• Title/Summary/Keyword: Multiplication Expression

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Point Quadruple Operation on Elliptic Curve Cryptography Algorithm (타원 곡선 암호 알고리즘의 네배점 스칼라 연산)

  • 문상국;허창우;유광열
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2004.05b
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    • pp.784-787
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    • 2004
  • The most time-consuming back-bone operation in an elliptic curve cryptosystem is scalar multiplication. In this paper, we propose a method of inducing a GF operation named point quadruple operation to be used in the quad-and-add algorithm, whith was achieved by refining the traditional double-and-add algorithm. Induced expression of the algorithm was verified and proven by C program in a real model of calculation. The point quadruple operation can be used in fast and efficient implementation of scalar multiplication operation.

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Relation of Plant Age to Bacterial Multiplication in Pepper and Tomato Leaves Inoculated with Xanthomonas campestris pv. vesicatoria (Xanthomonas campestris pv. veicatoria에 감염된 고추와 토마토잎에서의 세규증식과 식물나이와의관계)

  • 이종탁;황병국
    • Korean Journal Plant Pathology
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    • v.10 no.1
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    • pp.18-24
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    • 1994
  • Multiplications and pathogenic reactions of different pepper and tomato strains of Xanthomonas campestris pv. vesicatoria were evaluated in the most upper leaves of pepper and tomato plants at different growth stages. Hypersensitive reactions were induced in mature pepper plants by inoculation with only the tomato strains but not with the pepper strains, suggesting the expression of age-related resistance in pepper plants. The age-related resistance also seems to be correlated with an apparent inability of the bacteria to multiply as extensively in mature as in young plants. No significant differences among the Korean and U. S. pepper cultivars tested were found in bacterial multiplication, irrespective of bacterial stain or plant growth stage. Korean tomato cultivars tested also were highly susceptible to either tomato or pepper strains during the development of tomato plants.

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Characterization of Insect Cells Transformed with Autographa californica Nuclear Polyhedrosis Virus IE1 Gene (Autographa californica 핵다각체병 바이러스의 IE1 유전자에 의해 형질전환된 곤충세포주의 특성)

  • Cho, Eun-Sook;Park, Hae-Jin;Lee, Kwang-Sik;Kang, Seok-Woo;Yun, Eun-Young;Kim, Keun-Young;Sohn, Hung-Dae;Jin, Byung-Rae
    • The Journal of Korean Society of Virology
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    • v.29 no.2
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    • pp.137-144
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    • 1999
  • Transformation efficiency, virus multiplication and foreign gene expression were characterized in the insect cells transformed with Autographa californica nuclear polyhedrosis virus (AcNPV) immediate early 1 gene (IE1). Transformation efficiency of insect cells by AcNPV IE1 gene vector horboring foreign gene was approximately 8-fold higher in the Sf9 cells transformed previously with AcNPV IE1 gene than in the normal Sf9 cells. Virus multiplication and foreign gene expression of recombinant baculovirus in the Sf9 cells transformed with AcNPV IE1 gene were similar to those of the normal Sf9 cells. These results suggest that transformed cells displaying foreign gene product by using AcNPV IE1 gene promoter will be useful for the diverse applications of insect cells.

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Studies on the Induction of Transformation and Multiplication in Orchid Plants.(III) Expression of Gene Transferred into Orchid Protoplasts by Electroporation (난과식물의 형질전환 유도 및 다량증식에 관한 연구. III. Electroporation에 의해서 자란의 원형질체로 도입된 유전자의 발현)

  • 이정석;황성진김영준황백
    • KSBB Journal
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    • v.6 no.4
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    • pp.385-388
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    • 1991
  • Embryogenic cell suspension cultures of B. striata were established as transferred selected embryogenic callus into liquid medium. Protoplasts isolated from embryogenic cell suspensions were electroporated in buffered solutions containing plasmid DNA of pBI121. Transient GUS (beta-glucuronidase) activity measurement and selection for kanamycin resistent showed that expression of foreign genes and stable transformation were achieved. GUS transient gene expression was increased by increasing DNA concentration of pBI121 plasmid and affected by the level of the applied voltage. An optimal level of GUS activity was obtained after electroporation with a pulse of 200-300 voltage/1180 uF. Protoplast viability was up to the 80% at the optimal voltage.

