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Total Least Squares Fitting with Quadrics
Helmuth Spath 한국수학교육학회 2004 純粹 및 應用數學 Vol.11 No.2
A computational algorithm is developed for ¯tting given data in the plane or in 3-space by implicitly de¯ned quadrics. Implicity implies that the type of the quadric is part of the model and need not be known in advance. Starting with some estimate for the coe±cients of the quadric the method will alternatively determine the shortest distances from the given points onto the quadric and adapt the coe±cients such as to reduce the sum of those squared distances. Numerical examples are given.
마라 헬무트(Mara Helmuth),조영미(번역자) 한국전자음악협회 2021 에밀레 Vol.19 No.-
수십년간 기후 변화의 시대에서 작곡하는 컴퓨터 음악가는 오늘날 지구의 상황과 음악과 자연의 상호작용을 고려하면 유익할 것이다. 저자는 종종 자연의 소리나 환경적 문제, 확률적 과정과 알고리즘으로 만들어지는 그녀의 작품 속 음악과 과학을 통합하는 이원적 접근 방법에 대하여 논의한다. A computer musician composing in the age of climate change will benefit from considering the state of the earth today, and the interaction of music and nature. I discuss a dual approach incorporating music and science in my works which are often shaped by natural sound, environmental concerns, stochastic processes and algorithms.
정희석,챨리코즈리크,헬므쓰레슈 한국목재공학회 1984 목재공학 Vol.12 No.1
For the modification of kiln drying schedule, relations between resistance to drying Rd and the moisture content or drying times were found far 4/4, 6/4 and 8/4 green Douglas fir heartwood by the mild drying schedule and the severe drying schedule until the average moisture content was about 10 percent. The results of this study were as follows. 1. Resistance to drying of thicker lumber was higher than that of thinner lumber and resistance to drying of three different thicknesses were negligible between the mild-and the severe drying schedule. The relationships between resistance to drying and two schedules or three thcknesses of lumber were Rd₁= 1.830 x 10^5 M^(-2.24) for 4/4 lumber by the mild drying schedule, Rd₂= 1.822 x 10^5 M^(-2.25) for 4/4 lumber by the severe drying schedule, Rd₃= 2.352 x 10^5 M^(-2.14) for 6/4 lumber by the mild drying schedule, Rd₄= 3.457 x 10^5 M^(-2.27) for 6/4 lumber by the severe drying schedule, Rd_5 = 1.317 x 10^6 M^(-2.56) for 8/4 lumber by the mild drying schedule, Rd_6 = 8.267 x 10^5 M^(-2.40) for 8/4 lumber by the severe drying schedule. 2. Thinner 3umber exhibited lower level of moisture content and shorter drying time required at intersection point between the moisture content and resistance to drying as a function of drying time than those of thicker lumber. Drying time of mild drying was longer than that of severe drying and similar to the level of moisture content at intersection point.
Effect of Cavitation Bubble Collapse on the Modification of Solids: Crystallization Aspects
Skorb, Ekaterina V.,Mö,hwald, Helmuth,Andreeva, Daria V. American Chemical Society 2016 Langmuir Vol.32 No.43
<P>This review examines the concepts how cavitation bubble collapse affects crystalline structure, the crystallization of newly formed structures, and recrystallization. Although this subject can be discussed in a broad sense across the area of metastable crystallization, our main focus is discussing specific examples of the inorganic solids: metal, intermetallics, metal oxides, and silicon. First, the temperature up to which ultrasound heats solids is discussed. Cavitation-induced changes in the crystal size of intermetallic phases in binary AlNi (50 wt % of Ni) alloys allow an estimation of local temperatures on surfaces and in bulk material. The interplay between atomic solid-state diffusion and recrystallization during bubble collapses in heterogeneous systems is revealed. Furthermore, cavitation triggered red/ox processes at solid/liquid interfaces and their influence on recrystallization are discussed for copper aluminum nanocomposites, zinc, titanium, magnesium-based materials, and silicon. Cavitation-driven highly nonequilibrium conditions can affect the thermodynamics and kinetics of mesoscopic phase formation in heterogeneous systems and in many cases boost the macroscopic performance of composite materials, notably in catalytic alloy and photocatalytic semiconductor oxide properties, corrosion resistance, nanostructured surface biocompatibility, and optical properties.</P>
Coexistence of localized and collective magnetism in the coupled-spin-tetrahedra systemCu4Te5O12Cl4
Choi, Kwang-Yong,Do, Seunghwan,Lemmens, Peter,van Tol, Johan,Shin, Jiseon,Jeon, Gun Sang,Skourski, Yurii,Rhyee, Jong-Soo,Berger, Helmuth American Physical Society 2014 Physical review. B, Condensed matter and materials Vol.90 No.18