• 제목/요약/키워드: Character formula

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MEAN VALUES OF THE HOMOGENEOUS DEDEKIND SUMS

  • WANG, XIAOYING;YUE, XIAXIA
    • Korean Journal of Mathematics
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    • 제23권4호
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    • pp.571-590
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    • 2015
  • Let a, b, q be integers with q > 0. The homogeneous Dedekind sum is dened by $$\Large S(a,b,q)={\sum_{r=1}^{q}}\(\({\frac{ar}{q}}\)\)\(\({\frac{br}{q}}\)\)$$, where $$\Large ((x))=\{x-[x]-{\frac{1}{2}},\text{ if x is not an integer},\\0,\hspace{75}\text{ if x is an integer.}$$ In this paper we study the mean value of S(a, b, q) by using mean value theorems of Dirichlet L-functions, and give some asymptotic formula.

매설 환경에 따른 파형강 구조물의 부식 특성 연구 (A Study on the Corrosion of Corrugated Steel Structures in Buried Environment)

  • 박연수;김병하;한상호;박선준;서병철
    • 한국구조물진단유지관리공학회 논문집
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    • 제7권1호
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    • pp.147-156
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    • 2003
  • In this research, multiple corrosion factors of buried environments were measured in order to establish a formula for the corrosion character of corrugated steel structures in domestic environments. By substituting corrosion factors for each predicting formula, the durable lifetime was measured, and the measured lifetime was compared with the estimated lifetime by applying existing thickness-measuring techniques. A new usage standard was proposed with these results, in order to create the conclusion below. There are known differences in the soil factors used as variables in estimating the duration caused by the seasonal effects of rainfall and temperature. Comparing the durable lifetime estimated by each predicting formula, the findings show that the California technique is conservative. This study demonstrates that the error range of the AISI technique, which is mostly used as a duration technique, is a very narrow predicting technique as compared with many other countries. Considering that there is on average, a 13% error margin in this study, a proposed safety factor of 0.87 could be used to more accurately predict the duration. The laying time in the California technique is not longer than the whole durability, and as a result, this error margin exists. It is concluded that this study on the open area has been overdue. Based on these findings, it's proposed that this error margin should be applied to the domestic environment through periodic observation, in order to establish the predicting techniques of durable lifetime.

온도특성을 고려한 공항 저압간선의 경제적인 설계기법에 관한 연구 (A Study on the Economical Design of Airport Low-Voltage Feeder Which is considering the Temperature Character)

  • 최홍규;조계술;송영주
    • 조명전기설비학회논문지
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    • 제17권3호
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    • pp.119-126
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    • 2003
  • 공항과 같이 간선이 길게 포설될 수 있는 장소의 저압간선 굵기는 해당 케이블의 허용전류와 전력계통의 전압강하를 고려하며 결정된다. 비록 도체의 허용전류 값이 부하의 허용전류 값에 비하여 여유가 있을지라도 계통의 허용전압강하를 고려할 경우 도체의 굵기는 비교적 크게 산정될 수 있다. 이러한 경우에, 도체의 허용전류 값은 부하의 최대전류 값보다 훨씬 크게 산정될 수 있으며 상대적으로 도체에서 발생되는 열은 감소하게 된다. 도체의 최대 허용온도에 보정된 도체의 교류저항 값이 저압간선의 굵기 산정을 위한 전압강하 계산공식에 적용되어 왔으며, 도체의 저항 값은 도체의 실제 온도상승 값이 적용된 저항 값에 비하여 크다 본 연구는 도체의 실제 온도상승 값이 보정된 도체의 저항 값을 적용하여 저압간선 굵기 선정 설계 실무에 적용할 수 있도록 일반적인 계산 방식에 비하여 오차가 적은 경제적인 설계 방식을 연구하였다.

