• Title/Summary/Keyword: band sum

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Ring of Four Almonds and the Omar Khayyam's Triangle in Islamic Art Design (이슬람 예술 디자인에서 회전하는 알몬드와 오마르 하얌의 삼각형)

  • Park, Jeanam;Park, Mingu
    • Journal for History of Mathematics
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    • v.32 no.4
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    • pp.159-173
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    • 2019
  • In this paper, we examine the brief history of the ring of four almonds regarding Mesopotamian mathematics, and present reasons why the Omar Khayyam's triangle, a special right triangle in a ring of four almonds, was essential for artisans due to its unique pattern. We presume that the ring of four almonds originated from a point symmetry figure given two concentric squares used in the proto-Sumerian Jemdet Nasr period (approximately 3000 B.C.) and a square halfway between two given concentric squares used during the time of the Old Akkadian period (2340-2200 B.C.) and the Old Babylonian age (2000-1600 B.C.). Artisans tried to create a new intricate pattern as almonds and 6-pointed stars by subdividing right triangles in the pattern of the popular altered Old Akkadian square band at the time. Therefore, artisans needed the Omar Khayyam's triangle, whose hypotenuse equals the sum of the short side and the perpendicular to the hypotenuse. We presume that artisans asked mathematicians how to construct the Omar Khayyam's triangle at a meeting between artisans and mathematicians in Isfahan. The construction of Omar Khayyam's triangle requires solving an irreducible cubic polynomial. Omar Khayyam was the first to classify equations of integer polynomials of degree up to three and then proceeded to solve all types of cubic equations by means of intersections of conic sections. Omar Khayyam's triangle gave practical meaning to the type of cubic equation $x^3+bx=cx^2+a$. The work of Omar Khayyam was completed by Descartes in the 17th century.

Calculation of Carrier Electron Concentration in ZnO Depending on Oxygen Partial Pressure

  • Kim, Eun-Dong;Park, Jong-Mun;Kim, Sang-Cheol;Kim, Nam-Kyun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.05b
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    • pp.222-232
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    • 2000
  • The relationship between carrier electron concentration(n) and atmosphere oxygen partial pressure($P_{O_2}$ for pure ZnO calculated by the mass-action law, well-known as n ${\propto}P^{-1/m}_{O_2}$ where m = 4 or 6 for the single or the double ionization of the native donor defects due to its nonstoichiometry, respectively, is found in competition with the calculation result on the basis that the total defect concentration is the sum of those of unionized and ionized defects. Definitively, it is found inconsistent with the calculation result by employing the Fermi-Dirac(FD) statistics for their ionization processes. By application of the FD statistics law to the ionization while assuming the defect formation is still ruled by the mass-action law, the calculation results shows the concentration is proportional to $P^{-1/2}_{O_2}$ whenever they ionize singly and/or doubly. Conclusively we would like to propose the new theoretical relation n ${\propto}P^{-1/m}_{O_2}$ because the ionization processes of donors in ZnO should be treated with the electronoccupation probability at localized quantum states in its forbidden band created by the donor defects, i.e. the FD statistics

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Hydroxyl Radical Measurements in the Flame Using LIF (레이저유도 형광법을 이용한 화염내 OH 농도분포 계측)

  • Lee, Byeong-Jun;Gil, Yong-Seok;Jeong, Seok-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.2
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    • pp.710-719
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    • 1996
  • Laser applied combustion diagnostic techniques-laser induced fluorescence (LIF) and coherent anti-Stokes Ramann spectroscopy (CARS)-are demonstrated. The profiles of hydroxyl radical (OH) and temperature in the counterflow burner are measured and compared with the numerical results. OH radical is excited on the Q$_1$(6) line of the $A^2$$\sum^+$$\leftarrow$$X^2{\prod}$(1, 0) band transition (281.1 nm) and LIF signal is measured at the the bands of (0, 0) and (1, 1) transition (306~326 nm). Absolute OH radical is obtained by using the laser absorption technique. The quenching effects are considered. Temperature is measured using broadband CARS system. Two dimensional OH radical profile is also obtained. The profiles of OH radical and temperature are found to agree well with those of numerical calculation.

