• Proceedings of the Korean Operations and Management Science Society Conference
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• 2008.10a
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• pp.263-263
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• 2008

• The Journal of Natural Sciences
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• v.15 no.1
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• pp.1-10
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• 2005

Mathematics I music play very important roles in our society. In the time of the ancient Greeks, mathematics and music were strongly connected. This paper shows such connection between mathematics and music concludes that music has mathematical characteristics.

• The Pure and Applied Mathematics
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• v.22 no.2
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• pp.159-168
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• 2015

Abstract. We propose a fast and robust finite difference method for Merton's jump diffusion model, which is a partial integro-differential equation. To speed up a computational time, we compute a matrix so that we can calculate the non-local integral term fast by a simple matrix-vector operation. Also, we use non-uniform grids to increase efficiency. We present numerical experiments such as evaluation of the option prices and Greeks to demonstrate a performance of the proposed numerical method. The computational results are in good agreements with the exact solutions of the jump-diffusion model.

• Journal of the Korean Society of Costume
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• v.63 no.4
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• pp.84-100
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• 2013

Ancient Greece was a patriarchal society that distinguished gender roles between men and women. Although their costumes were composed of simple rectangular fabric without any technical complications in itself, the Greeks did try to express gender differences in their clothing. The final look of the Greek costume was dependent on the way the cloth draped onto its wearer as well as the wearer's identity. Greeks costume could just be seen as a rectangular fabric when it was not draped on a person's body. The purpose of this study is to examine how the gender differences were expressed in the ancient Greek drapery costume, which was made by using a completely different technical process, compared with the modern tailored costume. There are four elements of the costume that give the costume its formative shape, which are the wearer's body, the rectangular fabric (material as the first formative costume), the way the fabric is draped, and the final appearance as the second formative costume (the relationship between the wearer's body and the costume) and this study analyzes these elements individually. It is intended to analyze the gender characteristics and how each element appears in a different way from the perspective of Structuralism, an analytical method that considers a phenomenon as a total sum of the elements. Literature research was conducted and representative sculpture, painting and pottery, were used between the Archaic Period (B.C. 800~500) and the Classical Period (B.C. 500~323). The results show that the gender differences appear in each formative element of costume: First, the body was distinguished by the ancient Greek custom. The man's nudity was accepted while the woman's body was concealed. Second, in regards to the first formative costume, which was the rectangular fabric, men's were made with thick high quality wool because their involvement in outdoor activities meant that they needed clothes to stay warm, while the women wore clothes made of thin wool or hemp cloth, because their most of their activities were at home. Third, the way to drape the fabric shows the gender differences by changing the length of the clothing and its design ; men's short khiton was practical for big movement and at the same time the clothing exposed the man's body. The woman's doric khiton diversified its decoration by the size of the apotigma and by using the belt. Finally the second formative costume reflected the Greeks' social distinction between a man's body and a woman's body. The man's costume naturally exposed the man's body. On the other hand, the woman's long costume has a variety of shapes on the ground, that concealed her lower body, while the ornamental function was more accentuated than the man's costume. The gender differences expressed in Greek costume fundamentally reflected the point of view of the male and female body and their social roles in society.

• The Journal of Natural Sciences
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• v.16 no.1
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• pp.39-48
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• 2005

Many researchers consider the totality of Babylonian mathematics was profoundly elementary, but some of their mathematical knowledge achieved a novel comparable to the Greeks. The aim of this article is to provide a brief overview of the environmental and social background which made mathematical development. Historically, mathematics is always a product of society. So it is valuable to study historical background which have produced mathematics.

• The International Journal of Costume Culture
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• v.8 no.2
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• pp.71-84
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• 2005

Fibulae have been used as clothing fasteners throughout history. They were especially popular with the Celts, but were also used by the Greeks, Romans, Saxons, and Vikings, to name a few. The earliest examples are found in the Mediterranean and Middle East, and date from 800 B. C. and earlier. Their use continues today, in the form of the modern safety pin. The first fibulae of the Bronze Age were very simple, much like modern safety pins. The form of this small functional object varies from simple to extravagant since it is also seen as a piece of jewelry, and is thus subject to the evolution of style. Its size depends on the thick/Jess of the clothing to be attached. Its fabrication demonstrates a great mastery of metal work. Fibulae would vary with the taste and wealth of the wearer. The Fibulae were divided into 10 styles according to the shape, Fibulae with Safety pin shaped style, Penannular shaped style, Animal shaped style, Diamond shaped style, Radiated head shaped style, Horsefly shaped style, Arched bow shaped style, Fan-shaped style, Trumpet shaped style, Arched-fan shaped style.

