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TWO-WEIGHTED CONDITIONS AND CHARACTERIZATIONS FOR A CLASS OF MULTILINEAR FRACTIONAL NEW MAXIMAL OPERATORS

  • Rui Li;Shuangping Tao
    • Journal of the Korean Mathematical Society
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    • v.60 no.1
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    • pp.195-212
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    • 2023
  • In this paper, two weight conditions are introduced and the multiple weighted strong and weak characterizations of the multilinear fractional new maximal operator 𝓜ϕ,β are established. Meanwhile, we introduce the ${\mathcal{S}}_{({\vec{p}},q),{\beta}}({\varphi})$ and $B_{({\vec{p}},q),{\beta}}({\varphi})$ conditions and obtain the characterization of two-weighted inequalities for 𝓜ϕ,β. Finally, the relationships of the conditions ${\mathcal{S}}_{({\vec{p}},q),{\beta}}({\varphi}),\,{\mathcal{A}}_{({\vec{p}},q),{\beta}}({\varphi})$ and $B_{({\vec{p}},q),{\beta}}({\varphi})$ and the characterization of the one-weight $A_{({\vec{p}},q),{\beta}}({\varphi})$ are given.

Symbol Error Probability of DVB-S2 System with I/Q Unbalances (I/Q 불균형이 고려된 DVB-S2 시스템의 심벌 오류 확률)

  • Im, In-Chul;Won, Seung-Chan;Yoon, Dong-Weon;Park, Sang-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.810-819
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    • 2007
  • The I/Q unbalance which is generated by non-ideal components such as a $90^{\circ}$ phase shifter and I/Q filters is an inevitable physical phenomenon and leads to performance degradation when we implement a coherent two-dimensional (2-D) modulation/demodulation system. This paper provides an exact and general expression for the SEP(symbol error probability) of DVB-S2 system with I/Q phase and amplitude unbalance over AWGN channel. Coordinate rotation and shift techniques used to redefine a received signal are key mathematical tools. In conclusion, the derived result is expressed as a linear combination of the 2-D Gaussian Q-functions.

Performance Comparison of ISO / IEC 18000-3 ASK and PJM Mode (ISO/IEC 18000-3 ASK 모드와 PJM 모드의 성능 비교)

  • Kim, Jae-Lim;Yang, Hoon-Gee
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.7 no.6
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    • pp.70-80
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    • 2008
  • This paper presents comparison of 18000-3 ASK and PJM mode RFID in terms of reading speed. This is accomplished by counting the occurrences of a few representative blocks which constitute the reader / tag interactions for each mode. To apply FS (frame slotted)-aloha protocol, four Q-algorithms, which are a Q-algorithm suggested in the standard document, a fixed Q-algorithm, a minimum Q-algorithm and the number of tag dependent Q-algorithm, are used. Through some simulations, we present the reading speed of each mode with respect to the Q-algorithm and the comparison of the reading speed between the two modes for each Q-algorithms.

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GENERAL TYPES OF (α,β)-FUZZY IDEALS OF HEMIRINGS

  • Jun, Y.B.;Dudek, W.A.;Shabir, M.;Kang, Min-Su
    • Honam Mathematical Journal
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    • v.32 no.3
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    • pp.413-439
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    • 2010
  • W. A. Dudek, M. Shabir and M. Irfan Ali discussed the properties of (${\alpha},{\beta}$)-fuzzy ideals of hemirings in [9]. In this paper, we discuss the generalization of their results on (${\alpha},{\beta}$)-fuzzy ideals of hemirings. As a generalization of the notions of $({\alpha},\;\in{\vee}q)$-fuzzy left (right) ideals, $({\alpha},\;\in{\vee}q)$-fuzzy h-ideals and $({\alpha},\;\in{\vee}q)$-fuzzy k-ideals, the concepts of $({\alpha},\;\in{\vee}q_m)$-fuzzy left (right) ideals, $({\alpha},\;\in{\vee}q_m)$-fuzzy h-ideals and $({\alpha},\;\in{\vee}q_m)$-fuzzy k-ideals are defined, and their characterizations are considered. Using a left (right) ideal (resp. h-ideal, k-ideal), we construct an $({\alpha},\;\in{\vee}q_m)$-fuzzy left (right) ideal (resp. $({\alpha},\;\in{\vee}q_m)$-fuzzy h-ideal, $({\alpha},\;\in{\vee}q_m)$-fuzzy k-ideal). The implication-based fuzzy h-ideals (k-ideals) of a hemiring are considered.