Adaptive Spatial Domain FB-Predictors for Bearing Estimation (입사각 추정을 위한 적응 공간영역 FB-예측기)

  • Lee, Won-Cheol;Park, Sang-Taick;Cha, Il-Whan;Youn, Dae-Hee
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.3
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    • pp.160-166
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    • 1989
  • We propose adaptive algorithms computing the coefficients of spatial domain predictors. The method uses the LMS approach to compute the coefficients of the predictors realized by using the TDL(tapped-delay-line) and the ESC (escalator) structures. The predictors to be presented differ from the conventional ones in the sense that the relevant weights are updated such that the sum of the mean squared values of the forward and the backward prediction errors is minimized. Using the coefficients of such spatial domain predictors yields improved linear predictive spatial spectrums. The algorithms are applied to the problems of estimating incident angles of multiple narrow-band signals received by a linear array of sensors. Simulation results demonstrating the performances of the proposed methods are presented.

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Analyses of the Output Characteristics and the Internal Impedance of Dye-sensitized Solar Cell According to the Fabrication of the Blocking Layer (Blocking layer 제작에 따른 염료감응형 태양전지 출력특성 및 내부 임피던스 분석)

  • Kim, Jin-Kyoung;Son, Min-Kyu;Kim, Soo-Kyoung;Hong, Na-Yeong;Kim, Byung-Man;Prabarkar, Prabarkar;Kim, Hee-Je
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.1
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    • pp.85-88
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    • 2012
  • DSCs are based on a dye-adsorbed porous $TiO_2$ layer as a photo electrode [1]. Under the illumination, dye molecules are excited and electrons are produced. The injected electrons in the conduction band of $TiO_2$ may recombine with the electrolyte. To obtain high performance DSCs, it is essential to retard the recombination. The charge recombination can be reduced by forming core-shell structure. In this work, we investigated the core-shell structure with $Al_2O_3$ and MgO coating layer on the porous $TiO_2$ layer. We confirmed the photovoltaic properties by I-V characteristics. The current and the efficiency was improved. In addition to, Through decrease in the width of EIS arc, which is the sum of the interfacial charge transfer resistances of both electrodes, we can be indicated that the block effect.

XMCD and PES study of a compensated-ferrimagnetic half-metal Mn3Ga

  • Seong, Seungho;Lee, Eunsook;Kim, Hee Yeon;Kim, Younghak;Baik, Jaeyoon;Kang, J.S.
    • Current Applied Physics
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    • v.18 no.11
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    • pp.1190-1195
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    • 2018
  • By employing soft X-ray magnetic circular dichroism (XMCD), soft X-ray absorption spectroscopy (XAS), and photoemission spectroscopy (PES), we have investigated the electronic structure of the candidate zero-moment half-metallic $Mn_3Ga$. We have studied the ball-milled and annealed $Mn_3Ga$ powder samples that exhibit nearly zero magnetization. Mn 2p XAS revealed that Mn ions in $Mn_3Ga$ are nearly divalent for both of the Mn ions having the locally octahedral symmetry and those having the locally tetrahedral symmetry. The measured Mn 2p XMCD spectrum of $Mn_3Ga$ is very similar to that of ferrimagnetic $MnFe_2O_4$ having divalent Mn ions. The sum-rule analysis of the Mn 2p XMCD spectrum shows that both the spin and orbital magnetic moments of Mn ions in $Mn_3Ga$ are negligibly small, in agreement with the nearly compensated-ferrimagnetic ground state of $Mn_3Ga$. The valence-band PES spectrum of $Mn_3Ga$ agrees well with the calculated density of states, supporting the half-metallic electronic structure of $Mn_3Ga$.

