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SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM WITH 𝜉-PARALLEL STRUCTURE JACOBI OPERATOR

  • U-Hang KI;Hyunjung SONG
    • East Asian mathematical journal
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    • v.40 no.1
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    • pp.1-23
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    • 2024
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c). We denote by A, K and L the second fundamental forms with respect to the unit normal vector C, D and E respectively, where C is the distinguished normal vector, and by R𝜉 = R(𝜉, ·)𝜉 the structure Jacobi operator. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y , and at the same time R𝜉K = KR𝜉 and ∇𝜙𝜉𝜉R𝜉 = 0. In this paper, we prove that if it satisfies ∇𝜉R𝜉 = 0 on M, then M is a real hypersurface of type (A) in Mn(c) provided that the scalar curvature $\bar{r}$ of M holds $\bar{r}-2(n-1)c{\leq}0$.

The Effect of Remelting Cycles and Its Carbon Content on the Glass Forming Ability and Mechanical Properties of the Zr-based Amorphous Alloy Return Scrap (Zr 기지 비정질 합금 스크랩의 비정질 형성능 및 기계적 성질에 미치는 재용해 횟수와 탄소 함량의 영향)

  • Lee, Byung-Chul;Kim, Sung-Gyoo;Park, Bong-Gyu;Park, Heung-Il;Park, Hwa-Soon
    • Journal of Korea Foundry Society
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    • v.34 no.3
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    • pp.94-99
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    • 2014
  • A commercially used Zr-based amorphous alloy was recycled and the effects of introducing carbon during recycling on the glass forming ability and mechanical properties of the alloy were investigated. The initial carbon content used in this study was 229ppm. The carbon content was gradually increased as the number of recycling iterations was increased and after the $4^{th}$ recycling it rapidly increased. As return scrap was recycled, polygonal particles precipitated, and they were identified as ZrC. The amount of the precipitates also increased with recycling. Tg, Tx and ${\Delta}T$ of the base alloy were 615 K, 696 K and 81 Kr respectively and they changed to 634 K, 706 K and 72 K after the $10^{th}$ recycling. The decrease of the ${\Delta}T$ value indicates deterioration of the glass forming ability. Hardness was not changed during three iterations of recycling but after the $4^{th}$ recycling it significantly increased. This is ascribed to an increase of amount of the hard particles, namely ZrC.

Determinants of Smoking-Cessation Behaviors in Female University Students (여대생의 금연행위에 영향을 미치는 요인에 관한 연구)

  • 김혜원
    • Journal of Korean Academy of Nursing
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    • v.29 no.1
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    • pp.48-60
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    • 1999
  • This study was done to determine the factors influencing smoking-cessation behavior in female university students. A total of 534 students participated in this cross sectional study by answering a questionnaire. The data collection was done between September 1 and October 31, 1997 The measurement tools used in this study were the self help change process scale (Cronbach's alpha=.9930 : developed by Oh & Kim, 1996) for smoking-cessation behaviors, the self efficacy scale(Cronbach's alpha=.8250 : developed by Sherer et al, 1982), the sex role acceptance scale (KR-20=.7757 : developed by Kim, 1991) and the social support scale(Cronbach's alpha=.9172 : developed by Park, 1985). The summarized results are follows : 1. The mean scores for smoking-cessation behaviors in smokers (N=150) was 91.72 that was considered a middle score compared to the total possible score of measurement tool (150.0). The mean score for smoking-cessation behaviors by smoking-cessation step showed significant different between the groups(F=11.71, p=.000). 2. The group with no experience in smoking(N=332) showed a high general self efficacy score (t=5.24, p=.000), and more openness to sex role acceptance(t=-2.15, p=.032) compared to the group with smoking experience (N=202). 3. General self efficacy, sex role acceptance, and social support were not different significantly between the groups according to the steps in smoking-cessation. 4. Significant factors influencing smoking-cessation behavior (total, sub concepts) were religion, sex role acceptance, social support, smoking duration, smoking attitude, time of smoking onset, amount of smoking, drinking, and perception of health status. 5. Smoking-cessation behaviors which explained 11% of the variance were smoking attitude, and smoking duration. In conclusion, this study identified factors influencing smoking-cessation behavior. Thereby it will help in the development of smoking-cessation intervention strategies. For future research, exploration other determinants of smoking cessation behaviors, evaluation of intervention efficiency, and comparative study by gender characteristics are needed.

