• Title/Summary/Keyword: addition and subtraction

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Sub-One volt DC Power Supply Expandable 4-bit Adder/Subtracter System using Adiabatic Dynamic CMOS Logic Circuit Technology

  • Takahashi, Kazukiyo;Yokoyama, Michio;Shouno, Kazuhiro;Mizunuma, Mitsuru
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1543-1546
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    • 2002
  • The expandable 4 bit adder/subtracter IC was designed using the adiabatic and dynamic CMOS logic (ADCL) circuit as the ultra-low power consumption basic logic circuit and the IC was fabricated using a standard 1.2 ${\mu}$ CMOS process. As the result the steady operation of 4 bit addition and subtraction has been confirmed even if the frequency of the sinusoidal supply voltage is higher than 10MHz. Additionally, by the simulation, at the frequency of 10MHz, energy consumption per operation is obtained as 93.67pJ (ar addition and as 118.67pJ for subtraction, respectively. Each energy is about 1110 in comparison with the case in which the conventional CMOS logic circuit is used. A simple and low power oscillation circuit is also proposed as the power supply circuit f3r the ADCL circuit. The oscillator operates with a less one volt of DC supply voltage and around one milli-watts power dissipation.

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Clinincal Evidence on the Treatment of Benign Prostatic Hyperplasia (전립선비대증에 대한 치료의 근거)

  • Yoon, Han Sung;Jo, Han Shin;Kim, Dae Geon;Lee, Ji Hye;Kim, So Yeon;Choi, Jun Yong;Han, Chang Woo;Park, Seong Ha
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.29 no.5
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    • pp.361-369
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    • 2015
  • Benign prostatic hyperplasia(BPH) is a common disease among male. However, its cause and treatment are not known and it is easy to relapse to the patients again after some treatment. Chinese has got an active research on BPH of traditional Chinese medicine. We researched the Chinese clinical papers from 2000 to 2014. After translating those papers, we analyzed total 45 papers by classifying those according to frequently used prescriptions, differentiation of symptoms, signs, addition and subtraction of each medicine and the quantity of frequently used medicines. Through this study it was to provide evidence in the diagnosis and treatment of BPH. The prescription of BPH was classified according to its stage. Mainly damp heat patterns(濕熱型) induce dysuria, Qi-stagnation and blood stasis patterns(氣滯血瘀型) induce pain, While Kidney deficiency patterns(腎虛型) induce sexual function disorder. This analysis report would be able to provide the basis of taking a research on BPH. In addition, it could be applied on a stereotype of BPH as well as a variety of symptoms with frequently used prescription and addition and subtraction of each medicine.

A Study on the Order of Mixed Calculations in Korean Elementary School Mathematics (우리나라 초등학교 수학에서의 혼합계산 순서에 대한 연구)

  • Ko, Jun Seok;Choi, Jong Hyeon;Lee, Seung Eun;Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.3
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    • pp.531-546
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    • 2017
  • This study explores the basis for determining priority among the four arithmetical operations in order to provide useful pedagogical content knowledge for teaching the order of operations. The study also discusses the perspective for viewing the order of operations. It presents the following five suggestions based on the results of the discussion. First, teachers should be made to realize that the same result can be obtained on calculation even when subtraction and division are performed first in mixed operations of addition and subtraction and mixed operations of multiplication and division. Second, teachers should understand why the rule of calculating sequentially from the left side of an equation has become customary. Third, teachers should be offered an explanation for the driver of the rule setting that multiplication takes precedence over addition in mixed operations of multiplication and addition. Fourth, the significance of the quantity within parenthesis must be emphasized to teachers. Fifth, teachers must gain an in-depth understanding about the order of operations by getting a description of all the customary and conceptual perspectives on the order of operations when describing the same in the teacher's guide.

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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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Moving Target Detection based on Frame Subtraction and Morphological filter with Drone Imaging (프레임 감산과 형태학적 필터를 이용한 드론 영상의 이동표적의 검출)

  • Lee, Min-Hyuck;Yeom, SeokWon
    • Journal of the Institute of Convergence Signal Processing
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    • v.19 no.4
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    • pp.192-198
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    • 2018
  • Recently, the use of drone has been increasing rapidly in many ways. A drone can capture remote objects efficiently so it is suitable for surveillance and security systems. This paper discusses three methods for detecting moving vehicles using a drone. We compare three target detection methods using a background frame, preceding frames, or moving average frames. They are subtracted from a current frame. After the frame subtraction, morphological filters are applied to increase the detection rate and reduce the false alarm rate. In addition, the false alarm region is removed based on the true size of targets. In the experiments, three moving vehicles were captured by a drone, and the detection rate and the false alarm rate were obtained by three different methods and the results are compared.