A CELP Coder using the Band-Divided Long Term Prediction (대역 분할 장구간 예측을 이용한 CELP 부호화기)

  • Choi, Young-Soo;Kang, Hong-Goo;Lim, Myoung-Seob;Ahn, Dong-Soon;Youn, Dae-Hee
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.4
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    • pp.38-45
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    • 1995
  • In this paper a way to improve the performance of the long term prediction is proposed, which adopts the Multi-band Excitation (MBE) method in addition to the Code-Excited Linear Prediction (CELP) method at low bit rates below 4.8 kbps. In the proposed method, the multiband long term prediction is performed on the periodic components which still remain after the long term prediction of the conventional CELP method. At this point, the whole frequency region is divided into subbands whose size is equal to the spacing between the harmonics of the fundamental frequency, and the periodic multiband excitation signals. are represented as the sum of sine waves approximately as large as the spectrum of the excitation signals, so that the actual characteristics of the excitation signals can be better taken into account. To evaluate the performance of the proposed method, computer simulation is performed at 4.8 kbps. The 4.8 kbps DoD CELP and the 4.4 kbps IMBE were chosen as the reference vocoders for the speech quality measure. The result of the perceptual speech quality measure showed that the performance of the proposed method is better than that of the 4.8 kbps DoD CELP vocoder, and similar to that of the 4.4 kbps IMBE vocoder.

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Modified AWSSDR method for frequency-dependent reverberation time estimation (주파수 대역별 잔향시간 추정을 위한 변형된 AWSSDR 방식)

  • Min Sik Kim;Hyung Soon Kim
    • Phonetics and Speech Sciences
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    • v.15 no.4
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    • pp.91-100
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    • 2023
  • Reverberation time (T60) is a typical acoustic parameter that provides information about reverberation. Since the impacts of reverberation vary depending on the frequency bands even in the same space, frequency-dependent (FD) T60, which offers detailed insights into the acoustic environments, can be useful. However, most conventional blind T60 estimation methods, which estimate the T60 from speech signals, focus on fullband T60 estimation, and a few blind FDT60 estimation methods commonly show poor performance in the low-frequency bands. This paper introduces a modified approach based on Attentive pooling based Weighted Sum of Spectral Decay Rates (AWSSDR), previously proposed for blind T60 estimation, by extending its target from fullband T60 to FDT60. The experimental results show that the proposed method outperforms conventional blind FDT60 estimation methods on the acoustic characterization of environments (ACE) challenge evaluation dataset. Notably, it consistently exhibits excellent estimation performance in all frequency bands. This demonstrates that the mechanism of the AWSSDR method is valuable for blind FDT60 estimation because it reflects the FD variations in the impact of reverberation, aggregating information about FDT60 from the speech signal by processing the spectral decay rates associated with the physical properties of reverberation in each frequency band.

A Study on the Principle of Making-Music of the Chaegut ("Stroke Music") in Farmers' Band Music (풍물굿 채굿 가락의 형성원리에 관한 연구)

