• Title/Summary/Keyword: Mathematical History

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The Status of Scientiae Mediae in the History of Mathematics: Biancani's Case

  • Park, Woo-Suk
    • Korean Journal of Logic
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    • v.12 no.2
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    • pp.141-170
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    • 2009
  • We can witness the recent surge of interest in the controversy over the scientific status of mathematics among Jesuit Aristotelians around 1600. Following the lead of Wallace, Dear, and Mancosu, I propose to look into this controversy in more detail. For this purpose, I shall focus on Biancani's discussion of scientiae mediae in his dissertation on the nature of mathematics. From Dear's and Wallace's discussions, we can gather a relatively nice overview of the debate between those who championed the scientific status of mathematics and those who denied it. But it is one thing to fathom the general motivation of the disputation, quite another to appreciate the subtleties of dialectical strategies and tactics involved in it. It is exactly at this stage when we have to face some difficulties in understanding the point of Biancani's views on scientiae mediae. Though silent on the problem of scientiae mediae, Mancosu's discussions of the Jesuit Aristotelians' views on potissima demonstrations, mathematical explanations, and the problem of cause are of utmost importance in this regard, both historically and philosophically. I will carefully examine and criticize some of Mancosu's interpretations of Piccolomini's and Biancani's views in order to approach more closely what was really at stake in the controversy.

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Multicultural education shown in elementary school mathematics textbook based on 2015 revised curriculum (2015 개정 교육과정을 반영한 초등학교 1, 2학년 수학교과서에 나타난 다문화 교육)

  • Cho, SooYun
    • Education of Primary School Mathematics
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    • v.21 no.1
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    • pp.19-37
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    • 2018
  • The purpose of this study was to analyze the multicultural mathematics education factor shown in mathematics textbook. For this purpose, 2015 revised curriculum, mathematics textbook and teacher's guide book of first and second grade were analyzed using framework for multicultural mathematics education factor. The results of this study revealed that the general guideline of the national curriculum included 'culture identity', 'diversity of knowledge' and 'social problem solving' but the curriculum of mathematics excluded 'culture identity'. Nevertheless, mathematics textbook showed various multicultural mathematics education factor except 'social problem solving'. But there are several kinds of problem. Fist, application level of multicultural mathematics education factor was mostly low. Second, history of mathematics and culture aspects were Europocentric. Thirds, characters in mathematics text book were excessively standard. there weren't other ethnicity, the disabled, multicultural students. On the basis of these results, this paper includes several implications for the future multicultural mathematics education in elementary school.

A Study on Making Jisuguimundo as a Problem Solving Task for Elementary Students (초등학생을 위한 문제해결 과제로서의 지수귀문도의 해결 방안 연구)

  • Park, Kyo-Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.77-93
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    • 2011
  • Jisuguimundo(地數龜文圖) is a magic hexagon created by Suk-Jung Choi in his book about three hundreds years ago in Korea. Recently attention is focused on jisuguimundo, and it is known that jisuguimundos exist when magic number is from 77 to 108, however a general method making jisuguimundos is not known so far. Up to now, methods of making jisuguimundos using computers are known. In this study, a method making jisuguimundos is suggested using pairs of two numbers with sum p and q ($p{\neq}q$) alternately when magic number is from 88 to 92, and from 94 to 98, without using computer in elementary math class as a task for problem solving. Mathematical theory is introduced for this method, and jisuguimundos are presented which are found out through this method. Elementary students are expected to make their own jisuguimundo using this method.

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Earthquake Response of Mid-rise to High-rise Buildings with Friction Dampers

  • Kaur, Naveet;Matsagar, V.A.;Nagpal, A.K.
    • International Journal of High-Rise Buildings
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    • v.1 no.4
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    • pp.311-332
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    • 2012
  • Earthquake response of mid-rise to high-rise buildings provided with friction dampers is investigated. The steel buildings are modelled as shear-type structures and the investigation involved modelling of the structures of varying heights ranging from five storeys to twenty storeys, in steps of five storeys, subjected to real earthquake ground motions. Three basic types of structures considered in the study are: moment resisting frame (MRF), braced frame (BF), and friction damper frame (FDF). Mathematical modelling of the friction dampers involved simulation of the two distinct phases namely, the stick phase and the slip phase. Dynamic time history analyses are carried out to study the variation of the top floor acceleration, top floor displacement, storey shear, and base-shear. Further, energy plots are obtained to investigate the energy dissipation by the friction dampers. It is seen that substantial earthquake response reduction is achieved with the provision of the friction dampers in the mid-rise and high-rise buildings. The provision of the friction dampers always reduces the base-shear. It is also seen from the fast Fourier transform (FFT) of the top floor acceleration that there is substantial reduction in the peak response; however, the higher frequency content in the response has increased. For the structures considered, the top floor displacements are lesser in the FDF than in the MRF; however, the top floor displacements are marginally larger in the FDF than in the BF.

