• Title/Summary/Keyword: value gap

Search Result 1,039, Processing Time 0.024 seconds

SPLITTING TYPE, GLOBAL SECTIONS AND CHERN CLASSES FOR TORSION FREE SHEAVES ON PN

  • Bertone, Cristina;Roggero, Margherita
    • Journal of the Korean Mathematical Society
    • /
    • v.47 no.6
    • /
    • pp.1147-1165
    • /
    • 2010
  • In this paper we compare a torsion free sheaf F on $P^N$ and the free vector bundle $\oplus^n_{i=1}O_{P^N}(b_i)$ having same rank and splitting type. We show that the first one has always "less" global sections, while it has a higher second Chern class. In both cases bounds for the difference are found in terms of the maximal free subsheaves of F. As a consequence we obtain a direct, easy and more general proof of the "Horrocks' splitting criterion", also holding for torsion free sheaves, and lower bounds for the Chern classes $c_i$(F(t)) of twists of F, only depending on some numerical invariants of F. Especially, we prove for rank n torsion free sheaves on $P^N$, whose splitting type has no gap (i.e., $b_i{\geq}b_{i+1}{\geq}b_i-1$ 1 for every i = 1,$\ldots$,n-1), the following formula for the discriminant: $$\Delta(F):=2_{nc_2}-(n-1)c^2_1\geq-\frac{1}{12}n^2(n^2-1)$$. Finally in the case of rank n reflexive sheaves we obtain polynomial upper bounds for the absolute value of the higher Chern classes $c_3$(F(t)),$\ldots$,$c_n$(F(t)) for the dimension of the cohomology modules $H^iF(t)$ and for the Castelnuovo-Mumford regularity of F; these polynomial bounds only depend only on $c_1(F)$, $c_2(F)$, the splitting type of F and t.

Microwave Absorbing Characteristics of Epoxy Composites Containing Carbon Black and Carbon Fibers (카본블래랙과 탄소섬유를 포함하는 에폭시 복합체의 마이크로파 흡수 특성)

  • Lv, Xiao;Yang, Shenglin;Jin, Junhong;Zhang, Liang;Li, Guang;Jiang, Jianming
    • Polymer(Korea)
    • /
    • v.33 no.5
    • /
    • pp.420-428
    • /
    • 2009
  • In this study, the composites containing carbon black (CB) or carbon fibers were prepared, and the microwave absorbing properties and the absorption mechanism of them were investigated and discussed in the frequency range of 2-18 GHz, respectively. The optimum mass fraction of CB has been found as 6%, and the carbon fibers were discovered to absorb radar wave either under parallel or vertical polarization, the suitable gap distance between each bundle of which was 5 mm. According to the results of the single constitute absorber samples, the structured composites with the two kinds of absorbers combination were fabricated and studied at 2-18 GHz. The top layer absorbers affect the absorption performance a lot; the maximum reflection loss of composites with CB as top layer absorbers was -31.8 dB with the frequency range of 2.4 GHz below -10 dB, and the other type with CFs as the top layer absorbers obtained the reflection loss peak value of -31.4 dB with 2 GHz below-10 dB.

Aesthetic Concept of Play and Architecture of Alvar Aalto (미학적 놀이 개념과 알바 알토의 건축)