  • Lee, Yong-Shik
    • (The) Research of the performance art and culture
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    • no.39
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    • pp.669-700
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    • 2019
  • Farmers' band music is a religious ritual in Korea. It is a solemn ritual to exhibit the auspicious holiness of the people to the God. Most of the ritual is accomplished by music. The music of the farmers 'band, in this sense, has its meaning as the expression of holiness by sound. In this paper, I will explore the principle to make various rhythms of farmers' band music, especially focusing on the chaegut (lit. "stroke music"). It is very symbolic because the name of the music shows the strokes of the gong, called jing, in a rhythmic phrase. In this sense, the chaegut is man-made music based on the specific principles in accordance with the strokes of the gong. Among many chaegut rhythms, samchae (lit. "three strokes") to chilchae (lit. "seven strokes") are the main rhythms. They were made after the principle of 'forward with drums, backward with gongs' in Five way procession. It the basic principle of military procession from the early Joseon Dynasty. The procession follows with the sound of the drums and gongs. There was always a principle of "five strokes" to control the procession. The "five strokes" became the basis of the making of chaegut rhythms. The rhythms of the samchae to chilchae are based on the rhythm of samchae. The samchae has three gong strokes in a cycle, which exhibits the chaotic moment with the rhythmic noise. The name of the rhythm exhibits the correspondence of the signifiant, that is the name "three strokes" and the signifié, that is the real three strokes of gongs in music. Other four rhythms has made up from the samchae with half cycles are added in accordance with the strokes of the gongs. In this way, the chaegut shows the principle of "five strokes" in the military procession. The rhythm of ochae jilgut is a mixture of ochae (lit. "five strokes") and jilgut (lit. "road music") which is usually performed on the road to a mountain shrine. The musical structure of ochae jilgut corresponds to the colotomic structure of Southeast Asian music and the 15th-century music of old musical scores. The rhythm of gilgunak chilchae is a mixture of gilgunak (lit. "road military music") and chilchae (lit. "seven strokes"). The rhythmic structure is similar to other regional music, sijo ("short song") of the literati music and norae garak (lit. "some melody") of the shaman music. In sum, the chaegut is very artistic music made from the military procession of the Joseon Dynasty. The name of the rhythm corresponds with the strokes of the gong in a cycle. In this way, the chaegut shows the principle of music-making to exhibit the ritual characteristics of the Korean people.

An Analysis of the Job Performance in Operative Restoration by Dental Hygienists (치과위생사의 치과보존분야 직무수행 현황 분석)

  • Cho, Pyeong-Kyu
    • Journal of Korean society of Dental Hygiene
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    • v.4 no.2
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    • pp.277-291
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    • 2004
  • The purpose of this study is to analyze the dental hygienists' overall performance in operative restoration and the clinical performance in operative restoration according to dental hygienists' career and to provide basic data for establishing the appropriate range of dental hygienists' work. Subjects of this study are 339 dental hygienists working at dental clinic and hospital nationwide, selected by their working place, career, type of clinic, and location of clinical institution. The distribution of people who responded to the survey shows that 81 belong to beginner level(less than 2 years since entering clinic), 115 intermediate level(2 to 3 years since entering clinic), 81 higher level(4 to 5 years since entering clinic) and 62 advanced level(more than 6 years since their entering clinic). In terms of the types of clinical institution, 178 belong to dental clinics and 161 belong to dental hospitals. The survey used in this study are focused on perception about clinical performance in operative dentistry and adequacy of the work. Operative dentistry consists of operative restoration and endodontic therapy. The operative restoration consists of 15 categories such as patient welcoming, examination and diagnosis, planning of treatment, anesthesia, control of moisture, cavity preparation, pulp protection, matrix band application, amalgam filling, resin filling, glass ionomer cement filling, abrasive strip removal, rubber dam removal, bite check and polishing, patient education, and arrangement. The reliability was Cronbach's Alpha .9453. SPSS 10.0 for Windows was used to analyze the responses. One way ANOVA was utilized to verify the differences in the dental hygienists' job performance in operative restoration and their job performance according to career. When significant difference was found. Duncan multi comparison post hoc was done. To sum up the results of this study, patient welcoming look the first place in the operative restoration. It was followed by patient education, examination and diagnosis, introducing treatment plan, resin filling, glass ionomer cement filling, amalgam filling, bite check and polishing, anesthesia, pulp protection, control of moisture, abrasive strip removal, cavity preparation, matrix band application, rubber dam removal, and anesthesia. In terms of the clinical performance by career, there were significant differences in 19 activities such as medical eraluation, oral examination, patient charting, intra oral readio graphs, firm developing fixing mounting, curing light gun, education of attention content after operation. Based on the results of this study, the specific range of operative restoration for dental hygienists should be focused on providing basic data for dentists' diagnosis, alleviation of fear and aching accompanied by injection and anesthesia, data providing for dentists' decision of anesthesia degree, and maximization of control of moisture.

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