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VC-DIMENSION AND DISTANCE CHAINS IN 𝔽dq

  • ;Ruben Ascoli;Livia Betti;Justin Cheigh;Alex Iosevich;Ryan Jeong;Xuyan Liu;Brian McDonald;Wyatt Milgrim;Steven J. Miller;Francisco Romero Acosta;Santiago Velazquez Iannuzzelli
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.43-57
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    • 2024
  • Given a domain X and a collection H of functions h : X → {0, 1}, the Vapnik-Chervonenkis (VC) dimension of H measures its complexity in an appropriate sense. In particular, the fundamental theorem of statistical learning says that a hypothesis class with finite VC-dimension is PAC learnable. Recent work by Fitzpatrick, Wyman, the fourth and seventh named authors studied the VC-dimension of a natural family of functions ℋ'2t(E) : 𝔽2q → {0, 1}, corresponding to indicator functions of circles centered at points in a subset E ⊆ 𝔽2q. They showed that when |E| is large enough, the VC-dimension of ℋ'2t(E) is the same as in the case that E = 𝔽2q. We study a related hypothesis class, ℋdt(E), corresponding to intersections of spheres in 𝔽dq, and ask how large E ⊆ 𝔽dq needs to be to ensure the maximum possible VC-dimension. We resolve this problem in all dimensions, proving that whenever |E| ≥ Cdqd-1/(d-1) for d ≥ 3, the VC-dimension of ℋdt(E) is as large as possible. We get a slightly stronger result if d = 3: this result holds as long as |E| ≥ C3q7/3. Furthermore, when d = 2 the result holds when |E| ≥ C2q7/4.

Real-time 14N NQR-based sodium nitrite analysis in a noisy field

  • Mohammad Saleh Sharifi;Ho Seung Song;Hossein Afarideh;Mitra Ghergherehchi;Mehdi Simiari
    • Nuclear Engineering and Technology
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    • v.55 no.12
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    • pp.4570-4575
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    • 2023
  • Noise and Radio-frequency interference or RFI causes a significant restriction on the Free induction Decay or FID signal detection of the Nuclear Quadrupole Resonance procedure. Therefore, using this method in non-isolated environments such as industry and ports requires extraordinary measures. For this purpose, noise reduction algorithms and increasing signal-to-noise-and-interference ratio or SNIR have been used. In this research, sodium nitrite has been used as a sample and algorithms have been tested in a non-isolated environment. The resonant frequencies for the 150 g of test sample were measured at 303 K at about 1 MHz and 3.4 MHz. The main novelty in this study was, (1) using two types of antennas in the receiver to improve adaptive noise and interference cancellation, (2) using a separate helical antenna in the transmitter to eliminate the duplexer, (3) estimating the noise before sending the pulse to calculate the weighting factors and reduce the noise by adaptive noise cancellation, (3) reject the interference by blanking algorithm, (4) pulse integration in the frequency domain to increase the SNR, and (5) increasing the detection speed by new pulse integration technique. By interference rejection and noise cancellation, the SNIR is improved to 9.24 dB at 1 MHz and to 7.28 dB at 3.4 MHz, and by pulse integration 44.8 dB FID signal amplification is achieved, and the FID signals are detected at 1.057 MHz and 3.402 MHz at room temperature.

