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Unified Parametric Approaches for Observer Design in Matrix Second-order Linear Systems

  • Wu Yun-Li;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.159-165
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    • 2005
  • This paper designs observers for matrix second-order linear systems on the basis of generalized eigenstructure assignment via unified parametric approach. It is shown that the problem is closely related with a type of so-called generalized matrix second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass system is utilized to show the effect of the proposed approaches.

Micro-groove machining of SUS304 using by femto second laser (펨토초 레이저를 이용한 SUS304 의 마이크로 홈가공)

  • Kwak T.S.;Ohmori H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1179-1180
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    • 2005
  • 3D micro scaled shapes are fabricated with the method of direct writing and superposing grooving in ambient air using femto-second laser pulses and copper, aiming at establishing an industrially useful femto-second laser processing machine to be able to fabricate three dimensional micro-scale structures, especially micro scaled molds, and processing techniques. For the several advantages, there is no thermally influenced region around the area irradiated by the laser beam and surfaces irradiated laser beam are smooth and substances ablated to form are no attached on the surface of works and so on, the femto-second laser technology is anticipated for advanced micro/nano precision technology.

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Unsteady Components of Second-order Velocity and Temperature in a Pulse Tube (맥동관 내부의 2차 속도와 온도의 비정상성분)

  • 박희찬;정은수
    • Progress in Superconductivity and Cryogenics
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    • v.3 no.2
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    • pp.69-76
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    • 2001
  • Unsteady components of the second-order axial velocity and temperature within a tapered pulse tube were obtained by using a novel hybrid method of solution which combines an analytical solution with a numerical solution. The effects of operating frequency, taper angle and cold eng temperature on the unsteady components of the second-order axial velocity and temperature were shown. The unsteady component of the second-order mass flux had the amplitude of the same order as the steady component when the velocities at the ends of the pulse tube have only first-order components.

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ROENTGENOGRAPHIC STUDIES ON THE DEVELOPMENT OF ROOTS OF MANDIBULAR SECOND MOLARS (하악제2대구치 치근 발육에 관한 X-선학적 연구)

  • Cho Jung Hyun
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.1 no.1
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    • pp.13-19
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    • 1971
  • The author has studied on 910 roentgenograms of lower second molars, which were taken by intraoral technic, and obtained the following results. 1. The development of crown of lower second molars was completed 8.25 years. 2. The formation of mesial and distal roots in full length on lower second molars was completed as follows: a. mesial roots 15. 07 years b. distal roots 15. 53 years 3. The formation of apical foramina of mesial and distal roots of lower second molars was closured as follows: a. apical foramen of mesial root 18.00 years b. apical foramen of distal root 18.79 years 4. As a general rule, the mesial roots were developed more earlier than distal roots.

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Mandibular second and third molar protraction with orthodontic mini-implants: case report (교정용 미니임플란트를 이용한 하악 제2, 3대구치의 전방이동 : 증례보고)

  • Choi, Sung-Kwon;Kang, Kyung-Hwa
    • The Journal of the Korean dental association
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    • v.57 no.11
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    • pp.654-663
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    • 2019
  • This case report describes the management of a 30-year-old woman with hopeless mandibular first molars and right maxillary second premolar. The treatment plan included mandibular second and third molar protraction after extraction of mandibular first molars. Mini-implants were placed between roots of first and second premolar. Sliding mechanics with lever arm was used to prevent inclination of molars. A good functional occlusion was achieved in 38 months without clinically significant side effects. Most of the extraction space of mandibular first molar was closed by protraction of second and third molars. The skeletal Class II pattern was improved by counterclockwise rotation of mandible through reduction of wedge effect. Mandibular molar protraction with orthodontic mini-implants in adequate cases would be a great alternative to prosthetic implant and reduce the financial and surgical burden of patients.

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A Formulation of Iterative Eigenvalue Analysis Algorithm to the Second Order Newton Raphson Method (반복계산에 의한 고유치 해석 알고리즘의 2차 뉴튼랩슨법으로의 정식화)

  • Kim, Deok-Yeong
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.3
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    • pp.127-133
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    • 2002
  • This paper presents an efficient improvement of the iterative eigenvalue calculation method of the AESOPS algorithm. The intuitively and heuristically approximated iterative eigenvalue calculation method of the AESOPS algorithm is transformed to the Second Order Newton Raphson Method which is generally used in numerical analysis. The equations of second order partial differentiation of external torque, terminal and internal voltages are derived from the original AESOPS algorithm. Therefore only a few calculation steps are added to transform the intuitively and heuristically approximated AESOPS algorithm to the Second Order Newton Raphson Method, while the merits of original algorithm are still preserved.