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A Study on Developing and Validating the Modern Physics Conceptual Diagnostic Survey for Pre-Service Physics Teachers based on the 2015 Revised National Science Curriculum (2015 개정 과학과 교육과정에 기초한 예비 물리교사를 위한 현대물리 개념 진단지 개발 및 타당화 연구)

  • Kim, Wanseon;Kim, Sung-Won
    • Journal of The Korean Association For Science Education
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    • v.40 no.3
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    • pp.253-269
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    • 2020
  • This study aims to develop items to diagnose pre-service physics teachers' understanding of the conceptual knowledge of modern physics, based on the achievement criteria presented in the 2015 revised national science curriculum, and to identify the validity and reliability of the newly developed items. Data were collected from 467 pre-service physics teachers in the Physical Education Department or Science Education Department (Physics Education Major) of 15 universities across the nation. In this study the content validity, substantive validity, the internal structure validity, generalization validity, and the external validity proposed by Messick (1995) were examined by various statistical tests. The results of the MNSQ analysis showed that there was no nonconformity in the 23 items. The internal structure validity was confirmed by the standardized residual variance analysis, which shows that the 22 items was unidimensional. The generalization validity was confirmed by differential item functioning (DIF) analysis about groups lectured or not modern physics/quantum mechanics. In addition, item analysis and test analysis based on classical test theory were performed. The mean item difficulty is 0.66, mean item discrimination is 0.47 and mean point biserial coefficient obtained was 0.41. These results for item parameters satisfied the criteria respectively. The reliability of the internal consistency of the KR-20 is 0.77 and the Ferguson's delta obtained was δ = 0.972. By Rasch model analysis, the item difficulty (item measures) was discussed.

Artificial Intelligence and College Mathematics Education (인공지능(Artificial Intelligence)과 대학수학교육)

  • Lee, Sang-Gu;Lee, Jae Hwa;Ham, Yoonmee
    • Communications of Mathematical Education
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    • v.34 no.1
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    • pp.1-15
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    • 2020
  • Today's healthcare, intelligent robots, smart home systems, and car sharing are already innovating with cutting-edge information and communication technologies such as Artificial Intelligence (AI), the Internet of Things, the Internet of Intelligent Things, and Big data. It is deeply affecting our lives. In the factory, robots have been working for humans more than several decades (FA, OA), AI doctors are also working in hospitals (Dr. Watson), AI speakers (Giga Genie) and AI assistants (Siri, Bixby, Google Assistant) are working to improve Natural Language Process. Now, in order to understand AI, knowledge of mathematics becomes essential, not a choice. Thus, mathematicians have been given a role in explaining such mathematics that make these things possible behind AI. Therefore, the authors wrote a textbook 'Basic Mathematics for Artificial Intelligence' by arranging the mathematics concepts and tools needed to understand AI and machine learning in one or two semesters, and organized lectures for undergraduate and graduate students of various majors to explore careers in artificial intelligence. In this paper, we share our experience of conducting this class with the full contents in http://matrix.skku.ac.kr/math4ai/.

Pharmacokinetics of oxytetracycline in rabbits after intravenous and intramuscular administrations (토끼에서 oxytetracycline의 정맥 및 근육 투여시의 약물동태학)

  • Kim, Eun-jung;Yun, Hyo-in;Park, Seung-chun;Oh, Tae-kwang;Cho, Chun-hyung
    • Korean Journal of Veterinary Research
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    • v.34 no.2
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    • pp.259-266
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    • 1994
  • The study was carried out to determine the pharmacokinetic parameters after intravenous(iv) and intramuscular(im) administration (10mg/kr) in healthy rabbits. The results obtained through the experiments were summarized as follows: 1. Bioassay (Bacillus cereus 11778) was evaluated very useful for the determination of oxytetracycline(OTC) in the rabbit serum and tissues, with the detection limit of $0.125{\mu}g/ml$. 2. The pharmacokinetic profiles of OTC (10mg/kg, iv) in rabbits were best described with a two compartment open model $(C=29.5e^{-4,3t}{\pm}3.6^{-0.2t})$, whereas that of OTC (10mg/kg, im) showed a one compartment curve fitting. 3. Following iv administration, a rapid distribution phase was predominant [$t_{\frac{1}{2}}({\alpha}):1.43{\pm}0.98hr$ (♂), $0.5{\pm}0.1hr$(♀)], and then more slow elimination phase ensued [$t_{\frac{1}{2}}({\beta}):4.52{\pm}0.76hr$(♂), $7.32{\pm}2.52hr$(♀)]. Other computer generated pharmacokinetic values were as follows:C1 [$67.76{\pm}18.59ml/kg/h$(♂), $76.03{\pm}22.98ml/kg/h$ (♀)] Vd [$257.74{\pm}180.47ml/kg$ (♂), $92.33{\pm}23.62$ (♀)] AUC [$25.6{\pm}4.44mgh/L$ (♂), $39.6{\pm}12.13mgh/l$ (♀)]. There were no statistical significance between both sexes for all the parameters at the confidence level of 95%. 4. After im administaration, the absorption from the injection sites was very rapid [ Ka:$0.18{\pm}0.03h^{-1}$ (♂), $0.24{\pm}0.02h^{-1}$ (♀)] followed by a monoexponential elimination fashion. The time to peak blood level (Tmax) were calculated $1.64{\pm}0.15hr$ and $1.34{\pm}0.24hr$, in the male and female, respectively. The peak levels (Cmax) at the corresponding time were $1.69{\pm}0.23{\mu}g/ml$ (♂) and $2.08{\pm}0.16{\mu}g/ml$ (♀), with no statistical differences (p>0.05).