Magnetic Circular Dichroism Study of co Thin Films on Pd(111) Surface

  • Kim, Wookje;Kim, Wondong;Kim, Hyunjo;Kim, Jae-Young;Hoon Kho;Park, J.H.;Oh, S.J.
    • Proceedings of the Korean Vacuum Society Conference
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    • 1999.07a
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    • pp.169-169
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    • 1999
  • We studied magnetic properties of co thin films deposited on Pd (111) surface, which attracted much attention recently due to the perpendicular magnetic anisotropy, using magnetic circular dichroism(MCD). Special attention was paid on the effect of Pd capping and interface roughness on the direction of magnetic easy axis, and for that purpose MCD signals for all Co thicknesses were measured with two different ways : in-plane and out-of-plane geometry. In case of bare Co films deposited on smooth Pd(111) surface, no MCD signal was observed under 4$\AA$ co thickness. At 4$\AA$ Co thickness, MCD signal at the out-of-plane geometry was observed, and for thicker Co films, only in-plane MCD signal was measured. This type of magnetic easy axis transition has been reported for other cases like Co/Pt system. The effect of 5$\AA$ Pd capping on these bare Co films made an remarkable change on the transition of magnetic easy axis. Out-of-plane MCD signals exists up to 20$\AA$ Co thickness, and disappears at 24$\AA$ Co thickness. In-plane MCD signals first appears at 10$\AA$ Co thickness and gradually increases up to 24$\AA$ Co thickness. Between 10$\AA$ and 20$\AA$ Co thickness, in-plane and out-of-plane MCD signal coexist. The formation of multi-domain structure or the existence of tilted magnetic easy axis is an possible scenario for such an interesting coexistence. The effect of interface roughness was also tested by measuring MCD signal on Co films deposited on un-annealed Pd(111) surface. Out-of-plane MCD signal was observed up to 8$\AA$ Co thickness and the anisotropy of MCD signal at 4$\AA$ Co thickness was very large with respect to that of Co film deposited on the smooth substrate. Above 8$\AA$ thickness, there exists only in-plane MCD signal. From above results, it was concluded that both Pd capping and interface roughness induce and reenforce the perpendicular magnetic anisotropy. The large perpendicular magnetic anisotropy of Co/Pd multilayer system made by sputtering method can be well understood from our results.

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Development of Informatics Curriculum(Plan) for General Education Level in Prospective Elementary Teachers (초등 예비교원을 위한 교양수준의 정보교육과정(안) 개발)

  • An, YoungHee;Kim, JaMee;Woo, HoSung;Yang, HyeJi;Kim, MinJeong;Jung, DaYun;Lee, WonGyu
    • The Journal of Korean Association of Computer Education
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    • v.22 no.1
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    • pp.21-30
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    • 2019
  • In this research, there is a purpose to develop an informatics education curriculum of the general level that the preliminary teacher at elementary school prepares for information education. First of all, in order to achieve the purpose, we compare and analyze the standard CS 2013 of the educational curriculum of elementary school teacher training university, University-Level Program cooperation deepening course, higher education course, and prepared content and level. Secondly, subjects were structured in consideration of standard J07-GE analysis of higher education curriculum and cooperation with secondary education course. Third, subject names were determined by examination by experts, taking into consideration the scope of subjects, content system composition, etc. Computer Science II, Computer Science II, Data Management in the domain to understand the basic principles of Computer Science I, Computing System, in order to approach expert opinions, analysis results, problems arising in information society from the viewpoint of computer science We proposed data management and analysis to grasp the patterns and relationships involved. In this research, not only improving ability to solve problems based on the basic capacity strengthening of teachers but also presenting subjects of general level, considering continuity star of high school information subjects it makes sense.

A Study on the Measurement of the Relative Nuclear Reaction Cross-Section of the natW(p,xn)176Re Reaction using 100 MeV Proton (100 MeV 양성자를 이용한 natW(p,xn)176Re 핵반응의 상대 핵반응단면적 측정에 대한 연구)

  • Lee, Samyol
    • Journal of the Korean Society of Radiology
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    • v.15 no.2
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    • pp.257-263
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    • 2021
  • This study derives the relative cross-section for the natW(p,xn)176Re nuclear reaction by measuring the gamma rays generated from the nuclear reaction with natural tungsten using a 100 MeV linear accelerator of the Korea Multi-purpose Accelerator Complex in the Korea Atomic Energy Research Institute. In general, research on isotopes with a short half-life always shows a tendency that the intensity of radioactivity decreases rapidly within a short period of time, making it very difficult to measure itself. In particular, 176Re is one of the relatively short radionuclides with a half-life of 5.3 minutes. In this study, 109.08 keV gamma rays generated from the 176Re isotope having such a short half-life were measured using a high-purity Ge detector(HPGe detector). The obtained relative measurements were the results in the 8 to 14 MeV proton energy domain published by Richard G. in 1967, and the TENDL-2019 value, which was the result of A. J. Koning in 2019, which evaluated the nuclear reaction cross-section by calculation based on this comparative analysis was performed. The results of this study are expected to be usefully applied to the design of nuclear fusion reactor which is known as future energy sources, elements ratio for the nuclear synthesis of astrophysics.