Predictive score of uncomplicated falciparum malaria patients turning to severe malaria

  • Tangpukdee, Noppadon;Krudsood, Srivicha;Thanachartwet, Vipa;Duangdee, Chatnapa;Paksala, Siriphan;Chonsawat, Putza;Srivilairit, Siripan;Looareesuwan, Sornchai;Wilairatana, Polrat
    • Parasites, Hosts and Diseases
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    • v.45 no.4
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    • pp.273-282
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    • 2007
  • In acute uncomplicated falciparum malaria, there is a continuum from mild to severe malaria. However, no mathematical system is available to predict uncomplicated falciparum malaria patients turning to severe malaria. This study aimed to devise a simple and reliable model of Malaria Severity Prognostic Score (MSPS). The study was performed in adult patients with acute uncomplicated falciparum malaria admitted to the Bangkok Hospital for Tropical Diseases between 2000 and 2005. Total 38 initial clinical parameters were identified to predict the usual recovery or deterioration to severe malaria. The stepwise multiple discriminant analysis was performed to get a linear discriminant equation. The results showed that 4.3% of study patients turned to severe malaria. The MSPS = 4.38 (schizontemia) + 1.62 (gametocytemia) + 1.17 (dehydration) + 0.14 (overweight by body mass index; BMI) + 0.05 (initial pulse rate) + 0.04 (duration of fever before admission)-0.50 (past history of malaria in last 1 year). 0.48 (initial serum albumin)-5.66. Based on the validation study in other malaria patients, the sensitivity and specificity were 88.8% and 88.4%, respectively. We conclude that the MSPS is a simple screening tool for predicting uncomplicated falciparum malaria patients turning to severe malaria. However, the MSPS may need revalidation indifferent geographical areas before utilized at specific places.

Seismic pounding effects on the adjacent symmetric buildings with eccentric alignment

  • Abdel Raheem, Shehata E.;Fooly, Mohamed Y.M.;Omar, Mohamed;Abdel Zaher, Ahmed K.
    • Earthquakes and Structures
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    • v.16 no.6
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    • pp.715-726
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    • 2019
  • Several municipal seismic vulnerability investigations have been identified pounding of adjacent structures as one of the main hazards due to the constrained separation distance between adjacent buildings. Consequently, an assessment of the seismic pounding risk of buildings is superficial in future adjustment of design code provisions for buildings. The seismic lateral oscillation of adjacent buildings with eccentric alignment is partly restrained, and therefore a torsional response demand is induced in the building under earthquake excitation due to eccentric pounding. In this paper, the influence of the eccentric seismic pounding on the design demands for adjacent symmetric buildings with eccentric alignment is presented. A mathematical simulation is formulated to evaluate the eccentric pounding effects on the seismic design demands of adjacent buildings, where the seismic response analysis of adjacent buildings in series during collisions is investigated for various design parameters that include number of stories; in-plan alignment configurations, and then compared with that for no-pounding case. According to the herein outcomes, the effects of seismic pounding severity is mainly depending on characteristics of vibrations of the adjacent buildings and on the characteristics of input ground motions as well. The position of the building wherever exterior or interior alignment also, influences the seismic pounding severity as the effect of exposed direction from one or two sides. The response of acceleration and the shear force demands appear to be greater in case of adjacent buildings as seismic pounding at different levels of stories, than that in case of no-pounding buildings. The results confirm that torsional oscillations due to eccentric pounding play a significant role in the overall pounding-involved response of symmetric buildings under earthquake excitation due to horizontal eccentric alignment.

Hazelcast Vs. Ignite: Opportunities for Java Programmers

  • Maxim, Bartkov;Tetiana, Katkova;S., Kruglyk Vladyslav;G., Murtaziev Ernest;V., Kotova Olha
    • International Journal of Computer Science & Network Security
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    • v.22 no.2
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    • pp.406-412
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    • 2022
  • Storing large amounts of data has always been a big problem from the beginning of computing history. Big Data has made huge advancements in improving business processes by finding the customers' needs using prediction models based on web and social media search. The main purpose of big data stream processing frameworks is to allow programmers to directly query the continuous stream without dealing with the lower-level mechanisms. In other words, programmers write the code to process streams using these runtime libraries (also called Stream Processing Engines). This is achieved by taking large volumes of data and analyzing them using Big Data frameworks. Streaming platforms are an emerging technology that deals with continuous streams of data. There are several streaming platforms of Big Data freely available on the Internet. However, selecting the most appropriate one is not easy for programmers. In this paper, we present a detailed description of two of the state-of-the-art and most popular streaming frameworks: Apache Ignite and Hazelcast. In addition, the performance of these frameworks is compared using selected attributes. Different types of databases are used in common to store the data. To process the data in real-time continuously, data streaming technologies are developed. With the development of today's large-scale distributed applications handling tons of data, these databases are not viable. Consequently, Big Data is introduced to store, process, and analyze data at a fast speed and also to deal with big users and data growth day by day.

