• Title/Summary/Keyword: 홍정하(洪正夏)

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Mathematics of Chosun Dynasty and $Sh\grave{u}\;l\breve{i}\;j\bar{i}ng\;y\grave{u}n$ (數理精蘊) (조선(朝鮮) 산학(算學)과 수리정온(數理精蘊))

  • Hong Young-Hee
    • Journal for History of Mathematics
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    • v.19 no.2
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    • pp.25-46
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    • 2006
  • We investigate the process of western mathematics into Chosun and its influences. Its initial and middle stages are examined by Choi Suk Jung(崔錫鼎, $1645\sim1715$)'s Gu Su Ryak(九數略), Hong Jung Ha(洪正夏, $1684\sim?$)'s Gu Il Jib(九一集) and Hwang Yun Suk(黃胤錫, $1719\sim1791$)'s I Su Shin Pyun(理藪新編), Hong Dae Yong(洪大容, $1731\sim1781$)'s Ju Hae Su Yong(籌解需用), respectively. Western mathematics was transmitted for the study of the Shi xian li(時憲曆) when it was introduced in Chosun. We also analyze Su Ri Jung On Bo Hae(數理精蘊補解, 1730?) whose author studied $Sh\grave{u}\;l\breve{i}\;j\bar{i}ng\;y\grave{u}n$ most thoroughly, in particular for astronomy, and finally Lee Sang Hyuk(李尙爀, $1810\sim?$), Nam Byung Gil(南秉吉, $1820\sim1869$) who studied together structurally western mathematics.

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On the publication of Hong JeongHa's GuIlJib (홍정하의 구일집의 저술에 관하여 - 홍정하 탄생 330주년을 기념하며 -)

  • REE, Sangwook;KOH, Youngmee
    • Journal for History of Mathematics
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    • v.28 no.5
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    • pp.233-248
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    • 2015
  • Year 2014 was very special to Korean mathematical society. Year 2014 was the Mathematical Year of Korea, and the International Congress of Mathematicians "ICM 2014" was held in Seoul, Korea. The year 2014 was also the 330th anniversary year of the birth of Joseon mathematician Hong JeongHa. He is one of the best, in fact the best, of Joseon mathematicians. So it is worth celebrating his birth. Joseon dynasty adopted a caste system, according to which Hong JeongHa was not in the higher class, but in the lower class of the Joseon society. In fact, he was a mathematician, a middle class member, called Jungin, of the society. We think over how Hong JeongHa was able to write his mathematical book GuIlJib in Joseon dynasty.

Mathematical Structures of Joseon mathematician Hong JeongHa (조선(朝鮮) 산학자(算學者) 홍정하(洪正夏)의 수학적(數學的) 구조(構造))

  • Hong, Sung Sa;Hong, Young Hee;Lee, Seung On
    • Journal for History of Mathematics
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    • v.27 no.1
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    • pp.1-12
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    • 2014
  • From the mid 17th century, Joseon mathematics had a new beginning and developed along two directions, namely the traditional mathematics and one influenced by western mathematics. A great Joseon mathematician if not the greatest, Hong JeongHa was able to complete the Song-Yuan mathematics in his book GuIlJib based on his studies of merely Suanxue Qimeng, YangHui Suanfa and Suanfa Tongzong. Although Hong JeongHa did not deal with the systems of equations of higher degrees and general systems of linear congruences, he had the more advanced theories of right triangles and equations together with the number theory. The purpose of this paper is to show that Hong was able to realize the completion through his perfect understanding of mathematical structures.

Areas in MukSaJibSanBeob and GuIlJib (묵사집산법(默思集算法)과 구일집(九一集)에서의 넓이)

  • Khang, Mee Kyung
    • Journal for History of Mathematics
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    • v.27 no.4
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    • pp.259-269
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    • 2014
  • In China and Joseon, the measurement of the areas of various plane figures is a very important subject for mathematical officials because it is connected directly with tax problems. Most of mathematical texts in China and Joseon contained Chinese character '田', which means a field for farming, in title name for parts that dealt with problems of areas and treated as areas of plane figures. The form of mathematical texts in Joseon is identical with those in China because mathematicians in Joseon referred to texts in China. Gyeong SeonJing and Hong JeongHa also referred to Chinese texts. But they added their interpretations or investigated new methods for the measurement of areas. In this paper, we investigate the history of the measurement of areas in Joseon, which described in two books MukSaJibSanBeob and GuIlJib, with comparing some mathematical texts in China.

Volumes of Solids in Joseon Mathematics (조선(朝鮮) 산학(算學)과 체적(體積))

  • Hong, Sung Sa;Hong, Young Hee;Kim, Chang Il
    • Journal for History of Mathematics
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    • v.27 no.2
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    • pp.101-110
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    • 2014
  • Joseon is mainly an agricultural country and its main source of national revenue is the farmland tax. Since the beginning of the Joseon dynasty, the assessment and taxation of agricultural land became one of the most important subjects in the national administration. Consequently, the measurement of fields, or the area of various plane figures and curved surfaces is a very much important topic for mathematical officials. Consequently Joseon mathematicians were concerned about the volumes of solids more for those of granaries than those of earthworks. The area and volume together with surveying have been main geometrical subjects in Joseon mathematics as well. In this paper we discuss the history of volumes of solids in Joseon mathematics and the influences of Chinese mathematics on the subject.

