• Title/Summary/Keyword: b-open sets

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On the Almost Certain Rate of Convergence of Series of Independent Random Variables

  • Nam, Eun-Woo;Andrew Rosalsky
    • Journal of the Korean Statistical Society
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    • v.24 no.1
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    • pp.91-109
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    • 1995
  • The rate of convergence to a random variable S for an almost certainly convergent series $S_n = \sum^n_{j=1} X_j$ of independent random variables is studied in this paper. More specifically, when $S_n$ converges to S almost certainly, the tail series $T_n = \sum^{\infty}_{j=n} X_j$ is a well-defined sequence of random variable with $T_n \to 0$ a.c. Various sets of conditions are provided so that for a given numerical sequence $0 < b_n = o(1)$, the tail series strong law of large numbers $b^{-1}_n T_n \to 0$ a.c. holds. Moreover, these results are specialized to the case of the weighted i.i.d. random varialbes. Finally, example are provided and an open problem is posed.

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ASCOLI'S THEOREM AND THE PURE STATES OF A C*-ALGEBRA

  • Mckennon, Kelly
    • Kyungpook Mathematical Journal
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    • v.28 no.1
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    • pp.23-34
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    • 1988
  • A version of Ascoli's Theorem (equating compact and equicontinuous sets) is presented in the context of convergence spaces. This theorem and another, (involving equicontinuity) are applied to characterize compact subsets of quasi-multipliers of a $C^*$-algebra B, and to characterize the compact subsets of the state space of B. The classical Ascoli Theorem states that, for pointwise pre-compact families F of continuous functions from a locally compact space Y to a complete Hausdorff uniform space Z, equicontinuity of F is equivalent to relative compactness in the compact-open topology([4] 7.17). Though this is one of the most important theorems of modern analysis, there are some applications of the ideas inherent in this theorem which arc not readily accessible by direct appeal to the theorem. When one passes to so-called "non-commutative analysis", analysis of non-commutative $C^*$-algebras, the analogue of Y may not be relatively compact, while the conclusion of Ascoli's Theorem still holds. Consequently it seems plausible to establish a more general Ascoli Theorem which will directly apply to these examples.

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2D Artificial Data Set Construction System for Object Detection and Detection Rate Analysis According to Data Characteristics and Arrangement Structure: Focusing on vehicle License Plate Detection (객체 검출을 위한 2차원 인조데이터 셋 구축 시스템과 데이터 특징 및 배치 구조에 따른 검출률 분석 : 자동차 번호판 검출을 중점으로)

  • Kim, Sang Joon;Choi, Jin Won;Kim, Do Young;Park, Gooman
    • Journal of Broadcast Engineering
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    • v.27 no.2
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    • pp.185-197
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    • 2022
  • Recently, deep learning networks with high performance for object recognition are emerging. In the case of object recognition using deep learning, it is important to build a training data set to improve performance. To build a data set, we need to collect and label the images. This process requires a lot of time and manpower. For this reason, open data sets are used. However, there are objects that do not have large open data sets. One of them is data required for license plate detection and recognition. Therefore, in this paper, we propose an artificial license plate generator system that can create large data sets by minimizing images. In addition, the detection rate according to the artificial license plate arrangement structure was analyzed. As a result of the analysis, the best layout structure was FVC_III and B, and the most suitable network was D2Det. Although the artificial data set performance was 2-3% lower than that of the actual data set, the time to build the artificial data was about 11 times faster than the time to build the actual data set, proving that it is a time-efficient data set building system.

Development of Discharge Formula for Broad Crested Side Weir (광정횡월류위어의 월류량 산정식 개발)

  • Park, Moon-Hyung;Rhee, Dong-Sop
    • Journal of Korea Water Resources Association
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    • v.43 no.6
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    • pp.525-531
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    • 2010
  • In this study, the effects of upstream Froude number ($Fr_1$), weir height (h), weir length (L), weir width (W) and main channel width (B) on the discharge coefficient of broad crested side-weirs in a relatively wide rectangular open channel were investigated experimentally. Furthermore the relationship between discharge coefficients of sharp crested side weir and broad crested side weir was studied using the concept of De Marchi discharge coefficient. The effect of $Fr_1$ on the relationship between discharge coefficients of sharp crested side weir and broad crested side weir is decreased in wide open channel and the relative importance of other influential parameters like h/$y_1$, L/B, and W/($y_1-h$) are increased. New estimated equations for the discharge coefficients of broad crested side weir are suggested from regression analysis with the experiment data sets.