Discrepancy between Parent and Child Report on Quality of Life and Behavioral Problems in Child and Adolescent cancer survivors and Healthy Control Group (소아암 생존자 집단과 건강통제 집단의 삶의 질과 문제행동 비교 및 부모보고와 자기보고의 차이 연구)

  • Kim, M.H.;Chung, C.M.;Rhee, M.A.;Ryu, C.J.;Won, S.C.;Shin, Y. J.
    • Korean Journal of Health Psychology
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    • v.16 no.3
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    • pp.483-500
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    • 2011
  • Since the introductionof modern therapies, more children with cancer have survived their illness. As a result, an interest in the degree of adjustment achieved by cancer survivors has increased. In this study, quality of life and behavior problemsof child and adolescent cancer survivors were compared with those of healthy controls. Also, the patternsof the discrepancy between parent-report and self-report were compared. Childhood cancer survivors aged 8-18 and their mothers were participated in the study. Parent and self report versions of PedQL were administered to assess the quality of life. K-CBCL and K-YSR were further completed to assess internalizing and externalizing behavior problem. Results suggested that cancer survivors generally showed lower quality of life in physical and social domains and more internalizing behavior problem than healthy control group. However, the results were affected by the domain, age group, and informant. The pattern of discrepancy between parent and self report was similar. All parents reported higher levelsof quality of life and lower levels of behavior problems compared to the self reports of their siblings. In assessing internalizing problem behaviors, cancer survivor group showed greater discrepancy than the healthy control group.The implications, limitations, and directions for future research were also discussed.

[ $Ca^{2+}\;and\;K^+$ ] Concentrations Change during Early Embryonic Development in Mouse (생쥐 초기 배 발달 동안 변화되는 칼슘과 포타슘 이온)

  • Kang D.W.;Hur C.G.;Choi C.R.;Park J.Y.;Hong S.G.;Han J.H.
    • Journal of Embryo Transfer
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    • v.21 no.1
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    • pp.35-43
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    • 2006
  • Ions play important roles in various cellular processes including fertilization and differentiation. However, it is little known whether how ions are regulated during early embryonic development in mammalian animals. In this study, we examined changes in $Ca^{2+}\;and\;K^+$ concentrations in embryos and oviduct during mouse early embryonic development using patch clamp technique and confocal laser scanning microscopy. The intracellular calcium concentration in each stage embryos did not markedly change. At 56h afier hCG injection when 8-cell embryos could be Isolated from oviduct, $K^+$ concentration in oviduct increased by 26% compared with that at 14h after injection of hCG During early embryonic development, membrane potential was depolarized (from -38 mV to -16 mV), and $Ca^{2+}$ currents decreased, indicating that some $K^+$ channel might control membrane potential in oocytes. To record the changes in membrane potential induced by influx of $Ca^{2+}$ in mouse oocytes, we applied 5 mM $Ca^{2+}$ to the bath solution. The membrane potential transiently hyperpolarized and then recovered. In order to classify $K^+$ channels that cause hyperpolarization, we first applied TEA and apamin, general $K^+$ channel blockers, to the bath solution. Interestingly, the hyperpolarization of membrane potential still appeared in oocytes pretreated with TEA and apamin. This result suggest that the $K^+$ channel that induces hyperpolarization could belong to another $K^+$ channel such as two-pore domain $K^+(K_{2P})$channel that a.e insensitive to TEA and apamin. From these results, we suggest that the changes in $Ca^{2+}\;and\;K^+$ concentrations play a critical role in cell proliferation, differentiation and reproduction as well as early embryonic development, and $K_{2P}$ channels could be involved in regulation of membrane potential in ovulated oocytes.

