• Title/Summary/Keyword: unit circle

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On f-cosymplectic and (k, µ)-cosymplectic Manifolds Admitting Fischer -Marsden Conjecture

  • Sangeetha Mahadevappa;Halammanavar Gangadharappa Nagaraja
    • Kyungpook Mathematical Journal
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    • v.63 no.3
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    • pp.507-519
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    • 2023
  • The aim of this paper is to study the Fisher-Marsden conjucture in the frame work of f-cosymplectic and (k, µ)-cosymplectic manifolds. First we prove that a compact f-cosymplectic manifold satisfying the Fisher-Marsden equation R'*g = 0 is either Einstein manifold or locally product of Kahler manifold and an interval or unit circle S1. Further we obtain that in almost (k, µ)-cosymplectic manifold with k < 0, the Fisher-Marsden equation has a trivial solution.

Development of Weight Type Rounded Snow Plate (중량식 원형 적설판 개발에 관한 연구)

  • Lee, Bu-Yong;Kim, Hyun-Chul
    • Atmosphere
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    • v.19 no.1
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    • pp.1-8
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    • 2009
  • We need water equivalent unit data of snowfall for the purpose of forecast and hydrology related research area. This study developed new method of automatic recording snowfall as weight unit with circle type plate using stain-gauge loadcell. Field test of instrument carried out at Daegwallyeong Obs. Station from 20 to 23 Jan. 2008 during heavy snowfall. There is 74.2cm snow depth and 54.6mm precipitation by Daegwallyeong Obs. Station. But the instrument of this study recorded 71.0mm of precipitation amount. Because of different observation method can cause more 15.4mm than Daegwallyeong Obs. Station. But this study gives the possibility of observation of new snow fall measurement under freezing conditions of snow. From the observation data the density of snowfall calculated from 0.09 to $1015g/cm_3$ from the observation period. And have a good relations between manual observation and automatic observation data from this study instrument with slope of 1.35 to 1.39.

Design and Implementation of IIR Multiple Notch Filter with Modified Pole-Zero Placement Algorithm

  • Yimman, Surapun;Hinjit, Watcharapong;Ussawongaraya, Weerasak;Thoopluang, Payao;Dejhan, Kobchai
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.65-68
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    • 2003
  • This paper presents a design and construction of IIR multiple notch filter by modifying the pole-zero placement with least square estimation to find the appropriate gain and pole positions for the filter within a unit circle in z-plane. The appropriated gain and pole position will render the controllable unit gain of filter magnitude. Algorithm design and system simulation are performed on MATLAB while the actual implementation is done on the TMS320C31 digital signal processing board.

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On the critical maps of the dirichlet functional with volume constraint

  • Koh, Young-Mee
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.303-308
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    • 1995
  • We consider a torus T, that is, a compact surface with genus 1 and $\Omega = D^2 \times S^1$ topologically with $\partial\Omega = T$, where $D^2$ is the open unit disk and $S^1$ is the unit circle. Let $\omega = (x,y)$ denote the generic point on T. For a smooth immersion $u : T \to R^3$, we define the Dirichlet functional by $$ E(u) = \frac{2}{1} \int_{T} $\mid$\nabla u$\mid$^2 d\omega $$ and the volume functional by $$ V(u) = \frac{3}{1} \int_{T} u \cdot u_x \Lambda u_y d\omege $$.

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NUMBER THEORETICAL PROPERTIES OF ROMIK'S DYNAMICAL SYSTEM

  • Cha, Byungchul;Kim, Dong Han
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.251-274
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    • 2020
  • We study a dynamical system that was originally defined by Romik in 2008 using an old theorem of Berggren concerning Pythagorean triples. Romik's system is closely related to the Farey map on the unit interval which generates an additive continued fraction algorithm. We explore some number theoretical properties of the Romik system. In particular, we prove an analogue of Lagrange's theorem in the case of the Romik system on the unit quarter circle, which states that a point possesses an eventually periodic digit expansion if and only if the point is defined over a real quadratic extension field of rationals.

A Study on the Alignment of Aiming Sight Unit for Infrared Homing Missile (적외선 호밍 유도탄의 조준축 정렬에 관한 연구)

  • Jung Young-Sook
    • Journal of the Korea Institute of Military Science and Technology
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    • v.7 no.3 s.18
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    • pp.30-37
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    • 2004
  • For a proper operation of portable air defense IR terminal homing missile to the rapid intruding target, the boresight of an IR seeker of the missile should be accurately aligned with the gunner's aiming sight. Before a gunner fires the missile, he tries to keep the target within the circle of ASU ensuring the seeker to lock on the target correctly. In this paper, using an electrical seeker caging loop and IR detector signal characteristics, a precise aligning method between the seeker boresight and the LOS(Line of Sight) of ASU(Aiming Sight Unit) was studied. Although every seeker has slightly different SLA (Signal of Look Angle) output, we can get negligible alignment error through a fine tuning method of electrical caging signal. This alignment procedure was also adopted in K-PSAM system.

