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DUALITY OF WEIGHTED SUM FORMULAS OF ALTERNATING MULTIPLE T-VALUES

  • Xu, Ce
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1261-1278
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    • 2021
  • Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.

Note : Proof of the Conjecture on the Consistent Advantage of the Newsvendor Model under Progressive Multiple Discounts (노트 : 점진적 복수할인이 있는 뉴스벤더모델의 상시 이점에 대한 추측 증명)

  • Won, You-Kyung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.37 no.3
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    • pp.13-21
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    • 2012
  • In this note, a recent work in Won (2011) which investigates properties of the newsvendor model under progressive multiple discounts is revisited and a complete proof is provided for the conjecture on the consistent advantage of progressive multiple discounts over no-discounts in terms of the expected profit. The proof considers the generalized newsvendor model under progressive multiple discounts extended with positive shortage cost and salvage value which have not been considered in the previous newsvendor models under progressive multiple discounts. Without relying on derivatives, we prove that the expected profit under progressive multiple discounts are consistently greater than or equal to the one under no-discounts for every order quantity as far as her multiple discounts do not decrease customer demand, and therefore, the optimal expected profit under progressive multiple discounts is always greater than or equal to the one under no-discounts. As by-products from the proof, some interesting features of the generalized newsvendor model under progressive multiple discounts are revealed.

Multiple Sluicing in English

  • Park, Myung-Kwan;Kang, Jung-Min
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2007.11a
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    • pp.394-404
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    • 2007
  • This paper explores the nature of multiple sluicing in English, which has two or more remnant wh-phrases in clause edge position. At the beginning part of the paper we argue against Nishigauchi's (1998) and Lasnik's (2007) Gapping analysis of multiple sluicing, which says that two remnant wh-phrases each actually occupies the left and right edge of a clause, with the in-between string of words undergoing Gapping. We rather argue that multiple sluicing in English is the same kind as found in Bulgarian and Serbo-Croatian. In other words, multiple sluicing in English is also derived by multiple wh-fronting which otherwise does not apply. We demonstrate that some important properties of the construction noted by Lmultiple sluicing, multiple wh-movement/fronting, sluicing, TP/IP-deletion, asnik (2007) under the Gapping approach to it can be accounted for in a principled way by our proposed analysis.

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Nonorthogonal multiple access multiple input multiple output communications with harvested energy: Performance evaluation

  • Toi Le-Thanh;Khuong Ho-Van
    • ETRI Journal
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    • v.46 no.3
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    • pp.432-445
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    • 2024
  • This paper demonstrates improved throughput and energy efficiency of wireless communications by exploiting nonorthogonal multiple access (NOMA), multiple input-multiple output (MIMO), and radio frequency energy harvesting (EH) technologies. To assess the performance of NOMA MIMO communications with EH (MMe), we consider the nonlinear characteristics of EH devices and propose explicit expressions for throughput and outage probability. Based on our results, the system performance is significantly mitigated by EH nonlinearity and is considerably improved by increasing the number of antennas. Additionally, by appropriately adjusting the system parameters, our NOMA MMe innovation can avert complete outages while optimizing system performance. Moreover, the results demonstrate the superiority of the NOMA MMe over its orthogonal multiple access MMe counterparts.

SOME RECURRENCE RELATIONS OF MULTIPLE ORTHOGONAL POLYNOMIALS

  • Lee, Dong-Won
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.673-693
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    • 2005
  • In this paper, we first find a necessary and sufficient condition for the existence of multiple orthogonal polynomials by the moments of a pair of measures $(d{\mu},\;dv)$ and then give representations for multiple orthogonal polynomials. We also prove four term recurrence relations for multiple orthogonal polynomials of type II and several interesting relations for multiple orthogonal polynomials are given. A generalized recurrence relation for multiple orthogonal polynomials of type I is found and then four term recurrence relations are obtained as a special case.

Target classification in indoor environments using multiple reflections of a SONAR sensor (초음파의 다중반사 특성을 이용한 실내공간에서의 목표물 인식에 관한 연구)

  • 류동연;박성기;권인소
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1738-1741
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    • 1997
  • This paper addresses the issue fo target classification and localization with a SONAR for mobiler robot indoor navigation. In particular, multiple refetions of SONAR sound are used actively and interntionally. As for the SONAR sensor, the multiple reflection has been generally considered as one of the noisy phenomena, which is inevitable in the indoor environments. However, these multiple reflections can be a clue for classifying and localizing targets in the indoor environment if those can be controlled and used well. This paper develops a new SONAR sensor module with a reflection plane which can actively create the multiple refection. This paper also intends to suggest a new target classification emthod which uses the multiple refectiions. We approximate the world as being two dimensional and assume that the targets consisting of the indoor environment are pland, corner, and edge. Multiple reflection paths of an acoustic bean by a SONAR are analyzed, by simulations and the patterns of the TOPs (Time Of Flight) and angles of multiple reflections from each target are also analyzed. In addition, a new algorithm for target classification and localization is proposed.