A Study about the Direction and Responsibility of the National Intelligence Agency to the Cyber Security Issues (사이버 안보에 대한 국가정보기구의 책무와 방향성에 대한 고찰)

  • Han, Hee-Won
    • Korean Security Journal
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    • no.39
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    • pp.319-353
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    • 2014
  • Cyber-based technologies are now ubiquitous around the glob and are emerging as an "instrument of power" in societies, and are becoming more available to a country's opponents, who may use it to attack, degrade, and disrupt communications and the flow of information. The globe-spanning range of cyberspace and no national borders will challenge legal systems and complicate a nation's ability to deter threats and respond to contingencies. Through cyberspace, competitive powers will target industry, academia, government, as well as the military in the air, land, maritime, and space domains of our nations. Enemies in cyberspace will include both states and non-states and will range from the unsophisticated amateur to highly trained professional hackers. In much the same way that airpower transformed the battlefield of World War II, cyberspace has fractured the physical barriers that shield a nation from attacks on its commerce and communication. Cyberthreats to the infrastructure and other assets are a growing concern to policymakers. In 2013 Cyberwarfare was, for the first time, considered a larger threat than Al Qaeda or terrorism, by many U.S. intelligence officials. The new United States military strategy makes explicit that a cyberattack is casus belli just as a traditional act of war. The Economist describes cyberspace as "the fifth domain of warfare and writes that China, Russia, Israel and North Korea. Iran are boasting of having the world's second-largest cyber-army. Entities posing a significant threat to the cybersecurity of critical infrastructure assets include cyberterrorists, cyberspies, cyberthieves, cyberwarriors, and cyberhacktivists. These malefactors may access cyber-based technologies in order to deny service, steal or manipulate data, or use a device to launch an attack against itself or another piece of equipment. However because the Internet offers near-total anonymity, it is difficult to discern the identity, the motives, and the location of an intruder. The scope and enormity of the threats are not just focused to private industry but also to the country's heavily networked critical infrastructure. There are many ongoing efforts in government and industry that focus on making computers, the Internet, and related technologies more secure. As the national intelligence institution's effort, cyber counter-intelligence is measures to identify, penetrate, or neutralize foreign operations that use cyber means as the primary tradecraft methodology, as well as foreign intelligence service collection efforts that use traditional methods to gauge cyber capabilities and intentions. However one of the hardest issues in cyber counterintelligence is the problem of "Attribution". Unlike conventional warfare, figuring out who is behind an attack can be very difficult, even though the Defense Secretary Leon Panetta has claimed that the United States has the capability to trace attacks back to their sources and hold the attackers "accountable". Considering all these cyber security problems, this paper examines closely cyber security issues through the lessons from that of U.S experience. For that purpose I review the arising cyber security issues considering changing global security environments in the 21st century and their implications to the reshaping the government system. For that purpose this study mainly deals with and emphasis the cyber security issues as one of the growing national security threats. This article also reviews what our intelligence and security Agencies should do among the transforming cyber space. At any rate, despite of all hot debates about the various legality and human rights issues derived from the cyber space and intelligence service activity, the national security should be secured. Therefore, this paper suggests that one of the most important and immediate step is to understanding the legal ideology of national security and national intelligence.

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A New Sterol Regulatory Element Binding Protein, SrbB Is Critical for Hypoxia Adaptation and Virulence in the Human Fungal Pathogen Aspergillus fumigatus

  • Chung, Dawoon;Barker, Bridget M.;Carey, Charles C.;Merriman, Brittney;Werner, Ernst R.;Lechner, Beatrix E.;Dhingra, Sourabh;Cheng, Chao;Xu, Wenjie;Blosser, Sara J.;Morohashi, Kengo;Mazurie, Aurelien;Mitchell, Thomas K.;Haas, Hubertus;Mitchell, Aaron P.;Cramer, Robert A.
    • 한국균학회소식:학술대회논문집
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    • 2015.05a
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    • pp.15-15
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    • 2015
  • Aspergillus fumigatus is a major cause of invasive aspergillosis (IA), a significant health issue worldwide with high mortality rates up to 95%. Our lab is interested in how A. fumigatus adapts to low oxygen conditions 'hypoxia', which is one of the important host microenvironments. A. fumigatus SrbA is a basic helix-loop-helix (bHLH) transcriptional regulator and belongs to sterol regulatory element binding protein (SREBP) family members. Loss of SrbA completely blocks growth in hypoxia and results in avirulence in murine models of IA suggesting an essential role of SrbA in hypoxia adaptation and virulence in A. fumigatus. We conducted chromatin immunoprecipitation sequencing (ChIP-seq) with A. fumigatus wild type using a SrbA specific antibody, and 97 genes were revealed as SrbA direct targets. One of the 'SrbA regulons' (AFUB_099590) was a putative bHLH transcriptional regulator whose sequence contained a characteristic tyrosine substitution in the basic portion of the bHLH domain of SREBPs. Therefore, we designated AFUB_099590 SrbB. Further characterization of SrbB demonstrated that SrbB is important for radial growth, biomass production, and biosynthesis of heme intermediates in hypoxia and virulence in A. fumigatus. A series of quantitative real time PCR showed that transcription of several SrbA regulons is coordinately regulated by two SREBPs, SrbA and SrbB in hypoxia. This suggests that SrbA and SrbB have both dependent and independent functions in regulation of genes responsible for hypoxia adaptation in A. fumigatus. Together, our data provide new insights into complicated roles of SREBPs in adaptation of host environments and virulence in pathogenic fungi.

