Gulcan;Bektas, Cigdem Asma
    • Kyungpook Mathematical Journal
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    • v.51 no.4
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    • pp.385-393
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    • 2011
  • The aim of this paper is to introduce and study the sequence spaces [w, ${\theta}$, F, p, q]$_{\infty}({\Delta}_{\upsilon}^m)$, [w, ${\theta}$, F, p, q]$_1({\Delta}_{\upsilon}^m)$ and [w, ${\theta}$, F, p, q]$_0({\Delta}_{\upsilon}^m)$, which arise from the notions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli $F=(f_k)$. We establish some inclusion relations between these spaces under some conditions.

A Note on Spliced Sequences and A-density of Points with respect to a Non-negative Matrix

  • Bose, Kumardipta;Sengupta, Sayan
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.47-63
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    • 2019
  • For $y{\in}{\mathbb{R}}$, a sequence $x=(x_n){\in}{\ell}^{\infty}$, and a non-negative regular matrix A, Bartoszewicz et. al., in 2015, defined the notion of the A-density ${\delta}_A(y)$ of the indices of those $x_n$ that are close to y. Their main result states that if the set of limit points of ($x_n$) is countable and density ${\delta}_A(y)$ exists for any $y{\in}\mathbb{R}$ where A is a non-negative regular matrix, then ${\lim}_{n{\rightarrow}{\infty}}(Ax)_n={\sum}_{y{\in}{\mathbb{R}}}{\delta}_A(y){\cdot}y$. In this note we first show that the result can be extended to a more general class of matrices and then consider a conjecture which naturally arises from our investigations.

On $L^1(T^1)$ - Convergence of Fourier Series with BV - Class Coefficients (BV - 족 계수를 갖는 푸리에 급수의 $L^1(T^1)$ - 수렴성에 관하여)

  • Lee, Jung-Oh
    • Journal of Integrative Natural Science
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    • v.1 no.3
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    • pp.216-220
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    • 2008
  • In general the Banach space $L^1(T^1)$ doesn't admit convergence in norm. Thus the convergence in norm of the partial sums can not be characterized in terms of Fourier coefficients without additional assumptions about the sequence$\{^{\^}f(\xi)\}$. The problem of $L^1(T^1)$-convergence consists of finding the properties of Fourier coefficients such that the necessary and sufficient condition for (1.2) and (1.3). This paper showed that let $\{{\alpha}_{\kappa}\}{\in}BV$ and ${\xi}{\Delta}a_{\xi}=o(1),\;{\xi}{\rightarrow}{\infty}$. Then (1.1) is a Fourier series if and only if $\{{\alpha}_{\kappa}\}{\in}{\Gamma}$.

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ON THE C-NETS

  • Lee, Seung On;Pi, Young Jin;Oh, Ji Hyun
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.109-117
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    • 2010
  • In this paper, we define the concept of a c-net and study the convergence of c-nets. Also we show that a c-net in a topological space X has a convergent sub-c-net if and only if X is a $Lindel{\ddot{o}}f$ space, if every $G_{\delta}$ set is open in X.

CONVERGENCE THEOREMS FOR A PAIR OF ASYMPTOTICALLY AND MULTIVALUED NONEXPANSIVE MAPPING IN CAT(0) SPACES

  • AKKASRIWORN, NAKNIMIT;SOKHUMA, KRITSANA
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.177-189
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    • 2015
  • In this paper, we prove ${\Delta}$-convergence theorems for Ishikawa iteration of asymptotically and multivalued nonexpansive mapping in CAT(0) spaces. This results we obtain are analogs of Banach spaces results of Sokhuma [13].

A Low-Power Design of Delta-Sigma Based Digital Frequency Synthesizer for Bio Sensor Networks (의료용 센서 네트워크를 위한 저전력 델타 시그마 디지털 주파수 합성기 설계)

  • Bae, Jung-Nam;Kim, Jin-Young
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.5
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    • pp.193-197
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    • 2017
  • In this paper, we present a low-power delta-sigma based digital frequency synthesizer with high frequency resolution for bio sensor networks. Biomedical radio-frequency (RF) transceivers require miniaturized forms with a long battery life and low power consumption. For the technology scaling, digital circuits have become preferable compared to analog circuits because of the aggressive cost, size, flexibility, and repeatability. Therefore, the digital circuits based on standard-cell library are used to reduce a power consumption. Additionally, a delta-sigma is used for making fractional frequency tuning range. From the simulation, we confirmed that proposed scheme has good performance in accordance with power and frequency resolution.

