• 제목/요약/키워드: Parity Function

검색결과 52건 처리시간 0.018초

ON THE PARITY OF THE CLASS NUMBER OF SOME REAL BIQUADRATIC FUNCTION FIELD

  • Ahn, Jaehyun;Jung, Hwanyup
    • 충청수학회지
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    • 제23권1호
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    • pp.169-176
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    • 2010
  • Let $k={\mathbb{F}}_q(T)$ and ${\mathbb{A}}={\mathbb{F}}_q[T]$. In this paper, we obtain the the criterion for the parity of the ideal class number h(${\mathcal{O}}_K$) of the real biquadratic function field $K=k(\sqrt{P_1},\;\sqrt{P_2})$, where $P_1$, $P_2{\in}{\mathbb{A}}$ be two distinct monic primes of even degree.

함수복잡도를 이용한 큐브선택과 이단계 리드뮬러표현의 최소화 (Cube selection using function complexity and minimizatio of two-level reed-muller expressions)

  • Lee, Gueesang
    • 전자공학회논문지A
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    • 제32A권6호
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    • pp.104-110
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    • 1995
  • In this paper, an effective method for the minimization of two-level Reed-muller expressions by cube selection whcih considers functional complexity is presented. In contrast to the previous methods which use Xlinking operations to join two cubes for minimizatio, the cube selection method tries to select cubes one at a time until they cover the ON-set of the given function. This method works for most benchmark circuits, but for parity-type functions it shows power performance. To solve this problem, a cost function which computes the functional complexity instead of only the size of ON-set of the function is used. Therefore the optimization is performed considering how the trun minterms are grouped together so that they can be realized by only a small number of cubes. In other words, it considers how the function is changed and how the change affects the next optimization step. Experimental results shows better performance in many cases including parity-type functions compared to pervious results.

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Development of the Discrete-Ordinates, Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation

  • Noh, Taewan
    • Nuclear Engineering and Technology
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    • 제32권6호
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    • pp.605-617
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    • 2000
  • Nodal transport methods are studied for the solution of two dimensional discrete-ordinates, simplified even-parity transport equation(SEP) which is known to be an approximation to the true transport equation. The polynomial expansion nodal method(PEN) and the analytic function expansion nodal method(AFEN)which have been developed for the diffusion theory are used for the solution of the discrete-ordinates form of SEP equation. Our study shows that while the PEN method in diffusion theory can directly be converted without complication, the AFEN method requires a theoretical modification due to the nonhomogeneous property of the transport equation. The numerical results show that the proposed two methods work well with the SEP transport equation with higher accuracies compared with the conventional finite difference method.

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Assessing reproductive performance and predictive models for litter size in Landrace sows under tropical conditions

  • Praew Thiengpimol;Skorn Koonawootrittriron;Thanathip Suwanasopee
    • Animal Bioscience
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    • 제37권8호
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    • pp.1333-1344
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    • 2024
  • Objective: Litter size and piglet loss at birth significantly impact piglet production and are closely associated with sow parity. Understanding how these traits vary across different parities is crucial for effective herd management. This study investigates the patterns of the number of born alive piglets (NBA), number of piglet losses (NPL), and the proportion of piglet losses (PPL) at birth in Landrace sows under tropical conditions. Additionally, it aims to identify the most suitable model for describing these patterns. Methods: A dataset comprising 2,322 consecutive reproductive records from 258 Landrace sows, spanning parities from 1 to 9, was analyzed. Modeling approaches including 2nd and 3rd degree polynomial models, the Wood gamma function, and a longitudinal model were applied at the individual level to predict NBA, NPL, and PPL. The choice of the best-fitting model was determined based on the lowest mean and standard deviation of the difference between predicted and actual values, Akaike information criterion (AIC), and Bayesian information criterion (BIC). Results: Sow parity significantly influenced NBA, NPL, and PPL (p<0.0001). NBA increased until the 4th parity and then declined. In contrast, NPL and PPL decreased until the 2nd parity and then steadily increased until the 8th parity. The 2nd and 3rd degree polynomials, and longitudinal models showed no significant differences in predicting NBA, NPL, and PPL (p>0.05). The 3rd degree polynomial model had the lowest prediction standard deviation and yielded the smallest AIC and BIC. Conclusion: The 3rd degree polynomial model offers the most suitable description of NBA, NPL, and PPL patterns. It holds promise for applications in genetic evaluations to enhance litter size and reduce piglet loss at birth in sows. These findings highlight the importance of accounting for sow parity effects in swine breeding programs, particularly in tropical conditions, to optimize piglet production and sow performance.

AN UPPER BOUND ON THE NUMBER OF PARITY CHECKS FOR BURST ERROR DETECTION AND CORRECTION IN EUCLIDEAN CODES

  • Jain, Sapna;Lee, Ki-Suk
    • 대한수학회지
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    • 제46권5호
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    • pp.967-977
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    • 2009
  • There are three standard weight functions on a linear code viz. Hamming weight, Lee weight, and Euclidean weight. Euclidean weight function is useful in connection with the lattice constructions [2] where the minimum norm of vectors in the lattice is related to the minimum Euclidean weight of the code. In this paper, we obtain an upper bound over the number of parity check digits for Euclidean weight codes detecting and correcting burst errors.