Design of Easily Testable CMOS Sequential PLAs (테스트가 용이한 CMOS 순서 PLA의 설계)

  • Lee, J.C.;Lim, J.Y.;Han, S.B.;Hong, I.S.;Lim, I.C.
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1507-1511
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    • 1987
  • This paper proposes a NAND-NAND logic sequential Programmable Logic Array (PLA) using CMOS technology, and test generation methods about stuck-open faults. By using LSSD (Level Sensitive Scan Design) method instead of Flip-Flops in Sequential PLA, the complex test problems of sequential logic are simplified. After generating the test sets using connection graph, regular test sequences and all transistor faults detection method in PLA are proposed. Finally, by programming these algorithms in PASCAL at VAX 8700 and adopting these to pratical CMOS Sequential PLA circuits, we proved the effectiveness of this design.

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Common Fixed Point Theorems of Commuting Mappinggs

  • Park, Wee-Tae
    • The Mathematical Education
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    • v.26 no.1
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    • pp.41-45
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    • 1987
  • In this paper, we give several fixed point theorems in a complete metric space for two multi-valued mappings commuting with two single-valued mappings. In fact, our main theorems show the existence of solutions of functional equations f($\chi$)=g($\chi$)$\in$S$\chi$∩T$\chi$ and $\chi$=f($\chi$)=g($\chi$)$\in$S$\chi$∩T$\chi$ under certain conditions. We also answer an open question proposed by Rhoades-Singh-Kulsherestha. Throughout this paper, let (X, d) be a complete metric space. We shall follow the following notations : CL(X) = {A; A is a nonempty closed subset of X}, CB(X)={A; A is a nonempty closed and founded subset of X}, C(X)={A; A is a nonempty compact subset of X}, For each A, B$\in$CL(X) and $\varepsilon$>0, N($\varepsilon$, A) = {$\chi$$\in$X; d($\chi$, ${\alpha}$) < $\varepsilon$ for some ${\alpha}$$\in$A}, E$\sub$A, B/={$\varepsilon$ > 0; A⊂N($\varepsilon$ B) and B⊂N($\varepsilon$, A)}, and (equation omitted). Then H is called the generalized Hausdorff distance function fot CL(X) induced by a metric d and H defined CB(X) is said to be the Hausdorff metric induced by d. D($\chi$, A) will denote the ordinary distance between $\chi$$\in$X and a nonempty subset A of X. Let R$\^$+/ and II$\^$+/ denote the sets of nonnegative real numbers and positive integers, respectively, and G the family of functions ${\Phi}$ from (R$\^$+/)$\^$s/ into R$\^$+/ satisfying the following conditions: (1) ${\Phi}$ is nondecreasing and upper semicontinuous in each coordinate variable, and (2) for each t>0, $\psi$(t)=max{$\psi$(t, 0, 0, t, t), ${\Phi}$(t, t, t, 2t, 0), ${\Phi}$(0, t, 0, 0, t)} $\psi$: R$\^$+/ \longrightarrow R$\^$+/ is a nondecreasing upper semicontinuous function from the right. Before sating and proving our main theorems, we give the following lemmas:

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A Study on Classifying Sea Ice of the Summer Arctic Ocean Using Sentinel-1 A/B SAR Data and Deep Learning Models (Sentinel-1 A/B 위성 SAR 자료와 딥러닝 모델을 이용한 여름철 북극해 해빙 분류 연구)

  • Jeon, Hyungyun;Kim, Junwoo;Vadivel, Suresh Krishnan Palanisamy;Kim, Duk-jin
    • Korean Journal of Remote Sensing
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    • v.35 no.6_1
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    • pp.999-1009
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    • 2019
  • The importance of high-resolution sea ice maps of the Arctic Ocean is increasing due to the possibility of pioneering North Pole Routes and the necessity of precise climate prediction models. In this study,sea ice classification algorithms for two deep learning models were examined using Sentinel-1 A/B SAR data to generate high-resolution sea ice classification maps. Based on current ice charts, three classes (Open Water, First Year Ice, Multi Year Ice) of training data sets were generated by Arctic sea ice and remote sensing experts. Ten sea ice classification algorithms were generated by combing two deep learning models (i.e. Simple CNN and Resnet50) and five cases of input bands including incident angles and thermal noise corrected HV bands. For the ten algorithms, analyses were performed by comparing classification results with ground truth points. A confusion matrix and Cohen's kappa coefficient were produced for the case that showed best result. Furthermore, the classification result with the Maximum Likelihood Classifier that has been traditionally employed to classify sea ice. In conclusion, the Convolutional Neural Network case, which has two convolution layers and two max pooling layers, with HV and incident angle input bands shows classification accuracy of 96.66%, and Cohen's kappa coefficient of 0.9499. All deep learning cases shows better classification accuracy than the classification result of the Maximum Likelihood Classifier.