The Horizon Run 5 Cosmological Hydrodynamical Simulation: Probing Galaxy Formation from Kilo- to Giga-parsec Scales

  • Lee, Jaehyun;Shin, Jihey;Snaith, Owain N.;Kim, Yonghwi;Few, C. Gareth;Devriendt, Julien;Dubois, Yohan;Cox, Leah M.;Hong, Sungwook E.;Kwon, Oh-Kyoung;Park, Chan;Pichon, Christophe;Kim, Juhan;Gibson, Brad K.;Park, Changbom
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.38.2-38.2
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    • 2020
  • Horizon Run 5 (HR5) is a cosmological hydrodynamical simulation which captures the properties of the Universe on a Gpc scale while achieving a resolution of 1 kpc. This enormous dynamic range allows us to simultaneously capture the physics of the cosmic web on very large scales and account for the formation and evolution of dwarf galaxies on much smaller scales. Inside the simulation box. we zoom-in on a high-resolution cuboid region with a volume of 1049 × 114 × 114 Mpc3. The subgrid physics chosen to model galaxy formation includes radiative heating/cooling, reionization, star formation, supernova feedback, chemical evolution tracking the enrichment of oxygen and iron, the growth of supermassive black holes and feedback from active galactic nuclei (AGN) in the form of a dual jet-heating mode. For this simulation we implemented a hybrid MPI-OpenMP version of the RAMSES code, specifically targeted for modern many-core many thread parallel architectures. For the post-processing, we extended the Friends-of-Friend (FoF) algorithm and developed a new galaxy finder to analyse the large outputs of HR5. The simulation successfully reproduces many observations, such as the cosmic star formation history, connectivity of galaxy distribution and stellar mass functions. The simulation also indicates that hydrodynamical effects on small scales impact galaxy clustering up to very large scales near and beyond the baryonic acoustic oscillation (BAO) scale. Hence, caution should be taken when using that scale as a cosmic standard ruler: one needs to carefully understand the corresponding biases. The simulation is expected to be an invaluable asset for the interpretation of upcoming deep surveys of the Universe.

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Trends and Tasks in Research on Didactic Transposition in Mathematics Education (교수학적 변환 연구의 동향과 과제)

  • Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.26 no.2
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    • pp.173-188
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    • 2016
  • Research on didactic transposition in mathematics education has about 25-year and about 35-year long history in and out of Korea, respectively. This study attempts to investigate in trends of those research and to suggest tasks needed to be tackled. Major findings are followed. First, studies done in Korea tended to focus on the application of the didactic transposition theory for proving its effectiveness in understanding mathematics textbooks and mathematics lessons in-depth. It is suggested to conduct meta-analysis of the accumulated results or analysis of further applications of the didactic transposition theory to improve theoretical aspects of didactic transposition. Second, new categories for extreme teaching phenomenon were found and new typology in knowledge to be considered in the didactic transposition was developed in a few studies done in other subject matter education. Application of these to mathematics education may enhance research in didactic transposition of mathematical knowledge. Third, praxeology or a complex of praxeology for Korean school mathematics should be explored as did in other countries. Fourth, there have been rich attempts to link perspectives in didactic transposition to other perspectives or fields such as anthropology, human and education in technology era, praxeology theory in economics, epistemology in other countries but not in Korea. It is suggested to extend the scope of discussion on didactic transposition and to relate various concepts given in other disciplines. Fifth, clarification or negotiation of meaning for the main terms used in the discussion on didactic transposition such as personalization, contextualization, depersonalization, decontextualization, Topaze Effect, Meta-Cognitive Shift is suggested by comparing researchers' various descriptions or uses of the terms.

A Study on the Changes of Mathematical Textbooks System in Korean Elementary Schools - Focusing on textbooks after the 7th curriculum- (한국 초등학교의 수학 교과서 체제 변천에 관한 연구 -7차 교육과정 이후 교과서를 중심으로-)

  • Choi, Hye Ryung;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.1
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    • pp.109-128
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    • 2020
  • South Korea places the core of public education in school education, and textbooks are compiled based on curriculum announced by the Education Ministry. Therefore, the compilation of high-quality textbooks is very important and requires more than just revising the curriculum. Korea had been working on developing textbooks several times, but it has been evaluated as a uniform textbook in terms of external system and editing design compared to advanced foreign textbooks. This can be said to be the result of the based to only the textbook's internal system, which should be dealt with in the textbook when compiling the textbook. The textbooks which were developed at seventh curriculum were made remarkable changes in the history of South Korea textbooks. In this study, we want to examine the nation's state-authored textbooks, from the seventh textbook to the current textbook in 2015 by order of magnitude and to give a careful look at what aspects of the changes are being made. To this end, the composition of textbooks is analyzed by dividing them into external and internal systems. The external system of textbooks focuses on changes in plate form, shape, lipid, color, and illustration, while the internal system focuses on changes in the composition system of the unit, the composition system of the contents by lesson, and the style of question. As a result, we led to a significant conclusion on the changes in textbooks.