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Error Performance Analysis of Trellis Coded QPSK Signal with Reed-Solomon Coding and MRC Diversity Reception in Micro-Cellular System (마이크로 셀룰러 시스템에서 MRC 다이버시티와 Reed-Solomon 부호를 적용한 Trellis Coded QPSK 신호의 오율 해석)

  • 노재성;김영철;박기식;조성언;조성준
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.9 no.4
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    • pp.427-438
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    • 1998
  • The bit error rate(BER) performance of Trellis Coded QPSK signal in the presence of cochannel interference (CCI) and Rician fading is investigated. The trellis coded QPSK system adopts Maximum Ratio Combining (MRC) diversity reception and Reed-Solomon code to enhance system performance. Using the derived error probability equation, the error performance of trellis coded QPSK system has been evaluated and shown in figures to discuss as a function of signal power to noise power ratio (SNR), signal power to interference power ratio(SIR), direct to indirect signal power ratio ($K_R$), the number of diversity branch (M), the frame length of Reed-Solomon code (n), the number of error correction symbol (t), and the number of state of trellis encoder. From the results, we know that proposed system is affected by cochannel interference and fading in microcell environment. Also, BER performance of Trellis Coded QPSK system can be improved as increasing either the power of desired signal or the value of SIR. And the BER floor in microcellular system is caused by the cochannel interference and it occurs at high BER when SIR is low. And Reed-Solomon code (n=15, t=2) is more effective to restrain the affection of CCI and fading than MRC diversity reception (M=2).

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Pulsed-Field Gel Electrophoresis and Monoclonal Antibody Analysis of Leptospira interrogans Isolated in Korea (국내 분리 렙토스피라균의 단클론 항체 및 Genomic DNA의 Pulsed-Field Gel Electrophoresis 분석)

  • 조민기;기선호;김형준;김윤원;장우현;오희복
    • Korean Journal of Microbiology
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    • v.35 no.3
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    • pp.197-204
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    • 1999
  • A total of 22 Leptospiua inlermgans field isolates from the ~ a t s captured in 5 provinces of Korea in 1996, and 6 antigenically closely related relerence serovars of lai, yeonchon, birkini. gem, mwogolo. and canicola were analysed. When the antigenic characteristics were analysed by reactivity with 7 monoclonal antibodies prepared with sh.ains belongng to serogroup Icterohaemorrhagiae. all 22 isolates showed the same reaction pattern with that of serovar lai. Large restriction fragment patterns obtained after cleavage of geno~nic DNAs with infrequently cuttimg restriction enzymes were analyzed by pulsed-field pel electrophoresis(PFGE). Identification of leptospira strains by PFGE with Nor I, Asc I or Iise I digests correlated with their antigenically typed serovars, silh a few exceptions. PFGE of isolates, except for JR89, digested wjth Nor I showed identical pattern w~th serovar lai, showing 13 Cragments between 940 kb and 63 kb. When PFGE pallerns of JR89 were compared with those of serovar lai, Not I digest showed additional two hands of 1000 kb and 460 kb, while Asc I digest showed 650 kb fragment and Fse I digest did not show the fragment of 280 kb. Whereas serovar yeonchon. which was isolated in Korea and identified as a new serovar previously. could be differentiated from serovar lai in antigenic reactivities with monoclonal antibodres. it showed the similar PFGE pattern with serovar lai includin~ reference and field isolates. It was suggested that Korean leptospiral field isolates are closely related in DNA level.