Improvement in Image Rejection of Multi-Port Junction-based Direct Receivers (다중 접합 기반 수신기의 영상 제거비 평가 및 향상 방법)

  • Park, Hyung Chul
    • Journal of the Institute of Electronics and Information Engineers
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    • v.49 no.9
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    • pp.43-48
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    • 2012
  • This paper presents an iterative single-frequency continuous-wave signal-based I/Q regeneration method for improving image-rejection performance of multi-port junction-based direct receivers (MPDRs). This paper analyzes I/Q regeneration in MPDRs as I/Q mismatch compensation for direct conversion receivers. Based on the analysis, this paper evaluates the accuracy of I/Q regeneration in terms of the image-rejection ratio (IRR). The proposed method improves the IRR performance more than 20 dB compared to existing I/Q regeneration methods. Simulation results show that MPDRs using the proposed method can achieve an IRR of more than 70 dB, and that the bit error rate performances are almost the same as those of conventional coherent demodulators, even in fading channels.

A Preliminary Study to the Validity of 'Attachment Q-set' as a Measuring Tool for 5 Years' Attachment (만 5세 애착측정도구로서의 '애착 Q-set' 예비 타당도 연구)

  • Seo, Seon Ok;Shim, Mi Kyung
    • Korean Journal of Child Studies
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    • v.36 no.3
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    • pp.175-194
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    • 2015
  • The purpose of this preliminary study was to investigate the validity of the 'Attachment Q-set' as a measuring tool for 5 years attachment stability. The subjects comprised 18 boys and 15 girls aged 5 in a daycare center in G city, in Kyongnam. The instruments used in this study were 'Attachment Q-set', ASCT, and IPPA-R. Based on experts' rating, the Q-set was modified, reducing it from 90 to 75 items, and used a Likert 5-points scale. ASCT scores as well as types were compared with the scores of the Q-set and IPPA-R. The attachment type was classified into either secure or insecure. The IPPA-R score of the secure infants was significantly higher than the insecure, and correlated with the ASCT score. However, there was no significant correlation between the Q-set score with the attachment types or the ASCT scores. The Q-set scores were partially correlated with the IPPA-R. This results were discussed in terms of the Q-set's invalidity for rating attachment levels of 5 years as well as the limitations imposed by the subjects' restrictive numbers.

Ordination Analysis on the Forest Communities of Mt. Changan , Chonbuk (序列法에 依한 全北 長安山 森林群落 分析)

  • Kim, Chang-Hwan;Kil, Bong-Seop
    • The Korean Journal of Ecology
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    • v.14 no.3
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    • pp.231-241
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    • 1991
  • The analyses of correlation, enviromental gradient, continuum and polar ordination methods were used for studing on relationships between forest vegetation and their habitats in Mt. changan, chagsu-gun, korea. influencing correlation of moisture index to the main 41species from the study area they were composed of several groups by leading species of quercus mongoulica, that of carpinus tschonoskii and that of fraxinus mandshurica. On the other hand, it was found three communities in different habitats by environmental gradient i.e. each community of f. mandshurica, mangnolia sieboldii and hydrangea serrata for. acuminata have occurred in moist place, that of c. teschonoskii and q. serrata, in mesic and that of q. mongolica, q.variabilis, rhododendron schlippenbachii, in dry. in addition an occupied distribution area was investigated according to continuum index e.g. cornus controversa,betula costata,q. variabilis, q. serrata and q. mongolica over altitudinal 800m were distributed to a habitat were forming climax by q. mongolica, and/or c. controversa, f. mandshurica, q. serrata and c. tschonoskii under altitudinal 800m were done, by g. tschonoskii. while the forest vegetation of the area was classified into 6 communities such as q. mongolica community, q. variabilis community,q. serrata community, g. tschonoskii community,c. controversa community and f. mandshurica community by means of polar ordination analysis and these have come under the influence of environmental factors.

