• Journal of electromagnetic engineering and science
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• v.16 no.2
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• pp.112-118
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• 2016

Alternative analytic expressions for the mutual inductance ($L_m$) and coupling coefficient (k) between circular loops are presented using more familiar and convenient expressions that represent the property of reciprocity clearly. In particular, the coupling coefficients are expressed in terms of structural dimensions normalized to a geometric mean of radii of two loops. Based on the presented expressions, various aspects of the mutual inductances and coupling coefficients, including the regions of positive, zero, and negative value, are examined with respect to their impacts on the efficiency of wireless power transmission.

• Geophysics and Geophysical Exploration
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• v.23 no.2
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• pp.67-71
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• 2020

In this study, we derive closed-form expressions of magnetic gradient tensor due to a circular cylinder. Because the expression for magnetic field has been derived in a previously conducted study, expressions are developed for the magnetic gradient tensor based on the derivatives of the expressions of magnetic field with respect to the variables of the Cartesian coordinates. Furthermore, expressions are derived for the magnetic gradient tensor based on the relations between the Cartesian and cylindrical coordinates in the derivative because the expression for magnetic field contains variables of cylindrical coordinates owing to its axial symmetry.

• Cross-Cultural Studies
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• v.31
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• pp.371-394
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• 2013

This study aims to know word forms and usages according to personal relationships of 'Kureru Kudasaru' by analyzing dialogues of female speakers. Novels of the Meiji period when there were attempts of a language revolution were mainly used for this study as well as novels of the Edo Period and the Taisho Period. Firstly, the number of examples according to gender differences in the novels was as follows. In case of 'Kureru', female speakers showed a high usage rate in the novels of the Edo period. 'Kureru' was mostly connected with female languages such as 'Naharu', 'Namasu', 'Nansu'. These expressions were not used in the novels of the Meiji Period and the Taisho Period. Although 'Okureru' and 'Okurenasaru' were used in the novels of the Meiji Period, the number of examples of 'Kureru' by female speakers was decreased in the novels of the Meiji Period and the Taisho Period. 'Kudasaru' was predominantly used by female speakers. Especially, female speakers used clearly to show vertical relationships in the novels of the Edo Period and"Doseishoseikatagi"of Meiji 10s. After"Ukigumo", the usage rate of female speakers was decreased but the usage rate of male speakers was increased. Gender differences became gradually smaller. Female speakers in the novels were increased from geisha and relatives such as wife, sister, mother and children to young women, teacher and student. Aspects of benefactive verbs' usages could be summarized as follows. Female speakers at licensed quarters used clearer and more typical expressions according to vertical relationships and gender differences in the novels of The Edo Period than the novels of The Meiji Period and the Taisho Period. In the novels of the Meiji Period, female speakers in a sophisticated social group used benefactive verbs to show strong respect and concern for the other person. In the novels of the Taisho Period, female speakers used benefactive verbs to show respect and concern for the other person according to their areas of outside activities. In the novels of the Meiji Period, female speakers used 'Okureru' when the other person was younger than them and was socially and psychologically close to them. Also, 'O~Nasaru' which was one of respect expressions was used by female speakers. Female speakers used it to older people in the Edo period but they also used it to younger people in the Meiji Period. Examples were not shown in the novels of the Taisho Period. Usages of 'Kureru' 'Kudasaru' according to vertical relationships were as follows. If 'a giver' was an older person, 'Kureru' with respect expressions 'Nasaru' 'Nansu' 'Namasu' was used more than 'Kudasaru' in the novels of the Edo Period. However, many examples of 'Kudasaru' were shown on the novels of the Meiji Period and the Taisho period. In the novels of the Meiji Period, 'Okureru' and 'Okurenasaru' which were expressions included in 'Kureru' were shown. Female speakers used them to older people who were socially and psychologically close to them like family. There were not many examples of 'a giver' and 'a receiver' around the same age. However, 'Kureru' and 'Okureru' were used in a younger group and 'Kudasaru' was used in an older group in the novels of the Meiji Period. If 'a giver' was an younger person, 'Kureru' was mainly used in the novels of the Edo period and "Doseishoseikatagi"in Meiji 10s. However, 'Kudasaru' was used many times in the novels of the latter Meiji Period and the Taisho Period.