  • Kim, Hyon-Sob
    • Journal of architectural history
    • /
    • v.19 no.2
    • /
    • pp.67-83
    • /
    • 2010
  • The purpose of this research is to rethink Alvar Aalto's architecture on the basis of the aesthetic concept of play. This attempt is valid because he had asserted the importance of play in his design. But more fundamentally, his critical view of the instrumentalised rationalism implied the idea that a human being is "Man the Player" as well as "Man the Thinker", of which theory was elaborated in Johan Huizinga's Homo Ludens (1938). Premised on it, this paper investigated the evolution of the play idea in aesthetics and located Aalto's concept within the map. Summing up, his play was an intuitively grasped desire opposed to a rational requirement, which leads to a dialectical synthesis. This schema is similar to that of Schiller, in which Spiel reconciles the reason and the sense. However, Aalto's play could be differentiated into the "astonishingly rational" and "a jest", each of which roughly corresponds to the Spieltrieb (play impulse) and the sinnliche Trieb (sensuous impulse) in Schiller's thinking. On the other hand, Aalto's architecture illustrates play that could be interpreted as the overflow of surplus energy. This play is the very concept that can bridge the gap in the form-function formula of modern architecture. Aalto's play idea seemed to basically originate from his personality but its value must be confirmed by the Finnish litterateur Yrjo Hirn as Aalto mentioned in his statements (1953 & 1972). It appears that Aalto's play concept was materialised in architecture through his typical design language, such as the undulating wall, the aperspective space, the imitation of nature and the collage of heterogenous elements. However, we should be careful not to reductively analyse the application of play in practise. As Huizinga's comprehensive theory suggests, the play element exists in any cultural areas including any architectural activities. In conclusion, this paper argues that Alvar Aalto the Homo Ludens presented the possibility of critical rationalism in modern architecture by imbuing dry modernism with "the life enhancing charm" of "the art of play".

A qualitative study on women's daily lives and smartphone use -focusing on interviews with Chinese women in their twenties (여성의 일상생활과 스마트폰 이용에 관한 질적 연구 -20대 중국여성에 대한 심층인터뷰를 중심으로)

  • Zhang, Loushuangshuang;Na, Misu
    • Journal of Digital Convergence
    • /
    • v.15 no.10
    • /
    • pp.467-483
    • /
    • 2017
  • The purpose of this study was to explore the role and meaning of smartphone in the context of daily life. This research focuses on the woman in twenties living in Hangzhou, China. As a result of research, smartphones affected the various parts of female users' daily lives such as consumption habits, ways of spending their times and ways of information gathering and communication. Nevertheless gender gap in smartphone use was much smaller than before in the quantitative aspect, women's use of smartphone in qualitative aspect such as the way of use and choice of contents showed previous gender role and gender value in society. Also, the results of the research, based on the case of China which emerges as a new IT powerhouse, have a significant implication for smartphone use in Korea.

Comparative analysis of the clinical techniques used in evaluation of marginal accuracy of cast restoration using stereomicroscopy as gold standard

  • Rastogi, Abhishek;Kamble, Vikas
    • The Journal of Advanced Prosthodontics
    • /
    • v.3 no.2
    • /
    • pp.69-75
    • /
    • 2011
  • This study assessed the effect of preparation design on marginal adaptation and also compared the sensitivity and specificity of clinical evaluation techniques for marginal accuracy of cast restorations to stereomicroscopy. MATERIALS AND METHODS. Three Ivorine molar teeth of different designs were prepared. (A)-A complete crown preparation with buccal shoulder and beveled finish line. (B)-A complete crown preparation with chamfer finish line. (C)-A three-quarter crown preparation with proximal boxes and beveled finish line. Twenty four castings were prepared with eight castings for each design respectively. Each casting underwent examination with an explorer, disclosing media, and a stereomicroscope. Stereomicroscopy at a value less than or equal to 30 microns was used as a gold standard to evaluate the significance of different designs on marginal adaptation. Chi-square tests of independence and Kruskal-Wallis were used to evaluate the effect of preparation design and compare the agreement between examination methods for detection of marginal gap size of greater than or equal to 30 microns (${\alpha}$=.05). Sensitivity and specificity for explorer and disclosing media as compared to stereomicroscope was calculated using statistical formula given by Park. RESULTS. The preparation design did not significantly affect overall marginal adaptation. Examination by explorer and disclosing media at $30 \;{mu}m$ revealed 39% and 10.06% sensitivity and 91% and 82% specificity respectively. CONCLUSION. Preparation designs examined in this study did not significantly affect the marginal adaptation of the castings. Commonly used clinical evaluation techniques using explorer and disclosing media appeared to be inadequate for assessment of marginal accuracy.