다중 블록길이를 지원하는 IEEE 802.11n LDPC 복호기 구조 (An Architecture for IEEE 802.11n LDPC Decoder Supporting Multi Block Lengths)

  • 나영헌;신경욱
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2010년도 춘계학술대회
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    • pp.798-801
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    • 2010
  • 본 논문에서는 IEEE 802.11n 표준에 제시된 3가지 블록길이(648, 1,296, 1,944)를 지원하는 효율적인 LDPC (Low-Density Parity Check) 복호기 구조를 제안한다. LDPC 복호기의 핵심 블록인 DFU(Decoding Function Unit)의 연산 복잡도와 하드웨어 복잡도를 효율적으로 감소시킬 수 있도록 최소합 알고리듬과 블록직렬 방식의 layered 구조를 적용하였다. 또한 효율적인 다중 블록길이의 구현을 위해 PCM 값을 저장하는 H-ROM의 최적화 방법을 제안하였으며, 이를 통해 ROM의 크기를 약 42% 감소시켰다. 또한, 레이어 간의 효율적인 메모리 읽기/쓰기 방법을 적용하여 복호기 동작을 최적화시켰다.

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패리티공간기법과 신경회로망을 이용한 원전 공정변수 추정 (Estimation of the Process Variable for Nuclear Power Plants Using the Parity Space Method and the Neural Network)

  • 오성헌;김대일;김건중
    • 대한전기학회논문지
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    • 제43권7호
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    • pp.1169-1177
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    • 1994
  • The function estimation characteristics of neural networks can be used sensor signal estimation of the nuclear power plants. In case of applying the neural network to the signal estimation of redundant sensors, it is an important problem that the redundant sensor signals used as the input signals of neural network should be validated. In this paper, we simplify the conventional parity space method in order to input the validated signal to the neural network and lso propose the sensor signal validation method, which estimates the reliable sensor output combining the neural network with the simplified parity space method. The acceptability of the proposed process variable estimation method is demonstrated by using the simulation data in safety injection accident of the nuclear power plant.

단순 우성 중성자 수송방정식을 이용한 노달 수송해법 (Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation)

  • 노태완
    • 방사성폐기물학회지
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    • 제16권2호
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    • pp.211-221
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    • 2018
  • 중성자 확산방정식에 대해 개발된 노달 확산이론을 단순 우성 중성자 수송방정식에 적용할 수 있는 노달 수송이론을 제시한다. 노달이론으로 다항식전개 노달법과 해석함수전개 노달법을 채택하였고 단순 우성 수송방정식은 수송방정식에 대한 합리적 근사이며 기존의 노달해법이 방향 차분된 단순 우성 수송방정식에 정확히 적용될 수 있음을 수치적으로 확인하였다. 본 연구에서는 방법론 개발이 목적이므로 노드 당 최소한의 미지수를 정의하여 사용했지만 미지수를 추가함으로써 정확도를 증가시킬 수 있음은 기존의 노달 확산이론의 경우와 같다. 즉 중성자 수송방정식에 대해 노달이론을 적용하여 소격격자에 대해 계산 정확성이 확보되고 이는 결국 계산 효율성 증대로 나타난다.

중풍 환자의 배뇨장애에 대한 가미대지황탕가감 치료 증례보고 (Case Report of Post-CVA Voiding Dysfunction Treated with Gamidaejihwang-tangaggam)

  • 홍상훈;박상은
    • 대한한의학방제학회지
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    • 제23권2호
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    • pp.261-269
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    • 2015
  • Objectives : The purpose of this case reports is to report the possibility of Post-CVA voiding dysfunction treated with Gamidaejihwang-tangaggam(加味大地黃湯加減). Methods : Three patients with Post-CVA voiding dysfunction were treated by Gamidaejihwang-tanggagam. Effect of treatment is assessed as Bladder Function Parity. Results and conclusions : Bladder function parity score improved, in three case. Additional research is needed on the effects of Gamidaejihwang-tanggagam for a Post-CVA Voiding disfunction.

Implementation of a High Performance XOR-XNOR Circuit

  • 김정범
    • 한국전자통신학회논문지
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    • 제17권2호
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    • pp.351-356
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    • 2022
  • The parity function can be implemented with XOR (exclusive-OR) and XNOR (exclusive NOR) circuit. In this paper we propose a high performance XOR-XNOR circuit. The proposed circuitreduced the internal load capacitance on critical path and implemented with 8 transistors. The circuit produces a perfect output signals for all input combinations. Compared with the previous circuits, the proposed circuit presents the improved characteristics in average propagation delay time, power dissipation, power-delay product (PDP), and energy-delay-product (EDP). The proposed circuits are implemented with standard CMOS 0.18um technology. Computer simulations using SPICE show that the proposed circuit realizes the expected logic functions and achieves a reasonable performance.