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The Effects of Dietary Patterns and Apolipoprotein E Phenotype on the Blood Lipid Profiles of Individuals from Cheju Area (제주지역 성인의 Apolipoprotein E Phenotype 분포와 식생활 및 혈청지질 농도의 관련인자 연구)

  • 고양숙;박선민;김숙희
    • Journal of Nutrition and Health
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    • v.31 no.9
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    • pp.1481-1497
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    • 1998
  • The purpose of this study was to determine the relation between serum lipid profiles, apolipoprotein E phenotype, and dietary patterns in a cross-section of healthy individuals from Cheju-Do. Age, gender, anthropometric measurements, blood pressure, dietary consumption, drinking / smoking habits and menopausal status were surveyed. Total cholesterol, LDL-cholesterol, HDL-cholesterol, triglyceride, fasting blood glucose, and insulin levels were measured from overnight fasting blood. The study involved a total of 286 individuals(147 men and 139 women) between the ages of 20 and 60 years old. All of the subjects were recruited from a population of healthy individuals living in Cheju-Do. The results of the study are as follows : 1) Among the males, those in their 20's had the maximum food intake, while those in their 40's had the minimum food intake. For the females, food intake was the highest for those in their 30's. Energy and nutrient intakes were directly proportional to the amount of food intake. Men in their 30's were heavier than other men and women in their 40's were heavier than other women. The activity index for men in their 20's and 30's appeared to be lower than that of men above 40. The activity index of women in their 20's appeared to be lowest among all aged groups, and the index appeared to increase from the age of 30 onwards. 2) In terms of changes In serum constituents with age, men in their 40's appeared to have the highest levels of serum constituents such as lipids, glucose, and insulin. Men in their 50's showed the highest levels of serum LDL-cholesterol and glucose. Men in their 30's showed peak levels of serum triglycerides. On the other hand, women in their 50's appeared to have peak levels of serum total cholesterol, LDL-cholesterol, and triglycerides. There was no ch:ange with age in HDL-cholesterol and insulin levels for men and women. The percentage of the subjects had the following apo E phenotypes : E3/3, 91.3% ; E3/2, 5.4% ; E4/3, 2.5% ; E4/2, 0.7%. Lee's reserch with Korean female college students showed that the percentage of ApoE3/3, E3/2, E 4/2, E4/3, and E4/4 were 84.8%, 6.7%, 6.7%, 0.9%, 0.9%, respectively. The number of samples with ApoE mutation was so small that there was no statistical significance in the relation between apolipoprotein E phenotype and se겨m lipids. 3) To investigate the relati onship between weight and serum constituents, the subjects of this study were divided into three groups by BMI underweight, normal weight, and overweight. The serum constituents of men and women below the age 40 in the overweight groups belonged to the normal domain. On the other hand, serum cholesterol levels of both men and women above the age 40 in the overweight groups remained in the borderline-high region(above 200mg/dl), and the mean value of LDL-cholesterol(above 130mg/dl) and triglycerides of men were above normal. Fasting blood glucose levels also remained in the borderline-high region. Total cholesterol levels of women above the age 40 in the overweight group was in the borderline-high region. (Korean J Nutrition 31(9) : 1481-1497, 1998)

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