• Title/Summary/Keyword: $L_1$-convergence

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A Note on Complete Convergence in $C_{0}(R)\;and\;L^{1}(R)$ with Application to Kernel Density Function Estimators ($C_0(R)$$L^1(R)$의 완전수렴(完全收斂)과 커널밀도함수(密度函數) 추정량(推定量)의 응용(應用)에 대(對)한 연구(硏究))

  • Lee, Sung-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.3 no.1
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    • pp.25-31
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    • 1992
  • Some results relating to $C_{0}(R)\;and\;L^{1}(R)$ spaces with application to kernel density estimators will be introduced. First, random elements in $C_{0}(R)\;and\;L^{1}(R)$ are discussed. Then, complete convergence limit theorems are given to show that these results can be used in establishing uniformly consistency and $L^{1}$ consistency.

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Changes in Growth of Microgreens and Substrate Nutrients by Seed Mixture Rate in Indoor Agriculture (실내 도시농업에서 혼합파종 비율에 따른 어린잎채소의 생육 및 배지 양분 변화)

  • Ju, Jin-Hee;Park, Sun-Young;Song, Hee-Yeon;Yoon, Yong-Han
    • Journal of Environmental Science International
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    • v.31 no.7
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    • pp.569-577
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    • 2022
  • This study aimed to evaluate the growth of Cichorium intybus, Brassica juncea, and Lactuca sativa at varying seed ratios, and to suggest an efficient management plan for sustainable indoor agriculture systems. It was treated with mixed sowing as follows: 30 chicory seeds (chicory alone: CC), 22 chicory seeds + 8 lettuce seeds (C3L1), 20 chicory seeds + 10 lettuce seeds (C2L1), 15 chicory seeds + 15 lettuce seeds (C1L1) as intraspecies, and 30 mustard seeds (mustard alone: MC), 22 mustard seeds + 8 lettuce seeds (M3L1), 20 mustard seeds + 10 lettuce seeds (M2L1), 15 mustard seeds + 15 lettuce seeds (M1L1) as interspecies. The study identified the competitive response in seed germination between Cichorium intybus and Lactuca sativa, and in the C3L1 experimental group, Lactuca sativa had the highest leaf length, root length, chlorophyll content, and fresh weight. Therefore, the higher the ratio of Cichorium intybus, the higher the growth and productivity of Lactuca sativa; however, higher the ratio of Lactuca sativa, the lower the growth of Cichorium intybus. Furthermore, the nitrogen and potassium content in the substrate was the highest in the C3L1 experimental grorp which had the highest seeding rate of the Cichorium intybus. Comparing the groups Brassica juncea and Lactuca sativa, the higher the seeding ratio of Lactuca sativa, the higher the growth and productivity of Brassica juncea. Therefore, a companion seeding of Brassica juncea and Lactuca sativa is beneficial; this could be effective in having a high seeding ratio of Lactuca sativa.

On Multipliers of Lattice Implication Algebras for Hierarchical Convergence Models (계층적 융합모델을 위한 격자함의 대수의 멀티플라이어)

  • Kim, Kyoum-Sun;Jeong, Yoon-Su;Yon, Yong-Ho
    • Journal of Convergence for Information Technology
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    • v.9 no.5
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    • pp.7-13
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    • 2019
  • Role-based access or attribute-based access control in cloud environment or big data environment need requires a suitable mathematical structure to represent a hierarchical model. This paper define the notion of multipliers and simple multipliers of lattice implication algebras that can implement a hierarchical model of role-based or attribute-based access control, and prove every multiplier is simple multiplier. Also we research the relationship between multipliers and homomorphisms of a lattice implication algebra L, and prove that the lattice [0, u] is isomorphic to a lattice $[u^{\prime},1]$ for each $u{\in}L$ and that L is isomorphic to $[u,1]{\times}[u^{\prime},1]$ as lattice implication algebras for each $u{\in}L$ satisfying $u{\vee}u^{\prime}=1$.

FUZZY CONVERGENCE THEORY - I

  • MONDAL K. K.;SAMANTA S. K.
    • The Pure and Applied Mathematics
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    • v.12 no.1
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    • pp.75-91
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    • 2005
  • The main objective of this paper is to introduce the gradation of neigh-bourhoodness in L-fuzzy topology and to introduce the fuzziness in the concept of convergence of L-fuzzy nets.