• Journal for History of Mathematics
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• v.17 no.1
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• pp.33-42
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• 2004

In this paper, we identify the essential ideas of Fundamental Theorem of Arithmetic(FTA). Then, we compare these ideas with several theorems of Euclid's Elements to investigate whether the essential ideas of FTA are contained in Elements or not. From this, we have the following conclusion: Even though Elements doesn't contain FTA explicitly, it contains all of the essential ideas of FTA. Finally, we assert two reasons why Greeks couldn't mention FTA explicitly. First, they oriented geometrically, and so they understood the concept of 'divide' as 'metric'. So they might have difficulty to find the divisor of the given number and the divisor of the divisor continuously. Second, they have limit to use notation in Mathematics. So they couldn't represent the given composite number as multiplication of all of its prime divisors.

• Journal of National Security and Military Science
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• s.7
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• pp.129-154
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• 2009

The principles of military operations(principles of war) are the fundamental principles ruling warfighting that made based on the experiences of wars from the time of ancient Greeks to the World War II. Recent wars such as Iraq War showed us the change of environment of war and the style of waging a war. It is believed that future war will be executed with the style of Rapid Deceive Operations, Effect Based Operations, Network Centric Operations. Therefor the principles of war which we use should be reconsidered whether it is useful or not in future warfare. By considering the present principles of operation which are using in many countries and analysing the style of waging future war, we suggest new principles of operations : principle of gravity, principle of mass and dispersal, principle of disturbance, principle of speed, principle of paralysis, principle of synchronization and integration, principle of leadership, and principle of information.

• Asian review of World Histories
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• v.3 no.1
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• pp.11-35
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• 2015

Far from being a recent world, the concept of "a [one] world" did slowly emerged in a post-prehistoric Antiquity. The actual knowledge of the world increased through millennia leaving aside large continents (Americas, part of Africa, Australia, etc.-most areas without written history), and writing history in Antiquity cannot be a synchronal presentation of the most ancient times of these areas. Through a few case studies dealing with texts, archaeology and history itself mostly in BCE times, the paper will try to perceive the slow building-up of a physical awareness and 'moral' consciousness of the known world by people of the Middle East (e.g. the Bible, Gilgamesh) and the Mediterranean (mainly Greeks).

• The Bulletin of The Korean Astronomical Society
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• v.37 no.2
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• pp.95-95
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• 2012

Constellations are formed of bright stars which appear close to each other on the sky, but are really far apart in space. The shapes you see all depend on your point of view. Back before people had televisions and electricity to light their homes at night, they spent a lot more time looking at the stars. People all over the world used their imaginations to draw pictures in the sky, as if it were a giant connect-the-dot game. The patterns they imagined are called constellations. People usually saw patterns that reflected their different cultures. Native Americans in North America imagined many animals and shapes from the natural world. The ancient Greeks found images of gods and goddesses in the stars. Sometimes people from very different parts of the world even imagined the same animal or shape in the same stars. Most of the constellations we recognize today were made up by the ancient Greeks around 6,000 years ago. Different constellations are visible at different times of year, so the first appearance of these patterns told farmers of the changing seasons and reminded them to plant or harvest their crops. The constellations also help us to find our way around the night sky and to remember which stars are which. The star names we use today are mostly from Greek and Arabic, but many are changed a bit from the original, as often happens when words are passed from one language to another. It can be difficult to picture just what those folks long ago were seeing in the stars, so don't be discouraged if you have trouble seeing their patterns. You can even make up your own! In ancient world all the countries or regions had their own way to name things up in the sky, make up stories and draw different shapes for constellations. Today there are 88 official constellations, but you may find that different books show their stars connected in slightly different ways. The official constellations are specific regions of the sky, so the exact patterns are not all that important. However in various cultures there are some famous star patterns that use stars from only apart of a constellation, or even connect stars from different constellations. These patterns of stars that are not official constellations are called asterisms. The Big Dipper is a very famous asterism, found in the constellation Ursa Major, or Great Bear.