• The Mathematical Education
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• v.50 no.1
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• pp.41-59
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• 2011

Given the importance of algebra in the early grades, this paper analyzed the contents of whole numbers and their operations from the perspectives of generalized arithmetic. In particular, the focus of analysis was given to the properties of 0 and 1, those of operations such as commutativity, associativity, and distributivity, and the relations between operations. As such, this paper analyzed in detail how such properties and relations were introduced and expanded across different grades. It is expected that many issues in this paper will serve basic information to develop instructional materials in a way to fostering students' algebraic thinking in the elementary grades.

• Journal of the Korea Computer Industry Society
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• v.3 no.2
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• pp.149-158
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• 2002

This paper deals with design and verification of an arithmetic logic unit(ALU) to be used for development of optical computers. The ALU is based on optical switching device, $LiNbO_3$, which is easy to interface with electronic technology and most common in the market. It consists of an arithmetic/logic circuit performing logic operations, memory devices storing operands and the results of operations, and supplementary circuits to select instruction codes, and operates in bit-serial manner. In addition, a simulator is developed for verification of the design, and a set of basic instructions are executed in sequence and step-by-step changes in the accumulator and the memory are examined through simulations, to show that various operations are performed correctly.

• Journal of the Institute of Convergence Signal Processing
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• v.13 no.1
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• pp.19-25
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• 2012

An adaptive system is a well-known method for removing noise from noise-corrupted speech. In this paper, we perform a least mean square (LMS) based on wavelet adaptive algorithm. It establishes the faster convergence rate of as compared to time domain because of eigenvalue distribution width. And this paper provides the basic tool required for the FIR algorithm whose algorithm reduces the arithmetic complexity. We consider a new fast short-length running FIR structure in discrete wavelet adaptive algorithm. We compare FIR algorithm and short-length fast running FIR algorithm (SFIR) to the proposed fast short-length running FIR algorithm(FSFIR) for arithmetic complexities.

• The Journal of Engineering Research
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• v.2 no.1
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• pp.31-37
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• 1997

This paper describes the design and implementation of 8 bit ALU graphic simulator which helps students who study the structure and operation course of general ALU. ALU of this paper consists of three parts, arithmetic circuit, logic circuit, and shifter. Each of them performs as follows. Arithmetic circuit performs arithmetic operation such as addition, subtraction, 1 increment, 1 decrement, 2's complement, logic circuit performs logic operation such as OR, AND, XOR, NOT, and shifter performs shift operation and transfers the result of circuits of arithmetic, logic to data bus. The instructions which relate to these basic ALU functions was selected from Z80 instructions and ALU circuit was designed with those instructions and this designed ALU circuit was implemented on graphic screen. And all state of this data operation course in ALU was showed by bit and logic gate unit.

• Journal of The Korean Association For Science Education
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• v.27 no.1
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• pp.93-104
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• 2007

The purpose of this study is to investigate brain activity both during the processing of a scientific hypothesis about biological phenomena and mental arithmetic using 3.0T fMRI at the KAIST. For this study, 16 healthy male subjects participated voluntarily. Each subject's functional brain images by performing a scientific hypothesis task and a mental arithmetic task for 684 seconds were measured. After the fMRI measuring, verbal reports were collected to ensure the reliability of brain image data. This data, which were found to be adequate based on the results of analyzing verbal reports, were all included in the statistical analysis. When the data were statistically analyzed using SPM2 software, the scientific hypothesis generating process was found to have independent brain network different from the mental arithmetic process. In the scientific hypothesis process, we can infer that there is the process of encoding semantic derived from the fusiform gyrus through question-situation analysis in the pre-frontal lobe. In the mental arithmetic process, the area combining pre-frontal and parietal lobes plays an important role, and the parietal lobe is considered to be involved in skillfulness. In addition, the scientific hypothesis process was found to be accompanied by scientific emotion. These results enabled the examination of the scientific hypothesis process from the cognitive neuroscience perspective, and may be used as basic materials for developing a learning program for scientific hypothesis generation. In addition, this program can be proposed as a model of scientific brain-based learning.

• Proceedings of the KIEE Conference
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• 1999.11c
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• pp.788-790
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• 1999

A software implementation of floating-point addition and multiplication is presented. For this, the ANSI/IEEE standard for binary floating-point arithmetic is reviewed briefly. The architecture and behavior of the $Intel^{(R)}\;80{\times}87$ FPU is fully studied and basic algorithms for floating-point addition and multiplication are used for the implementation. Some examples and their verifications are also presented.

• Proceedings of the IEEK Conference
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• 2000.07a
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• pp.195-198
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• 2000

It is possible to perform the digital fuzzy logical high-speed and high-precision computation by the use of redundantly-represented binary positive-digit number arithmetic operation. In this paper, as basic operation circuits in the fuzzy logic new voltage-mode 4-valued binary parallel processing operation circuits using positive redundantly-expressed binary-coded numbers is discussed.

• Education of Primary School Mathematics
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• v.1 no.1
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• pp.73-83
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• 1997

옛날부터 계산을 잘하는 것이 수학적으로 우수하다고 생각해왔으며, 거의 1900년까지도 교육을 받았다는 것은 계산할 수 있다는 것을 의미하였다. 초등학교의 대부분의 시간은 덧셈, 뺄셈, 곱셈, 나눗셈을 배우는 데 투입되었다. 현재에도 초등학교의 교육과정은 기본 교육에 중점을 두어 3R's(reading, writing, arithmetic)을 강조하고 있으며, 많은 교사나 학부모들은 계산능력에 대해 지대한 관심을 가지고 있다. 1970년대의 '새 수학' 운동으로 계산력이 약화되었다는 비난이 쏟아지자 '기본에 충실하자(Back to basic)'는 운동으로 계산이 강화되기도 하였다.(중략)

• Journal of applied mathematics & informatics
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• v.41 no.2
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• pp.311-320
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• 2023

In this article, a new penalty and different ranking algorithms are used to find the lowest transportation costs for the fuzzy transportation problem. This approach utilises different ranking techniques when dealing with triangular fuzzy numbers. Also, we find that the fuzzy transportation solution of the proposed method is the same as the Fuzzy Modified Distribution Method (FMODI) solution. Finally, examples are used to show how a problem is solved.

• Korean Journal of Medicinal Crop Science
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• v.21 no.4
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• pp.247-254
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• 2013

Collected germplasms of five representative dandelion species (Taraxacum ohwianum, T. platycarpum, T. platypecidum, T. officinale, and T. coreanum) were 104 lines from different habitates in Korea and China. Their genetic diversity was analyzed by genomic fingerprinting method using amplified fragment length polymorphism (AFLP). AFLP results of 6 primer combinations were revealed 1,176 total DNA fragments and 523 polymorphic bands with a 44.4% ratio of polymorphism. On the basis of similarity coefficient analysis by unweight pair group method with arithmetic averages (UPGMA), 104 dandelion germplasm lines were ranged from 0.64 to 0.99 and clustered distinct five group depending on the species. Furthermore, a principal coordinate analysis (PCA) by the application of multi-variate analysis indicated significantly greater differences among species than geographical origins.