Chosun Mathematics in the early 18th century (18세기(世紀) 초(初) 조선(朝鮮) 산학(算學))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.25 no.2
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    • pp.1-9
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    • 2012
  • After disastrous foreign invasions in 1592 and 1636, Chosun lost most of the traditional mathematical works and needed to revive its mathematics. The new calendar system, ShiXianLi(時憲曆, 1645), was brought into Chosun in the same year. In order to understand the system, Chosun imported books related to western mathematics. For the traditional mathematics, Kim Si Jin(金始振, 1618-1667) republished SuanXue QiMeng(算學啓蒙, 1299) in 1660. We discuss the works by two great mathematicians of early 18th century, Cho Tae Gu(趙泰耉, 1660-1723) and Hong Jung Ha(洪正夏, 1684-?) and then conclude that Cho's JuSeoGwanGyun(籌 書管見) and Hong's GuIlJib(九一集) became a real breakthrough for the second half of the history of Chosun mathematics.

Finite Series in Chosun Dynasty Mathematics (조선(朝鮮) 산학(算學)의 퇴타술)

  • Hong Sung-Sa
    • Journal for History of Mathematics
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    • v.19 no.2
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    • pp.1-24
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    • 2006
  • We study the theory of finite series in Chosun Dynasty Mathematics. We divide it into two parts by the publication of Lee Sang Hyuk(李尙爀, 1810-?)'s Ik San(翼算, 1868) and then investigate their history. The first part is examined by Gyung Sun Jing(慶善徵, 1616-?)'s Muk Sa Jib San Bub(默思集算法), Choi Suk Jung(崔錫鼎)'s Gu Su Ryak(九數略), Hong Jung Ha(洪正夏)'s Gu Il Jib(九一集), Cho Tae Gu(趙泰耉)'s Ju Su Gwan Gyun(籌書管見), Hwang Yun Suk(黃胤錫)'s San Hak Ib Mun(算學入門), Bae Sang Sul(裵相設)'s Su Gye Soe Rok and Nam Byung Gil(南秉吉), 1820-1869)'s San Hak Jung Ei(算學正義, 1867), and then conclude that the theory of finite series in the period is rather stable. Lee Sang Hyuk obtained the most creative results on the theory in his Ik San if not in whole mathematics in Chosun Dynasty. He introduced a new problem of truncated series(截積). By a new method, called the partition method(分積法), he completely solved the problem and further obtained the complete structure of finite series.

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A Study on Application of Mathematics History of Chosun Dynasty to a Quadratic Equation of Middle School (중학교 이차방정식 단원에서 조선시대(朝鮮時代) 수학사(數學史)의 활용에 대한 연구)

  • Shim, Sang-Kil
    • Journal for History of Mathematics
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    • v.22 no.2
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    • pp.117-130
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    • 2009
  • This study shows how to use effectively construction and solution of the quadratic equation developed by mathematicians such as Gyung Sun-jing, Hong Jung-ha, Hong Dae-yong, Lee Sang-hyuk, and Nam Byung-gil through mathematics history of Chosun Dynasty. Mathematics history of Chosun Dynasty can be used in order to enhance comprehension and increase interest in an introduction to the quadratic equation. It also can be used to help motivate middle school students to solve the quadratic equation with much interest during the development phase, and develope conceptual thinking and reflective thinking in the practical phase.

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Trends in Edge Computing Technology (엣지 컴퓨팅 기술 동향)

  • Hong, J.H.;Lee, K.C.;Lee, S.Y.
    • Electronics and Telecommunications Trends
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    • v.35 no.6
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    • pp.78-87
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    • 2020
  • With the evolution of the Internet of Things (IoT), a computing paradigm shift from cloud to edge computing is rapidly taking place to effectively manage the rapidly increasing volume of data generated by various IoT devices. Edge computing is computing that occurs at or near the physical location of a user or data source. Placing computing services closer to these locations allows users to benefit from faster and more reliable services, and enterprises can take advantage of the flexibility of hybrid cloud computing. This paper describes the concept and main benefits of edge computing and presents the trends and future prospects for edge computing technology.

한국어 피동형의 전산적 구현

  • 홍정하
    • Language and Information
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    • v.4 no.1
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    • pp.130-140
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    • 2000
  • 이 논문에서는 피동접사 '이, 히, 리, 기'와 결합하는 피동형과 관련된 형태·통사적 문제를 전산적 관점에서 다룬다. 전산처리에서 이러한 피동형의 형태적 문제는 다음과 같다. 첫째, 피동접사 '이, 히, 리, 기'와 결합할 수 있는 타동사 어간의 분포가 제한되어 있다. 둘째, 타동사 어간이 결합할 수 있는 피동접사는 고정접사는 고정되어 있다. 셋째, 피동형 중에 타동사 어간과 피동접사가 결합할 대 형태적으로 변화하는 것들이 있다. '나누다/나뉘다, 모으다/모이다, 잠그다/잠기다, 자르다/잘리다'등이 여기에 해당된다. 이러한 형태적 문제 외에도 전산처리에서 피동형과 관련된 통사적 문제는 다음과 같다. 첫째, 능동형의 타동사가 피동형이 되면서 논항구조도 함께 변화한다. 둘째, 피동문의 행동주가 문장에서 생략되는 경우가 종종 있다. '문제가 쉽게 풀리었다','소리가 잘 들린다'등이 이에 해당된다. 이 논문은 한국어 피동접사 '이, 히, 라, 기'와 결합하는 피동형의 형태·통사적 특징을 전산적으로 처리하는 것이 목적이다. 이를 위해 표상모형으로는 자질구조를, 구현도구로는 Malage를 사용한다.

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