Effect of the Pattern Making Method on the Silhouette of the Flared Skirt (패턴 제작 방법이 플레어스커트의 실루엣에 미치는 영향)

  • Shin, Young-Ran;Chu, Mi-Seon
    • Fashion & Textile Research Journal
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    • v.10 no.6
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    • pp.989-996
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    • 2008
  • The purpose of this study is to provide the basic knowledge for the pattern development of a flared skirt. Two flat pattern (FP) methods, the concentric circle method and the corrected concentric circle method, and a draping were used for pattern making. Using these patterns, skirts were made with lengthwise grain in the centerline. The influence of pattern making method on the silhouette of the flared skirt was evaluated by the hemlines formed at the skirt worn in a dress form. Moreover, the combined influence of pattern making method and cutting direction on the silhouette of the flared skirt was examined with the draping pattern (DP) skirt and a FP skirt with $45^{\circ}$ bias grain in the centerline. The DP skirt had more uniform nodes and formed a stable wave form than the FP skirts throughout the whole hemlines. The number of nodes was reduced with lining in the two FP skirts, whereas the number of nodes was not changed in the DP skirt. The unit wave form of all the skirts by three patterns showed long loop form, and the slope angles of the unit wave form of the two FP skirts were higher than that of the DP skirt. The silhouette of the flared skirt was highly influenced by the shape of the waist circumference line in patterns. The DP skirt with lengthwise grain in the centerline showed good silhouette with uniform nodes and high marking efficiency, compared to the FP skirt with $45^{\circ}$ bias grain in the centerline.

Classification and Compensation of DC Offset Error and Scale Error in Resolver Signals

  • Lee, Won;Moon, Jong-Joo;Im, Won-Sang;Park, June-Ho;Kim, Jang-Mok
    • Journal of Power Electronics
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    • v.16 no.3
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    • pp.1190-1199
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    • 2016
  • This study proposes a classification and compensation algorithm of two non-ideal output signals of a resolver to reduce position errors. Practically, a resolver generates position errors because of amplitude imbalance and quadrature imperfection between the two output signals of the resolver. In this study, a digital signal processor system based on a resolver-to-digital converter is used to reconstruct the two output signals of the resolver. The two output signals, "sin" and "cos," can be represented by a unit circle on the xy-plot. The classification and compensation of the errors can be obtained by using the radius and area of the circle made by the resolver signals. The method computes the integration of the areas made by the two resolver output signals to classify and compensate the error. This system cannot be applied during transient response given that the area integration during the transient state causes an error in the proposed method. The proposed method does not need any additional hardware. The experimental results verify the effectiveness of the proposed algorithm.

A Unit Selection Methods using Flexible Break in a Japanese TTS (일본어 합성기에서 유동 Break를 이용한 합성단위 선택 방법)

  • Song, Young-Hwan;Na, Deok-Su;Kim, Jong-Kuk;Bae, Myung-Jin;Lee, Jong-Seok
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.8
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    • pp.403-408
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    • 2007
  • In a large corpus-based speech synthesizer, a break, which is a parameter influencing the naturalness and intelligibility, is used as an important feature during a unit selection process. Japanese is a language having intonations, which ate indicated by the relative differences in pitch heights and the APs(Accentual Phrases) are placed according to the changes of the accents while a break occurs on a boundary of the APs. Although a break can be predicted by using J-ToBI(Japanese-Tones and Break Indices), which is a rule-based or statistical approach, it is very difficult to predict a break exactly due to the flexibility. Therefore, in this paper, a method is to conduct a unit search by dividing breaks into two types, such as a fixed break and a flexible break, in order to use the advantages of a large-scale corpus, which includes various types of prosodies. As a result of an experiment, the proposed unit selection method contributed itself to enhance the naturalness of synthesized speeches.

A Study on the Design of Horizontal Traverse Units in an Automatic Object Changer Unit to Establish a Flexible Production System (Part 2) (유연생산 시스템 구축을 위한 공작물 자동교환 유닛의 수평 이송 기구 설계에 관한 연구(파트 2))

  • Park, Hoo-Myung;Sung, Jae-Kyung;Lee, Yong-Joong;Ha, Man-Kyung
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.2
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    • pp.52-59
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    • 2008
  • The objective of this study is to develop an automatic object changer unit to improve processing problems existed in the conventional horizontal machining center. To achieve this goal, this study designed a horizontal transfer as the second project continued to the first project that designed a upward and downward traverse unit. A horizontal traverse unit shows a symmetric structure and consists of frame, which consists of four unit tools, motor and reducer, which are fixed at a frame, operation unit with pinions, first traverse unit, and second traverse unit. Constraint conditions based on the operation mechanism with these elements were configured and obtained following results after modeling a model for a traverse motor. In the kinematic expression of sliding motion with one degree of freedom, the sliding motion is constrained. Also, the rack 3 installed at a frame is used to configure possible kinematic constraint conditions of the rack 2 according to the rolling motion of the pinion 2 in the first traverse unit. In addition, the moment of inertia that is a type of kinetic energy in a converted horizontal traverse unit in the side of the reducer can be applied to introduce the moment of inertia of a converted horizontal traverse unit in the side of the reducer by using the sum of kinetic energy in the rack and pinion, which is a part of the horizontal traverse unit. Also, the equation of motion of the converted upward and downward traverse unit in the side of the motor using the equation of motion of the motor. Furthermore, the horizontal traverse unit predetermines the mass of the first and second traverse unit and applied load including the radius and reduction ratio of the pitch circle in the pinion 1 and applied load to the rack 2. Then, a proper motor can be determined using several parameters in the upward and downward traverse unit in order to verify such predetermined specifications. In future studies later this study, a simulation that verifies the results of the previous two stages of studies using a finite element method.

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