A study on vocabularies related to four fundamental rules of arithmetic used in elementary school mathematics (초등학교 수학에서 사용하는 사칙계산 관련 어휘에 관한 연구)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.185-205
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    • 2013
  • In this study, to begin with, it was discussed to gather vocabularies which are expected to be vocabularies related to four fundamental rules of arithmetic and classify them according to kinds and groups, to demarcate vocabularies related to four fundamental rules of arithmetic for using in elementary school mathematics which are associated with addition, subtraction, multiplication, and division directly. Next, the basic vocabularies related to four fundamental rules of arithmetic were discussed. At this time, regarding vocabularies related addition, subtraction, multiplication, and division as coming from the verb add, subtract, multiply, divide respectively, vocabularies that contains the stem of each verb were considered as the basic vocabularies related to four fundamental rules of arithmetics. Following it, vocabularies which assist the operation and indicate the result of the operation were included, then, vocabularies related to four fundamental rules of arithmetic for using in elementary school mathematics were demarcated and presented according to the following criteria. First, a newly coined verb or derivative using the noun form of a certain verb as a root should not be used. Second, such vocabularies of which examples do not exist or rarely exist in textbooks/workbooks should not be used, even though they are registered in mathematics glossary book published by ministry of education or Korean dictionary published by the national institute of Korean language. Third, vocabularies which are not replaceable and vocabularies which have some didactical reasons for using them should be used.

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A Study on the Extraction of Road & Vehicles Using Image Processing Technique (영상처리 기술을 이용한 도로 및 차량 추출 기법에 관한 연구)

  • Ga, Chill-O;Byun, Young-Gi;Yu, Ki-Yun;Kim, Yong-Il
    • Journal of Korean Society for Geospatial Information Science
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    • v.13 no.4 s.34
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    • pp.3-9
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    • 2005
  • The extraction of traffic information based on image processing is under broad research recently because the method based on image processing takes less cost and effort than the traditional method based on physical equipment. The main purpose of the algorithm based on image processing is to extract vehicles from an image correctly. Before the extraction, the algorithm needs the pre-processing such as background subtraction and binary image thresholding. During the pre-processing much noise is brought about because roadside tree and passengers in the sidewalk as well as vehicles are extracted as traffic flow. The noise undermines the overall accuracy of the algorithm. In this research, most of the noise could be removed by extracting the exact road area which does not include sidewalk or roadside tree. To extract the exact road area, traffic lanes in the image were used. Algorithm speed also increased. In addition, with the ratio between the sequential images, the problem caused by vehicles' shadow was minimized.

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THE GENERALIZED TRAPEZOIDAL FUZZY SETS

  • Lee, BongJu;Yun, Yong Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.253-266
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    • 2011
  • We would like to generalize about trapezoidal fuzzy set and to calculate four operations based on the Zadeh's extension principle for two generalized trapezoidal fuzzy sets. And we roll up triangular fuzzy numbers and generalized triangular fuzzy sets into it. Since triangular fuzzy numbers and generalized triangular fuzzy sets are generalized trapezoidal fuzzy sets, we need no more the separate painstaking calculations of addition, subtraction, multiplication and division for two such kinds once the operations are done for generalized trapezoidal fuzzy sets.

STUDIES ON PROPERTIES AND CHARACTERISTICS OF TWO NEW TYPES OF q-GENOCCHI POLYNOMIALS

  • KANG, JUNG YOOG
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.57-72
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    • 2021
  • In this paper, we construct q-cosine and sine Genocchi polynomials using q-analogues of addition, subtraction, and q-trigonometric function. From these polynomials, we obtain some properties and identities. We investigate some symmetric properties of q-cosine and sine Genocchi polynomials. Moreover, we find relations between these polynomials and others polynomials.

Children′s Representations of Numbers

  • Park, Man-Goo
    • Research in Mathematical Education
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    • v.6 no.1
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    • pp.29-38
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    • 2002
  • The purpose of this paper was to examine early numerical representations between American and Korean children. Fifty-five first graders (35 Korean and 20 American) participated in the study. According to the findings of the current study, the author concluded that the Korean children had a stronger conception of base ten representations of numbers than that of the American children. The Korean children used various strategic reasoning such as decomposition and recomposition on the basis of base 10 structure to solve addition and subtraction problems effectively. However, the author cannot conclude that language differences would be the largest factor that would make Korean children sapient in the representations of base ten structures.

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