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Preparation and Cellular Uptake of Hydrophobic Quantum Dots Encapsulated in Poly-L-Lactic Acid Film (소수성 양자점을 함유한 Poly-L-Lactic Acid film의 제조 및 세포흡수 연구)

  • Lee, Ji-Sook;Woo, Kyoung-Ja;Chung, He-Sson
    • Journal of Pharmaceutical Investigation
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    • v.39 no.1
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    • pp.1-6
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    • 2009
  • To overcome the stability problem of hydrophilic quantum dot (Q-dot), cellular uptake of hydrophobic instead of hydrophilic Q-dot was studied in the hope to find a simple method to use Q-dot as a cellular imaging probe. Hydrophobic Q-dot and poly-L-lactic acid (PLLA) were co-dissolved in chloroform to prepare stable films. Due to the cellular compatibility of PLLA, adherent cells were cultured on the film to observe the degree of Q-dot uptake and cytotoxicity of the prepared films. The results show that Q-dots were absorbed into NIH3T3 and EMT6 cells. Cellular uptake was also observed when hydrophobic Q-dots were coated directly on a glass plate. PLLA/Q-dot film and Q-dot coated on glass plate did not show major cytotoxicity. In vivo tumor model was also used to show the uptake of Q-dot from the PLLA/Q-dot film to the tumor site.

SELF-RECIPROCAL POLYNOMIALS WITH RELATED MAXIMAL ZEROS

  • Bae, Jaegug;Kim, Seon-Hong
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.983-991
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    • 2013
  • For each real number $n$ > 6, we prove that there is a sequence $\{pk(n,z)\}^{\infty}_{k=1}$ of fourth degree self-reciprocal polynomials such that the zeros of $p_k(n,z)$ are all simple and real, and every $p_{k+1}(n,z)$ has the largest (in modulus) zero ${\alpha}{\beta}$ where ${\alpha}$ and ${\beta}$ are the first and the second largest (in modulus) zeros of $p_k(n,z)$, respectively. One such sequence is given by $p_k(n,z)$ so that $$p_k(n,z)=z^4-q_{k-1}(n)z^3+(q_k(n)+2)z^2-q_{k-1}(n)z+1$$, where $q_0(n)=1$ and other $q_k(n)^{\prime}s$ are polynomials in n defined by the severely nonlinear recurrence $$4q_{2m-1}(n)=q^2_{2m-2}(n)-(4n+1)\prod_{j=0}^{m-2}\;q^2_{2j}(n),\\4q_{2m}(n)=q^2_{2m-1}(n)-(n-2)(n-6)\prod_{j=0}^{m-2}\;q^2_{2j+1}(n)$$ for $m{\geq}1$, with the usual empty product conventions, i.e., ${\prod}_{j=0}^{-1}\;b_j=1$.

A Study on Performance Requirement of I/Q Impairments for RF Implementation in W-CDMA User Equipment (W-CDMA 사용자장치 RF 구현을 위한 I/Q 열화성능요구규격 연구)

  • Lee, Il-Kyoo
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.19 no.1
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    • pp.148-154
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    • 2005
  • This paper deals with performance degradations caused by RF I/Q impairments such as amplitude mismatch and phase mismatch in W-CDMA user equipment which uses QPSK(Quadrature Phase Shift Keying) modulation. The impacts of I/Q impairments on the BER(Bit Error Rate) are analyzed by using the variations of adjacent symbol distance. The BER versus amplitude mismatch and phase mismatch with QPSK constellation is reviewed through Matlab simulation. Performance degradation produced by RF I/Q impairments is measured with the implemented RF transceiver and modulation/demodulation test equipments through EVM(Error Vector Magnitude). The minimum performance requirements of amplitude mismatch and phase mismatch in W-CDMA user equipment are presented from the point of hardware implementation and the test method of the impairments is also included.