Asymmetry in mesial root number and morphology in mandibular second molars: a case report

  • Nayak, Gurudutt;Shetty, Shashit;Shekhar, Rhitu
    • Restorative Dentistry and Endodontics
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    • v.39 no.1
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    • pp.45-50
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    • 2014
  • Ambiguity in the root morphology of the mandibular second molars is quite common. The most common root canal configuration is 2 roots and 3 canals, nonetheless other possibilities may still exist. The presence of accessory roots is an interesting example of anatomic root variation. While the presence of radix entomolaris or radix paramolaris is regarded as a typical clinical finding of a three-rooted mandibular second permanent molar, the occurrence of an additional mesial root is rather uncommon and represents a possibility of deviation from the regular norms. This case report describes successful endodontic management of a three-rooted mandibular second molar presenting with an unusual accessory mesial root, which was identified with the aid of multiangled radiographs and cone-beam computed tomography imaging. This article also discusses the prevalence, etiology, morphological variations, clinical approach to diagnosis, and significance of supernumerary roots in contemporary clinical dentistry.

A Comment on Presentation Order of Thermodynamic Laws for Undergraduate Mechanical-Engineering Education by Example Problems (예제를 통해 본 학부 기계공학 교육에서 열역학 법칙의 소개 순서에 대한 논평)

  • Park, Kyoung Kuhn
    • Journal of Engineering Education Research
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    • v.21 no.2
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    • pp.3-6
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    • 2018
  • A few thermodynamics texts are commonly found to have unrealistic example problems in which the process violates the second law of thermodynamics. This error would result from presentation order in the text which introduces first the first law for cycles, systems, and control volumes and then the second law later. In the presentation order, the example problems deal only with the first law without telling whether the process violates the second law. To correct this erroneous situation, it could be recommended to present the first law and the second law successively so that both laws could be applied simultaneously to the given example problems.

FRACTIONAL INTEGRATION AND DIFFERENTIATION OF THE (p, q)-EXTENDED MODIFIED BESSEL FUNCTION OF THE SECOND KIND AND INTEGRAL TRANSFORMS

  • Purnima Chopra;Mamta Gupta;Kanak Modi
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.755-772
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    • 2023
  • Our aim is to establish certain image formulas of the (p, q)-extended modified Bessel function of the second kind Mν,p,q(z) by employing the Marichev-Saigo-Maeda fractional calculus (integral and differential) operators including their composition formulas and using certain integral transforms involving (p, q)-extended modified Bessel function of the second kind Mν,p,q(z). Corresponding assertions for the Saigo's, Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, q)-extended modified Bessel function of the second kind Mν,p,q(z) and Fox-Wright function rΨs(z).

A Highly Linear Self Oscillating Mixer Using Second Harmonic Injection (2차 고조파 주입을 사용한 고 선형성의 자체 발진 혼합기)

  • Kim, Min-Hoe;Cho, Choon-Sik;Lee, Jae-Wook
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.6
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    • pp.682-690
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    • 2012
  • In this paper, a highly linear self oscillating mixers(SOM) using second harmonic injections are presented. The H-slot defected ground structure(DGS) is designed as a balanced resonator for oscillation in the proposed SOM. Since the H-slot DGS resonator achieves a high Q factor, it is a suitable structure to provide low phase noise for the oscillator. The single balanced mixer is utilized in this work and it provides good LO-RF isolation since balanced LO signals are suppressed at the RF input port. In order to inject the second harmonic of the IF, we propose two different methods using feedback loops. In the first method, IF achieves a 3.08 dB conversion gain at 226 MHz with input power of -20 dBm at 5 GHz RF input signal. The IF achieves 2 dB conversion gain at 423 MHz with the input power of -20 dBm at 5.2 GHz RF input signal in the second method. The measured IMD3s are 61.8 dB and 65 dB for the each method. These SOMs present improved linearity compared to that without the second harmonic injection because IMD3s are improved by 18. dB and 21 dB for each method.