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ON MARCINKIEWICZ'S TYPE LAW FOR FUZZY RANDOM SETS

  • Kwon, Joong-Sung;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.55-60
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    • 2014
  • In this paper, we will obtain Marcinkiewicz's type limit laws for fuzzy random sets as follows : Let {$X_n{\mid}n{\geq}1$} be a sequence of independent identically distributed fuzzy random sets and $E{\parallel}X_i{\parallel}^r_{{\rho_p}}$ < ${\infty}$ with $1{\leq}r{\leq}2$. Then the following are equivalent: $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ a.s. in the metric ${\rho}_p$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in probability in the metric ${\rho}_p$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in $L_1$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in $L_r$ where $S_n={\Sigma}^n_{i=1}\;X_i$.

Convergence study of oxidative stress from fraction of Xanthium strumarium L. (도꼬마리 추출물의 산화적 스트레스에 대한 융합연구)

  • Min, Young-Sil
    • Journal of the Korea Convergence Society
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    • v.8 no.12
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    • pp.215-220
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    • 2017
  • Xanthium strumarium L. is an annual plant belongs to the family Asteraceae which is is called a 'Cocklebur' that is used for medicinal purposes. Convergent phyto-activity of various extracts of Xanthium strumarium L. (Asteraceae) was examined. We estimated antioxidant activity from ground part and fruit extract of X. strumarium using 1, 1-diphenyl-2-picrylhydrazyl radical (DPPH) and ABTS assay. The extract of X. strumarium was separated each fraction that of ethanol, petroleum ether, and ethyl acetate. It showed potent radical scavenging effect against the DPPH radical and ABTS. The study revealed that X. strumarium could be used as a potential source of natural antioxidant.

Novel Role of Dipterocarpus tuberculatus Roxb. as a Lipogenesis Inhibitor and Lipolysis Stimulator in 3T3-L1 Adipocytes (3T3-L1 지방세포에서 lipogenesis 저해제와 lipolysis 촉진제로서 Dipterocarpus tuberculatus Roxb.의 새로운 역할)

  • Su Jin, Lee;Ji Eun, Kim;Yun Ju, Choi;You Jeong, Jin;Yu Jeong, Roh;AYun, Seol;Hee Jin, Song;Dae Youn, Hwang
    • Journal of Life Science
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    • v.32 no.11
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    • pp.855-864
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    • 2022
  • The pharmacological efficacy of Dipterocarpus tuberculatus Roxb. has been verified in only several fields including photoaging, inflammation, hepatotoxicity, acute gastritis and osseointegration. To identify the novel functions of Dipterocarpus tuberculatus Roxb. on anti-obesity, inhibitory effect on lipid accumulation and stimulatory effect on lipolysis were investigated in MDI (3-isobutyl-1-methyl-xanthine, dexamethasone, and insulin) stimulated 3T3-L1 adipocytes treated with methanol extracts of Dipterocarpus tuberculatus Roxb. (MED). Lipogenic targets, including lipid accumulation, level of lipogenic transcription factors, and expression of lipogenic regulators, were downregulated in MDI-stimulated 3T3-L1 adipocytes treated with MED without any significant cytotoxicity. Also, MED treatment inhibited the mRNA levels of adipogenic targets including peroxisome proliferator-activated receptor (PPAR)γ and CCAAT-enhancer binding protein (C/EBP) α, as well as lipogeic targets including adipocyte fatty acid binding protein 2 (aP2) and fatty acid synthetase (FAS) in MDI-stimulated 3T3-L1 adipocytes. A similar decrease patterns were detected in Oil red O stained lipid droplets of MED treated MDI-stimulated 3T3-L1 adipocytes. Furthermore, several lipolytic targets, such as cAMP concentration, concentration of free glycerol, expression level of lipases, including ATGL, perilipin and HSL, were upregulated in MDI-stimulated 3T3-L1 adipocytes treated with MED. These results show that MED has a novel role as a lipogenesis inhibitor and lipolysis stimulator in MDI-stimulated 3T3-L1 adipocytes.

GPS L5 Acquisition Schemes for Fast Code Detection and Improved Doppler Accuracy

  • Joo, In-One;Sin, Cheon-Sig;Lee, Sang-Uk;Kim, Jae-Hoon
    • ETRI Journal
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    • v.32 no.1
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    • pp.142-144
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    • 2010
  • In this letter, we propose GPS L5 acquisition schemes to detect a fast code phase and improve the accuracy of the Doppler frequency. The proposed approach is based on the code-phase changes which occur during the acquisition processing time originating in the Doppler frequency. The proposed schemes detect a fast code phase within about 1 chip near the estimated code phase and improve the accuracy of the Doppler frequency by up to about 4 times in comparison with the popular Septentrio receiver. The feasibility of the proposed schemes is demonstrated through simulation.