• 제목/요약/키워드: Complex numbers

검색결과 443건 처리시간 0.029초

퍼지 신경회로망을 이용한 원격감지 영상의 분류 (Classification of remotely sensed images using fuzzy neural network)

  • 이준재;황석윤;김효성;이재욱;서용수
    • 전자공학회논문지S
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    • 제35S권3호
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    • pp.150-158
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    • 1998
  • This paper describes the classification of remotely sensed image data using fuzzy neural network, whose algorithm was obtained by replacing real numbers used for inputs and outputs in the standard back propagation algorithm with fuzzy numbers. In the proposed method, fuzzy patterns, generated based on the histogram ofeach category for the training data, are put into the fuzzy neural network with real numbers. The results show that the generalization and appoximation are better than that ofthe conventional network in determining the complex boundary of patterns.

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A NOTE ON THE ZEROS OF THE q-BERNOULLI POLYNOMIALS

  • Ryoo, Cheon-Seoung
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.805-811
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    • 2010
  • It is the aim of this paper to observe an interesting phenomenon of 'scattering' of the zeros of the q-Bernoulli polynomials $B_{n,q}(x)$ for -1 < q < 0 in complex plane. Observe that the structure of the zeros of the Genocchi polynomials $G_n(x)$ resembles the structure of the zeros of the q-Bernoulli polynomials $B_{n,q}(x)$ as q $\rightarrow$ -1.

공간 복합기구연쇄의 기구학 및 동역학 해석에 관한 연구 (A Study on the Kinematic and Dynamic Analyses of Spatial Complex Kinematic Chain)

  • 김창부;김효식
    • 대한기계학회논문집
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    • 제17권10호
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    • pp.2543-2554
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    • 1993
  • In this paper, the kinematic and dynamic analyses of spatial complex kinematic chain are studied. Through the new method both using the set of identification numbers and applying the DenavitHartenberg link representation method to the spatial complex kinematic chain, the kinematic configuration of the chain is represented. Some link in the part of closed chain being fictitiously cutted, the complex kinematic chain is transformed to the branched chain. The kinematic constraint equations are derived from the constraint conditions which the cutted sections of the link have to satisfy. And the joint variables being partitioned in the independent joint variables and the dependent joint variables, the dependent variables are calculated from the independent variables by using the Newton-Raphson iterative method and the pseudoinverse matrix. The equations of motion are derived under the independent joint variables by using the principle of virtual work. Algorithms for dynamic analysis are presented and simulations are done to verify accuracy and efficiency of the algorithms.

A q-ANALOGUE OF $\omega-BERNOULLI$ NUMBERS AND THEIR APPLICATIONS

  • Son, Jin-Woo;Jang, Douk-Soo
    • 대한수학회보
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    • 제38권2호
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    • pp.399-412
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    • 2001
  • In this paper, we consider that the q-analogue of w$\omega-Bernoulli numbers\; B_i(\omega, q)$. And we calculate the sums of products of two q-analogue of $\omega-Bernoulli numbers B_i(\omega, q)$ in complex cases. From this result, we obtain the Euler type formulas of the Carlitz´s q-Bernoulli numbers $\beta_i(q)$ and q-Bernoulli numbers $B_i(q)$. And we also calculate the p-adic Stirling type series by the definition of $B_i(\omega, q)$ in p-adic cases.

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유효강우량 산정을 위한 곡선번호방법의 적용성 (Validity of Runoff Curve Number Method for Estimating of Effective Rainfall)

  • 윤태훈
    • 물과 미래
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    • 제24권2호
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    • pp.97-108
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    • 1991
  • 유역의 수문학적 토양피복형으로부터 유역 또는 합성곡선번호를, 강우-유출기록으로부터 관측곡선 번호를, 관측곡선번호의 중앙치로서 중위유선번호를 산정하였다. 유출기록을 기준으로 평가할 경우 AMC-II조건의 CN-II에 의하면 과소하게, AMC-III조건의 CN-III에 의하면 과대하게 유효강우량이 산정된다. 따라서 유효강우량산정의 개선방안으로 CN-II와 CN-III의 중간값인 조정곡선번호가 정의될 수 있다. 중위곡선번호에 의하여 산정된 유출이 관측치에 가장 근접하게 되는 점을 감안하면 계측유역의 대표곡선번호로서 중위곡선번호가 사용될 수 있다.

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교과서에 표현된 복소수와 이에 대한 학생들의 이해 실태 분석 (Complex number on textbooks and Analysis on understanding state of students)

  • 박선호;표성수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권1호
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    • pp.1-19
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    • 2012
  • In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.