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Video Expression Recognition Method Based on Spatiotemporal Recurrent Neural Network and Feature Fusion

  • Zhou, Xuan
    • Journal of Information Processing Systems
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    • v.17 no.2
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    • pp.337-351
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    • 2021
  • Automatically recognizing facial expressions in video sequences is a challenging task because there is little direct correlation between facial features and subjective emotions in video. To overcome the problem, a video facial expression recognition method using spatiotemporal recurrent neural network and feature fusion is proposed. Firstly, the video is preprocessed. Then, the double-layer cascade structure is used to detect a face in a video image. In addition, two deep convolutional neural networks are used to extract the time-domain and airspace facial features in the video. The spatial convolutional neural network is used to extract the spatial information features from each frame of the static expression images in the video. The temporal convolutional neural network is used to extract the dynamic information features from the optical flow information from multiple frames of expression images in the video. A multiplication fusion is performed with the spatiotemporal features learned by the two deep convolutional neural networks. Finally, the fused features are input to the support vector machine to realize the facial expression classification task. The experimental results on cNTERFACE, RML, and AFEW6.0 datasets show that the recognition rates obtained by the proposed method are as high as 88.67%, 70.32%, and 63.84%, respectively. Comparative experiments show that the proposed method obtains higher recognition accuracy than other recently reported methods.

A Case Study on Children's Informal Knowledge of the Fractional Multiplication (분수의 곱셈에서 비형식적 지식의 형식화 사례 연구)

  • Haek, Sun-Su;Kim, Won-Kyung
    • School Mathematics
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    • v.7 no.2
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    • pp.139-168
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    • 2005
  • The purpose of this study is to investigate children's informal knowledge of the fractional multiplication and to develop a teaching material connecting the informal and the formal knowledge. Six lessons of the pre-teaching material are developed based on literature reviews and administered to the 7 students of the 4th grade in an elementary school. It is shown in these teaching experiments that children's informal knowledge of the fractional multiplication are the direct modeling of using diagram, mathematical thought by informal language, and the representation with operational expression. Further, teaching and learning methods of formalizing children's informal knowledge are obtained as follows. First, the informal knowledge of the repeated sum of the same numbers might be used in (fractional number)$\times$((natural number) and the repeated sum could be expressed simply as in the multiplication of the natural numbers. Second, the semantic meaning of multiplication operator should be understood in (natural number)$\times$((fractional number). Third, the repartitioned units by multiplier have to be recognized as a new units in (unit fractional number)$\times$((unit fractional number). Fourth, the partitioned units should be reconceptualized and the case of disjoint between the denominator in multiplier and the numerator in multiplicand have to be formalized first in (proper fractional number)$\times$(proper fractional number). The above teaching and learning methods are melted in the teaching meterial which is made with corrections and revisions of the pre-teaching meterial.

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An Analysis on Processes of Justifying the Standard Fraction Division Algorithms in Korean Elementary Mathematics Textbooks (우리나라 초등학교 수학 교과서에서의 분수 나눗셈 알고리즘 정당화 과정 분석)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.105-122
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    • 2014
  • In this paper, fraction division algorithms in Korean elementary mathematics textbooks are analyzed as a part of the groundwork to improve teaching methods for fraction division algorithms. There are seemingly six fraction division algorithms in ${\ll}Math\;5-2{\gg}$, ${\ll}Math\;6-1{\gg}$ textbooks according to the 2006 curriculum. Four of them are standard algorithms which show the multiplication by the reciprocal of the divisors modally. Two non-standard algorithms are independent algorithms, and they have weakness in that the integration to the algorithms 8 is not easy. There is a need to reconsider the introduction of the algorithm 4 in that it is difficult to think algorithm 4 is more efficient than algorithm 3. Because (natural number)${\div}$(natural number)=(natural number)${\times}$(the reciprocal of a natural number) is dealt with in algorithm 2, it can be considered to change algorithm 7 to algorithm 2 alike. In textbooks, by converting fraction division expressions into fraction multiplication expressions through indirect methods, the principles of calculation which guarantee the algorithms are explained. Method of using the transitivity, method of using the models such as number bars or rectangles, method of using the equivalence are those. Direct conversion from fraction division expression to fraction multiplication expression by handling the expression is possible, too, but this is beyond the scope of the curriculum. In textbook, when dealing with (natural number)${\div}$(proper fraction) and converting natural numbers to improper fractions, converting natural numbers to proper fractions is used, but it has been never treated officially.