한국산 망둥어 과 어류의 척주와 담기골에 관한 연구 (Study of Vertebral Column and Pterygiophores in Gobiidae (Pisces, Perciformes) from Korea)

  • Lee, yong-Joo
    • Animal Systematics, Evolution and Diversity
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    • 제9권1호
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    • pp.25-34
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    • 1993
  • 1984년 4월부터 1992년 10월가지 국내에서 채집된 망둑어과 어류 4아과 26속 45종의 총 348개체를 대상으로 제1등지느러미 담기골의 배열식, 척추골수, 상미축골수 및 제 1혈관극 전방의 뒷지느러미 담기골수를 조사하여 비교하였다. 제1등지느러미 담기골의 배열식과 상미축골수는 속의 특징을 잘 나타내주었으며, 척추골수와 제1혈관극 전방의 뒷지느러미 담기골수는 종에 따라 고유한 특징을 보여주었다. 이중 이전에 망둑어 과의 아과를 구분하는 특징으로 사용되어진 상미축골수는 망둑어 아과의 분류에서는 적합하지 않았다.

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GIS를 이용한 진동환경 관리시스템 개발 (Development of The Vibration Management System Using GIS)

  • 허영;구용우;김진구
    • 소음진동
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    • 제7권3호
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    • pp.369-376
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    • 1997
  • With recent progress of developing infrastructure, construction vibration from the sites and traffic vibration caused by high-speed rail, subway, and roads is becoming a hazardous factor for vibration environment. In order to predict the damages caused by the vibrations mentioned above the vibration sources, have to be distinguished between point vibration and line vibration. Once the character of the vibration source is determined vibration propagation phenomenon needs to be analyzed by using prediction formula, and compared to the limits authorized by the law. The main purpose of this thesis is to manage the efficient vibration by reflecting these finding in making a consrtuction plan. Therefore, Vibration Management System (VMS) was developed which can predict and analyze the extent of developed utilizing Geographic Information System (GIS) to build a database. This database contains the attribute and the location information of the sources for predicting the formula of explosive vibration and subway traffic vibration, the buildings, the surrounding area and measurement sites. VMS will be useful in the future for predicting the vibrations caused by pile drive, traffic vibrations such as high speed electric railway, highway and roads, and other explosive vibrations by supplementing and updating the database.

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2종 천남성(天南星)의 외부(外部) 및 내부형태(內部形態)에 대한 연구 (The external and internal morphological standard of original plants and herbal states in 2 kinds of Arisaematis Rhizoma)

  • 강준혁;윤주봉;주영승
    • 대한한의학방제학회지
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    • 제11권2호
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    • pp.213-232
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    • 2003
  • Objectives : This study was designed to establish a characteristic discrimination of internal and external morphological standard of original plants and herbal states in Arisaema amurense var. serratum $N_{AKAI}$ and A. amurense $M_{AXIM}.$. Methods : In this studies, the external-internal morphological standards were determined by using stereoscope and butanol series. Results : 1. In the external shape of original plant, Arisaema amurense var. serratum $N_{AKAI}$ has high stem, an oval-elliptic leaflet and a serrate leaf margin. But A. amurense $M_{AXIM}$ has a relatively low stem, an upside oval leaflet and no serrate leaf margin. 2. On the herbs character of original plant, Arisaema amurense var. serratum $N_{AKAI}$ is small in height and diameter, but A. amurense $M_{AXIM}$ is relatively large in height and diameter. 3. On the gathered herbs character of original plant, the section of Arisaema amurense var. serratum $N_{AKAI}$ is brightly white, easily spilt and strong scent. But the section of A. amurense $M_{AXIM}$ is thin yellowish brown, not easily spilt and weak scent. Also the grade of gathered herbs, both can be classified by diameter and external scent. 4. In the current herbs character, Korean and Sichuan Province products are irregullar shape and have no scent, Jilin Province products are regular shape. Also, Guangxi Province products are small size and concave in one side, Hebei Province products are irregular size and shape. 5. In internal shape of original plant, epidermal cell of Arisaema amurense var. serratum is very tight. With the except of micro difference in parenchyma cell of cortex, on the whole there are nearly no differences with A. amurense $M_{AXIM}.$ Also, samely in the internal shape, according to collecting sites, epidermis exhibits a lot layer in curving state and secreting duct is developed and vascular bundle and exists between parenchyma cell of cortex. Conclusion : In the future, additional study is needed to distinguish herb and effect between same genus-degree of relatedness.