DATING ISSUE OF THE NATIONAL FOUNDATION DAY OF KOREA (개천절 일자(日字)와 단군조선 개국년도 문제 고찰과 제언)

  • Park, Changbom
    • Publications of The Korean Astronomical Society
    • /
    • v.30 no.1
    • /
    • pp.1-9
    • /
    • 2015
  • The National Foundation Day of Korea (개천절, 開天節) is currently celebrated on October 3 in Gregorian calendar. We review the history of dating the National Foundation Day of Korea and make a suggestion that it be celebrated on October 3 in the lunar calendar. We present numerous historical records on heaven-worship rites supporting the date October 3 in the lunar calendar. It is pointed out that October 3 in the solar calendar has been adopted in 1949 by the National Assembly with the thought that the lunar calendar is inferior and behind the times. The thought originates from misunderstanding on the value of the lunar calendar and from the ignorance of importance of history and tradition. Since there are now many national holidays that follow the lunar calendar, the logic of the National Assembly in 1949 also makes no sense. We emphasize that the lunar calendar should be followed for the National Foundation Day of Korea for its historical and symbolic characteristics restoration. We also investigate the year of the foundation of the first country of Korea, Dangun Joseon. It is found that even though the majority of the literature before late 15th century recorded the beginning year of Dangun Joseon dynasty to be equal to that of Liao Dynasty (堯), it was accidentally changed to the 25th year of Liao Dynasty in 1484 through a misinterpretation of the previous records. We claim that the beginning year of Dangun Joseon should be set to that of Liao Dynasty as recorded in the original literature in the earlier days. According to the two main opinions accepted by Korea, the beginning year of Liao Dynasty was 2357 B.C. or 2333 B.C., which correspond to the year of Gap-Jin (the 41st year of the sexagenary cycle) or Mu-Jin (the 4th year of the sexagenary cycle), respectively.

Measurement of Energy bands of the MgO Layer in AC-PDPs

  • Jeoung, S.J.;Lee, H.J.;Son, C.G.;Kim, J.H.;Park, E.Y.;Hong, Y.J.;You, N.L.;Lee, S.B.;Han, Y.G.;Jeoung, S.H.;Song, K.B.;Moon, M.W.;Oh, P.Y.;Choi, E.H.
    • 한국정보디스플레이학회:학술대회논문집
    • /
    • 2006.08a
    • /
    • pp.906-909
    • /
    • 2006
  • The secondary electron emission coefficient $({\gamma})$ of the cathode is an important factor for improving the discharge characteristics of AC-PDPs because of its close relationship to discharge voltage. In AC-PDPs, MgO is most widely used as a surface protective layer. In this experimental, we have investigated the electronic structure of the energy band structure of the MgO layer responsible for the high ${\gamma}$. The MgO layers have been deposited by electron beam evaporation method, where the $O_2$ partial pressures have been varied as 0, $5.2{\times}10^{-5}$ torr, $1.0{\times}10^{-4}$ torr, and $4.1{\times}10^{-4}$ torr, in this experiment. It is noted that work function that is energy gap between surface and first defect level of MgO layer has the lowest value for the highest O2 partial pressure of $4.1^{\ast}10^{-4}$ Torr.

  • PDF

A Comparative Experiment on Thermal Stress Failure of Vacuum Glazing applied in Curtain Wall at Spandrel area (커튼월 스팬드럴용 진공유리의 열파손에 대한 비교실험)

  • Kim, Seung-Chul;Yoon, Jong-Ho;Shin, U-Cheol;Ahn, Jung-Hyuk
    • KIEAE Journal
    • /
    • v.16 no.3
    • /
    • pp.121-128
    • /
    • 2016
  • Purpose: The vacuum glazing should constantly retain the gap in vacuum state to maintain high thermal performance. To do so, pillars are used to prevent the glazing from clinging to each other by the atmospheric pressure and therefore surface of the vacuum glazing is consistently affected by residual stress. The vacuum glazing could be applied to curtain wall systems at spandrel area to fulfill a rigorous domestic standard on U-value of the external wall. However, this can lead to high glazing temperature increase by heat concentration at a back panel and finally thermal stress breakage. This study experimentally determined weakness of the vacuum glazing systems on the thermal stress breakage and investigated effect of the residual stress. Method: The experiment first built two scale-down mock-up facilities that replicate the spandrel area in curtain wall, and then installed single low-e glass and vacuum glazing respectively. The two mock-up facilities were exposed to outside to induce the thermal stress breakage. Result: The experiment showed that the temperature occurred the thermal stress breakage was $114.4^{\circ}C$ for the single low-e glass and $118.9^{\circ}C$ for the vacuum glazing respectively. The result also showed the vacuum glazing reached the critical point earlier than the single low-e glass, which means that the vacuum glazing has high potential to occur the thermal shock breakage. In addition, the small temperature difference between two glazing indicates that the residual stress scarcely affects breakage of the vacuum glazing.