Development of Genetic Selection Marker via Examination of Genome in Bacillus velezensis K10 (Bacillus velezensis K10 유전체 분석을 통한 균주 선발 마커 개발)

  • Sam Woong Kim;Young Jin Kim;Tae Wook Lee;Won-Jae Chi;Woo Young Bang;Tae Wan Kim;Kyu Ho Bang;Sang Wan Gal
    • Journal of Life Science
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    • v.33 no.11
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    • pp.897-904
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    • 2023
  • This study was done to develope genetic markers with the unique characteristics of genes according to the genomic information of Bacillus velezensis K10. B. velezensis K10 maintained a total of 4,159,835 bps, which was found to encode 5,136 open reading frames (orfs). B. velezensis K10 was found to have much more gene migration due to external factors overall compared to standard strain B. velezensis JS25R. In order to discover genetic selection markers, orfs on the genome to be easily induced to gene mutation were surveyed such as recombinase, integrase, transposase, and phage-related genes. As a result of the investigation, 9 candidate markers were isolated with high possibility as genetic selection markers. Although a part in the various origin's areas showed specificities in comparison with homology, the selected markers were all existed in phage-related areas because they were relatively lower homologies in phage-related genes. PCR analysis was done on B. licheniformis K12, B. velezensis K10, B. subtilis, and B. cereus to establish them as inter-species candidate selection markers. As a result, it was confirmed that B. velezensis K10-specific PCR products were formed in a total of 6 primer sets such as BV3 and BV5 to 9. On the other hand, analysis at the subspecies level observed the formation of B. velezensis K10-specific PCR products in 4 primer sets such as BV3, 5, 8, and 9. Among them, since BV5 and BV8 were detected by very specific results, we suggest that BV5 and 8 can be used as B. velezensis K10 gene selection markers at the species and sub-species level.

Finding factors for resilience using a strength-based approach: Refugees and asylum seekers coping with life adversities

  • Yoon, Myeongsook;Fisseha, Israel
    • International Journal of Advanced Culture Technology
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    • v.7 no.4
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    • pp.145-155
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    • 2019
  • The strength or resilience of refugees is a less emphasized area as the discourse in refugee mental health study mainly weighs on pathologizing the effects of refugee experiences. Within the lenses of strength and resilience, this study explored how refugees and asylum seekers, who experienced violence and loss, coped with trauma and hardship in their newly established lives in South Korea. In this study we analyzed survey data collected from 100 participants (55 asylum seekers and 45 refugees) through open-ended questions. We analyzed narratives for both content and form and provided evidence for factors that reflect coping strategies used by participants to overcome their life adversities. The findings gave rise to; (a) character traits like strong religiosity, personal determination, patience to forbear, hopefulness, and peaceful acceptance of current circumstance; (b) relationships, in the sense of meaningful strong bonds within family members and the instinctive personal resourcefulness to utilize support resources within and outside of their communities; (c) learned skills after migraing to korea; (d) knowledge sets in how to get by in korea; (e) personal talents, and (f) extra abilities that gave power to pass socio-economic difficulties. The findings underscore the importance of considering the strength-based approach either in discussing resilience or intervention. Our approach will allow practitioners to acknowledge that refugees and asylum seekers potentially have a unique set of strengths and abilities that they rely on to overcome their immediate and future problems. It will also guide practitioners as they devise their intervention schemes.

Development and Validation of an Instrument to Measure the Job Satisfaction of Perioperative Nurses (수술실 간호사의 직무 만족도 측정 도구 개발 연구)

  • Yoon, Ke Sook;Park, Sung Ae
    • Journal of Korean Clinical Nursing Research
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    • v.15 no.1
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    • pp.93-106
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    • 2009
  • Purpose: The purpose of this study was to develop a valid and reliable instrument to explore and measure job satisfaction as perceived by perioperative nurses, specifically from the perspective of contemporary perioperative nursing in Korea. Method: Items (69) were developed from the responses to two open-ended questions by 168 perioperative nurses in one teaching hospital; (a) reasons that make work enjoyable, (b) reasons that make work unpleasant. Finally 55 items were selected, excluding items with lower correlation with the total scale. The instrument was completed by 885 perioperative nurses from 89 different hospitals nationwide who were attending the annual conference of the Korean Association Operating Room Nurses (KAORN), yielding a response rate of 95.6%. Results: Ten factors were extracted by factor analysis, which explained 60.0% of the total variance; Reliability and internal consistency were established (Cronbach's alpha=.95). A smaller sample of 39 perioperative nurses completed the instrument on two occasions, with a 2-week interval between. Mean scores were computed and two sets of scores were analyzed by Weighted Kappa (W-Kappa=0.680, p=.029). Conclusion: This instrument is a concise, highly practical and flexible tool, which can be used for the perioperative nurse in a wide range of hospital settings.