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제도법 개선을 위한 저고리 깃 구성의 재고찰 (- The Review of the Collar Consideration of G go-ri to Improve Drafting Method -)

  • 정옥임
    • 대한가정학회지
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    • 제34권4호
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    • pp.249-263
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    • 1996
  • According to the design method for constructing the G gori(the traditional Korean jacket)collar, there are differences in form after its completion. In the construction design of the midsection of the gusset as in that of the basic G gori, not only was the positioning of the two sides of the collar not smooth, but also, when the collar strip was attached, there would be an imbalance on one side or the other so that it was difficult to achieve symetry. Therefore in this project, by applying the pattern design of the gusset midsection to that of the collar midsection, not only did attaching the collar and the collar strip create a visual effect by equalizing the lengths of the tow sides, but the construction was also easy. This method of construction introduces the three-dimensional aspect of the human form in its conic, spherical and cylindrical aspects, so that, through schematizing the scientific character of Korea's clothing, its appropriateness is verified. As a matter of fact, since th-ere in no standardization of pattern whether for educational use or for mass-produced clothing, so that even the patterns used in computer-assisted design are executed according to the designer's personal skill, the reality is that after completion of construction the quality has not been uniform. For this schematization, inverse calculation of measurements pertaining to the calculation formula and of teaching materials has been referenced. In particular, the partial requlation of the calculation formula pertaining to the basic pattern construction, the method of making the collar midsection, and the construction method of the extreme and mean ratio adjustment can be adjusted for all measurements, thereby providing the establishment of a design criterion and the possibility of the standardization of construction methods. The production method for the pattern design is as follows: 1) The conic angle for the G gori's girth, length and neck width is fixed at 70 degrees. 2) The radius of the cone is B/2. 3) The calculation formula is B/4 + 1.5cm 4) The armhole formula is B/4, the same as in the basic method. 5) The width formula is B/10. 6) The ratio of the collar junction(width of collar + width of collar strip)to the gusset length is 5:8. 7) The length of the side seam is a length intersecting the armhole line and the conic radius (B/2), that is an arc that exceeds the length of the G gori's midsection; the component ratio of this length to the collar junction is accordingly 13:5. 8) The curve frame length of the back midsection is an arc exceeding B/4(the armhole line). 9) The ratio of the sleeve opening calculation formula to the armhole length is 8:5, forming an arc with the midsection length.

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Development of newly multifunction cosmetic raw materials and its applications

  • Takashi Ohmori;Yoshiko Yamamura;Eijiro Hara;Kinya Hosokawa;Maruyama, Kei-ichi;Tohru Okamoto;Hiroyuki Kakoki
    • 대한화장품학회:학술대회논문집
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    • 대한화장품학회 2003년도 IFSCC Conference Proceeding Book II
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    • pp.149-162
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    • 2003
  • Moisturizing the skin is one of the most important functions of skincare cosmetics, because water plays a significant role in keeping the skin healthy. There are various humectants including polyol (glycerin and 1,3-butylene glycol), water-soluble polymers, and botanical extracts. It is well known that the increased amount of polyol in lotion for obtaining high moisturizing effect gives a sticky feeling to the skin. Therefore, a few humectants that can give high moisturizing effect without a sticky feeling for lotion formula is available. On the other hand, oil-based lipstick is well known to have a difficulty to contain a large amount of hydrophilic humectants, because the humectants is unable to be mixed well into oil-based lipsticks and give the lips a peculiar taste. There are newly developed humectants, polyoxyethylene/polyoxypropylene dimethyl ether (EPDME) that can solve these problems describable above. EPDME is a random copolymer of ethylene oxide and propylene oxide. EPDME gives a low sticky feeling with a high moisturizing effect when it is used in lotion. As a remarkable character, EPDME can show not only a preventing effect on rough and dry skin, but also a improving effect upon the use for 1-4 weeks. EPDME can show a synergistic effect with glycerin on preventing to rough and dry skin. Since EPDME can be dissolved in oil-based formulation and used as an ingredient of lipsticks, EPDME can give a moisturizing effect that allows lip to be healthy condition. EPDME can also give no peculiar taste even upon the use of a large amount. EPDME is a useful cosmetic ingredient that can show a good skin care effect in both water-based formula and oil-based formula. EPDME of which polarity can be controllable is expected to be used for various cosmetic applications in near future.