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Multiple Case Marking Constructions in Korean Revisited

  • Ryu, Byong-Rae
    • Language and Information
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    • v.17 no.2
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    • pp.1-27
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    • 2013
  • This paper presents a unified approach to multiple nominative and accusative constructions in Korean. We identify 16 semantic relations holding between two consecutive noun phrases (NPs) in multiple case marking constructions, and propose each semantic relation as a licensing condition on double case marking. We argue that the multiple case marking constructions are merely the sequences of double case marking, which are formed by dextrosinistrally sequencing the pairs of the same-case marked NPs of same or different type. Some appealing consequences of this proposal include a new comprehensive classification of the sequences of same-case NPs and a straightforward account of some long standing problems such as how the additional same-case NPs are licensed, and in what respects the multiple nominative marking and the multiple accusative marking are alike and different from each other.

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Study on Promotion of the Maintenance Engineers for Multiple Dwellings (공동주택의 유지관리전문인력 육성에 관한 연구)

  • Park, Sang Hoon
    • KIEAE Journal
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    • v.10 no.4
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    • pp.29-37
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    • 2010
  • The industrialized countries have promoted the rehabilitation of existing housing units as a national agenda, such as green policies, whereas korea, although having a housing stock as huge as that of world countries, have focused on the growth of housing by constructing new units rather than rehabilitating existing ones. Today, it has been so long since many multiple dwellings in Seoul and in the vicinity of Seoul were constructed. There were, however, very few political efforts to encourage the rehabilitation of housing. Today, substantial time has passed since multiple dwellings in Seoul and the first-stage new cities such as Bundang and Ilsan were constructed. What is required to maintain the quality of the existing housing and use it with safety is to promote the engineer of maintenance for multiple dwellings to work the maintenance of existing multiple dwellings. The objective of this study is to compare and analyze the maintenance qualification system of multiple dwellings of Japan, and then to propose to raise engineers of maintenance for multiple dwellings in korea.

Comparison of Multi-intelligence of gifted students and their parents' perception of their children (영재학생의 다중지능과 그 학부모가 인식하는 자녀에 대한 다중지능의 비교)

  • Ryu, Hyunah
    • East Asian mathematical journal
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    • v.37 no.4
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    • pp.381-400
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    • 2021
  • In this study, we compare the multiple intelligence of gifted students with the multiple intelligence of their children recognized by their parents. The subjects of the study are 118 students and their parents at the gifted education center affiliated with A University. First of all, there is a difference between the multiple intelligence of gifted students and the multiple intelligence recognized by their parents. Parents are highly regarded their children in all multiple intelligence components. Second, there are differences in multiple intelligence of gifted students' gender. The difference in multiple intelligence of children recognized by parents depending on the gender of the student was similar to the student's results. Third, there are not much difference in multiple intelligence between elementary and middle school students. However, there is a big difference between students and parents in the elementary school group compared to the middle school students. Therefore, since multi-intelligence can be developed by individual experience and environment throughout one's life, an educational environment that reflects objective evaluation and student needs rather than parental subjective judgment should be created.

Multiple Instance Mamdani Fuzzy Inference

  • Khalifa, Amine B.;Frigui, Hichem
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.4
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    • pp.217-231
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    • 2015
  • A novel fuzzy learning framework that employs fuzzy inference to solve the problem of Multiple Instance Learning (MIL) is presented. The framework introduces a new class of fuzzy inference systems called Multiple Instance Mamdani Fuzzy Inference Systems (MI-Mamdani). In multiple instance problems, the training data is ambiguously labeled. Instances are grouped into bags, labels of bags are known but not those of individual instances. MIL deals with learning a classifier at the bag level. Over the years, many solutions to this problem have been proposed. However, no MIL formulation employing fuzzy inference exists in the literature. Fuzzy logic is powerful at modeling knowledge uncertainty and measurements imprecision. It is one of the best frameworks to model vagueness. However, in addition to uncertainty and imprecision, there is a third vagueness concept that fuzzy logic does not address quiet well, yet. This vagueness concept is due to the ambiguity that arises when the data have multiple forms of expression, this is the case for multiple instance problems. In this paper, we introduce multiple instance fuzzy logic that enables fuzzy reasoning with bags of instances. Accordingly, a MI-Mamdani that extends the standard Mamdani inference system to compute with multiple instances is introduced. The proposed framework is tested and validated using a synthetic dataset suitable for MIL problems. Additionally, we apply the proposed multiple instance inference to fuse the output of multiple discrimination algorithms for the purpose of landmine detection using Ground Penetrating Radar.