Growth and Properties of $Cd_{1-x}$$Zn_x$/S Films Prepared by Chemical Bath Deposition for Photovoltaic Devices (Chemical Bath Depsoition법에 의한 $Cd_{1-x}$$Zn_x$/S 박막의 제조 및 특성에 관한 연구)

  • 송우창;이재형;김정호;박용관;양계준;유영식
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.14 no.2
    • /
    • pp.104-110
    • /
    • 2001
  • Structural, optical and electrical properties of Cd$_{1-x}$ Zn$_{x}$S films deposited by chemical bath deposition(CBD), which is a very attractive method for low-cost and large-area solar cells, are presented. Especially, in order to control more effectively the zinc component of the films, zinc acetate, which was used as the zinc source, was added in the reaction solution after preheating the reaction solution and the pH of the reaction solution decreased with increasing the concentration of zinc acetate. The films prepared after preheating and pH control had larger zinc component and higher optical band gap. The crystal structures of Cd$_{1-x}$ Zn$_{x}$S films was a wurtzite type with a preferential orientation of the (002) plane and the lattice constants of the films changed from the value for CdS to those for ZnS with increasing the mole ratio of the zinc acetate. The minimum lattice mismatch between Cd$_{1-x}$ Zn$_{x}$S and CdTe were 2.7% at the mole ratio of (ZnAc$_2$)/(CdAc$_2$+ZnAc$_2$)=0.4. As the more zinc substituted for Cd in the films, the optical transmittance improved, while the absorption edge shifted toward a shorterwavelength. the photoconductivity of the films was higher than the dark conductivity, while the ratio of those increased with increasing the mole ratio of zinc acetate. acetate.

  • PDF

Structural and Electrical Properties of (Na0.465K0.465Bi0.07)(Nb0.93Ti0.07)O3-0.08MnO2 Ceramics with Variation of Sintering Temperature (소결온도에 따른 (Na0.465K0.465Bi0.07)(Nb0.93Ti0.07)O3-0.08MnO2 세라믹스의 구조적, 전기적 특성)

  • Lee, Tae-Ho;Yeo, Jin-Ho;Lee, Sung-Gap
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.25 no.7
    • /
    • pp.506-510
    • /
    • 2012
  • In this study, lead-free $(Na_{0.465}K_{0.465}Bi_{0.07})(Nb_{0.93}Ti_{0.07})O_3-0.08MnO_2$ ceramics were fabricated by conventional mixed oxide method. Structural and electrical properties of lead-free $(Na_{0.465}K_{0.465}Bi_{0.07})(Nb_{0.93}Ti_{0.07})O_3-0.08MnO_2$ ceramics with the variation of sintering temperature were investigated. As results of x-ray diffraction analysis, all specimens showed a typical polycrystalline perovskite structure without presence of the second phase. Sintered density increased with an increases of sintering temperature and the specimen sintered at $1,020^{\circ}C$ showed the maximum value of 4.5 $g/cm^3$. The average grain size of the $(Na_{0.465}K_{0.465}Bi_{0.07})(Nb_{0.93}Ti_{0.07})O_3-0.08MnO_2$ specimen sintered at $1,020^{\circ}C$ is about 0.83 ${\mu}m$. Electromechanical coupling factor, relative dielectric constant and dielectric loss of $(Na_{0.465}K_{0.465}Bi_{0.07})(Nb_{0.93}Ti_{0.07})O_3-0.08MnO_2$ specimens sintered at $1,020^{\circ}C$ were 0.252, 741 and 0.043% respectively.