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Ac/Ds-mediated gene tagging system in rice

  • Eun, Moo-Young;Yun, Doh-Won;Nam, Min-Hee;Yi, Gi-Hwan;Han, Chang-Deok;Kim, Doh-Hoon;Park, Woong-June;Kim, Cheol-Soo;Park, Soon-Ki
    • Proceedings of the Korean Society of Plant Biotechnology Conference
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    • 2005.11a
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    • pp.95-105
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    • 2005
  • Transposon-mediated insertional mutagenesis provides one of the most powerful tools for functional studies of genes in higher plants. This project has been performed to develop a large population of insertional mutations, and to construct databases of molecular information on Ds insertion sites in rice. Ultimate goals are to supply genetic materials and information to analyze gene function and to identify and utilize agronomically important genes for breeding purpose. Two strategies have been employed to generate the large scale of transposon population in a Japonica type rice, Dongjin Byeo; 1) genetic crosses between Ac and Ds lines and 2) plant regeneration from seeds carrying Ac and Ds. Our study showed that over 70% of regenerated plants generally carried independent Ds elements and high activity of transposition was detected only during regeneration period. Ds-flanking DNA amplified from leaf tissues of F2 and T1 (or T2) plants have been amplified via TAIL-PCR and directly sequenced. So far, over 65,000 Ds lines have been generated and over 9,500 Ds loci have been mapped on chromosomes by sequence analysis. Database of molecular information on Ds insertion sites has been constructed, and has been opened to the public and will be updated soon at http://www.niab.go.kr. Detailed functional analysis of more than 30 rice mutants has been performed. Several Ds-tagged rice genes that have been selected for functional analysis will be briefly introduced. We expect that a great deal of information and genetic resources of Ds lines would be obtained during the course of this project, which will be shared with domestic and international rice researchers. In addition to the Japonica rice, we have established the tagging system in an rice line of indica genetic background, MGRI079. MGRI079 (Indica/Japonica) was transformed with Agrobacteria carrying Ac and Ds T-DNA vectors. Among transgenic lines, we successfully identified single-copy Ds and Ac lines in MGR1079. These lines were served as ‘starter lines’ to mutagenize Indica genetic background. To achieve rapid, large scale generation of Ds transposant lines, MGR1079 transformants carrying homozygous Ac were crossed with ones with homozygous Ds, and $F_2$seeds were used for plant regeneration. In this year, over 2,000 regeneration plants were grown in the field. We are able to evaluate the tagging efficiency in the Indica genetic background in the fall.

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Comparison of Biomechanical Characteristics for the Skill Level in Cycle Pedaling

  • Lee, Geun-Hyuk;Kim, Jai-Jeong;Kang, Sung-Sun;Hong, Ah-Reum;So, Jae-Moo
    • Korean Journal of Applied Biomechanics
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    • v.26 no.1
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    • pp.11-20
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    • 2016
  • Objective: This study aimed to compare biomechanical data between elite and beginner cyclists during cycle pedaling by performing a comparative analysis and to provide quantitative data for both pedaling performance enhancement and injury prevention. Methods: The subjects of this study included 5 elite cyclists (age: $18{\pm}0years$, body mass: $64.8{\pm}9.52kg$, height: $173.0{\pm}4.80cm$) and 5 amateur cyclists (age: $20{\pm}0years$, mass: $66.6{\pm}2.36kg$, height: $175.6{\pm}1.95cm$). The subjects pedaled on a stationary bicycle mounted on rollers of the same gear (front: 50 T and rear: 17 T = 2.94) and cadence of 90. The saddle height was adjusted to fit the body of each subject, and all the subjects wore shoes with cleats. In order to obtain kinematic data, 4 cameras (GR-HD1KR, JVC, Japan) were installed and set at 60 frames/sec. An electromyography (EMG) system (Telemyo 2400T, Noraxon, USA) was used to measure muscle activation. Eight sets of data from both the left and right lower extremities were obtained from 4 muscles (vastus medialis oblique [VMO], vastus lateralis oblique [VLO], and semitendinosus [Semitend], and lateral gastrocnemius [Gastro]) bilaterally by using a sampling frequency of 1,500 Hz. Five sets of events ($0^{\circ}$, $90^{\circ}$, $180^{\circ}$, $270^{\circ}$, and $360^{\circ}$) and 4 phases (P1, P2, P3, and P4) were set up for the data analysis. Imaging data were analyzed for kinematic factors by using the Kwon3D XP computer software (Visol, Korea). MyoResearch XP Master Edition (Noraxon) was used for filtering and processing EMG signals. Results: The angular velocity at $360^{\circ}$ from the feet was higher in the amateur cyclists, but accelerations at $90^{\circ}$ and $180^{\circ}$ were higher in the elite cyclists. The amateur cyclists had greater joint angles at $270^{\circ}$ from the ankle and wider knee joint distance at $0^{\circ}$, $180^{\circ}$, and $360^{\circ}$ than the elite cyclists. The EMG measurements showed significant differences between P2 and P4 from both the right VLO and Semitend. Conclusion: This study showed that lower body movements appeared to be different according to the level of cycle pedaling experience. This finding may be used to improve pedaling performance and prevent injuries among cyclists.