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남자저고리 원형제도법 개발을 위한 연구(2) -깃구성을 중심으로- (A Study on the Basic Pattern Drafting Method Development of Men's J$\breve{o}$-go-ri -Collar Construction (2)-)

  • 정옥임
    • 대한가정학회지
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    • 제37권7호
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    • pp.17-27
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    • 1999
  • According to the design method for constructing the Korean Men's Jo-go-ri(the traditional Korean jacket)collar, there are differences in form after its completion. In the construction design of the midsection of the gusset as in that of the basic pattern Jo-go-ri, not only was the positioning of the two sides of the collar not smooth, but also, when the collar strip(Dongjung) was attached, there would be an imbalance on one side or the other so that it was difficult to achieve symmetry. Therefore in this project, by applying the pattern design of the gusset midsection to that of the collar midsection, not only did attaching the collar(Kit) and the collar strip create a visual effect by equalizing the lengths of the two sides, but the construction was also easy. This method of construction introduces the three-dimensional aspect of the human form in its conic, spherical and cylindrical aspects, so that, through schematizing the scientific character of Korea's clothing, its appropriateness is verified. As a matter of fact, since there is no standardization of pattern whether for educational use or for mass-produced clothing, so that even the patterns used in computer-assisted design are executed according to the designer's personal skill, the reality is that after completion of construction the quality has not been uniform. For this schematization, inverse calculation of measurements pertaining to the calculation formula and of teaching materials has been referenced. In particular, the partial regulation of the calculation formula pertaining to the basic pattern construction, the method of making the collar midsection, and the construction method of the extreme and mean ratio adjustment, can be adjusted for all measurements, thereby providing the establishment of a design criterion and the possibility of the standardization of construction methods. The production method for the basic pattern design is as follows: 1) The conic angle for the Jo-go-ri's girth, length end neck width is fixed at 70(72) degree. 2) The radius of the cone is sleeve length. 3) The bust girth calculation formula is B/4 + 2.5 cm. 4) The armhole formula is B/4 + 2.5cm. 5) The neck width formula is B/10. 6) The ratio of the collar junction{width of collar(Kit) + width of collar strip(Dongjung) to the gusset length is 5:8. 7) The length of the side seam is a length intersecting the armhole line and the conic radius of sleeve length, that is an arc that exceeds the length of the Jo-go-ri's midsection.

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A decoupling FEM for simulating near-field wave motion in two-phase media

  • Chen, S.L.;Liao, Z.P.;Chen, J.
    • Structural Engineering and Mechanics
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    • 제25권2호
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    • pp.181-200
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    • 2007
  • A decoupling technique for simulating near-field wave motions in two-phase media is introduced in this paper. First, an equivalent but direct weighted residual method is presented in this paper to solve boundary value problems more explicitly. We applied the Green's theorem for integration by parts on the equivalent integral statement of the field governing equations and then introduced the Neumann conditions directly. Using this method and considering the precision requirement in wave motion simulation, a lumped-mass FEM for two-phase media with clear physical concepts and convenient implementation is derived. Then, considering the innate attenuation character of the wave in two-phase media, an attenuation parameter is introduced into Liao's Multi-Transmitting Formula (MTF) to simulate the attenuating outgoing wave in two-phase media. At last, two numerical experiments are presented and the numerical results are compared with the analytical ones demonstrating that the lumped-mass FEM and the generalized MTF introduced in this paper have good precision.