• Journal of the Korean Magnetics Society
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• v.8 no.2
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• pp.49-56
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• 1998

Explicit and closed-form expressions describing magnetic behaviors of uniaxial magnetic materials are derived. Explicit and closed-form expressions for magnetic torque, magnetization orientation, and thier derivative functions with respect to the intensity and the orientation of an applied field. Those explicit expressions could give elegant mehtods of measuring magnetic anisotropy and saturation magnetization by the least squre fitting. In addition, on could use them to study the distribution function of magnetic propeties of a non-interacting magnetic aggregate.

• Geophysics and Geophysical Exploration
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• v.25 no.1
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• pp.44-49
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• 2022

Closed-form expressions of vector gravity and gravity gradient tensor based on a line segment are derived. If a cylindrical object with axial symmetry is observed from a distance, it is possible to approximate it as a line segment; therefore, it is necessary to compute the gravity and the gravity gradient tensor due to a line source by using closed-form expressions. The gravitational potential for a line segment is defined as a one-dimensional integral, and this integral is differentiated with respect to the Cartesian coordinate system to derive the vector gravity. The expressions of the gravity gradient tensor are derived by differentiating the vector gravity once more in the same coordinate system.

• Geophysics and Geophysical Exploration
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• v.23 no.1
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• pp.55-60
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• 2020

The closed-form expressions of gravity, magnetic, gravity gradient tensor, and magnetic gradient tensor due to a rectangular prism are derived. The vertical gravity is derived via triple integration of a rectangular prism in Cartesian coordinates, and the two horizontal components of vector gravity are then derived via cycle permutation of the axis variables of vertical gravity through the axial symmetry of the rectangular prism. The gravity gradient tensor is obtained by differentiating the vector gravity with respect to each coordinate. Using Poisson's relation, a vector magnetic field with constant magnetic direction can be obtained from the gravity gradient tensor. Finally, the magnetic gradient tensor is derived by differentiating the vector magnetic with respect to appropriate coordinates.

• Geophysics and Geophysical Exploration
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• v.24 no.1
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• pp.1-5
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• 2021

The closed-form expressions of the vector gravity and gravity gradient tensor due to a circular disk are derived. The gravity potential due to a circular disk with a constant density is defined for a cylindrical system. Then, the vector gravity is derived by differentiating the gravity potential with respect to cylindrical coordinates. The radial component of the vector gravity in the cylindrical system is converted into horizontal gravity components in the Cartesian system. Finally, the gravity gradient tensor due to a circular disk is obtained by differentiating the vector gravity with respect to the Cartesian coordinates.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2004.10a
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• pp.347-354
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• 2004

Using an efficient adjoint variable method, we develop a unified design sensitivity analysis (DSA) method considering both steady state nonlinear heat conduction and geometrical nonlinear elasticity problems. Design sensitivity expressions with respect to thermal conductivity and Young's modulus are derived. Beside the temperature and displacement adjoint equations, another coupled one is defined regarding the obtained adjoint displacement field as the adjoint load in temperature field. The developed DSA method is shown to be very efficient and further extended to a topology design optimization method for the nonlinear weakly coupled thermo-elasticity problems using a density approach.

• Journal of Electrical Engineering and information Science
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• v.2 no.6
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• pp.56-63
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• 1997

Under most system assumptions, closed form solutions of performance measures for ATM switches with input queueing are not available. In this paper, we present expressions and bounds for the derivatives of cell loss probabilities with respect to the arrival rate evaluated at a zero arrival rate. These bounds are used to give an approximation by Taylor expansion, thereby providing an economical way to estimate cell loss probabilities in light traffic.

• Structural Engineering and Mechanics
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• v.20 no.3
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• pp.347-362
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• 2005

The input energy to a base-isolated (BI) building during an earthquake is considered and formulated in the frequency domain. The frequency-domain approach for input energy computation has some notable advantages over the conventional time-domain approach. Sensitivities of the input energy to the BI building are derived with respect to uncertain parameters in the base-isolation system. It is demonstrated that the input energy can be of a compact form via the frequency integration of the product between the input component (Fourier amplitude spectrum of acceleration) and the structural model component (so-called energy transfer function). With the help of this compact form, it is shown that the formulation of earthquake input energy in the frequency domain is essential for deriving the sensitivities of the input energy to the BI building with respect to uncertain parameters. The sensitivity expressions provide us with information on the most unfavorable combination of the uncertain parameters which leads to the maximum energy input.