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Low-area Pipeline FFT Structure in OFDM System Using Common Sub-expression Sharing and CORDIC (Common sub-expression sharing과 CORDIC을 이용한 OFDM 시스템의 저면적 파이프라인 FFT 구조)

  • Choi, Dong-Kyu;Jang, Young-Beom
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.4
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    • pp.157-164
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    • 2009
  • An efficient pipeline MDC Radix-4 FFT structure is proposed in this paper. Every stages in pipeline FFT structure consists of delay' commutator and butterfly. Proposed butterflies in front and rear stages utilize CORDIC and Common Sub-expression Sharing(CSS) techniques, respectively. It is shown that proposed butterfly structure can reduce the number of adders through sharing common patterns of CSD type coefficients. The Verilog-HDL modeling and Synopsys logic synthesis results that the proposed structure show 48.2% cell area reduction in the complex multiplication part and 22.1% cell area reduction in overall 256-point FFT structure comparison with those of the conventional structures. Consequently, the proposed FFT structure can be efficiently used in various OFDM systems.

High Expression of KIFC1 in Glioma Correlates with Poor Prognosis

  • Pengfei Xue;Juan Zheng;Rongrong Li;Lili Yan;Zhaohao Wang;Qingbin Jia;Lianqun Zhang;Xin Li
    • Journal of Korean Neurosurgical Society
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    • v.67 no.3
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    • pp.364-375
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    • 2024
  • Objective : Kinesin family member C1 (KIFC1), a non-essential kinesin-like motor protein, has been found to serve a crucial role in supernumerary centrosome clustering and the progression of several human cancer types. However, the role of KIFC1 in glioma has been rarely reported. Thus, the present study aimed to investigate the role of KIFC1 in glioma progression. Methods : Online bioinformatics analysis was performed to determine the association between KIFC1 expression and clinical outcomes in glioma. Immunohistochemical staining was conducted to analyze the expression levels of KIFC1 in glioma and normal brain tissues. Furthermore, KIFC1 expression was knocked in the glioma cell lines, U251 and U87MG, and the functional roles of KIFC1 in cell proliferation, invasion and migration were analyzed using cell multiplication, wound healing and Transwell invasion assays, respectively. The autophagic flux and expression levels matrix metalloproteinase-2 (MMP2) were also determined using imaging flow cytometry, western blotting and a gelation zymography assay. Results : The results revealed that KIFC1 expression levels were significantly upregulated in glioma tissues compared with normal brain tissues, and the expression levels were positively associated with tumor grade. Patients with glioma with low KIFC1 expression levels had a more favorable prognosis compared with patients with high KIFC1 expression levels. In vitro, KIFC1 knockdown not only inhibited the proliferation, migration and invasion of glioma cells, but also increased the autophagic flux and downregulated the expression levels of MMP2. Conclusion : Upregulation of KIFC1 expression may promote glioma progression and KIFC1 may serve as a potential prognostic biomarker and possible therapeutic target for glioma.

A Degree of Difficulty in Operations Area in Elementary Mathematics (초등수학에서 연산영역의 곤란도 분석)

  • Ahn, Byoung-Gon
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.1
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    • pp.17-30
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    • 2009
  • This paper is about the basic skills of four operations in numbers and operations areas from step 1 to step 3 in elementary mathematics. Here are the results of the evaluation. First, addition and subtraction take the largest time. The average difficulty rate in operations area is 91.2%. Most students understand the contents of textbook well. Specifically, students easily understand the step 1. However, subtraction has lower difficulty rate than addition. Also, three mixed computation, calculation in horizontal, and rounding(rounding down) are difficult areas for students. The contents of step 2 are fully understood. However, lots of mistakes are found in the process of rounding(rounding down), and sentence problems are thought as difficult. Second, the multiplication is first starting in the step 2-Ga. The unit 'Multiplication 99' takes 13 hours, the longest. The difficulty rate in this unit is 89.4%, students understand well. However, students are influenced by addition and subtraction errors in the process of multiplication, and have difficulty in changing the sentence problem to multiplication expression. Third, the division, which starts in step 3-Ga, has 89.9% of difficulty rate. Students well understand. Result of this paper: most of students understand well four operations, but accurate concept, the relationship between multiplication and division, specific instructions in teaching principles of division calculation and sentence problems are in need. Setting the amount of the contents and difficulty rate in understanding are depends on every school's situation, so suggesting universal standard is really hard. However, studying more objects broadly and specific study will be helpful to suggest proper contents and effective teaching.

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