Internalization of Rat FSH and LH/CG Receptors by rec-eCG in CHO-K1 Cells

  • Park, Jong-Ju;Seong, Hun-Ki;Kim, Jeong-Soo;Munkhzaya, Byambaragchaa;Kang, Myung-Hwa;Min, Kwan-Sik
    • Development and Reproduction
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    • v.21 no.2
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    • pp.111-120
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    • 2017
  • Equine chorionic gonadotropin (eCG) is a unique molecule that elicits the response characteristics of both follicle-stimulating hormone (FSH) and luteinizing hormone (LH) in other species. Previous studies from this laboratory had demonstrated that recombinant eCG (rec-eCG) from Chinese hamster ovary (CHO-K1) cells exhibited both FSH- and LH-like activity in rat granulosa and Leydig cells. In this study, we analyzed receptor internalization through rec-eCGs, wild type eCG ($eCG{\beta}/{\alpha}$) and mutant eCG ($eCG{\beta}/{\alpha}{\Delta}56$) with an N-linked oligosaccharide at $Asn^{56}$ of the ${\alpha}-subunit$. Both the rec-eCGs were obtained from CHO-K1 cells. The agonist activation of receptors was analyzed by measuring stimulation time and concentrations of rec-eCGs. Internalization values in the stably selected rat follicle-stimulating hormone receptor (rFSHR) and rat luteinizing/chorionic gonadotropin receptor (rLH/CGR) were highest at 50 min after stimulation with 10 ng of $rec-eCG{\beta}/{\alpha}$. The dose-dependent response was highest when 10 ng of $rec-eCG{\beta}/{\alpha}$ was used. The deglycosylated $eCG{\beta}/{\alpha}{\Delta}56$ mutant did not enhance the agonist-stimulated internalization. We concluded that the state of activation of rFSHR and rLH/CGR could be modulated through agonist-stimulated internalization. Our results suggested that the eLH/CGRs are mostly internalized within 60 min by agonist-stimulation by rec-eCG. We also suggested that the lack of responsiveness of the deglycosylated $eCG{\beta}/{\alpha}{\Delta}56$ was likely because the site of glycosylation played a pivotal role in agonist-stimulated internalization in cells expressing rFSHR and rLH/CGR.

A Convergence Study on the Remineralizing Effect of Domestically Sold Fluoride Varnish Using QLF-D (QLF-D를 활용한 국내 시판 불소 바니쉬의 재광화 효과에 대한 융합적 연구)

  • Goak, Min-Seo;Lee, Su-Young
    • Journal of the Korea Convergence Society
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    • v.8 no.1
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    • pp.89-96
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    • 2017
  • This study is to analyze seven fluoride varnishes remineralizing effects on early carious lesions in the clinical field. While CS, MI, CW, VV, EP, FP and FN were used for permanent teeth, CS, MI, CW and FP were used for primary teeth. The specimens were demineralized for 4 days after forming a $3{\times}3mm^2$ window with nail varnish, applied with varnishes separately, then were stirred in artificial saliva for 1 week. QLF-D analysis of carious lesion size showed that permanent teeth's ${\Delta}F$ value decreased after applying CS(4,64), MI(4.86), CW(4.50), and EP(5.50), while for primary teeth, FP(3.00) and MI(3.00) displayed a remineralizing effect. Thus, MI can be used effectively for preventing caries for both adults and children in the clinical field.

The Analysis of Binocular Vision Function by measuring Accommodative Convergence(AC/A) (조절성 폭주비(AC/A) 측정에 의한 양안시 기능 분석)

  • Kang, In-San;Seo, Yong-Won;Choi, Ji-Young
    • Journal of Korean Ophthalmic Optics Society
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    • v.10 no.3
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    • pp.159-164
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    • 2005
  • Accommodation and convergence is combination movement which is closely connected with each other. When one of them is stimulated, both of functions occur at the same time. Specially, the convergence by the accommodation's stimulation is called as accommodative convergence. That has excess or deficiency according to refraction state of eye. This study was performed by using both of Gradient method and Heterophoria method to 41 adults who have no any ophthalmic disease. 1. As the result of investigation about the distribution of heterophoria at distance, there were orthophoria of 5 subjects, exophoria of 32 and esophoria of 4. Exoporia occupied at the hightest rate. The distribution of heterophoria at near cover a wider range more than at distance. 2. When we measured the horizontal heterophoria amount in the state of relaxation of accommodation power of lens, exophoria amount increased in case of 38 subjects. 3. The person who has $4{\sim}6{\Delta}/D$ which conform to normal AC/A ratio occupied 27 subjects(66%) in Heterophoria method and 16(39%) in Gradient method, respectively.

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